Finite Group Databasebeta

← Group #72230950

Character table — Group #72230950

Order 2400.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size112444488888888881010101025252525252540404040505050505050501124444888888888810101010252525252525404040405050505050505011244448888888888101010102525252525254040404050505050505050
order12455101055101020202020202022222244441010101044444443612151530301515303060606060606066666612121212303030301212121212121236121515303015153030606060606060666666121212123030303012121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-111111-1-1-1-1-1-111111111111111111111111-1-1-1-111111-1-1-1-1-1-111111111111111111111111-1-1-1-111111-1-1-1-1-1-1
χ31111111111111111111-1-1-1-1ii−i−i11-1-1-1i−iii−i−i1111111111111111111-1-1-1-1ii−i−i11-1-1-1i−iii−i−i1111111111111111111-1-1-1-1ii−i−i11-1-1-1i−iii−i−i
χ41111111111111111111-1-1-1-1−i−iii11-1-1-1−ii−i−iii1111111111111111111-1-1-1-1−i−iii11-1-1-1−ii−i−iii1111111111111111111-1-1-1-1−i−iii11-1-1-1−ii−i−iii
χ511111111111111111-1-111-1-1ii−i−i-1-111-1i−i−i−iii11111111111111111-1-111-1-1ii−i−i-1-111-1i−i−i−iii11111111111111111-1-111-1-1ii−i−i-1-111-1i−i−i−iii
χ611111111111111111-1-111-1-1−i−iii-1-111-1−iiii−i−i11111111111111111-1-111-1-1−i−iii-1-111-1−iiii−i−i11111111111111111-1-111-1-1−i−iii-1-111-1−iiii−i−i
χ711111111111111111-1-1-1-1111111-1-1-1-1111-1-1-1-111111111111111111-1-1-1-1111111-1-1-1-1111-1-1-1-111111111111111111-1-1-1-1111111-1-1-1-1111-1-1-1-1
χ811111111111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-1111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-1111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-11111
χ911-111111111-1-1-1-1-1-11-11-11111111-11-1-1-1-11-11-111-111111111-1-1-1-1-1-11-11-11111111-11-1-1-1-11-11-111-111111111-1-1-1-1-1-11-11-11111111-11-1-1-1-11-11-1
χ1011-111111111-1-1-1-1-1-11-11-111-1-1-1-11-11-1-111-11-1111-111111111-1-1-1-1-1-11-11-111-1-1-1-11-11-1-111-11-1111-111111111-1-1-1-1-1-11-11-111-1-1-1-11-11-1-111-11-11
χ1111-111111111-1-1-1-1-1-11-1-11-1-1ii−i−i1-1-111−iii−i−ii11-111111111-1-1-1-1-1-11-1-11-1-1ii−i−i1-1-111−iii−i−ii11-111111111-1-1-1-1-1-11-1-11-1-1ii−i−i1-1-111−iii−i−ii
χ1211-111111111-1-1-1-1-1-11-1-11-1-1−i−iii1-1-111i−i−iii−i11-111111111-1-1-1-1-1-11-1-11-1-1−i−iii1-1-111i−i−iii−i11-111111111-1-1-1-1-1-11-1-11-1-1−i−iii1-1-111i−i−iii−i
χ1311-111111111-1-1-1-1-1-1-111-1-1-1ii−i−i-111-11−ii−iii−i11-111111111-1-1-1-1-1-1-111-1-1-1ii−i−i-111-11−ii−iii−i11-111111111-1-1-1-1-1-1-111-1-1-1ii−i−i-111-11−ii−iii−i
χ1411-111111111-1-1-1-1-1-1-111-1-1-1−i−iii-111-11i−ii−i−ii11-111111111-1-1-1-1-1-1-111-1-1-1−i−iii-111-11i−ii−i−ii11-111111111-1-1-1-1-1-1-111-1-1-1−i−iii-111-11i−ii−i−ii
χ1511-111111111-1-1-1-1-1-1-11-11111111-11-11-1-1-1-11-1111-111111111-1-1-1-1-1-1-11-11111111-11-11-1-1-1-11-1111-111111111-1-1-1-1-1-1-11-11111111-11-11-1-1-1-11-11
χ1611-111111111-1-1-1-1-1-1-11-1111-1-1-1-1-11-11-1111-11-111-111111111-1-1-1-1-1-1-11-1111-1-1-1-1-11-11-1111-11-111-111111111-1-1-1-1-1-1-11-1111-1-1-1-1-11-11-1111-11-1
