Finite Group Databasebeta

← Prev (#25960428) Next (#25960430) →

C22×D4×C43⋊C8 #25960429

order11008
automorphism?
homologyAbelianization (H1) = C24×C8 · Schur multiplier (H2) = C210

Aliases

direct productC22×D4×C43⋊C8

Splittings

SylowC43 ⋊ C22×C8×D4

Subgroups

subgroupG/H
centerC23×C4C22×D43
commutatorC2×C43C24×C8
FrattiniC2×C4C24×D43
FittingC22×C4×D4×C43C2
socleC24×C43C22×C4
prime radicalC23×D4×C43C4
cosocleC2×C4×C43C25
hypercenterC22×C4×D4D43
hypocenterC43C22×C8×D4
LCSG ▷ C2×C43 ▷ C43
UCSC1 ◁ C23×C4 ◁ C22×C4×D4

3694 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1840 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1033400);