Finite Group Databasebeta

← Group #11771934

Character table — Group #11771934

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135
size111122222244444444448888888888888888824242424242424241111222222444444444488888888888888888242424242424242411112222224444444444888888888888888882424242424242424
order122222366622446666664444412121212121212121212121244448888366666366666121266666612121212121212121212121212121212121212121224242424366666366666121266666612121212121212121212121212121212121212121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111-1-1-1-111-1-1-1-11ii−i−i11-1-1iiii−i−i−i−i11-1-1ii−i−i1111111111-1-1-1-111-1-1-1-11ii−i−i11-1-1iiii−i−i−i−i11-1-1ii−i−i1111111111-1-1-1-111-1-1-1-11ii−i−i11-1-1iiii−i−i−i−i11-1-1ii−i−i
χ61111111111-1-1-1-111-1-1-1-11ii−i−i11-1-1iiii−i−i−i−i-1-111−i−iii1111111111-1-1-1-111-1-1-1-11ii−i−i11-1-1iiii−i−i−i−i-1-111−i−iii1111111111-1-1-1-111-1-1-1-11ii−i−i11-1-1iiii−i−i−i−i-1-111−i−iii
χ71111111111-1-1-1-111-1-1-1-11−i−iii11-1-1−i−i−i−iiiii11-1-1−i−iii1111111111-1-1-1-111-1-1-1-11−i−iii11-1-1−i−i−i−iiiii11-1-1−i−iii1111111111-1-1-1-111-1-1-1-11−i−iii11-1-1−i−i−i−iiiii11-1-1−i−iii
χ81111111111-1-1-1-111-1-1-1-11−i−iii11-1-1−i−i−i−iiiii-1-111ii−i−i1111111111-1-1-1-111-1-1-1-11−i−iii11-1-1−i−i−i−iiiii-1-111ii−i−i1111111111-1-1-1-111-1-1-1-11−i−iii11-1-1−i−i−i−iiiii-1-111ii−i−i
χ9222222222222-2-2222222-20000-2-2-2-20000000000000000222222222222-2-2222222-20000-2-2-2-20000000000000000222222222222-2-2222222-20000-2-2-2-20000000000000000
χ102222222222-2-22222-2-2-2-2-20000-2-22200000000000000002222222222-2-22222-2-2-2-2-20000-2-22200000000000000002222222222-2-22222-2-2-2-2-20000-2-2220000000000000000
χ11222222-1-1-1-12222-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-100000000222222-1-1-1-12222-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-100000000222222-1-1-1-12222-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ12222222-1-1-1-12222-1-1-1-1-1-12-2-2-2-2-1-1-1-11111111100000000222222-1-1-1-12222-1-1-1-1-1-12-2-2-2-2-1-1-1-11111111100000000222222-1-1-1-12222-1-1-1-1-1-12-2-2-2-2-1-1-1-11111111100000000
χ13222222-1-1-1-122-2-2-1-1-1-1-1-1-200001111−i3−i3i3i3−i3−i3i3i300000000222222-1-1-1-122-2-2-1-1-1-1-1-1-200001111−i3−i3i3i3−i3−i3i3i300000000222222-1-1-1-122-2-2-1-1-1-1-1-1-200001111−i3−i3i3i3−i3−i3i3i300000000
χ14222222-1-1-1-122-2-2-1-1-1-1-1-1-200001111i3i3−i3−i3i3i3−i3−i300000000222222-1-1-1-122-2-2-1-1-1-1-1-1-200001111i3i3−i3−i3i3i3−i3−i300000000222222-1-1-1-122-2-2-1-1-1-1-1-1-200001111i3i3−i3−i3i3i3−i3−i300000000
χ15222222-1-1-1-1-2-222-1-11111-2000011-1-133−3−3−3−33300000000222222-1-1-1-1-2-222-1-11111-2000011-1-133−3−3−3−33300000000222222-1-1-1-1-2-222-1-11111-2000011-1-133−3−3−3−33300000000
χ16222222-1-1-1-1-2-222-1-11111-2000011-1-1−3−33333−3−300000000222222-1-1-1-1-2-222-1-11111-2000011-1-1−3−33333−3−300000000222222-1-1-1-1-2-222-1-11111-2000011-1-1−3−33333−3−300000000
χ17222222-1-1-1-1-2-2-2-2-1-1111122i2i−2i−2i-1-111−i−i−i−iiiii00000000222222-1-1-1-1-2-2-2-2-1-1111122i2i−2i−2i-1-111−i−i−i−iiiii00000000222222-1-1-1-1-2-2-2-2-1-1111122i2i−2i−2i-1-111−i−i−i−iiiii00000000
χ18222222-1-1-1-1-2-2-2-2-1-111112−2i−2i2i2i-1-111iiii−i−i−i−i00000000222222-1-1-1-1-2-2-2-2-1-111112−2i−2i2i2i-1-111iiii−i−i−i−i00000000222222-1-1-1-1-2-2-2-2-1-111112−2i−2i2i2i-1-111iiii−i−i−i−i00000000
χ1922-2-22-222-2-22-2002-222-2-20000000000000000000002−22−222-2-22-222-2-22-2002-222-2-20000000000000000000002−22−222-2-22-222-2-22-2002-222-2-20000000000000000000002−22−2
χ2022-2-22-222-2-22-2002-222-2-2000000000000000000000−22−2222-2-22-222-2-22-2002-222-2-2000000000000000000000−22−2222-2-22-222-2-22-2002-222-2-2000000000000000000000−22−22
χ2122-2-22-222-2-2-22002-2-2-222000000000000000000000−i2i2i2−i222-2-22-222-2-2-22002-2-2-222000000000000000000000−i2i2i2−i222-2-22-222-2-2-22002-2-2-222000000000000000000000−i2i2i2−i2
