Finite Group Databasebeta

← Group #14316663

Character table — Group #14316663

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size11222222222444444444444444444488888888888888888888888888881616161616161616161620202020202020202020202040404040404048484848484848484848120120240
order1223556661010224441010121212121515303030303030266661010101012202020202020606060606060606060606060101030303030303030302222666666664412121212442020202020202020248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ51111111111111-1-1111-1-1-1-111111111-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11-111-1-11-11111-1-1-1-111-1
χ61111111111111-1-1111-1-1-1-111111111-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11-111-1-1-11-1-1-1-11111-1-11
χ71111111111111-1-1111-1-1-1-111111111-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-11-1-1111-11111-1-1-1-1-1-11
χ81111111111111-1-1111-1-1-1-111111111-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-11-1-111-11-1-1-1-1111111-1
χ9222222222222-200-22200002222222202-20022-2-2-2-2-20000-2-2-2-2000000000022-2-200000022000022220-200-2-20000000000000
χ10222222222222-200-22200002222222202-20022-2-2-2-2-20000-2-2-2-2000000000022-2-2000000-2-20000-2-2-2-20200220000000000000
χ1122222222222-2200-2220000222222220-2200-2-222-2-2-20000-2-2-2-20000000000-2-2220000220022220000-20-2-2000000000000000
χ1222222222222-2200-2220000222222220-2200-2-222-2-2-20000-2-2-2-20000000000-2-2220000-2-200-2-2-2-200002022000000000000000
χ1322222222222-2-222222222222222222-2-2-2-2-2-2-2-2-22222222222222222222-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000
χ1422222222222-2-2-2-2222-2-2-2-2222222222-2-222-2-2-2-2222-2-2-2-22222-2-2-2-2-2-2-2-222-2-2-2-222220000000000000000000000000000000
χ152222−1−52−1+52222−1−52−1+5222222−1−52−1+522222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+5222222−1−52−1+52−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200000000000000000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000
χ162222−1−52−1+52222−1−52−1+5222222−1−52−1+522222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+5222222−1−52−1+52−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52000000000000000000-2-21+521+521−521−521+521+521−521−52000
χ172222−1−52−1+52222−1−52−1+5222-2-22−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-222-2-2−1−52−1+52−1−52−1+522−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521−52−1−52−1+52−1−52−1+521+521+521−521−520000000000000000002-2−1−52−1−52−1+52−1+521+521+521−521−52000
χ182222−1−52−1+52222−1−52−1+5222-2-22−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-222-2-2−1−52−1+52−1−52−1+522−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521−52−1−52−1+52−1−52−1+521+521+521−521−52000000000000000000-221+521+521−521−52−1−52−1−52−1+52−1+52000
χ192222−1−52−1+52222−1−52−1+52-2-2222−1−52−1+522222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-2-2-2-21+521−521+521−522−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521−521+521−521+521−521+521+521−521−5200000000000000000000−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47000
χ202222−1−52−1+52222−1−52−1+52-2-2222−1−52−1+522222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-2-2-2-21+521−521+521−522−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521−521+521−521+521−521+521+521−521−5200000000000000000000ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47000
χ212222−1−52−1+52222−1−52−1+52-2-2-2-22−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522-2-2221+521−521+521−522−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+5200000000000000000000−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47000
χ222222−1−52−1+52222−1−52−1+52-2-2-2-22−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522-2-2221+521−521+521−522−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+5200000000000000000000ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47000
