Finite Group Databasebeta

C3×C2659 #22547572

order7977
nilpotency class1
isoclinismisoclinic class of C1
automorphismAut(G) = C22×C3×C443 (order 5316) · Inn(G) = C1 · Out(G) = C22×C3×C443
homologyAbelianization (H1) = G · Schur multiplier (H2) = C1

Aliases

cyclicC7977
abelianC3×C2659

Subgroups

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

4 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

7977 conjugacy classes. The character table is too large to display.

Relationships

derived subgroup ofD7977, Dic7977, D3×D2659, …
Fitting subgroup ofD3×C2659, C3×D2659, D7977, …
socle ofD3×C2659, C3×D2659, D7977, …
maximal subgroup ofD3×C2659, C3×D2659, D7977, …
maximal normal subgroup ofD3×C2659, C3×D2659, D7977, …
maximal quotient ofC2×C3×C2659, C9×C2659, C32×C2659, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(7977, 2);