Finite Group Databasebeta

← Group #10828049

Character table — Group #10828049

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size1111222222222222444444444444488888888888888888812121212161616161616161616162424242424242424242424242424
order122222223444466624466666612121212244444441212121212121212121222446881212122424242422244444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-11111
χ611111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111111-1-1-1-1
χ711111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-111-1-1-111111-1-11-1-11111-1-1-1-1
χ811111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-111-111-1-1-1-11111
χ91111-1-11111111111-1-1-111-1-1-1-111111-11-111-1-1-1-11111-1-1-1-1111111-1-11-111-1-1-111-1-1-111-1-111-1-1
χ101111-1-11111111111-1-1-111-1-1-1-111111-11-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11-111-1-11-1-1111-1-111-1-111
χ111111-1-11111111111-1-1-111-1-1-1-111111-11-1-1-111-1-1-1-1-1-1111111111-11-11-1-1-111-111-1-1-1-1-111-1-111
χ121111-1-11111111111-1-1-111-1-1-1-111111-11-1-1-111-1-1-1-1-1-11111-1-1-1-11-11-11-1-1-1111-1-111111-1-111-1-1
χ131111-1-11111111111-1-1-111-1-1-1-11111-11-1111-1-1-1-11111-1-1-1-11111-1-111-11-1-111-1-1-1-111-1-11111-1-1
χ141111-1-11111111111-1-1-111-1-1-1-11111-11-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-11-1-1111111-1-111-1-1-1-111
χ151111-1-11111111111-1-1-111-1-1-1-11111-11-11-1-111-1-1-1-1-1-111111111-11-11-1111-1-1-1-1-1-11111-1-1-1-111
χ161111-1-11111111111-1-1-111-1-1-1-11111-11-11-1-111-1-1-1-1-1-11111-1-1-1-1-11-11-1111-1-11111-1-1-1-11111-1-1
χ17222222222-2-2-2-22222-2-2222222-2-2-2-200000000-2-2000000000000000000000002-202-200000000
χ18222222222-2-2-2-22222-2-2222222-2-2-2-200000000-2-200000000000000000000000-220-2200000000
χ1922222222-12222-1-1-1222-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-10000-122-1-1-1-1-1-1-100000000000000
χ2022222222-12222-1-1-1222-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-1-1111111110000-1-2-2-1-1-1111100000000000000
χ2122222222-12222-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-100001-2-2111111100000000000000
χ2222222222-12222-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1111111110000122111-1-1-1-100000000000000
χ23222222-2-222-2-22222-22-2-2-222-2-222-2-2000000002-20000000022-2-20000000000200-20000000000
χ24222222-2-222-2-22222-22-2-2-222-2-222-2-2000000002-200000000-2-2220000000000-20020000000000
χ25222222-2-22-222-2222-2-22-2-222-2-2-2-2222-2-220000-22000000000000200-2-22000000000000000000
χ26222222-2-22-222-2222-2-22-2-222-2-2-2-222-222-20000-22000000000000-20022-2000000000000000000
χ27222222-2-2-1-222-2-1-1-1-2-2211-1-11111-1-12-2-2200001-1−i3−i3i3i3−i3−i3i3i30000-10011-1−i3i3−i3i300000000000000
χ28222222-2-2-1-222-2-1-1-1-2-2211-1-11111-1-12-2-2200001-1i3i3−i3−i3i3i3−i3−i30000-10011-1i3−i3i3−i300000000000000
χ29222222-2-2-1-222-2-1-1-1-2-2211-1-11111-1-1-222-200001-1−i3−i3i3i3−i3−i3i3i30000100-1-11i3−i3i3−i300000000000000
χ30222222-2-2-1-222-2-1-1-1-2-2211-1-11111-1-1-222-200001-1i3i3−i3−i3i3i3−i3−i30000100-1-11−i3i3−i3i300000000000000
χ312222-2-2222-2-2-2-2222-22222-2-2-2-2-2-2-2-20000000022000000000000000000000002-20-2200000000
χ322222-2-2222-2-2-2-2222-22222-2-2-2-2-2-2-2-2000000002200000000000000000000000-2202-200000000
χ332222-2-222-12222-1-1-1-2-2-2-1-11111-1-1-1-12-22-222-2-211-1-1-1-111110000-12-21-11-1-11100000000000000
χ342222-2-222-12222-1-1-1-2-2-2-1-11111-1-1-1-12-22-2-2-222111111-1-1-1-10000-1-221-1111-1-100000000000000
χ352222-2-222-12222-1-1-1-2-2-2-1-11111-1-1-1-1-22-2222-2-211-1-1-1-1111100001-22-11-111-1-100000000000000
χ362222-2-222-12222-1-1-1-2-2-2-1-11111-1-1-1-1-22-22-2-222111111-1-1-1-1000012-2-11-1-1-11100000000000000
χ372222-2-2-2-222-2-222222-22-2-2-2-22222-2-200000000-220000000022-2-20000000000-20020000000000
