Table_1
Name   |   Activity  | LogTime
A      |    0        | 2018-12-17 10:16:04.877
A      |    1        | 2018-12-15 10:16:04.877
A      |    0        | 2018-12-16 10:16:04.877
A      |    0        | 2018-12-10 10:16:04.877
A      |    0        | 2018-12-10 10:10:04.877
B      |    1        | 2018-12-16 10:16:04.877
B      |    0        | 2018-12-17 10:16:04.877
C      |    1        | 2018-12-14 10:16:04.877
C      |    1        | 2018-12-12 10:16:04.877
C      |    1        | 2018-12-18 10:16:04.877

Name |   TOTALActivity_0  | TOTALActivity_1  |  LatestActivity_0_Logtime  | LatestActivity_1_Logtime
A    |      4             |     1            |  2018-12-17 10:16:04.877   |  2018-12-15 10:16:04.877
B    |      1             |     1            |  2018-12-17 10:16:04.877   |  2018-12-16 10:16:04.877
C    |      0             |     3            |  NULL                      |  2018-12-18 10:16:04.877

Name |   TOTALActivity_0  | TOTALActivity_1
A    |      4             |     1
B    |      1             |     1
C    |      0             |     3

SELECT
  NAME,
  SUM(CASE WHEN Activity = 0 THEN 1 ELSE 0 END) TOTALActivity_0,
  SUM(CASE WHEN Activity = 1 THEN 1 ELSE 0 END) TOTALActivity_1
 FROM Table_1
 GROUP BY NAME

SELECT
  NAME,
  SUM(CASE WHEN Activity = 0 THEN 1 ELSE 0 END) TOTALActivity_0,
  SUM(CASE WHEN Activity = 1 THEN 1 ELSE 0 END) TOTALActivity_1,
  CASE WHEN Activity = 0 THEN LogTime ELSE NULL END AS LatestActivity_0_Logtime,
  CASE WHEN Activity = 1 THEN LogTime ELSE NULL END AS LatestActivity_1_Logtime
 FROM Table_1
 GROUP BY NAME,Activity,LogTime

SELECT
  NAME,
  SUM(CASE WHEN Activity = 0 THEN 1 ELSE 0 END) TOTALActivity_0,
  SUM(CASE WHEN Activity = 1 THEN 1 ELSE 0 END) TOTALActivity_1,
  NULL AS LatestActivity_0_Logtime,
  NULL AS LatestActivity_1_Logtime
 FROM Table_1
 GROUP BY NAME
 UNION
 SELECT NULL,NULL,NULL,CASE WHEN Activity = 0 THEN LogTime ELSE NULL END AS LatestActivity_0_Logtime,
  CASE WHEN Activity = 1 THEN LogTime ELSE NULL END AS LatestActivity_1_Logtime
  FROM Table_1

Name |   TOTALActivity_0  | TOTALActivity_1  |  LatestActivity_0_Logtime  | LatestActivity_1_Logtime
A    |      4             |     1            |  NULL                      |  NULL
B    |      1             |     1            |  NULL                      |  NULL
B    |      1             |     3            |  NULL                      |  NULL
NULL |     NULL           |   NULL           |  2018-12-17 10:16:04.877   |  2018-12-15 10:16:04.877
NULL |     NULL           |   NULL           |  2018-12-16 10:16:04.877   |  2018-12-16 10:16:04.877
NULL |     NULL           |   NULL           |  2018-12-10 10:16:04.877   |  2018-12-18 10:16:04.877
NULL |     NULL           |   NULL           |  2018-12-10 10:10:04.877   |  2018-12-15 10:16:04.877
NULL |     NULL           |   NULL           |  2018-12-17 10:16:04.877   |  2018-12-16 10:16:04.877
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