Finite Group Databasebeta

D43×#2293 #25254951

order11008
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C28×C4

Aliases

direct productD43×#2293

Splittings

FittingC43×#2293 ⋊ C2
SylowC43 ⋊ C2×#2293

Subgroups

subgroupG/H
centerC22×C4C23×D43
commutatorC22×C43C24×C4
FrattiniC23C24×D43
FittingC43×#2293C2
socle, cosocleC23×C43C25
prime radicalC22×D4×D43C22
hypercenter#2293D43
hypocenterC43C2×#2293
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ #2293

3790 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, 327922);