Finite Group Databasebeta

← Group #10773237

Character table — Group #10773237

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111222222224444444446688888888888888812121212121212161616161616161616161624242424242432484848
order12223444466648888121212124422444412121212122424242424488884668812122424242424444412488
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-11-1-1-111-1-1111111111111-11-11-1-1-111-1-1-111-1-1-1-1-11-1
χ311111111111111111111111-11-1-1-11-1-111111111111111-1-11-11-1-1-1-1111-1-11-1-1-1-1-11
χ411111111111111111111111-1-1-111-1-1-1-1-11111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1
χ5111111111111111111111-1-1111111111111111-1-1-1-1-1-1-111111111111-1-1-1-1-1-11-1-1-1
χ6111111111111111111111-1-11-11-1-1-111-1-111111-1-1-1-1-1-1-1-11-11-1-1-111-1-11-1-1111-11-11
χ7111111111111111111111-1-1-11-1-1-11-1-11111111-1-1-1-1-1-1-1-1-11-11-1-1-1-111-111-111-111-1
χ8111111111111111111111-1-1-1-1-111-1-1-1-1-111111-1-1-1-1-1-1-11-1-1-1-111-1-1-1-11111-1-11-111
χ91111111111111-1-1-1-111111111111111111-1-1-1-1111-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1
χ101111111111111-1-1-1-11111111-11-1-1-111-1-11-1-1-1-1111-1-1-1-111-1-11-1-1-1-111-111-1-1-111-11
χ111111111111111-1-1-1-1111111-11-1-1-11-1-1111-1-1-1-1111-1-1-1-11-111-1-1-111-1-11-1-11-1-1111-1
χ121111111111111-1-1-1-1111111-1-1-111-1-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-111111111-1-1-1-111-1-111
χ131111111111111-1-1-1-11111-1-111111111111-1-1-1-1-1-1-11111-111-1-111-1-1-1-1-1-1-1-1-1-1-1111
χ141111111111111-1-1-1-11111-1-11-11-1-1-111-1-11-1-1-1-1-1-1-1111111-1-11-1-1-1-1111-1-11111-11-1
χ151111111111111-1-1-1-11111-1-1-11-1-1-11-1-1111-1-1-1-1-1-1-111111-111-1-1-111-1-1-111-1111-1-11
χ161111111111111-1-1-1-11111-1-1-1-1-111-1-1-1-1-11-1-1-1-1-1-1-11111-1-1-1111111111111-1-1-11-1-1
χ17222222-2-22222-20000-22-222220-2000-2-200-20000-22-20000020000000000-220000000
χ18222222-2-22222-20000-22-2222-2020002200-20000-22-200000-200000000002-20000000
χ19222222-2-22222-20000-22-22-2-220-2000-2-200-200002-2200000200000000002-20000000
χ20222222-2-22222-20000-22-22-2-2-2020002200-200002-2200000-20000000000-220000000
χ2122222-222-2222-200002-22-22202000-200-2-2-200002-2-2000000200000000-2002000000
χ2222222-222-2222-200002-22-2220-200020022-200002-2-2000000-200000000200-2000000
χ2322222-222-2222-200002-22-2-2-202000-200-2-2-20000-222000000200000000200-2000000
χ2422222-222-2222-200002-22-2-2-20-200020022-20000-222000000-200000000-2002000000
χ2522222-2-2-2-222220000-2-2-2-2220002-20000020000-2-220000000002-2000000002-20000
χ2622222-2-2-2-222220000-2-2-2-222000-220000020000-2-22000000000-2200000000-220000
χ2722222-2-2-2-222220000-2-2-2-2-2-20002-2000002000022-20000000002-200000000-220000
χ2822222-2-2-2-222220000-2-2-2-2-2-2000-22000002000022-2000000000-22000000002-20000
χ292222-12222-1-1-122222-1-1-1-100222222-1-1-1-1-1-1-1-1-100000002-1-122-1-1-1-1-1-1000000-1000
χ302222-12222-1-1-122222-1-1-1-1002-22-2-2-2-1-111-1-1-1-1-10000000-2-112-211-1-1110000001000
χ312222-12222-1-1-122222-1-1-1-100-22-2-2-2211-1-1-1-1-1-1-10000000-21-1-221111-1-10000001000
