Finite Group Databasebeta

C2×#19132731 #25016782

order11008
automorphism?
homologyAbelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C22

Aliases

direct productC2×#19132731

Splittings

SylowC43 ⋊ C2×#1398

Subgroups

subgroupG/H
centerC2×C8C4×Dic43
commutatorC4×C43C2×C4×C8
FrattiniC2×C16C22×D43
FittingC2×C43×#346C2
socleC22×C43#346
prime radicalC23×C43M32
cosocleC2×C16×C43C23
hypercenterC2×#346D43
hypocenterC43C2×#1398
LCSG ▷ C4×C43 ▷ C43
UCSC1 ◁ C2×C8 ◁ C2×#346

222 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1768 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 89753);