Finite Group Databasebeta

C4×#14583010 #25095082

order11008
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C25×C4

Aliases

direct productC4×#14583010

Splittings

FittingC4×#106×C43 ⋊ C2
SylowC43 ⋊ C4×#442

Subgroups

subgroupG/H
centerC22×C4D4×D43
commutatorC4×C43C22×C42
FrattiniC22×C4C23×D43
FittingC4×#106×C43C2
socleC23×C43C22×D4
prime radicalC22×D344C22
cosocleC22×C4×C43C24
hypercenterC4×#106D43
hypocenterC43C4×#442
LCSG ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ C2×C42 ◁ C4×#106

1326 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1264 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 168053);