Finite Group Databasebeta

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C4×#14582733 #25016774

order11008
automorphism?
homologyAbelianization (H1) = C2×C4×C16 · Schur multiplier (H2) = C2×C4

Aliases

direct productC4×#14582733

Splittings

SylowC43 ⋊ C4×M64

Subgroups

subgroupG/H
centerC4×C16C2×D43
commutatorC2×C43C2×C4×C16
FrattiniC2×C16C22×D43
FittingC2×C4×C16×C43C2
socleC22×C43C22×C16
prime radicalC23×C43C2×C16
cosocleC2×C16×C43C23
hypercenterC2×C4×C16D43
hypocenterC43C4×M64
LCSG ▷ C2×C43 ▷ C43
UCSC1 ◁ C4×C16 ◁ C2×C4×C16

250 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, 89745);