Finite Group Databasebeta

D43×#1401 #25016802

order11008
automorphism?
homologyAbelianization (H1) = C22×C16 · Schur multiplier (H2) = C23

Aliases

direct productD43×#1401

Splittings

FittingC43×#1401 ⋊ C2
SylowC43 ⋊ C2×#1401

Subgroups

subgroupG/H
centerC16D4×D43
commutatorC4×C43C22×C16
FrattiniC2×C16C22×D43
FittingC43×#1401C2
socleC2×C43C2×C22⋊C16
prime radical#41×D43C8
cosocleC2×C16×C43C23
hypercenter#1401D43
hypocenterC43C2×#1401
LCSG ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C16 ◁ C2×C16 ◁ #1401

294 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1288 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 89773);