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C132×A5 #23778616

order10140
isoclinismisoclinic class of A5
automorphism?
homologyAbelianization (H1) = C132 · Schur multiplier (H2) = C2×C13

Aliases

direct productC132×A5

Subgroups

subgroupG/H
center, Fitting, hypercenterC132A5
commutator, hypocenterA5C132
FrattiniC1G
LCSG ▷ A5
UCSC1 ◁ C132

144 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

845 conjugacy classes — view the full character table.

Relationships

derived subgroup ofA5×#92788, A5×#92789
socle ofC13×C13⋊C3×A5, A5×#92788, A5×#92789
maximal subgroup ofC3×C132×A5, C13×C13⋊C3×A5, A5×#92788, …
maximal normal subgroup ofC3×C132×A5, C13×C13⋊C3×A5, A5×#92788, …
maximal quotient ofC3×C132×A5

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(10140, 274);