Finite Group Databasebeta

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C4×#14582653 #25001743

order11008
automorphism?
homologyAbelianization (H1) = C42×C8 · Schur multiplier (H2) = C23×C42

Aliases

direct productC4×#14582653

Splittings

SylowC43 ⋊ C4×#336

Subgroups

subgroupG/H
centerC22×C42C2×D43
commutatorC2×C43C42×C8
FrattiniC23×C4C22×D43
FittingC22×C4×C8×C43C2
socle, prime radicalC24×C43C22×C4
cosocleC23×C4×C43C23
hypercenterC22×C4×C8D43
hypocenterC43C4×#336
LCSG ▷ C2×C43 ▷ C43
UCSC1 ◁ C22×C42 ◁ C22×C4×C8

1318 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

2848 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 74714);