Q₈×C₂²⋊C₄×C₂₃₃ #44448372

order	29824
nilpotency class	2
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄×C₂₃₃ · Schur multiplier (H₂) = C₂⁶

Aliases

Q₈×C₂²⋊C₄×C₂₃₃

820 conjugacy classes of subgroups; only the 392 normal subgroups are shown.

normal subgroups only

This group has 820 conjugacy classes of subgroups — too many to draw. Only its 392 normal subgroups are shown.

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

μ_t(G) = 14912

11650 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29824, 1072);