C₂×C₄×C₅×C₃⋊Dic₃ #13088105

order	1440
isoclinism	isoclinic class of C₃⋊D₃
automorphism	?
homology	Abelianization (H₁) = C₂×C₄²×C₅ · Schur multiplier (H₂) = C₂²×C₃×C₄

Aliases

C₂×C₄×C₅×C₃⋊Dic₃

derived, Sylow	C₃² ⋊ C₂×C₄²×C₅
Hall	C₃²×C₅ ⋊ C₂×C₄²

648 conjugacy classes of subgroups; only the 378 normal subgroups are shown.

normal subgroups only

This group has 648 conjugacy classes of subgroups — too many to draw. Only its 378 normal subgroups are shown.

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

μ_t(G) = 1440

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1440, 4422);