Finite Group Databasebeta

D43×#1376 #25011448

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

Aliases

direct productD43×#1376

Splittings

FittingC43×#1376 ⋊ C2
SylowC43 ⋊ C2×#1376

Subgroups

subgroupG/H
centerC2×C8D4×D43
commutatorC4×C43C2×C4×C8
FrattiniC22×C8C22×D43
FittingC43×#1376C2
socleC22×C43C2×C4⋊C8
prime radicalC23×D43M16
cosocleC22×C8×C43C23
hypercenter#1376D43
hypocenterC43C2×#1376
LCSG ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C8 ◁ C22×C8 ◁ #1376

670 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, 84419);