Finite Group Databasebeta

D43×#1377 #25011454

order11008
automorphism?
homologyAbelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C24

Aliases

direct productD43×#1377

Splittings

FittingC43×#1377 ⋊ C2
SylowC43 ⋊ C2×#1377

Subgroups

subgroupG/H
centerC2×C4C22⋊C4×D43
commutatorC22×C43C2×C4×C8
FrattiniC22×C8C22×D43
FittingC43×#1377C2
socleC22×C43C2×C22⋊C8
prime radicalC23×D43C2×C8
cosocleC22×C8×C43C23
hypercenter#1377D43
hypocenterC43C2×#1377
LCSG ▷ C22×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ C22×C8 ◁ #1377

630 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, 84425);