Finite Group Databasebeta

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M16×C22⋊Dic43 #25094228

order11008
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C25×C4

Aliases

direct productM16×C22⋊Dic43

Splittings

SylowC43 ⋊ C22⋊C4×M16

Subgroups

subgroupG/H
center, FrattiniC22×C4C23×D43
commutatorC22×C43C22×C42
FittingC23×M16×C43C2
socleC23×C43C23×C4
prime radicalC25×C43C2×C4
cosocleC22×C4×C43C24
hypercenterC23×M16D43
hypocenterC43C22⋊C4×M16
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ C23×M16

1774 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, 167199);