Finite Group Databasebeta

← Group #10772151

Character table — Group #10772151

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122222222444444466888888888888888888121212121216161616161616161616242424242424242424324848
order1222344446664441212121244222448888121212121224242424244444666812242424242444488881248
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-111111-1-1-1-111111-1111-11-1-1-1-111111-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-1111-1-111-1-11-1-1-1-1111111-1-1-1-1111-1-11-1-1-1-111-1-111-1
χ4111111111111111111111-1-1-1-11-1-11111-1-11111111111-1-1-1-111-1-1111-1-1-1-1-1-111-1-11
χ51111111111111111111-1-1111111111111111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-1-1
χ61111111111111111111-1-111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111-11-1-1-1-1-1-1-1-1-11111-111
χ71111111111111111111-1-1-1-1-1-1111-1-111-1-11-1-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-11111-1-1111-11
χ81111111111111111111-1-1-1-1-1-11-1-11111-1-111111-1-1-1-1-1-1-1-1-111-1-111-1111111-1-1-11-1
χ9111111111111-1-1111111111-1-1-111-1-1-1-1-1-11-1-1-1-1111-1-1-111-11-11111-1-111-111-1-1-1-11
χ10111111111111-1-1111111111-1-1-1-1-111-1-1-1-111111111-1-1111-1-1-1-1-1-1-1-1-111-1-1-11111-1
χ11111111111111-1-11111111-1-111-11111-1-11111111111-1-1-1-1-11-1-111-1-1-11-1-111111-1-1-1
χ12111111111111-1-11111111-1-111-1-1-1-1-1-1-1111-1-1-1-1111-1-11-1-111-1-1-111-11-1-11-1-1-1-1111
χ13111111111111-1-111111-1-111-1-1-111-1-1-1-1-1-11-1-1-1-1-1-1-111-111-11-1111111-1-11-1-111-11-1
χ14111111111111-1-111111-1-111-1-1-1-1-111-1-1-1-111111-1-1-111111-1-1-1-1-1-1-111-1-1111-1-11-11
χ15111111111111-1-111111-1-1-1-111-11111-1-11111111-1-1-111-1-1-11-1-111-1-11-111-1-1-1-1-1-111
χ16111111111111-1-111111-1-1-1-111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111-1-111-1-1-1111-111-111111-1-1
χ17222222-22-222222-22-22-2220000-200002200-200002-2-2-2-200000-20000200000000000
χ18222222-22-222222-22-22-2-2-20000-200002200-20000-2222200000-20000-200000000000
χ19222222-22-2222-2-2-22-22-222000020000-2-200-200002-2-2220000020000-200000000000
χ20222222-22-2222-2-2-22-22-2-2-2000020000-2-200-20000-222-2-20000020000200000000000
χ2122222-22-2222200-2-22-2222002-20000000-2-2-20000-22-20000020000000-20020000000
χ2222222-22-2222200-2-22-222200-22000000022-20000-22-200000-20000000200-20000000
χ2322222-22-2222200-2-22-22-2-2002-20000000-2-2-200002-220000020000000200-20000000
χ2422222-22-2222200-2-22-22-2-200-22000000022-200002-2200000-20000000-20020000000
χ2522222-2-2-2-2222002-2-2-2-2222-20000000000020000-2-220002-20000000002-200000000
χ2622222-2-2-2-2222002-2-2-2-222-220000000000020000-2-22000-22000000000-2200000000
χ2722222-2-2-2-2222002-2-2-2-2-2-22-2000000000002000022-20002-2000000000-2200000000
χ2822222-2-2-2-2222002-2-2-2-2-2-2-22000000000002000022-2000-220000000002-200000000
χ292222-12222-1-1-1222-1-1-1-100222222222-1-1-1-1-1-1-1-1-1000002-1-1-12-1-1-1-1-1000000000-100
χ302222-12222-1-1-1222-1-1-1-10022222-2-2-2-2-1-1-1-1-1111100000-2-1-1-1-2-11111000000000100
