C₃×D₇×C₁₇×C₄₁ #44418072

order	29274
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₁₇×C₄₁ · Schur multiplier (H₂) = C₁

Aliases

C₃×D₇×C₁₇×C₄₁

	subgroup	G/H
center, hypercenter	C₃×C₁₇×C₄₁	D₇
commutator, cosocle, hypocenter	C₇	C₂×C₃×C₁₇×C₄₁
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₁₇×C₄₁	C₂
LCS	G ▷ C₇
UCS	C₁ ◁ C₃×C₁₇×C₄₁

32 conjugacy classes of subgroups.

μ_t(G) = 14637

10455 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29274, 6);