Finite Group Databasebeta

C22⋊C4×D967 #44526071

order30944
automorphism?
homologyAbelianization (H1) = C22×C4 · Schur multiplier (H2) = C24

Aliases

direct productC22⋊C4×D967

Splittings

FittingC22⋊C4×C967 ⋊ C2
SylowC967 ⋊ C2×C22⋊C4

Subgroups

subgroupG/H
center, FrattiniC22C22×D967
commutatorC2×C967C22×C4
FittingC22⋊C4×C967C2
socle, cosocleC22×C967C23
prime radicalC23×D967C2
hypercenterC22⋊C4D967
hypocenterC967C2×C22⋊C4
LCSG ▷ C2×C967 ▷ C967
UCSC1 ◁ C22 ◁ C22⋊C4

132 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 7736

Conjugacy classes & character table

4850 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30944, 96);