Finite Group Databasebeta

← C2×Dic4019 #44565385

Subgroups — C2×Dic4019 #44565385

Order 32152.

16 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4019C211yesmaximal, characteristic
2Dic4019C212yesmaximal, direct product factor
3C2×C4019C412yescomplemented
4C2×C4019C2211yescharacteristic
5C4019C2×C411yescharacteristic, complemented, Sylow
6C2×C4—40191nomaximal, Sylow
7C22D401911yescharacteristic
8C4—40192no—
9C2Dic401912yesdirect product factor
10C2C2×D401911yescharacteristic
subgroupG/H
center, hypercenterC22D4019
commutator, hypocenterC4019C2×C4
FrattiniC2C2×D4019
Fitting, socle, prime radicalC22×C4019C2
cosocleC2×C4019C22
LCSG ▷ C4019
UCSC1 ◁ C22

Complements

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

NH ≅ G/Ntype
2. Dic4019C2direct (N × H)
3. C2×C4019C4semidirect
5. C4019C2×C4semidirect
9. C2Dic4019direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C40192
Dic40192
C2×C44019