Finite Group Databasebeta

← Group #10848679

Character table — Group #10848679

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222222222444444444444448888888888888888881212121216161616161616161616242424242424242424244848
order12222234444666444466121212121212121244448888121224242424242424244444441212121212121212222444444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11-1-11-1-11111-1-1
χ61111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111111-1-11-1-1-1-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-111-1111111-1-1
χ911111111111111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-111111-111-1-111-1-1-111-1-1-111-1-11-1
χ1011111111111111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-111-1-11-1-1111-1-111-11
χ1111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111111111-1111-1-1-1-111-111-1-1-1-1-111-11
χ1211111111111111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1111-1-1-1-1111-1-111111-1-11-1
χ1311111111111111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-11111-11-1-111-1-111-1-1-1-11111-1-1-11
χ1411111111111111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-111-1-1111111-1-1-1-1111-1
χ1511111111111111-1-1-1-111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1111111111-1-1-11111-1-1-1-1-1-111-1-1111-1
χ1611111111111111-1-1-1-111-1-1-1-11111-1-111-1-111-1-1-1-1-1-11111-1-1-1-11-1-1-11111-1-11111-1-111-1-1-11
χ172222222-2-2-2-222222-2-22222-2-2-2-2-2-2000000002-2000000000000000000000002-202-2000000
χ182222222-2-2-2-222222-2-22222-2-2-2-2-2-2000000002-200000000000000000000000-220-22000000
χ192222222-2-2-2-2222-2-22222-2-222-2-2-2-200000000-22000000000000000000000002-20-22000000
χ202222222-2-2-2-2222-2-22222-2-222-2-2-2-200000000-2200000000000000000000000-2202-2000000
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
χ22222222-12222-1-1-12222-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-1-1111111110000-2-2-1-1-1-11111000000000000
χ23222222-12222-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-10000-2-211111111000000000000
χ24222222-12222-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1111111110000221111-1-1-1-1000000000000
χ25222222-12222-1-1-1-2-2-2-2-1-11111-1-1-1-122-2-222-2-211-1-1-1-1111100002-2-1-111-1-111000000000000
χ26222222-12222-1-1-1-2-2-2-2-1-11111-1-1-1-122-2-2-2-222111111-1-1-1-10000-22-1-11111-1-1000000000000
χ27222222-12222-1-1-1-2-2-2-2-1-11111-1-1-1-1-2-22222-2-211-1-1-1-111110000-2211-1-111-1-1000000000000
χ28222222-12222-1-1-1-2-2-2-2-1-11111-1-1-1-1-2-222-2-222111111-1-1-1-100002-211-1-1-1-111000000000000
χ292222-2-222-2-222222-22-2-2-222-2-222-2-200000000-220000000022-2-20000000000200-200000000
χ302222-2-222-2-222222-22-2-2-222-2-222-2-200000000-2200000000-2-2220000000000-200200000000
χ312222-2-222-2-22222-22-22-2-2-2-22222-2-2000000002-20000000022-2-20000000000-200200000000
χ322222-2-222-2-22222-22-22-2-2-2-22222-2-2000000002-200000000-2-2220000000000200-200000000
χ332222-2-22-222-22222-2-22-2-22222-2-2222-22-20000-2-2000000000000002-22-20000000000000000
χ342222-2-22-222-22222-2-22-2-22222-2-222-22-220000-2-200000000000000-22-220000000000000000
χ352222-2-22-222-2222-222-2-2-2-2-2-2-2-2-2222-2-22000022000000000000002-2-220000000000000000
χ362222-2-22-222-2222-222-2-2-2-2-2-2-2-2-222-222-200002200000000000000-222-20000000000000000
χ372222-2-2-1-222-2-1-1-12-2-2211-1-1-1-111-1-12-22-2000011−i3−i3i3i3−i3−i3i3i3000000-11-11−i3i3−i3i3000000000000
