Finite Group Databasebeta

← Group #10944265

Character table — Group #10944265

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11111111222222222222222222224444444444444444444444444444444444441212121212121212121212121212121216161616161616161616161648484848
order1222222222223444444446666666222244446666666666661212121212121212121212121212121288888888888888882444661212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-1-11
χ61111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-111-1
χ71111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-111-1
χ81111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111111-1-11
χ911111111-1-1-1-11111-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-111-1-111-1-111-1-1
χ1011111111-1-1-1-11111-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-1-111-1-111-1-111
χ1111111111-1-1-1-11111-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-111-1-111-1-1-1-111
χ1211111111-1-1-1-11111-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-11-1-111-1-11111-1-1
χ1311111111-1-1-1-11111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1111-11-1
χ1411111111-1-1-1-11111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1-11-11
χ1511111111-1-1-1-11111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-1111-1-1-1-111-11-11
χ1611111111-1-1-1-11111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-1-1-11111-1-11-11-1
χ172222222222222-2-2-2-2-2-2-2-222222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000
χ182222222222222-2-2-2-2-2-2-2-22222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000000000000000000000
χ19222222222222-122222222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-10000
χ20222222222222-122222222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-2111111110000
χ21222222222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-111111111000000000000000022-2-2-1-1-1-111110000
χ22222222222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-1111111110000000000000000-2-2221111-1-1-1-10000
χ23222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111111100000000000000000000−i3i3−i3i3−i3i3−i3i30000
χ24222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111111100000000000000000000i3−i3i3−i3i3−i3i3−i30000
χ25222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-11111111111111111-1-1-1-1-1-1-1-100000000000000000000−i3i3−i3i3i3−i3i3−i30000
χ26222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-11111111111111111-1-1-1-1-1-1-1-100000000000000000000i3−i3i3−i3−i3i3−i3i30000
χ2722222222-2-2-2-22-2-2-22222-2222222222-2-2-2-222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2222200000000000000000000000000000000
χ2822222222-2-2-2-22-2-2-22222-22222222-2-22222-2-2-2-2-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-200000000000000000000000000000000
χ2922222222-2-2-2-2-1222-2-2-2-22-1-1-1-1-1-1-122-2-222-2-21111-1-1-1-11111-1-1-1-11111-1-1-1-1111100000000000000002-22-2-1-111-1-1110000
χ3022222222-2-2-2-2-1222-2-2-2-22-1-1-1-1-1-1-122-2-222-2-21111-1-1-1-11111-1-1-1-11111-1-1-1-111110000000000000000-22-2211-1-111-1-10000
χ3122222222-2-2-2-2-1222-2-2-2-22-1-1-1-1-1-1-1-2-222-2-22211111111-1-1-1-1-1-1-1-111111111-1-1-1-100000000000000002-2-22-1-11111-1-10000
χ3222222222-2-2-2-2-1222-2-2-2-22-1-1-1-1-1-1-1-2-222-2-22211111111-1-1-1-1-1-1-1-111111111-1-1-1-10000000000000000-222-211-1-1-1-1110000
χ3322222222-2-2-2-2-1-2-2-22222-2-1-1-1-1-1-1-122-2-2-2-2221111-1-1-1-111111111-1-1-1-11111-1-1-1-100000000000000000000−i3i3i3−i3−i3i3i3−i30000
χ3422222222-2-2-2-2-1-2-2-22222-2-1-1-1-1-1-1-122-2-2-2-2221111-1-1-1-111111111-1-1-1-11111-1-1-1-100000000000000000000i3−i3−i3i3i3−i3−i3i30000
χ3522222222-2-2-2-2-1-2-2-22222-2-1-1-1-1-1-1-1-2-22222-2-211111111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000000000000000−i3i3i3−i3i3−i3−i3i30000
