Finite Group Databasebeta

C4×#97×D43 #25093918

order11008
automorphism?
homologyAbelianization (H1) = C2×C43 · Schur multiplier (H2) = C24×C42

Aliases

direct productC4×#97×D43

Splittings

FittingC4×#97×C43 ⋊ C2
SylowC43 ⋊ C2×C4×#97

Subgroups

subgroupG/H
centerC2×C42C22×D43
commutatorC2×C43C2×C43
FrattiniC22×C4C23×D43
FittingC4×#97×C43C2
socleC23×C43C23×C4
prime radicalC23×D43C22×C4
cosocleC22×C4×C43C24
hypercenterC4×#97D43
hypocenterC43C2×C4×#97
LCSG ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C42 ◁ C4×#97

1790 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, 166889);