Finite Group Databasebeta

← Group #11899770

Character table — Group #11899770

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1122222224444444444444466666666668888888888812121212121212121212121212161616161818242424242424243232363636484848487272
order1233466883612121616242424244848484822446616161616441224244848484848486881212161624244848484812121212242444244848121281616612121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-11111111111111111111111-1-1-1-111-1-1-1-1111-1-1111-1-1-1-1-1-1
χ3111111111111111111111111-11-111111111111111111-11-1-11-1-11111111111-1-1-111-1-1-1-111-1-1-1-1-111-1-1
χ4111111111111111111111111-11-1111111-1-1111111111-11-1-11-1-1111111-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-111-1-111
χ511111111111111111111111-11-11-1-1-1-1-1-1111111111111-111-111-1-1-1-1-1-11111-1-11-1-1111111-1-1-111-1-1-1-1
χ611111111111111111111111-11-11-1-1-1-1-1-1-1-11111111111-111-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1111-1-1-1-1-1-1-11111
χ711111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111111-1-1-1-111
χ811111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11111111-1-1
χ91111111111111-1-11111-1-1-1-1111111-1-1-1-11-1111-1-1-1-1-1-111111-1-111-1-1-1-11-11-11111-1-11-1-11-11-1-11-11-1-11
χ101111111111111-1-11111-1-1-1-1111111-1-1-1-1-11111-1-1-1-1-1-111111-1-111-1-1-1-1-11-1111-1-1111-1-1-111-1-1-11-111-1
χ111111111111111-1-11111-1-1-1-11-11-111-1-1-1-11-1111-1-1-1-1-1-1-11-1-111111-1-1-1-11-11-1-1-1-11-11-1111-1-111-111-11-1
χ121111111111111-1-11111-1-1-1-11-11-111-1-1-1-1-11111-1-1-1-1-1-1-11-1-111111-1-1-1-1-11-11-1-11-11-1-111-11-1111-1-11-11
χ131111111111111-1-11111-1-1-1-1-11-11-1-111111-1111-1-1-1-1-1-11-111-1-1-1-1-111111-11-1-1-11-11-11-1-11-1-1111-1-111-1
χ141111111111111-1-11111-1-1-1-1-11-11-1-11111-11111-1-1-1-1-1-11-111-1-1-1-1-11111-11-11-1-1-11-111-1-1-11-111-111-1-11
χ151111111111111-1-11111-1-1-1-1-1-1-1-1-1-111111-1111-1-1-1-1-1-1-1-1-1-1-111-1-111111-11-111-1-111-1111-11-1-1-11-11-11
χ161111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-11111-1-1-1-1-1-1-1-1-1-1-111-1-11111-11-111111-1-1-111-111-1-11-11-11-1
χ172222222-2-2222200-2-2-2-200002222220000002-2-20000002-2-22200-2-200000000220000-20000-200000000
χ182222222-2-2222200-2-2-2-200002-22-2220000002-2-2000000-2-22-2200-2-200000000-2-2000020000200000000
χ192222222-2-2222200-2-2-2-20000-22-22-2-20000002-2-200000022-22-2002200000000-2-20000-20000200000000
χ202222222-2-2222200-2-2-2-20000-2-2-2-2-2-20000002-2-2000000-222-2-200220000000022000020000-200000000
χ212222-2220022-2-22−2000022−2−222-2-22222−2−200-2002−222−2−2200-2-22−20022−2−20000-22000002−20002−2000000
χ222222-2220022-2-22−2000022−2−22-2-222222−2−200-2002−222−2−2-2002-2−220022−2−200002-200000−22000−22000000
χ232222-2220022-2-22−2000022−2−2-222-2-2-2−2−22200-2002−222−2−2200-222−200−2−22200002-2000002−2000−22000000
χ242222-2220022-2-22−2000022−2−2-2-222-2-2−2−22200-2002−222−2−2-20022−2200−2−2220000-2200000−220002−2000000
χ252222-2220022-2-2−220000−2−22222-2-222−2−22200-200−22−2−222200-2-2−2200−2−2220000-2200000−22000−22000000
χ262222-2220022-2-2−220000−2−2222-2-2222−2−22200-200−22−2−222-2002-22−200−2−22200002-2000002−20002−2000000
χ272222-2220022-2-2−220000−2−222-222-2-2-222−2−200-200−22−2−222200-22−220022−2−200002-200000−220002−2000000
χ282222-2220022-2-2−220000−2−222-2-222-2-222−2−200-200−22−2−222-200222−20022−2−20000-22000002−2000−22000000
χ29222-12-1222-1-1-122222-1-12222020200000022-1-1-1-1-1-1-1-1-1-102-1022000000-1-122002002-1-1-1-1-1000-1-10000
χ30222-12-1222-1-1-122222-1-122220202000000-2-2-1-1-1-1-1-1-1-1-1-102-102200000011-2-200-200-2-1-1-111000110000
χ31222-12-1222-1-1-122222-1-122220-20-200000022-1-1-1-1-1-1-1-1-110-210-2-2000000-1-12200-200-2111-1-1000110000
χ32222-12-1222-1-1-122222-1-122220-20-2000000-2-2-1-1-1-1-1-1-1-1-110-210-2-200000011-2-200200211111000-1-10000
