Finite Group Databasebeta

C2×#19143308 #25960472

order11008
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C29

Aliases

direct productC2×#19143308

Splittings

FittingC22×C4×C8×C43 ⋊ C2
SylowC43 ⋊ C2×#2931

Subgroups

subgroupG/H
centerC22×C8C22×D43
commutatorC22×C43C24×C4
FrattiniC2×C4C24×D43
FittingC22×C4×C8×C43C2
socleC23×C43C23×C4
prime radicalC2×#14583449C2
cosocleC2×C4×C43C25
hypercenterC22×C4×C8D43
hypocenterC43C2×#2931
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22×C8 ◁ C22×C4×C8

2894 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

2800 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1033443);