Finite Group Databasebeta

← Group #10832455

Character table — Group #10832455

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size111122222222222244444444444444444888888888888121212121616161616161616161616162424242424242424242424242424
order12222222344446662224444666612121212121224666661212121212888824668812122424242422228888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ3111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ511111111111111111-1-111-1-11111111111-1-11-1-1-1-11-1-1-1-111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ611111111111111111-1-111-1-11111111111-1-11-1-1-1-11-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111
χ711111111111111111-1-111-1-11111111111-1-11-1-1-1-11-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111111
χ811111111111111111-1-111-1-11111111111-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-11111-1-1-1-1
χ9111111-1-111111111-111-1-11111-1-111-1-111-1-1-111-1-1-111-1-111-1-11-111-11-1-111-1-111-1-11-111-1-111-1-1
χ10111111-1-111111111-111-1-11111-1-111-1-111-1-1-111-1-1-111-1-111-1-1-11-1-11-111-1-111-1-1111-111-1-1-1-111
χ11111111-1-111111111-111-1-11111-1-111-1-111-1-1-111-1-1-111-1-1-1-1111-111-11-1-111-1-1-1-111-11-1-111-1-111
χ12111111-1-111111111-111-1-11111-1-111-1-111-1-1-111-1-1-111-1-1-1-111-11-1-11-111-1-11111-1-1-11-1-11111-1-1
χ13111111-1-111111111-1-1-1-1-1-1-111-1-111-1-11111-1-1-111-1-1-11111-1-11-1111-1-1-1-1-11111-1-11-1-1-111-1-111
χ14111111-1-111111111-1-1-1-1-1-1-111-1-111-1-11111-1-1-111-1-1-11111-1-1-11-1-1-111111-1-1-1-1111-1-1-11111-1-1
χ15111111-1-111111111-1-1-1-1-1-1-111-1-111-1-11111-1-1-111-1-1-111-1-1111-1111-1-1-1-1-111-1-111-1111-1-111-1-1
χ16111111-1-111111111-1-1-1-1-1-1-111-1-111-1-11111-1-1-111-1-1-111-1-111-11-1-1-111111-1-111-1-1-1111-1-1-1-111
χ17222222222-2-2-2-2222200-2-2002222-2-2-2-2-2-20020000-2000000000000000000000000002i−2i2i−2i0000
χ18222222222-2-2-2-2222200-2-2002222-2-2-2-2-2-20020000-200000000000000000000000000−2i2i−2i2i0000
χ1922222222-12222-1-1-12222222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1000022-1-122-1-1-1-1-1-100000000000000
χ2022222222-12222-1-1-12222222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-10000-2-211-2-211111100000000000000
χ2122222222-12222-1-1-12-2-222-2-2-1-1-1-1-1-1-1-1-1-1-2-2-11111-11111000022-1-1-2-2-1-1111100000000000000
χ2222222222-12222-1-1-12-2-222-2-2-1-1-1-1-1-1-1-1-1-1-2-2-11111-111110000-2-2112211-1-1-1-100000000000000
χ23222222-2-22-2-2-2-2222-200220022-2-2-2-222-2-200-200002000000000000000000000000002i−2i−2i2i0000
χ24222222-2-22-2-2-2-2222-200220022-2-2-2-222-2-200-20000200000000000000000000000000−2i2i2i−2i0000
χ25222222-2-2-12222-1-1-1-222-2-222-1-111-1-111-1-1-2-21-1-1111-1-11100002-2-1-1-2211-1-11100000000000000
χ26222222-2-2-12222-1-1-1-222-2-222-1-111-1-111-1-1-2-21-1-1111-1-1110000-22112-2-1-111-1-100000000000000
χ27222222-2-2-12222-1-1-1-2-2-2-2-2-2-2-1-111-1-111-1-122111-1-1111-1-100002-2-1-12-21111-1-100000000000000
χ28222222-2-2-12222-1-1-1-2-2-2-2-2-2-2-1-111-1-111-1-122111-1-1111-1-10000-2211-22-1-1-1-11100000000000000
χ292222-2-22222-2-22222-2222-2-2-2-2-222-2-2-2-2222-2-222222-2-2-2-2000000000000000000000000000000
χ302222-2-22222-2-22222-2-2-22-222-2-222-2-2-2-222-22-2-2-2-2-222222000000000000000000000000000000
χ312222-2-2222-222-2222-200-2200-2-2222222-2-200-20000-2000022220000000000000000-2-200000000
χ322222-2-2222-222-2222-200-2200-2-2222222-2-200-20000-20000-2-2-2-200000000000000002200000000
χ332222-2-222-12-2-22-1-1-1-2222-2-2-211-1-11111-1-12-21-1-1-1-1-11111000000−i3i300−i3i3−i3i3−i3i300000000000000
χ342222-2-222-12-2-22-1-1-1-2222-2-2-211-1-11111-1-12-21-1-1-1-1-11111000000i3−i300i3−i3i3−i3i3−i300000000000000
χ352222-2-222-12-2-22-1-1-1-2-2-22-22211-1-11111-1-1-2211111-1-1-1-1-1000000−i3i300−i3i3i3−i3i3−i300000000000000
