C₂²×#17984167 #31797762

order	17536
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₄ · Schur multiplier (H₂) = C₂⁸×C₄

Aliases

direct product	C₂²×#17984167
unambiguous semidirect product	D₁₃₇⋊(C₂×#117)

Fitting	C₂³×C₄×C₁₃₇ ⋊ C₄
Sylow	C₁₃₇ ⋊ C₂²×#117

1880 conjugacy classes of subgroups; only the 810 normal subgroups are shown.

normal subgroups only

This group has 1880 conjugacy classes of subgroups — too many to draw. Only its 810 normal subgroups are shown.

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

μ_t(G) = 4384

1168 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(17536, 21483);