C₂×D₉⋊(C₂²⋊C₉) #13048129

order	1296
isoclinism	isoclinic class of D₉⋊A₄
automorphism	?
homology	Abelianization (H₁) = C₂²×C₉ · Schur multiplier (H₂) = C₂²

Aliases

direct product	C₂×D₉⋊(C₂²⋊C₉)
unambiguous semidirect product	D₉⋊(C₂×C₂²⋊C₉)
unambiguous semidirect product	(C₂×D₉)⋊(C₂²⋊C₉)
unambiguous semidirect product	(C₉⋊(C₂²⋊C₉))⋊C₂²
unambiguous semidirect product	(C₂×C₉⋊(C₂²⋊C₉))⋊C₂

C₂²×C₉ ⋊ C₂²×C₉

228 conjugacy classes of subgroups; only the 43 normal subgroups are shown.

normal subgroups only

This group has 228 conjugacy classes of subgroups — too many to draw. Only its 43 normal subgroups are shown.

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

μ_t(G) = 108

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1296, 1847);