Finite Group Databasebeta

← Group #72229570

Character table — Group #72229570

Order 2400.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size112244444444444488888888888810101010101020202020202020202020202025255050150150150150112244444444444488888888888810101010101020202020202020202020202025255050150150150150
order1236551010151515153030303055101015151515303030304412121212202020206060606060606060226644442266101010103030303030303030101010103030303030303030441212121220202020606060606060606022664444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1
χ311111111111111111111111111111-111-1-111-1-11111-1-1-1-1-1-1-1-1ii−i−i11111111111111111111111111111-111-1-111-1-11111-1-1-1-1-1-1-1-1ii−i−i
χ411111111111111111111111111111-111-1-111-1-11111-1-1-1-1-1-1-1-1−i−iii11111111111111111111111111111-111-1-111-1-11111-1-1-1-1-1-1-1-1−i−iii
χ51111111111111111111111111111-11-1-111-1-111-1-1-1-11111-1-1-1-1i−ii−i1111111111111111111111111111-11-1-111-1-111-1-1-1-11111-1-1-1-1i−ii−i
χ61111111111111111111111111111-11-1-111-1-111-1-1-1-11111-1-1-1-1−ii−ii1111111111111111111111111111-11-1-111-1-111-1-1-1-11111-1-1-1-1−ii−ii
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1
χ922-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-122-1-1000022-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-122-1-10000
χ1022-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12-2-1-11122-2-2-1-1-1-11111-2-211000022-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12-2-1-11122-2-2-1-1-1-11111-2-2110000
χ1122-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2211-1-1-2-2221111-1-1-1-1-2-211000022-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2211-1-1-2-2221111-1-1-1-1-2-2110000
χ1222-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-21111-2-2-2-21111111122-1-1000022-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-21111-2-2-2-21111111122-1-10000
χ132-22-222-2-22222-2-2-2-222-2-22222-2-2-2-20000000000000000002-22-200002-22-222-2-22222-2-2-2-222-2-22222-2-2-2-20000000000000000002-22-20000
χ142-22-222-2-22222-2-2-2-222-2-22222-2-2-2-2000000000000000000-22-2200002-22-222-2-22222-2-2-2-222-2-22222-2-2-2-2000000000000000000-22-220000
χ152-2-1122-2-2-1-1-1-1111122-2-2-1-1-1-11111003−33−3000033−3−333−3−32-2-1100002-2-1122-2-2-1-1-1-1111122-2-2-1-1-1-11111003−33−3000033−3−333−3−32-2-110000
χ162-2-1122-2-2-1-1-1-1111122-2-2-1-1-1-11111003−3−33000033−3−3−3−333-221-100002-2-1122-2-2-1-1-1-1111122-2-2-1-1-1-11111003−3−33000033−3−3−3−333-221-10000
χ172-2-1122-2-2-1-1-1-1111122-2-2-1-1-1-1111100−333−30000−3−33333−3−3-221-100002-2-1122-2-2-1-1-1-1111122-2-2-1-1-1-1111100−333−30000−3−33333−3−3-221-10000
χ182-2-1122-2-2-1-1-1-1111122-2-2-1-1-1-1111100−33−330000−3−333−3−3332-2-1100002-2-1122-2-2-1-1-1-1111122-2-2-1-1-1-1111100−33−330000−3−333−3−3332-2-110000
χ1944444-14-144-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-104004400-1-10000-1-1-1-10000000044444-14-144-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-104004400-1-10000-1-1-1-100000000