χ3622222222-2-2-2-2-1-2-2-22222-2-1-1-1-1-1-1-1-2-22222-2-211111111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000000000000000i3−i3−i3i3−i3i3i3−i30000
χ3722-2-2-22-220000222-20000-22-2-22-2-22002-2002-20000000022-2-222-2-20000000022-2-22i2i−2i−2i000000002i2i−2i−2i0000000000000000
χ3822-2-2-22-220000222-20000-22-2-22-2-22002-2002-20000000022-2-222-2-20000000022-2-2−2i−2i2i2i00000000−2i−2i2i2i0000000000000000
χ3922-2-2-22-220000222-20000-22-2-22-2-2200-2200-2200000000-2-22222-2-200000000-2-2222i2i−2i−2i00000000−2i−2i2i2i0000000000000000
χ4022-2-2-22-220000222-20000-22-2-22-2-2200-2200-2200000000-2-22222-2-200000000-2-222−2i−2i2i2i000000002i2i−2i−2i0000000000000000
χ4122-2-2-22-2200002-2-22000022-2-22-2-22002-200-220000000022-2-2-2-22200000000-2-222000022-2-222-2-200000000000000000000
χ4222-2-2-22-2200002-2-22000022-2-22-2-22002-200-220000000022-2-2-2-22200000000-2-2220000-2-222-2-22200000000000000000000
χ4322-2-2-22-2200002-2-22000022-2-22-2-2200-22002-200000000-2-222-2-2220000000022-2-2000022-2-2-2-22200000000000000000000
χ4422-2-2-22-2200002-2-22000022-2-22-2-2200-22002-200000000-2-222-2-2220000000022-2-20000-2-22222-2-200000000000000000000
χ452-22-2-2-222000022-220000-2-22-2-22-222-2002-200000022-2-200002-22-2000022-2-200002i−2i2i−2i00002i−2i2i−2i00000000000000000000
χ462-22-2-2-222000022-220000-2-22-2-22-222-2002-200000022-2-200002-22-2000022-2-20000−2i2i−2i2i0000−2i2i−2i2i00000000000000000000
χ472-22-2-2-222000022-220000-2-22-2-22-22-2200-22000000-2-22200002-22-20000-2-22200002i−2i2i−2i0000−2i2i−2i2i00000000000000000000
χ482-22-2-2-222000022-220000-2-22-2-22-22-2200-22000000-2-22200002-22-20000-2-2220000−2i2i−2i2i00002i−2i2i−2i00000000000000000000
χ492-22-2-2-22200002-22-200002-22-2-22-222-200-2200000022-2-20000-22-220000-2-222000000002-22-200002-22-20000000000000000
χ502-22-2-2-22200002-22-200002-22-2-22-222-200-2200000022-2-20000-22-220000-2-22200000000-22-220000-22-220000000000000000
χ512-22-2-2-22200002-22-200002-22-2-22-22-22002-2000000-2-2220000-22-22000022-2-2000000002-22-20000-22-220000000000000000
χ522-22-2-2-22200002-22-200002-22-2-22-22-22002-2000000-2-2220000-22-22000022-2-200000000-22-2200002-22-20000000000000000
χ532-2-222-2-2222-2-222-2-222-2-22-2-22-2-2220000000022-2-2000000002-2-2222-2-2000000002-2-222-2-22000000000000000000000000
χ542-2-222-2-2222-2-222-2-222-2-22-2-22-2-2220000000022-2-2000000002-2-2222-2-200000000-222-2-222-2000000000000000000000000
χ552-2-222-2-2222-2-22-222-2-222-2-2-22-2-2220000000022-2-200000000-222-2-2-22200000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000
χ562-2-222-2-2222-2-22-222-2-222-2-2-22-2-2220000000022-2-200000000-222-2-2-2220000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000
χ572-2-222-2-22-2-22222-2-2-2-2222-2-22-2-22200000000-2-222000000002-2-22-2-222000000002-2-22-222-2000000000000000000000000
χ582-2-222-2-22-2-22222-2-2-2-2222-2-22-2-22200000000-2-222000000002-2-22-2-22200000000-222-22-2-22000000000000000000000000
χ592-2-222-2-22-2-2222-22222-2-2-2-2-22-2-22200000000-2-22200000000-222-222-2-200000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000
χ602-2-222-2-22-2-2222-22222-2-2-2-2-22-2-22200000000-2-22200000000-222-222-2-20000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000
χ614444-4-4-4-44-44-440000000044-4-4-44-4000000004-44-400000000000000000000000000000000000000000000000000000000
χ624444-4-4-4-44-44-4-200000000-2-2222-2200000000-22-22000000000000000023−2323−2323−2323−2300000000000000000000000000000000
χ634444-4-4-4-44-44-4-200000000-2-2222-2200000000-22-220000000000000000−2323−2323−2323−232300000000000000000000000000000000
χ644444-4-4-4-4-44-4440000000044-4-4-44-400000000-44-4400000000000000000000000000000000000000000000000000000000
χ654444-4-4-4-4-44-44-200000000-2-2222-22000000002-22-2000000000000000023−2323−23−2323−232300000000000000000000000000000000
χ664444-4-4-4-4-44-44-200000000-2-2222-22000000002-22-20000000000000000−2323−232323−2323−2300000000000000000000000000000000
