Finite Group Databasebeta

← Group #10943897

Character table — Group #10943897

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1111222222222222444444444444444444444888888888812121212121212121212121212121212161616161616161616161616242424244848
order12222234444446662222224444466661212121212126666612121212122222222244444444246688121224242424444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-1-1-11-1-1-1-111111111111-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1
χ6111111111111111111-1-1-1-11-1-1-1-111111111111-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
χ7111111111111111111-1-1-1-11-1-1-1-111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-1-1-11-1-1-1-111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111111111-1-1
χ91111111-1-11111111-1-111-1-1-111-1-111-1-111-1-111-111-1-1-111-1-1111111-1-1-1-1-1-111-1-11-1111-1-1-111-1-111-1-11-1
χ101111111-1-11111111-1-111-1-1-111-1-111-1-111-1-111-111-1-1-111-1-1111111-1-1-1-1-1-111-1-1-11-1-1-1111-1-111-1-111-11
χ111111111-1-11111111-1-111-1-1-111-1-111-1-111-1-111-111-1-1-111-1-1-1-1-1-1-1-1111111-1-1111-1111-1-1-111-1-1-1-111-11
χ121111111-1-11111111-1-111-1-1-111-1-111-1-111-1-111-111-1-1-111-1-1-1-1-1-1-1-1111111-1-111-11-1-1-1111-1-11111-1-11-1
χ131111111-1-11111111-1-1-1-111-1-1-11111-1-111-1-111-1-1-111-1-1-1111111-1-111-1-1-1-1-1-1111-111-11-1-1-1-11111-1-1-11
χ141111111-1-11111111-1-1-1-111-1-1-11111-1-111-1-111-1-1-111-1-1-1111111-1-111-1-1-1-1-1-111-11-1-11-11111-1-1-1-1111-1
χ151111111-1-11111111-1-1-1-111-1-1-11111-1-111-1-111-1-1-111-1-1-111-1-1-1-111-1-1111111-1-11-111-11-1-1-1-111-1-1111-1
χ161111111-1-11111111-1-1-1-111-1-1-11111-1-111-1-111-1-1-111-1-1-111-1-1-1-111-1-1111111-1-1-11-1-11-11111-1-111-1-1-11
χ17222222222-2-2-2-2222-2-200002000022-2-2-2-222-2-2-200002000022-2-2000022-2-20000000000000000000000
χ18222222222-2-2-2-2222-2-200002000022-2-2-2-222-2-2-2000020000-2-2220000-2-2220000000000000000000000
χ192222222-2-2-2-2-2-2222220000-200002222-2-2-2-2-2-220000-2000022-2-20000-2-2220000000000000000000000
χ202222222-2-2-2-2-2-2222220000-200002222-2-2-2-2-2-220000-20000-2-222000022-2-20000000000000000000000
χ21222222-1222222-1-1-122222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000022-1-122-1-1-1-1-1-1000000
χ22222222-1222222-1-1-122222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-211-2-2111111000000
χ23222222-1222222-1-1-122-2-2-2-22-2-2-2-2-1-1-1-1-1-1-1-1-1-1-11111-11111000000000000000022-1-1-2-2-1-11111000000
χ24222222-1222222-1-1-122-2-2-2-22-2-2-2-2-1-1-1-1-1-1-1-1-1-1-11111-111110000000000000000-2-2112211-1-1-1-1000000
χ25222222-1-2-22222-1-1-1-2-222-2-2-222-2-2-1-111-1-111-1-11-1-1111-1-11100000000000000002-2-1-12-211-1-111000000
χ26222222-1-2-22222-1-1-1-2-222-2-2-222-2-2-1-111-1-111-1-11-1-1111-1-1110000000000000000-2211-22-1-111-1-1000000
