Finite Group Databasebeta

← Group #10833440

Character table — Group #10833440

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111222222222244444444444444444488888888888816161616161616161616161624242424242424242424242424242424
order1222223444466622224444666612121212121224666661212121212448812121212242424242444444444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111-1-111-1-11111111111-1-11-1-1-1-11-1-1-1-111-1-11111-1-1-1-1111-1-11-1-1-1-1-1-11111
χ61111111111111111-1-111-1-11111111111-1-11-1-1-1-11-1-1-1-111-1-11111-1-1-1-1-1-1-111-1111111-1-1-1-1
χ71111111111111111-1-111-1-11111111111-1-11-1-1-1-11-1-1-1-1-1-111-1-1-1-11111111-1-11-1-11111-1-1-1-1
χ81111111111111111-1-111-1-11111111111-1-11-1-1-1-11-1-1-1-1-1-111-1-1-1-11111-1-1-111-111-1-1-1-11111
χ911111111111111-1-111-1-11111-1-111-1-111-1-1-111-1-1-111-1-11-11-111-1-111-1-11-1-1-1-111111-1-111-1-1
χ1011111111111111-1-111-1-11111-1-111-1-111-1-1-111-1-1-111-1-11-11-111-1-111-1-1-11111-1-1-1-1-111-1-111
χ1111111111111111-1-111-1-11111-1-111-1-111-1-1-111-1-1-111-1-1-11-11-1-111-1-1111-1-1-1-1111-1-111-1-111
χ1211111111111111-1-111-1-11111-1-111-1-111-1-1-111-1-1-111-1-1-11-11-1-111-1-111-11111-1-1-111-1-111-1-1
χ1311111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-111-1-1-1111-1-1111-1-1-1-1111-1-1111-1-1-1-11111-1-1
χ1411111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-111-1-1-1111-1-1111-1-1-1-111-111-1-1-11111-1-1-1-111
χ1511111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-111-1-1-111-111-1-1-11111-1-11-1-1111-1-111-1-1-1-111
χ1611111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-111-1-1-111-111-1-1-11111-1-1-111-1-1-111-1-11111-1-1
χ172222222-2-2-2-22222200-2-2002222-2-2-2-2-2-20020000-200000000000000000002-202-200000000
χ182222222-2-2-2-22222200-2-2002222-2-2-2-2-2-20020000-20000000000000000000-220-2200000000
χ192222222-2-2-2-2222-2-200220022-2-2-2-222-2-200-20000200000000000000000002-20-2200000000
χ202222222-2-2-2-2222-2-200220022-2-2-2-222-2-200-2000020000000000000000000-2202-200000000
χ21222222-12222-1-1-122222222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000
χ22222222-12222-1-1-122222222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000000000
χ23222222-12222-1-1-122-2-222-2-2-1-1-1-1-1-1-1-1-1-1-2-2-11111-1111122-2-2-1-1-1-111110000000000000000
χ24222222-12222-1-1-122-2-222-2-2-1-1-1-1-1-1-1-1-1-1-2-2-11111-11111-2-2221111-1-1-1-10000000000000000
χ25222222-12222-1-1-1-2-222-2-222-1-111-1-111-1-1-2-21-1-1111-1-1112-22-2-1-111-1-1110000000000000000
χ26222222-12222-1-1-1-2-222-2-222-1-111-1-111-1-1-2-21-1-1111-1-111-22-2211-1-111-1-10000000000000000
χ27222222-12222-1-1-1-2-2-2-2-2-2-2-2-1-111-1-111-1-122111-1-1111-1-12-2-22-1-11111-1-10000000000000000
χ28222222-12222-1-1-1-2-2-2-2-2-2-2-2-1-111-1-111-1-122111-1-1111-1-1-222-211-1-1-1-1110000000000000000
χ292222-2-222-2-222222-2002-200-2-2222222-2-200-20000-2000000000000000022-200-20000000000
χ302222-2-222-2-222222-2002-200-2-2222222-2-200-20000-20000000000000000-2-220020000000000
χ312222-2-222-2-22222-2200-2200-2-2-2-222-2-2-2-20020000200000000000000002-2200-20000000000
χ322222-2-222-2-22222-2200-2200-2-2-2-222-2-2-2-2002000020000000000000000-22-20020000000000
χ332222-2-22-222-22222-222-22-2-2-2-222-2-2-2-2222-2-222222-2-2-2-20000000000000000000000000000
χ342222-2-22-222-22222-2-2-2-2222-2-222-2-2-2-222-22-2-2-2-2-2222220000000000000000000000000000
χ352222-2-22-222-2222-22222-2-2-2-2-2-2-2-2-22222-22222-2-2-2-2-2220000000000000000000000000000