χ382222-2-2-2-222-2-222222-22-2-2-2-22222-2-200000000-2200000000-2-2220000000000200-20000000000
χ392222-2-2-2-22-222-222222-2-2-2-2-222-2-22222-2-200002-20000000000002002-2-2000000000000000000
χ402222-2-2-2-22-222-222222-2-2-2-2-222-2-222-2-22200002-2000000000000-200-222000000000000000000
χ412222-2-2-2-2-1-222-2-1-1-122-21111-1-111-1-122-2-20000-11−i3−i3i3i3i3i3−i3−i30000-100-111−i3i3i3−i300000000000000
χ422222-2-2-2-2-1-222-2-1-1-122-21111-1-111-1-122-2-20000-11i3i3−i3−i3−i3−i3i3i30000-100-111i3−i3−i3i300000000000000
χ432222-2-2-2-2-1-222-2-1-1-122-21111-1-111-1-1-2-2220000-11−i3−i3i3i3i3i3−i3−i300001001-1-1i3−i3−i3i300000000000000
χ442222-2-2-2-2-1-222-2-1-1-122-21111-1-111-1-1-2-2220000-11i3i3−i3−i3−i3−i3i3i300001001-1-1−i3i3i3−i300000000000000
χ452-22-2002-2222-2-2-22-20002-200002-22-20000002i−2i0000002i−2i2i−2i2-22-200000000000000000000002i−2i
χ462-22-2002-2222-2-2-22-20002-200002-22-20000002i−2i0000002i−2i2i−2i-22-220000000000000000000000−2i2i
χ472-22-2002-2222-2-2-22-20002-200002-22-2000000−2i2i000000−2i2i−2i2i2-22-20000000000000000000000−2i2i
χ482-22-2002-2222-2-2-22-20002-200002-22-2000000−2i2i000000−2i2i−2i2i-22-2200000000000000000000002i−2i
χ492-22-200-2222-22-2-22-2000-2200002-2-2200002i−2i00002i−2i2i−2i00002-2-22000000000000000000002i−2i00
χ502-22-200-2222-22-2-22-2000-2200002-2-2200002i−2i00002i−2i2i−2i0000-222-200000000000000000000−2i2i00
χ512-22-200-2222-22-2-22-2000-2200002-2-220000−2i2i0000−2i2i−2i2i00002-2-2200000000000000000000−2i2i00
χ522-22-200-2222-22-2-22-2000-2200002-2-220000−2i2i0000−2i2i−2i2i0000-222-2000000000000000000002i−2i00
χ5344444444-2-4-4-4-4-2-2-24-4-4-2-2-2-2-2-222220000000022000000000000000000000000000000000000
χ54444444-4-4-24-4-44-2-2-2-44-422-2-222-2-22200000000-22000000000000000000000000000000000000
χ554444-4-444-2-4-4-4-4-2-2-2-444-2-22222222200000000-2-2000000000000000000000000000000000000
χ564444-4-4-4-4-24-4-44-2-2-24-442222-2-2-2-222000000002-2000000000000000000000000000000000000
χ574-44-4004-44-4-444-44-40004-40000-44-440000000000000000000000000000000000000000000000
χ584-44-4004-4-244-4-42-22000-220000-22-220000004i−4i000000−2i2i−2i2i0000000000000000000000000000
χ594-44-4004-4-244-4-42-22000-220000-22-22000000−4i4i0000002i−2i2i−2i0000000000000000000000000000
χ604-44-4004-4-2-4-4442-22000-2200002-22-2000000000023−23−232300000000000000000000000000000000
χ614-44-4004-4-2-4-4442-22000-2200002-22-20000000000−232323−2300000000000000000000000000000000
χ624-44-400-444-44-44-44-4000-440000-444-40000000000000000000000000000000000000000000000
χ634-44-400-44-24-44-42-220002-20000-222-200004i−4i0000−2i2i−2i2i00000000000000000000000000000000
χ644-44-400-44-24-44-42-220002-20000-222-20000−4i4i00002i−2i2i−2i00000000000000000000000000000000
χ654-44-400-44-2-44-442-220002-200002-2-220000000000000023−23−23230000000000000000000000000000
χ664-44-400-44-2-44-442-220002-200002-2-2200000000000000−232323−230000000000000000000000000000
χ674-4-444-40040000-4-44000004-4000000000000000000000000000000000000000000002-22-20000
χ684-4-444-40040000-4-44000004-400000000000000000000000000000000000000000000-22-220000
χ694-4-44-440040000-4-4400000-44000000000000000000000000000000000000000000002-2-220000
χ704-4-44-440040000-4-4400000-4400000000000000000000000000000000000000000000-222-20000
χ7188-8-80000800008-8-800000000000000000000000000000000000000000000000000000000000
χ7288-8-80000-40000-4440000000−4i34i300000000000000000000000000000000000000000000000000
χ7388-8-80000-40000-44400000004i3−4i300000000000000000000000000000000000000000000000000
χ748-8-888-800-4000044-400000-440000000000000000000000000000000000000000000000000000
χ758-8-88-8800-4000044-4000004-40000000000000000000000000000000000000000000000000000

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