C₂²×C₁₇×C₁₆₉⋊C₃ #46828162

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

Aliases

C₂²×C₁₇×C₁₆₉⋊C₃

	subgroup	G/H
center, hypercenter	C₂²×C₁₇	C₁₆₉⋊C₃
commutator, cosocle, hypocenter	C₁₆₉	C₂²×C₃×C₁₇
Frattini	C₁₃	C₂²×C₁₇×C₁₃⋊C₃
Fitting	C₂²×C₁₇×C₁₆₉	C₃
socle	C₂²×C₁₃×C₁₇	C₁₃⋊C₃
LCS	G ▷ C₁₆₉
UCS	C₁ ◁ C₂²×C₁₇

60 conjugacy classes of subgroups.

μ_t(G) = 11492

4012 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34476, 43);