C₂×D₇⋊C₉×C₁₃₇ #46828574

order	34524
automorphism	?
homology	Abelianization (H₁) = C₂²×C₉×C₁₃₇ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×D₇⋊C₉×C₁₃₇
unambiguous semidirect product	D₇⋊(C₂×C₉×C₁₃₇)
unambiguous semidirect product	(C₂×D₇)⋊(C₉×C₁₃₇)
unambiguous semidirect product	(C₇⋊C₉)⋊(C₂²×C₁₃₇)
unambiguous semidirect product	(C₂×C₇⋊C₉)⋊(C₂×C₁₃₇)
unambiguous semidirect product	(C₂×D₇×C₁₃₇)⋊C₉

60 conjugacy classes of subgroups.

μ_t(G) = 17262

5754 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34524, 17);