Finite Group Databasebeta

← Group #11798455

Character table — Group #11798455

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size1122222222222444444444444444488888888812121212121212121212121216161616161616162424242424243636484848484848727272
order122334466668836666812121212242424242424221212242424242416161616484848484848484866666666161648484848244812122424248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-111-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-11-1-111-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1111
χ511111111111111111111111111111-1-11111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11
χ611111111111111111111111111111-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1
χ711111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-111-1-111-1
χ811111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11
χ922222222222-2-222222-22222-2-2-2-2-2-20022-2-2-2-2-2000000000000000000000000002200000000-2
χ1022222222222-2-222222-22222-2-2-2-2-2-20022-2-2-2-2-200000000000000000000000000-2-2000000002
χ112222-12222-1222-1-1-1-1-122-12-12222-1-122-1-1-1-1-1-1-100000000000022-1-1-1-1-1-122-1-1-1-1000200-1-1000
χ122222-12222-1222-1-1-1-1-122-12-12222-1-122-1-1-1-1-1-1-100000000000022-1-1-1-1-1-1-2-21111000-20011000
χ132222-12222-1222-1-1-1-1-122-12-12222-1-1-2-2-1-1-1-1-1-1-1000000000000-2-211111122-1-1-1-1000-20011000
χ142222-12222-1222-1-1-1-1-122-12-12222-1-1-2-2-1-1-1-1-1-1-1000000000000-2-2111111-2-21111000200-1-1000
χ15222-1222-1-12-122-12-1-1-12-12-12-1-1-1-12222-1-12-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-10000000020-1-100000
χ16222-1222-1-12-122-12-1-1-12-12-12-1-1-1-12222-1-12-1-1-1-1-2-2-2-211111111-1-122-1-1-1-100000000-201100000
χ17222-1222-1-12-122-12-1-1-12-12-12-1-1-1-122-2-2-1-12-1-1-1-12222-1-1-1-1-1-1-1-111-2-2111100000000-201100000
χ18222-1222-1-12-122-12-1-1-12-12-12-1-1-1-122-2-2-1-12-1-1-1-1-2-2-2-21111111111-2-211110000000020-1-100000
χ1922-2222-2-2-222002-2-2-2202-2-22000000002-20000022−2−22222−2−2−2−2000000002−222−2−22-2000000000
χ2022-2222-2-2-222002-2-2-2202-2-22000000002-20000022−2−22222−2−2−2−200000000−22−2−222-22000000000
χ2122-2222-2-2-222002-2-2-2202-2-22000000002-200000−2−222−2−2−2−22222000000002−222−2−2-22000000000
