Finite Group Databasebeta

D43×#2978 #25961357

order11008
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C28

Aliases

direct productD43×#2978

Splittings

FittingC43×#2978 ⋊ C2
SylowC43 ⋊ C2×#2978

Subgroups

subgroupG/H
center, FrattiniC2×C4C24×D43
commutator, socleC22×C43C24×C4
FittingC43×#2978C2
prime radical#525×D43C2
cosocleC2×C4×C43C25
hypercenter#2978D43
hypocenterC43C2×#2978
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ #2978

2250 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

874 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1034328);