Finite Group Databasebeta

D43×#1891 #25098244

order11008
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C27

Aliases

direct productD43×#1891

Splittings

FittingC43×#1891 ⋊ C2
SylowC43 ⋊ C2×#1891

Subgroups

subgroupG/H
centerC4#120×D43
commutatorC23×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1891C2
socleC2×C43C2×#386
prime radical#525×D43C2
cosocleC22×C4×C43C24
hypercenter#1891D43
hypocenterC43C2×#1891
LCSG ▷ C23×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C4 ◁ C22×C4 ◁ #1891

1870 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, 171215);