Finite Group Databasebeta

C2×#19133680 #25072481

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

Aliases

direct productC2×#19133680

Splittings

FittingC2×C43×D4⋊C8 ⋊ C2
SylowC43 ⋊ C2×#1624

Subgroups

subgroupG/H
centerC23#13063295
commutator, cosocleC42×C43C24
FrattiniC42C23×D43
FittingC2×C43×D4⋊C8C2
socleC23×C43#120
hypercenterC2×D4⋊C8D43
hypocenterC43C2×#1624
LCSG ▷ C42×C43 ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×D4⋊C8

1190 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, 145452);