Finite Group Databasebeta

C8×#13063332 #25062185

order11008
automorphism?
homologyAbelianization (H1) = C22×C4×C8 · Schur multiplier (H2) = C24×C4

Aliases

direct productC8×#13063332

Splittings

SylowC43 ⋊ C8×#131

Subgroups

subgroupG/H
centerC4×C8C22×D43
commutatorC2×C43C22×C4×C8
FrattiniC42C23×D43
FittingC8×#41×C43C2
socleC22×C43C22×C42
prime radicalC2×#41×C43C2×C4
cosocleC42×C43C24
hypercenterC8×#41D43
hypocenterC43C8×#131
LCSG ▷ C2×C43 ▷ C43
UCSC1 ◁ C4×C8 ◁ C8×#41

922 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, 135156);