Finite Group Databasebeta

C2×#19145224 #25966408

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

Aliases

direct productC2×#19145224

Splittings

FittingC2×C43×#541 ⋊ C2
SylowC43 ⋊ C2×#3174

Subgroups

subgroupG/H
centerC23C22×C22⋊D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC2×C43×#541C2
socleC23×C43C22×D4
prime radicalC2×#14583504C2
hypercenterC2×#541D43
hypocenterC43C2×#3174
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×#117 ◁ C2×#541

1970 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

988 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1039379);