Finite Group Databasebeta

← Group #10695322

Character table — Group #10695322

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222222222224444444444444444444444444444444444121212121212121212121212121212121616161616161616161616162424242424242424
order122222223444444444444444466666664444441212121212121212121212121212121212121212121212121212121288888888888888884444121212121212121288888888
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
χ511111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111
χ711111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11111
χ811111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111111111-1-1-1-1
χ9111111111-1-1-1-1-11111-1-1-1-1-1-1-1111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-11-111-1-111-1-1ii−i−iii−i−i
χ10111111111-1-1-1-1-11111-1-1-1-1-1-1-1111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11-1-111-1-111−i−iii−i−iii
χ11111111111-1-1-1-1-11111-1-1-1-1-1-1-1111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-11-111-1-111-1-1−i−iii−i−iii
χ12111111111-1-1-1-1-11111-1-1-1-1-1-1-1111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11-1-111-1-111ii−i−iii−i−i
χ13111111111-1-1-1-1-1-1-1-1-11111-1-1-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1-1-1111-1-1-1-111ii−i−i−i−iii
χ14111111111-1-1-1-1-1-1-1-1-11111-1-1-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-111-1-1-11111-1-1−i−iiiii−i−i
χ15111111111-1-1-1-1-1-1-1-1-11111-1-1-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1-1-1111-1-1-1-111−i−iiiii−i−i
χ16111111111-1-1-1-1-1-1-1-1-11111-1-1-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-111-1-1-11111-1-1ii−i−i−i−iii
χ17222222222222-2-22222-2-2-2-2-2-222222222-2-222-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-2-2-2-2-2000000000000000000000000000000000000
χ18222222222222-2-2-2-2-2-22222-2-222222222-2-2-2-222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-222222222000000000000000000000000000000000000
χ19222222222-2-2-2222222222222-22222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22222000000000000000000000000000000000000
χ20222222222-2-2-222-2-2-2-2-2-2-2-222-22222222-2-22222-2-2-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-2000000000000000000000000000000000000
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
χ2322222222-122222-2-2-2-2-2-2-2-2222-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111111111000000000000000022-2-2-1-1-1-1111100000000
χ2422222222-122222-2-2-2-2-2-2-2-2222-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000000000000000-2-2221111-1-1-1-100000000
χ2522222222-1222-2-22222-2-2-2-2-2-22-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-11111-1-1-1-1-1-1-1-11111111100000000000000000000−i3i3−i3i3−i3i3−i3i300000000
χ2622222222-1222-2-22222-2-2-2-2-2-22-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-11111-1-1-1-1-1-1-1-11111111100000000000000000000i3−i3i3−i3i3−i3i3−i300000000
χ2722222222-1222-2-2-2-2-2-22222-2-22-1-1-1-1-1-1-1-2-2-2-2221111-1-1-1-1111111111111-1-1-1-1-1-1-1-100000000000000000000−i3i3−i3i3i3−i3i3−i300000000
χ2822222222-1222-2-2-2-2-2-22222-2-22-1-1-1-1-1-1-1-2-2-2-2221111-1-1-1-1111111111111-1-1-1-1-1-1-1-100000000000000000000i3−i3i3−i3−i3i3−i3i300000000
χ2922222222-1-2-2-2222222222222-2-1-1-1-1-1-1-1-2-2-2-2-2-211111111-1-1-1-1-1-1-1-111111111-1-1-1-100000000000000000000−i3i3i3−i3−i3i3i3−i300000000
