C₁₆×#638 #11797429

order	1152
isoclinism	isoclinic class of #634
automorphism	?
homology	Abelianization (H₁) = C₂²×C₁₆ · Schur multiplier (H₂) = C₂³×C₃

Aliases

Fitting	C₂²×C₃²×C₁₆ ⋊ C₂
Sylow	C₃² ⋊ D₄×C₁₆

522 conjugacy classes of subgroups; only the 173 normal subgroups are shown.

normal subgroups only

This group has 522 conjugacy classes of subgroups — too many to draw. Only its 173 normal subgroups are shown.

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

μ_t(G) = 576

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1152, 31440);