Q₈×C₂²⋊(C₅⋊D₅) #13107343

order	1600
automorphism	?
homology	Abelianization (H₁) = C₂⁴ · Schur multiplier (H₂) = C₂⁵×C₅

Aliases

Fitting	C₂²×C₅²×Q₈ ⋊ C₂
Sylow	C₅² ⋊ D₄×Q₈

1120 conjugacy classes of subgroups; only the 315 normal subgroups are shown.

normal subgroups only

This group has 1120 conjugacy classes of subgroups — too many to draw. Only its 315 normal subgroups are shown.

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

μ_t(G) = 800

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1600, 9695);