Finite Group Databasebeta

← Group #92035

Character table — Group #92035

Order 480.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57
size1122222222244444444444446666666688888810101010101012121212121220202030303030
order123444556101012121215152020202020203030222420202020606060606060222412121010101010106662224
χ1111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-11-1-11
χ61111-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11-111-1
χ71111-1-1111111-1-11111-1-1-1-111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1
χ81111-1-1111111-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11
χ9111-11-111111-11-111-1-111-1-1111-11-1-1-1-1-1-1-111-1-11-11-1-1-111-1-1111-11-11-11
χ10111-11-111111-11-111-1-111-1-1111-11-1-1-1-1-1-1-111-1-1-11-111111-1-111-11-11-11-1
χ11111-11-111111-11-111-1-111-1-111-11-111111-1-111-1-11-11-1-1-1-1-111-1-11-111-11-1
χ12111-11-111111-11-111-1-111-1-111-11-111111-1-111-1-1-11-1111-1-111-1-1-11-1-11-11
χ13111-1-1111111-1-1111-1-1-1-111111-1-111111-1-1-1-1111-1-111111-1-1-1-11-1-1-1-111
χ14111-1-1111111-1-1111-1-1-1-111111-1-111111-1-1-1-111-111-1-1-111-1-1-1-1-11111-1-1
χ15111-1-1111111-1-1111-1-1-1-11111-111-1-1-1-1-1-1-1-1-1111-1-1111-1-111111-1-111-1-1
χ16111-1-1111111-1-1111-1-1-1-11111-111-1-1-1-1-1-1-1-1-111-111-1-1-1-1-11111-111-1-111
χ17222222−1−52−1+522−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000−1−52−1+52−1−52−1+52−1−52−1+520000000
χ18222222−1−52−1+522−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-21+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+520000001+521−521+521−521+521−520000000
χ19222222−1+52−1−522−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000−1+52−1−52−1+52−1−52−1+52−1−520000000
χ20222222−1+52−1−522−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-21−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−520000001−521+521−521+521−521+520000000
χ212222-2-2−1−52−1+522−1−52−1+522-2-2−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+5222-2-21+521+521−521−52−1−52−1+521+521−521+521−52000000−1−52−1+52−1−52−1+521+521−520000000
χ222222-2-2−1−52−1+522−1−52−1+522-2-2−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52-2-222−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521−520000001+521−521+521−52−1−52−1+520000000
χ232222-2-2−1+52−1−522−1+52−1−522-2-2−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−5222-2-21−521−521+521+52−1+52−1−521−521+521−521+52000000−1+52−1−52−1+52−1−521−521+520000000
χ242222-2-2−1+52−1−522−1+52−1−522-2-2−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52-2-222−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521+520000001−521+521−521+52−1+52−1−520000000
χ25222-22-2−1−52−1+522−1−52−1+52-22-2−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+522-22-21+521+521−521−521+521−52−1−52−1+521+521−52000000−1−52−1+521+521−52−1−52−1+520000000
χ26222-22-2−1−52−1+522−1−52−1+52-22-2−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+52-22-22−1−52−1−52−1+52−1+521+521−52−1−52−1+521+521−520000001+521−52−1−52−1+521+521−520000000
χ27222-22-2−1+52−1−522−1+52−1−52-22-2−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−522-22-21−521−521+521+521−521+52−1+52−1−521−521+52000000−1+52−1−521−521+52−1+52−1−520000000
χ28222-22-2−1+52−1−522−1+52−1−52-22-2−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−52-22-22−1+52−1+52−1−52−1−521−521+52−1+52−1−521−521+520000001−521+52−1+52−1−521−521+520000000