χ322222-12222-1-1-122222-1-1-1-100-2-2-222-21111-1-1-1-1-10000000211-2-2-1-11111000000-1000
χ332222-12222-1-1-12-2-2-2-2-1-1-1-100222222-1-1-1-1-111110000000-2-1-1-2-2-1-111110000001000
χ342222-12222-1-1-12-2-2-2-2-1-1-1-1002-22-2-2-2-1-111-1111100000002-11-221111-1-1000000-1000
χ352222-12222-1-1-12-2-2-2-2-1-1-1-100-22-2-2-2211-1-1-11111000000021-12-211-1-111000000-1000
χ362222-12222-1-1-12-2-2-2-2-1-1-1-100-2-2-222-21111-111110000000-21122-1-1-1-1-1-10000001000
χ374444-24-4-44-2-2-2-400002-22-20040-400022002000000000000-20000000000000000000
χ384444-24-4-44-2-2-2-400002-22-200-404000-2-200200000000000020000000000000000000
χ394444-2-444-4-2-2-2-40000-22-220004000-4002220000000000000-2000000000000000000
χ404444-2-444-4-2-2-2-40000-22-22000-4000400-2-2200000000000002000000000000000000
χ414444-2-4-4-4-4-2-2-2400002222000004-400000-20000000000000000-2200000000000000
χ424444-2-4-4-4-4-2-2-240000222200000-4400000-200000000000000002-200000000000000
χ4344-4-4404-404-4-402222−22−22-404000000000000002222−22−220000000000000000000000000000
χ4444-4-4404-404-4-40−22−222222-40400000000000000−22−2222220000000000000000000000000000
χ4544-4-440-4404-4-40000040-40000000000000000000002222−22−22000000000000000000000
χ4644-4-440-4404-4-40000040-4000000000000000000000−22−222222000000000000000000000
χ4744-4-4-204-40-22202222−22−2220-20000000000023−230−2−22200000000000000006−60000000000
χ4844-4-4-204-40-22202222−22−2220-200000000000−23230−2−2220000000000000000−660000000000
χ4944-4-4-204-40-2220−22−22222220-20000000000023−23022−2−20000000000000000−660000000000
χ5044-4-4-204-40-2220−22−22222220-200000000000−2323022−2−200000000000000006−60000000000
χ514-44-440000-44-402i−2i2i−2i00004i−4i000000000002i−2i2i−2i0002-22-2000000000000000000000
χ524-44-440000-44-402i−2i2i−2i0000−4i4i000000000002i−2i2i−2i000-22-22000000000000000000000
χ534-44-440000-44-40−2i2i−2i2i00004i−4i00000000000−2i2i−2i2i000-22-22000000000000000000000
χ544-44-440000-44-40−2i2i−2i2i0000−4i4i00000000000−2i2i−2i2i0002-22-2000000000000000000000
χ554-4-444400-4-4-440−2i22i22i2−2i2040-40000000000000−2i22i22i2−2i20000000000000000000000000000
χ564-4-444400-4-4-4402i2−2i2−2i22i2040-400000000000002i2−2i2−2i22i20000000000000000000000000000
χ574-4-444-4004-4-44000000-4040000000000000000000022−22−2222000000000000000000000
χ584-4-444-4004-4-44000000-40400000000000000000000−222222−22000000000000000000000
χ594-4-44-2400-422-20−2i22i22i2−2i20-2020000000023−23000i2−i2−i2i200000000000000i6−i6000000000000
χ604-4-44-2400-422-20−2i22i22i2−2i20-20200000000−2323000i2−i2−i2i200000000000000−i6i6000000000000
χ614-4-44-2400-422-202i2−2i2−2i22i20-2020000000023−23000−i2i2i2−i200000000000000−i6i6000000000000
χ624-4-44-2400-422-202i2−2i2−2i22i20-20200000000−2323000−i2i2i2−i200000000000000i6−i6000000000000
χ6388-8-8-40-880-44400000-4040000000000000000000000000000000000000000000000
χ648-88-8-400004-4404i−4i4i−4i00000000000000000−2i2i−2i2i0000000000000000000000000000
χ658-88-8-400004-440−4i4i−4i4i000000000000000002i−2i2i−2i0000000000000000000000000000
χ668-8-88-4-800844-400000040-4000000000000000000000000000000000000000000000

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