Finite Group Databasebeta

D43×#2132 #25249423

order11008
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C26

Aliases

direct productD43×#2132

Splittings

FittingC43×#2132 ⋊ C2
SylowC43 ⋊ C2×#2132

Subgroups

subgroupG/H
centerC4#99×D43
commutatorC2×C4×C43C23×C4
FrattiniC2×Q8C23×D43
FittingC43×#2132C2
socleC2×C43C22×#99
prime radical#532×D43C2
cosocleC2×Q8×C43C24
hypercenter#2132D43
hypocenterC43C2×#2132
LCSG ▷ C2×C4×C43 ▷ C22×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C4 ◁ C2×C4 ◁ C2×#41 ◁ #2132

1306 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

598 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 322394);