Finite Group Databasebeta

← Group #10858119

Character table — Group #10858119

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111111112222222222224444444444444444888888888888888888888888121212121616161616162424242424242424242424242424
order12222222344446666666224444446666121212124444441212121212121212121212121212121212124444441212121244444488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-111-1-111111111-1-11111-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1
χ61111111111111111111111-1-111-1-111111111-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111
χ71111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111
χ81111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1
χ911111111111111111111-1-111-1-1-1-1-1-1-1-111111-111-1-111-1-111-1-1-1-11111-1-1-1-111111-111-1-111-1-1-1-11111-1-1-1-1
χ1011111111111111111111-1-111-1-1-1-1-1-1-1-111111-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-1-1-11111-1-1-1-11111
χ1111111111111111111111-1-111-1-1-1-1-1-1-1-111111-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-11-1-11111-1-1-1-1-1-1-1-11111
χ1211111111111111111111-1-111-1-1-1-1-1-1-1-111111-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-111-1-111111111-1-1-1-1
χ1311111111111111111111-1-1-1-1-1-111-1-1-1-11111-1111-1-1-1-1-1-1-1-111111111-1-1-1-11111-11-1-111-1-111-1-1-1-111-1-111
χ1411111111111111111111-1-1-1-1-1-111-1-1-1-11111-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-11111-1-11111-1-111-1-1
χ1511111111111111111111-1-1-1-1-1-111-1-1-1-11111-11-1-111-1-1-1-1-1-11111-1-1-1-1111111111-111-1-1-1-111-1-111-1-111-1-1
χ1611111111111111111111-1-1-1-1-1-111-1-1-1-11111-11-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-111-1-111-1-111-1-111-1-111
χ17222222222-2-2-2-222222222222-2-2-2-22222-2-2-2-2-220000-2-2-2-22222-2-200000000000000000000000000000000
χ18222222222-2-2-2-2222222222-2-2-2-2222222-2-2-2-22-2000022-2-2-2-2-2-22200000000000000000000000000000000
χ19222222222-2-2-2-22222222-2-2222222-2-2-2-2-2-2-2-2-2-20000-2-22222-2-22200000000000000000000000000000000
χ20222222222-2-2-2-22222222-2-2-2-222-2-2-2-2-2-2-2-2-2-22200002222-2-222-2-200000000000000000000000000000000
χ2122222222-12222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022-1-1-1-100000000000000
χ2222222222-12222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1111111110000-2-2111100000000000000
χ2322222222-12222-1-1-1-1-1-1-122-2-222-2-2-1-1-1-1-1-1-1-1-2-2222211-1-1111111-1-1-1-1-1-1-1-10000-2-2111100000000000000
χ2422222222-12222-1-1-1-1-1-1-122-2-222-2-2-1-1-1-1-1-1-1-1-2-2-2-2-2-211-1-111111111111111000022-1-1-1-100000000000000
χ2522222222-12222-1-1-1-1-1-1-1-2-222-2-2-2-21111-1-1-1-12-222-2-2-1-111-1-11111-1-1-1-1111100002-2-1-11100000000000000
χ2622222222-12222-1-1-1-1-1-1-1-2-222-2-2-2-21111-1-1-1-12-2-2-222-1-111-1-111111111-1-1-1-10000-2211-1-100000000000000
χ2722222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2221111-1-1-1-1-2222-2-2111111-1-1-1-1-1-1-1-111110000-2211-1-100000000000000
χ2822222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2221111-1-1-1-1-22-2-222111111-1-1-1-11111-1-1-1-100002-2-1-11100000000000000
