Q₈×C₂²⋊#10587739 #31797293

order	17536
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁶

Aliases

Fitting	C₂²×Q₈×C₁₃₇ ⋊ C₄
Sylow	C₁₃₇ ⋊ Q₈×C₂²⋊C₄

820 conjugacy classes of subgroups; only the 228 normal subgroups are shown.

normal subgroups only

This group has 820 conjugacy classes of subgroups — too many to draw. Only its 228 normal subgroups are shown.

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

μ_t(G) = 4384

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(17536, 21014);