χ232222−1+52−1−52222−1+52−1−5222222−1+52−1−522222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5222222−1+52−1−52−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200000000000000000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000
χ242222−1+52−1−52222−1+52−1−5222222−1+52−1−522222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5222222−1+52−1−52−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52000000000000000000-2-21−521−521+521+521−521−521+521+52000
χ252222−1+52−1−52222−1+52−1−5222-2-22−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-222-2-2−1+52−1−52−1+52−1−522−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521+52−1+52−1−52−1+52−1−521−521−521+521+520000000000000000002-2−1+52−1+52−1−52−1−521−521−521+521+52000
χ262222−1+52−1−52222−1+52−1−5222-2-22−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-222-2-2−1+52−1−52−1+52−1−522−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521+52−1+52−1−52−1+52−1−521−521−521+521+52000000000000000000-221−521−521+521+52−1+52−1+52−1−52−1−52000
χ272222−1+52−1−52222−1+52−1−52-2-2222−1+52−1−522222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-2-2-2-21−521+521−521+522−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521+521−521+521−521+521−521−521+521+5200000000000000000000ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59000
χ282222−1+52−1−52222−1+52−1−52-2-2222−1+52−1−522222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-2-2-2-21−521+521−521+522−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521+521−521+521−521+521−521−521+521+5200000000000000000000−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59000
χ292222−1+52−1−52222−1+52−1−52-2-2-2-22−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522-2-2221−521+521−521+522−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−5200000000000000000000ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59000
χ302222−1+52−1−52222−1+52−1−52-2-2-2-22−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522-2-2221−521+521−521+522−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−5200000000000000000000−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59000
χ31222-122-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-12222-1222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-10000000000000
χ32222-122-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-12222-1222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-211111111-2-211110000000000000
χ33222-122-1-1-12222-2-22221111-1-1-1-1-1-1-1-1-2-1-1112222-122-2-2-2-2-1-1-1-111111111-2-2-1-1-1-1111122-2-2-1-1-1-111112-2-1-1110000000000000
χ34222-122-1-1-12222-2-22221111-1-1-1-1-1-1-1-1-2-1-1112222-122-2-2-2-2-1-1-1-111111111-2-2-1-1-1-11111-2-2221111-1-1-1-1-2211-1-10000000000000
χ35222-122-1-1-1222-200-222−i3−i3i3i3-1-1-1-1-1-1-1-10-11−i3i322-2-21-2-200001111−i3−i3i3i3−i3−i3i3i300-1-111−i3i3−i3i30022−i3−i3i3i3-1-1-1-10-2−i3i3110000000000000
χ36222-122-1-1-1222-200-222−i3−i3i3i3-1-1-1-1-1-1-1-10-11−i3i322-2-21-2-200001111−i3−i3i3i3−i3−i3i3i300-1-111−i3i3−i3i300-2-2i3i3−i3−i3111102i3−i3-1-10000000000000
χ37222-122-1-1-1222-200-222i3i3−i3−i3-1-1-1-1-1-1-1-10-11i3−i322-2-21-2-200001111i3i3−i3−i3i3i3−i3−i300-1-111i3−i3i3−i30022i3i3−i3−i3-1-1-1-10-2i3−i3110000000000000
χ38222-122-1-1-1222-200-222i3i3−i3−i3-1-1-1-1-1-1-1-10-11i3−i322-2-21-2-200001111i3i3−i3−i3i3i3−i3−i300-1-111i3−i3i3−i300-2-2−i3−i3i3i3111102−i3i3-1-10000000000000
χ39222-122-1-1-122-2200-222−i3−i3i3i3-1-1-1-1-1-1-1-101-1i3−i3-2-2221-2-200001111−i3−i3i3i3−i3−i3i3i30011-1-1i3−i3i3−i32200-1-1-1-1−i3−i3i3i3-2011−i3i30000000000000
χ40222-122-1-1-122-2200-222−i3−i3i3i3-1-1-1-1-1-1-1-101-1i3−i3-2-2221-2-200001111−i3−i3i3i3−i3−i3i3i30011-1-1i3−i3i3−i3-2-2001111i3i3−i3−i320-1-1i3−i30000000000000
χ41222-122-1-1-122-2200-222i3i3−i3−i3-1-1-1-1-1-1-1-101-1−i3i3-2-2221-2-200001111i3i3−i3−i3i3i3−i3−i30011-1-1−i3i3−i3i32200-1-1-1-1i3i3−i3−i3-2011i3−i30000000000000
