Finite Group Databasebeta

C2×C4×#13063235 #25093920

order11008
automorphism?
homologyAbelianization (H1) = C2×C43 · Schur multiplier (H2) = C24×C42

Aliases

direct productC2×C4×#13063235

Splittings

SylowC43 ⋊ C2×C4×#97

Subgroups

subgroupG/H
centerC22×C42C2×D43
commutatorC2×C43C2×C43
FrattiniC22×C4C23×D43
FittingC22×C4×C8×C43C2
socle, prime radicalC24×C43C22×C4
cosocleC22×C4×C43C24
hypercenterC22×C4×C8D43
hypocenterC43C2×C4×#97
LCSG ▷ C2×C43 ▷ C43
UCSC1 ◁ C22×C42 ◁ C22×C4×C8

1790 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

2848 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 166891);