χ3022222222-1-2-2-2222222222222-2-1-1-1-1-1-1-1-2-2-2-2-2-211111111-1-1-1-1-1-1-1-111111111-1-1-1-100000000000000000000i3−i3−i3i3i3−i3−i3i300000000
χ3122222222-1-2-2-222-2-2-2-2-2-2-2-222-2-1-1-1-1-1-1-1-2-2222211111111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000000000000000−i3i3i3−i3i3−i3−i3i300000000
χ3222222222-1-2-2-222-2-2-2-2-2-2-2-222-2-1-1-1-1-1-1-1-2-2222211111111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000000000000000i3−i3−i3i3−i3i3i3−i300000000
χ3322222222-1-2-2-2-2-22222-2-2-2-2-2-2-2-1-1-1-1-1-1-122-2-222-1-1-1-111111111-1-1-1-11111-1-1-1-1111100000000000000002-22-2-1-111-1-11100000000
χ3422222222-1-2-2-2-2-22222-2-2-2-2-2-2-2-1-1-1-1-1-1-122-2-222-1-1-1-111111111-1-1-1-11111-1-1-1-111110000000000000000-22-2211-1-111-1-100000000
χ3522222222-1-2-2-2-2-2-2-2-2-22222-2-2-2-1-1-1-1-1-1-12222-2-2-1-1-1-1111111111111-1-1-1-11111-1-1-1-100000000000000002-2-22-1-11111-1-100000000
χ3622222222-1-2-2-2-2-2-2-2-2-22222-2-2-2-1-1-1-1-1-1-12222-2-2-1-1-1-1111111111111-1-1-1-11111-1-1-1-10000000000000000-222-211-1-1-1-11100000000
χ372222-2-2-2-2222-20022-2-2000000-2222-2-2-2-2002-200000022-2-2000022-2-222-2-20000000022−2−222−2−222−2−222−2−200000000000000000000
χ382222-2-2-2-2222-20022-2-2000000-2222-2-2-2-2002-200000022-2-2000022-2-222-2-200000000−2−222−2−222−2−222−2−22200000000000000000000
χ392222-2-2-2-2222-200-2-222000000-2222-2-2-2-200-2200000022-2-20000-2-222-2-2220000000022−2−222−2−2−2−222−2−22200000000000000000000
χ402222-2-2-2-2222-200-2-222000000-2222-2-2-2-200-2200000022-2-20000-2-222-2-22200000000−2−222−2−22222−2−222−2−200000000000000000000
χ412222-2-2-2-22-2-220022-2-20000002222-2-2-2-200-22000000-2-222000022-2-2-2-22200000000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i200000000000000000000
χ422222-2-2-2-22-2-220022-2-20000002222-2-2-2-200-22000000-2-222000022-2-2-2-22200000000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i200000000000000000000
χ432222-2-2-2-22-2-2200-2-2220000002222-2-2-2-2002-2000000-2-2220000-2-22222-2-200000000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i200000000000000000000
χ442222-2-2-2-22-2-2200-2-2220000002222-2-2-2-2002-2000000-2-2220000-2-22222-2-200000000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i200000000000000000000
χ4522-2-222-2-222-222-2000000002-2-22-2-222-2-22-2000022-2-22-22-222-2-20000000000000000000000002-22-22-22-200000000000000000000
χ4622-2-222-2-222-222-2000000002-2-22-2-222-2-22-2000022-2-22-22-222-2-2000000000000000000000000-22-22-22-2200000000000000000000
χ4722-2-222-2-222-22-2200000000-22-22-2-222-2-2-220000-2-2222-22-2-2-22200000000000000002-22-22-22-20000000000000000000000000000
χ4822-2-222-2-222-22-2200000000-22-22-2-222-2-2-220000-2-2222-22-2-2-2220000000000000000-22-22-22-220000000000000000000000000000
χ4922-2-222-2-22-22-22-2000000002-222-2-222-2-2-220000-2-222-22-2222-2-200000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000000000000000
χ5022-2-222-2-22-22-22-2000000002-222-2-222-2-2-220000-2-222-22-2222-2-20000000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000
χ5122-2-222-2-22-22-2-2200000000-2222-2-222-2-22-2000022-2-2-22-22-2-2220000000000000000000000002i−2i2i−2i−2i2i−2i2i00000000000000000000
χ5222-2-222-2-22-22-2-2200000000-2222-2-222-2-22-2000022-2-2-22-22-2-222000000000000000000000000−2i2i−2i2i2i−2i2i−2i00000000000000000000
χ5322-2-2-2-22222-2-200000022-2-20022-2-2-2-22200002-200002-2-2200000000000022-2-222-2-22−2−222−2−222−2−222−2−2200000000000000000000
