Finite Group Databasebeta

D43×#1370 #25008163

order11008
automorphism?
homologyAbelianization (H1) = C22×C16 · Schur multiplier (H2) = C23

Aliases

direct productD43×#1370

Splittings

FittingC43×#1370 ⋊ C2
SylowC43 ⋊ C2×#1370

Subgroups

subgroupG/H
centerC2×C8D4×D43
commutatorC4×C43C22×C16
FrattiniC4×C8C22×D43
FittingC43×#1370C2
socleC22×C43C2×C4⋊C8
prime radicalC22×D43C4⋊C8
cosocleC4×C8×C43C23
hypercenter#1370D43
hypocenterC43C2×#1370
LCSG ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C8 ◁ C4×C8 ◁ #1370

286 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, 81134);