Finite Group Databasebeta

C8×#13063239 #24987139

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

Aliases

direct productC8×#13063239

Splittings

FittingC8×C22⋊C4×C43 ⋊ C2
SylowC43 ⋊ C8×#99

Subgroups

subgroupG/H
centerC2×C8(C2×D43)⋊C4
commutatorC22×C43C2×C4×C8
FrattiniC23×C4C22×D43
FittingC8×C22⋊C4×C43C2
socleC22×C43C4×C22⋊C4
prime radicalC22×C22⋊D43C2×C4
cosocleC23×C4×C43C23
hypercenterC8×C22⋊C4D43
hypocenterC43C8×#99
LCSG ▷ C22×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C8 ◁ C23×C8 ◁ C8×C22⋊C4

614 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, 60110);