χ2222-2222-2-2-222002-2-2-2202-2-22000000002-200000−2−222−2−2−2−2222200000000−22−2−2222-2000000000
χ2322-222-22-2-222222-2-2-22-2-222-222-2-22200-22-222-2-200000000000000000000000000000000002-20
χ2422-222-22-2-222222-2-2-22-2-222-222-2-22200-22-222-2-20000000000000000000000000000000000-220
χ2522-222-22-2-222-2-22-2-2-222-222-2-2-222-2-22-2-222-2-2220000000000002-22-222-2-200000000000000000
χ2622-222-22-2-222-2-22-2-2-222-222-2-2-222-2-2-22-222-2-222000000000000-22-22-2-22200000000000000000
χ2722-22-1-22-2-2-12-2-2-1111-12-2-121-2-222112-21-1-111-1-10000000000002-2-11-1-111003−33−30000003−3000
χ2822-22-1-22-2-2-12-2-2-1111-12-2-121-2-222112-21-1-111-1-10000000000002-2-11-1-11100−33−33000000−33000
χ2922-22-1-22-2-2-12-2-2-1111-12-2-121-2-22211-221-1-111-1-1000000000000-221-111-1-1003−33−3000000−33000
χ3022-22-1-22-2-2-12-2-2-1111-12-2-121-2-22211-221-1-111-1-1000000000000-221-111-1-100−33−330000003−3000
χ3122-2-12-22112-1-2-2-1-211-1212-1-211-1-1-2-22-21-1211-1-10000−i3−i3i3i3−i3−i3i3i3-112-2-1-1110000000000−i3i300000
χ3222-2-12-22112-1-2-2-1-211-1212-1-211-1-1-2-22-21-1211-1-10000i3i3−i3−i3i3i3−i3−i3-112-2-1-1110000000000i3−i300000
χ3322-2-12-22112-1-2-2-1-211-1212-1-211-1-1-2-2-221-1211-1-10000−i3−i3i3i3−i3−i3i3i31-1-2211-1-10000000000i3−i300000
χ3422-2-12-22112-1-2-2-1-211-1212-1-211-1-1-2-2-221-1211-1-10000i3i3−i3−i3i3i3−i3−i31-1-2211-1-10000000000−i3i300000
χ3544444-4-4444400444440-4-4-4-400000000-4-4000000000000000000000000000000000000000000
χ364444-24444-24-4-4-2-2-2-2-2-44-24-2-4-4-4-42200-2-2222220000000000000000000000000000000000000
χ374444-2-4-444-2400-2-2-2-2-20-42-4200000000220000000000000000000000000006−6−6600000000000
χ384444-2-4-444-2400-2-2-2-2-20-42-420000000022000000000000000000000000000−666−600000000000
χ39444-2444-2-24-2-4-4-24-2-2-2-4-24-242222-4-400-2-2-422220000000000000000000000000000000000000
χ40444-24-4-4-2-24-200-24-2-2-202-42-40000000022000000000i6i6−i6−i6−i6−i6i6i60000000000000000000000000
χ41444-24-4-4-2-24-200-24-2-2-202-42-40000000022000000000−i6−i6i6i6i6i6−i6−i60000000000000000000000000
χ42444-2-244-2-2-2-2441-21114-2-2-2-2-2-2-2-2-2-24411-21111000000000000-2-2-2-2111100000000000000000
χ43444-2-244-2-2-2-2441-21114-2-2-2-2-2-2-2-2-2-2-4-411-211110000000000002222-1-1-1-100000000000000000
