Finite Group Databasebeta

← C3×C11×D487 #44565225

Subgroups — C3×C11×D487 #44565225

Order 32142.

16 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×C11×C487C211yesmaximal, characteristic, complemented, Hall
2C11×D487C311yesmaximal, characteristic, direct product factor, Hall
3C11×C487C2×C311yescharacteristic, complemented, Hall
4C3×D487C1111yesmaximal, characteristic, direct product factor, Hall
5C3×C487C2×C1111yescharacteristic, complemented, Hall
6D487C3×C1111yescharacteristic, direct product factor, Hall
7C487C2×C3×C1111yescharacteristic, complemented, Sylow
8C2×C3×C11—4871nomaximal, Hall
9C3×C11D48711yescharacteristic, direct product factor, Hall
10C2×C11—4871noHall
11C11C3×D48711yescharacteristic, direct product factor, Sylow
12C2×C3—4871noHall
13C3C11×D48711yescharacteristic, direct product factor, Sylow
14C2—4871noSylow
subgroupG/H
center, hypercenterC3×C11D487
commutator, cosocle, hypocenterC487C2×C3×C11
FrattiniC1G
Fitting, socleC3×C11×C487C2
LCSG ▷ C487
UCSC1 ◁ C3×C11

Complements

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

NH ≅ G/Ntype
1. C3×C11×C487C2semidirect
2. C11×D487C3direct (N × H)
3. C11×C487C2×C3semidirect
4. C3×D487C11direct (N × H)
5. C3×C487C2×C11semidirect
6. D487C3×C11direct (N × H)
7. C487C2×C3×C11semidirect
9. C3×C11D487direct (N × H)
11. C11C3×D487direct (N × H)
13. C3C11×D487direct (N × H)

Maximal subgroups

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

subgroupindex
C3×C11×C4872
C11×D4873
C3×D48711
C2×C3×C11487