Finite Group Databasebeta

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C4⋊C4×Dic43⋊C4 #25018034

order11008
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C25×C4

Aliases

direct productC4⋊C4×Dic43⋊C4

Splittings

SylowC43 ⋊ C4⋊C42

Subgroups

subgroupG/H
center, FrattiniC24C23×D43
commutatorC22×C43C22×C42
FittingC2×C4×C4⋊C4×C43C2
socle, prime radical, cosocleC24×C43C24
hypercenterC2×C4×C4⋊C4D43
hypocenterC43C4⋊C42
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C24 ◁ C2×C4×C4⋊C4

1838 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1780 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 91005);