Finite Group Databasebeta

C2×#19132657 #25007962

order11008
automorphism?
homologyAbelianization (H1) = C22×C4 · Schur multiplier (H2) = C22

Aliases

direct productC2×#19132657

Splittings

SylowC43 ⋊ C2×#1366

Subgroups

subgroupG/H
centerC22#14582647
commutatorC42×C43C22×C4
FrattiniC4×C8C22×D43
FittingC2×C43×#364C2
socleC22×C43#333
prime radicalC23×C43#100
cosocleC4×C8×C43C23
hypercenterC2×#364D43
hypocenterC43C2×#1366
LCSG ▷ C42×C43 ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C22×C4 ◁ C2×C4×C8 ◁ C2×#364

294 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1222 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 80933);