Finite Group Databasebeta

D43×#1772 #25094601

order11008
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4

Aliases

direct productD43×#1772

Splittings

FittingC43×#1772 ⋊ C2
SylowC43 ⋊ C2×#1772

Subgroups

subgroupG/H
centerC2×C8D4×D43
commutatorC4×C43C22×C42
FrattiniC22×C4C23×D43
FittingC43×#1772C2
socleC22×C43C2×C4×D4
prime radicalC23×D43#41
cosocleC22×C4×C43C24
hypercenter#1772D43
hypocenterC43C2×#1772
LCSG ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C8 ◁ C22×C8 ◁ #1772

1102 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, 167572);