C₂²×#17989539 #34030546

order	18688
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₄ · Schur multiplier (H₂) = C₂¹⁰×C₄

Aliases

direct product	C₂²×#17989539
unambiguous semidirect product	D₇₃⋊(C₂×#390)

Fitting	C₂³×D₄×C₇₃ ⋊ C₄
Sylow	C₇₃ ⋊ C₂²×#390

9534 conjugacy classes of subgroups.

μ_t(G) = 4672

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18688, 1114130);