χ27222222-1-2-22222-1-1-1-2-2-2-222-2-2-222-1-111-1-111-1-1111-1-1111-1-100000000000000002-2-1-1-221111-1-1000000
χ28222222-1-2-22222-1-1-1-2-2-2-222-2-2-222-1-111-1-111-1-1111-1-1111-1-10000000000000000-22112-2-1-1-1-111000000
χ292222-2-222222-2-22222-222-2-2-2-2-222-2-2-2-2-2-22222222-2-2-2-2-2220000000000000000000000000000000000
χ302222-2-222222-2-22222-2-2-222-222-2-2-2-2-2-2-2-222222-2-222-222-2-20000000000000000000000000000000000
χ312222-2-2222-2-222222-220000-20000-2-2222222-2-2-20000-20000000022-2-20000-2-222000000000000000000
χ322222-2-2222-2-222222-220000-20000-2-2222222-2-2-20000-200000000-2-222000022-2-2000000000000000000
χ332222-2-22-2-222-2-2222-2222222-2-2-2-2-2-222-2-2-2-222-222222-2-2-2-20000000000000000000000000000000000
χ342222-2-22-2-222-2-2222-22-2-2-2-222222-2-222-2-2-2-222-2-2-2-2-2222220000000000000000000000000000000000
χ352222-2-22-2-2-2-2222222-2000020000-2-2-2-222-2-2-2-22000020000000022220000-2-2-2-2000000000000000000
χ362222-2-22-2-2-2-2222222-2000020000-2-2-2-222-2-2-2-220000200000000-2-2-2-200002222000000000000000000
χ372222-2-2-12222-2-2-1-1-12-222-2-2-2-2-222111111-1-1-1-1-1-1-111111-1-1000000000000000000−i3i300−i3i3−i3i3−i3i3000000
χ382222-2-2-12222-2-2-1-1-12-222-2-2-2-2-222111111-1-1-1-1-1-1-111111-1-1000000000000000000i3−i300i3−i3i3−i3i3−i3000000
χ392222-2-2-12222-2-2-1-1-12-2-2-222-222-2-2111111-1-1-1-1-111-1-11-1-111000000000000000000−i3i300−i3i3i3−i3i3−i3000000
χ402222-2-2-12222-2-2-1-1-12-2-2-222-222-2-2111111-1-1-1-1-111-1-11-1-111000000000000000000i3−i300i3−i3−i3i3−i3i3000000
χ412222-2-2-1-2-222-2-2-1-1-1-2222222-2-2-2-211-1-11111-1-11-1-1-1-1-11111000000000000000000−i3i300i3−i3−i3i3i3−i3000000
χ422222-2-2-1-2-222-2-2-1-1-1-2222222-2-2-2-211-1-11111-1-11-1-1-1-1-11111000000000000000000i3−i300−i3i3i3−i3−i3i3000000
χ432222-2-2-1-2-222-2-2-1-1-1-22-2-2-2-22222211-1-11111-1-111111-1-1-1-1-1000000000000000000−i3i300i3−i3i3−i3−i3i3000000
χ442222-2-2-1-2-222-2-2-1-1-1-22-2-2-2-22222211-1-11111-1-111111-1-1-1-1-1000000000000000000i3−i300−i3i3−i3i3i3−i3000000
χ452-2-222-22002-22-2-2-2200002-20002-22-2002-2002-20002-20002-200002-2002-22-22-200000000000000000000
χ462-2-222-22002-22-2-2-2200002-20002-22-2002-2002-20002-20002-20000-2200-22-22-2200000000000000000000
χ472-2-222-22002-22-2-2-220000-22000-222-2002-2002-2000-22000-2200002-200-22-222-200000000000000000000
χ482-2-222-22002-22-2-2-220000-22000-222-2002-2002-2000-22000-220000-22002-22-2-2200000000000000000000
χ492-2-222-2200-22-22-2-22002-20002-2002-200-2200-2202-20002-2000000002-22-2-22002-2000000000000000000
χ502-2-222-2200-22-22-2-22002-20002-2002-200-2200-2202-20002-200000000-22-222-200-22000000000000000000
χ512-2-222-2200-22-22-2-2200-22000-22002-200-2200-220-22000-22000000002-2-222-2002-2000000000000000000
χ522-2-222-2200-22-22-2-2200-22000-22002-200-2200-220-22000-2200000000-222-2-2200-22000000000000000000
χ532-2-22-222002-2-22-2-2200002-2000-22-2200-22002-20002-2000-222-22-2002-2000000-22000000000000000000
