C₇₉×#14673 #34126362

order	20224
nilpotency class	2
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄×C₇₉ · Schur multiplier (H₂) = C₂⁴×C₄²

Aliases

2734 conjugacy classes of subgroups; only the 462 normal subgroups are shown.

normal subgroups only

This group has 2734 conjugacy classes of subgroups — too many to draw. Only its 462 normal subgroups are shown.

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

μ_t(G) = 5056

4108 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(20224, 7661);