Finite Group Databasebeta

C2×#19132503 #24986958

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

Aliases

direct productC2×#19132503

Splittings

SylowC43 ⋊ C2×#1306

Subgroups

subgroupG/H
centerC23C43⋊#95
commutatorC23×C43C2×C42
FrattiniC23×C4C22×D43
FittingC2×C43×#381C2
socleC23×C43#95
prime radicalC25×C43C2×C4
cosocleC23×C4×C43C23
hypercenterC2×#381D43
hypocenterC43C2×#1306
LCSG ▷ C23×C43 ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ C24×C4 ◁ C2×#381

942 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, 59929);