C₂×C₇×C₁₉×D₇⋊C₉ #45691607

order	33516
automorphism	?
homology	Abelianization (H₁) = C₂²×C₇×C₉×C₁₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×C₇×C₁₉×D₇⋊C₉
unambiguous semidirect product	D₇⋊(C₂×C₇×C₉×C₁₉)
unambiguous semidirect product	(C₂×D₇)⋊(C₇×C₉×C₁₉)
unambiguous semidirect product	(C₇⋊C₉)⋊(C₂²×C₇×C₁₉)
unambiguous semidirect product	(C₂×C₇⋊C₉)⋊(C₂×C₇×C₁₉)

128 conjugacy classes of subgroups; only the 76 normal subgroups are shown.

normal subgroups only

This group has 128 conjugacy classes of subgroups — too many to draw. Only its 76 normal subgroups are shown.

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

μ_t(G) = 4788

5586 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33516, 405);