χ33222-12-1222-1-1-12-2-222-1-1-2-2-2-202020000002-2-1-1-1111111-102-10-2-2000000-112-200200-2-111-11000-110000
χ34222-12-1222-1-1-12-2-222-1-1-2-2-2-20202000000-22-1-1-1111111-102-10-2-20000001-1-2200-2002-1111-10001-10000
χ35222-12-1222-1-1-12-2-222-1-1-2-2-2-20-20-20000002-2-1-1-111111110-21022000000-112-200-20021-1-1-110001-10000
χ36222-12-1222-1-1-12-2-222-1-1-2-2-2-20-20-2000000-22-1-1-111111110-210220000001-1-2200200-21-1-11-1000-110000
χ3722-1222-122-1-12-122-1-122-1-1-1-12020-1-1222222-1-1-122-1-1-1-10200-100-1-1-1-1-1-122-1-1000220000-1-100000-1-100
χ3822-1222-122-1-12-122-1-122-1-1-1-12020-1-12222-2-2-1-1-122-1-1-1-10200-100-1-1-1-1-1-1-2-211000-2-2000011000001100
χ3922-1222-122-1-12-122-1-122-1-1-1-1-20-2011-2-2-2-222-1-1-122-1-1-1-10-20010011111122-1-1000-2-20000-1-1000001100
χ4022-1222-122-1-12-122-1-122-1-1-1-1-20-2011-2-2-2-2-2-2-1-1-122-1-1-1-10-200100111111-2-2110002200001100000-1-100
χ4122-1222-122-1-12-1-2-2-1-12211112020-1-1-2-2-2-22-2-1-1-1-2-211110200-100-1-111112-2-110002-20000-1100000-1100
χ4222-1222-122-1-12-1-2-2-1-12211112020-1-1-2-2-2-2-22-1-1-1-2-211110200-100-1-11111-221-1000-2200001-1000001-100
χ4322-1222-122-1-12-1-2-2-1-1221111-20-201122222-2-1-1-1-2-211110-20010011-1-1-1-12-2-11000-220000-11000001-100
χ4422-1222-122-1-12-1-2-2-1-1221111-20-20112222-22-1-1-1-2-211110-20010011-1-1-1-1-221-10002-200001-100000-1100
χ45444-24-24-4-4-2-2-2400-4-4220000040400000000-222000000-20-4-2000000000000000000020000000000000
χ46444-24-24-4-4-2-2-2400-4-42200000-40-400000000-22200000020420000000000000000000-20000000000000
χ47444-2-4-2400-2-22-422−2200002222−22−22040-400000000200−22−2−222-2002022−2200000000000000000−2200000000000
χ48444-2-4-2400-2-22-422−2200002222−22−220-40400000000200−22−2−222200-20−2222000000000000000002−200000000000
χ49444-2-4-2400-2-22-4−22220000−22−222222040-4000000002002−222−2−2-20020−2222000000000000000002−200000000000
χ50444-2-4-2400-2-22-4−22220000−22−2222220-404000000002002−222−2−2200-2022−2200000000000000000−2200000000000
χ5144-2444-2-4-4-2-24-20022-4-400004040-2-2000000-2220000000-400-200220000000000000000000000000000
χ5244-2444-2-4-4-2-24-20022-4-40000-40-4022000000-2220000000400200-2-20000000000000000000000000000
χ5344-24-44-200-2-2-4222−220000−2−22240-40-2-22222−22−220020022−22−2−222000020000−2−222000000000000000000000000
χ5444-24-44-200-2-2-4222−220000−2−222-404022−22−2222220020022−22−2−2220000-2000022−2−2000000000000000000000000
χ5544-24-44-200-2-2-42−2222000022−2−240-40-2-2−22−22222200200−222222−2−200002000022−2−2000000000000000000000000
χ5644-24-44-200-2-2-42−2222000022−2−2-4040222222−22−2200200−222222−2−20000-20000−2−222000000000000000000000000
χ5744-2-24-2-24411-2-244-2-2-2-2-2-2-2-2000000000044111-2-211110000000000000-2-2-2-200000000011000000000
χ5844-2-24-2-24411-2-244-2-2-2-2-2-2-2-20000000000-4-4111-2-2111100000000000002222000000000-1-1000000000
χ5944-2-24-2-24411-2-2-4-4-2-2-2-2222200000000004-411122-1-1-1-10000000000000-22-220000000001-1000000000
χ6044-2-24-2-24411-2-2-4-4-2-2-2-222220000000000-4411122-1-1-1-100000000000002-22-2000000000-11000000000
χ614-4440-4-422−224-4000022−2222−2200000000002ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ4700022−220000000000000002ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47000000000000000000000000
χ624-4440-4-422−224-4000022−2222−220000000000−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ4700022−22000000000000000−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47000000000000000000000000
χ634-4440-4-4−22224-40000−2222−22220000000000−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43000−2222000000000000000−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43000000000000000000000000
χ644-4440-4-4−22224-40000−2222−222200000000002ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ43000−22220000000000000002ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ43000000000000000000000000
