The character table of a subgroup 2⁷: G₂ (2) of Sp₈ (2)

Key Points

• The aim is to calculate the ordinary character table for the finite group 2^7:G_2(2).
• Computed character table using Fischer-Clifford matrices technique.
• Analyzed subgroup structure within the affine group 2^7:Sp_6(2).
• Successfully derived the character table for 2^7:G_2(2).
• Enhanced understanding of the group's representation in relation to Sp_8(2).