χ172-2022-2-222-2-200000000002-22i−2i2i−2i000000000002-2022-2-222-2-200000000002-22i−2i2i−2i000000000002-2022-2-222-2-200000000002-22i−2i2i−2i00000000000
χ182-2022-2-222-2-200000000002-2−2i2i−2i2i000000000002-2022-2-222-2-200000000002-2−2i2i−2i2i000000000002-2022-2-222-2-200000000002-2−2i2i−2i2i00000000000
χ192-2022-2-222-2-20000000000-222-2-22000000000002-2022-2-222-2-20000000000-222-2-22000000000002-2022-2-222-2-20000000000-222-2-2200000000000
χ202-2022-2-222-2-20000000000-22-222-2000000000002-2022-2-222-2-20000000000-22-222-2000000000002-2022-2-222-2-20000000000-22-222-200000000000
χ214444-14-1-1-1-1-14-1-1-1-1-1004400000000-1-100000004444-14-1-1-1-1-14-1-1-1-1-1004400000000-1-100000004444-14-1-1-1-1-14-1-1-1-1-1004400000000-1-10000000
χ224444-14-1-1-1-1-14-1-1-1-1-100-4-4000000001100000004444-14-1-1-1-1-14-1-1-1-1-100-4-4000000001100000004444-14-1-1-1-1-14-1-1-1-1-100-4-400000000110000000
χ23444-14-14-1-1-1-1-14-1-1-1-14400000000-1-1000000000444-14-14-1-1-1-1-14-1-1-1-14400000000-1-1000000000444-14-14-1-1-1-1-14-1-1-1-14400000000-1-1000000000
χ24444-14-14-1-1-1-1-14-1-1-1-1-4-40000000011000000000444-14-14-1-1-1-1-14-1-1-1-1-4-40000000011000000000444-14-14-1-1-1-1-14-1-1-1-1-4-40000000011000000000
χ2544-44-14-1-1-1-1-1-411111004-400000000-11000000044-44-14-1-1-1-1-1-411111004-400000000-11000000044-44-14-1-1-1-1-1-411111004-400000000-110000000
χ2644-44-14-1-1-1-1-1-41111100-44000000001-1000000044-44-14-1-1-1-1-1-41111100-44000000001-1000000044-44-14-1-1-1-1-1-41111100-44000000001-10000000
χ2744-4-14-14-1-1-1-11-411114-400000000-1100000000044-4-14-14-1-1-1-11-411114-400000000-1100000000044-4-14-14-1-1-1-11-411114-400000000-11000000000
χ2844-4-14-14-1-1-1-11-41111-44000000001-100000000044-4-14-14-1-1-1-11-41111-44000000001-100000000044-4-14-14-1-1-1-11-41111-44000000001-1000000000
χ29888-2-2-2-23-23-2-2-233-2-2000000000000000000000888-2-2-2-23-23-2-2-233-2-2000000000000000000000888-2-2-2-23-23-2-2-233-2-2000000000000000000000
χ30888-2-2-2-2-23-23-2-2-2-233000000000000000000000888-2-2-2-2-23-23-2-2-2-233000000000000000000000888-2-2-2-2-23-23-2-2-2-233000000000000000000000
χ3188-8-2-2-2-23-23-222-3-32200000000000000000000088-8-2-2-2-23-23-222-3-32200000000000000000000088-8-2-2-2-23-23-222-3-322000000000000000000000
χ3288-8-2-2-2-2-23-232222-3-300000000000000000000088-8-2-2-2-2-23-232222-3-300000000000000000000088-8-2-2-2-2-23-232222-3-3000000000000000000000
χ338-808-2-82-2-2220000000000000000000000000008-808-2-82-2-2220000000000000000000000000008-808-2-82-2-222000000000000000000000000000
χ348-80-282-8-2-2220000000000000000000000000008-80-282-8-2-2220000000000000000000000000008-80-282-8-2-222000000000000000000000000000
χ358-80-2-2223-2-3200i5−i52i5−2i50000000000000000000008-80-2-2223-2-3200i5−i52i5−2i50000000000000000000008-80-2-2223-2-3200i5−i52i5−2i5000000000000000000000
χ368-80-2-2223-2-3200−i5i5−2i52i50000000000000000000008-80-2-2223-2-3200−i5i5−2i52i50000000000000000000008-80-2-2223-2-3200−i5i5−2i52i5000000000000000000000
