Finite Group Databasebeta

← Group #10829882

Character table — Group #10829882

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222222222444444444444448888888888888888881212121216161616161616161616242424242424242424244848
order1222223444466644446612121212121212122244444466661212121212124444881212121224242424222244444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ411111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-1-1-1
χ61111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111111-1-1
χ911111111111111-1-1-1-111111-1-1-1-1111-1-11-11-11111-1-1-1-1-1-111111-11-11-111-1-1-1-11-11-111-1-11-1
χ1011111111111111-1-1-1-111111-1-1-1-1111-1-11-11-11111-1-1-1-1-1-1-1-1-1-11-11-11-111-1-111-11-11-1-111-11
χ1111111111111111-1-1-1-111111-1-1-1-1111-1-1-11-111111-1-1-1-1-1-11111-11-11-11-1-111-1-1-11-1111-1-1-11
χ1211111111111111-1-1-1-111111-1-1-1-1111-1-1-11-111111-1-1-1-1-1-1-1-1-1-1-11-11-11-1-111111-11-1-1-1111-1
χ1311111111111111-1-1-1-111111-1-1-1-11-1-1111-11-1-1-1-1-1-1-111111111-111-11-1-1-111-1-11-11-1-1-111-11
χ1411111111111111-1-1-1-111111-1-1-1-11-1-1111-11-1-1-1-1-1-1-11111-1-1-1-1-111-11-1-1-11111-11-1111-1-11-1
χ1511111111111111-1-1-1-111111-1-1-1-11-1-111-11-11-1-1-1-1-1-1111111111-1-11-1111-1-1-1-1-11-11-1-1111-1
χ1611111111111111-1-1-1-111111-1-1-1-11-1-111-11-11-1-1-1-1-1-11111-1-1-1-11-1-11-1111-1-1111-11-111-1-1-11
χ172222222-2-2-2-222222-2-222-2-2-22222-2000000000000-2-2000022-2-200000000002-20000000000
χ182222222-2-2-2-222222-2-222-2-2-22222-2000000000000-2-20000-2-2220000000000-220000000000
χ192222222-2-2-2-2222-2-22222-2-2-2-2-2-2-2-200000000000022000022-2-20000000000-220000000000
χ202222222-2-2-2-2222-2-22222-2-2-2-2-2-2-2-2000000000000220000-2-22200000000002-20000000000
χ21222222-12222-1-1-12222-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1000022-1-1-1-1-1-1-1-1000000000000
χ22222222-12222-1-1-12222-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-10000-2-211111111000000000000
χ23222222-12222-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-222221111-1-111110000-2-2-1-1-1-11111000000000000
χ24222222-12222-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111-1-111110000221111-1-1-1-1000000000000
χ25222222-12222-1-1-1-2-2-2-2-1-1-1-1-11111-122-2-22-22-2-1-1-1-111111100002-2-11-11-1-111000000000000
χ26222222-12222-1-1-1-2-2-2-2-1-1-1-1-11111-122-2-2-22-22-1-1-1-11111110000-221-11-111-1-1000000000000
χ27222222-12222-1-1-1-2-2-2-2-1-1-1-1-11111-1-2-2222-22-2111111-1-1-1-10000-22-11-1111-1-1000000000000
χ28222222-12222-1-1-1-2-2-2-2-1-1-1-1-11111-1-2-222-22-22111111-1-1-1-100002-21-11-1-1-111000000000000
χ292222-2-222-22-22222-22-2-2-22-2-222-2-22000022-2-200002-20000000000-2-2220000000000000000
χ302222-2-222-22-22222-22-2-2-22-2-222-2-220000-2-22200002-2000000000022-2-20000000000000000
χ312222-2-222-22-2222-22-22-2-22-2-2-2-222200002-2-220000-220000000000-222-20000000000000000
χ322222-2-222-22-2222-22-22-2-22-2-2-2-22220000-222-20000-2200000000002-2-220000000000000000
χ332222-2-22-22-222222-2-22-2-2-22222-2-2-2000000000000-22000000000000000000002-2-22000000
χ342222-2-22-22-222222-2-22-2-2-22222-2-2-2000000000000-2200000000000000000000-222-2000000
χ352222-2-22-22-22222-222-2-2-2-222-2-222-20000000000002-20000000000000000000022-2-2000000
χ362222-2-22-22-22222-222-2-2-2-222-2-222-20000000000002-200000000000000000000-2-222000000
χ372222-2-2-12-22-2-1-1-12-22-211-111-1-111-1000022-2-2−i3−i3i3i3-11−i3−i3i3i300000011-1-1−i3i3−i3i3000000000000
