Finite Group Databasebeta

← Group #91963

Character table — Group #91963

Order 480.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size1144446228888122288881255202020203011444462288881222888812552020202030
order1233664510151530302051015153030202266664226666410103030303020101030303030202266664
χ111111111111111111111111111111111111111111111111111111111
χ211−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321
χ311−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i321
χ42-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-1110
χ52-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i320
χ62-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i320
χ7330000-1330000-1330000-1330000-1330000-1330000-1330000-1330000-1
χ8111111111111111111111-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1
χ911−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-1
χ1011−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321−i32-111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321−i32-1
χ112-2-1-11102-2-1-11102-2-1-1110-2211-1-102-2-1-11102-2-1-11102-2-1-1110-2211-1-10
χ122-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i320-22−1+i32−1−i321−i321+i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i320-22−1+i32−1−i321−i321+i320
χ132-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i320-22−1−i32−1+i321+i321−i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i320-22−1−i32−1+i321+i321−i320
χ14330000-1330000-1330000-1-3-300001330000-1330000-1330000-1-3-300001
χ152222222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−5200000002222222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−520000000
χ1622−1+i3−1−i3−1+i3−1−i32−1+52−1+52ζ2+ζ8ζ7+ζ13ζ2+ζ8ζ7+ζ13−1+52−1−52−1−52ζ11+ζ14ζ+ζ4ζ11+ζ14ζ+ζ4−1−52000000022−1+i3−1−i3−1+i3−1−i32−1+52−1+52ζ2+ζ8ζ7+ζ13ζ2+ζ8ζ7+ζ13−1+52−1−52−1−52ζ11+ζ14ζ+ζ4ζ11+ζ14ζ+ζ4−1−520000000
χ1722−1−i3−1+i3−1−i3−1+i32−1+52−1+52ζ7+ζ13ζ2+ζ8ζ7+ζ13ζ2+ζ8−1+52−1−52−1−52ζ+ζ4ζ11+ζ14ζ+ζ4ζ11+ζ14−1−52000000022−1−i3−1+i3−1−i3−1+i32−1+52−1+52ζ7+ζ13ζ2+ζ8ζ7+ζ13ζ2+ζ8−1+52−1−52−1−52ζ+ζ4ζ11+ζ14ζ+ζ4ζ11+ζ14−1−520000000
χ184-4-2-2220−1+51−51−521−52−1+52−1+520−1−51+51+521+52−1−52−1−52000000004-4-2-2220−1+51−51−521−52−1+52−1+520−1−51+51+521+52−1−52−1−5200000000
χ194-41−i31+i3−1+i3−1−i30−1+51−5−ζ2−ζ8−ζ7−ζ13ζ2+ζ8ζ7+ζ130−1−51+5−ζ11−ζ14−ζ−ζ4ζ11+ζ14ζ+ζ4000000004-41−i31+i3−1+i3−1−i30−1+51−5−ζ2−ζ8−ζ7−ζ13ζ2+ζ8ζ7+ζ130−1−51+5−ζ11−ζ14−ζ−ζ4ζ11+ζ14ζ+ζ400000000
χ204-41+i31−i3−1−i3−1+i30−1+51−5−ζ7−ζ13−ζ2−ζ8ζ7+ζ13ζ2+ζ80−1−51+5−ζ−ζ4−ζ11−ζ14ζ+ζ4ζ11+ζ14000000004-41+i31−i3−1−i3−1+i30−1+51−5−ζ7−ζ13−ζ2−ζ8ζ7+ζ13ζ2+ζ80−1−51+5−ζ−ζ4−ζ11−ζ14ζ+ζ4ζ11+ζ1400000000