χ312222-12222-1-1-1222-1-1-1-100-2-2-2-2222-2-2-1-111-11111000002111-2-1-1-111000000000-100
χ322222-12222-1-1-1222-1-1-1-100-2-2-2-22-2-222-1-111-1-1-1-1-100000-21112-111-1-1000000000100
χ332222-12222-1-1-1-2-22-1-1-1-10022-2-2-222-2-21111-1111100000-2-1-1121-1-1-1-1000000000100
χ342222-12222-1-1-1-2-22-1-1-1-10022-2-2-2-2-2221111-1-1-1-1-1000002-1-11-211111000000000-100
χ352222-12222-1-1-1-2-22-1-1-1-100-2-222-2222211-1-1-1-1-1-1-100000-211-1-21-1-111000000000100
χ362222-12222-1-1-1-2-22-1-1-1-100-2-222-2-2-2-2-211-1-1-1111100000211-12111-1-1000000000-100
χ374444-24-44-4-2-2-244-4-22-22000000-40000-2-20020000000000000020000000000000000
χ384444-24-44-4-2-2-2-4-4-4-22-22000000400002200200000000000000-20000000000000000
χ394444-2-44-44-2-2-200-42-22-200004-40000000222000000000000-2000000000000000000
χ404444-2-44-44-2-2-200-42-22-20000-440000000-2-220000000000002000000000000000000
χ414444-2-4-4-4-4-2-2-20042222004-400000000000-20000000000-220000000000000000000
χ424444-2-4-4-4-4-2-2-2004222200-4400000000000-200000000002-20000000000000000000
χ4344-4-4440-40-44-44-4040-40000000000004-40000000000000000000000000000000000
χ4444-4-4440-40-44-4-44040-4000000000000-440000000000000000000000000000000000
χ4544-4-44-4040-44-4000-4040000000000000000000000004i−4i0000000000000000000000
χ4644-4-44-4040-44-4000-404000000000000000000000000−4i4i0000000000000000000000
χ4744-4-4-240-402-224-40-202000000000000-2200066−6−600000000000006−6000000000000
χ4844-4-4-240-402-224-40-202000000000000-22000−6−6660000000000000−66000000000000
χ4944-4-4-240-402-22-440-2020000000000002-200066−6−60000000000000−66000000000000
χ5044-4-4-240-402-22-440-2020000000000002-2000−6−66600000000000006−6000000000000
χ514-44-4400004-4-400000004i−4i00000002i−2i000002i−2i2i−2i00000000000000000000002-2000
χ524-44-4400004-4-400000004i−4i0000000−2i2i00000−2i2i−2i2i0000000000000000000000-22000
χ534-44-4400004-4-40000000−4i4i00000002i−2i000002i−2i2i−2i0000000000000000000000-22000
χ544-44-4400004-4-40000000−4i4i0000000−2i2i00000−2i2i−2i2i00000000000000000000002-2000
χ554-4-444040-4-4-44000040-40000000−2i22i20000000000000000000000−2i22i200000000000000
χ564-4-444040-4-4-44000040-400000002i2−2i200000000000000000000002i2−2i200000000000000
χ574-4-4440-404-4-440000-404000000000000000000000000000000000000000022−2200000
χ584-4-4440-404-4-440000-4040000000000000000000000000000000000000000−222200000
χ594-4-44-2040-422-20000-2020000000−2i22i2000023−230i6−i6−i6i600000000000i2−i200000000000000
χ604-4-44-2040-422-20000-2020000000−2i22i20000−23230−i6i6i6−i600000000000i2−i200000000000000
χ614-4-44-2040-422-20000-20200000002i2−2i2000023−230−i6i6i6−i600000000000−i2i200000000000000
χ624-4-44-2040-422-20000-20200000002i2−2i20000−23230i6−i6−i6i600000000000−i2i200000000000000
χ6388-8-8-4-80804-4400040-4000000000000000000000000000000000000000000000000
χ648-88-8-40000-44400000000000000004i−4i00000−2i2i−2i2i000000000000000000000000000
χ658-88-8-40000-4440000000000000000−4i4i000002i−2i2i−2i000000000000000000000000000
χ668-8-88-40-80844-4000040-400000000000000000000000000000000000000000000000

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