M₁₆×D₅₆ #13325220

order	1792
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁵

Aliases

M₁₆×D₅₆

Fitting	C₇×C₈×M₁₆ ⋊ C₂
Sylow	C₇ ⋊ M₁₆×D₈

794 conjugacy classes of subgroups.

μ_t(G) = 448

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1792, 140992);