Finite Group Databasebeta

← Group #10829791

Character table — Group #10829791

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size1111222222222222444444444444488888888888888888812121212161616161616161616162424242424242424242424242424
order122222344444466644466121212121212121222444444121212121212121212124444668812122424242424444444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ611111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ711111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-11111-1-1-1-1
χ811111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-11111
χ91111111-1-11111111-1-1-111-1-1-1-111111-11-111-1-1-1-1-1-1-1-1111111111-11-11-111-1-1-1-111-1-111-1-111-1-1
χ101111111-1-11111111-1-1-111-1-1-1-111111-11-111-1-1-1-1-1-1-1-11111-1-1-1-11-11-11-111-1-111-1-111-1-111-1-111
χ111111111-1-11111111-1-1-111-1-1-1-111111-11-1-1-111-1-11111-1-1-1-111111-1-111-1-1-111-1-111-1-1-1-111-1-111
χ121111111-1-11111111-1-1-111-1-1-1-111111-11-1-1-111-1-11111-1-1-1-1-1-1-1-11-1-111-1-1-11111-1-11111-1-111-1-1
χ131111111-1-11111111-1-1-111-1-1-1-11111-11-1111-1-1-1-1-1-1-1-111111111-11-11-11-1-111-1-1-1-111-1-11111-1-1
χ141111111-1-11111111-1-1-111-1-1-1-11111-11-1111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-11-1-1111111-1-111-1-1-1-111
χ151111111-1-11111111-1-1-111-1-1-1-11111-11-11-1-111-1-11111-1-1-1-11111-111-1-1111-1-1-1-1-1-11111-1-1-1-111
χ161111111-1-11111111-1-1-111-1-1-1-11111-11-11-1-111-1-11111-1-1-1-1-1-1-1-1-111-1-1111-1-11111-1-1-1-11111-1-1
χ17222222222-2-2-2-22222-2-2222222-2-2-2-200000000-2-20000000000000000000000002-22-200000000
χ18222222222-2-2-2-22222-2-2222222-2-2-2-200000000-2-2000000000000000000000000-22-2200000000
χ192222222-2-2-2-2-2-2222-22222-2-2-2-2-2-2-2-200000000220000000000000000000000002-2-2200000000
χ202222222-2-2-2-2-2-2222-22222-2-2-2-2-2-2-2-20000000022000000000000000000000000-222-200000000
χ21222222-1222222-1-1-1222-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-10000-1-122-1-1-1-1-1-100000000000000
χ22222222-1222222-1-1-1222-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-1-1111111110000-1-1-2-2-1-1111100000000000000
χ23222222-1222222-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1000011-2-211111100000000000000
χ24222222-1222222-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1111111110000112211-1-1-1-100000000000000
χ25222222-1-2-22222-1-1-1-2-2-2-1-11111-1-1-1-12-22-222-2-2111111-1-1-1-10000-112-2-11-1-11100000000000000
χ26222222-1-2-22222-1-1-1-2-2-2-1-11111-1-1-1-12-22-2-2-22211-1-1-1-111110000-11-22-1111-1-100000000000000
χ27222222-1-2-22222-1-1-1-2-2-2-1-11111-1-1-1-1-22-2222-2-2111111-1-1-1-100001-1-221-111-1-100000000000000
χ28222222-1-2-22222-1-1-1-2-2-2-1-11111-1-1-1-1-22-22-2-22211-1-1-1-1111100001-12-21-1-1-11100000000000000
χ292222-2-222222-2-2222-22-2-2-222-2-22-2-2222-2-200002-20000000000002200-2-2000000000000000000
χ302222-2-222222-2-2222-22-2-2-222-2-22-2-22-2-22200002-2000000000000-2-20022000000000000000000
χ312222-2-2222-2-222222-2-22-2-222-2-2-222-200000000-220000000022-2-200000000002-2000000000000
χ322222-2-2222-2-222222-2-22-2-222-2-2-222-200000000-2200000000-2-2220000000000-22000000000000
χ332222-2-22-2-222-2-22222-22-2-2-2-2222-2-222-2-220000-220000000000002-200-22000000000000000000
χ342222-2-22-2-222-2-22222-22-2-2-2-2222-2-22-222-20000-22000000000000-22002-2000000000000000000
χ352222-2-22-2-2-2-22222222-2-2-2-2-222-222-2000000002-20000000022-2-20000000000-22000000000000
χ362222-2-22-2-2-2-22222222-2-2-2-2-222-222-2000000002-200000000-2-22200000000002-2000000000000
χ372222-2-2-12222-2-2-1-1-1-22-211-1-111-111-122-2-20000-11−i3−i3i3i3−i3−i3i3i30000-1-10011−i3i3−i3i300000000000000
χ382222-2-2-12222-2-2-1-1-1-22-211-1-111-111-122-2-20000-11i3i3−i3−i3i3i3−i3−i30000-1-10011i3−i3i3−i300000000000000
