C₄²×C₈×D₇₃ #33083302

order	18688
automorphism	?
homology	Abelianization (H₁) = C₂×C₄²×C₈ · Schur multiplier (H₂) = C₂³×C₄³

Aliases

C₄²×C₈×D₇₃

Fitting	C₄²×C₈×C₇₃ ⋊ C₂
derived, Sylow	C₇₃ ⋊ C₂×C₄²×C₈

2046 conjugacy classes of subgroups; only the 1227 normal subgroups are shown.

normal subgroups only

This group has 2046 conjugacy classes of subgroups — too many to draw. Only its 1227 normal subgroups are shown.

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

μ_t(G) = 9344

4864 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18688, 166886);