C₂×C₅⋊(#41⋊C₉) #13085217

order	1440
automorphism	?
homology	Abelianization (H₁) = C₂²×C₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×C₅⋊(#41⋊C₉)
unambiguous semidirect product	(C₂×C₅)⋊(#41⋊C₉)
unambiguous semidirect product	(C₂×#713)⋊C₉

Hall	C₂×#713 ⋊ C₉
Sylow	C₅ ⋊ C₂×#41⋊C₉

170 conjugacy classes of subgroups; only the 47 normal subgroups are shown.

normal subgroups only

This group has 170 conjugacy classes of subgroups — too many to draw. Only its 47 normal subgroups are shown.

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

μ_t(G) = 720

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1440, 1534);