Finite Group Databasebeta

D43×#1384 #25011504

order11008
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C23×C4

Aliases

direct productD43×#1384

Splittings

FittingC43×#1384 ⋊ C2
SylowC43 ⋊ C2×#1384

Subgroups

subgroupG/H
centerC4#106×D43
commutatorC8×C43C2×C42
FrattiniC22×C8C22×D43
FittingC43×#1384C2
socleC2×C43C2×#340
prime radicalC23×D43D8
cosocleC22×C8×C43C23
hypercenter#1384D43
hypocenterC43C2×#1384
LCSG ▷ C8×C43 ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C4 ◁ C22×C4 ◁ C22×C8 ◁ #1384

586 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

736 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 84475);