Finite Group Databasebeta

D43×#3222 #25967932

order11008
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C27×C4

Aliases

direct productD43×#3222

Splittings

FittingC43×#3222 ⋊ C2
SylowC43 ⋊ C2×#3222

Subgroups

subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3222C2
socleC22×C43C23×D4
prime radical#535×D43C2
hypercenter#3222D43
hypocenterC43C2×#3222
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3222

2214 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

598 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1040903);