Finite Group Databasebeta

C2×#19134004 #25078874

order11008
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C25

Aliases

direct productC2×#19134004

Splittings

FittingC2×C8×D4×C43 ⋊ C2
SylowC43 ⋊ C2×#1677

Subgroups

subgroupG/H
centerC23#13063299
commutator, cosocleC42×C43C24
FrattiniC42C23×D43
FittingC2×C8×D4×C43C2
socleC23×C43#121
prime radicalC2×#14583094C2
hypercenterC2×C8×D4D43
hypocenterC43C2×#1677
LCSG ▷ C42×C43 ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×C8×D4

810 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1738 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 151845);