Finite Group Databasebeta

← Group #10949291

Character table — Group #10949291

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size11222224444444444444888888888888888888881212161616161616161616162424242424242448484848
order122344622244466612121212224444446666661212121212124444121212121212121222244444488
χ1111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1
χ4111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ511111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111111-1-1-1-1
χ611111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111111-1-111-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-111-1-11111-1-1
χ91111-1-11-111-1-11111-1-1-1-11-11-11-11-11-111-1-11-111-1-1111-11-11-111-1-1-11-11-11-11-11-1
χ101111-1-11-111-1-11111-1-1-1-11-11-11-11-11-111-1-11-111-1-1-1-11-11-11-111-1-11-11-11-11-11-11
χ111111-1-11-111-1-11111-1-1-1-11-11-1-11-111-111-1-11-111-1-111-11-11-11-1-111-1-111-1-111-1-11
χ121111-1-11-111-1-11111-1-1-1-11-11-1-11-111-111-1-11-111-1-1-1-1-11-11-11-1-11111-1-111-1-111-1
χ131111-1-11-111-1-11111-1-1-1-1-11-111-11-11-1-1-1111-1-1-11111-111-11-1-1-111-11-11-11-1-11-11
χ141111-1-11-111-1-11111-1-1-1-1-11-111-11-11-1-1-1111-1-1-111-1-1-111-11-1-1-1111-11-11-111-11-1
χ151111-1-11-111-1-11111-1-1-1-1-11-11-11-111-1-1-1111-1-1-111111-1-11-1111-1-1-1-111-1-11-111-1
χ161111-1-11-111-1-11111-1-1-1-1-11-11-11-111-1-1-1111-1-1-111-1-11-1-11-1111-1-111-1-111-11-1-11
χ1722222222-2-2-2-222-2-222-2-200000000-2200002-2000000000000000002200-2-20000
χ1822222222-2-2-2-222-2-222-2-200000000-2200002-200000000000000000-2-200220000
χ192222222-22-22-2-22222222000022-2-2-2-20000-2-20000000022-2-2000000000000000
χ202222222-22-22-2-222222220000-2-222-2-20000-2-200000000-2-222000000000000000
χ212222222-2-22-22-22-2-222-2-2000000002-20000-220000220000000000200-2-2000000
χ222222222-2-22-22-22-2-222-2-2000000002-20000-220000-2-20000000000-20022000000
χ232222-2-2222-2-22-2222-2-2-2-200002-2-22-220000-22000000002-2-22000000000000000
χ242222-2-2222-2-22-2222-2-2-2-20000-222-2-220000-2200000000-222-2000000000000000
χ252222-2-222-222-2-22-2-2-2-22200000000220000-2-20000220000000000-200-22000000
χ262222-2-222-222-2-22-2-2-2-22200000000220000-2-20000-2-200000000002002-2000000
χ272222-2-22-2-2-22222-2-2-2-22200000000-2-2000022000000000000000002-200-220000
χ282222-2-22-2-2-22222-2-2-2-22200000000-2-200002200000000000000000-22002-20000
χ29222-122-1222222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-10022-1-1-1-1-1-1-1-100000000000
χ30222-122-1222222-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-100-2-21111111100000000000
χ31222-122-1222222-1-1-1-1-1-1-1-2-2-2-22222-1-11111-1-1111100-2-2-1-1-1-1111100000000000
χ32222-122-1222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-11111-1-1111100221111-1-1-1-100000000000
χ33222-122-1-22-22-2-2-1-1-1-1-1-1-1000022-2-211−i3i3−i3i311−i3i3−i3i30000-1-111−i3i3−i3i300000000000
