C₂×SD₃₂×#64408 #34030253

order	18688
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁵

Aliases

direct product	C₂×SD₃₂×#64408
unambiguous semidirect product	D₇₃⋊(C₄×SD₃₂)

Fitting	C₂×SD₃₂×C₇₃ ⋊ C₄
Sylow	C₇₃ ⋊ C₂×C₄×SD₃₂

742 conjugacy classes of subgroups.

μ_t(G) = 2336

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18688, 1113837);