Finite Group Databasebeta

C4×#14583664 #25960009

order11008
automorphism?
homologyAbelianization (H1) = C23×C42 · Schur multiplier (H2) = C28×C4

Aliases

direct productC4×#14583664

Splittings

FittingC4×#131×C43 ⋊ C2
SylowC43 ⋊ C4×#568

Subgroups

subgroupG/H
centerC42C23×D43
commutatorC2×C43C23×C42
FrattiniC2×C4C24×D43
FittingC4×#131×C43C2
socleC22×C43C24×C4
prime radicalC2×#41×D43C22
cosocleC2×C4×C43C25
hypercenterC4×#131D43
hypocenterC43C4×#568
LCSG ▷ C2×C43 ▷ C43
UCSC1 ◁ C42 ◁ C4×#131

3250 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1816 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1032980);