Finite Group Databasebeta

#99×C43⋊C8 #24987140

order11008
automorphism?
homologyAbelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C23×C4

Aliases

direct product#99×C43⋊C8

Splittings

SylowC43 ⋊ C8×#99

Subgroups

subgroupG/H
centerC2×C4C22⋊C4×D43
commutatorC22×C43C2×C4×C8
FrattiniC23×C4C22×D43
FittingC4×#99×C43C2
socleC22×C43C4×C22⋊C4
prime radicalC22×D4×C43C2×C4
cosocleC23×C4×C43C23
hypercenterC4×#99D43
hypocenterC43C8×#99
LCSG ▷ C22×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ C4×#99

614 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, 60111);