C₂×D₇⋊C₉×C₁₄₉ #49176298

order	37548
automorphism	?
homology	Abelianization (H₁) = C₂²×C₉×C₁₄₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×D₇⋊C₉×C₁₄₉
unambiguous semidirect product	D₇⋊(C₂×C₉×C₁₄₉)
unambiguous semidirect product	(C₂×D₇)⋊(C₉×C₁₄₉)
unambiguous semidirect product	(C₇⋊C₉)⋊(C₂²×C₁₄₉)
unambiguous semidirect product	(C₂×C₇⋊C₉)⋊(C₂×C₁₄₉)
unambiguous semidirect product	(C₂×D₇×C₁₄₉)⋊C₉

60 conjugacy classes of subgroups.

μ_t(G) = 18774

6258 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(37548, 17);