Finite Group Databasebeta

← Group #11800159

Character table — Group #11800159

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222222222444444444444444488888812121212121212121212121212121212121212121212121216161616161616161636363636484848484848144
order1222334466666688883666121212122424242424242424121224242424161616161616161648484848484848484848484848484848266666666448844121212122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11-111-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111
χ51111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-11-1-111-1
χ61111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-11
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1
χ922222222222222-2-2-2-222222222-2-2-2-2-2-2-2-222-2-2-2-200000000000000000000000000000000022-2-20000000
χ1022222222222222-2-2-2-222222222-2-2-2-2-2-2-2-222-2-2-2-2000000000000000000000000000000000-2-2220000000
χ11222222-2-222222200002222-2-2-2-200000000-2-2000022−2−222−2−22222−2−2−2−22222−2−2−2−20000000002-2000000000
χ12222222-2-222222200002222-2-2-2-200000000-2-2000022−2−2−2−2222222−2−2−2−2−2−2−2−22222000000000-22000000000
χ13222222-2-222222200002222-2-2-2-200000000-2-20000−2−22222−2−2−2−2−2−222222222−2−2−2−2000000000-22000000000
χ14222222-2-222222200002222-2-2-2-200000000-2-20000−2−222−2−222−2−2−2−22222−2−2−2−222220000000002-2000000000
χ1522222-1222-12-12-12222-1-1-1-12-12-122-1-122-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1222-1-1-1-1-1-100000200-1-10
χ1622222-1222-12-12-12222-1-1-1-12-12-122-1-122-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1-2-2-211111100000-200110
χ1722222-1222-12-12-12222-1-1-1-12-12-122-1-122-1-1-1-1-1-1-1-10000-2-2-2-20000000011111111222-1-1-1-1-1-100000-200110
χ1822222-1222-12-12-12222-1-1-1-12-12-122-1-122-1-1-1-1-1-1-1-10000-2-2-2-20000000011111111-2-2-211111100000200-1-10
χ192222-1222-12-12-122222-1-1-1-1-12-12-1-122-1-122-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000002-1-122-1-1-1-1000020-1-1000
χ202222-1222-12-12-122222-1-1-1-1-12-12-1-122-1-122-1-1-1-1-1-122220000-1-1-1-1-1-1-1-100000000-211-2-211110000-2011000
χ212222-1222-12-12-122222-1-1-1-1-12-12-1-122-1-122-1-1-1-1-1-1-2-2-2-2000011111111000000002-1-122-1-1-1-10000-2011000
χ222222-1222-12-12-122222-1-1-1-1-12-12-1-122-1-122-1-1-1-1-1-1-2-2-2-200001111111100000000-211-2-21111000020-1-1000
χ2322-2-2222-2-2-222-2-222-2-22-2-22-2-22222-2-2-2-222-2222-2-22i−2i2i−2i00002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000
χ2422-2-2222-2-2-222-2-222-2-22-2-22-2-22222-2-2-2-222-2222-2-2−2i2i−2i2i0000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000
χ2522-2-2222-2-2-222-2-2-2-2222-2-22-2-222-2-22222-2-2-22-2-22200002i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i00000000000000000000
χ2622-2-2222-2-2-222-2-2-2-2222-2-22-2-222-2-22222-2-2-22-2-2220000−2i2i−2i2i00000000−2i−2i2i2i−2i−2i2i2i00000000000000000000
χ2722-2-222-22-2-222-2-200002-2-2222-2-2000000002-20000−i2i2i2−i2−i2i2i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2000000000002-20000000
χ2822-2-222-22-2-222-2-200002-2-2222-2-2000000002-20000−i2i2i2−i2i2−i2−i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i200000000000-220000000
χ2922-2-222-22-2-222-2-200002-2-2222-2-2000000002-20000i2−i2−i2i2−i2i2i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i200000000000-220000000
χ3022-2-222-22-2-222-2-200002-2-2222-2-2000000002-20000i2−i2−i2i2i2−i2−i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2000000000002-20000000
