C₈×Q₈×D₁₂₇ #30647649

order	16256
automorphism	?
homology	Abelianization (H₁) = C₂³×C₈ · Schur multiplier (H₂) = C₂⁵

Aliases

C₈×Q₈×D₁₂₇

Fitting	C₈×Q₈×C₁₂₇ ⋊ C₂
Sylow	C₁₂₇ ⋊ C₂×C₈×Q₈

440 conjugacy classes of subgroups; only the 241 normal subgroups are shown.

normal subgroups only

This group has 440 conjugacy classes of subgroups — too many to draw. Only its 241 normal subgroups are shown.

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

2600 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(16256, 13429);