χ2922222222-1-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-11111-2200001111-1-1-1-111−i3−i3i3i3−i3−i3i3i3000000−i3i3−i3i300000000000000
χ3022222222-1-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-11111-2200001111-1-1-1-111i3i3−i3−i3i3i3−i3−i3000000i3−i3i3−i300000000000000
χ3122222222-1-2-2-2-2-1-1-1-1-1-1-122-2-2-2-222-1-1-1-111112-20000-1-1111111-1-1−i3−i3i3i3−i3−i3i3i3000000i3−i3i3−i300000000000000
χ3222222222-1-2-2-2-2-1-1-1-1-1-1-122-2-2-2-222-1-1-1-111112-20000-1-1111111-1-1i3i3−i3−i3i3i3−i3−i3000000−i3i3−i3i300000000000000
χ3322222222-1-2-2-2-2-1-1-1-1-1-1-1-2-222222211111111-2-2000011-1-1-1-111-1-1−i3−i3i3i3i3i3−i3−i3000000−i3i3i3−i300000000000000
χ3422222222-1-2-2-2-2-1-1-1-1-1-1-1-2-222222211111111-2-2000011-1-1-1-111-1-1i3i3−i3−i3−i3−i3i3i3000000i3−i3−i3i300000000000000
χ3522222222-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-222-2-211111111220000-1-1-1-111-1-111−i3−i3i3i3i3i3−i3−i3000000i3−i3−i3i300000000000000
χ3622222222-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-222-2-211111111220000-1-1-1-111-1-111i3i3−i3−i3−i3−i3i3i3000000−i3i3i3−i300000000000000
χ3722-2-222-2-2222-2-222-22-2-2-22-2002-20022-2-222-2-2000000002-20000000000000000000000002-22-20000000000
χ3822-2-222-2-2222-2-222-22-2-2-22-2002-20022-2-222-2-2000000002-2000000000000000000000000-22-220000000000
χ3922-2-222-2-2222-2-222-22-2-2-2-2200-2200-2-22222-2-200000000-220000000000000000000000002-2-220000000000
χ4022-2-222-2-2222-2-222-22-2-2-2-2200-2200-2-22222-2-200000000-22000000000000000000000000-222-20000000000
χ4122-2-222-2-22-2-22222-22-2-2-22-200-220022-2-2-2-22200000000-22000000000000002i2i−2i−2i00000000002i−2i00000000
χ4222-2-222-2-22-2-22222-22-2-2-22-200-220022-2-2-2-22200000000-2200000000000000−2i−2i2i2i0000000000−2i2i00000000
χ4322-2-222-2-22-2-22222-22-2-2-2-22002-200-2-222-2-222000000002-2000000000000002i2i−2i−2i0000000000−2i2i00000000
χ4422-2-222-2-22-2-22222-22-2-2-2-22002-200-2-222-2-222000000002-200000000000000−2i−2i2i2i00000000002i−2i00000000
χ452-222-22-2-222-2-22-2-2222-2-20000000000002-22-200002i−2i000000000000002i−2i2i−2i2i−2i2i−2i00000000000000002-200
χ462-222-22-2-222-2-22-2-2222-2-20000000000002-22-200002i−2i000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000-2200
χ472-222-22-2-222-2-22-2-2222-2-20000000000002-22-20000−2i2i00000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000-2200
χ482-222-22-2-222-2-22-2-2222-2-20000000000002-22-20000−2i2i00000000000000−2i2i−2i2i−2i2i−2i2i00000000000000002-200
χ492-2-2-2-22222-22-22-2-2-22-222000000000000-222-2002-20000000000002-22-200002-2-22000000000000002-20000
χ502-2-2-2-22222-22-22-2-2-22-222000000000000-222-2002-20000000000002-22-20000-222-200000000000000-220000
χ512-2-2-2-22222-22-22-2-2-22-222000000000000-222-200-22000000000000-22-2200002-2-2200000000000000-220000
χ522-2-2-2-22222-22-22-2-2-22-222000000000000-222-200-22000000000000-22-220000-222-2000000000000002-20000
χ53444-4-4-44-4400004-44-4-44-40000000000000000000000000000000000000000000000000000000000000022−22
χ54444-4-4-44-4400004-44-4-44-400000000000000000000000000000000000000000000000000000000000000−2222
χ5544-44-4-4-44400004-4-4-44-4400000000000000000000000000000000000000000000000000000000−2i22i2000000
