Finite Group Databasebeta

C4×#99×D43 #25094241

order11008
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C26×C4

Aliases

direct productC4×#99×D43

Splittings

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

Subgroups

subgroupG/H
centerC2×C4C22⋊C4×D43
commutatorC22×C43C22×C42
FrattiniC24C23×D43
FittingC4×#99×C43C2
socleC22×C43C22×C22⋊C4
prime radicalC22×D4×D43C22
cosocleC24×C43C24
hypercenterC4×#99D43
hypocenterC43C2×C4×#99
LCSG ▷ C22×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ C4×#99

2242 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1012 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 167212);