Finite Group Databasebeta

C8×(C2×D43)⋊C8 #24987063

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

Aliases

direct productC8×(C2×D43)⋊C8

Splittings

FittingC2×C82×C43 ⋊ C2
SylowC43 ⋊ C8×C22⋊C8

Subgroups

subgroupG/H
centerC2×C4×C8C2×D43
commutatorC2×C43C2×C82
FrattiniC2×C42C22×D43
FittingC2×C82×C43C2
socleC23×C43C2×C42
prime radicalC23×D43C42
cosocleC2×C42×C43C23
hypercenterC2×C82D43
hypocenterC43C8×C22⋊C8
LCSG ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C4×C8 ◁ C2×C82

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, 60034);