Finite Group Databasebeta

C2×#19136890 #25254707

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

Aliases

direct productC2×#19136890

Splittings

FittingC2×C43×M64 ⋊ C2
SylowC43 ⋊ C2×#2258

Subgroups

subgroupG/H
centerC2×C16C22×D43
commutatorC2×C43C23×C16
FrattiniC16C23×D43
FittingC2×C43×M64C2
socleC22×C43C22×C16
prime radicalC2×#10621898C8
cosocleC16×C43C24
hypercenterC2×M64D43
hypocenterC43C2×#2258
LCSG ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C16 ◁ C2×M64

470 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1840 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 327678);