D₇×C₁₇×D₇⋊C₉ #44472541

order	29988
automorphism	?
homology	Abelianization (H₁) = C₂²×C₉×C₁₇ · Schur multiplier (H₂) = C₂

Aliases

direct product	D₇×C₁₇×D₇⋊C₉
unambiguous semidirect product	D₇⋊(C₉×D₇×C₁₇)
unambiguous semidirect product	(C₇×D₇⋊C₉)⋊(C₂×C₁₇)
unambiguous semidirect product	(D₇×C₇⋊C₉)⋊(C₂×C₁₇)
unambiguous semidirect product	((C₇⋊C₉)⋊D₇)⋊(C₂×C₁₇)

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

normal subgroups only

This group has 128 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) = 2142

1785 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29988, 182);