Finite Group Databasebeta

D43×#2262 #25254721

order11008
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C25

Aliases

direct productD43×#2262

Splittings

FittingC43×#2262 ⋊ C2
SylowC43 ⋊ C2×#2262

Subgroups

subgroupG/H
centerC4D16×D43
commutator, cosocleC16×C43C24
FrattiniC16C23×D43
FittingC43×#2262C2
socleC2×C43C22×D16
hypercenter#2262D43
hypocenterC43C2×#2262
LCSG ▷ C16×C43 ▷ C8×C43 ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C4 ◁ C2×C4 ◁ C2×C8 ◁ C2×C16 ◁ #2262

470 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, 327692);