Finite Group Databasebeta

D43×#2276 #25254818

order11008
automorphism?
homologyAbelianization (H1) = C23×C42 · Schur multiplier (H2) = C28×C4

Aliases

direct productD43×#2276

Splittings

FittingC43×#2276 ⋊ C2
SylowC43 ⋊ C2×#2276

Subgroups

subgroupG/H
center, FrattiniC23C24×D43
commutatorC2×C43C23×C42
FittingC43×#2276C2
socle, cosocleC23×C43C25
prime radicalC23×D43C24
hypercenter#2276D43
hypocenterC43C2×#2276
LCSG ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2276

3654 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1564 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 327789);