Finite Group Databasebeta

← Group #10746851

Character table — Group #10746851

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11111111111111112222222222222222444488888888888888888888888888888888888888881212121212121212242424242424242424242424
order12222222222222223666666666666666444422224444444466666666121212121212121212121212121212121212121222224444224444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ5111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-111-1-1-1-1
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-11111
χ911111111111111111111111111111111-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1
χ1011111111111111111111111111111111-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111
χ1111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-111-1-1
χ1211111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111
χ1311111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111
χ1411111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1
χ1511111111111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ1611111111111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1
χ172222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ182222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111-1-1-1-1111100000000000000000000
χ192222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-11111-1-1-1-1111100000000000000000000
χ202222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ212222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-222-2-222-2-2-1-1-1-11111-1-1-1-11111-1-1-1-11111111100000000000000000000
χ222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-2-2-222-2-222-1-1-1-111111111-1-1-1-111111111-1-1-1-100000000000000000000
χ232222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-22222-2-2-2-2221111-1-1-1-1-1-1-1-1111111111111-1-1-1-100000000000000000000
χ242222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-222-2-22222-2-21111-1-1-1-11111-1-1-1-1-1-1-1-11111111100000000000000000000
χ2522222-2-2-22-2-222-2-2-22222222-2-2-2-2-22-2-2-200000000002i−2i00000000000000002i2i−2i−2i00000000000000002i2i−2i−2i002-200000000
χ2622222-2-2-22-2-222-2-2-22222222-2-2-2-2-22-2-2-200000000002i−2i00000000000000002i2i−2i−2i0000000000000000−2i−2i2i2i00-2200000000
χ2722222-2-2-22-2-222-2-2-22222222-2-2-2-2-22-2-2-20000000000−2i2i0000000000000000−2i−2i2i2i00000000000000002i2i−2i−2i00-2200000000
χ2822222-2-2-22-2-222-2-2-22222222-2-2-2-2-22-2-2-20000000000−2i2i0000000000000000−2i−2i2i2i0000000000000000−2i−2i2i2i002-200000000
χ292222-2-2-2-2-22-2-2-22222222-2-2-222-2-2-2-22-2200002-2000000000022-2-200000000000000000000000022-2-20000000000002-200
χ302222-2-2-2-2-22-2-2-22222222-2-2-222-2-2-2-22-2200002-2000000000022-2-2000000000000000000000000-2-222000000000000-2200
χ312222-2-2-2-2-22-2-2-22222222-2-2-222-2-2-2-22-220000-220000000000-2-22200000000000000000000000022-2-2000000000000-2200
χ322222-2-2-2-2-22-2-2-22222222-2-2-222-2-2-2-22-220000-220000000000-2-222000000000000000000000000-2-2220000000000002-200
χ3322-2-2222-2-22-22-22-2-222-2-222-22-222-2-22-2-2000000002i−2i000000000000002i2i−2i−2i000000000000000000002i−2i2i−2i00002-2000000
χ3422-2-2222-2-22-22-22-2-222-2-222-22-222-2-22-2-2000000002i−2i000000000000002i2i−2i−2i00000000000000000000−2i2i−2i2i0000-22000000
χ3522-2-2222-2-22-22-22-2-222-2-222-22-222-2-22-2-200000000−2i2i00000000000000−2i−2i2i2i000000000000000000002i−2i2i−2i0000-22000000
χ3622-2-2222-2-22-22-22-2-222-2-222-22-222-2-22-2-200000000−2i2i00000000000000−2i−2i2i2i00000000000000000000−2i2i−2i2i00002-2000000
χ3722-2-22-2-22-2-222-2-22222-2-222-2-22-2-22-2-22222-2-20000000000000000000000000000000022-2-200002-22-22-2-22000000000000
χ3822-2-22-2-22-2-222-2-22222-2-222-2-22-2-22-2-22222-2-20000000000000000000000000000000022-2-20000-22-22-222-2000000000000
