Finite Group Databasebeta

C4×D3908 #44530630

order31264
automorphism?
homologyAbelianization (H1) = C22×C4 · Schur multiplier (H2) = C23

Aliases

direct productC4×D3908

Splittings

FittingC42×C977 ⋊ C2
SylowC977 ⋊ C4×D4

Subgroups

subgroupG/H
centerC2×C4C2×D977
commutatorC2×C977C22×C4
FrattiniC22C22×D977
FittingC42×C977C2
socle, cosocleC22×C977C23
prime radicalC2×D3908C2
hypercenterC42D977
hypocenterC977C4×D4
LCSG ▷ C2×C977 ▷ C977
UCSC1 ◁ C2×C4 ◁ C42

94 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 15632

Conjugacy classes & character table

7828 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31264, 110);