Finite Group Databasebeta

D43×#1312 #25005582

order11008
automorphism?
homologyAbelianization (H1) = C2×C4×C16 · Schur multiplier (H2) = C22×C4

Aliases

direct productD43×#1312

Splittings

FittingC43×#1312 ⋊ C2
SylowC43 ⋊ C2×#1312

Subgroups

subgroupG/H
center, FrattiniC4×C8C22×D43
commutatorC2×C43C2×C4×C16
FittingC43×#1312C2
socleC22×C43C2×C4×C8
prime radicalC22×D43C4×C8
cosocleC4×C8×C43C23
hypercenter#1312D43
hypocenterC43C2×#1312
LCSG ▷ C2×C43 ▷ C43
UCSC1 ◁ C4×C8 ◁ #1312

350 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1840 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 78553);