Finite Group Databasebeta

C2×#19133790 #25072505

order11008
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C26

Aliases

direct productC2×#19133790

Splittings

FittingC2×C43×Q8⋊C8 ⋊ C2
SylowC43 ⋊ C2×#1641

Subgroups

subgroupG/H
centerC23#13063295
commutator, cosocleC42×C43C24
FrattiniC42C23×D43
FittingC2×C43×Q8⋊C8C2
socleC23×C43#120
prime radicalC2×#14583571C2
hypercenterC2×Q8⋊C8D43
hypocenterC43C2×#1641
LCSG ▷ C42×C43 ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×Q8⋊C8

1290 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1228 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 145476);