C₂²×#11763736 #17978432

order	4352
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁶

Aliases

direct product	C₂²×#11763736
unambiguous semidirect product	D₁₇⋊(C₂×#367)

Fitting	C₂²×C₁₆×C₁₇ ⋊ C₄
Sylow	C₁₇ ⋊ C₂²×#367

782 conjugacy classes of subgroups; only the 320 normal subgroups are shown.

normal subgroups only

This group has 782 conjugacy classes of subgroups — too many to draw. Only its 320 normal subgroups are shown.

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

μ_t(G) = 1088

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4352, 1113676);