C₄×#17989700 #34034543

order	18688
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄×C₈ · Schur multiplier (H₂) = C₂³×C₄²

Aliases

direct product	C₄×#17989700
unambiguous semidirect product	#64408⋊#431

Fitting	C₂×C₄²×C₇₃ ⋊ C₈
Sylow	C₇₃ ⋊ C₄×#431

1318 conjugacy classes of subgroups.

μ_t(G) = 2336

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18688, 1118127);