Finite Group Databasebeta

C2×D8×C22⋊D43 #25971786

order11008
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C210

Aliases

direct productC2×D8×C22⋊D43

Splittings

FittingC23×D8×C43 ⋊ C2
SylowC43 ⋊ C2×D4×D8

Subgroups

subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC23×D8×C43C2
socleC23×C43C22×D4
hypercenterC23×D8D43
hypocenterC43C2×D4×D8
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ C23×D8

3710 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1246 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1044757);