χ2044444-14-144-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-10-400-4-40011000011110000000044444-14-144-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-10-400-4-400110000111100000000
χ214444-14-14-1-144-1-144-1-1-1-1-1-1-1-1-1-1-1-1404400-1-100-1-1-1-10000000000004444-14-14-1-144-1-144-1-1-1-1-1-1-1-1-1-1-1-1404400-1-100-1-1-1-1000000000000
χ224444-14-14-1-144-1-144-1-1-1-1-1-1-1-1-1-1-1-1-40-4-400110011110000000000004444-14-14-1-144-1-144-1-1-1-1-1-1-1-1-1-1-1-1-40-4-40011001111000000000000
χ2344-2-24-14-1-2-21−i1521+i152-2-21−i1521+i152-1-1-1-11−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1520400-2-200-1-100001−i1521+i1521−i1521+i1520000000044-2-24-14-1-2-21−i1521+i152-2-21−i1521+i152-1-1-1-11−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1520400-2-200-1-100001−i1521+i1521−i1521+i15200000000
χ2444-2-24-14-1-2-21−i1521+i152-2-21−i1521+i152-1-1-1-11−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1520-4002200110000−1+i152−1−i152−1+i152−1−i1520000000044-2-24-14-1-2-21−i1521+i152-2-21−i1521+i152-1-1-1-11−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1520-4002200110000−1+i152−1−i152−1+i152−1−i15200000000
χ2544-2-24-14-1-2-21+i1521−i152-2-21+i1521−i152-1-1-1-11+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1520400-2-200-1-100001+i1521−i1521+i1521−i1520000000044-2-24-14-1-2-21+i1521−i152-2-21+i1521−i152-1-1-1-11+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1520400-2-200-1-100001+i1521−i1521+i1521−i15200000000
χ2644-2-24-14-1-2-21+i1521−i152-2-21+i1521−i152-1-1-1-11+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1520-4002200110000−1−i152−1+i152−1−i152−1+i1520000000044-2-24-14-1-2-21+i1521−i152-2-21+i1521−i152-1-1-1-11+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1520-4002200110000−1−i152−1+i152−1−i152−1+i15200000000
χ2744-2-2-14-141−i1521+i152-2-21−i1521+i152-2-2-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i15240-2-200-1-1001−i1521+i1521−i1521+i15200000000000044-2-2-14-141−i1521+i152-2-21−i1521+i152-2-2-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i15240-2-200-1-1001−i1521+i1521−i1521+i152000000000000
χ2844-2-2-14-141−i1521+i152-2-21−i1521+i152-2-2-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i152-4022001100−1+i152−1−i152−1+i152−1−i15200000000000044-2-2-14-141−i1521+i152-2-21−i1521+i152-2-2-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i152-4022001100−1+i152−1−i152−1+i152−1−i152000000000000
χ2944-2-2-14-141+i1521−i152-2-21+i1521−i152-2-2-1-1-1-11+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i15240-2-200-1-1001+i1521−i1521+i1521−i15200000000000044-2-2-14-141+i1521−i152-2-21+i1521−i152-2-2-1-1-1-11+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i15240-2-200-1-1001+i1521−i1521+i1521−i152000000000000
χ3044-2-2-14-141+i1521−i152-2-21+i1521−i152-2-2-1-1-1-11+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i152-4022001100−1−i152−1+i152−1−i152−1+i15200000000000044-2-2-14-141+i1521−i152-2-21+i1521−i152-2-2-1-1-1-11+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i152-4022001100−1−i152−1+i152−1−i152−1+i152000000000000