χ382222-2-2-1-222-2-1-1-12-2-2211-1-1-1-111-1-12-22-2000011i3i3−i3−i3i3i3−i3−i3000000-11-11i3−i3i3−i3000000000000
χ392222-2-2-1-222-2-1-1-12-2-2211-1-1-1-111-1-1-22-22000011−i3−i3i3i3−i3−i3i3i30000001-11-1i3−i3i3−i3000000000000
χ402222-2-2-1-222-2-1-1-12-2-2211-1-1-1-111-1-1-22-22000011i3i3−i3−i3i3i3−i3−i30000001-11-1−i3i3−i3i3000000000000
χ412222-2-2-1-222-2-1-1-1-222-211111111-1-12-2-220000-1-1−i3−i3i3i3i3i3−i3−i3000000-111-1−i3i3i3−i3000000000000
χ422222-2-2-1-222-2-1-1-1-222-211111111-1-12-2-220000-1-1i3i3−i3−i3−i3−i3i3i3000000-111-1i3−i3−i3i3000000000000
χ432222-2-2-1-222-2-1-1-1-222-211111111-1-1-222-20000-1-1−i3−i3i3i3i3i3−i3−i30000001-1-11i3−i3−i3i3000000000000
χ442222-2-2-1-222-2-1-1-1-222-211111111-1-1-222-20000-1-1i3i3−i3−i3−i3−i3i3i30000001-1-11−i3i3i3−i3000000000000
χ452-2-222-2222-2-2-2-2200002-200002-22-20000002i−2i0000002i−2i2i−2i2i−2i2i−2i0000000000000000002-200
χ462-2-222-2222-2-2-2-2200002-200002-22-20000002i−2i0000002i−2i2i−2i−2i2i−2i2i000000000000000000-2200
χ472-2-222-2222-2-2-2-2200002-200002-22-2000000−2i2i000000−2i2i−2i2i2i−2i2i−2i000000000000000000-2200
χ482-2-222-2222-2-2-2-2200002-200002-22-2000000−2i2i000000−2i2i−2i2i−2i2i−2i2i0000000000000000002-200
χ492-2-22-2222-22-2-2-220000-2200002-2-2200002i−2i00002i−2i2i−2i00002i−2i−2i2i00000000000000002-20000
χ502-2-22-2222-22-2-2-220000-2200002-2-2200002i−2i00002i−2i2i−2i0000−2i2i2i−2i0000000000000000-220000
χ512-2-22-2222-22-2-2-220000-2200002-2-220000−2i2i0000−2i2i−2i2i00002i−2i−2i2i0000000000000000-220000
χ522-2-22-2222-22-2-2-220000-2200002-2-220000−2i2i0000−2i2i−2i2i0000−2i2i2i−2i00000000000000002-20000
χ53444444-2-4-4-4-4-2-2-244-4-4-2-2-2-222222200000000-220000000000000000000000000000000000
χ54444444-2-4-4-4-4-2-2-2-4-444-2-222-2-22222000000002-20000000000000000000000000000000000
χ554444-4-4-24-4-44-2-2-24-44-422-2-222-2-222000000002-20000000000000000000000000000000000
χ564444-4-4-24-4-44-2-2-2-44-442222-2-2-2-22200000000-220000000000000000000000000000000000
χ574-4-444-44-4-444-4-4400004-40000-44-4400000000000000000000000000000000000000000000
χ584-4-444-4-244-4-422-20000-220000-22-220000004i−4i000000−2i2i−2i2i00000000000000000000000000
χ594-4-444-4-244-4-422-20000-220000-22-22000000−4i4i0000002i−2i2i−2i00000000000000000000000000
χ604-4-444-4-2-4-44422-20000-2200002-22-2000000000023−23−2323000000000000000000000000000000
χ614-4-444-4-2-4-44422-20000-2200002-22-20000000000−232323−23000000000000000000000000000000
χ624-4-44-444-44-44-4-440000-440000-444-400000000000000000000000000000000000000000000
χ634-4-44-44-24-44-422-200002-20000-222-200004i−4i0000−2i2i−2i2i000000000000000000000000000000
χ644-4-44-44-24-44-422-200002-20000-222-20000−4i4i00002i−2i2i−2i000000000000000000000000000000
χ654-4-44-44-2-44-4422-200002-200002-2-220000000000000023−23−232300000000000000000000000000
χ664-4-44-44-2-44-4422-200002-200002-2-2200000000000000−232323−2300000000000000000000000000
χ6788-8-800800008-8-80000000000000000000000000000000000000000000000000000000000
χ6888-8-800-40000-444000000−4i34i300000000000000000000000000000000000000000000000000
χ6988-8-800-40000-4440000004i3−4i300000000000000000000000000000000000000000000000000
χ708-88-80080000-88-80000000000000000000000000000000000000000000000000000000000
χ718-88-800-400004-4400000000−4i34i3000000000000000000000000000000000000000000000000
χ728-88-800-400004-44000000004i3−4i3000000000000000000000000000000000000000000000000

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