Finite Group Databasebeta

D43×#2258 #25254704

order11008
automorphism?
homologyAbelianization (H1) = C23×C16 · Schur multiplier (H2) = C25

Aliases

direct productD43×#2258

Splittings

FittingC43×#2258 ⋊ C2
SylowC43 ⋊ C2×#2258

Subgroups

subgroupG/H
centerC32C22×D43
commutator, socleC2×C43C23×C16
FrattiniC16C23×D43
FittingC43×#2258C2
prime radical#41×D43C8
cosocleC16×C43C24
hypercenter#2258D43
hypocenterC43C2×#2258
LCSG ▷ C2×C43 ▷ C43
UCSC1 ◁ C32 ◁ #2258

470 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1840 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 327675);