χ2222-2-22-222-2-2-22002-2-2-222000000000000000000000i2−i2−i2i222-2-22-222-2-2-22002-2-2-222000000000000000000000i2−i2−i2i222-2-22-222-2-2-22002-2-2-222000000000000000000000i2−i2−i2i2
χ2322-2-2-2222-2-2002i−2i-22000001+i−1−i1−i−1+i002i−2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000022-2-2-2222-2-2002i−2i-22000001+i−1−i1−i−1+i002i−2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000022-2-2-2222-2-2002i−2i-22000001+i−1−i1−i−1+i002i−2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000
χ2422-2-2-2222-2-2002i−2i-2200000−1−i1+i−1+i1−i002i−2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000022-2-2-2222-2-2002i−2i-2200000−1−i1+i−1+i1−i002i−2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000022-2-2-2222-2-2002i−2i-2200000−1−i1+i−1+i1−i002i−2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000
χ2522-2-2-2222-2-200−2i2i-22000001−i−1+i1+i−1−i00−2i2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000022-2-2-2222-2-200−2i2i-22000001−i−1+i1+i−1−i00−2i2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000022-2-2-2222-2-200−2i2i-22000001−i−1+i1+i−1−i00−2i2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000
χ2622-2-2-2222-2-200−2i2i-2200000−1+i1−i−1−i1+i00−2i2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000022-2-2-2222-2-200−2i2i-2200000−1+i1−i−1−i1+i00−2i2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000022-2-2-2222-2-200−2i2i-2200000−1+i1−i−1−i1+i00−2i2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000
χ2722-2-2-22-1-111002i−2i1-1−i3i3−i3i301+i−1−i1−i−1+i3−3−ii−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ220000000022-2-2-22-1-111002i−2i1-1−i3i3−i3i301+i−1−i1−i−1+i3−3−ii−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ220000000022-2-2-22-1-111002i−2i1-1−i3i3−i3i301+i−1−i1−i−1+i3−3−ii−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ2200000000
χ2822-2-2-22-1-111002i−2i1-1−i3i3−i3i30−1−i1+i−1+i1−i3−3−iiζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ220000000022-2-2-22-1-111002i−2i1-1−i3i3−i3i30−1−i1+i−1+i1−i3−3−iiζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ220000000022-2-2-22-1-111002i−2i1-1−i3i3−i3i30−1−i1+i−1+i1−i3−3−iiζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ2200000000
χ2922-2-2-22-1-111002i−2i1-1i3−i3i3−i301+i−1−i1−i−1+i−33−ii−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ140000000022-2-2-22-1-111002i−2i1-1i3−i3i3−i301+i−1−i1−i−1+i−33−ii−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ140000000022-2-2-22-1-111002i−2i1-1i3−i3i3−i301+i−1−i1−i−1+i−33−ii−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ1400000000
χ3022-2-2-22-1-111002i−2i1-1i3−i3i3−i30−1−i1+i−1+i1−i−33−iiζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ14ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ140000000022-2-2-22-1-111002i−2i1-1i3−i3i3−i30−1−i1+i−1+i1−i−33−iiζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ14ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ140000000022-2-2-22-1-111002i−2i1-1i3−i3i3−i30−1−i1+i−1+i1−i−33−iiζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ14ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ1400000000
χ3122-2-2-22-1-11100−2i2i1-1−i3i3−i3i301−i−1+i1+i−1−i−33i−i−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ220000000022-2-2-22-1-11100−2i2i1-1−i3i3−i3i301−i−1+i1+i−1−i−33i−i−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ220000000022-2-2-22-1-11100−2i2i1-1−i3i3−i3i301−i−1+i1+i−1−i−33i−i−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ2200000000
χ3222-2-2-22-1-11100−2i2i1-1−i3i3−i3i30−1+i1−i−1−i1+i−33i−iζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ220000000022-2-2-22-1-11100−2i2i1-1−i3i3−i3i30−1+i1−i−1−i1+i−33i−iζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ220000000022-2-2-22-1-11100−2i2i1-1−i3i3−i3i30−1+i1−i−1−i1+i−33i−iζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ2200000000
