Finite Group Databasebeta

C2×#19143511 #25960917

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

Aliases

direct productC2×#19143511

Splittings

FittingC22×#108×C43 ⋊ C2
SylowC43 ⋊ C2×#2957

Subgroups

subgroupG/H
centerC2×C4C2×D4×D43
commutatorC4×C43C24×C4
FrattiniC2×C4C24×D43
FittingC22×#108×C43C2
socleC22×C43C2×C4×D4
prime radicalC22×#13063347C2
cosocleC2×C4×C43C25
hypercenterC22×#108D43
hypocenterC43C2×#2957
LCSG ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ C22×#108

2642 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1264 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1033888);