χ314-44-44-1-4144-1-1-4-411-1-111-1-1-1-1111100000000−i5i50000−i5i5i5−i5000000004-44-44-1-4144-1-1-4-411-1-111-1-1-1-1111100000000−i5i50000−i5i5i5−i500000000
χ324-44-44-1-4144-1-1-4-411-1-111-1-1-1-1111100000000i5−i50000i5−i5−i5i5000000004-44-44-1-4144-1-1-4-411-1-111-1-1-1-1111100000000i5−i50000i5−i5−i5i500000000
χ334-44-4-141-4-1-14411-4-4-1-111-1-1-1-11111000000−i5i500−i5i5i5−i50000000000004-44-4-141-4-1-14411-4-4-1-111-1-1-1-11111000000−i5i500−i5i5i5−i5000000000000
χ344-44-4-141-4-1-14411-4-4-1-111-1-1-1-11111000000i5−i500i5−i5−i5i50000000000004-44-4-141-4-1-14411-4-4-1-111-1-1-1-11111000000i5−i500i5−i5−i5i5000000000000
χ354-4-224-1-41-2-21−i1521+i15222−1+i152−1−i152-1-1111−i1521−i1521+i1521+i152−1+i152−1+i152−1−i152−1−i152000023−2300i5−i50000ζ7−ζ11+ζ43−ζ59ζ19−ζ23+ζ31−ζ47−ζ7+ζ11−ζ43+ζ59−ζ19+ζ23−ζ31+ζ47000000004-4-224-1-41-2-21−i1521+i15222−1+i152−1−i152-1-1111−i1521−i1521+i1521+i152−1+i152−1+i152−1−i152−1−i152000023−2300i5−i50000ζ7−ζ11+ζ43−ζ59ζ19−ζ23+ζ31−ζ47−ζ7+ζ11−ζ43+ζ59−ζ19+ζ23−ζ31+ζ4700000000
χ364-4-224-1-41-2-21−i1521+i15222−1+i152−1−i152-1-1111−i1521−i1521+i1521+i152−1+i152−1+i152−1−i152−1−i1520000−232300−i5i50000−ζ7+ζ11−ζ43+ζ59−ζ19+ζ23−ζ31+ζ47ζ7−ζ11+ζ43−ζ59ζ19−ζ23+ζ31−ζ47000000004-4-224-1-41-2-21−i1521+i15222−1+i152−1−i152-1-1111−i1521−i1521+i1521+i152−1+i152−1+i152−1−i152−1−i1520000−232300−i5i50000−ζ7+ζ11−ζ43+ζ59−ζ19+ζ23−ζ31+ζ47ζ7−ζ11+ζ43−ζ59ζ19−ζ23+ζ31−ζ4700000000
χ374-4-224-1-41-2-21+i1521−i15222−1−i152−1+i152-1-1111+i1521+i1521−i1521−i152−1−i152−1−i152−1+i152−1+i152000023−2300−i5i50000ζ19−ζ23+ζ31−ζ47ζ7−ζ11+ζ43−ζ59−ζ19+ζ23−ζ31+ζ47−ζ7+ζ11−ζ43+ζ59000000004-4-224-1-41-2-21+i1521−i15222−1−i152−1+i152-1-1111+i1521+i1521−i1521−i152−1−i152−1−i152−1+i152−1+i152000023−2300−i5i50000ζ19−ζ23+ζ31−ζ47ζ7−ζ11+ζ43−ζ59−ζ19+ζ23−ζ31+ζ47−ζ7+ζ11−ζ43+ζ5900000000
χ384-4-224-1-41-2-21+i1521−i15222−1−i152−1+i152-1-1111+i1521+i1521−i1521−i152−1−i152−1−i152−1+i152−1+i1520000−232300i5−i50000−ζ19+ζ23−ζ31+ζ47−ζ7+ζ11−ζ43+ζ59ζ19−ζ23+ζ31−ζ47ζ7−ζ11+ζ43−ζ59000000004-4-224-1-41-2-21+i1521−i15222−1−i152−1+i152-1-1111+i1521+i1521−i1521−i152−1−i152−1−i152−1+i152−1+i1520000−232300i5−i50000−ζ19+ζ23−ζ31+ζ47−ζ7+ζ11−ζ43+ζ59ζ19−ζ23+ζ31−ζ47ζ7−ζ11+ζ43−ζ5900000000
χ394-4-22-141-41−i1521+i152-2-2−1+i152−1−i15222-1-1111−i1521+i1521−i1521+i152−1+i152−1−i152−1+i152−1−i1520023−2300i5−i500ζ7−ζ11+ζ43−ζ59ζ19−ζ23+ζ31−ζ47−ζ7+ζ11−ζ43+ζ59−ζ19+ζ23−ζ31+ζ470000000000004-4-22-141-41−i1521+i152-2-2−1+i152−1−i15222-1-1111−i1521+i1521−i1521+i152−1+i152−1−i152−1+i152−1−i1520023−2300i5−i500ζ7−ζ11+ζ43−ζ59ζ19−ζ23+ζ31−ζ47−ζ7+ζ11−ζ43+ζ59−ζ19+ζ23−ζ31+ζ47000000000000
χ404-4-22-141-41−i1521+i152-2-2−1+i152−1−i15222-1-1111−i1521+i1521−i1521+i152−1+i152−1−i152−1+i152−1−i15200−232300−i5i500−ζ7+ζ11−ζ43+ζ59−ζ19+ζ23−ζ31+ζ47ζ7−ζ11+ζ43−ζ59ζ19−ζ23+ζ31−ζ470000000000004-4-22-141-41−i1521+i152-2-2−1+i152−1−i15222-1-1111−i1521+i1521−i1521+i152−1+i152−1−i152−1+i152−1−i15200−232300−i5i500−ζ7+ζ11−ζ43+ζ59−ζ19+ζ23−ζ31+ζ47ζ7−ζ11+ζ43−ζ59ζ19−ζ23+ζ31−ζ47000000000000
