Finite Group Databasebeta

C2×C592 #20294394

order6962
nilpotency class1
isoclinismisoclinic class of C1
automorphismAut(G) order 11908560
homologyAbelianization (H1) = G · Schur multiplier (H2) = C59

Aliases

abelianC2×C592

Subgroups

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

124 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

6962 conjugacy classes. The character table is too large to display.

Relationships

Fitting subgroup ofC59×Dic59, C59⋊Dic59, C2×C59×D59, …
socle ofC4×C592, C59×Dic59, C59⋊Dic59, …
maximal subgroup ofC4×C592, C59×Dic59, C59⋊Dic59, …
maximal normal subgroup ofC4×C592, C59×Dic59, C59⋊Dic59, …
maximal quotient ofC4×C592, C22×C592, C2×C3×C592, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(6962, 5);