Finite Group Databasebeta

D43×#2875 #25960003

order11008
automorphism?
homologyAbelianization (H1) = C23×C42 · Schur multiplier (H2) = C28×C4

Aliases

direct productD43×#2875

Splittings

FittingC43×#2875 ⋊ C2
SylowC43 ⋊ C2×#2875

Subgroups

subgroupG/H
center, FrattiniC2×C4C24×D43
commutatorC2×C43C23×C42
FittingC43×#2875C2
socleC22×C43C24×C4
prime radicalC2×#41×D43C22
cosocleC2×C4×C43C25
hypercenter#2875D43
hypocenterC43C2×#2875
LCSG ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ #2875

3278 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1564 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1032974);