χ414-4-22-141-41+i1521−i152-2-2−1−i152−1+i15222-1-1111+i1521−i1521+i1521−i152−1−i152−1+i152−1−i152−1+i1520023−2300−i5i500ζ19−ζ23+ζ31−ζ47ζ7−ζ11+ζ43−ζ59−ζ19+ζ23−ζ31+ζ47−ζ7+ζ11−ζ43+ζ590000000000004-4-22-141-41+i1521−i152-2-2−1−i152−1+i15222-1-1111+i1521−i1521+i1521−i152−1−i152−1+i152−1−i152−1+i1520023−2300−i5i500ζ19−ζ23+ζ31−ζ47ζ7−ζ11+ζ43−ζ59−ζ19+ζ23−ζ31+ζ47−ζ7+ζ11−ζ43+ζ59000000000000
χ424-4-22-141-41+i1521−i152-2-2−1−i152−1+i15222-1-1111+i1521−i1521+i1521−i152−1−i152−1+i152−1−i152−1+i15200−232300i5−i500−ζ19+ζ23−ζ31+ζ47−ζ7+ζ11−ζ43+ζ59ζ19−ζ23+ζ31−ζ47ζ7−ζ11+ζ43−ζ590000000000004-4-22-141-41+i1521−i152-2-2−1−i152−1+i15222-1-1111+i1521−i1521+i1521−i152−1−i152−1+i152−1−i152−1+i15200−232300i5−i500−ζ19+ζ23−ζ31+ζ47−ζ7+ζ11−ζ43+ζ59ζ19−ζ23+ζ31−ζ47ζ7−ζ11+ζ43−ζ59000000000000
χ438888-2-2-2-2-2-2-2-2-2-2-2-23-23-23-2-233-2-23000000000000000000000000008888-2-2-2-2-2-2-2-2-2-2-2-23-23-23-2-233-2-2300000000000000000000000000
χ448888-2-2-2-2-2-2-2-2-2-2-2-2-23-23-233-2-233-2000000000000000000000000008888-2-2-2-2-2-2-2-2-2-2-2-2-23-23-233-2-233-200000000000000000000000000
χ4588-4-4-2-2-2-21−i151+i151−i151+i151−i151+i151−i151+i153-23-2−3+i15211−3−i152−3+i15211−3−i1520000000000000000000000000088-4-4-2-2-2-21−i151+i151−i151+i151−i151+i151−i151+i153-23-2−3+i15211−3−i152−3+i15211−3−i15200000000000000000000000000
χ4688-4-4-2-2-2-21−i151+i151+i151−i151−i151+i151+i151−i15-23-231−3−i152−3+i15211−3−i152−3+i15210000000000000000000000000088-4-4-2-2-2-21−i151+i151+i151−i151−i151+i151+i151−i15-23-231−3−i152−3+i15211−3−i152−3+i152100000000000000000000000000
χ4788-4-4-2-2-2-21+i151−i151−i151+i151+i151−i151−i151+i15-23-231−3+i152−3−i15211−3+i152−3−i15210000000000000000000000000088-4-4-2-2-2-21+i151−i151−i151+i151+i151−i151−i151+i15-23-231−3+i152−3−i15211−3+i152−3−i152100000000000000000000000000
χ4888-4-4-2-2-2-21+i151−i151+i151−i151+i151−i151+i151−i153-23-2−3−i15211−3+i152−3−i15211−3+i1520000000000000000000000000088-4-4-2-2-2-21+i151−i151+i151−i151+i151−i151+i151−i153-23-2−3−i15211−3+i152−3−i15211−3+i15200000000000000000000000000
χ498-88-8-2-222-2-2-2-222223-2-323-2-23-322-3000000000000000000000000008-88-8-2-222-2-2-2-222223-2-323-2-23-322-300000000000000000000000000
χ508-88-8-2-222-2-2-2-22222-232-3-233-22-3-32000000000000000000000000008-88-8-2-222-2-2-2-22222-232-3-233-22-3-3200000000000000000000000000
χ518-8-44-2-2221−i151+i151−i151+i15−1+i15−1−i15−1+i15−1−i153-2-32−3+i15211−3−i1523−i152-1-13+i152000000000000000000000000008-8-44-2-2221−i151+i151−i151+i15−1+i15−1−i15−1+i15−1−i153-2-32−3+i15211−3−i1523−i152-1-13+i15200000000000000000000000000
χ528-8-44-2-2221−i151+i151+i151−i15−1+i15−1−i15−1−i15−1+i15-232-31−3−i152−3+i1521-13+i1523−i152-1000000000000000000000000008-8-44-2-2221−i151+i151+i151−i15−1+i15−1−i15−1−i15−1+i15-232-31−3−i152−3+i1521-13+i1523−i152-100000000000000000000000000
χ538-8-44-2-2221+i151−i151−i151+i15−1−i15−1+i15−1+i15−1−i15-232-31−3+i152−3−i1521-13−i1523+i152-1000000000000000000000000008-8-44-2-2221+i151−i151−i151+i15−1−i15−1+i15−1+i15−1−i15-232-31−3+i152−3−i1521-13−i1523+i152-100000000000000000000000000