χ5644-44-4-4-44400004-4-4-44-44000000000000000000000000000000000000000000000000000000002i2−2i2000000
χ5744-4-444-4-4-244-4-4-2-22-22224-4004-400-2-222-2-22200000000-2200000000000000000000000000000000000000
χ5844-4-444-4-4-244-4-4-2-22-2222-4400-440022-2-2-2-222000000002-200000000000000000000000000000000000000
χ5944-4-444-4-4-2-4-444-2-22-22224-400-4400-2-22222-2-2000000002-200000000000000000000000000000000000000
χ6044-4-444-4-4-2-4-444-2-22-2222-44004-40022-2-222-2-200000000-2200000000000000000000000000000000000000
χ614-444-44-4-44-444-4-4-4444-4-4000000000000-44-44000000000000000000000000000000000000000000000000
χ624-444-44-4-4-24-4-4422-2-2-222000000000000-22-2200004i−4i00000000000000−2i2i−2i2i000000000000000000000000
χ634-444-44-4-4-24-4-4422-2-2-222000000000000-22-220000−4i4i000000000000002i−2i2i−2i000000000000000000000000
χ644-444-44-4-4-2-444-422-2-2-2220000000000002-22-20000000000000000000023−23−2323000000000000000000000000
χ654-444-44-4-4-2-444-422-2-2-2220000000000002-22-200000000000000000000−232323−23000000000000000000000000
χ664-44-44-4-4440000-444-4-4-44004i−4i00000000000000000000004i−4i000000000000000000000000000000000000
χ674-44-44-4-4440000-444-4-4-4400−4i4i0000000000000000000000−4i4i000000000000000000000000000000000000
χ684-44-44-4-44-200002-2-2222-2004i−4i0000−2i32i3−2i32i300000000000000−2i2i23−230000000000000000000000000000000000
χ694-44-44-4-44-200002-2-2222-2004i−4i00002i3−2i32i3−2i300000000000000−2i2i−23230000000000000000000000000000000000
χ704-44-44-4-44-200002-2-2222-200−4i4i0000−2i32i3−2i32i3000000000000002i−2i−23230000000000000000000000000000000000
χ714-44-44-4-44-200002-2-2222-200−4i4i00002i3−2i32i3−2i3000000000000002i−2i23−230000000000000000000000000000000000
χ724-4-444-44-440000-44-4-444-40000004i−4i00000000000000000000004i−4i00000000000000000000000000000000
χ734-4-444-44-440000-44-4-444-4000000−4i4i0000000000000000000000−4i4i00000000000000000000000000000000
χ744-4-444-44-4-200002-222-2-220000004i−4i−2i32i32i3−2i3000000000023−23000000−2i2i00000000000000000000000000000000
χ754-4-444-44-4-200002-222-2-220000004i−4i2i3−2i3−2i32i30000000000−2323000000−2i2i00000000000000000000000000000000
χ764-4-444-44-4-200002-222-2-22000000−4i4i−2i32i32i3−2i30000000000−23230000002i−2i00000000000000000000000000000000
χ774-4-444-44-4-200002-222-2-22000000−4i4i2i3−2i3−2i32i3000000000023−230000002i−2i00000000000000000000000000000000
χ784-4-4-4-444444-44-4-4-4-44-4440000000000004-4-44000000000000000000000000000000000000000000000000
χ794-4-4-4-4444-24-44-4222-22-2-2000000000000-222-20000000000000000−2i32i32i3−2i30000000000000000000000000000
χ804-4-4-4-4444-24-44-4222-22-2-2000000000000-222-200000000000000002i3−2i3−2i32i30000000000000000000000000000
χ814-4-4-4-4444-2-44-44222-22-2-20000000000002-2-22004-4000000000000-22-220000000000000000000000000000
χ824-4-4-4-4444-2-44-44222-22-2-20000000000002-2-2200-440000000000002-22-20000000000000000000000000000
χ83888-8-8-88-8-40000-44-444-440000000000000000000000000000000000000000000000000000000000000000
χ8488-88-8-8-88-40000-4444-44-40000000000000000000000000000000000000000000000000000000000000000

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