Finite Group Databasebeta

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C22×#14583195 #25964081

order11008
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C28

Aliases

direct productC22×#14583195

Splittings

SylowC43 ⋊ C22×#477

Subgroups

subgroupG/H
centerC24C2×D172
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC22×C4⋊C8×C43C2
socle, prime radicalC24×C43C2×D4
hypercenterC22×C4⋊C8D43
hypocenterC43C22×#477
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C24 ◁ C22×C42 ◁ C22×C4⋊C8

2358 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1756 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1037052);