χ5422-2-2-2-22222-2-200000022-2-20022-2-2-2-22200002-200002-2-2200000000000022-2-222-2-2−222−2−222−2−222−2−222−200000000000000000000
χ5522-2-2-2-22222-2-2000000-2-2220022-2-2-2-2220000-2200002-2-22000000000000-2-222-2-2222−2−222−2−22−222−2−222−200000000000000000000
χ5622-2-2-2-22222-2-2000000-2-2220022-2-2-2-2220000-2200002-2-22000000000000-2-222-2-222−222−2−222−22−2−222−2−2200000000000000000000
χ5722-2-2-2-2222-22200000022-2-200-22-2-2-2-2220000-220000-222-2000000000000-2-22222-2-2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i200000000000000000000
χ5822-2-2-2-2222-22200000022-2-200-22-2-2-2-2220000-220000-222-2000000000000-2-22222-2-2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i200000000000000000000
χ5922-2-2-2-2222-222000000-2-22200-22-2-2-2-22200002-20000-222-200000000000022-2-2-2-222−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i200000000000000000000
χ6022-2-2-2-2222-222000000-2-22200-22-2-2-2-22200002-20000-222-200000000000022-2-2-2-222i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i200000000000000000000
χ612-22-22-22-220002-22i−2i2i−2i2i−2i2i−2i-220-22-22-22-2000000000000002-22-22i−2i2i−2i000000002i−2i2i−2i00000000000000000000000000002−22−2−i2i2−i2i2
χ622-22-22-22-220002-22i−2i2i−2i2i−2i2i−2i-220-22-22-22-2000000000000002-22-22i−2i2i−2i000000002i−2i2i−2i0000000000000000000000000000−22−22i2−i2i2−i2
χ632-22-22-22-220002-2−2i2i−2i2i−2i2i−2i2i-220-22-22-22-2000000000000002-22-2−2i2i−2i2i00000000−2i2i−2i2i00000000000000000000000000002−22−2i2−i2i2−i2
χ642-22-22-22-220002-2−2i2i−2i2i−2i2i−2i2i-220-22-22-22-2000000000000002-22-2−2i2i−2i2i00000000−2i2i−2i2i0000000000000000000000000000−22−22−i2i2−i2i2
χ652-22-22-22-22000-222i−2i2i−2i−2i2i−2i2i2-20-22-22-22-200000000000000-22-222i−2i2i−2i00000000−2i2i−2i2i0000000000000000000000000000−i2i2i2−i2−222−2
χ662-22-22-22-22000-222i−2i2i−2i−2i2i−2i2i2-20-22-22-22-200000000000000-22-222i−2i2i−2i00000000−2i2i−2i2i0000000000000000000000000000i2−i2−i2i22−2−22
χ672-22-22-22-22000-22−2i2i−2i2i2i−2i2i−2i2-20-22-22-22-200000000000000-22-22−2i2i−2i2i000000002i−2i2i−2i0000000000000000000000000000−i2i2i2−i22−2−22
χ682-22-22-22-22000-22−2i2i−2i2i2i−2i2i−2i2-20-22-22-22-200000000000000-22-22−2i2i−2i2i000000002i−2i2i−2i0000000000000000000000000000i2−i2−i2i2−222−2
χ694444-4-4-4-4-244-40044-4-4000000-4-2-2-22222004-4000000-2-2220000-2-222-2-22200000000000000000000000000000000000000000000
χ704444-4-4-4-4-244-400-4-444000000-4-2-2-2222200-44000000-2-222000022-2-222-2-200000000000000000000000000000000000000000000
χ714444-4-4-4-4-2-4-440044-4-40000004-2-2-2222200-4400000022-2-20000-2-22222-2-200000000000000000000000000000000000000000000
χ724444-4-4-4-4-2-4-4400-4-4440000004-2-2-22222004-400000022-2-2000022-2-2-2-22200000000000000000000000000000000000000000000
χ7344-4-444-4-4-24-444-4000000004-4-4-222-2-2224-40000-2-222-22-22-2-2220000000000000000000000000000000000000000000000000000
χ7444-4-444-4-4-24-44-4400000000-44-4-222-2-222-44000022-2-2-22-2222-2-20000000000000000000000000000000000000000000000000000
χ7544-4-444-4-4-2-44-44-4000000004-44-222-2-222-44000022-2-22-22-2-2-2220000000000000000000000000000000000000000000000000000
χ7644-4-444-4-4-2-44-4-4400000000-444-222-2-2224-40000-2-2222-22-222-2-20000000000000000000000000000000000000000000000000000
χ7744-4-4-4-444-24-4-400000044-4-4004-22222-2-200004-40000-222-2000000000000-2-222-2-222000000000000000000000000000000000000
