Finite Group Databasebeta

← SD16×D193 #20259911

Subgroups — SD16×D193 #20259911

Order 6176.

68 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1Q8×D193C211yesmaximal, characteristic, complemented
2D4×D193C211yesmaximal, characteristic
3#15690544C211yesmaximal, characteristic, complemented
4#15690543C211yesmaximal, characteristic, complemented
5#15690542C211yesmaximal, characteristic, complemented
6C8×D193C211yesmaximal, characteristic, complemented
7SD16×C193C211yesmaximal, characteristic, complemented
8C22×D193—21no—
9Dic386—21no—
10Dic386C2211yescharacteristic, complemented
11D772C2211yescharacteristic
12C22⋊D193—21no—
13C4×D193—21no—
14C4×D193C2211yescharacteristic
15#13095393C2211yescharacteristic, complemented
16Q8×C193C2211yescharacteristic, complemented
17D4×C193C2211yescharacteristic
18C8×C193C2211yescharacteristic, complemented
19C22×C193—21no—
20C2×D193—21no—
21C2×D193—42no—
22C2×D193D411yescharacteristic
23C4×C193—21no—
24C4×C193C2311yescharacteristic
25Dic193—21no—
26Dic193D411yescharacteristic
27C2×C193—41no—
28C2×C193C2×D411yescharacteristic
29D193—41no—
30D193SD1612yesdirect product factor
31C193C2×SD1611yescharacteristic, complemented, Sylow
32C2×SD16—1931nomaximal, Sylow
33C2×Q8—1931no—
34C2×D4—1931no—
35SD16—1931no—
36SD16—1931no—
37SD16—1931no—
38SD16D19311yescharacteristic, direct product factor
39C2×C8—1931no—
40C23—3861no—
41Q8—3861no—
42Q8—1931no—
43Q8C2×D19311yescharacteristic, complemented
44D4—3861no—
45D4—1931no—
46D4C2×D19311yescharacteristic
47C2×C4—3861no—
48C2×C4—1931no—
49C8—1931no—
50C8C2×D19311yescharacteristic, complemented
51C22—21no—
52C22—7722no—
53C22—3861no—
54C22—1931no—
55C4—21no—
56C4—3861no—
57C4—1931no—
58C4C22×D19311yescharacteristic
59C2—41no—
60C2—7721no—
61C2—1932no—
62C2D4×D19311yescharacteristic
subgroupG/H
centerC2D4×D193
commutatorC4×C193C23
FrattiniC4C22×D193
FittingSD16×C193C2
socleC2×C193C2×D4
hypercenterSD16D193
hypocenterC193C2×SD16
LCSG ▷ C4×C193 ▷ C2×C193 ▷ C193
UCSC1 ◁ C2 ◁ C4 ◁ SD16

Complements

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

NH ≅ G/Ntype
1. Q8×D193C2semidirect
3. #15690544C2semidirect
4. #15690543C2semidirect
5. #15690542C2semidirect
6. C8×D193C2semidirect
7. SD16×C193C2semidirect
10. Dic386C22semidirect
15. #13095393C22semidirect
16. Q8×C193C22semidirect
18. C8×C193C22semidirect
30. D193SD16direct (N × H)
31. C193C2×SD16semidirect
38. SD16D193direct (N × H)
43. Q8C2×D193semidirect
50. C8C2×D193semidirect