Finite Group Databasebeta

← Group #10782811

Character table — Group #10782811

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size111122222222444444466888888888888121212121212121212161616161616161616161624242424243232484848
order122234444666488121212122224888881224242424444888888446812242424242424448881212248
χ1111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-111111111111111-1-11-11-1-1-1-111111-1-1-1-1-1-1-1
χ3111111111111111111111-1-11-1-1111111111111-1-1-1-1-1-1-11-11111-1-1-1-1111-1-1-1-11
χ4111111111111111111111-1-11-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-1-11111-1
χ51111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-111-1-1-1
χ61111111111111111111-1-111111-1-111111-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-111-1-1-111-1-1111
χ71111111111111111111-1-1-1-11-1-11111111-1-1-1-1-11111-1-1-11-11111-1-111-1-1-1-1-111-1
χ81111111111111111111-1-1-1-11-1-1-1-111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-11111-1-11
χ91111111111111-1-111111111-1-1-1111-1-1-1-1111-1-1-1-1-1-11-11-1111-1-1-1-111-1111-11-1-1
χ101111111111111-1-111111111-1-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11-111
χ111111111111111-1-1111111-1-1-111111-1-1-1-1111-1-11111-11-1-1-111-1-111-1-1-111-11-11-1
χ121111111111111-1-1111111-1-1-111-1-11-1-1-1-1111-1-111111-1-11-1-1-11111-1-1-1-1-11-11-11
χ131111111111111-1-11111-1-111-1-1-1111-1-1-1-1-1-1-11111111-11-1111-1-1-1-1-1-11-1-11-1-111
χ141111111111111-1-11111-1-111-1-1-1-1-11-1-1-1-1-1-1-1111111-11111-1-111-1-1-1-1111-111-1-1
χ151111111111111-1-11111-1-1-1-1-111111-1-1-1-1-1-1-111-1-1-1-1-11-1-1-111-1-111111-1-1-111-11
χ161111111111111-1-11111-1-1-1-1-111-1-11-1-1-1-1-1-1-111-1-1-1-11-1-11-1-1-11111111111-1-11-1
χ17222222-2-22222-200-222-2222-200000-20000-22-20000000020-2000000-2200000000
χ18222222-2-22222-200-222-222-2200000-20000-22-200000000-2020000002-200000000
χ19222222-2-22222-200-222-2-2-22-200000-200002-220000000020-20000002-200000000
χ20222222-2-22222-200-222-2-2-2-2200000-200002-2200000000-202000000-2200000000
χ2122222-222-2222-2222-2-222200-20000-222-2-22-2-22200000000000000000-20000000
χ2222222-222-2222-2222-2-22-2-200-20000-222-2-2-222-2-20000000000000000020000000
χ2322222-222-2222-2-2-22-2-22220020000-2-2-2222-2-2-2-20000000000000000020000000
χ2422222-222-2222-2-2-22-2-22-2-20020000-2-2-222-2222200000000000000000-20000000
χ2522222-2-2-2-2222200-2-2-2-2220002i−2i0020000-2-22002i2i−2i−2i0000000002i−2i0000000000
χ2622222-2-2-2-2222200-2-2-2-222000−2i2i0020000-2-2200−2i−2i2i2i000000000−2i2i0000000000
χ2722222-2-2-2-2222200-2-2-2-2-2-20002i−2i002000022-200−2i−2i2i2i0000000002i−2i0000000000
χ2822222-2-2-2-2222200-2-2-2-2-2-2000−2i2i002000022-2002i2i−2i−2i000000000−2i2i0000000000
χ292222-12222-1-1-1222-1-1-1-1002222222-1-1-1-1-100000000022-12-1-1-1-1-1-1-100000-1-1000
χ302222-12222-1-1-1222-1-1-1-10022222-2-2-1-1-1-1-1000000000-2-2-1-2-11111-1-10000011000
χ312222-12222-1-1-1222-1-1-1-100-2-22-2-222-1-1-1-1-1000000000-2-2121-1-1-1-1110000011000
χ322222-12222-1-1-1222-1-1-1-100-2-22-2-2-2-2-1-1-1-1-1000000000221-2111111100000-1-1000
χ332222-12222-1-1-12-2-2-1-1-1-10022-2-2-222-111110000000002-2-1-2-1-1-1111100000-11000
χ342222-12222-1-1-12-2-2-1-1-1-10022-2-2-2-2-2-11111000000000-22-12-111-1-111000001-1000
χ352222-12222-1-1-12-2-2-1-1-1-100-2-2-22222-11111000000000-221-21-1-111-1-1000001-1000
χ362222-12222-1-1-12-2-2-1-1-1-100-2-2-222-2-2-111110000000002-212111-1-1-1-100000-11000
χ374444-24-4-44-2-2-2-4002-2-22004-4000002000000000000000-2020000000000000000
χ384444-24-4-44-2-2-2-4002-2-2200-4400000200000000000000020-20000000000000000
χ394444-2-444-4-2-2-2-444-222-20000-400002-2-222000000000000000000000000000000
χ404444-2-444-4-2-2-2-4-4-4-222-2000040000222-2-2000000000000000000000000000000
χ414444-2-4-4-4-4-2-2-24002222000004i−4i00-20000000000000000000000−2i2i0000000000
χ424444-2-4-4-4-4-2-2-2400222200000−4i4i00-200000000000000000000002i−2i0000000000
χ4344-4-4404-40-44-4000400-4000000000000000000000000000000000000022−2200000
χ4444-4-4404-40-44-4000400-40000000000000000000000000000000000000−222200000
χ4544-4-440-440-44-4000-40040000000−2i22i20000000000000000000−2i22i200000000000000
χ4644-4-440-440-44-4000-400400000002i2−2i200000000000000000002i2−2i200000000000000
χ4744-4-4-20-4402-22000200-20000000−2i22i2000−2i32i300000000000000i2−i26−6000000000000
χ4844-4-4-20-4402-22000200-20000000−2i22i20002i3−2i300000000000000i2−i2−66000000000000
χ4944-4-4-20-4402-22000200-200000002i2−2i2000−2i32i300000000000000−i2i2−66000000000000
χ5044-4-4-20-4402-22000200-200000002i2−2i20002i3−2i300000000000000−i2i26−6000000000000
χ514-44-44400-44-4-400004-40000000000000000000022−2222−22000000000000000000000
χ524-44-44400-44-4-400004-400000000000000000000−2222−2222000000000000000000000
χ534-44-44-40044-4-40000-4400000000000000000000−2i22i22i2−2i2000000000000000000000
χ544-44-44-40044-4-40000-44000000000000000000002i2−2i2−2i22i2000000000000000000000
χ554-4-4440000-4-44022−2200004-40000000022−220000022−220000000000000000000000000
χ564-4-4440000-4-44022−220000-440000000022−2200000−22220000000000000000000000000
χ574-4-4440000-4-440−222200004-400000000−222200000−22220000000000000000000000000
χ584-4-4440000-4-440−22220000-4400000000−22220000022−220000000000000000000000000
χ5988-8-8-408-804-44000-400400000000000000000000000000000000000000000000
χ608-88-8-4800-8-4440000-44000000000000000000000000000000000000000000000
χ618-88-8-4-8008-44400004-4000000000000000000000000000000000000000000000
χ628-8-88-4000044-4042−4200000000000000−222200000000000000000000000000000000
χ638-8-88-4000044-40−42420000000000000022−2200000000000000000000000000000000

Here i is the imaginary unit (i² = −1).