C₂²×C₂²⋊(C₂₇₁⋊C₈) #46844796

order	34688
automorphism	?
homology	Abelianization (H₁) = C₂³×C₈ · Schur multiplier (H₂) = C₂⁷

Aliases

C₂₇₁ ⋊ C₂²×C₂²⋊C₈

1072 conjugacy classes of subgroups; only the 469 normal subgroups are shown.

normal subgroups only

This group has 1072 conjugacy classes of subgroups — too many to draw. Only its 469 normal subgroups are shown.

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

μ_t(G) = 17344

8720 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34688, 12942);