C₂²×#63630 #11857121

order	1152
isoclinism	isoclinic class of #634
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄² · Schur multiplier (H₂) = C₂⁶×C₃

Aliases

2040 conjugacy classes of subgroups; only the 1145 normal subgroups are shown.

normal subgroups only

This group has 2040 conjugacy classes of subgroups — too many to draw. Only its 1145 normal subgroups are shown.

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

μ_t(G) = 1152

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

maximal subgroup of	C₂²×C₃⋊D₃×#97
maximal normal subgroup of	C₂²×C₃⋊D₃×#97

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1152, 91132);