Finite Group Databasebeta

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C4×#14583026 #25095217

order11008
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C23×C4

Aliases

direct productC4×#14583026

Splittings

SylowC43 ⋊ C4×#446

Subgroups

subgroupG/H
centerC2×C42C22×D43
commutatorC22×C43C22×C42
FrattiniC22×C4C23×D43
FittingC4×C4⋊C8×C43C2
socle, prime radicalC23×C43C23×C4
cosocleC22×C4×C43C24
hypercenterC4×C4⋊C8D43
hypocenterC43C4×#446
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C2×C42 ◁ C4×C4⋊C8

958 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, 168188);