χ29222-2-22−1−52−1+522−1−52−1+52-2-22−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+522-2-22−1−52−1−52−1+52−1+521+521−521+521−52−1−52−1+52000000−1−52−1+521+521−521+521−520000000
χ30222-2-22−1−52−1+522−1−52−1+52-2-22−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+52-222-21+521+521−521−521+521−521+521−52−1−52−1+520000001+521−52−1−52−1+52−1−52−1+520000000
χ31222-2-22−1+52−1−522−1+52−1−52-2-22−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−522-2-22−1+52−1+52−1−52−1−521−521+521−521+52−1+52−1−52000000−1+52−1−521−521+521−521+520000000
χ32222-2-22−1+52−1−522−1+52−1−52-2-22−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−52-222-21−521−521+521+521−521+521−521+52−1+52−1−520000001−521+52−1+52−1−52−1+52−1−520000000
χ3322-122222-122-1-1-1-1-1222222-1-100000000-1-1-1-1-1-12222-1-1000000-1-1-10000
χ3422-122222-122-1-1-1-1-1222222-1-100000000-1-1-1-1-1-1-2-2-2-2110000001110000
χ3522-12-2-222-122-111-1-122-2-2-2-2-1-100000000-1-1111122-2-211000000-1-110000
χ3622-12-2-222-122-111-1-122-2-2-2-2-1-100000000-1-11111-2-222-1-100000011-10000
χ3722-1-22-222-1221-11-1-1-2-222-2-2-1-10000000011-1-1112-22-211000000-11-10000
χ3822-1-22-222-1221-11-1-1-2-222-2-2-1-10000000011-1-111-22-22-1-10000001-110000
χ3922-1-2-2222-12211-1-1-1-2-2-2-222-1-1000000001111-1-12-2-22-1-1000000-1110000
χ4022-1-2-2222-12211-1-1-1-2-2-2-222-1-1000000001111-1-1-222-2110000001-1-10000
χ4144-2444−1−5−1+5-2−1−5−1+5-2-2-21+521−52−1−5−1+5−1−5−1+5−1−5−1+51+521−52000000001+521−521+521−521+521−520000000000000000000
χ4244-2444−1+5−1−5-2−1+5−1−5-2-2-21−521+52−1+5−1−5−1+5−1−5−1+5−1−51−521+52000000001−521+521−521+521−521+520000000000000000000
χ4344-24-4-4−1−5−1+5-2−1−5−1+5-2221+521−52−1−5−1+51+51−51+51−51+521−52000000001+521−52−1−52−1+52−1−52−1+520000000000000000000
χ4444-24-4-4−1+5−1−5-2−1+5−1−5-2221−521+52−1+5−1−51−51+51−51+51−521+52000000001−521+52−1+52−1−52−1+52−1−520000000000000000000
χ4544-2-44-4−1−5−1+5-2−1−5−1+52-221+521−521+51−5−1−5−1+51+51−51+521−5200000000−1−52−1+521+521−52−1−52−1+520000000000000000000
χ4644-2-44-4−1+5−1−5-2−1+5−1−52-221−521+521−51+5−1+5−1−51−51+51−521+5200000000−1+52−1−521−521+52−1+52−1−520000000000000000000
χ4744-2-4-44−1−5−1+5-2−1−5−1+522-21+521−521+51−51+51−5−1−5−1+51+521−5200000000−1−52−1+52−1−52−1+521+521−520000000000000000000
χ4844-2-4-44−1+5−1−5-2−1+5−1−522-21−521+521−51+51−51+5−1+5−1−51−521+5200000000−1+52−1−52−1+52−1−521−521+520000000000000000000
χ494-4400044-4-4-400044000000-4-4000000000000000000000000000000000
χ504-44000−1−5−1+5-41+51−5000−1−5−1+50000001+51−50000−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ470000000000000000000000000
χ514-44000−1−5−1+5-41+51−5000−1−5−1+50000001+51−500002ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ470000000000000000000000000
χ524-44000−1+5−1−5-41−51+5000−1+5−1−50000001−51+500002ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ590000000000000000000000000
χ534-44000−1+5−1−5-41−51+5000−1+5−1−50000001−51+50000−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ590000000000000000000000000
χ544-4-2000442-4-4000-2-20000002200000000000000000023−230000000000000
χ554-4-2000442-4-4000-2-200000022000000000000000000−23230000000000000
χ568-8-4000−2−25−2+2542+252−250001+51−5000000−1−5−1+5000000000000000000000000000000000
χ578-8-4000−2+25−2−2542−252+250001−51+5000000−1+5−1−5000000000000000000000000000000000

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