χ548-8-44-2-2221+i151−i151+i151−i15−1−i15−1+i15−1−i15−1+i153-2-32−3−i15211−3+i1523+i152-1-13−i152000000000000000000000000008-8-44-2-2221+i151−i151+i151−i15−1−i15−1+i15−1−i15−1+i153-2-32−3−i15211−3+i1523+i152-1-13−i15200000000000000000000000000
χ55111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ5611111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5711111111111111111111111111111-111-1-111-1-11111-1-1-1-1-1-1-1-1ii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-111111111−i−iii
χ5811111111111111111111111111111-111-1-111-1-11111-1-1-1-1-1-1-1-1−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-111111111ii−i−i
χ591111111111111111111111111111-11-1-111-1-111-1-1-1-11111-1-1-1-1i−ii−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-1-1-11111−ii−ii
χ601111111111111111111111111111-11-1-111-1-111-1-1-1-11111-1-1-1-1−ii−ii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-1-1-11111i−ii−i
χ611111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-111-1
χ621111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11-1-11
χ6322-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-122-1-10000-2-211-2-2-2-211111111-2-2-2-211111111-2-21111-2-2-2-211111111-2-2110000
χ6422-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12-2-1-11122-2-2-1-1-1-11111-2-2110000-2-211-2-2-2-211111111-2-2-2-211111111-2211-1-1-2-2221111-1-1-1-122-1-10000
χ6522-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2211-1-1-2-2221111-1-1-1-1-2-2110000-2-211-2-2-2-211111111-2-2-2-2111111112-2-1-11122-2-2-1-1-1-1111122-1-10000
χ6622-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-21111-2-2-2-21111111122-1-10000-2-211-2-2-2-211111111-2-2-2-21111111122-1-1-1-12222-1-1-1-1-1-1-1-1-2-2110000
χ672-22-222-2-22222-2-2-2-222-2-22222-2-2-2-20000000000000000002-22-20000-22-22-2-222-2-2-2-22222-2-222-2-2-2-22222000000000000000000-22-220000
χ682-22-222-2-22222-2-2-2-222-2-22222-2-2-2-2000000000000000000-22-220000-22-22-2-222-2-2-2-22222-2-222-2-2-2-222220000000000000000002-22-20000
χ692-2-1122-2-2-1-1-1-1111122-2-2-1-1-1-11111003−33−3000033−3−333−3−32-2-110000-221-1-2-2221111-1-1-1-1-2-2221111-1-1-1-100−33−330000−3−333−3−333-221-10000
χ702-2-1122-2-2-1-1-1-1111122-2-2-1-1-1-11111003−3−33000033−3−3−3−333-221-10000-221-1-2-2221111-1-1-1-1-2-2221111-1-1-1-100−333−30000−3−33333−3−32-2-110000
χ712-2-1122-2-2-1-1-1-1111122-2-2-1-1-1-1111100−333−30000−3−33333−3−3-221-10000-221-1-2-2221111-1-1-1-1-2-2221111-1-1-1-1003−3−33000033−3−3−3−3332-2-110000
χ722-2-1122-2-2-1-1-1-1111122-2-2-1-1-1-1111100−33−330000−3−333−3−3332-2-110000-221-1-2-2221111-1-1-1-1-2-2221111-1-1-1-1003−33−3000033−3−333−3−3-221-10000
χ7344444-14-144-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-104004400-1-10000-1-1-1-100000000-4-4-4-4-41-41-4-411-4-4111111111111110-400-4-400110000111100000000
χ7444444-14-144-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-10-400-4-400110000111100000000-4-4-4-4-41-41-4-411-4-41111111111111104004400-1-10000-1-1-1-100000000
