Finite Group Databasebeta

D43×#2178 #25249993

order11008
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25

Aliases

direct productD43×#2178

Splittings

FittingC43×#2178 ⋊ C2
SylowC43 ⋊ C2×#2178

Subgroups

subgroupG/H
centerC8D8×D43
commutatorC8×C43C23×C4
FrattiniC2×C8C23×D43
FittingC43×#2178C2
socleC2×C43C2×C4×D8
prime radical#508×D43C2
cosocleC2×C8×C43C24
hypercenter#2178D43
hypocenterC43C2×#2178
LCSG ▷ C8×C43 ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C8 ◁ C2×C8 ◁ C4×C8 ◁ #2178

662 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, 322964);