χ21660000-2−3+352−3+35200001−52−3−352−3−35200001+520000000660000-2−3+352−3+35200001−52−3−352−3−35200001+520000000
χ222222222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+5200000002222222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+520000000
χ2322−1+i3−1−i3−1+i3−1−i32−1−52−1−52ζ11+ζ14ζ+ζ4ζ11+ζ14ζ+ζ4−1−52−1+52−1+52ζ2+ζ8ζ7+ζ13ζ2+ζ8ζ7+ζ13−1+52000000022−1+i3−1−i3−1+i3−1−i32−1−52−1−52ζ11+ζ14ζ+ζ4ζ11+ζ14ζ+ζ4−1−52−1+52−1+52ζ2+ζ8ζ7+ζ13ζ2+ζ8ζ7+ζ13−1+520000000
χ2422−1−i3−1+i3−1−i3−1+i32−1−52−1−52ζ+ζ4ζ11+ζ14ζ+ζ4ζ11+ζ14−1−52−1+52−1+52ζ7+ζ13ζ2+ζ8ζ7+ζ13ζ2+ζ8−1+52000000022−1−i3−1+i3−1−i3−1+i32−1−52−1−52ζ+ζ4ζ11+ζ14ζ+ζ4ζ11+ζ14−1−52−1+52−1+52ζ7+ζ13ζ2+ζ8ζ7+ζ13ζ2+ζ8−1+520000000
χ254-4-2-2220−1−51+51+521+52−1−52−1−520−1+51−51−521−52−1+52−1+52000000004-4-2-2220−1−51+51+521+52−1−52−1−520−1+51−51−521−52−1+52−1+5200000000
χ264-41−i31+i3−1+i3−1−i30−1−51+5−ζ11−ζ14−ζ−ζ4ζ11+ζ14ζ+ζ40−1+51−5−ζ2−ζ8−ζ7−ζ13ζ2+ζ8ζ7+ζ13000000004-41−i31+i3−1+i3−1−i30−1−51+5−ζ11−ζ14−ζ−ζ4ζ11+ζ14ζ+ζ40−1+51−5−ζ2−ζ8−ζ7−ζ13ζ2+ζ8ζ7+ζ1300000000
χ274-41+i31−i3−1−i3−1+i30−1−51+5−ζ−ζ4−ζ11−ζ14ζ+ζ4ζ11+ζ140−1+51−5−ζ7−ζ13−ζ2−ζ8ζ7+ζ13ζ2+ζ8000000004-41+i31−i3−1−i3−1+i30−1−51+5−ζ−ζ4−ζ11−ζ14ζ+ζ4ζ11+ζ140−1+51−5−ζ7−ζ13−ζ2−ζ8ζ7+ζ13ζ2+ζ800000000
χ28660000-2−3−352−3−35200001+52−3+352−3+35200001−520000000660000-2−3−352−3−35200001+52−3+352−3+35200001−520000000
χ291111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3011−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1
χ3111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1
χ322-2-1-11102-2-1-11102-2-1-11102-2-1-1110-2211-1-10-2211-1-10-2211-1-10-2211-1-10
χ332-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i320-22−1+i32−1−i321−i321+i320-22−1+i32−1−i321−i321+i320-22−1+i32−1−i321−i321+i320-22−1+i32−1−i321−i321+i320
χ342-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i320-22−1−i32−1+i321+i321−i320-22−1−i32−1+i321+i321−i320-22−1−i32−1+i321+i321−i320-22−1−i32−1+i321+i321−i320
χ35330000-1330000-1330000-1330000-1-3-300001-3-300001-3-300001-3-300001
χ36111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ3711−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-111−1+i32−1−i32−1+i32−1−i321
χ3811−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-111−1−i32−1+i32−1−i32−1+i321
χ392-2-1-11102-2-1-11102-2-1-1110-2211-1-10-2211-1-10-2211-1-10-2211-1-102-2-1-1110
χ402-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i320-22−1+i32−1−i321−i321+i320-22−1+i32−1−i321−i321+i320-22−1+i32−1−i321−i321+i320-22−1+i32−1−i321−i321+i3202-21−i321+i32−1+i32−1−i320
χ412-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i320-22−1−i32−1+i321+i321−i320-22−1−i32−1+i321+i321−i320-22−1−i32−1+i321+i321−i320-22−1−i32−1+i321+i321−i3202-21+i321−i32−1−i32−1+i320
