Finite Group Databasebeta

D43×#2352 #25255916

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

Aliases

direct productD43×#2352

Splittings

FittingC43×#2352 ⋊ C2
SylowC43 ⋊ C2×#2352

Subgroups

subgroupG/H
center, FrattiniC23C24×D43
commutatorC22×C43C24×C4
FittingC43×#2352C2
socle, cosocleC23×C43C25
prime radicalC22×D4×D43C22
hypercenter#2352D43
hypocenterC43C2×#2352
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2352

3894 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1150 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 328887);