Finite Group Databasebeta

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C22×C4×C8×D43 #25959975

order11008
isoclinismisoclinic class of D43
automorphism?
homologyAbelianization (H1) = C23×C4×C8 · Schur multiplier (H2) = C29×C4

Aliases

direct productC22×C4×C8×D43

Splittings

FittingC22×C4×C8×C43 ⋊ C2
derived, SylowC43 ⋊ C23×C4×C8

Subgroups

subgroupG/H
center, hypercenterC22×C4×C8D43
commutator, hypocenterC43C23×C4×C8
FrattiniC2×C4C24×D43
FittingC22×C4×C8×C43C2
socleC24×C43C22×C4
prime radicalC24×D43C2×C4
cosocleC2×C4×C43C25
LCSG ▷ C43
UCSC1 ◁ C22×C4×C8

4638 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

2944 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1032946);