χ3922-2-22-2-22-2-222-2-22222-2-222-2-22-2-22-2-222-2-22200000000000000000000000000000000-2-22200002-22-2-222-2000000000000
χ4022-2-22-2-22-2-222-2-22222-2-222-2-22-2-22-2-222-2-22200000000000000000000000000000000-2-2220000-22-222-2-22000000000000
χ4122-2-2-222-22-2-2-22-22222-2-2-2-22-2222-22-2-220000002-200000000000022-2-2000000000000000000002-2-22000000000000002-2
χ4222-2-2-222-22-2-2-22-22222-2-2-2-22-2222-22-2-220000002-200000000000022-2-200000000000000000000-222-200000000000000-22
χ4322-2-2-222-22-2-2-22-22222-2-2-2-22-2222-22-2-22000000-22000000000000-2-222000000000000000000002-2-2200000000000000-22
χ4422-2-2-222-22-2-2-22-22222-2-2-2-22-2222-22-2-22000000-22000000000000-2-22200000000000000000000-222-2000000000000002-2
χ452-22-2-22-2-22222-2-22-22-22-22-2-2-2-22-2-222222-22-2000000002-22-2000000000000000022-2-22-22-222-2-200000000000000000000
χ462-22-2-22-2-22222-2-22-22-22-22-2-2-2-22-2-222222-22-200000000-22-220000000000000000-2-2222-22-2-2-22200000000000000000000
χ472-22-2-22-2-22222-2-22-22-22-22-2-2-2-22-2-22222-22-22000000002-2-22000000000000000022-2-2-22-22-2-22200000000000000000000
χ482-22-2-22-2-22222-2-22-22-22-22-2-2-2-22-2-22222-22-2200000000-222-20000000000000000-2-222-22-2222-2-200000000000000000000
χ492-22-2-22-2-22222-2-22-2-11-11-11111-111-1-1-1-12-22-2000000002-22-2−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3-1-111-11-11-1-11100000000000000000000
χ502-22-2-22-2-22222-2-22-2-11-11-11111-111-1-1-1-12-22-2000000002-22-2i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3-1-111-11-11-1-11100000000000000000000
χ512-22-2-22-2-22222-2-22-2-11-11-11111-111-1-1-1-12-22-200000000-22-22−i3i3−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3i3−i311-1-1-11-1111-1-100000000000000000000
χ522-22-2-22-2-22222-2-22-2-11-11-11111-111-1-1-1-12-22-200000000-22-22i3−i3i3−i3i3−i3i3−i3−i3i3−i3i3−i3i3−i3i311-1-1-11-1111-1-100000000000000000000
χ532-22-2-22-2-22222-2-22-2-11-11-11111-111-1-1-1-1-22-22000000002-2-22−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3-1-1111-11-111-1-100000000000000000000
χ542-22-2-22-2-22222-2-22-2-11-11-11111-111-1-1-1-1-22-22000000002-2-22i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3-1-1111-11-111-1-100000000000000000000
χ552-22-2-22-2-22222-2-22-2-11-11-11111-111-1-1-1-1-22-2200000000-222-2−i3i3−i3i3i3−i3i3−i3i3−i3i3−i3−i3i3−i3i311-1-11-11-1-1-11100000000000000000000
χ562-22-2-22-2-22222-2-22-2-11-11-11111-111-1-1-1-1-22-2200000000-222-2i3−i3i3−i3−i3i3−i3i3−i3i3−i3i3i3−i3i3−i311-1-11-11-1-1-11100000000000000000000
χ572-2-22-2-22-2-2-222222-22-2-222-222-2-22-2-2-2222-2-22000000000000000000000000000000002-2-220000000000002-200002-20000
χ582-2-22-2-22-2-2-222222-22-2-222-222-2-22-2-2-2222-2-22000000000000000000000000000000002-2-22000000000000-220000-220000
χ592-2-22-2-22-2-2-222222-22-2-222-222-2-22-2-2-222-222-200000000000000000000000000000000-222-20000000000002-20000-220000
χ602-2-22-2-22-2-2-222222-22-2-222-222-2-22-2-2-222-222-200000000000000000000000000000000-222-2000000000000-2200002-20000
χ6144444-4-4-44-4-444-4-4-4-2-2-2-2-2-2-222222-222200000000004i−4i0000000000000000−2i−2i2i2i00000000000000000000000000000000
χ6244444-4-4-44-4-444-4-4-4-2-2-2-2-2-2-222222-22220000000000−4i4i00000000000000002i2i−2i−2i00000000000000000000000000000000
χ634444-4444-4-44-4-4-4-4-44444-4-4-4-4-4444-4-44-40000000000000000000000000000000000000000000000000000000000000000
χ644444-4444-4-44-4-4-4-4-4-2-2-2-222222-2-2-222-22000000000000000000000000000000000000000023−2323−2300000000000000000000
χ654444-4444-4-44-4-4-4-4-4-2-2-2-222222-2-2-222-220000000000000000000000000000000000000000−2323−232300000000000000000000
χ664444-4-4-4-4-44-4-4-4444-2-2-2-2222-2-22222-22-200004-40000000000-2-22200000000000000000000000000000000000000000000
