Finite Group Databasebeta

← Prev (#24987063) Next (#24987065) →

C22⋊C8×C43⋊C8 #24987064

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

Aliases

direct productC22⋊C8×C43⋊C8

Splittings

SylowC43 ⋊ C8×C22⋊C8

Subgroups

subgroupG/H
center, FrattiniC2×C42C22×D43
commutatorC2×C43C2×C82
FittingC4×C22⋊C8×C43C2
socleC23×C43C2×C42
prime radicalC24×C43C42
cosocleC2×C42×C43C23
hypercenterC4×C22⋊C8D43
hypocenterC43C8×C22⋊C8
LCSG ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C42 ◁ C4×C22⋊C8

726 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, 60035);