C₂²×C₁₃×C₁₇×C₁₃⋊C₃ #46828378

order	34476
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₁₃×C₁₇ · Schur multiplier (H₂) = C₂

Aliases

C₂²×C₁₃×C₁₇×C₁₃⋊C₃

	subgroup	G/H
center, hypercenter	C₂²×C₁₃×C₁₇	C₁₃⋊C₃
commutator, cosocle, hypocenter	C₁₃	C₂²×C₃×C₁₃×C₁₇
Frattini	C₁	G
Fitting, socle	C₂²×C₁₃²×C₁₇	C₃
LCS	G ▷ C₁₃
UCS	C₁ ◁ C₂²×C₁₃×C₁₇

120 conjugacy classes of subgroups.

μ_t(G) = 2652

6188 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34476, 259);