Finite Group Databasebeta

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C2×C22⋊(C43⋊C32) #25016788

order11008
automorphism?
homologyAbelianization (H1) = C22×C32 · Schur multiplier (H2) = C24

Aliases

direct productC2×C22⋊(C43⋊C32)

Splittings

SylowC43 ⋊ C2×C22⋊C32

Subgroups

subgroupG/H
centerC22×C16C2×D43
commutatorC2×C43C22×C32
FrattiniC2×C16C22×D43
FittingC23×C16×C43C2
socleC23×C43C2×C16
prime radicalC24×C43C16
cosocleC2×C16×C43C23
hypercenterC23×C16D43
hypocenterC43C2×C22⋊C32
LCSG ▷ C2×C43 ▷ C43
UCSC1 ◁ C22×C16 ◁ C23×C16

342 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, 89759);