C₅×D₁₃×D₇⋊C₉ #30655006

order	16380
automorphism	?
homology	Abelianization (H₁) = C₂²×C₅×C₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₅×D₁₃×D₇⋊C₉
unambiguous semidirect product	D₇⋊(C₅×C₉×D₁₃)
unambiguous semidirect product	(D₁₃×C₇⋊C₉)⋊(C₂×C₅)
unambiguous semidirect product	(C₁₃×D₇⋊C₉)⋊(C₂×C₅)
unambiguous semidirect product	((C₇⋊C₉)⋊D₁₃)⋊(C₂×C₅)

120 conjugacy classes of subgroups; only the 54 normal subgroups are shown.

normal subgroups only

This group has 120 conjugacy classes of subgroups — too many to draw. Only its 54 normal subgroups are shown.

Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.

μ_t(G) = 4095

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(16380, 56);