Finite Group Databasebeta

← Group #10949294

Character table — Group #10949294

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size11222224444444444444888888888888888888881212161616161616161616162424242424242448484848
order1223446222444666121212122222444466666612121212121244668812122424242424444444444
χ1111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1
χ41111111111111111111111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ511111111111111111111-1-111-1-11111-1-1-1-111-1-1-1-11111-1-111-1-1-1-11111111-1-1-1-1
χ611111111111111111111-1-111-1-11111-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-111111-1-111-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-111-1-11111-1-1
χ91111-1-11-111-1-11-1-11-1-1111-11-11-11-11111-1-1-1-111-1-1111-11-11-111-1-1-11-11-11-11-11-1
χ101111-1-11-111-1-11-1-11-1-1111-11-11-11-11111-1-1-1-111-1-1-1-11-11-11-111-1-11-11-11-11-11-11
χ111111-1-11-111-1-11-1-11-1-1111-1-111-1-111111-1-1-1-111-1-111-11-11-11-1-111-1-111-1-111-1-11
χ121111-1-11-111-1-11-1-11-1-1111-1-111-1-111111-1-1-1-111-1-1-1-1-11-11-11-1-11111-1-111-1-111-1
χ131111-1-11-111-1-11-1-11-1-111-111-1-111-111-1-111-1-1-1-111111-1-111-1-1-111-11-11-11-1-11-11
χ141111-1-11-111-1-11-1-11-1-111-111-1-111-111-1-111-1-1-1-111-1-11-1-111-1-1-1111-11-11-111-11-1
χ151111-1-11-111-1-11-1-11-1-111-11-11-11-1111-1-111-1-1-1-11111-111-1-1111-1-1-1-111-1-11-111-1
χ161111-1-11-111-1-11-1-11-1-111-11-11-11-1111-1-111-1-1-1-111-1-1-111-1-1111-1-111-1-111-11-1-11
χ1722222222-2-2-2-222222222002200-2-2-2-20000-2-20000002200-2-2000000000000000
χ1822222222-2-2-2-22222222200-2-20022-2-20000-2-2000000-2-20022000000000000000
χ192222222-22-22-2-2-2-2222-2-2000000002-200002-2000000000000000002200-2-20000
χ202222222-22-22-2-2-2-2222-2-2000000002-200002-200000000000000000-2-200220000
χ212222222-2-22-22-2-2-2222-2-200000000-220000-220000220000000000200-2-2000000
χ222222222-2-22-22-2-2-2222-2-200000000-220000-220000-2-20000000000-20022000000
χ232222-2-2222-2-22-2222-2-2-2-2000000002-20000-22000000000000000002-200-220000
χ242222-2-2222-2-22-2222-2-2-2-2000000002-20000-2200000000000000000-22002-20000
χ252222-2-222-222-2-2222-2-2-2-200000000-2200002-20000220000000000-200-22000000
χ262222-2-222-222-2-2222-2-2-2-200000000-2200002-20000-2-200000000002002-2000000
χ272222-2-22-2-2-2222-2-22-2-222002-200-22-2-20000220000002-200-22000000000000000
χ282222-2-22-2-2-2222-2-22-2-22200-22002-2-2-2000022000000-22002-2000000000000000
χ29222-122-1222222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-100-1-122-1-1-1-1-1-100000000000
χ30222-122-1222222-1-1-1-1-1-1-122-2-222-2-2-1-1-1-1-1-1-1-1-1-1-1-10011-2-211111100000000000
χ31222-122-1222222-1-1-1-1-1-1-1-2-222-2-222-1-11111-1-1111100-1-1-2-2-1-1111100000000000
