Finite Group Databasebeta

← Group #11756784

Character table — Group #11756784

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size112668888121212122241212161616162424242422412121616161624242424551030304040404060606060
order12424361212228851020102015306060101040405102010201530606010104040224246612122288
χ11111111111111111111111111111111111111111111111111111
χ2111111111-1-1-1-1111111111-1-1-1-1111111111-1-1-1-1111111111-1-1-1-1
χ311-1-1111-1-11-11-111-1-1111-1-11-11-111-1-1111-1-11-11-111-1-1111-1-11-11-1
χ411-1-1111-1-1-11-1111-1-1111-1-1-11-1111-1-1111-1-1-11-1111-1-1111-1-1-11-11
χ522222-1-1-1-1000022222-1-1-1-1000022222-1-1-1-1000022222-1-1-1-10000
χ622-2-22-1-111000022-2-22-1-111000022-2-22-1-111000022-2-22-1-1110000
χ7333-1-1000011-1-1333-1-1000011-1-1333-1-1000011-1-1333-1-1000011-1-1
χ8333-1-10000-1-111333-1-10000-1-111333-1-10000-1-111333-1-10000-1-111
χ933-31-100001-1-1133-31-100001-1-1133-31-100001-1-1133-31-100001-1-11
χ1033-31-10000-111-133-31-10000-111-133-31-10000-111-133-31-10000-111-1
χ114-40001-13−300004-40001-13−300004-40001-13−300004-40001-13−30000
χ124-40001-1−3300004-40001-1−3300004-40001-1−3300004-40001-1−330000
χ134-4000-220000004-4000-220000004-4000-220000004-4000-22000000
χ14111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ15111111111-1-1-1-1111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ1611-1-1111-1-11-11-111-1-1111-1-11-11-111-1-1111-1-11-11-1-1-111-1-1-111-11-11
χ1711-1-1111-1-1-11-1111-1-1111-1-1-11-1111-1-1111-1-1-11-11-1-111-1-1-1111-11-1
χ1822222-1-1-1-1000022222-1-1-1-1000022222-1-1-1-10000-2-2-2-2-211110000
χ1922-2-22-1-111000022-2-22-1-111000022-2-22-1-1110000-2-222-211-1-10000
χ20333-1-1000011-1-1333-1-1000011-1-1333-1-1000011-1-1-3-3-3110000-1-111
χ21333-1-10000-1-111333-1-10000-1-111333-1-10000-1-111-3-3-311000011-1-1
χ2233-31-100001-1-1133-31-100001-1-1133-31-100001-1-11-3-33-110000-111-1
χ2333-31-10000-111-133-31-10000-111-133-31-10000-111-1-3-33-1100001-1-11
χ244-40001-13−300004-40001-13−300004-40001-13−30000-44000-11−330000
χ254-40001-1−3300004-40001-1−3300004-40001-1−330000-44000-113−30000
χ264-4000-220000004-4000-220000004-4000-22000000-440002-2000000
χ272222222222222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−520000000000000
χ28222222222-2-2-2-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+520000000000000
χ2922-2-2222-2-22-22-2−1+52−1+521−521−52−1+52−1+52−1+521−521−52−1+521−52−1+521−52−1−52−1−521+521+52−1−52−1−52−1−521+521+52−1−521+52−1−521+520000000000000
χ3022-2-2222-2-2-22-22−1+52−1+521−521−52−1+52−1+52−1+521−521−521−52−1+521−52−1+52−1−52−1−521+521+52−1−52−1−52−1−521+521+521+52−1−521+52−1−520000000000000
χ3144444-2-2-2-20000−1+5−1+5−1+5−1+5−1+51−521−521−521−520000−1−5−1−5−1−5−1−5−1−51+521+521+521+5200000000000000000
χ3244-4-44-2-2220000−1+5−1+51−51−5−1+51−521−52−1+52−1+520000−1−5−1−51+51+5−1−51+521+52−1−52−1−5200000000000000000
χ33666-2-2000022-2-2−3+352−3+352−3+3521−521−520000−1+52−1+521−521−52−3−352−3−352−3−3521+521+520000−1−52−1−521+521+520000000000000
χ34666-2-20000-2-222−3+352−3+352−3+3521−521−5200001−521−52−1+52−1+52−3−352−3−352−3−3521+521+5200001+521+52−1−52−1−520000000000000
χ3566-62-200002-2-22−3+352−3+3523−352−1+521−520000−1+521−521−52−1+52−3−352−3−3523+352−1−521+520000−1−521+521+52−1−520000000000000
χ3666-62-20000-222-2−3+352−3+3523−352−1+521−5200001−52−1+52−1+521−52−3−352−3−3523+352−1−521+5200001+52−1−52−1−521+520000000000000
χ378-80002-223−230000−2+252−25000−1+521−52ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ470000−2−252+25000−1−521+52−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ5900000000000000000
χ388-80002-2−23230000−2+252−25000−1+521−52−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ470000−2−252+25000−1−521+52ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ5900000000000000000
χ398-8000-44000000−2+252−250001−5−1+5000000−2−252+250001+5−1−50000000000000000000
χ402222222222222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+520000000000000
χ41222222222-2-2-2-2−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−520000000000000
χ4222-2-2222-2-22-22-2−1−52−1−521+521+52−1−52−1−52−1−521+521+52−1−521+52−1−521+52−1+52−1+521−521−52−1+52−1+52−1+521−521−52−1+521−52−1+521−520000000000000
χ4322-2-2222-2-2-22-22−1−52−1−521+521+52−1−52−1−52−1−521+521+521+52−1−521+52−1−52−1+52−1+521−521−52−1+52−1+52−1+521−521−521−52−1+521−52−1+520000000000000
χ4444444-2-2-2-20000−1−5−1−5−1−5−1−5−1−51+521+521+521+520000−1+5−1+5−1+5−1+5−1+51−521−521−521−5200000000000000000
χ4544-4-44-2-2220000−1−5−1−51+51+5−1−51+521+52−1−52−1−520000−1+5−1+51−51−5−1+51−521−52−1+52−1+5200000000000000000
χ46666-2-2000022-2-2−3−352−3−352−3−3521+521+520000−1−52−1−521+521+52−3+352−3+352−3+3521−521−520000−1+52−1+521−521−520000000000000
χ47666-2-20000-2-222−3−352−3−352−3−3521+521+5200001+521+52−1−52−1−52−3+352−3+352−3+3521−521−5200001−521−52−1+52−1+520000000000000
χ4866-62-200002-2-22−3−352−3−3523+352−1−521+520000−1−521+521+52−1−52−3+352−3+3523−352−1+521−520000−1+521−521−52−1+520000000000000
χ4966-62-20000-222-2−3−352−3−3523+352−1−521+5200001+52−1−52−1−521+52−3+352−3+3523−352−1+521−5200001−52−1+52−1+521−520000000000000
χ508-80002-223−230000−2−252+25000−1−521+52−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ590000−2+252−25000−1+521−52ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ4700000000000000000
χ518-80002-2−23230000−2−252+25000−1−521+52ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ590000−2+252−25000−1+521−52−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ4700000000000000000
χ528-8000-44000000−2−252+250001+5−1−5000000−2+252−250001−5−1+50000000000000000000

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