Finite Group Databasebeta

← Group #10944201

Character table — Group #10944201

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1111222222222222444444444444444444444888888888812121212121212121212121212121212161616161616161616161616242424244848
order1222223444444666224444444446612121212121212126612121212121212122244444444444444246688121224242424444488
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
χ51111111111111111-1-11-1-111-1-1-1-11111111111-1-111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111
χ61111111111111111-1-11-1-111-1-1-1-11111111111-1-111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111111111-1-1
χ71111111111111111-1-11-1-111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-111-1-1-1-11111-1-1
χ81111111111111111-1-11-1-111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-11111-1-1-1-111
χ91111111-1-1111111111-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111-1111-1-1-111-1-111-1-11-1
χ101111111-1-1111111111-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-11-1-1-1111-1-111-1-111-11
χ111111111-1-1111111111-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-11-1111-1-1-111-1-1-1-111-11
χ121111111-1-1111111111-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-11-1-1-1111-1-11111-1-11-1
χ131111111-1-11111111-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-11-111-11-1-1-1-111-1-1111-1
χ141111111-1-11111111-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1-11-1-11-11111-1-111-1-1-11
χ151111111-1-11111111-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111-111-11-1-1-1-11111-1-1-11
χ161111111-1-11111111-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-11-1-11-11111-1-1-1-1111-1
χ17222222222-2-2-2-222200200-2-200002222-2-2-2-2-2-2002-200000000000022-2-20022-2-2000000000000000000
χ18222222222-2-2-2-222200200-2-200002222-2-2-2-2-2-2002-2000000000000-2-22200-2-222000000000000000000
χ192222222-2-2-2-2-2-222200-20022000022-2-222-2-2-2-200-2200000000000022-2-200-2-222000000000000000000
χ202222222-2-2-2-2-2-222200-20022000022-2-222-2-2-2-200-22000000000000-2-2220022-2-2000000000000000000
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
χ23222222-1222222-1-1-1-2-22-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-111-1-1111111000000000000000022-1-1-2-2-1-11111000000
χ24222222-1222222-1-1-1-2-22-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-111-1-11111110000000000000000-2-2112211-1-1-1-1000000
χ25222222-1-2-22222-1-1-122-2-2-2-2-2-2-222-1-11111-1-1-1-1-1-1111111-1-100000000000000002-2-1-12-211-1-111000000
χ26222222-1-2-22222-1-1-122-2-2-2-2-2-2-222-1-11111-1-1-1-1-1-1111111-1-10000000000000000-2211-22-1-111-1-1000000
χ27222222-1-2-22222-1-1-1-2-2-222-2-222-2-2-1-11111-1-1-1-11111-1-1-1-11100000000000000002-2-1-1-221111-1-1000000
χ28222222-1-2-22222-1-1-1-2-2-222-2-222-2-2-1-11111-1-1-1-11111-1-1-1-1110000000000000000-22112-2-1-1-1-111000000
χ292222-2-22222-22-222222-2222-2-2-2-2-2-2-222-2-22-2-2222-2222-2-2-2-20000000000000000000000000000000000
χ302222-2-22222-22-2222-2-2-2-2-22-22222-2-222-2-22-2-22-2-2-22-2-222220000000000000000000000000000000000
χ312222-2-2222-22-2222200-200-220000-2-22222-222-200-2-20000002222-2-20000-2-20000000000000000000000
χ322222-2-2222-22-2222200-200-220000-2-22222-222-200-2-2000000-2-2-2-2220000220000000000000000000000
χ332222-2-22-2-22-22-2222222-2-2-2222-2-2-2-2-2-2222-2-22222-2-2-222-2-20000000000000000000000000000000000
χ342222-2-22-2-22-22-2222-2-2222-22-2-222-2-2-2-2222-2-22-2-22-222-2-2220000000000000000000000000000000000
χ352222-2-22-2-2-22-22222002002-20000-2-2-2-2-2-2-222-2002200000022-2-2220000-2-20000000000000000000000
χ362222-2-22-2-2-22-22222002002-20000-2-2-2-2-2-2-222-20022000000-2-222-2-20000220000000000000000000000
χ372222-2-2-1222-22-2-1-1-122-2222-2-2-2-2-211-1-111-111-1-1-11-1-1-11111000000000000000000−i3i300−i3i3−i3i3−i3i3000000
χ382222-2-2-1222-22-2-1-1-122-2222-2-2-2-2-211-1-111-111-1-1-11-1-1-11111000000000000000000i3−i300i3−i3i3−i3i3−i3000000
χ392222-2-2-1222-22-2-1-1-1-2-2-2-2-22-2222211-1-111-111-1111-111-1-1-1-1000000000000000000−i3i300−i3i3i3−i3i3−i3000000
χ402222-2-2-1222-22-2-1-1-1-2-2-2-2-22-2222211-1-111-111-1111-111-1-1-1-1000000000000000000i3−i300i3−i3−i3i3−i3i3000000
χ412222-2-2-1-2-22-22-2-1-1-1222-2-2-2222-2-21111-1-1-111-1-1-1-1111-1-111000000000000000000−i3i300i3−i3−i3i3i3−i3000000
