Finite Group Databasebeta

C2×#19136200 #25249255

order11008
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C25

Aliases

direct productC2×#19136200

Splittings

SylowC43 ⋊ C2×#2110

Subgroups

subgroupG/H
centerC2×C8C4×Dic43
commutatorC4×C43C22×C42
FrattiniC2×C8C23×D43
FittingC2×C43×#405C2
socleC22×C43C2×#97
prime radicalC24×C43M16
cosocleC2×C8×C43C24
hypercenterC2×#405D43
hypocenterC43C2×#2110
LCSG ▷ C4×C43 ▷ C43
UCSC1 ◁ C2×C8 ◁ C2×#405

738 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, 322226);