Finite Group Databasebeta

C8×#13063247 #24987361

order11008
automorphism?
homologyAbelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C23×C4

Aliases

direct productC8×#13063247

Splittings

FittingC2×C82×C43 ⋊ C2
SylowC43 ⋊ C8×#102

Subgroups

subgroupG/H
centerC22×C8D172
commutatorC4×C43C2×C4×C8
FrattiniC2×C42C22×D43
FittingC2×C82×C43C2
socleC23×C43C4×D4
prime radicalC22×D172C2×C4
cosocleC2×C42×C43C23
hypercenterC2×C82D43
hypocenterC43C8×#102
LCSG ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22×C8 ◁ C2×C4×C8 ◁ C2×C82

606 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

2800 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 60332);