Finite Group Databasebeta

C2×#19145200 #25966373

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

Aliases

direct productC2×#19145200

Splittings

FittingC2×C43×#491 ⋊ C2
SylowC43 ⋊ C2×#3172

Subgroups

subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC2×C43×#491C2
socleC23×C43C22×D4
prime radicalC2×#13063300C22
hypercenterC2×#491D43
hypocenterC43C2×#3172
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#491

1986 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

736 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1039344);