Finite Group Databasebeta

← Group #10945088

Character table — Group #10945088

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222222222224444444444444444444444444444444444121212121212121212121212121212121616161616161616161616162424242424242424
order12222222344444444444444446666666444444121212121212121212121212121212121212121212121212121212122222444444444444224466661212121288888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-11111-1-1-1-1
χ6111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-1-1-11111
χ7111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-111-1-111-1-1-1-1-1-11111
χ8111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-1-111-1-1111111-1-1-1-1
χ911111111111-1-1-1-11111-1-1-1-1111111111-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-1-1111-1-1-1-11111-1-111-1-1
χ1011111111111-1-1-1-11111-1-1-1-1111111111-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-111-1-1-11111-1-1-1-111-1-111
χ1111111111111-1-1-1-11111-1-1-1-1111111111-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1111-1-1-1-111-1-111-1-111
χ1211111111111-1-1-1-11111-1-1-1-1111111111-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-1-11111-1-111-1-111-1-1
χ1311111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-111
χ1411111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-11111-1-1
χ1511111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1
χ1611111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111
χ17222222222-2-2222222222222-2-22222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-22222000000000000000000000000000000000000
χ18222222222-2-22222-2-2-2-2-2-2-2-2-2-22222222-2-22222-2-2-2-22222-2-2-2-2-2-2-2-222222222-2-2-2-2000000000000000000000000000000000000
χ19222222222-2-2-2-2-2-22222-2-2-2-2-2-2222222222-2-222-2-2-2-2-2-2-2-222222222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000
χ20222222222-2-2-2-2-2-2-2-2-2-22222-2-222222222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000
χ2122222222-12222222222222222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-100000000
χ2222222222-12222222222222222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-21111111100000000
χ2322222222-1222222-2-2-2-2-2-2-2-222-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111111100000000000000002-22-2-1-111-1-11100000000
χ2422222222-1222222-2-2-2-2-2-2-2-222-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000000000000000-22-2211-1-111-1-100000000
χ2522222222-122-2-2-2-22222-2-2-2-222-1-1-1-1-1-1-1-2-222-2-2-1-1-1-111111111-1-1-1-1-1-1-1-11111111100000000000000002-2-22-1-11111-1-100000000
χ2622222222-122-2-2-2-22222-2-2-2-222-1-1-1-1-1-1-1-2-222-2-2-1-1-1-111111111-1-1-1-1-1-1-1-1111111110000000000000000-222-211-1-1-1-11100000000
χ2722222222-122-2-2-2-2-2-2-2-2222222-1-1-1-1-1-1-1-2-2-2-222-1-1-1-11111111111111111-1-1-1-1-1-1-1-1000000000000000022-2-2-1-1-1-1111100000000
χ2822222222-122-2-2-2-2-2-2-2-2222222-1-1-1-1-1-1-1-2-2-2-222-1-1-1-11111111111111111-1-1-1-1-1-1-1-10000000000000000-2-2221111-1-1-1-100000000
χ2922222222-1-2-2222222222222-2-2-1-1-1-1-1-1-1-2-2-2-2-2-21111-1-1-1-11111-1-1-1-111111111-1-1-1-100000000000000000000−i3i3−i3i3−i3i3−i3i300000000
χ3022222222-1-2-2222222222222-2-2-1-1-1-1-1-1-1-2-2-2-2-2-21111-1-1-1-11111-1-1-1-111111111-1-1-1-100000000000000000000i3−i3i3−i3i3−i3i3−i300000000
