Finite Group Databasebeta

← Group #10901287

Character table — Group #10901287

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size11112222222222224444444444444888888888888881616161616161616161616162424242424242424242424244848
order12222234444446664446612121212121212122444661212121212121212226666882424242424444444444488
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
χ511111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ611111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1
χ711111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1
χ811111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ91111111-1-11111111-1-1-111111-1-1-1-111-11-111-1-111-1-1-1-11-111-1-11-111-1-11-11-111-1-111-1-11-1
χ101111111-1-11111111-1-1-111111-1-1-1-111-11-111-1-111-1-1-1-11-111-1-11-111-1-1-11-11-1-111-1-111-11
χ111111111-1-11111111-1-1-111111-1-1-1-111-11-111-1-111-1-1-1-1-11-1-111-11-1-1111-11-111-1-1-1-111-11
χ121111111-1-11111111-1-1-111111-1-1-1-111-11-111-1-111-1-1-1-1-11-1-111-11-1-111-11-11-1-11111-1-11-1
χ131111111-1-11111111-1-1-111111-1-1-1-11-11-11-1-1-1-1-1-111111-111-1-1-11-1-1111-11-1-1-111-1-1111-1
χ141111111-1-11111111-1-1-111111-1-1-1-11-11-11-1-1-1-1-1-111111-111-1-1-11-1-111-11-1111-1-111-1-1-11
χ151111111-1-11111111-1-1-111111-1-1-1-11-11-11-1-1-1-1-1-11111-11-1-1111-111-1-11-11-1-1-11111-1-1-11
χ161111111-1-11111111-1-1-111111-1-1-1-11-11-11-1-1-1-1-1-11111-11-1-1111-111-1-1-11-1111-1-1-1-1111-1
χ17222222222-2-2-2-22222-2-222-2-2-222-2-2-20000002-200000000000000000000002-22-2000000
χ18222222222-2-2-2-22222-2-222-2-2-222-2-2-20000002-20000000000000000000000-22-22000000
χ192222222-2-2-2-2-2-2222-22222-2-2-2-2-222-2000000-2200000000000000000000002-2-22000000
χ202222222-2-2-2-2-2-2222-22222-2-2-2-2-222-2000000-220000000000000000000000-222-2000000
χ21222222-1222222-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-100000000000000
χ22222222-1222222-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-21111-2-2111100000000000000
χ23222222-1222222-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-2-211-1-111111122-1-1-1-1-2-2111100000000000000
χ24222222-1222222-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-2-211-1-1111111-2-2111122-1-1-1-100000000000000
χ25222222-1-2-22222-1-1-1-2-2-2-1-1-1-1-11111-12-22-2-1-111-1-111112-2-1-1112-2-1-11100000000000000
χ26222222-1-2-22222-1-1-1-2-2-2-1-1-1-1-11111-12-22-2-1-111-1-11111-2211-1-1-2211-1-100000000000000
χ27222222-1-2-22222-1-1-1-2-2-2-1-1-1-1-11111-1-22-22111111-1-1-1-12-2-1-111-2211-1-100000000000000
χ28222222-1-2-22222-1-1-1-2-2-2-1-1-1-1-11111-1-22-22111111-1-1-1-1-2211-1-12-2-1-11100000000000000
χ292222-2-22222-22-2222-22-2-2-22-2-222-2-2222-2-222-22-2-222-2-200000000000000000000000000
χ302222-2-22222-22-2222-22-2-2-22-2-222-2-22-2-222-2-2-2222-2-22200000000000000000000000000
χ312222-2-2222-22-22222-2-22-2-2-2222222-2000000-2-200000000000000000022-2-20000000000
χ322222-2-2222-22-22222-2-22-2-2-2222222-2000000-2-2000000000000000000-2-2220000000000
χ332222-2-22-2-22-22-22222-22-2-22-2-2-2-22222-2-22222-2-2-2-2-22200000000000000000000000000
χ342222-2-22-2-22-22-22222-22-2-22-2-2-2-2222-222-2-2-22-22222-2-200000000000000000000000000
