Finite Group Databasebeta

← Prev (#25111944) Next (#25111946) →

#100×C22⋊D43 #25111945

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

Aliases

direct product#100×C22⋊D43

Splittings

FittingC22×#100×C43 ⋊ C2
SylowC43 ⋊ D4×#100

Subgroups

subgroupG/H
centerC22C2×C22⋊C4×D43
commutatorC23×C43C23×C4
FrattiniC22×C4C23×D43
FittingC22×#100×C43C2
socleC22×C43C22×C22⋊C4
prime radicalC2×D4×C22⋊D43C2
cosocleC22×C4×C43C24
hypercenterC22×#100D43
hypocenterC43D4×#100
LCSG ▷ C23×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C23×C4 ◁ C22×#100

1862 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

979 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 184916);