Finite Group Databasebeta

C2×#19143182 #25960255

order11008
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C29

Aliases

direct productC2×#19143182

Splittings

FittingC2×C43×#428 ⋊ C2
SylowC43 ⋊ C2×#2911

Subgroups

subgroupG/H
centerC23C2×D4×D43
commutatorC4×C43C24×C4
FrattiniC2×C4C24×D43
FittingC2×C43×#428C2
socleC23×C43C22×D4
prime radicalC24×D43D4
cosocleC2×C4×C43C25
hypercenterC2×#428D43
hypocenterC43C2×#2911
LCSG ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#428

2878 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1012 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1033226);