Finite Group Databasebeta

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C22×C4×Dic43⋊C4 #25254776

order11008
automorphism?
homologyAbelianization (H1) = C23×C42 · Schur multiplier (H2) = C29×C4

Aliases

direct productC22×C4×Dic43⋊C4

Splittings

SylowC43 ⋊ C22×C4×C4⋊C4

Subgroups

subgroupG/H
centerC24×C4C2×D43
commutatorC2×C43C23×C42
FrattiniC23C24×D43
FittingC23×C42×C43C2
socle, prime radicalC25×C43C23
cosocleC23×C43C25
hypercenterC23×C42D43
hypocenterC43C22×C4×C4⋊C4
LCSG ▷ C2×C43 ▷ C43
UCSC1 ◁ C24×C4 ◁ C23×C42

5758 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, 327747);