χ7844-4-4-4-444-24-4-4000000-4-444004-22222-2-20000-440000-222-200000000000022-2-222-2-2000000000000000000000000000000000000
χ7944-4-4-4-444-2-44400000044-4-400-4-22222-2-20000-4400002-2-2200000000000022-2-2-2-222000000000000000000000000000000000000
χ8044-4-4-4-444-2-444000000-4-44400-4-22222-2-200004-400002-2-22000000000000-2-22222-2-2000000000000000000000000000000000000
χ814-44-44-44-4-20004-44i−4i4i−4i4i−4i4i−4i-4402-22-22-2200000000000000-22-22−2i2i−2i2i00000000−2i2i−2i2i000000000000000000000000000000000000
χ824-44-44-44-4-20004-4−4i4i−4i4i−4i4i−4i4i-4402-22-22-2200000000000000-22-222i−2i2i−2i000000002i−2i2i−2i000000000000000000000000000000000000
χ834-44-44-44-4-2000-444i−4i4i−4i−4i4i−4i4i4-402-22-22-22000000000000002-22-2−2i2i−2i2i000000002i−2i2i−2i000000000000000000000000000000000000
χ844-44-44-44-4-2000-44−4i4i−4i4i4i−4i4i−4i4-402-22-22-22000000000000002-22-22i−2i2i−2i00000000−2i2i−2i2i000000000000000000000000000000000000
χ854-44-4-44-444000004i−4i−4i4i0000000-44-4-44-440000000000000000004i−4i−4i4i000000000000000000000000000000000000000000000000
χ864-44-4-44-44400000−4i4i4i−4i0000000-44-4-44-44000000000000000000−4i4i4i−4i000000000000000000000000000000000000000000000000
χ874-44-4-44-44-2000004i−4i−4i4i00000002-222-22-2000000−2i32i3−2i32i300000000−2i2i2i−2i000023−2323−230000000000000000000000000000000000000000
χ884-44-4-44-44-2000004i−4i−4i4i00000002-222-22-20000002i3−2i32i3−2i300000000−2i2i2i−2i0000−2323−23230000000000000000000000000000000000000000
χ894-44-4-44-44-200000−4i4i4i−4i00000002-222-22-2000000−2i32i3−2i32i3000000002i−2i−2i2i0000−2323−23230000000000000000000000000000000000000000
χ904-44-4-44-44-200000−4i4i4i−4i00000002-222-22-20000002i3−2i32i3−2i3000000002i−2i−2i2i000023−2323−230000000000000000000000000000000000000000
χ914-4-444-4-4440004400000000-4-40-4-444-4-44000000000000004-4-440000000000000000000000000000000000000000000000000000
χ924-4-444-4-444000-4-400000000440-4-444-4-4400000000000000-444-40000000000000000000000000000000000000000000000000000
χ934-4-444-4-44-20004400000000-4-4022-2-222-200000000000000-222-2000023−2323−2323−23−23230000000000000000000000000000000000000000
χ944-4-444-4-44-20004400000000-4-4022-2-222-200000000000000-222-20000−2323−2323−232323−230000000000000000000000000000000000000000
χ954-4-444-4-44-2000-4-40000000044022-2-222-2000000000000002-2-22000023−2323−23−232323−230000000000000000000000000000000000000000
χ964-4-444-4-44-2000-4-40000000044022-2-222-2000000000000002-2-220000−2323−232323−23−23230000000000000000000000000000000000000000
χ974-4-44-444-440000000004i−4i−4i4i000-4-44-444-40000000000000000000000000000004i−4i−4i4i000000000000000000000000000000000000
χ984-4-44-444-44000000000−4i4i4i−4i000-4-44-444-4000000000000000000000000000000−4i4i4i−4i000000000000000000000000000000000000
χ994-4-44-444-4-20000000004i−4i−4i4i00022-22-2-22000000−2i32i32i3−2i3000000000000−232323−230000−2i2i2i−2i000000000000000000000000000000000000
χ1004-4-44-444-4-20000000004i−4i−4i4i00022-22-2-220000002i3−2i3−2i32i300000000000023−23−23230000−2i2i2i−2i000000000000000000000000000000000000
χ1014-4-44-444-4-2000000000−4i4i4i−4i00022-22-2-22000000−2i32i32i3−2i300000000000023−23−232300002i−2i−2i2i000000000000000000000000000000000000
χ1024-4-44-444-4-2000000000−4i4i4i−4i00022-22-2-220000002i3−2i3−2i32i3000000000000−232323−2300002i−2i−2i2i000000000000000000000000000000000000

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