χ44444-2-244-2-2-2-2-4-41-2111-4-2-2-2-222222200112-1-1-1-100000000000000003-33-300000000000000000
χ45444-2-244-2-2-2-2-4-41-2111-4-2-2-2-222222200112-1-1-1-10000000000000000-33-3300000000000000000
χ4644-44-24-4-4-4-2400-2222-2042-4-200000000-22000000000000000000000000022−22−2−22200000000000
χ4744-44-24-4-4-4-2400-2222-2042-4-200000000-220000000000000000000000000−222222−2−200000000000
χ4844-44-2-44-4-4-2444-2222-2-4-4-24244-4-4-2-2002-22-2-2220000000000000000000000000000000000000
χ4944-4-244-4224-200-2-422-20-2-42400000000-22000002222−22−22−2−2−2−222220000000000000000000000000
χ5044-4-244-4224-200-2-422-20-2-42400000000-2200000−22−2222222222−2−2−2−20000000000000000000000000
χ5144-4-24-44224-244-2-422-2-424-2-4-2-22244002-2-4-2-2220000000000000000000000000000000000000
χ5244-4-2-2-4422-2-24412-1-11-42-2-22-2-222-2-200-11211-1-100000000000000003-3-3300000000000000000
χ5344-4-2-2-4422-2-24412-1-11-42-2-22-2-222-2-200-11211-1-10000000000000000-333-300000000000000000
χ5444-4-2-2-4422-2-2-4-412-1-1142-2-2222-2-2224-4-11-2-1-111000000000000-22-2211-1-100000000000000000
χ5544-4-2-2-4422-2-2-4-412-1-1142-2-2222-2-222-44-11-2-1-1110000000000002-22-2-1-11100000000000000000
χ564-40440000-4-422−224000-40000022−220022−220000022−2200ζ11+ζ13−ζ25+ζ29−ζ31−ζ41+ζ43−ζ47−ζ11−ζ13+ζ25−ζ29+ζ31+ζ41−ζ43+ζ47ζ11+ζ13+ζ25+ζ29+ζ31+ζ41+ζ43+ζ47−ζ11−ζ13−ζ25−ζ29−ζ31−ζ41−ζ43−ζ47ζ11+ζ13−ζ25+ζ29−ζ31−ζ41+ζ43−ζ47−ζ11−ζ13+ζ25−ζ29+ζ31+ζ41−ζ43+ζ47ζ11+ζ13−ζ25+ζ29−ζ31−ζ41+ζ43−ζ47−ζ11−ζ13+ζ25−ζ29+ζ31+ζ41−ζ43+ζ47ζ11+ζ13+ζ25+ζ29+ζ31+ζ41+ζ43+ζ47−ζ11−ζ13−ζ25−ζ29−ζ31−ζ41−ζ43−ζ47ζ11+ζ13+ζ25+ζ29+ζ31+ζ41+ζ43+ζ47−ζ11−ζ13−ζ25−ζ29−ζ31−ζ41−ζ43−ζ470000000000000000000000000
χ574-40440000-4-422−224000-40000022−220022−220000022−2200−ζ11−ζ13+ζ25−ζ29+ζ31+ζ41−ζ43+ζ47ζ11+ζ13−ζ25+ζ29−ζ31−ζ41+ζ43−ζ47−ζ11−ζ13−ζ25−ζ29−ζ31−ζ41−ζ43−ζ47ζ11+ζ13+ζ25+ζ29+ζ31+ζ41+ζ43+ζ47−ζ11−ζ13+ζ25−ζ29+ζ31+ζ41−ζ43+ζ47ζ11+ζ13−ζ25+ζ29−ζ31−ζ41+ζ43−ζ47−ζ11−ζ13+ζ25−ζ29+ζ31+ζ41−ζ43+ζ47ζ11+ζ13−ζ25+ζ29−ζ31−ζ41+ζ43−ζ47−ζ11−ζ13−ζ25−ζ29−ζ31−ζ41−ζ43−ζ47ζ11+ζ13+ζ25+ζ29+ζ31+ζ41+ζ43+ζ47−ζ11−ζ13−ζ25−ζ29−ζ31−ζ41−ζ43−ζ47ζ11+ζ13+ζ25+ζ29+ζ31+ζ41+ζ43+ζ470000000000000000000000000
