C₂×C₃²×C₂²⋊Dic₅ #13087877

order	1440
isoclinism	isoclinic class of Dic₁₀
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃²×C₄ · Schur multiplier (H₂) = C₂⁴×C₃

Aliases

C₂×C₃²×C₂²⋊Dic₅

Hall	C₃²×C₅ ⋊ C₂×C₂²⋊C₄
Sylow	C₅ ⋊ C₂×C₃²×C₂²⋊C₄

792 conjugacy classes of subgroups; only the 390 normal subgroups are shown.

normal subgroups only

This group has 792 conjugacy classes of subgroups — too many to draw. Only its 390 normal subgroups are shown.

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

μ_t(G) = 720

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1440, 4194);