χ378-80-2-222-232-3002i5−2i5−i5i50000000000000000000008-80-2-222-232-3002i5−2i5−i5i50000000000000000000008-80-2-222-232-3002i5−2i5−i5i5000000000000000000000
χ388-80-2-222-232-300−2i52i5i5−i50000000000000000000008-80-2-222-232-300−2i52i5i5−i50000000000000000000008-80-2-222-232-300−2i52i5i5−i5000000000000000000000
χ3911111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ4011111111111111111111111-1-1-1-111111-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32
χ411111111111111111111-1-1-1-1ii−i−i11-1-1-1i−iii−i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−1+i32−1+i321−i321−i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−1−i32−1−i321+i321+i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43
χ421111111111111111111-1-1-1-1−i−iii11-1-1-1−ii−i−iii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59−1+i32−1+i321−i321−i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43−1−i32−1−i321+i321+i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43
χ4311111111111111111-1-111-1-1ii−i−i-1-111-1i−i−i−iii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ591−i321−i32−1+i32−1+i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ431+i321+i32−1−i32−1−i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43
χ4411111111111111111-1-111-1-1−i−iii-1-111-1−iiii−i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ591−i321−i32−1+i32−1+i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ431+i321+i32−1−i32−1−i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43
χ4511111111111111111-1-1-1-1111111-1-1-1-1111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ4611111111111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-11111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ4711-111111111-1-1-1-1-1-11-11-11111111-11-1-1-1-11-11-1−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32
χ4811-111111111-1-1-1-1-1-11-11-111-1-1-1-11-11-1-111-11-11−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32
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χ984444-14-1-1-1-1-14-1-1-1-1-100-4-400000000110000000−2−2i3−2−2i3−2−2i3−2−2i31+i32−2−2i31+i321+i321+i321+i321+i32−2−2i31+i321+i321+i321+i321+i32002+2i32+2i300000000−1−i32−1−i320000000−2+2i3−2+2i3−2+2i3−2+2i31−i32−2+2i31−i321−i321−i321−i321−i32−2+2i31−i321−i321−i321−i321−i32002−2i32−2i300000000−1+i32−1+i320000000
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χ100444-14-14-1-1-1-1-14-1-1-1-1-4-40000000011000000000−2−2i3−2−2i3−2−2i31+i32−2−2i31+i32−2−2i31+i321+i321+i321+i321+i32−2−2i31+i321+i321+i321+i322+2i32+2i300000000−1−i32−1−i32000000000−2+2i3−2+2i3−2+2i31−i32−2+2i31−i32−2+2i31−i321−i321−i321−i321−i32−2+2i31−i321−i321−i321−i322−2i32−2i300000000−1+i32−1+i32000000000
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χ10244-44-14-1-1-1-1-1-41111100-44000000001-10000000−2−2i3−2−2i32+2i3−2−2i31+i32−2−2i31+i321+i321+i321+i321+i322+2i3−1−i32−1−i32−1−i32−1−i32−1−i32002+2i3−2−2i300000000−1−i321+i320000000−2+2i3−2+2i32−2i3−2+2i31−i32−2+2i31−i321−i321−i321−i321−i322−2i3−1+i32−1+i32−1+i32−1+i32−1+i32002−2i3−2+2i300000000−1+i321−i320000000