χ584-40440000-4-4−22224000-400000−222200−222200000−222200ζ11+ζ13+ζ25+ζ29+ζ31+ζ41+ζ43+ζ47−ζ11−ζ13−ζ25−ζ29−ζ31−ζ41−ζ43−ζ47−ζ11−ζ13+ζ25−ζ29+ζ31+ζ41−ζ43+ζ47ζ11+ζ13−ζ25+ζ29−ζ31−ζ41+ζ43−ζ47ζ11+ζ13+ζ25+ζ29+ζ31+ζ41+ζ43+ζ47−ζ11−ζ13−ζ25−ζ29−ζ31−ζ41−ζ43−ζ47ζ11+ζ13+ζ25+ζ29+ζ31+ζ41+ζ43+ζ47−ζ11−ζ13−ζ25−ζ29−ζ31−ζ41−ζ43−ζ47−ζ11−ζ13+ζ25−ζ29+ζ31+ζ41−ζ43+ζ47ζ11+ζ13−ζ25+ζ29−ζ31−ζ41+ζ43−ζ47−ζ11−ζ13+ζ25−ζ29+ζ31+ζ41−ζ43+ζ47ζ11+ζ13−ζ25+ζ29−ζ31−ζ41+ζ43−ζ470000000000000000000000000
χ594-40440000-4-4−22224000-400000−222200−222200000−222200−ζ11−ζ13−ζ25−ζ29−ζ31−ζ41−ζ43−ζ47ζ11+ζ13+ζ25+ζ29+ζ31+ζ41+ζ43+ζ47ζ11+ζ13−ζ25+ζ29−ζ31−ζ41+ζ43−ζ47−ζ11−ζ13+ζ25−ζ29+ζ31+ζ41−ζ43+ζ47−ζ11−ζ13−ζ25−ζ29−ζ31−ζ41−ζ43−ζ47ζ11+ζ13+ζ25+ζ29+ζ31+ζ41+ζ43+ζ47−ζ11−ζ13−ζ25−ζ29−ζ31−ζ41−ζ43−ζ47ζ11+ζ13+ζ25+ζ29+ζ31+ζ41+ζ43+ζ47ζ11+ζ13−ζ25+ζ29−ζ31−ζ41+ζ43−ζ47−ζ11−ζ13+ζ25−ζ29+ζ31+ζ41−ζ43+ζ47ζ11+ζ13−ζ25+ζ29−ζ31−ζ41+ζ43−ζ47−ζ11−ζ13+ζ25−ζ29+ζ31+ζ41−ζ43+ζ470000000000000000000000000
χ604-40-2400−2i32i3-4222−22-20−2i32i3200000−22i6−i622−2200000−22i6−i6ζ11+ζ13−ζ25+ζ29−ζ31−ζ41+ζ43−ζ47−ζ11−ζ13+ζ25−ζ29+ζ31+ζ41−ζ43+ζ47ζ11+ζ13+ζ25+ζ29+ζ31+ζ41+ζ43+ζ47−ζ11−ζ13−ζ25−ζ29−ζ31−ζ41−ζ43−ζ47−ζ11+ζ25−ζ29+ζ31ζ11−ζ25+ζ29−ζ31−ζ13+ζ41−ζ43+ζ47ζ13−ζ41+ζ43−ζ47−ζ13−ζ41−ζ43−ζ47ζ13+ζ41+ζ43+ζ47−ζ11−ζ25−ζ29−ζ31ζ11+ζ25+ζ29+ζ310000000000000000000000000
χ614-40-2400−2i32i3-4222−22-20−2i32i3200000−22i6−i622−2200000−22i6−i6−ζ11−ζ13+ζ25−ζ29+ζ31+ζ41−ζ43+ζ47ζ11+ζ13−ζ25+ζ29−ζ31−ζ41+ζ43−ζ47−ζ11−ζ13−ζ25−ζ29−ζ31−ζ41−ζ43−ζ47ζ11+ζ13+ζ25+ζ29+ζ31+ζ41+ζ43+ζ47ζ11−ζ25+ζ29−ζ31−ζ11+ζ25−ζ29+ζ31ζ13−ζ41+ζ43−ζ47−ζ13+ζ41−ζ43+ζ47ζ13+ζ41+ζ43+ζ47−ζ13−ζ41−ζ43−ζ47ζ11+ζ25+ζ29+ζ31−ζ11−ζ25−ζ29−ζ310000000000000000000000000
χ624-40-2400−2i32i3-42−2222-20−2i32i32000002−2−i6i6−2222000002−2−i6i6ζ11+ζ13+ζ25+ζ29+ζ31+ζ41+ζ43+ζ47−ζ11−ζ13−ζ25−ζ29−ζ31−ζ41−ζ43−ζ47−ζ11−ζ13+ζ25−ζ29+ζ31+ζ41−ζ43+ζ47ζ11+ζ13−ζ25+ζ29−ζ31−ζ41+ζ43−ζ47−ζ13−ζ41−ζ43−ζ47ζ13+ζ41+ζ43+ζ47−ζ11−ζ25−ζ29−ζ31ζ11+ζ25+ζ29+ζ31ζ11−ζ25+ζ29−ζ31−ζ11+ζ25−ζ29+ζ31ζ13−ζ41+ζ43−ζ47−ζ13+ζ41−ζ43+ζ470000000000000000000000000
χ634-40-2400−2i32i3-42−2222-20−2i32i32000002−2−i6i6−2222000002−2−i6i6−ζ11−ζ13−ζ25−ζ29−ζ31−ζ41−ζ43−ζ47ζ11+ζ13+ζ25+ζ29+ζ31+ζ41+ζ43+ζ47ζ11+ζ13−ζ25+ζ29−ζ31−ζ41+ζ43−ζ47−ζ11−ζ13+ζ25−ζ29+ζ31+ζ41−ζ43+ζ47ζ13+ζ41+ζ43+ζ47−ζ13−ζ41−ζ43−ζ47ζ11+ζ25+ζ29+ζ31−ζ11−ζ25−ζ29−ζ31−ζ11+ζ25−ζ29+ζ31ζ11−ζ25+ζ29−ζ31−ζ13+ζ41−ζ43+ζ47ζ13−ζ41+ζ43−ζ470000000000000000000000000
