Finite Group Databasebeta

D8×#10621900 #25977995

order11008
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C29

Aliases

direct productD8×#10621900

Splittings

FittingD4×D8×C43 ⋊ C2
SylowC43 ⋊ D8×#41

Subgroups

subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingD4×D8×C43C2
socleC22×C43C23×D4
hypercenterD4×D8D43
hypocenterC43D8×#41
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ D4×D8

2406 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

805 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1050966);