χ32222-122-1222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-11111-1-1111100112211-1-1-1-100000000000
χ33222-122-12-2-2-2-22-1-1-1-1-1-1-1002200-2-211−i3i3−i3i311−i3i3−i3i300-1-10011−i3i3−i3i300000000000
χ34222-122-12-2-2-2-22-1-1-1-1-1-1-1002200-2-211i3−i3i3−i311i3−i3i3−i300-1-10011i3−i3i3−i300000000000
χ35222-122-12-2-2-2-22-1-1-1-1-1-1-100-2-2002211−i3i3−i3i311−i3i3−i3i3001100-1-1i3−i3i3−i300000000000
χ36222-122-12-2-2-2-22-1-1-1-1-1-1-100-2-2002211i3−i3i3−i311i3−i3i3−i3001100-1-1−i3i3−i3i300000000000
χ37222-1-2-2-1-222-2-2211-111-1-12-22-22-22-2-1-1-1-11111-1-11100-112-2-11-1-11100000000000
χ38222-1-2-2-1-222-2-2211-111-1-12-2-222-2-22-1-1-1-11111-1-111001-1-221-111-1-100000000000
χ39222-1-2-2-1-222-2-2211-111-1-1-222-2-222-2-1-111-1-11111-1-100-11-22-1111-1-100000000000
χ40222-1-2-2-1-222-2-2211-111-1-1-22-22-22-22-1-111-1-11111-1-1001-12-21-1-1-11100000000000
χ41222-1-2-2-1-2-2-222211-111-1-1002-200-2211−i3i3i3−i3-1-1−i3i3i3−i300-11001-1−i3i3i3−i300000000000
χ42222-1-2-2-1-2-2-222211-111-1-1002-200-2211i3−i3−i3i3-1-1i3−i3−i3i300-11001-1i3−i3−i3i300000000000
χ43222-1-2-2-1-2-2-222211-111-1-100-22002-211−i3i3i3−i3-1-1−i3i3i3−i3001-100-11i3−i3−i3i300000000000
χ44222-1-2-2-1-2-2-222211-111-1-100-22002-211i3−i3−i3i3-1-1i3−i3−i3i3001-100-11−i3i3i3−i300000000000
χ45444-244-2-44-44-4-422-2-2-22200000000-220000-22000000000000000000000000000
χ46444-244-2-4-44-44-422-2-2-222000000002-200002-2000000000000000000000000000
χ47444-2-4-4-244-4-44-4-2-2-2222200000000-2200002-2000000000000000000000000000
χ48444-2-4-4-24-444-4-4-2-2-22222000000002-20000-22000000000000000000000000000
χ4944-444-4400000000-44-4002200-2-20000222200-2-2-2-200000000000000000000000
χ5044-444-4400000000-44-400-2-200220000-2-2-2-200222200000000000000000000000
χ5144-44-44400000000-4-44002-200-22000022-2-200-2-22200000000000000000000000
χ5244-44-44400000000-4-4400-22002-20000-2-2220022-2-200000000000000000000000
χ5344-4-24-4-2000000−2i32i32-22−2i32i32200-2-20000−1−i3−1+i3−1−i3−1+i3001+i31−i31+i31−i300000000000000000000000
χ5444-4-24-4-2000000−2i32i32-22−2i32i3-2-2002200001+i31−i31+i31−i300−1−i3−1+i3−1−i3−1+i300000000000000000000000
χ5544-4-24-4-20000002i3−2i32-222i3−2i32200-2-20000−1+i3−1−i3−1+i3−1−i3001−i31+i31−i31+i300000000000000000000000
χ5644-4-24-4-20000002i3−2i32-222i3−2i3-2-2002200001−i31+i31−i31+i300−1+i3−1−i3−1+i3−1−i300000000000000000000000
χ5744-4-2-44-2000000−2i32i322-22i3−2i32-200-220000−1+i3−1−i31−i31+i3001−i31+i3−1+i3−1−i300000000000000000000000
χ5844-4-2-44-2000000−2i32i322-22i3−2i3-22002-200001−i31+i3−1+i3−1−i300−1+i3−1−i31−i31+i300000000000000000000000
χ5944-4-2-44-20000002i3−2i322-2−2i32i32-200-220000−1−i3−1+i31+i31−i3001+i31−i3−1−i3−1+i300000000000000000000000
χ6044-4-2-44-20000002i3−2i322-2−2i32i3-22002-200001+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).