Finite Group Databasebeta

C8×#13063243 #24987161

order11008
automorphism?
homologyAbelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C22×C4

Aliases

direct productC8×#13063243

Splittings

SylowC43 ⋊ C8×#101

Subgroups

subgroupG/H
centerC2×C8(C2×D43)⋊C4
commutatorC22×C43C2×C4×C8
FrattiniC2×C42C22×D43
FittingC8×M16×C43C2
socleC22×C43C4×C22⋊C4
prime radicalC23×C43C2×C42
cosocleC2×C42×C43C23
hypercenterC8×M16D43
hypocenterC43C8×#101
LCSG ▷ C22×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C8 ◁ C2×C4×C8 ◁ C8×M16

454 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1768 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 60132);