C₂²×#15688919 #26369099

order	12032
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁶

Aliases

Fitting	C₂²×#101×C₄₇ ⋊ C₂
Sylow	C₄₇ ⋊ C₂²×#355

1382 conjugacy classes of subgroups; only the 291 normal subgroups are shown.

normal subgroups only

This group has 1382 conjugacy classes of subgroups — too many to draw. Only its 291 normal subgroups are shown.

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

1064 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 322389);