C₂²×#16861123 #30647182

order	16256
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁷

Aliases

Fitting	C₂²×C₂²⋊C₄×C₁₂₇ ⋊ C₂
Sylow	C₁₂₇ ⋊ C₂²×#99

1112 conjugacy classes of subgroups; only the 269 normal subgroups are shown.

normal subgroups only

This group has 1112 conjugacy classes of subgroups — too many to draw. Only its 269 normal subgroups are shown.

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

2564 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(16256, 12962);