Finite Group Databasebeta

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C16×#10621898 #25250114

order11008
automorphism?
homologyAbelianization (H1) = C23×C16 · Schur multiplier (H2) = C25

Aliases

direct productC16×#10621898

Splittings

FittingC2×C4×C16×C43 ⋊ C2
SylowC43 ⋊ C16×#41

Subgroups

subgroupG/H
centerC4×C16C2×D43
commutatorC2×C43C23×C16
FrattiniC2×C8C23×D43
FittingC2×C4×C16×C43C2
socleC22×C43C23×C8
prime radicalC2×#10621898C8
cosocleC2×C8×C43C24
hypercenterC2×C4×C16D43
hypocenterC43C16×#41
LCSG ▷ C2×C43 ▷ C43
UCSC1 ◁ C4×C16 ◁ C2×C4×C16

602 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, 323085);