χ10344-4-14-14-1-1-1-11-411114-400000000-11000000000−2−2i3−2−2i32+2i31+i32−2−2i31+i32−2−2i31+i321+i321+i321+i32−1−i322+2i3−1−i32−1−i32−1−i32−1−i32−2−2i32+2i3000000001+i32−1−i32000000000−2+2i3−2+2i32−2i31−i32−2+2i31−i32−2+2i31−i321−i321−i321−i32−1+i322−2i3−1+i32−1+i32−1+i32−1+i32−2+2i32−2i3000000001−i32−1+i32000000000
χ10444-4-14-14-1-1-1-11-41111-44000000001-1000000000−2−2i3−2−2i32+2i31+i32−2−2i31+i32−2−2i31+i321+i321+i321+i32−1−i322+2i3−1−i32−1−i32−1−i32−1−i322+2i3−2−2i300000000−1−i321+i32000000000−2+2i3−2+2i32−2i31−i32−2+2i31−i32−2+2i31−i321−i321−i321−i32−1+i322−2i3−1+i32−1+i32−1+i32−1+i322−2i3−2+2i300000000−1+i321−i32000000000
χ105888-2-2-2-23-23-2-2-233-2-2000000000000000000000−4−4i3−4−4i3−4−4i31+i31+i31+i31+i3−3−3i321+i3−3−3i321+i31+i31+i3−3−3i32−3−3i321+i31+i3000000000000000000000−4+4i3−4+4i3−4+4i31−i31−i31−i31−i3−3+3i321−i3−3+3i321−i31−i31−i3−3+3i32−3+3i321−i31−i3000000000000000000000
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χ1098-808-2-82-2-222000000000000000000000000000−4−4i34+4i30−4−4i31+i34+4i3−1−i31+i31+i3−1−i3−1−i3000000000000000000000000000−4+4i34−4i30−4+4i31−i34−4i3−1+i31−i31−i3−1+i3−1+i3000000000000000000000000000
χ1108-80-282-8-2-222000000000000000000000000000−4−4i34+4i301+i3−4−4i3−1−i34+4i31+i31+i3−1−i3−1−i3000000000000000000000000000−4+4i34−4i301−i3−4+4i3−1+i34−4i31−i31−i3−1+i3−1+i3000000000000000000000000000
χ1118-80-2-2223-2-3200i5−i52i5−2i5000000000000000000000−4−4i34+4i301+i31+i3−1−i3−1−i3−3−3i321+i33+3i32−1−i300ζ7−ζ19−ζ31+ζ43−ζ7+ζ19+ζ31−ζ432ζ7−2ζ19−2ζ31+2ζ43−2ζ7+2ζ19+2ζ31−2ζ43000000000000000000000−4+4i34−4i301−i31−i3−1+i3−1+i3−3+3i321−i33−3i32−1+i300−ζ11+ζ23+ζ47−ζ59ζ11−ζ23−ζ47+ζ59−2ζ11+2ζ23+2ζ47−2ζ592ζ11−2ζ23−2ζ47+2ζ59000000000000000000000
χ1128-80-2-2223-2-3200−i5i5−2i52i5000000000000000000000−4−4i34+4i301+i31+i3−1−i3−1−i3−3−3i321+i33+3i32−1−i300−ζ7+ζ19+ζ31−ζ43ζ7−ζ19−ζ31+ζ43−2ζ7+2ζ19+2ζ31−2ζ432ζ7−2ζ19−2ζ31+2ζ43000000000000000000000−4+4i34−4i301−i31−i3−1+i3−1+i3−3+3i321−i33−3i32−1+i300ζ11−ζ23−ζ47+ζ59−ζ11+ζ23+ζ47−ζ592ζ11−2ζ23−2ζ47+2ζ59−2ζ11+2ζ23+2ζ47−2ζ59000000000000000000000
χ1138-80-2-222-232-3002i5−2i5−i5i5000000000000000000000−4−4i34+4i301+i31+i3−1−i3−1−i31+i3−3−3i32−1−i33+3i32002ζ7−2ζ19−2ζ31+2ζ43−2ζ7+2ζ19+2ζ31−2ζ43−ζ7+ζ19+ζ31−ζ43ζ7−ζ19−ζ31+ζ43000000000000000000000−4+4i34−4i301−i31−i3−1+i3−1+i31−i3−3+3i32−1+i33−3i3200−2ζ11+2ζ23+2ζ47−2ζ592ζ11−2ζ23−2ζ47+2ζ59ζ11−ζ23−ζ47+ζ59−ζ11+ζ23+ζ47−ζ59000000000000000000000
χ1148-80-2-222-232-300−2i52i5i5−i5000000000000000000000−4−4i34+4i301+i31+i3−1−i3−1−i31+i3−3−3i32−1−i33+3i3200−2ζ7+2ζ19+2ζ31−2ζ432ζ7−2ζ19−2ζ31+2ζ43ζ7−ζ19−ζ31+ζ43−ζ7+ζ19+ζ31−ζ43000000000000000000000−4+4i34−4i301−i31−i3−1+i3−1+i31−i3−3+3i32−1+i33−3i32002ζ11−2ζ23−2ζ47+2ζ59−2ζ11+2ζ23+2ζ47−2ζ59−ζ11+ζ23+ζ47−ζ59ζ11−ζ23−ζ47+ζ59000000000000000000000

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