Finite Group Databasebeta

D43×#2912 #25960259

order11008
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C29

Aliases

direct productD43×#2912

Splittings

FittingC43×#2912 ⋊ C2
SylowC43 ⋊ C2×#2912

Subgroups

subgroupG/H
centerC22C22×D4×D43
commutatorC4×C43C24×C4
FrattiniC2×C4C24×D43
FittingC43×#2912C2
socleC22×C43C23×D4
prime radicalC2×#41×D43C22
cosocleC2×C4×C43C25
hypercenter#2912D43
hypocenterC43C2×#2912
LCSG ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×#41 ◁ #2912

2766 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, 1033230);