χ352222-2-22-2-2-22-2222222-2-2-2-222-2-2-2-2-2000000220000000000000000002-2-220000000000
χ362222-2-22-2-2-22-2222222-2-2-2-222-2-2-2-2-200000022000000000000000000-222-20000000000
χ372222-2-2-1222-22-2-1-1-1-22-211-111-1-111-122-2-2-1-11-111-1-11100−i3i3−i3i300−i3i3−i3i300000000000000
χ382222-2-2-1222-22-2-1-1-1-22-211-111-1-111-122-2-2-1-11-111-1-11100i3−i3i3−i300i3−i3i3−i300000000000000
χ392222-2-2-1222-22-2-1-1-1-22-211-111-1-111-1-2-222111-1-1-111-1-100−i3i3−i3i300i3−i3i3−i300000000000000
χ402222-2-2-1222-22-2-1-1-1-22-211-111-1-111-1-2-222111-1-1-111-1-100i3−i3i3−i300−i3i3−i3i300000000000000
χ412222-2-2-1-2-22-22-2-1-1-12-2211-11111-1-1-12-2-22-1-1-111111-1-100−i3i3i3−i300−i3i3i3−i300000000000000
χ422222-2-2-1-2-22-22-2-1-1-12-2211-11111-1-1-12-2-22-1-1-111111-1-100i3−i3−i3i300i3−i3−i3i300000000000000
χ432222-2-2-1-2-22-22-2-1-1-12-2211-11111-1-1-1-222-211-11-1-1-1-11100−i3i3i3−i300i3−i3−i3i300000000000000
χ442222-2-2-1-2-22-22-2-1-1-12-2211-11111-1-1-1-222-211-11-1-1-1-11100i3−i3−i3i300−i3i3i3−i300000000000000
χ45444444-244-4-4-4-4-2-2-24-4-4-2-2222-2-2222000000-2200000000000000000000000000000000
χ46444444-2-4-4-4-4-4-4-2-2-2-444-2-222222-2-220000002-200000000000000000000000000000000
χ474444-4-4-244-44-44-2-2-2-4-44222-2-2-2-2-2-220000002200000000000000000000000000000000
χ484444-4-4-2-4-4-44-44-2-2-244-4222-2-222222000000-2-200000000000000000000000000000000
χ4944-4-40044-400004-4-4000000004-400000000000000000000000000000000000002i−2i2i−2i00
χ5044-4-40044-400004-4-4000000004-40000000000000000000000000000000000000−2i2i−2i2i00
χ5144-4-4004-4400004-4-400000000-4400000000000000000000000000000000000002i−2i−2i2i00
χ5244-4-4004-4400004-4-400000000-440000000000000000000000000000000000000−2i2i2i−2i00
χ534-44-44-440044-4-4-44-40004-444-40000-40000000000000000000000000000000000000000
χ544-44-44-4400-4-444-44-40004-4-4-44000040000000000000000000000000000000000000000
χ554-44-44-4-20044-4-42-22000-22-2-2200002000000000023−2323−2300000000000000000000000000
χ564-44-44-4-20044-4-42-22000-22-2-22000020000000000−2323−232300000000000000000000000000
χ574-44-44-4-200-4-4442-22000-2222-20000-20000−2i32i300−2i32i3000000000000000000000000000000
χ584-44-44-4-200-4-4442-22000-2222-20000-200002i3−2i3002i3−2i3000000000000000000000000000000
χ594-44-4-444004-4-44-44-4000-444-440000-40000000000000000000000000000000000000000
χ604-44-4-44400-444-4-44-4000-44-44-4000040000000000000000000000000000000000000000
χ614-44-4-44-2004-4-442-220002-2-22-200002000000000023−23−232300000000000000000000000000
χ624-44-4-44-2004-4-442-220002-2-22-2000020000000000−232323−2300000000000000000000000000
χ634-44-4-44-200-444-42-220002-22-220000-20000−2i32i3002i3−2i3000000000000000000000000000000
χ644-44-4-44-200-444-42-220002-22-220000-200002i3−2i300−2i32i3000000000000000000000000000000
χ6588-8-800-48-80000-44400000000-440000000000000000000000000000000000000000000
χ6688-8-800-4-880000-444000000004-40000000000000000000000000000000000000000000
χ678-8-88008000000-8-8800000000000000000000000000000000000000000000000000000
χ688-8-8800-400000044-40000000000−4i34i300000000000000000000000000000000000000000
χ698-8-8800-400000044-400000000004i3−4i300000000000000000000000000000000000000000

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