χ654-4-240-4222−22-220000−2222−22−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ470000−2i32i32ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47000−2200−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ470000000i6−i6−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47000000000000000000000000
χ664-4-240-4222−22-220000−2222−22−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ4700002i3−2i3−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47000−2200−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ470000000−i6i6ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47000000000000000000000000
χ674-4-240-4222−22-220000−2222−22ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ470000−2i32i3−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47000−2200ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ470000000i6−i6ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47000000000000000000000000
χ684-4-240-4222−22-220000−2222−22ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ4700002i3−2i32ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47000−2200ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ470000000−i6i6−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47000000000000000000000000
χ694-4-240-42−2222-2200002−2−2222−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ430000−2i32i3−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ430002−200−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ430000000−i6i6ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43000000000000000000000000
χ704-4-240-42−2222-2200002−2−2222−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ4300002i3−2i32ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ430002−200−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ430000000i6−i6−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43000000000000000000000000
χ714-4-240-42−2222-2200002−2−2222ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ430000−2i32i32ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ430002−200ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ430000000−i6i6−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43000000000000000000000000
χ724-4-240-42−2222-2200002−2−2222ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ4300002i3−2i3−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ430002−200ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ430000000i6−i6ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43000000000000000000000000
χ7388-4-48-4-4-8-822-4-400444400000000000000002-2-20000000000000000000000000000000000000000000
χ7488-4-4-8-4-400224442−420000−22−222222000000000000-200−222222−2−20000000000000000000000000000000000000
χ7588-4-4-8-4-4002244−424200002222−22−22000000000000-20022−22−2−2220000000000000000000000000000000000000
χ768-88-404-842−42-44000042−42−222200000000000000000−22220000000000000000000000000000000000000000000
χ778-88-404-8−4242-440000−424222−220000000000000000022−220000000000000000000000000000000000000000000
χ788-8-4-404442−422-20000−2222−2222−2ζ11−2ζ13+2ζ29+2ζ432ζ11+2ζ13−2ζ29−2ζ43−2ζ25+2ζ31+2ζ41−2ζ472ζ25−2ζ31−2ζ41+2ζ4700000000000002−200ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ470000000000000000000000000000000000000
χ798-8-4-404442−422-20000−2222−22222ζ11+2ζ13−2ζ29−2ζ43−2ζ11−2ζ13+2ζ29+2ζ432ζ25−2ζ31−2ζ41+2ζ47−2ζ25+2ζ31+2ζ41−2ζ4700000000000002−200−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ470000000000000000000000000000000000000
χ808-8-4-4044−42422-2000022−2222−22−2ζ25+2ζ31+2ζ41−2ζ472ζ25−2ζ31−2ζ41+2ζ472ζ11+2ζ13−2ζ29−2ζ43−2ζ11−2ζ13+2ζ29+2ζ430000000000000−2200ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ430000000000000000000000000000000000000
χ818-8-4-4044−42422-2000022−2222−222ζ25−2ζ31−2ζ41+2ζ47−2ζ25+2ζ31+2ζ41−2ζ47−2ζ11−2ζ13+2ζ29+2ζ432ζ11+2ζ13−2ζ29−2ζ430000000000000−2200−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ430000000000000000000000000000000000000

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