C₂²×C₃×C₅²×C₁₃⋊C₃ #26043866

order	11700
isoclinism	isoclinic class of C₁₃⋊C₃
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃²×C₅² · Schur multiplier (H₂) = C₂×C₃×C₅

Aliases

C₂²×C₃×C₅²×C₁₃⋊C₃

	subgroup	G/H
center, hypercenter	C₂²×C₃×C₅²	C₁₃⋊C₃
commutator, cosocle, hypocenter	C₁₃	C₂²×C₃²×C₅²
Frattini	C₁	G
Fitting, socle	C₂²×C₃×C₅²×C₁₃	C₃
LCS	G ▷ C₁₃
UCS	C₁ ◁ C₂²×C₃×C₅²

480 conjugacy classes of subgroups.

2100 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11700, 713);