Finite Group Databasebeta

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C4×#14582764 #25017825

order11008
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C42

Aliases

direct productC4×#14582764

Splittings

SylowC43 ⋊ C4×#382

Subgroups

subgroupG/H
centerC23×C4C22×D43
commutatorC22×C43C22×C42
FrattiniC24C23×D43
FittingC2×C4×C4⋊C4×C43C2
socle, prime radical, cosocleC24×C43C24
hypercenterC2×C4×C4⋊C4D43
hypocenterC43C4×#382
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C23×C4 ◁ C2×C4×C4⋊C4

1742 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1792 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 90796);