Finite Group Databasebeta

← Group #14279427

Character table — Group #14279427

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11222222222444444444444488888888888888888888888888816161616161616161616161640404040404048484848484848484848808080240240
order122355666101041010121215153030303030302441212202020202020202020206060606060606060606060606101012303030306060606088242424248840404040404040404121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1
χ3111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ5111111111111111111111111-11-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111i−iiiii−i−i−i−i-1-1-1i−i
χ6111111111111111111111111-11-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111−ii−i−i−i−iiiii-1-1-1−ii
χ7111111111111111111111111-11-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−iiiii−i−i−i−i111−ii
χ8111111111111111111111111-11-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−i−i−i−iiiii111i−i
χ92222222222222222222222222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222-22222-2-2-2-2000000000000000000000
χ10222222222222222222222222-2-22-2-222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-22-2-2-2-22222000000000000000000000
χ112222−1−52−1+52222−1−52−1+522−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222−1−52−1+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+522−1−52−1+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000
χ122222−1−52−1+52222−1−52−1+522−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222−1−52−1+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+522−1−52−1+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000-2-21+521+521−521−521+521+521−521−5200000
χ132222−1−52−1+52222−1−52−1+522−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-2-2-2−1−52−1+521+521+521−521−521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+522−1−52−1+52-2−1−52−1−52−1+52−1+521+521+521−521−5200000000−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−ζ4700000
χ142222−1−52−1+52222−1−52−1+522−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-2-2-2−1−52−1+521+521+521−521−521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+522−1−52−1+52-2−1−52−1−52−1+52−1+521+521+521−521−5200000000ζ11−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+ζ4700000
χ152222−1−52−1+52222−1−52−1+522−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-22-222−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52-21+521−52-21+521+521−521−521+521+521−521−520000002i−2i−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ4700000
χ162222−1−52−1+52222−1−52−1+522−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-22-222−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52-21+521−52-21+521+521−521−521+521+521−521−52000000−2i2iζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ4700000
χ172222−1−52−1+52222−1−52−1+522−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-22-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52-21+521−5221+521+521−521−52−1−52−1−52−1+52−1+5200000000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ5800000
χ182222−1−52−1+52222−1−52−1+522−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-22-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52-21+521−5221+521+521−521−52−1−52−1−52−1+52−1+5200000000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ5800000
χ192222−1+52−1−52222−1+52−1−522−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222−1+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+52−1−52−1−522−1+52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000
χ202222−1+52−1−52222−1+52−1−522−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222−1+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+52−1−52−1−522−1+52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000-2-21−521−521+521+521−521−521+521+5200000
χ212222−1+52−1−52222−1+52−1−522−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-2-2-2−1+52−1−521−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−522−1+52−1−52-2−1+52−1+52−1−52−1−521−521−521+521+5200000000ζ7−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+ζ5900000
χ222222−1+52−1−52222−1+52−1−522−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-2-2-2−1+52−1−521−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−522−1+52−1−52-2−1+52−1+52−1−52−1−521−521−521+521+5200000000−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−ζ5900000
χ232222−1+52−1−52222−1+52−1−522−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-22-222−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52-21−521+52-21−521−521+521+521−521−521+521+520000002i−2i−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ5900000
χ242222−1+52−1−52222−1+52−1−522−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-22-222−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52-21−521+52-21−521−521+521+521−521−521+521+52000000−2i2iζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ5900000
χ252222−1+52−1−52222−1+52−1−522−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22-2-2−1+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+52−1−52−1−52-21−521+5221−521−521+521+52−1+52−1+52−1−52−1−5200000000ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ4600000
χ262222−1+52−1−52222−1+52−1−522−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22-2-2−1+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+52−1−52−1−52-21−521+5221−521−521+521+52−1+52−1+52−1−52−1−5200000000−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ4600000
χ27222-122-1-1-122222-1-1-1-1-1-1-1-1-1-1222-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-122-1-1-1-100000000002-1-100
χ28222-122-1-1-122222-1-1-1-1-1-1-1-1-1-1222-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-2-211110000000000-21100
χ29222-122-1-1-122222-1-1-1-1-1-1-1-1-1-12-2-21122-2-2-2-2-2-2-2-211111111-1-1-1-1-1221-1-1-1-1111100−i3−i3i3i300000000000−i3i300
χ30222-122-1-1-122222-1-1-1-1-1-1-1-1-1-12-2-21122-2-2-2-2-2-2-2-211111111-1-1-1-1-1221-1-1-1-1111100i3i3−i3−i300000000000i3−i300
χ31222-122-1-1-122222-1-1-1-1-1-1-1-1-1-1-22-2-1-1222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11-2-211111111122-1-1-1-10000000000-21100
χ32222-122-1-1-122222-1-1-1-1-1-1-1-1-1-1-22-2-1-1222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11-2-2111111111-2-2111100000000002-1-100
χ33222-122-1-1-122222-1-1-1-1-1-1-1-1-1-1-2-221122-2-2-2-2222211111111-1-1-1-11-2-2-11111-1-1-1-100−i3−i3i3i300000000000i3−i300
χ34222-122-1-1-122222-1-1-1-1-1-1-1-1-1-1-2-221122-2-2-2-2222211111111-1-1-1-11-2-2-11111-1-1-1-100i3i3−i3−i300000000000−i3i300
χ3544444444444-444-4-44444444400000-4-40000000000000000-4-4-4-4000000000000000000000000000000000
χ364444−1−5−1+5444−1−5−1+5-4−1−5−1+5-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5000001+51−50000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ58000000001+51+51−51−500000000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ58000000000000000000000
χ374444−1−5−1+5444−1−5−1+5-4−1−5−1+5-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5000001+51−500002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58000000001+51+51−51−5000000002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58000000000000000000000
χ384444−1+5−1−5444−1+5−1−5-4−1+5−1−5-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5000001−51+500002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46000000001−51−51+51+5000000002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46000000000000000000000
χ394444−1+5−1−5444−1+5−1−5-4−1+5−1−5-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5000001−51+50000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46000000001−51−51+51+500000000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46000000000000000000000
χ40444-244-2-2-244-44422-2-2-2-2-2-2-2-2000−2i32i3-4-400000000−2i3−2i32i32i3−2i3−2i32i32i32222000000000000000000000000000000000
χ41444-244-2-2-244-44422-2-2-2-2-2-2-2-20002i3−2i3-4-4000000002i32i3−2i3−2i32i32i3−2i3−2i32222000000000000000000000000000000000
χ42444-2−1−5−1+5-2-2-2−1−5−1+54−1−5−1+5-2-21+521−521+521+521−521−521+521−52444-2-2−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+51+521+521+521+521−521−521−521−521+521+521−521−52-2−1−5−1+5-21+521+521−521−521+521+521−521−52000000000000000000000
χ43444-2−1−5−1+5-2-2-2−1−5−1+54−1−5−1+5-2-21+521−521+521+521−521−521+521−524-4-422−1−5−1+51+51+51−51−51+51+51−51−5−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−52-2−1−5−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000000
χ44444-2−1−5−1+5-2-2-2−1−5−1+54−1−5−1+5-2-21+521−521+521+521−521−521+521−52-44-4-2-2−1−5−1+5−1−5−1−5−1+5−1+51+51+51−51−51+521+521+521+521−521−521−521−521+521+521−521−5221+51−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000000
χ45444-2−1−5−1+5-2-2-2−1−5−1+54−1−5−1+5-2-21+521−521+521+521−521−521+521−52-4-4422−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+5−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−5221+51−5-2−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.