Finite Group Databasebeta

C22⋊C4×D977 #44530616

order31264
automorphism?
homologyAbelianization (H1) = C22×C4 · Schur multiplier (H2) = C24

Aliases

direct productC22⋊C4×D977

Splittings

FittingC22⋊C4×C977 ⋊ C2
SylowC977 ⋊ C2×C22⋊C4

Subgroups

subgroupG/H
center, FrattiniC22C22×D977
commutatorC2×C977C22×C4
FittingC22⋊C4×C977C2
socle, cosocleC22×C977C23
prime radicalC23×D977C2
hypercenterC22⋊C4D977
hypocenterC977C2×C22⋊C4
LCSG ▷ C2×C977 ▷ C977
UCSC1 ◁ C22 ◁ C22⋊C4

132 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 7816

Conjugacy classes & character table

4900 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31264, 96);