C₃×C₅×D₁₇×C₆₇ #46803052

order	34170
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₅×C₆₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₃×C₅×D₁₇×C₆₇
unambiguous semidirect product	C₁₇⋊(C₂×C₃×C₅×C₆₇)

	subgroup	G/H
center, hypercenter	C₃×C₅×C₆₇	D₁₇
commutator, cosocle, hypocenter	C₁₇	C₂×C₃×C₅×C₆₇
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₁₇×C₆₇	C₂
LCS	G ▷ C₁₇
UCS	C₁ ◁ C₃×C₅×C₆₇

32 conjugacy classes of subgroups.

μ_t(G) = 17085

10050 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34170, 4);