χ382222-2-2-12-22-2-1-1-12-22-211-111-1-111-1000022-2-2i3i3−i3−i3-11i3i3−i3−i300000011-1-1i3−i3i3−i3000000000000
χ392222-2-2-12-22-2-1-1-12-22-211-111-1-111-10000-2-222−i3−i3i3i3-11−i3−i3i3i3000000-1-111i3−i3i3−i3000000000000
χ402222-2-2-12-22-2-1-1-12-22-211-111-1-111-10000-2-222i3i3−i3−i3-11i3i3−i3−i3000000-1-111−i3i3−i3i3000000000000
χ412222-2-2-12-22-2-1-1-1-22-2211-11111-1-1-100002-2-22−i3−i3i3i31-1i3i3−i3−i30000001-1-11−i3i3i3−i3000000000000
χ422222-2-2-12-22-2-1-1-1-22-2211-11111-1-1-100002-2-22i3i3−i3−i31-1−i3−i3i3i30000001-1-11i3−i3−i3i3000000000000
χ432222-2-2-12-22-2-1-1-1-22-2211-11111-1-1-10000-222-2−i3−i3i3i31-1i3i3−i3−i3000000-111-1i3−i3−i3i3000000000000
χ442222-2-2-12-22-2-1-1-1-22-2211-11111-1-1-10000-222-2i3i3−i3−i31-1−i3−i3i3i3000000-111-1−i3i3i3−i3000000000000
χ452-22-22-222-2-222-2-200002-222-20000-22-20000002-22-20000002i−2i2i−2i00000000000000002i−2i0000
χ462-22-22-222-2-222-2-200002-222-20000-22-20000002-22-2000000−2i2i−2i2i0000000000000000−2i2i0000
χ472-22-22-222-2-222-2-200002-222-20000-2-22000000-22-220000002i−2i2i−2i0000000000000000−2i2i0000
χ482-22-22-222-2-222-2-200002-222-20000-2-22000000-22-22000000−2i2i−2i2i00000000000000002i−2i0000
χ492-22-22-22-222-22-2-200002-2-2-2200002002i−2i00000000002i−2i2i−2i2i−2i−2i2i0000000000000000002-200
χ502-22-22-22-222-22-2-200002-2-2-2200002002i−2i00000000002i−2i2i−2i−2i2i2i−2i000000000000000000-2200
χ512-22-22-22-222-22-2-200002-2-2-220000200−2i2i0000000000−2i2i−2i2i2i−2i−2i2i000000000000000000-2200
χ522-22-22-22-222-22-2-200002-2-2-220000200−2i2i0000000000−2i2i−2i2i−2i2i2i−2i0000000000000000002-200
χ53444444-2-4-4-4-4-2-2-244-4-4-2-2222-2-2-2-2200000000000022000000000000000000000000000000
χ54444444-2-4-4-4-4-2-2-2-4-444-2-222222222000000000000-2-2000000000000000000000000000000
χ554444-4-4-2-44-44-2-2-24-4-44222-2-2-2-22220000000000002-2000000000000000000000000000000
χ564444-4-4-2-44-44-2-2-2-444-4222-2-222-2-22000000000000-22000000000000000000000000000000
χ574-44-44-4-24-4-44-2220000-22-2-22000024-4000000-22-2200000000000000000000000000000000
χ584-44-44-4-24-4-44-2220000-22-2-2200002-440000002-22-200000000000000000000000000000000
χ594-44-44-4-2-444-4-2220000-2222-20000-2004i−4i0000000000−2i2i−2i2i00000000000000000000000000
χ604-44-44-4-2-444-4-2220000-2222-20000-200−4i4i00000000002i−2i2i−2i00000000000000000000000000
χ614-44-4-44444-4-44-4-40000-444-440000-400000000000000000000000000000000000000000000
χ624-44-4-444-4-4444-4-40000-44-44-40000400000000000000000000000000000000000000000000
χ634-44-4-44-244-4-4-22200002-2-22-20000200000000−2i32i32i3−2i300000000000000000000000000000000
χ644-44-4-44-244-4-4-22200002-2-22-200002000000002i3−2i3−2i32i300000000000000000000000000000000
χ654-44-4-44-2-4-444-22200002-22-220000-20000000000000023−23−232300000000000000000000000000
χ664-44-4-44-2-4-444-22200002-22-220000-200000000000000−232323−2300000000000000000000000000
χ6788-8-80080000-8-880000000000000000000000000000000000000000000000000000000000
χ6888-8-800-4000044-4000000000−4i34i300000000000000000000000000000000000000000000000
χ6988-8-800-4000044-40000000004i3−4i300000000000000000000000000000000000000000000000
χ708-8-880080000-88-80000000000000000000000000000000000000000000000000000000000
χ718-8-8800-400004-440000000000043−43000000000000000000000000000000000000000000000
χ728-8-8800-400004-4400000000000−4343000000000000000000000000000000000000000000000

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