Finite Group Databasebeta

← (C2×#11715871)⋊C4 #20259950

Subgroups — (C2×#11715871)⋊C4 #20259950

Order 6176.

76 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#11715871C212yesmaximal
2C2×C4×D193C211yesmaximal, characteristic
3C2×#11715871—22no—
4C2×#11715871—22no—
5C2×#11715871C414yescomplemented
6C22×D193C2211yescharacteristic
7C2×Dic193C411yescharacteristic, complemented
8C4×D193—22no—
9C2×C4×C193C411yescharacteristic, complemented
10C22×C193C2×C411yescharacteristic
11C2×D193C2×C412yes—
12C2×D193D411yescharacteristic
13C2×D193D412yes—
14C2×D193Q811yescharacteristic
15#11715871—24no—
16C4×C193—21no—
17Dic193—21no—
18C2×C193C4211yescharacteristic
19C2×C193C22⋊C411yescharacteristic
20C2×C193C4⋊C411yescharacteristic
21D193C22⋊C412yes—
22D193C4⋊C412yes—
23C193#9511yescharacteristic, complemented, Sylow
24#95—1931nomaximal, Sylow
25C22×C4—1932no—
26C22×C4—1931no—
27C23—1931no—
28C2×C4—3862no—
29C2×C4—3862no—
30C2×C4—3862no—
31C2×C4—1934no—
32C2×C4—1931no—
33C2×C4#1171587111yescharacteristic, complemented
34C22—1932no—
35C22—1932no—
36C22—1931no—
37C22—1931no—
38C22C2×#1171587111yescharacteristic
39C4—21no—
40C4—3864no—
41C4—3861no—
42C2—1932no—
43C2—1932no—
44C2C4×#1171587111yescharacteristic
45C2C22⋊#1171587111yescharacteristic
46C2C4⋊#1171587111yescharacteristic
subgroupG/H
center, FrattiniC22C2×#11715871
commutatorC2×C193C42
FittingC2×C4×C193C4
socleC22×C193C2×C4
hypercenterC2×C4#11715871
hypocenterC193#95
LCSG ▷ C2×C193 ▷ C193
UCSC1 ◁ C22 ◁ C2×C4

Complements

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

NH ≅ G/Ntype
5. C2×#11715871C4semidirect
7. C2×Dic193C4semidirect
9. C2×C4×C193C4semidirect
23. C193#95semidirect
33. C2×C4#11715871semidirect