Finite Group Databasebeta

D43×#2296 #25254974

order11008
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C29

Aliases

direct productD43×#2296

Splittings

FittingC43×#2296 ⋊ C2
SylowC43 ⋊ C2×#2296

Subgroups

subgroupG/H
centerC22×C4C23×D43
commutatorC22×C43C24×C4
FrattiniC23C24×D43
FittingC43×#2296C2
socle, cosocleC23×C43C25
prime radicalC24×D43C23
hypercenter#2296D43
hypocenterC43C2×#2296
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ #2296

3854 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, 327945);