χ3122222222-1-2-22222-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-2-222221111-1-1-1-111111111-1-1-1-1-1-1-1-1111100000000000000000000−i3i3i3−i3−i3i3i3−i300000000
χ3222222222-1-2-22222-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-2-222221111-1-1-1-111111111-1-1-1-1-1-1-1-1111100000000000000000000i3−i3−i3i3i3−i3−i3i300000000
χ3322222222-1-2-2-2-2-2-22222-2-2-2-2-2-2-1-1-1-1-1-1-122-2-22211111111-1-1-1-1-1-1-1-11111-1-1-1-1111100000000000000000000−i3i3i3−i3i3−i3−i3i300000000
χ3422222222-1-2-2-2-2-2-22222-2-2-2-2-2-2-1-1-1-1-1-1-122-2-22211111111-1-1-1-1-1-1-1-11111-1-1-1-1111100000000000000000000i3−i3−i3i3−i3i3i3−i300000000
χ3522222222-1-2-2-2-2-2-2-2-2-2-22222-2-2-1-1-1-1-1-1-12222-2-211111111-1-1-1-11111-1-1-1-11111-1-1-1-100000000000000000000−i3i3−i3i3i3−i3i3−i300000000
χ3622222222-1-2-2-2-2-2-2-2-2-2-22222-2-2-1-1-1-1-1-1-12222-2-211111111-1-1-1-11111-1-1-1-11111-1-1-1-100000000000000000000i3−i3i3−i3−i3i3−i3i300000000
χ37222-2-22-2-222-200002i2i−2i−2i00002-2222-2-2-2-2002i−2i0022-2-2000000002i2i−2i−2i2i2i−2i−2i00000000000022-2-200002i2i−2i−2i00000000000000000000
χ38222-2-22-2-222-200002i2i−2i−2i00002-2222-2-2-2-2002i−2i0022-2-2000000002i2i−2i−2i2i2i−2i−2i000000000000-2-2220000−2i−2i2i2i00000000000000000000
χ39222-2-22-2-222-20000−2i−2i2i2i00002-2222-2-2-2-200−2i2i0022-2-200000000−2i−2i2i2i−2i−2i2i2i00000000000022-2-20000−2i−2i2i2i00000000000000000000
χ40222-2-22-2-222-20000−2i−2i2i2i00002-2222-2-2-2-200−2i2i0022-2-200000000−2i−2i2i2i−2i−2i2i2i000000000000-2-22200002i2i−2i−2i00000000000000000000
χ41222-2-22-2-22-2200002i2i−2i−2i0000-22222-2-2-2-200−2i2i00-2-222000000002i2i−2i−2i−2i−2i2i2i0000000022-2-200002i2i−2i−2i000000000000000000000000
χ42222-2-22-2-22-2200002i2i−2i−2i0000-22222-2-2-2-200−2i2i00-2-222000000002i2i−2i−2i−2i−2i2i2i00000000-2-2220000−2i−2i2i2i000000000000000000000000
χ43222-2-22-2-22-220000−2i−2i2i2i0000-22222-2-2-2-2002i−2i00-2-22200000000−2i−2i2i2i2i2i−2i−2i0000000022-2-20000−2i−2i2i2i000000000000000000000000
χ44222-2-22-2-22-220000−2i−2i2i2i0000-22222-2-2-2-2002i−2i00-2-22200000000−2i−2i2i2i2i2i−2i−2i00000000-2-22200002i2i−2i−2i000000000000000000000000
χ4522-22-2-22-222-22i2i−2i−2i00000000-222-2-222-2-22i−2i00002-22-22i2i−2i−2i2i2i−2i−2i00000000000000002-22-22i−2i2i−2i0000000000000000000000000000
χ4622-22-2-22-222-22i2i−2i−2i00000000-222-2-222-2-22i−2i00002-22-22i2i−2i−2i2i2i−2i−2i0000000000000000-22-22−2i2i−2i2i0000000000000000000000000000
χ4722-22-2-22-222-2−2i−2i2i2i00000000-222-2-222-2-2−2i2i00002-22-2−2i−2i2i2i−2i−2i2i2i00000000000000002-22-2−2i2i−2i2i0000000000000000000000000000
χ4822-22-2-22-222-2−2i−2i2i2i00000000-222-2-222-2-2−2i2i00002-22-2−2i−2i2i2i−2i−2i2i2i0000000000000000-22-222i−2i2i−2i0000000000000000000000000000
χ4922-22-2-22-22-222i2i−2i−2i000000002-22-2-222-2-2−2i2i0000-22-222i2i−2i−2i−2i−2i2i2i0000000000000000000000002-22-22i−2i2i−2i00000000000000000000
χ5022-22-2-22-22-222i2i−2i−2i000000002-22-2-222-2-2−2i2i0000-22-222i2i−2i−2i−2i−2i2i2i000000000000000000000000-22-22−2i2i−2i2i00000000000000000000
χ5122-22-2-22-22-22−2i−2i2i2i000000002-22-2-222-2-22i−2i0000-22-22−2i−2i2i2i2i2i−2i−2i0000000000000000000000002-22-2−2i2i−2i2i00000000000000000000
χ5222-22-2-22-22-22−2i−2i2i2i000000002-22-2-222-2-22i−2i0000-22-22−2i−2i2i2i2i2i−2i−2i000000000000000000000000-22-222i−2i2i−2i00000000000000000000