χ362222-2-22-222-2222-22-2-22-222-2-2-2-2-2-222222-22-2-222-222-2-20000000000000000000000000000
χ372222-2-2-1-222-2-1-1-12-222-22-2-211-1-11111-1-12-21-1-1-1-1-111110000−i3i3−i3i3−i3i3−i3i30000000000000000
χ382222-2-2-1-222-2-1-1-12-222-22-2-211-1-11111-1-12-21-1-1-1-1-111110000i3−i3i3−i3i3−i3i3−i30000000000000000
χ392222-2-2-1-222-2-1-1-12-2-2-2-222211-1-11111-1-1-2211111-1-1-1-1-10000−i3i3−i3i3i3−i3i3−i30000000000000000
χ402222-2-2-1-222-2-1-1-12-2-2-2-222211-1-11111-1-1-2211111-1-1-1-1-10000i3−i3i3−i3−i3i3−i3i30000000000000000
χ412222-2-2-1-222-2-1-1-1-22222-2-2-2111111-1-1-1-1-22-1-1-111111-1-10000−i3i3i3−i3−i3i3i3−i30000000000000000
χ422222-2-2-1-222-2-1-1-1-22222-2-2-2111111-1-1-1-1-22-1-1-111111-1-10000i3−i3−i3i3i3−i3−i3i30000000000000000
χ432222-2-2-1-222-2-1-1-1-22-2-22-222111111-1-1-1-12-2-111-1-11-1-1110000−i3i3i3−i3i3−i3−i3i30000000000000000
χ442222-2-2-1-222-2-1-1-1-22-2-22-222111111-1-1-1-12-2-111-1-11-1-1110000i3−i3−i3i3−i3i3i3−i30000000000000000
χ452-2-222-2222-2-2-2-22002-2002-22-2002-2002-20002-20002-200000000000000000000002i−2i002i−2i00
χ462-2-222-2222-2-2-2-22002-2002-22-2002-2002-20002-20002-20000000000000000000000−2i2i00−2i2i00
χ472-2-222-2222-2-2-2-2200-2200-222-2002-2002-2000-22000-2200000000000000000000002i−2i00−2i2i00
χ482-2-222-2222-2-2-2-2200-2200-222-2002-2002-2000-22000-220000000000000000000000−2i2i002i−2i00
χ492-2-22-222-22-22-2-22002-200-22-2200-22002-20002-2000-220000000000000000000000002-2002-2
χ502-2-22-222-22-22-2-22002-200-22-2200-22002-20002-2000-22000000000000000000000000-2200-22
χ512-2-22-222-22-22-2-2200-22002-2-2200-22002-2000-220002-20000000000000000000000002-200-22
χ522-2-22-222-22-22-2-2200-22002-2-2200-22002-2000-220002-2000000000000000000000000-22002-2
χ53444444-2-4-4-4-4-2-2-24400-4-400-2-2-2-222222200-20000200000000000000000000000000000000
χ54444444-2-4-4-4-4-2-2-2-4-4004400-2-22222-2-2220020000-200000000000000000000000000000000
χ554444-4-4-24-4-44-2-2-24-4004-40022-2-2-2-2-2-2220020000200000000000000000000000000000000
χ564444-4-4-24-4-44-2-2-2-4400-44002222-2-2222200-20000-200000000000000000000000000000000
χ574-4-444-44-4-444-4-44000000004-400-4400-440000000000000000000000000000000000000000
χ584-4-444-4-244-4-422-2004-4004-4-2200-2200-22000-22000-22000000000000000000000000000000
χ594-4-444-4-244-4-422-200-4400-44-2200-2200-220002-20002-2000000000000000000000000000000
χ604-4-444-4-2-4-44422-200000000-22002-2002-200000−2i32i3000−2i32i30000000000000000000000000000
χ614-4-444-4-2-4-44422-200000000-22002-2002-2000002i3−2i30002i3−2i30000000000000000000000000000
χ624-4-44-4444-44-4-4-4400000000-44004-400-440000000000000000000000000000000000000000
χ634-4-44-44-24-44-422-2000000002-200-22002-200000−2i32i30002i3−2i30000000000000000000000000000
χ644-4-44-44-24-44-422-2000000002-200-22002-2000002i3−2i3000−2i32i30000000000000000000000000000
χ654-4-44-44-2-44-4422-2004-400-442-2002-200-22000-220002-2000000000000000000000000000000
χ664-4-44-44-2-44-4422-200-44004-42-2002-200-220002-2000-22000000000000000000000000000000
χ6788-8-80080000-88-80000000000000000000000000000000000000000000000000000000000
χ6888-8-800-400004-440000000000000043−43000000000000000000000000000000000000000000
χ6988-8-800-400004-4400000000000000−4343000000000000000000000000000000000000000000
χ708-88-800800008-8-80000000000000000000000000000000000000000000000000000000000
χ718-88-800-40000-4440000000000−4i34i30000000000000000000000000000000000000000000000
χ728-88-800-40000-44400000000004i3−4i30000000000000000000000000000000000000000000000

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