Finite Group Databasebeta

D43×#2347 #25255854

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

Aliases

direct productD43×#2347

Splittings

FittingC43×#2347 ⋊ C2
SylowC43 ⋊ C2×#2347

Subgroups

subgroupG/H
center, FrattiniC23C24×D43
commutatorC22×C43C24×C4
FittingC43×#2347C2
socle, cosocleC23×C43C25
prime radicalC24×D43C23
hypercenter#2347D43
hypocenterC43C2×#2347
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2347

2790 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, 328825);