χ754444-14-14-1-144-1-144-1-1-1-1-1-1-1-1-1-1-1-1404400-1-100-1-1-1-1000000000000-4-4-4-41-41-411-4-411-4-4111111111111-40-4-40011001111000000000000
χ764444-14-14-1-144-1-144-1-1-1-1-1-1-1-1-1-1-1-1-40-4-40011001111000000000000-4-4-4-41-41-411-4-411-4-4111111111111404400-1-100-1-1-1-1000000000000
χ7744-2-24-14-1-2-21−i1521+i152-2-21−i1521+i152-1-1-1-11−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1520400-2-200-1-100001−i1521+i1521−i1521+i15200000000-4-422-41-4122−1+i152−1−i15222−1+i152−1−i1521111−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i1520-4002200110000−1+i152−1−i152−1+i152−1−i15200000000
χ7844-2-24-14-1-2-21−i1521+i152-2-21−i1521+i152-1-1-1-11−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1520-4002200110000−1+i152−1−i152−1+i152−1−i15200000000-4-422-41-4122−1+i152−1−i15222−1+i152−1−i1521111−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i1520400-2-200-1-100001−i1521+i1521−i1521+i15200000000
χ7944-2-24-14-1-2-21+i1521−i152-2-21+i1521−i152-1-1-1-11+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1520400-2-200-1-100001+i1521−i1521+i1521−i15200000000-4-422-41-4122−1−i152−1+i15222−1−i152−1+i1521111−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i1520-4002200110000−1−i152−1+i152−1−i152−1+i15200000000
χ8044-2-24-14-1-2-21+i1521−i152-2-21+i1521−i152-1-1-1-11+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1520-4002200110000−1−i152−1+i152−1−i152−1+i15200000000-4-422-41-4122−1−i152−1+i15222−1−i152−1+i1521111−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i1520400-2-200-1-100001+i1521−i1521+i1521−i15200000000
χ8144-2-2-14-141−i1521+i152-2-21−i1521+i152-2-2-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i15240-2-200-1-1001−i1521+i1521−i1521+i152000000000000-4-4221-41-4−1+i152−1−i15222−1+i152−1−i152221111−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152-4022001100−1+i152−1−i152−1+i152−1−i152000000000000
χ8244-2-2-14-141−i1521+i152-2-21−i1521+i152-2-2-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i152-4022001100−1+i152−1−i152−1+i152−1−i152000000000000-4-4221-41-4−1+i152−1−i15222−1+i152−1−i152221111−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i15240-2-200-1-1001−i1521+i1521−i1521+i152000000000000
χ8344-2-2-14-141+i1521−i152-2-21+i1521−i152-2-2-1-1-1-11+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i15240-2-200-1-1001+i1521−i1521+i1521−i152000000000000-4-4221-41-4−1−i152−1+i15222−1−i152−1+i152221111−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152-4022001100−1−i152−1+i152−1−i152−1+i152000000000000
χ8444-2-2-14-141+i1521−i152-2-21+i1521−i152-2-2-1-1-1-11+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i152-4022001100−1−i152−1+i152−1−i152−1+i152000000000000-4-4221-41-4−1−i152−1+i15222−1−i152−1+i152221111−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i15240-2-200-1-1001+i1521−i1521+i1521−i152000000000000
χ854-44-44-1-4144-1-1-4-411-1-111-1-1-1-1111100000000−i5i50000−i5i5i5−i500000000-44-44-414-1-4-41144-1-111-1-11111-1-1-1-100000000i5−i50000i5−i5−i5i500000000
χ864-44-44-1-4144-1-1-4-411-1-111-1-1-1-1111100000000i5−i50000i5−i5−i5i500000000-44-44-414-1-4-41144-1-111-1-11111-1-1-1-100000000−i5i50000−i5i5i5−i500000000