χ644-40-24002i3−2i3-4222−22-202i3−2i3200000−22−i6i622−2200000−22−i6i6ζ11+ζ13−ζ25+ζ29−ζ31−ζ41+ζ43−ζ47−ζ11−ζ13+ζ25−ζ29+ζ31+ζ41−ζ43+ζ47ζ11+ζ13+ζ25+ζ29+ζ31+ζ41+ζ43+ζ47−ζ11−ζ13−ζ25−ζ29−ζ31−ζ41−ζ43−ζ47−ζ13+ζ41−ζ43+ζ47ζ13−ζ41+ζ43−ζ47−ζ11+ζ25−ζ29+ζ31ζ11−ζ25+ζ29−ζ31−ζ11−ζ25−ζ29−ζ31ζ11+ζ25+ζ29+ζ31−ζ13−ζ41−ζ43−ζ47ζ13+ζ41+ζ43+ζ470000000000000000000000000
χ654-40-24002i3−2i3-4222−22-202i3−2i3200000−22−i6i622−2200000−22−i6i6−ζ11−ζ13+ζ25−ζ29+ζ31+ζ41−ζ43+ζ47ζ11+ζ13−ζ25+ζ29−ζ31−ζ41+ζ43−ζ47−ζ11−ζ13−ζ25−ζ29−ζ31−ζ41−ζ43−ζ47ζ11+ζ13+ζ25+ζ29+ζ31+ζ41+ζ43+ζ47ζ13−ζ41+ζ43−ζ47−ζ13+ζ41−ζ43+ζ47ζ11−ζ25+ζ29−ζ31−ζ11+ζ25−ζ29+ζ31ζ11+ζ25+ζ29+ζ31−ζ11−ζ25−ζ29−ζ31ζ13+ζ41+ζ43+ζ47−ζ13−ζ41−ζ43−ζ470000000000000000000000000
χ664-40-24002i3−2i3-42−2222-202i3−2i32000002−2i6−i6−2222000002−2i6−i6ζ11+ζ13+ζ25+ζ29+ζ31+ζ41+ζ43+ζ47−ζ11−ζ13−ζ25−ζ29−ζ31−ζ41−ζ43−ζ47−ζ11−ζ13+ζ25−ζ29+ζ31+ζ41−ζ43+ζ47ζ11+ζ13−ζ25+ζ29−ζ31−ζ41+ζ43−ζ47−ζ11−ζ25−ζ29−ζ31ζ11+ζ25+ζ29+ζ31−ζ13−ζ41−ζ43−ζ47ζ13+ζ41+ζ43+ζ47ζ13−ζ41+ζ43−ζ47−ζ13+ζ41−ζ43+ζ47ζ11−ζ25+ζ29−ζ31−ζ11+ζ25−ζ29+ζ310000000000000000000000000
χ674-40-24002i3−2i3-42−2222-202i3−2i32000002−2i6−i6−2222000002−2i6−i6−ζ11−ζ13−ζ25−ζ29−ζ31−ζ41−ζ43−ζ47ζ11+ζ13+ζ25+ζ29+ζ31+ζ41+ζ43+ζ47ζ11+ζ13−ζ25+ζ29−ζ31−ζ41+ζ43−ζ47−ζ11−ζ13+ζ25−ζ29+ζ31+ζ41−ζ43+ζ47ζ11+ζ25+ζ29+ζ31−ζ11−ζ25−ζ29−ζ31ζ13+ζ41+ζ43+ζ47−ζ13−ζ41−ζ43−ζ47−ζ13+ζ41−ζ43+ζ47ζ13−ζ41+ζ43−ζ47−ζ11+ζ25−ζ29+ζ31ζ11−ζ25+ζ29−ζ310000000000000000000000000
χ68888-4-4-8-8-4-4-4-4002-42220444400000000-2-2000000000000000000000000000000000000000000
χ6988-8-4-48-844-4-40024-2-220-444-4000000002-2000000000000000000000000000000000000000000
χ708-808-400004-842−42-400040000042−4200−222200000−2222000000000000000000000000000000000000000
χ718-808-400004-8−4242-4000400000−42420022−220000022−22000000000000000000000000000000000000000
χ728-80-4-400−4i34i34442−42202i3−2i3-200000−22222i6−2i6−2222000002−2−i6i60000000000000000000000000000000000000
χ738-80-4-400−4i34i344−4242202i3−2i3-20000022−22−2i62i622−2200000−22i6−i60000000000000000000000000000000000000
χ748-80-4-4004i3−4i34442−4220−2i32i3-200000−2222−2i62i6−2222000002−2i6−i60000000000000000000000000000000000000
χ758-80-4-4004i3−4i344−424220−2i32i3-20000022−222i6−2i622−2200000−22−i6i60000000000000000000000000000000000000

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