χ542-2-22-222002-2-22-2-2200002-2000-22-2200-22002-20002-2000-22-22-2200-220000002-2000000000000000000
χ552-2-22-222002-2-22-2-220000-220002-2-2200-22002-2000-220002-22-22-200-220000002-2000000000000000000
χ562-2-22-222002-2-22-2-220000-220002-2-2200-22002-2000-220002-2-22-22002-2000000-22000000000000000000
χ572-2-22-22200-222-2-2-22002-2000-2200-22002-200-2202-2000-22002-2-222-2000000-2200000000000000000000
χ582-2-22-22200-222-2-2-22002-2000-2200-22002-200-2202-2000-2200-222-2-220000002-200000000000000000000
χ592-2-22-22200-222-2-2-2200-220002-200-22002-200-220-220002-2002-2-22-220000002-200000000000000000000
χ602-2-22-22200-222-2-2-2200-220002-200-22002-200-220-220002-200-222-22-2000000-2200000000000000000000
χ61444444-244-4-4-4-4-2-2-2-4-4000040000-2-22222-2-22220000-200000000000000000000000000000000000000
χ62444444-2-4-4-4-4-4-4-2-2-2440000-40000-2-2-2-2222222-20000200000000000000000000000000000000000000
χ634444-4-4-244-4-444-2-2-2-440000-4000022-2-2-2-2-2-22220000200000000000000000000000000000000000000
χ644444-4-4-2-4-4-4-444-2-2-24-40000400002222-2-22222-20000-200000000000000000000000000000000000000
χ6544-4-40044i−4i00004-4-4000000000000000004i−4i00000000000000000000000000000000000000002-22i−2i00
χ6644-4-40044i−4i00004-4-4000000000000000004i−4i0000000000000000000000000000000000000000-22−2i2i00
χ6744-4-4004−4i4i00004-4-400000000000000000−4i4i00000000000000000000000000000000000000002-2−2i2i00
χ6844-4-4004−4i4i00004-4-400000000000000000−4i4i0000000000000000000000000000000000000000-222i−2i00
χ694-4-444-4-2004-44-422-200004-40004-4-2200-2200-22000-22000-220000000000000000000000000000000000
χ704-4-444-4-2004-44-422-20000-44000-44-2200-2200-220002-20002-20000000000000000000000000000000000
χ714-4-444-4-200-44-4422-2004-40004-400-22002-2002-20-22000-22000000000000000000000000000000000000
χ724-4-444-4-200-44-4422-200-44000-4400-22002-2002-202-20002-2000000000000000000000000000000000000
χ734-4-44-44-2004-4-4422-200004-4000-442-2002-200-22000-220002-20000000000000000000000000000000000
χ744-4-44-44-2004-4-4422-20000-440004-42-2002-200-220002-2000-220000000000000000000000000000000000
χ754-4-44-44-200-444-422-2004-4000-44002-200-22002-20-220002-2000000000000000000000000000000000000
χ764-4-44-44-200-444-422-200-440004-4002-200-22002-202-2000-22000000000000000000000000000000000000
χ7788-8-800-48i−8i0000-44400000000000000000−4i4i0000000000000000000000000000000000000000000000
χ7888-8-800-4−8i8i0000-444000000000000000004i−4i0000000000000000000000000000000000000000000000
χ798-88-8008000000-88-800000000000000000000000000000000000000000000000000000000000000000
χ808-88-800-40000004-440000000000000−4i34i300000000000000000000000000000000000000000000000000
χ818-88-800-40000004-4400000000000004i3−4i300000000000000000000000000000000000000000000000000

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