Finite Group Databasebeta

C2×#19144508 #25964364

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

Aliases

direct productC2×#19144508

Splittings

FittingC22×#117×C43 ⋊ C2
SylowC43 ⋊ C2×#3091

Subgroups

subgroupG/H
centerC22×C4C2×C22⋊D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC22×#117×C43C2
socleC23×C43C22×D4
prime radicalC2×#14583410C2
hypercenterC22×#117D43
hypocenterC43C2×#3091
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ C24×C4 ◁ C22×#117

2378 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1756 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1037335);