Finite Group Databasebeta

← Group #10901323

Character table — Group #10901323

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size11112222222222224444444444444888888888888881616161616161616161616162424242424242424242424244848
order1222223444444666444661212121212121212244466121212121212121224668812122424242424444444444488
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1111-1-11-1-1-1-1-1-111
χ611111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-111-1111111-1-1
χ711111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111111-1-11-1-11111-1-1
χ811111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-111-111-1-1-1-111
χ91111111-1-11111111-1-1-111-1-1-1-111111-1-1111-1-1-1-1-1-1111-1111-1-1-111-1-11-1-1111-1-111-1-11-1
χ101111111-1-11111111-1-1-111-1-1-1-111111-1-1111-1-1-1-1-1-1111-1111-1-1-111-1-1-111-1-1-111-1-111-11
χ111111111-1-11111111-1-1-111-1-1-1-111111-1-1111-1-1-1-1-1-111-11-1-1-1111-1-1111-1-1111-1-1-1-111-11
χ121111111-1-11111111-1-1-111-1-1-1-111111-1-1111-1-1-1-1-1-111-11-1-1-1111-1-111-111-1-1-11111-1-11-1
χ131111111-1-11111111-1-1-111-1-1-1-11111-111-1-1-1-1-11111-1-11-111-11-1-1-1-1111-1-1-1-1111-1-1111-1
χ141111111-1-11111111-1-1-111-1-1-1-11111-111-1-1-1-1-11111-1-11-111-11-1-1-1-111-11111-1-1-111-1-1-11
χ151111111-1-11111111-1-1-111-1-1-1-11111-111-1-1-1-1-11111-1-1-11-1-11-11111-1-11-1-1-1-111111-1-1-11
χ161111111-1-11111111-1-1-111-1-1-1-11111-111-1-1-1-1-11111-1-1-11-1-11-11111-1-1-11111-1-1-1-1-1111-1
χ17222222222-2-2-2-22222-2-22222-2-2-2-2-2-20000002-20000000000000000000002-202-2000000
χ18222222222-2-2-2-22222-2-22222-2-2-2-2-2-20000002-2000000000000000000000-220-22000000
χ192222222-2-2-2-2-2-2222-22222-2-222-2-2-2-2000000-220000000000000000000002-20-22000000
χ202222222-2-2-2-2-2-2222-22222-2-222-2-2-2-2000000-22000000000000000000000-2202-2000000
χ21222222-1222222-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-100000000000000
χ22222222-1222222-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-211-2-211111100000000000000
χ23222222-1222222-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-2-211-1-111111122-1-1-2-2-1-1111100000000000000
χ24222222-1222222-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-2-211-1-1111111-2-2112211-1-1-1-100000000000000
χ25222222-1-2-22222-1-1-1-2-2-2-1-11111-1-1-1-12-2-22-1-1111111-1-12-2-1-12-211-1-11100000000000000
χ26222222-1-2-22222-1-1-1-2-2-2-1-11111-1-1-1-12-2-22-1-1111111-1-1-2211-22-1-111-1-100000000000000
χ27222222-1-2-22222-1-1-1-2-2-2-1-11111-1-1-1-1-222-21111-1-1-1-1112-2-1-1-221111-1-100000000000000
χ28222222-1-2-22222-1-1-1-2-2-2-1-11111-1-1-1-1-222-21111-1-1-1-111-22112-2-1-1-1-11100000000000000
χ292222-2-22222-22-2222-22-2-2-222-2-22-2-2222-2-222-2222-2-2-2-200000000000000000000000000
χ302222-2-22222-22-2222-22-2-2-222-2-22-2-22-2-222-2-2-22-2-2222200000000000000000000000000
χ312222-2-2222-22-22222-2-22-2-22222-222-2000000-2-200000000000000000022-200-200000000
χ322222-2-2222-22-22222-2-22-2-22222-222-2000000-2-2000000000000000000-2-2200200000000
χ332222-2-22-2-22-22-22222-22-2-2-2-2222-2-222-22-2222-2-2-222-2-200000000000000000000000000
χ342222-2-22-2-22-22-22222-22-2-2-2-2222-2-22-22-22-2-22-222-2-22200000000000000000000000000