χ422222-2-2-1-2-22-22-2-1-1-1222-2-2-2222-2-21111-1-1-111-1-1-1-1111-1-111000000000000000000i3−i300−i3i3i3−i3−i3i3000000
χ432222-2-2-1-2-22-22-2-1-1-1-2-2222-22-2-2221111-1-1-111-111-11-1-111-1-1000000000000000000−i3i300i3−i3i3−i3−i3i3000000
χ442222-2-2-1-2-22-22-2-1-1-1-2-2222-22-2-2221111-1-1-111-111-11-1-111-1-1000000000000000000i3−i300−i3i3−i3i3i3−i3000000
χ452-2-222-22002-2-22-2-220002i−2i002i−2i002-2000022-2-200002i−2i2i−2i002-200002i−2i2i−2i2-20000000000000000000000
χ462-2-222-22002-2-22-2-220002i−2i002i−2i002-2000022-2-200002i−2i2i−2i00-220000−2i2i−2i2i-220000000000000000000000
χ472-2-222-22002-2-22-2-22000−2i2i00−2i2i002-2000022-2-20000−2i2i−2i2i002-20000−2i2i−2i2i2-20000000000000000000000
χ482-2-222-22002-2-22-2-22000−2i2i00−2i2i002-2000022-2-20000−2i2i−2i2i00-2200002i−2i2i−2i-220000000000000000000000
χ492-2-222-2200-222-2-2-222-200000002-22-20000-2-2222-20000002-2002i−2i2i−2i2i−2i−2i2i000000000000000000000000
χ502-2-222-2200-222-2-2-222-200000002-22-20000-2-2222-20000002-200−2i2i−2i2i−2i2i2i−2i000000000000000000000000
χ512-2-222-2200-222-2-2-22-220000000-222-20000-2-222-22000000-22002i−2i2i−2i−2i2i2i−2i000000000000000000000000
χ522-2-222-2200-222-2-2-22-220000000-222-20000-2-222-22000000-2200−2i2i−2i2i2i−2i−2i2i000000000000000000000000
χ532-2-22-2220022-2-2-2-220002i−2i00−2i2i00-2200002-22-200002i−2i−2i2i00002i−2i−2i2i0000002-22-2000000000000000000
χ542-2-22-2220022-2-2-2-220002i−2i00−2i2i00-2200002-22-200002i−2i−2i2i0000−2i2i2i−2i000000-22-22000000000000000000
χ552-2-22-2220022-2-2-2-22000−2i2i002i−2i00-2200002-22-20000−2i2i2i−2i00002i−2i−2i2i000000-22-22000000000000000000
χ562-2-22-2220022-2-2-2-22000−2i2i002i−2i00-2200002-22-20000−2i2i2i−2i0000−2i2i2i−2i0000002-22-2000000000000000000
χ572-2-22-22200-2-222-2-222-20000000-22-220000-22-222-2000000-222-200000000-222-2-22000000000000000000
χ582-2-22-22200-2-222-2-222-20000000-22-220000-22-222-2000000-22-22000000002-2-222-2000000000000000000
χ592-2-22-22200-2-222-2-22-2200000002-2-220000-22-22-220000002-22-200000000-22-222-2000000000000000000
χ602-2-22-22200-2-222-2-22-2200000002-2-220000-22-22-220000002-2-22000000002-22-2-22000000000000000000
χ61444444-244-4-4-4-4-2-2-200400-4-40000-2-2-2-222222200-220000000000000000000000000000000000000000
χ62444444-2-4-4-4-4-4-4-2-2-200-400440000-2-222-2-22222002-20000000000000000000000000000000000000000
χ634444-4-4-244-44-44-2-2-200-400-44000022-2-2-2-22-2-2200220000000000000000000000000000000000000000
χ644444-4-4-2-4-4-44-44-2-2-2004004-400002222222-2-2200-2-20000000000000000000000000000000000000000
χ654-44-40044i−4i00004-4-400000000000004i−4i000000000000000000000000000000000000000000002i−2i2-200
χ664-44-40044i−4i00004-4-400000000000004i−4i00000000000000000000000000000000000000000000−2i2i-2200
χ674-44-4004−4i4i00004-4-40000000000000−4i4i000000000000000000000000000000000000000000002i−2i-2200
χ684-44-4004−4i4i00004-4-40000000000000−4i4i00000000000000000000000000000000000000000000−2i2i2-200
χ694-4-444-4-2004-4-4422-20004i−4i004i−4i00-220000-2-2220000−2i2i−2i2i000000000000000000000000000000000000
χ704-4-444-4-2004-4-4422-2000−4i4i00−4i4i00-220000-2-22200002i−2i2i−2i000000000000000000000000000000000000
χ714-4-444-4-200-444-422-24-400000004-4-22000022-2-2-22000000-220000000000000000000000000000000000
χ724-4-444-4-200-444-422-2-440000000-44-22000022-2-22-20000002-20000000000000000000000000000000000
χ734-4-44-44-20044-4-422-20004i−4i00−4i4i002-20000-22-220000−2i2i2i−2i000000000000000000000000000000000000
χ744-4-44-44-20044-4-422-2000−4i4i004i−4i002-20000-22-2200002i−2i−2i2i000000000000000000000000000000000000
χ754-4-44-44-200-4-44422-24-40000000-442-200002-22-2-220000002-20000000000000000000000000000000000
χ764-4-44-44-200-4-44422-2-4400000004-42-200002-22-22-2000000-220000000000000000000000000000000000
χ7788-8-8008000000-88-800000000000000000000000000000000000000000000000000000000000000000
χ7888-8-800-40000004-4400000000000000043−43000000000000000000000000000000000000000000000000
χ7988-8-800-40000004-44000000000000000−4343000000000000000000000000000000000000000000000000
χ808-88-800-48i−8i0000-4440000000000000−4i4i00000000000000000000000000000000000000000000000000
χ818-88-800-4−8i8i0000-44400000000000004i−4i00000000000000000000000000000000000000000000000000

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