Q₈⋊C₈×D₁₂₇ #30637105

order	16256
automorphism	?
homology	Abelianization (H₁) = C₂²×C₈ · Schur multiplier (H₂) = C₂³

Aliases

Q₈⋊C₈×D₁₂₇

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

280 conjugacy classes of subgroups; only the 97 normal subgroups are shown.

normal subgroups only

This group has 280 conjugacy classes of subgroups — too many to draw. Only its 97 normal subgroups are shown.

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

1820 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(16256, 2885);