χ42222-122-1-1-122-2200-222i3i3−i3−i3-1-1-1-1-1-1-1-101-1−i3i3-2-2221-2-200001111i3i3−i3−i3i3i3−i3−i30011-1-1−i3i3−i3i3-2-2001111−i3−i3i3i320-1-1−i3i30000000000000
χ43222-122-1-1-122-2-222222-1-1-1-1-1-1-1-1-1-1-1-1-21111-2-2-2-2-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2111111110000−i3−i3i3i3−i3−i3i3i300i3−i3i3−i30000000000000
χ44222-122-1-1-122-2-222222-1-1-1-1-1-1-1-1-1-1-1-1-21111-2-2-2-2-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2111111110000i3i3−i3−i3i3i3−i3−i300−i3i3−i3i30000000000000
χ45222-122-1-1-122-2-2-2-22221111-1-1-1-1-1-1-1-1211-1-1-2-2-2-2-122-2-2-2-2-1-1-1-111111111221111-1-1-1-10000−i3−i3i3i3i3i3−i3−i300i3−i3−i3i30000000000000
χ46222-122-1-1-122-2-2-2-22221111-1-1-1-1-1-1-1-1211-1-1-2-2-2-2-122-2-2-2-2-1-1-1-111111111221111-1-1-1-10000i3i3−i3−i3−i3−i3i3i300−i3i3i3−i30000000000000
χ474444−1−5−1+5444−1−5−1+54-400-4−1−5−1+50000−1−5−1+5−1−5−1−5−1−5−1+5−1+5−1+504-400−1−5−1+51+51−5-41+51−500001+51+51−51−50000000000−1−5−1+51+51−500000000000000000000000000000000000
χ484444−1−5−1+5444−1−5−1+5-4400-4−1−5−1+50000−1−5−1+5−1−5−1−5−1−5−1+5−1+5−1+50-44001+51−5−1−5−1+5-41+51−500001+51+51−51−500000000001+51−5−1−5−1+500000000000000000000000000000000000
χ494444−1+5−1−5444−1+5−1−54-400-4−1+5−1−50000−1+5−1−5−1+5−1+5−1+5−1−5−1−5−1−504-400−1+5−1−51−51+5-41−51+500001−51−51+51+50000000000−1+5−1−51−51+500000000000000000000000000000000000
χ504444−1+5−1−5444−1+5−1−5-4400-4−1+5−1−50000−1+5−1−5−1+5−1+5−1+5−1−5−1−5−1−50-44001−51+5−1+5−1−5-41−51+500001−51−51+51+500000000001−51+5−1+5−1−500000000000000000000000000000000000
χ51444-2−1−5−1+5-2-2-2−1−5−1+544444−1−5−1+5-2-2-2-21+521−521+521+521+521−521−521−524-2-2-2-2−1−5−1+5−1−5−1+5-2−1−5−1+5−1−5−1−5−1+5−1+51+521+521−521−521+521+521+521+521−521−521−521−52−1−5−1+51+521−521+521−521+521+521−521−520000000000000000000000000000000
χ52444-2−1−5−1+5-2-2-2−1−5−1+544-4-44−1−5−1+522221+521−521+521+521+521−521−521−52-4-2-222−1−5−1+5−1−5−1+5-2−1−5−1+51+51+51−51−51+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+51−51+521−521+521−52−1−52−1−52−1+52−1+520000000000000000000000000000000
χ53444-2−1−5−1+5-2-2-2−1−5−1+54-400-4−1−5−1+5−2i3−2i32i32i31+521−521+521+521+521−521−521−520-22−2i32i3−1−5−1+51+51−521+51−50000−1−52−1−52−1+52−1+52ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58001+521−52−1−52−1+52ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ580000000000000000000000000000000
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χ928-80-4−2−25−2+254−4i34i32+252−25004-4000−2−2i32+2i3−2+2i32−2i31+51−5−1−52ζ14+2ζ26−2ζ34−2ζ46−2ζ14−2ζ26+2ζ34+2ζ46−1+52ζ2−2ζ22+2ζ38−2ζ58−2ζ2+2ζ22−2ζ38+2ζ58000000000000−1−51+5−1+51−50000−2ζ34−2ζ462ζ34+2ζ46−2ζ14−2ζ262ζ14+2ζ26−2ζ22−2ζ582ζ22+2ζ58−2ζ2−2ζ382ζ2+2ζ3800000000000000000000000000000000000000000
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χ978-80-4−2+25−2−254−4i34i32−252+2500-440002+2i3−2−2i32−2i3−2+2i31−51+5−1+52ζ2−2ζ22+2ζ38−2ζ58−2ζ2+2ζ22−2ζ38+2ζ58−1−52ζ14+2ζ26−2ζ34−2ζ46−2ζ14−2ζ26+2ζ34+2ζ460000000000001−5−1+51+5−1−500002ζ22+2ζ58−2ζ22−2ζ582ζ2+2ζ38−2ζ2−2ζ382ζ34+2ζ46−2ζ34−2ζ462ζ14+2ζ26−2ζ14−2ζ2600000000000000000000000000000000000000000
χ988-80-4−2+25−2−2544i3−4i32−252+25004-4000−2+2i32−2i3−2−2i32+2i31−51+5−1+5−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ58−1−5−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ46000000000000−1+51−5−1−51+50000−2ζ2−2ζ382ζ2+2ζ38−2ζ22−2ζ582ζ22+2ζ58−2ζ14−2ζ262ζ14+2ζ26−2ζ34−2ζ462ζ34+2ζ4600000000000000000000000000000000000000000
χ998-80-4−2+25−2−2544i3−4i32−252+2500-440002−2i3−2+2i32+2i3−2−2i31−51+5−1+5−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ58−1−5−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ460000000000001−5−1+51+5−1−500002ζ2+2ζ38−2ζ2−2ζ382ζ22+2ζ58−2ζ22−2ζ582ζ14+2ζ26−2ζ14−2ζ262ζ34+2ζ46−2ζ34−2ζ4600000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.