Finite Group Databasebeta

C34631 #46831294

order34631
nilpotency class1
isoclinismisoclinic class of C1
automorphismAut(G) = C2×C5×C3463 (order 34630) · Inn(G) = C1 · Out(G) = C2×C5×C3463
homologyAbelianization (H1) = G · Schur multiplier (H2) = C1

Aliases

cyclicC34631

Subgroups

subgroupG/H
centerGC1
commutator, FrattiniC1G
LCSG ▷ C1
UCSC1 ◁ G
LECSG ▷ C1

2 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

34631 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34631, 1);