Finite Group Databasebeta

← SD16×D191 #20259334

Subgroups — SD16×D191 #20259334

Order 6112.

68 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1Q8×D191C211yesmaximal, characteristic, complemented
2D4×D191C211yesmaximal, characteristic
3#15690276C211yesmaximal, characteristic, complemented
4#15690275C211yesmaximal, characteristic, complemented
5#15690274C211yesmaximal, characteristic, complemented
6C8×D191C211yesmaximal, characteristic, complemented
7SD16×C191C211yesmaximal, characteristic, complemented
8C22×D191—21no—
9Dic382—21no—
10Dic382C2211yescharacteristic, complemented
11D764C2211yescharacteristic
12C22⋊D191—21no—
13C4×D191—21no—
14C4×D191C2211yescharacteristic
15C191⋊C8C2211yescharacteristic, complemented
16Q8×C191C2211yescharacteristic, complemented
17D4×C191C2211yescharacteristic
18C8×C191C2211yescharacteristic, complemented
19C22×C191—21no—
20C2×D191—21no—
21C2×D191—42no—
22C2×D191D411yescharacteristic
23C4×C191—21no—
24C4×C191C2311yescharacteristic
25Dic191—21no—
26Dic191D411yescharacteristic
27C2×C191—41no—
28C2×C191C2×D411yescharacteristic
29D191—41no—
30D191SD1612yesdirect product factor
31C191C2×SD1611yescharacteristic, complemented, Sylow
32C2×SD16—1911nomaximal, Sylow
33C2×Q8—1911no—
34C2×D4—1911no—
35SD16—1911no—
36SD16—1911no—
37SD16—1911no—
38SD16D19111yescharacteristic, direct product factor
39C2×C8—1911no—
40C23—3821no—
41Q8—3821no—
42Q8—1911no—
43Q8C2×D19111yescharacteristic, complemented
44D4—3821no—
45D4—1911no—
46D4C2×D19111yescharacteristic
47C2×C4—3821no—
48C2×C4—1911no—
49C8—1911no—
50C8C2×D19111yescharacteristic, complemented
51C22—21no—
52C22—3821no—
53C22—1911no—
54C22—7642no—
55C4—21no—
56C4—3821no—
57C4—1911no—
58C4C22×D19111yescharacteristic
59C2—41no—
60C2—1912no—
61C2—7641no—
62C2D4×D19111yescharacteristic
subgroupG/H
centerC2D4×D191
commutatorC4×C191C23
FrattiniC4C22×D191
FittingSD16×C191C2
socleC2×C191C2×D4
hypercenterSD16D191
hypocenterC191C2×SD16
LCSG ▷ C4×C191 ▷ C2×C191 ▷ C191
UCSC1 ◁ C2 ◁ C4 ◁ SD16

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. Q8×D191C2semidirect
3. #15690276C2semidirect
4. #15690275C2semidirect
5. #15690274C2semidirect
6. C8×D191C2semidirect
7. SD16×C191C2semidirect
10. Dic382C22semidirect
15. C191⋊C8C22semidirect
16. Q8×C191C22semidirect
18. C8×C191C22semidirect
30. D191SD16direct (N × H)
31. C191C2×SD16semidirect
38. SD16D191direct (N × H)
43. Q8C2×D191semidirect
50. C8C2×D191semidirect