Finite Group Databasebeta

D43×#3025 #25963316

order11008
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C210

Aliases

direct productD43×#3025

Splittings

FittingC43×#3025 ⋊ C2
SylowC43 ⋊ C2×#3025

Subgroups

subgroupG/H
centerC4#120×D43
commutator, cosocleC23×C43C25
FrattiniC23C24×D43
FittingC43×#3025C2
socleC2×C43C22×#120
hypercenter#3025D43
hypocenterC43C2×#3025
LCSG ▷ C23×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C4 ◁ C22×C4 ◁ #3025

5086 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

736 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1036287);