Finite Group Databasebeta

#575×D269 #46825627

order34432
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C29

Aliases

direct product#575×D269

Splittings

Fitting#575×C269 ⋊ C2
SylowC269 ⋊ C2×#575

Subgroups

subgroupG/H
centerC4C2×D4×D269
commutator, cosocleC4×C269C25
FrattiniC4C24×D269
Fitting#575×C269C2
socleC2×C269C23×D4
hypercenter#575D269
hypocenterC269C2×#575
LCSG ▷ C4×C269 ▷ C2×C269 ▷ C269
UCSC1 ◁ C4 ◁ C22×C4 ◁ #575

1484 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 4304

Conjugacy classes & character table

2992 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34432, 19252);