Finite Group Databasebeta

C2×D4×C43⋊C16 #25249747

order11008
automorphism?
homologyAbelianization (H1) = C23×C16 · Schur multiplier (H2) = C26

Aliases

direct productC2×D4×C43⋊C16

Splittings

SylowC43 ⋊ C2×D4×C16

Subgroups

subgroupG/H
centerC22×C8C22×D43
commutatorC2×C43C23×C16
FrattiniC2×C8C23×D43
FittingC2×C8×D4×C43C2
socleC23×C43C22×C8
prime radicalC22×D4×C43C8
cosocleC2×C8×C43C24
hypercenterC2×C8×D4D43
hypocenterC43C2×D4×C16
LCSG ▷ C2×C43 ▷ C43
UCSC1 ◁ C22×C8 ◁ C2×C8×D4

806 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, 322718);