Finite Group Databasebeta

#430×D269 #46819489

order34432
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25

Aliases

direct product#430×D269

Splittings

Fitting#430×C269 ⋊ C2
SylowC269 ⋊ C2×#430

Subgroups

subgroupG/H
centerC4C2×D4×D269
commutatorC4×C269C23×C4
FrattiniC2×C4C23×D269
Fitting#430×C269C2
socleC2×C269C22×C4⋊C4
prime radicalC23×D269Q8
cosocleC2×C4×C269C24
hypercenter#430D269
hypocenterC269C2×#430
LCSG ▷ C4×C269 ▷ C2×C269 ▷ C269
UCSC1 ◁ C4 ◁ C22×C4 ◁ #430

460 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, 13114);