χ674444-4-4-4-4-44-4-4-4444-2-2-2-2222-2-22222-22-20000-44000000000022-2-200000000000000000000000000000000000000000000
χ6844-4-4444-4-44-44-44-4-4-2-222-2-22-22-2-222-222000000004i−4i00000000000000−2i−2i2i2i000000000000000000000000000000000000
χ6944-4-4444-4-44-44-44-4-4-2-222-2-22-22-2-222-22200000000−4i4i000000000000002i2i−2i−2i000000000000000000000000000000000000
χ7044-4-44-4-44-4-444-4-444-2-222-2-222-222-222-2-244-4-400000000000000000000000000000000-2-222000000000000000000000000
χ7144-4-44-4-44-4-444-4-444-2-222-2-222-222-222-2-2-4-4440000000000000000000000000000000022-2-2000000000000000000000000
χ7244-4-4-444-44-4-4-44-444-2-22222-22-2-2-22-222-20000004-4000000000000-2-2220000000000000000000000000000000000000000
χ7344-4-4-444-44-4-4-44-444-2-22222-22-2-2-22-222-2000000-4400000000000022-2-20000000000000000000000000000000000000000
χ7444-4-4-4-4-44444-444-4-444-4-4-4-444-4-4-44444-40000000000000000000000000000000000000000000000000000000000000000
χ7544-4-4-4-4-44444-444-4-4-2-22222-2-2222-2-2-2-2200000000000000000000000000000000−2i32i3−2i32i30000000000000000000000000000
χ7644-4-4-4-4-44444-444-4-4-2-22222-2-2222-2-2-2-22000000000000000000000000000000002i3−2i32i3−2i30000000000000000000000000000
χ774-44-444-4-4-4-44-444-444-44-4-444444-4-4-4-44-40000000000000000000000000000000000000000000000000000000000000000
χ784-44-444-4-4-4-44-444-44-22-222-2-2-2-2-22222-22000000000000000000000000000000000000000023−23−232300000000000000000000
χ794-44-444-4-4-4-44-444-44-22-222-2-2-2-2-22222-220000000000000000000000000000000000000000−232323−2300000000000000000000
χ804-44-44-444-44-4-44-44-44-44-4-444-4-4-444-44-440000000000000000000000000000000000000000000000000000000000000000
χ814-44-44-444-44-4-44-44-4-22-222-2-2222-2-22-22-20000000000000000−2i32i32i3−2i300000000000000000000000000000000000000000000
χ824-44-44-444-44-4-44-44-4-22-222-2-2222-2-22-22-200000000000000002i3−2i3−2i32i300000000000000000000000000000000000000000000
χ834-44-4-4-4444-4-44-44-444-44-44-4-444-4444-4-4-40000000000000000000000000000000000000000000000000000000000000000
χ844-44-4-4-4444-4-44-44-44-22-22-222-2-22-2-2-2222000000000000000000000000000023−23−232300000000000000000000000000000000
χ854-44-4-4-4444-4-44-44-44-22-22-222-2-22-2-2-22220000000000000000000000000000−232323−2300000000000000000000000000000000
χ864-4-4444-444-4-4-4-444-44-4-44-44-44-44-444-4-440000000000000000000000000000000000000000000000000000000000000000
χ874-4-4444-444-4-4-4-444-4-222-22-22-22-22-2-222-200000000000000000000−2i32i32i3−2i30000000000000000000000000000000000000000
χ884-4-4444-444-4-4-4-444-4-222-22-22-22-22-2-222-2000000000000000000002i3−2i3−2i32i30000000000000000000000000000000000000000
χ894-4-444-44-4444-4-4-4-444-4-44-44-4-44-44-4444-40000000000000000000000000000000000000000000000000000000000000000
χ904-4-444-44-4444-4-4-4-44-222-22-222-22-22-2-2-2200000000000000000000000000000000−2i32i32i3−2i30000000000000000000000000000
χ914-4-444-44-4444-4-4-4-44-222-22-222-22-22-2-2-22000000000000000000000000000000002i3−2i3−2i32i30000000000000000000000000000
χ924-4-44-44-44-44-444-4-444-4-444-44-444-44-44-4-40000000000000000000000000000000000000000000000000000000000000000
χ934-4-44-44-44-44-444-4-44-222-2-22-22-2-22-22-22200000000000000000000000023−23−2323000000000000000000000000000000000000
χ944-4-44-44-44-44-444-4-44-222-2-22-22-2-22-22-222000000000000000000000000−232323−23000000000000000000000000000000000000
χ954-4-44-4-44-4-4-444444-4-222-2-22-2-222-2222-2-24-4-4400000000000000000000000000000000-222-2000000000000000000000000
χ964-4-44-4-44-4-4-444444-4-222-2-22-2-222-2222-2-2-444-4000000000000000000000000000000002-2-22000000000000000000000000

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