D₈×C₂²⋊D₁₁₃ #28402245

order	14464
automorphism	?
homology	Abelianization (H₁) = C₂⁴ · Schur multiplier (H₂) = C₂⁶

Aliases

D₈×C₂²⋊D₁₁₃

Fitting	C₂²×D₈×C₁₁₃ ⋊ C₂
Sylow	C₁₁₃ ⋊ D₄×D₈

620 conjugacy classes of subgroups; only the 141 normal subgroups are shown.

normal subgroups only

This group has 620 conjugacy classes of subgroups — too many to draw. Only its 141 normal subgroups are shown.

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

μ_t(G) = 3616

1603 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14464, 16181);