Finite Group Databasebeta

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C42×C4⋊Dic43 #25017676

order11008
automorphism?
homologyAbelianization (H1) = C2×C43 · Schur multiplier (H2) = C23×C43

Aliases

direct productC42×C4⋊Dic43

Splittings

SylowC43 ⋊ C42×C4⋊C4

Subgroups

subgroupG/H
centerC22×C42C2×D43
commutatorC2×C43C2×C43
FrattiniC24C23×D43
FittingC2×C43×C43C2
socle, prime radical, cosocleC24×C43C24
hypercenterC2×C43D43
hypocenterC43C42×C4⋊C4
LCSG ▷ C2×C43 ▷ C43
UCSC1 ◁ C22×C42 ◁ C2×C43

2478 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, 90647);