C₂²×C₇×C₁₇×C₅²⋊C₃ #49088037

order	35700
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₇×C₁₇ · Schur multiplier (H₂) = C₂×C₅

Aliases

C₂²×C₇×C₁₇×C₅²⋊C₃

	subgroup	G/H
center, hypercenter	C₂²×C₇×C₁₇	C₅²⋊C₃
commutator, cosocle, hypocenter	C₅²	C₂²×C₃×C₇×C₁₇
Frattini	C₁	G
Fitting, socle	C₂²×C₅²×C₇×C₁₇	C₃
LCS	G ▷ C₅²
UCS	C₁ ◁ C₂²×C₇×C₁₇

120 conjugacy classes of subgroups.

μ_t(G) = 7140

5236 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(35700, 511);