Finite Group Databasebeta

C2×#19146788 #25973354

order11008
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C28

Aliases

direct productC2×#19146788

Splittings

FittingC2×C43×#463 ⋊ C2
SylowC43 ⋊ C2×#3321

Subgroups

subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC2×C43×#463C2
socleC23×C43C22×D4
hypercenterC2×#463D43
hypocenterC43C2×#3321
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#463

2178 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

856 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1046325);