χ352222-2-22-2-2-22-2222222-2-2-2-2-2-2-2-222-2000000220000000000000000002-2200-200000000
χ362222-2-22-2-2-22-2222222-2-2-2-2-2-2-2-222-200000022000000000000000000-22-200200000000
χ372222-2-2-1222-22-2-1-1-1-22-211-1-111-111-122-2-2-1-11-1-1-1111100−i3i300−i3i3−i3i3−i3i300000000000000
χ382222-2-2-1222-22-2-1-1-1-22-211-1-111-111-122-2-2-1-11-1-1-1111100i3−i300i3−i3i3−i3i3−i300000000000000
χ392222-2-2-1222-22-2-1-1-1-22-211-1-111-111-1-2-222111-111-1-1-1-100−i3i300−i3i3i3−i3i3−i300000000000000
χ402222-2-2-1222-22-2-1-1-1-22-211-1-111-111-1-2-222111-111-1-1-1-100i3−i300i3−i3−i3i3−i3i300000000000000
χ412222-2-2-1-2-22-22-2-1-1-12-221111-1-1-111-12-22-2-1-1-1111-1-11100−i3i300i3−i3−i3i3i3−i300000000000000
χ422222-2-2-1-2-22-22-2-1-1-12-221111-1-1-111-12-22-2-1-1-1111-1-11100i3−i300−i3i3i3−i3−i3i300000000000000
χ432222-2-2-1-2-22-22-2-1-1-12-221111-1-1-111-1-22-2211-11-1-111-1-100−i3i300i3−i3i3−i3−i3i300000000000000
χ442222-2-2-1-2-22-22-2-1-1-12-221111-1-1-111-1-22-2211-11-1-111-1-100i3−i300−i3i3−i3i3i3−i300000000000000
χ45444444-244-4-4-4-4-2-2-24-4-4-2-2-2-2222222000000-2200000000000000000000000000000000
χ46444444-2-4-4-4-4-4-4-2-2-2-444-2-222-2-222220000002-200000000000000000000000000000000
χ474444-4-4-244-44-44-2-2-2-4-4422-2-2-2-22-2-220000002200000000000000000000000000000000
χ484444-4-4-2-4-4-44-44-2-2-244-42222222-2-22000000-2-200000000000000000000000000000000
χ494-44-40044i−4i00004-4-4000004i−4i00000000000000000000000000000000000000002-22i−2i00
χ504-44-40044i−4i00004-4-4000004i−4i0000000000000000000000000000000000000000-22−2i2i00
χ514-44-4004−4i4i00004-4-400000−4i4i00000000000000000000000000000000000000002-2−2i2i00
χ524-44-4004−4i4i00004-4-400000−4i4i0000000000000000000000000000000000000000-222i−2i00
χ534-4-444-440044-4-4-4-440004-4000044-4-40000000000000000000000000000000000000000
χ544-4-444-4400-4-444-4-440004-40000-4-4440000000000000000000000000000000000000000
χ554-4-444-4-20044-4-422-2000-220000-2-2220000000023−2323−230000000000000000000000000000
χ564-4-444-4-20044-4-422-2000-220000-2-22200000000−2323−23230000000000000000000000000000
χ574-4-444-4-200-4-44422-2000-22000022-2-20000−2i32i3000000−2i32i300000000000000000000000000
χ584-4-444-4-200-4-44422-2000-22000022-2-200002i3−2i30000002i3−2i300000000000000000000000000
χ594-4-44-444004-4-44-4-44000-4400004-44-40000000000000000000000000000000000000000
χ604-4-44-44400-444-4-4-44000-440000-44-440000000000000000000000000000000000000000
χ614-4-44-44-2004-4-4422-20002-20000-22-220000000023−23−23230000000000000000000000000000
χ624-4-44-44-2004-4-4422-20002-20000-22-2200000000−232323−230000000000000000000000000000
χ634-4-44-44-200-444-422-20002-200002-22-20000−2i32i30000002i3−2i300000000000000000000000000
χ644-4-44-44-200-444-422-20002-200002-22-200002i3−2i3000000−2i32i300000000000000000000000000
χ6588-8-8008000000-88-800000000000000000000000000000000000000000000000000000
χ6688-8-800-40000004-44000000043−4300000000000000000000000000000000000000000000
χ6788-8-800-40000004-440000000−434300000000000000000000000000000000000000000000
χ688-88-800-48i−8i0000-44400000−4i4i0000000000000000000000000000000000000000000000
χ698-88-800-4−8i8i0000-444000004i−4i0000000000000000000000000000000000000000000000

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