χ5322-2-22-2-222220000000022-2-2-2-22-2-2-2-22200002-22-2-22000000000000000022-2-222-2-200002i−2i−2i2i2i−2i−2i2i000000000000000000000000
χ5422-2-22-2-222220000000022-2-2-2-22-2-2-2-22200002-22-2-22000000000000000022-2-222-2-20000−2i2i2i−2i−2i2i2i−2i000000000000000000000000
χ5522-2-22-2-2222200000000-2-222-2-22-2-2-2-2220000-222-2-220000000000000000-2-222-2-22200002i−2i−2i2i−2i2i2i−2i000000000000000000000000
χ5622-2-22-2-2222200000000-2-222-2-22-2-2-2-2220000-222-2-220000000000000000-2-222-2-2220000−2i2i2i−2i2i−2i−2i2i000000000000000000000000
χ5722-2-22-2-222-2-20000000022-2-2222-2-2-2-2220000-22-222-20000000000000000-2-22222-2-22-2-2200000000-222-200000000000000000000
χ5822-2-22-2-222-2-20000000022-2-2222-2-2-2-2220000-22-222-20000000000000000-2-22222-2-2-222-2000000002-2-2200000000000000000000
χ5922-2-22-2-222-2-200000000-2-222222-2-2-2-22200002-2-222-2000000000000000022-2-2-2-2222-2-22000000002-2-2200000000000000000000
χ6022-2-22-2-222-2-200000000-2-222222-2-2-2-22200002-2-222-2000000000000000022-2-2-2-222-222-200000000-222-200000000000000000000
χ612-2-2-2-22222002-22-22-22-22-22-200-22-22-2-2200000000002-22-200002-22-2000000002-22-200000000000000000000000000002−22−22−22−2
χ622-2-2-2-22222002-22-22-22-22-22-200-22-22-2-2200000000002-22-200002-22-2000000002-22-20000000000000000000000000000−22−22−22−22
χ632-2-2-2-22222002-22-2-22-22-22-2200-22-22-2-2200000000002-22-20000-22-2200000000-22-2200000000000000000000000000002−22−2−22−22
χ642-2-2-2-22222002-22-2-22-22-22-2200-22-22-2-2200000000002-22-20000-22-2200000000-22-220000000000000000000000000000−22−222−22−2
χ652-2-2-2-2222200-22-222-22-2-22-2200-22-22-2-220000000000-22-2200002-22-200000000-22-2200000000000000000000000000002−2−222−2−22
χ662-2-2-2-2222200-22-222-22-2-22-2200-22-22-2-220000000000-22-2200002-22-200000000-22-220000000000000000000000000000−222−2−222−2
χ672-2-2-2-2222200-22-22-22-222-22-200-22-22-2-220000000000-22-220000-22-22000000002-22-200000000000000000000000000002−2−22−222−2
χ682-2-2-2-2222200-22-22-22-222-22-200-22-22-2-220000000000-22-220000-22-22000000002-22-20000000000000000000000000000−222−22−2−22
χ69444-4-44-4-4-24-400004i4i−4i−4i00004-4-2-2-22222004i−4i00-2-22200000000−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000000000000000
χ70444-4-44-4-4-24-40000−4i−4i4i4i00004-4-2-2-2222200−4i4i00-2-222000000002i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000000000000000
χ71444-4-44-4-4-2-4400004i4i−4i−4i0000-44-2-2-2222200−4i4i0022-2-200000000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000000000000000
χ72444-4-44-4-4-2-440000−4i−4i4i4i0000-44-2-2-22222004i−4i0022-2-2000000002i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000000000000000
χ7344-44-4-44-4-24-44i4i−4i−4i00000000-44-222-2-2224i−4i0000-22-22−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000000000
χ7444-44-4-44-4-24-4−4i−4i4i4i00000000-44-222-2-222−4i4i0000-22-222i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000000000
χ7544-44-4-44-4-2-444i4i−4i−4i000000004-4-222-2-222−4i4i00002-22-2−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000000000000000000000
χ7644-44-4-44-4-2-44−4i−4i4i4i000000004-4-222-2-2224i−4i00002-22-22i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000000000000000000000
χ7744-4-44-4-44-2440000000044-4-4-4-4-22222-2-200004-4-222-20000000000000000-2-222-2-222000000000000000000000000000000000000