χ42330000-1330000-1330000-1-3-300001-3-300001-3-300001-3-300001330000-1
χ432222222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−520000000-2-2-2-2-2-2-21−521−521−521−521−521−521−521+521+521+521+521+521+521+520000000
χ4422−1+i3−1−i3−1+i3−1−i32−1+52−1+52ζ2+ζ8ζ7+ζ13ζ2+ζ8ζ7+ζ13−1+52−1−52−1−52ζ11+ζ14ζ+ζ4ζ11+ζ14ζ+ζ4−1−520000000-2-21−i31+i31−i31+i3-21−521−52−ζ2−ζ8−ζ7−ζ13−ζ2−ζ8−ζ7−ζ131−521+521+52−ζ11−ζ14−ζ−ζ4−ζ11−ζ14−ζ−ζ41+520000000
χ4522−1−i3−1+i3−1−i3−1+i32−1+52−1+52ζ7+ζ13ζ2+ζ8ζ7+ζ13ζ2+ζ8−1+52−1−52−1−52ζ+ζ4ζ11+ζ14ζ+ζ4ζ11+ζ14−1−520000000-2-21+i31−i31+i31−i3-21−521−52−ζ7−ζ13−ζ2−ζ8−ζ7−ζ13−ζ2−ζ81−521+521+52−ζ−ζ4−ζ11−ζ14−ζ−ζ4−ζ11−ζ141+520000000
χ464-4-2-2220−1+51−51−521−52−1+52−1+520−1−51+51+521+52−1−52−1−5200000000-4422-2-201−5−1+5−1+52−1+521−521−5201+5−1−5−1−52−1−521+521+5200000000
χ474-41−i31+i3−1+i3−1−i30−1+51−5−ζ2−ζ8−ζ7−ζ13ζ2+ζ8ζ7+ζ130−1−51+5−ζ11−ζ14−ζ−ζ4ζ11+ζ14ζ+ζ400000000-44−1+i3−1−i31−i31+i301−5−1+5ζ2+ζ8ζ7+ζ13−ζ2−ζ8−ζ7−ζ1301+5−1−5ζ11+ζ14ζ+ζ4−ζ11−ζ14−ζ−ζ400000000
χ484-41+i31−i3−1−i3−1+i30−1+51−5−ζ7−ζ13−ζ2−ζ8ζ7+ζ13ζ2+ζ80−1−51+5−ζ−ζ4−ζ11−ζ14ζ+ζ4ζ11+ζ1400000000-44−1−i3−1+i31+i31−i301−5−1+5ζ7+ζ13ζ2+ζ8−ζ7−ζ13−ζ2−ζ801+5−1−5ζ+ζ4ζ11+ζ14−ζ−ζ4−ζ11−ζ1400000000
χ49660000-2−3+352−3+35200001−52−3−352−3−35200001+520000000-6-6000023−3523−3520000−1+523+3523+3520000−1−520000000
χ502222222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+520000000-2-2-2-2-2-2-21+521+521+521+521+521+521+521−521−521−521−521−521−521−520000000
χ5122−1+i3−1−i3−1+i3−1−i32−1−52−1−52ζ11+ζ14ζ+ζ4ζ11+ζ14ζ+ζ4−1−52−1+52−1+52ζ2+ζ8ζ7+ζ13ζ2+ζ8ζ7+ζ13−1+520000000-2-21−i31+i31−i31+i3-21+521+52−ζ11−ζ14−ζ−ζ4−ζ11−ζ14−ζ−ζ41+521−521−52−ζ2−ζ8−ζ7−ζ13−ζ2−ζ8−ζ7−ζ131−520000000
χ5222−1−i3−1+i3−1−i3−1+i32−1−52−1−52ζ+ζ4ζ11+ζ14ζ+ζ4ζ11+ζ14−1−52−1+52−1+52ζ7+ζ13ζ2+ζ8ζ7+ζ13ζ2+ζ8−1+520000000-2-21+i31−i31+i31−i3-21+521+52−ζ−ζ4−ζ11−ζ14−ζ−ζ4−ζ11−ζ141+521−521−52−ζ7−ζ13−ζ2−ζ8−ζ7−ζ13−ζ2−ζ81−520000000
χ534-4-2-2220−1−51+51+521+52−1−52−1−520−1+51−51−521−52−1+52−1+5200000000-4422-2-201+5−1−5−1−52−1−521+521+5201−5−1+5−1+52−1+521−521−5200000000
χ544-41−i31+i3−1+i3−1−i30−1−51+5−ζ11−ζ14−ζ−ζ4ζ11+ζ14ζ+ζ40−1+51−5−ζ2−ζ8−ζ7−ζ13ζ2+ζ8ζ7+ζ1300000000-44−1+i3−1−i31−i31+i301+5−1−5ζ11+ζ14ζ+ζ4−ζ11−ζ14−ζ−ζ401−5−1+5ζ2+ζ8ζ7+ζ13−ζ2−ζ8−ζ7−ζ1300000000
χ554-41+i31−i3−1−i3−1+i30−1−51+5−ζ−ζ4−ζ11−ζ14ζ+ζ4ζ11+ζ140−1+51−5−ζ7−ζ13−ζ2−ζ8ζ7+ζ13ζ2+ζ800000000-44−1−i3−1+i31+i31−i301+5−1−5ζ+ζ4ζ11+ζ14−ζ−ζ4−ζ11−ζ1401−5−1+5ζ7+ζ13ζ2+ζ8−ζ7−ζ13−ζ2−ζ800000000
χ56660000-2−3−352−3−35200001+52−3+352−3+35200001−520000000-6-6000023+3523+3520000−1−523−3523−3520000−1+520000000

Here ζ is a primitive root of unity of order 15 (ζ15 = 1); i = ζ3.