Finite Group Databasebeta

C4×#14582853 #25093933

order11008
automorphism?
homologyAbelianization (H1) = C2×C43 · Schur multiplier (H2) = C22×C43

Aliases

direct productC4×#14582853

Splittings

FittingC42×C8×C43 ⋊ C2
SylowC43 ⋊ C4×#405

Subgroups

subgroupG/H
centerC2×C4×C8C2×D43
commutatorC2×C43C2×C43
FrattiniC22×C4C23×D43
FittingC42×C8×C43C2
socleC23×C43C23×C4
prime radicalC23×D43C22×C4
cosocleC22×C4×C43C24
hypercenterC42×C8D43
hypocenterC43C4×#405
LCSG ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C4×C8 ◁ C42×C8

1526 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

2848 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 166904);