C₄×D₄×D₅₂₁ #45687889

order	33344
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁶

Aliases

C₄×D₄×D₅₂₁

Fitting	C₄×D₄×C₅₂₁ ⋊ C₂
Sylow	C₅₂₁ ⋊ C₂×C₄×D₄

426 conjugacy classes of subgroups; only the 169 normal subgroups are shown.

normal subgroups only

This group has 426 conjugacy classes of subgroups — too many to draw. Only its 169 normal subgroups are shown.

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

μ_t(G) = 8336

5240 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33344, 1006);