Finite Group Databasebeta

D43×#2295 #25254965

order11008
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C27×C4

Aliases

direct productD43×#2295

Splittings

FittingC43×#2295 ⋊ C2
SylowC43 ⋊ C2×#2295

Subgroups

subgroupG/H
centerC22×C4C23×D43
commutatorC22×C43C24×C4
FrattiniC23C24×D43
FittingC43×#2295C2
socle, cosocleC23×C43C25
prime radicalC23×D43C24
hypercenter#2295D43
hypocenterC43C2×#2295
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ #2295

2750 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, 327936);