C₂²×C₃×#1142 #13061142

order	1344
isoclinism	isoclinic class of #1141
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₃ · Schur multiplier (H₂) = C₂⁵

Aliases

C₂²×C₃×#1142

Hall	C₃×C₇ ⋊ C₂²×SD₁₆
Sylow	C₇ ⋊ C₂²×C₃×SD₁₆

596 conjugacy classes of subgroups; only the 254 normal subgroups are shown.

normal subgroups only

This group has 596 conjugacy classes of subgroups — too many to draw. Only its 254 normal subgroups are shown.

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

μ_t(G) = 672

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1344, 10431);