χ874-44-4-141-4-1-14411-4-4-1-111-1-1-1-11111000000−i5i500−i5i5i5−i5000000000000-44-441-4-1411-4-4-1-14411-1-11111-1-1-1-1000000i5−i500i5−i5−i5i5000000000000
χ884-44-4-141-4-1-14411-4-4-1-111-1-1-1-11111000000i5−i500i5−i5−i5i5000000000000-44-441-4-1411-4-4-1-14411-1-11111-1-1-1-1000000−i5i500−i5i5i5−i5000000000000
χ894-4-224-1-41-2-21−i1521+i15222−1+i152−1−i152-1-1111−i1521−i1521+i1521+i152−1+i152−1+i152−1−i152−1−i152000023−2300i5−i50000ζ7−ζ11+ζ43−ζ59ζ19−ζ23+ζ31−ζ47−ζ7+ζ11−ζ43+ζ59−ζ19+ζ23−ζ31+ζ4700000000-442-2-414-122−1+i152−1−i152-2-21−i1521+i15211-1-1−1+i152−1+i152−1−i152−1−i1521−i1521−i1521+i1521+i1520000−232300−i5i50000−ζ7+ζ11−ζ43+ζ59−ζ19+ζ23−ζ31+ζ47ζ7−ζ11+ζ43−ζ59ζ19−ζ23+ζ31−ζ4700000000
χ904-4-224-1-41-2-21−i1521+i15222−1+i152−1−i152-1-1111−i1521−i1521+i1521+i152−1+i152−1+i152−1−i152−1−i1520000−232300−i5i50000−ζ7+ζ11−ζ43+ζ59−ζ19+ζ23−ζ31+ζ47ζ7−ζ11+ζ43−ζ59ζ19−ζ23+ζ31−ζ4700000000-442-2-414-122−1+i152−1−i152-2-21−i1521+i15211-1-1−1+i152−1+i152−1−i152−1−i1521−i1521−i1521+i1521+i152000023−2300i5−i50000ζ7−ζ11+ζ43−ζ59ζ19−ζ23+ζ31−ζ47−ζ7+ζ11−ζ43+ζ59−ζ19+ζ23−ζ31+ζ4700000000
χ914-4-224-1-41-2-21+i1521−i15222−1−i152−1+i152-1-1111+i1521+i1521−i1521−i152−1−i152−1−i152−1+i152−1+i152000023−2300−i5i50000ζ19−ζ23+ζ31−ζ47ζ7−ζ11+ζ43−ζ59−ζ19+ζ23−ζ31+ζ47−ζ7+ζ11−ζ43+ζ5900000000-442-2-414-122−1−i152−1+i152-2-21+i1521−i15211-1-1−1−i152−1−i152−1+i152−1+i1521+i1521+i1521−i1521−i1520000−232300i5−i50000−ζ19+ζ23−ζ31+ζ47−ζ7+ζ11−ζ43+ζ59ζ19−ζ23+ζ31−ζ47ζ7−ζ11+ζ43−ζ5900000000
χ924-4-224-1-41-2-21+i1521−i15222−1−i152−1+i152-1-1111+i1521+i1521−i1521−i152−1−i152−1−i152−1+i152−1+i1520000−232300i5−i50000−ζ19+ζ23−ζ31+ζ47−ζ7+ζ11−ζ43+ζ59ζ19−ζ23+ζ31−ζ47ζ7−ζ11+ζ43−ζ5900000000-442-2-414-122−1−i152−1+i152-2-21+i1521−i15211-1-1−1−i152−1−i152−1+i152−1+i1521+i1521+i1521−i1521−i152000023−2300−i5i50000ζ19−ζ23+ζ31−ζ47ζ7−ζ11+ζ43−ζ59−ζ19+ζ23−ζ31+ζ47−ζ7+ζ11−ζ43+ζ5900000000
χ934-4-22-141-41−i1521+i152-2-2−1+i152−1−i15222-1-1111−i1521+i1521−i1521+i152−1+i152−1−i152−1+i152−1−i1520023−2300i5−i500ζ7−ζ11+ζ43−ζ59ζ19−ζ23+ζ31−ζ47−ζ7+ζ11−ζ43+ζ59−ζ19+ζ23−ζ31+ζ47000000000000-442-21-4-14−1+i152−1−i152221−i1521+i152-2-211-1-1−1+i152−1−i152−1+i152−1−i1521−i1521+i1521−i1521+i15200−232300−i5i500−ζ7+ζ11−ζ43+ζ59−ζ19+ζ23−ζ31+ζ47ζ7−ζ11+ζ43−ζ59ζ19−ζ23+ζ31−ζ47000000000000
χ944-4-22-141-41−i1521+i152-2-2−1+i152−1−i15222-1-1111−i1521+i1521−i1521+i152−1+i152−1−i152−1+i152−1−i15200−232300−i5i500−ζ7+ζ11−ζ43+ζ59−ζ19+ζ23−ζ31+ζ47ζ7−ζ11+ζ43−ζ59ζ19−ζ23+ζ31−ζ47000000000000-442-21-4-14−1+i152−1−i152221−i1521+i152-2-211-1-1−1+i152−1−i152−1+i152−1−i1521−i1521+i1521−i1521+i1520023−2300i5−i500ζ7−ζ11+ζ43−ζ59ζ19−ζ23+ζ31−ζ47−ζ7+ζ11−ζ43+ζ59−ζ19+ζ23−ζ31+ζ47000000000000
χ954-4-22-141-41+i1521−i152-2-2−1−i152−1+i15222-1-1111+i1521−i1521+i1521−i152−1−i152−1+i152−1−i152−1+i1520023−2300−i5i500ζ19−ζ23+ζ31−ζ47ζ7−ζ11+ζ43−ζ59−ζ19+ζ23−ζ31+ζ47−ζ7+ζ11−ζ43+ζ59000000000000-442-21-4-14−1−i152−1+i152221+i1521−i152-2-211-1-1−1−i152−1+i152−1−i152−1+i1521+i1521−i1521+i1521−i15200−232300i5−i500−ζ19+ζ23−ζ31+ζ47−ζ7+ζ11−ζ43+ζ59ζ19−ζ23+ζ31−ζ47ζ7−ζ11+ζ43−ζ59000000000000
