Finite Group Databasebeta

C4×#14583090 #25102588

order11008
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C26

Aliases

direct productC4×#14583090

Splittings

FittingC4×#99×C43 ⋊ C2
SylowC43 ⋊ C4×#458

Subgroups

subgroupG/H
centerC2×C4#13063295
commutatorC23×C43C23×C4
FrattiniC24C23×D43
FittingC4×#99×C43C2
socleC22×C43C2×#120
prime radicalC2×#13063370C22
cosocleC24×C43C24
hypercenterC4×#99D43
hypocenterC43C4×#458
LCSG ▷ C23×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ C4×#99

1538 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

988 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 175559);