D₅×C₁₉×D₇⋊C₉ #37560942

order	23940
automorphism	?
homology	Abelianization (H₁) = C₂²×C₉×C₁₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	D₅×C₁₉×D₇⋊C₉
unambiguous semidirect product	D₇⋊(C₉×D₅×C₁₉)
unambiguous semidirect product	(D₅×D₇)⋊(C₉×C₁₉)
unambiguous semidirect product	(C₅×D₇⋊C₉)⋊(C₂×C₁₉)
unambiguous semidirect product	(D₅×C₇⋊C₉)⋊(C₂×C₁₉)
unambiguous semidirect product	(C₅⋊(D₇⋊C₉))⋊(C₂×C₁₉)

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) = 5985

1596 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23940, 74);