χ7844-4-44-4-44-24400000000-4-444-4-4-22222-2-20000-44-222-2000000000000000022-2-222-2-2000000000000000000000000000000000000
χ7944-4-44-4-44-2-4-40000000044-4-444-22222-2-20000-442-2-22000000000000000022-2-2-2-222000000000000000000000000000000000000
χ8044-4-44-4-44-2-4-400000000-4-44444-22222-2-200004-42-2-220000000000000000-2-22222-2-2000000000000000000000000000000000000
χ814-444-4-4-44400000000004-4-4400-4-44-44-440000000000000000000000000000004-4-44000000000000000000000000000000000000
χ824-444-4-4-4440000000000-444-400-4-44-44-44000000000000000000000000000000-444-4000000000000000000000000000000000000
χ834-444-4-4-44-200000000004-4-440022-22-22-200000000000000−2i32i3−2i32i30000−2i32i3−2i32i30000-222-2000000000000000000000000000000000000
χ844-444-4-4-44-200000000004-4-440022-22-22-2000000000000002i3−2i32i3−2i300002i3−2i32i3−2i30000-222-2000000000000000000000000000000000000
χ854-444-4-4-44-20000000000-444-40022-22-22-200000000000000−2i32i3−2i32i300002i3−2i32i3−2i300002-2-22000000000000000000000000000000000000
χ864-444-4-4-44-20000000000-444-40022-22-22-2000000000000002i3−2i32i3−2i30000−2i32i3−2i32i300002-2-22000000000000000000000000000000000000
χ874-44-44-44-44004i−4i−4i4i0000000000-4-444-44-400000000004i−4i−4i4i00000000000000000000000000000000000000000000000000000000
χ884-44-44-44-4400−4i4i4i−4i0000000000-4-444-44-40000000000−4i4i4i−4i00000000000000000000000000000000000000000000000000000000
χ894-44-44-44-4-2004i−4i−4i4i000000000022-2-22-220000000000−2i2i2i−2i0000000023−23−2323−2i32i3−2i32i30000000000000000000000000000000000000000
χ904-44-44-44-4-2004i−4i−4i4i000000000022-2-22-220000000000−2i2i2i−2i00000000−232323−232i3−2i32i3−2i30000000000000000000000000000000000000000
χ914-44-44-44-4-200−4i4i4i−4i000000000022-2-22-2200000000002i−2i−2i2i0000000023−23−23232i3−2i32i3−2i30000000000000000000000000000000000000000
χ924-44-44-44-4-200−4i4i4i−4i000000000022-2-22-2200000000002i−2i−2i2i00000000−232323−23−2i32i3−2i32i30000000000000000000000000000000000000000
χ934-4-4444-4-440000004i−4i−4i4i000000-44-4-444-40000000000000000004i−4i−4i4i000000000000000000000000000000000000000000000000
χ944-4-4444-4-44000000−4i4i4i−4i000000-44-4-444-4000000000000000000−4i4i4i−4i000000000000000000000000000000000000000000000000
χ954-4-4444-4-4-20000004i−4i−4i4i0000002-222-2-220000000000000023−23−2323−2i2i2i−2i00002i3−2i3−2i32i30000000000000000000000000000000000000000
χ964-4-4444-4-4-20000004i−4i−4i4i0000002-222-2-2200000000000000−232323−23−2i2i2i−2i0000−2i32i32i3−2i30000000000000000000000000000000000000000
χ974-4-4444-4-4-2000000−4i4i4i−4i0000002-222-2-220000000000000023−23−23232i−2i−2i2i0000−2i32i32i3−2i30000000000000000000000000000000000000000
χ984-4-4444-4-4-2000000−4i4i4i−4i0000002-222-2-2200000000000000−232323−232i−2i−2i2i00002i3−2i3−2i32i30000000000000000000000000000000000000000
χ994-4-4-4-4444-2004-44-44-44-44-44-4002-22-222-20000000000-22-220000-22-2200000000-22-22000000000000000000000000000000000000
χ1004-4-4-4-4444-2004-44-4-44-44-44-44002-22-222-20000000000-22-2200002-22-2000000002-22-2000000000000000000000000000000000000
χ1014-4-4-4-4444-200-44-444-44-4-44-44002-22-222-200000000002-22-20000-22-22000000002-22-2000000000000000000000000000000000000
χ1024-4-4-4-4444-200-44-44-44-444-44-4002-22-222-200000000002-22-200002-22-200000000-22-22000000000000000000000000000000000000

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