χ362222-2-222-12-2-22-1-1-1-2-2-22-22211-1-11111-1-1-2211111-1-1-1-1-1000000i3−i300i3−i3−i3i3−i3i300000000000000
χ372222-2-2-2-222-2-22222222-22-2-2-2-2-2-2-2-22222-22222-2-2-2-2-222000000000000000000000000000000
χ382222-2-2-2-222-2-222222-2-2-2222-2-2-2-2-2-222222-22-2-222-222-2-2000000000000000000000000000000
χ392222-2-2-2-22-222-22222002-200-2-2-2-222-2-2-2-200200002000022-2-20000000000000000-2200000000
χ402222-2-2-2-22-222-22222002-200-2-2-2-222-2-2-2-2002000020000-2-22200000000000000002-200000000
χ412222-2-2-2-2-12-2-22-1-1-1222-22-2-2111111-1-1-1-1-22-1-1-111111-1-1000000−i3i300i3−i3−i3i3i3−i300000000000000
χ422222-2-2-2-2-12-2-22-1-1-1222-22-2-2111111-1-1-1-1-22-1-1-111111-1-1000000i3−i300−i3i3i3−i3−i3i300000000000000
χ432222-2-2-2-2-12-2-22-1-1-12-2-2-2222111111-1-1-1-12-2-111-1-11-1-111000000−i3i300i3−i3i3−i3−i3i300000000000000
χ442222-2-2-2-2-12-2-22-1-1-12-2-2-2222111111-1-1-1-12-2-111-1-11-1-111000000i3−i300−i3i3−i3i3i3−i300000000000000
χ452-2-222-2002-22-22-2-2202-2002-22-2002-2002-20002-20002-20000000000000000002-2000000002-200
χ462-2-222-2002-22-22-2-2202-2002-22-2002-2002-20002-20002-2000000000000000000-2200000000-2200
χ472-2-222-2002-22-22-2-220-2200-222-2002-2002-2000-22000-220000000000000000002-200000000-2200
χ482-2-222-2002-22-22-2-220-2200-222-2002-2002-2000-22000-22000000000000000000-22000000002-200
χ492-2-22-22002-2-222-2-2202-200-22-2200-22002-20002-2000-22000000000000000000002-2000000002-2
χ502-2-22-22002-2-222-2-2202-200-22-2200-22002-20002-2000-2200000000000000000000-2200000000-22
χ512-2-22-22002-2-222-2-220-22002-2-2200-22002-2000-220002-2000000000000000000002-200000000-22
χ522-2-22-22002-2-222-2-220-22002-2-2200-22002-2000-220002-200000000000000000000-22000000002-2
χ5344444444-2-4-4-4-4-2-2-2400-4-400-2-2-2-222222200-2000020000000000000000000000000000000000
χ54444444-4-4-2-4-4-4-4-2-2-2-4004400-2-22222-2-2220020000-20000000000000000000000000000000000
χ554444-4-444-2-444-4-2-2-2-400-440022-2-2-2-2-2-222002000020000000000000000000000000000000000
χ564444-4-4-4-4-2-444-4-2-2-24004-4002222-2-2222200-20000-20000000000000000000000000000000000
χ574-44-4004-440000-44-40000000004-400000000000000000022−2222−2200000000000000000000000000
χ584-44-4004-440000-44-40000000004-4000000000000000000−2222−222200000000000000000000000000
χ594-44-400-4440000-44-4000000000-4400000000000000000022−22−222200000000000000000000000000
χ604-44-400-4440000-44-4000000000-44000000000000000000−222222−2200000000000000000000000000
χ614-4-444-40044-44-4-4-4400000004-400-4400-44000000000000000000000000000000000000000000
χ624-4-444-400-24-44-422-20000000-22002-2002-200000−2i32i3000−2i32i3000000000000000000000000000000
χ634-4-444-400-24-44-422-20000000-22002-2002-2000002i3−2i30002i3−2i3000000000000000000000000000000
χ644-4-444-400-2-44-4422-204-4004-4-2200-2200-22000-22000-2200000000000000000000000000000000
χ654-4-444-400-2-44-4422-20-4400-44-2200-2200-220002-20002-200000000000000000000000000000000
χ664-4-44-4400444-4-4-4-440000000-44004-400-44000000000000000000000000000000000000000000
χ674-4-44-4400-244-4-422-200000002-200-22002-200000−2i32i30002i3−2i3000000000000000000000000000000
χ684-4-44-4400-244-4-422-200000002-200-22002-2000002i3−2i3000−2i32i3000000000000000000000000000000
χ694-4-44-4400-2-4-44422-204-400-442-2002-200-22000-220002-200000000000000000000000000000000
χ704-4-44-4400-2-4-44422-20-44004-42-2002-200-220002-2000-2200000000000000000000000000000000
χ7188-8-80000800008-8-800000000000000000000000000000000000000000000000000000000000
χ7288-8-80000-40000-444000000000000043−4300000000000000000000000000000000000000000000
χ7388-8-80000-40000-4440000000000000−434300000000000000000000000000000000000000000000
χ748-88-8008-8-400004-44000000000-44000000000000000000000000000000000000000000000000
χ758-88-800-88-400004-440000000004-4000000000000000000000000000000000000000000000000

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