Finite Group Databasebeta

← Prev (#24987061) Next (#24987063) →

C8×C22⋊(C43⋊C8) #24987062

order11008
automorphism?
homologyAbelianization (H1) = C2×C82 · Schur multiplier (H2) = C23×C8

Aliases

direct productC8×C22⋊(C43⋊C8)

Splittings

SylowC43 ⋊ C8×C22⋊C8

Subgroups

subgroupG/H
centerC2×C4×C8C2×D43
commutatorC2×C43C2×C82
FrattiniC2×C42C22×D43
FittingC22×C4×C8×C43C2
socleC23×C43C2×C42
prime radicalC24×C43C42
cosocleC2×C42×C43C23
hypercenterC22×C4×C8D43
hypocenterC43C8×C22⋊C8
LCSG ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C4×C8 ◁ C22×C4×C8

726 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, 60033);