χ3122-2-22-12-2-212-1-21-2-222-111-1-212-1-2-2-1-122111-111-1-100002i−2i2i−2i00000000−i−iii−i−iii000−i3i3−i3−i3i3i3000000003−30
χ3222-2-22-12-2-212-1-21-2-222-111-1-212-1-2-2-1-122111-111-1-100002i−2i2i−2i00000000−i−iii−i−iii000i3−i3i3i3−i3−i300000000−330
χ3322-2-22-12-2-212-1-21-2-222-111-1-212-1-2-2-1-122111-111-1-10000−2i2i−2i2i00000000ii−i−iii−i−i000−i3i3−i3−i3i3i300000000−330
χ3422-2-22-12-2-212-1-21-2-222-111-1-212-1-2-2-1-122111-111-1-10000−2i2i−2i2i00000000ii−i−iii−i−i000i3−i3i3i3−i3−i3000000003−30
χ3522-2-2-122-21-2-121-222-2-2-111-11-2-12-1-1-2-211221-1-1-1112i−2i2i−2i0000−i−iii−i−iii000000000−i3i300−i3i3−i3i30000003−3000
χ3622-2-2-122-21-2-121-222-2-2-111-11-2-12-1-1-2-211221-1-1-1112i−2i2i−2i0000−i−iii−i−iii000000000i3−i300i3−i3i3−i3000000−33000
χ3722-2-2-122-21-2-121-222-2-2-111-11-2-12-1-1-2-211221-1-1-111−2i2i−2i2i0000ii−i−iii−i−i000000000−i3i300−i3i3−i3i3000000−33000
χ3822-2-2-122-21-2-121-222-2-2-111-11-2-12-1-1-2-211221-1-1-111−2i2i−2i2i0000ii−i−iii−i−i000000000i3−i300i3−i3i3−i30000003−3000
χ3944444-2444-24-24-2-4-4-4-4-2-2-2-24-24-2-4-422-4-422-2-2222200000000000000000000000000000000000000000000
χ4044444-2-4-44-24-24-20000-2-2-2-2-42-420000000022000000002222−22−2200000000−2−2−2−2222200000000000000000000
χ4144444-2-4-44-24-24-20000-2-2-2-2-42-42000000002200000000−22−222222000000002222−2−2−2−200000000000000000000
χ424444-2444-24-24-24-4-4-4-4-2-2-2-2-24-2422-4-422-4-4-2-2222200000000000000000000000000000000000000000000
χ434444-24-4-4-24-24-240000-2-2-2-22-42-4000000002200002222−22−220000−2−2−2−222220000000000000000000000000000
χ444444-24-4-4-24-24-240000-2-2-2-22-42-400000000220000−22−22222200002222−2−2−2−20000000000000000000000000000
χ454444-2-244-2-2-2-2-2-244441111-2-2-2-2-2-2-2-2-2-2-2-21111110000000000000000000000004-2-2-2-2111100000000000
χ464444-2-244-2-2-2-2-2-244441111-2-2-2-2-2-2-2-2-2-2-2-2111111000000000000000000000000-42222-1-1-1-100000000000
χ474444-2-244-2-2-2-2-2-2-4-4-4-41111-2-2-2-22222222211-1-1-1-1000000000000000000000000000003-3-3300000000000
χ484444-2-244-2-2-2-2-2-2-4-4-4-41111-2-2-2-22222222211-1-1-1-100000000000000000000000000000-333-300000000000
χ4944-4-44-24-4-424-2-4244-4-4-222-2-424-24422-4-4-2-22-2-2-22200000000000000000000000000000000000000000000
χ5044-4-44-2-44-424-2-420000-222-24-2-4200000000-2200000000−2i22i22i2−2i200000000i2i2−i2−i2−i2−i2i2i200000000000000000000
χ5144-4-44-2-44-424-2-420000-222-24-2-4200000000-22000000002i2−2i2−2i22i200000000−i2−i2i2i2i2i2−i2−i200000000000000000000
χ5244-4-4-244-42-4-242-4-4-444-222-22-4-242244-2-2-4-42-222-2-200000000000000000000000000000000000000000000
χ5344-4-4-24-442-4-242-40000-222-2-242-400000000-220000−2i22i22i2−2i20000i2i2−i2−i2−i2−i2i2i20000000000000000000000000000
χ5444-4-4-24-442-4-242-40000-222-2-242-400000000-2200002i2−2i2−2i22i20000−i2−i2i2i2i2i2−i2−i20000000000000000000000000000
χ5544-4-4-2-24-422-2-22244-4-41-1-1122-2-2-2-22222-2-2-1111-1-10000000000000000000000000−2i32i300i3−i3i3−i300000000000
χ5644-4-4-2-24-422-2-22244-4-41-1-1122-2-2-2-22222-2-2-1111-1-100000000000000000000000002i3−2i300−i3i3−i3i300000000000
χ5744-4-4-2-24-422-2-222-4-4441-1-1122-2-222-2-2-2-222-11-1-111000000000000000000000000000−2i32i3i3i3−i3−i300000000000
χ5844-4-4-2-24-422-2-222-4-4441-1-1122-2-222-2-2-2-222-11-1-1110000000000000000000000000002i3−2i3−i3−i3i3i300000000000
χ594-44-444004-4-4-4-4422−2222−2244-4-4000022−2222−2222−2222−220022−2222−2200000000000000000000000000000000000000000000
χ604-44-444004-4-4-4-44−2222−222244-4-40000−2222−2222−2222−222200−2222−222200000000000000000000000000000000000000000000