χ34222-122-1-22-22-2-2-1-1-1-1-1-1-1000022-2-211i3−i3i3−i311i3−i3i3−i30000-1-111i3−i3i3−i300000000000
χ35222-122-1-22-22-2-2-1-1-1-1-1-1-10000-2-22211−i3i3−i3i311−i3i3−i3i3000011-1-1i3−i3i3−i300000000000
χ36222-122-1-22-22-2-2-1-1-1-1-1-1-10000-2-22211i3−i3i3−i311i3−i3i3−i3000011-1-1−i3i3−i3i300000000000
χ37222-1-2-2-122-2-22-2-1-1-1111100002-2-221-1−i3i3i3−i31-1−i3i3i3−i30000-111-1−i3i3i3−i300000000000
χ38222-1-2-2-122-2-22-2-1-1-1111100002-2-221-1i3−i3−i3i31-1i3−i3−i3i30000-111-1i3−i3−i3i300000000000
χ39222-1-2-2-122-2-22-2-1-1-111110000-222-21-1−i3i3i3−i31-1−i3i3i3−i300001-1-11i3−i3−i3i300000000000
χ40222-1-2-2-122-2-22-2-1-1-111110000-222-21-1i3−i3−i3i31-1i3−i3−i3i300001-1-11−i3i3i3−i300000000000
χ41222-1-2-2-1-222-2-22-1-1-111112-22-22-22-2-11-1-111-11-1-111002-2-11-11-1-11100000000000
χ42222-1-2-2-1-222-2-22-1-1-111112-22-2-22-22-11-1-111-11-1-11100-221-11-111-1-100000000000
χ43222-1-2-2-1-222-2-22-1-1-11111-22-222-22-2-1111-1-1-1111-1-100-22-11-1111-1-100000000000
χ44222-1-2-2-1-222-2-22-1-1-11111-22-22-22-22-1111-1-1-1111-1-1002-21-11-1-1-11100000000000
χ45444-244-24-4-4-4-44-222-2-222000000002-20000-22000000000000000000000000000
χ46444-244-2-4-44-44-4-222-2-22200000000-2200002-2000000000000000000000000000
χ47444-2-4-4-24-444-4-4-22222-2-200000000-2-2000022000000000000000000000000000
χ48444-2-4-4-2-4-4-4444-22222-2-200000000220000-2-2000000000000000000000000000
χ4944-444-44000000-4004-40022-2-2000000222200-2-2-2-200000000000000000000000
χ5044-444-44000000-4004-400-2-222000000-2-2-2-200222200000000000000000000000
χ5144-44-444000000-400-44002-2-2200000022-2-200-2-22200000000000000000000000
χ5244-44-444000000-400-4400-222-2000000-2-2220022-2-200000000000000000000000
χ5344-4-24-4-20000002−2i32i3-22−2i32i322-2-2000000−1−i3−1+i3−1−i3−1+i3001+i31−i31+i31−i300000000000000000000000
χ5444-4-24-4-20000002−2i32i3-22−2i32i3-2-2220000001+i31−i31+i31−i300−1−i3−1+i3−1−i3−1+i300000000000000000000000
χ5544-4-24-4-200000022i3−2i3-222i3−2i322-2-2000000−1+i3−1−i3−1+i3−1−i3001−i31+i31−i31+i300000000000000000000000
χ5644-4-24-4-200000022i3−2i3-222i3−2i3-2-2220000001−i31+i31−i31+i300−1+i3−1−i3−1+i3−1−i300000000000000000000000
χ5744-4-2-44-20000002−2i32i32-22i3−2i32-2-22000000−1−i3−1+i31+i31−i3001+i31−i3−1−i3−1+i300000000000000000000000
χ5844-4-2-44-20000002−2i32i32-22i3−2i3-222-20000001+i31−i3−1−i3−1+i300−1−i3−1+i31+i31−i300000000000000000000000
χ5944-4-2-44-200000022i3−2i32-2−2i32i32-2-22000000−1+i3−1−i31−i31+i3001−i31+i3−1+i3−1−i300000000000000000000000
χ6044-4-2-44-200000022i3−2i32-2−2i32i3-222-20000001−i31+i3−1+i3−1−i300−1+i3−1−i31−i31+i300000000000000000000000
χ618-80800-80000000000000000000000000000000004i−4i000000000000000000000
χ628-80800-8000000000000000000000000000000000−4i4i000000000000000000000
χ6316-160-800800000000000000000000000000000000000000000000000000000000

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