Finite Group Databasebeta

D23×#529 #15686655

order2944
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C28

Aliases

direct productD23×#529

Splittings

FittingC23×#529 ⋊ C2
SylowC23 ⋊ C2×#529

Subgroups

subgroupG/H
centerC2×C4C23×D23
commutator, socle, cosocleC22×C23C25
FrattiniC22C24×D23
FittingC23×#529C2
prime radical#121×D23C2
hypercenter#529D23
hypocenterC23C2×#529
LCSG ▷ C22×C23 ▷ C23
UCSC1 ◁ C2×C4 ◁ #529

1232 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 736

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 17768);