Finite Group Databasebeta

D43×#1300 #24986787

order11008
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4

Aliases

direct productD43×#1300

Splittings

FittingC43×#1300 ⋊ C2
SylowC43 ⋊ C2×#1300

Subgroups

subgroupG/H
centerC2×C4C22⋊C4×D43
commutatorC2×C4×C43C2×C42
FrattiniC2×C42C22×D43
FittingC43×#1300C2
socleC22×C43C2×#95
prime radicalC23×D43C22⋊C4
cosocleC2×C42×C43C23
hypercenter#1300D43
hypocenterC43C2×#1300
LCSG ▷ C2×C4×C43 ▷ C22×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #1300

786 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

874 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 59758);