χ392222-2-2-12222-2-2-1-1-1-22-211-1-111-111-1-2-2220000-11−i3−i3i3i3−i3−i3i3i300001100-1-1i3−i3i3−i300000000000000
χ402222-2-2-12222-2-2-1-1-1-22-211-1-111-111-1-2-2220000-11i3i3−i3−i3i3i3−i3−i300001100-1-1−i3i3−i3i300000000000000
χ412222-2-2-1-2-222-2-2-1-1-12-221111-1-1-111-12-2-2200001-1−i3−i3i3i3i3i3−i3−i30000-11001-1i3−i3−i3i300000000000000
χ422222-2-2-1-2-222-2-2-1-1-12-221111-1-1-111-12-2-2200001-1i3i3−i3−i3−i3−i3i3i30000-11001-1−i3i3i3−i300000000000000
χ432222-2-2-1-2-222-2-2-1-1-12-221111-1-1-111-1-222-200001-1−i3−i3i3i3i3i3−i3−i300001-100-11−i3i3i3−i300000000000000
χ442222-2-2-1-2-222-2-2-1-1-12-221111-1-1-111-1-222-200001-1i3i3−i3−i3−i3−i3i3i300001-100-11i3−i3−i3i300000000000000
χ452-22-22-2200-222-2-2-220002-20000-22-2200002-2000000002-22-22i−2i2i−2i000000000000000000002i−2i00
χ462-22-22-2200-222-2-2-220002-20000-22-2200002-2000000002-22-2−2i2i−2i2i00000000000000000000−2i2i00
χ472-22-22-2200-222-2-2-220002-20000-22-220000-2200000000-22-222i−2i2i−2i00000000000000000000−2i2i00
χ482-22-22-2200-222-2-2-220002-20000-22-220000-2200000000-22-22−2i2i−2i2i000000000000000000002i−2i00
χ492-22-2-222002-22-2-2-22000-22000022-2-20000002i−2i002i−2i2i−2i00002i−2i−2i2i00000000000000000000002-2
χ502-22-2-222002-22-2-2-22000-22000022-2-20000002i−2i002i−2i2i−2i0000−2i2i2i−2i0000000000000000000000-22
χ512-22-2-222002-22-2-2-22000-22000022-2-2000000−2i2i00−2i2i−2i2i00002i−2i−2i2i0000000000000000000000-22
χ522-22-2-222002-22-2-2-22000-22000022-2-2000000−2i2i00−2i2i−2i2i0000−2i2i2i−2i00000000000000000000002-2
χ53444444-244-4-4-4-4-2-2-24-4-4-2-2-2-2-2-222220000000022000000000000000000000000000000000000
χ54444444-2-4-4-4-4-4-4-2-2-2-444-2-22222222200000000-2-2000000000000000000000000000000000000
χ554444-4-4-244-4-444-2-2-2-4-4422-2-2222-2-22000000002-2000000000000000000000000000000000000
χ564444-4-4-2-4-4-4-444-2-2-244-42222-2-22-2-2200000000-22000000000000000000000000000000000000
χ5744-4-40044-400004-4-4000004-4000000000000000000000000000000000000000000002-22-20000
χ5844-4-40044-400004-4-4000004-400000000000000000000000000000000000000000000-22-220000
χ5944-4-4004-4400004-4-400000-44000000000000000000000000000000000000000000002-2-220000
χ6044-4-4004-4400004-4-400000-4400000000000000000000000000000000000000000000-222-20000
χ614-44-44-44004-4-44-4-440004-400004-44-40000000000000000000000000000000000000000000000
χ624-44-44-4-2004-4-4422-2000-220000-22-22000000000023−23−232300000000000000000000000000000000
χ634-44-44-4-2004-4-4422-2000-220000-22-220000000000−232323−2300000000000000000000000000000000
χ644-44-44-4-200-444-422-2000-2200002-22-200004-400000000-22-220000000000000000000000000000
χ654-44-44-4-200-444-422-2000-2200002-22-20000-44000000002-22-20000000000000000000000000000
χ664-44-4-44400-44-44-4-44000-440000-4-4440000000000000000000000000000000000000000000000
χ674-44-4-44-2004-44-422-20002-20000-2-2220000004i−4i00−2i2i−2i2i00000000000000000000000000000000
χ684-44-4-44-2004-44-422-20002-20000-2-222000000−4i4i002i−2i2i−2i00000000000000000000000000000000
χ694-44-4-44-200-44-4422-20002-2000022-2-200000000000000−2i32i32i3−2i30000000000000000000000000000
χ704-44-4-44-200-44-4422-20002-2000022-2-2000000000000002i3−2i3−2i32i30000000000000000000000000000
χ7188-8-800-48-80000-44400000-440000000000000000000000000000000000000000000000000000
χ7288-8-800-4-880000-444000004-40000000000000000000000000000000000000000000000000000
χ738-8-88008000000-88-800000000000000000000000000000000000000000000000000000000000
χ748-8-8800-40000004-44000000043−4300000000000000000000000000000000000000000000000000
χ758-8-8800-40000004-440000000−434300000000000000000000000000000000000000000000000000

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