χ614-44-44-20042-42-4-222−2222−22-2-222000022−22−2222−22−2200−22−220000000000000000−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ4700000000000000000000
χ624-44-44-20042-42-4-222−2222−22-2-222000022−22−2222−22−2200−22−220000000000000000ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ4700000000000000000000
χ634-44-44-20042-42-4-2−2222−2222-2-2220000−22222−2−22222−2002−22−20000000000000000−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ4300000000000000000000
χ644-44-44-20042-42-4-2−2222−2222-2-2220000−22222−2−22222−2002−22−20000000000000000ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ4300000000000000000000
χ654-44-4-2400-2-42-42422−2222−22-2-2220000−2222−22−2222−2200−22−2200000000−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ470000000000000000000000000000
χ664-44-4-2400-2-42-42422−2222−22-2-2220000−2222−22−2222−2200−22−2200000000ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ470000000000000000000000000000
χ674-44-4-2400-2-42-424−2222−2222-2-22200002−2−22222−2−2222002−22−200000000−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ430000000000000000000000000000
χ684-44-4-2400-2-42-424−2222−2222-2-22200002−2−22222−2−2222002−22−200000000ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ430000000000000000000000000000
χ694-4-444400-44-4-44-422−22−22224-44-4000022−22−2222−222222−220022−22−222200000000000000000000000000000000000000000000
χ704-4-444400-44-4-44-4−222222−224-44-40000−222222−2222−22−222200−222222−2200000000000000000000000000000000000000000000
χ714-4-444-200-4-2-424222−22−2222-22-22000022−222−2−2222−2200−222−20000000000000000−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ4700000000000000000000
χ724-4-444-200-4-2-424222−22−2222-22-22000022−222−2−2222−2200−222−20000000000000000ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ4700000000000000000000
χ734-4-444-200-4-2-4242−222222−22-22-220000−2222−2222−222−2002−2−220000000000000000−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ4300000000000000000000
χ744-4-444-200-4-2-4242−222222−22-22-220000−2222−2222−222−2002−2−220000000000000000ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ4300000000000000000000
χ754-4-44-2400242-4-2-422−22−2222-22-220000−22−22222−222−2200−222−200000000−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ430000000000000000000000000000
χ764-4-44-2400242-4-2-422−22−2222-22-220000−22−22222−222−2200−222−200000000ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ430000000000000000000000000000
χ774-4-44-2400242-4-2-4−222222−22-22-2200002−222−22−22−2222002−2−2200000000−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ470000000000000000000000000000
χ784-4-44-2400242-4-2-4−222222−22-22-2200002−222−22−22−2222002−2−2200000000ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ470000000000000000000000000000
χ798888-4-4-8-8-4-4-4-4-4-400002222444400000000-2-2000000000000000000000000000000000000000000000000
χ8088-8-8-4-4-8844-4-44400002-2-22-4-444000000002-2000000000000000000000000000000000000000000000000
χ818-88-8-4-400-44444-442−4242−4222-2-20000−2222−2222−2222−2222002−22−200000000000000000000000000000000000000000000
χ828-88-8-4-400-44444-4−4242−424222-2-2000022−2222−2222−2222−2200−22−2200000000000000000000000000000000000000000000
χ838-8-88-4-4004-444-4442−42−42422-22-20000−222222−2222−22−2222002−2−2200000000000000000000000000000000000000000000
χ848-8-88-4-4004-444-44−424242−422-22-2000022−22−2222−222222−2200−222−200000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.