Finite Group Databasebeta

D43×#1277 #24986051

order11008
automorphism?
homologyAbelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C25

Aliases

direct productD43×#1277

Splittings

FittingC43×#1277 ⋊ C2
SylowC43 ⋊ C2×#1277

Subgroups

subgroupG/H
centerC22×C4D4×D43
commutatorC4×C43C2×C4×C8
FrattiniC2×C42C22×D43
FittingC43×#1277C2
socleC23×C43C2×C4⋊C4
prime radicalC23×D43C4⋊C4
cosocleC2×C42×C43C23
hypercenter#1277D43
hypocenterC43C2×#1277
LCSG ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ C2×C42 ◁ #1277

830 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, 59022);