C₂×D₄×#14523266 #45656302

order	32576
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁶

Aliases

direct product	C₂×D₄×#14523266
unambiguous semidirect product	D₅₀₉⋊(C₄×D₄)

Fitting	C₂×D₄×C₅₀₉ ⋊ C₄
Sylow	C₅₀₉ ⋊ C₂×C₄×D₄

426 conjugacy classes of subgroups; only the 156 normal subgroups are shown.

normal subgroups only

This group has 426 conjugacy classes of subgroups — too many to draw. Only its 156 normal subgroups are shown.

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

μ_t(G) = 4072

1310 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32576, 1613);