Finite Group Databasebeta

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C2×D4×C22⋊Dic43 #25255771

order11008
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C211

Aliases

direct productC2×D4×C22⋊Dic43

Splittings

SylowC43 ⋊ C2×D4×C22⋊C4

Subgroups

subgroupG/H
centerC24C23×D43
commutatorC22×C43C24×C4
FrattiniC23C24×D43
Fitting, prime radicalC24×D4×C43C2
socleC24×C43C24
cosocleC23×C43C25
hypercenterC24×D4D43
hypocenterC43C2×D4×C22⋊C4
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C24 ◁ C24×D4

8774 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1780 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 328742);