C₂²×Q₁₆×#64408 #34031413

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

Aliases

direct product	C₂²×Q₁₆×#64408
unambiguous semidirect product	D₇₃⋊(C₂×C₄×Q₁₆)

Fitting	C₂²×Q₁₆×C₇₃ ⋊ C₄
Sylow	C₇₃ ⋊ C₂²×C₄×Q₁₆

2830 conjugacy classes of subgroups.

μ_t(G) = 4672

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18688, 1114997);