C₈×#6455 #13351998

order	1792
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄×C₈ · Schur multiplier (H₂) = C₂³×C₄²

Aliases

Fitting	C₇×C₈×C₄⋊C₄ ⋊ C₂
Sylow	C₇ ⋊ C₈×#117

1174 conjugacy classes of subgroups.

μ_t(G) = 896

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1792, 167770);