Finite Group Databasebeta

← C2×Dic3919 #44535552

Subgroups — C2×Dic3919 #44535552

Order 31352.

16 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3919C211yesmaximal, characteristic
2Dic3919C212yesmaximal, direct product factor
3C2×C3919C412yescomplemented
4C2×C3919C2211yescharacteristic
5C3919C2×C411yescharacteristic, complemented, Sylow
6C2×C4—39191nomaximal, Sylow
7C22D391911yescharacteristic
8C4—39192no—
9C2Dic391912yesdirect product factor
10C2C2×D391911yescharacteristic
subgroupG/H
center, hypercenterC22D3919
commutator, hypocenterC3919C2×C4
FrattiniC2C2×D3919
Fitting, socle, prime radicalC22×C3919C2
cosocleC2×C3919C22
LCSG ▷ C3919
UCSC1 ◁ C22

Complements

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

NH ≅ G/Ntype
2. Dic3919C2direct (N × H)
3. C2×C3919C4semidirect
5. C3919C2×C4semidirect
9. C2Dic3919direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C22×C39192
Dic39192
C2×C43919