χ6744-4-44-44-4000040004i−4i4i−4i04-44-44-4-40000000000000000000000004i−4i4i−4i0000000000000000000000000000000000000000
χ6844-4-44-44-400004000−4i4i−4i4i04-44-44-4-4000000000000000000000000−4i4i−4i4i0000000000000000000000000000000000000000
χ6944-4-44-44-40000-20004i−4i4i−4i0-22-22-222000000000000−2i32i3−2i32i300000000−2i2i−2i2i000023−23−232300000000000000000000000000000000
χ7044-4-44-44-40000-20004i−4i4i−4i0-22-22-2220000000000002i3−2i32i3−2i300000000−2i2i−2i2i0000−232323−2300000000000000000000000000000000
χ7144-4-44-44-40000-2000−4i4i−4i4i0-22-22-222000000000000−2i32i3−2i32i3000000002i−2i2i−2i0000−232323−2300000000000000000000000000000000
χ7244-4-44-44-40000-2000−4i4i−4i4i0-22-22-2220000000000002i3−2i32i3−2i3000000002i−2i2i−2i000023−23−232300000000000000000000000000000000
χ7344-4-4-44-440000-244-40000-4-222-222-2004-4004-400000000-2-222-2-22200000000-2-22200000000000000000000000000000000
χ7444-4-4-44-440000-244-40000-4-222-222-200-4400-440000000022-2-2-2-2220000000022-2-200000000000000000000000000000000
χ7544-4-4-44-440000-2-4-4400004-222-222-2004-400-4400000000-2-22222-2-20000000022-2-200000000000000000000000000000000
χ7644-4-4-44-440000-2-4-4400004-222-222-200-44004-40000000022-2-222-2-200000000-2-22200000000000000000000000000000000
χ774-44-444-4-4000040004i−4i−4i4i0-4444-4-4-40000000000000000000000004i−4i−4i4i0000000000000000000000000000000000000000
χ784-44-444-4-400004000−4i4i4i−4i0-4444-4-4-4000000000000000000000000−4i4i4i−4i0000000000000000000000000000000000000000
χ794-44-444-4-40000-20004i−4i−4i4i02-2-2-22220000000000000000−2i32i3−2i32i30000−2i2i2i−2i23−23−2323000000000000000000000000000000000000
χ804-44-444-4-40000-20004i−4i−4i4i02-2-2-222200000000000000002i3−2i32i3−2i30000−2i2i2i−2i−232323−23000000000000000000000000000000000000
χ814-44-444-4-40000-2000−4i4i4i−4i02-2-2-22220000000000000000−2i32i3−2i32i300002i−2i−2i2i−232323−23000000000000000000000000000000000000
χ824-44-444-4-40000-2000−4i4i4i−4i02-2-2-222200000000000000002i3−2i32i3−2i300002i−2i−2i2i23−23−2323000000000000000000000000000000000000
χ834-44-4-4-4440000-24-440000-42-222-22-24-4004-4000000-2-2220000-22-220000-2-222000000000000000000000000000000000000
χ844-44-4-4-4440000-24-440000-42-222-22-2-4400-4400000022-2-20000-22-22000022-2-2000000000000000000000000000000000000
χ854-44-4-4-4440000-2-44-4000042-222-22-24-400-44000000-2-22200002-22-2000022-2-2000000000000000000000000000000000000
χ864-44-4-4-4440000-2-44-4000042-222-22-2-44004-400000022-2-200002-22-20000-2-222000000000000000000000000000000000000
χ874-4-444-4-4444-4-4-24-4-444-4-4422-222-2-200000000-2-22200000000-222-2-2-2220000000000000000000000000000000000000000
χ884-4-444-4-4444-4-4-2-444-4-444-422-222-2-200000000-2-222000000002-2-2222-2-20000000000000000000000000000000000000000
χ894-4-444-4-44-4-444-24-4-4-4-444422-222-2-20000000022-2-200000000-222-222-2-20000000000000000000000000000000000000000
χ904-4-444-4-44-4-444-2-44444-4-4-422-222-2-20000000022-2-2000000002-2-22-2-2220000000000000000000000000000000000000000
χ914-4-44-444-44-4-44400000000-4-4-4444-4000000004-4-4400000000000000000000000000000000000000000000000000000000
χ924-4-44-444-44-4-44-200000000222-2-2-2200000000-222-2−2i32i32i3−2i3−2i32i32i3−2i3000000000000000000000000000000000000000000000000
χ934-4-44-444-44-4-44-200000000222-2-2-2200000000-222-22i3−2i3−2i32i32i3−2i3−2i32i3000000000000000000000000000000000000000000000000
χ944-4-44-444-4-444-4400000000-4-4-4444-400000000-444-400000000000000000000000000000000000000000000000000000000
χ954-4-44-444-4-444-4-200000000222-2-2-22000000002-2-22−2i32i32i3−2i32i3−2i3−2i32i3000000000000000000000000000000000000000000000000
χ964-4-44-444-4-444-4-200000000222-2-2-22000000002-2-222i3−2i3−2i32i3−2i32i32i3−2i3000000000000000000000000000000000000000000000000

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