Finite Group Databasebeta

C2×#19132471 #24986560

order11008
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C24

Aliases

direct productC2×#19132471

Splittings

SylowC43 ⋊ C2×#1293

Subgroups

subgroupG/H
centerC23C43⋊#95
commutatorC2×C4×C43C2×C42
FrattiniC23×C4C22×D43
FittingC2×C43×#407C2
socleC23×C43#95
prime radicalC25×C43Q8
cosocleC23×C4×C43C23
hypercenterC2×#407D43
hypocenterC43C2×#1293
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C24×C4 ◁ C2×#407

906 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1240 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 59531);