χ964-4-22-141-41+i1521−i152-2-2−1−i152−1+i15222-1-1111+i1521−i1521+i1521−i152−1−i152−1+i152−1−i152−1+i15200−232300i5−i500−ζ19+ζ23−ζ31+ζ47−ζ7+ζ11−ζ43+ζ59ζ19−ζ23+ζ31−ζ47ζ7−ζ11+ζ43−ζ59000000000000-442-21-4-14−1−i152−1+i152221+i1521−i152-2-211-1-1−1−i152−1+i152−1−i152−1+i1521+i1521−i1521+i1521−i1520023−2300−i5i500ζ19−ζ23+ζ31−ζ47ζ7−ζ11+ζ43−ζ59−ζ19+ζ23−ζ31+ζ47−ζ7+ζ11−ζ43+ζ59000000000000
χ978888-2-2-2-2-2-2-2-2-2-2-2-23-23-23-2-233-2-2300000000000000000000000000-8-8-8-8222222222222-32-32-322-3-322-300000000000000000000000000
χ988888-2-2-2-2-2-2-2-2-2-2-2-2-23-23-233-2-233-200000000000000000000000000-8-8-8-82222222222222-32-32-3-322-3-3200000000000000000000000000
χ9988-4-4-2-2-2-21−i151+i151−i151+i151−i151+i151−i151+i153-23-2−3+i15211−3−i152−3+i15211−3−i15200000000000000000000000000-8-8442222−1+i15−1−i15−1+i15−1−i15−1+i15−1−i15−1+i15−1−i15-32-323−i152-1-13+i1523−i152-1-13+i15200000000000000000000000000
χ10088-4-4-2-2-2-21−i151+i151+i151−i151−i151+i151+i151−i15-23-231−3−i152−3+i15211−3−i152−3+i152100000000000000000000000000-8-8442222−1+i15−1−i15−1−i15−1+i15−1+i15−1−i15−1−i15−1+i152-32-3-13+i1523−i152-1-13+i1523−i152-100000000000000000000000000
χ10188-4-4-2-2-2-21+i151−i151−i151+i151+i151−i151−i151+i15-23-231−3+i152−3−i15211−3+i152−3−i152100000000000000000000000000-8-8442222−1−i15−1+i15−1+i15−1−i15−1−i15−1+i15−1+i15−1−i152-32-3-13−i1523+i152-1-13−i1523+i152-100000000000000000000000000
χ10288-4-4-2-2-2-21+i151−i151+i151−i151+i151−i151+i151−i153-23-2−3−i15211−3+i152−3−i15211−3+i15200000000000000000000000000-8-8442222−1−i15−1+i15−1−i15−1+i15−1−i15−1+i15−1−i15−1+i15-32-323+i152-1-13−i1523+i152-1-13−i15200000000000000000000000000
χ1038-88-8-2-222-2-2-2-222223-2-323-2-23-322-300000000000000000000000000-88-8822-2-22222-2-2-2-2-323-2-322-33-2-2300000000000000000000000000
χ1048-88-8-2-222-2-2-2-22222-232-3-233-22-3-3200000000000000000000000000-88-8822-2-22222-2-2-2-22-3-232-3-32-233-200000000000000000000000000
χ1058-8-44-2-2221−i151+i151−i151+i15−1+i15−1−i15−1+i15−1−i153-2-32−3+i15211−3−i1523−i152-1-13+i15200000000000000000000000000-884-422-2-2−1+i15−1−i15−1+i15−1−i151−i151+i151−i151+i15-323-23−i152-1-13+i152−3+i15211−3−i15200000000000000000000000000
χ1068-8-44-2-2221−i151+i151+i151−i15−1+i15−1−i15−1−i15−1+i15-232-31−3−i152−3+i1521-13+i1523−i152-100000000000000000000000000-884-422-2-2−1+i15−1−i15−1−i15−1+i151−i151+i151+i151−i152-3-23-13+i1523−i152-11−3−i152−3+i152100000000000000000000000000
χ1078-8-44-2-2221+i151−i151−i151+i15−1−i15−1+i15−1+i15−1−i15-232-31−3+i152−3−i1521-13−i1523+i152-100000000000000000000000000-884-422-2-2−1−i15−1+i15−1+i15−1−i151+i151−i151−i151+i152-3-23-13−i1523+i152-11−3+i152−3−i152100000000000000000000000000
χ1088-8-44-2-2221+i151−i151+i151−i15−1−i15−1+i15−1−i15−1+i153-2-32−3−i15211−3+i1523+i152-1-13−i15200000000000000000000000000-884-422-2-2−1−i15−1+i15−1−i15−1+i151+i151−i151+i151−i15-323-23+i152-1-13−i152−3−i15211−3+i15200000000000000000000000000

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