C₂²×SD₁₆×#64408 #34031412

order	18688
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₄ · Schur multiplier (H₂) = C₂⁹

Aliases

direct product	C₂²×SD₁₆×#64408
unambiguous semidirect product	D₇₃⋊(C₂×C₄×SD₁₆)

Fitting	C₂²×SD₁₆×C₇₃ ⋊ C₄
Sylow	C₇₃ ⋊ C₂²×C₄×SD₁₆

3262 conjugacy classes of subgroups.

μ_t(G) = 2336

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18688, 1114996);