Finite Group Databasebeta

D43×#1382 #25011488

order11008
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C24

Aliases

direct productD43×#1382

Splittings

FittingC43×#1382 ⋊ C2
SylowC43 ⋊ C2×#1382

Subgroups

subgroupG/H
centerC2×C4D8×D43
commutatorC8×C43C2×C42
FrattiniC22×C8C22×D43
FittingC43×#1382C2
socleC22×C43C2×#102
prime radicalC23×D43SD16
cosocleC22×C8×C43C23
hypercenter#1382D43
hypocenterC43C2×#1382
LCSG ▷ C8×C43 ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ C22×C4 ◁ C22×C8 ◁ #1382

590 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1012 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 84459);