Finite Group Databasebeta

C4×#14583699 #25960685

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

Aliases

direct productC4×#14583699

Splittings

FittingC2×C4×M16×C43 ⋊ C2
SylowC43 ⋊ C4×#575

Subgroups

subgroupG/H
centerC42C2×D172
commutatorC4×C43C24×C4
FrattiniC2×C4C24×D43
FittingC2×C4×M16×C43C2
socleC22×C43C23×D4
prime radicalC2×#14583699C2
cosocleC2×C4×C43C25
hypercenterC2×C4×M16D43
hypocenterC43C4×#575
LCSG ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C42 ◁ C22×C42 ◁ C2×C4×M16

2842 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, 1033656);