C₇×D₁₇×D₇⋊C₉ #44472525

order	29988
automorphism	?
homology	Abelianization (H₁) = C₂²×C₇×C₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₇×D₁₇×D₇⋊C₉
unambiguous semidirect product	D₇⋊(C₇×C₉×D₁₇)
unambiguous semidirect product	(D₇×D₁₇)⋊(C₇×C₉)
unambiguous semidirect product	(D₁₇×C₇⋊C₉)⋊(C₂×C₇)
unambiguous semidirect product	(C₁₇×D₇⋊C₉)⋊(C₂×C₇)
unambiguous semidirect product	(C₁₇⋊(D₇⋊C₉))⋊(C₂×C₇)

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

1470 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29988, 166);