C₂²×#16861166 #30651894

order	16256
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₄ · Schur multiplier (H₂) = C₂⁸×C₄

Aliases

Fitting	C₂²×C₄²×C₁₂₇ ⋊ C₂
Sylow	C₁₂₇ ⋊ C₂²×#117

1880 conjugacy classes of subgroups; only the 901 normal subgroups are shown.

normal subgroups only

This group has 1880 conjugacy classes of subgroups — too many to draw. Only its 901 normal subgroups are shown.

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

4112 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(16256, 17674);