C₁₁×C₁₃×D₇×C₁₇ #46801346

order	34034
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₁×C₁₃×C₁₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₁×C₁₃×D₇×C₁₇
unambiguous semidirect product	C₇⋊(C₂×C₁₁×C₁₃×C₁₇)

	subgroup	G/H
center, hypercenter	C₁₁×C₁₃×C₁₇	D₇
commutator, cosocle, hypocenter	C₇	C₂×C₁₁×C₁₃×C₁₇
Frattini	C₁	G
Fitting, socle	C₇×C₁₁×C₁₃×C₁₇	C₂
LCS	G ▷ C₇
UCS	C₁ ◁ C₁₁×C₁₃×C₁₇

32 conjugacy classes of subgroups.

μ_t(G) = 17017

12155 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34034, 9);