C₄²×C₈×D₈₃ #35401722

order	21248
automorphism	?
homology	Abelianization (H₁) = C₂×C₄²×C₈ · Schur multiplier (H₂) = C₂³×C₄³

Aliases

C₄²×C₈×D₈₃

Fitting	C₄²×C₈×C₈₃ ⋊ C₂
derived, Sylow	C₈₃ ⋊ 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) = 10624

5504 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(21248, 166886);