χ3322-2-2-22-1-11100−2i2i1-1i3−i3i3−i301−i−1+i1+i−1−i3−3i−i−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ140000000022-2-2-22-1-11100−2i2i1-1i3−i3i3−i301−i−1+i1+i−1−i3−3i−i−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ140000000022-2-2-22-1-11100−2i2i1-1i3−i3i3−i301−i−1+i1+i−1−i3−3i−i−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ1400000000
χ3422-2-2-22-1-11100−2i2i1-1i3−i3i3−i30−1+i1−i−1−i1+i3−3i−iζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ140000000022-2-2-22-1-11100−2i2i1-1i3−i3i3−i30−1+i1−i−1−i1+i3−3i−iζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ140000000022-2-2-22-1-11100−2i2i1-1i3−i3i3−i30−1+i1−i−1−i1+i3−3i−iζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ1400000000
χ354444-4-444440000-4-4000000000000000000000000000004444-4-444440000-4-4000000000000000000000000000004444-4-444440000-4-400000000000000000000000000000
χ364444-4-4-2-2-2-2000022−2i32i32i3−2i300000000000000000000000004444-4-4-2-2-2-2000022−2i32i32i3−2i300000000000000000000000004444-4-4-2-2-2-2000022−2i32i32i3−2i30000000000000000000000000
χ374444-4-4-2-2-2-20000222i3−2i3−2i32i300000000000000000000000004444-4-4-2-2-2-20000222i3−2i3−2i32i300000000000000000000000004444-4-4-2-2-2-20000222i3−2i3−2i32i30000000000000000000000000
χ3844-4-44-4-2-2224-400-22-2-222000000000000000000000000044-4-44-4-2-2224-400-22-2-222000000000000000000000000044-4-44-4-2-2224-400-22-2-2220000000000000000000000000
χ3944-4-44-4-2-222-4400-2222-2-2000000000000000000000000044-4-44-4-2-222-4400-2222-2-2000000000000000000000000044-4-44-4-2-222-4400-2222-2-20000000000000000000000000
χ404-44-4004-44-40000000000000000000000000002i−2i0000004-44-4004-44-40000000000000000000000000002i−2i0000004-44-4004-44-40000000000000000000000000002i−2i000000
χ414-44-4004-44-4000000000000000000000000000−2i2i0000004-44-4004-44-4000000000000000000000000000−2i2i0000004-44-4004-44-4000000000000000000000000000−2i2i000000
χ424-4-44004-4-44000000000000000000000000000002-200004-4-44004-4-44000000000000000000000000000002-200004-4-44004-4-44000000000000000000000000000002-20000
χ434-4-44004-4-4400000000000000000000000000000-2200004-4-44004-4-4400000000000000000000000000000-2200004-4-44004-4-4400000000000000000000000000000-220000
χ448-88-800-44-44000000000000000000000000000000000008-88-800-44-44000000000000000000000000000000000008-88-800-44-4400000000000000000000000000000000000
χ458-8-8800-444-4000000000000000000000000000000000008-8-8800-444-4000000000000000000000000000000000008-8-8800-444-400000000000000000000000000000000000
χ46111111111111111111111111111111111111111111111−1+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−i32−1−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
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χ48111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1−1+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+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−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
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χ99222222222222-2-2222222-20000-2-2-2-20000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i300001+i31+i31+i31+i30000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i300001−i31−i31−i31−i30000000000000000
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χ102222222-1-1-1-12222-1-1-1-1-1-12-2-2-2-2-1-1-1-11111111100000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i31+i31+i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i31−i31−i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200000000
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χ107222222-1-1-1-1-2-2-2-2-1-1111122i2i−2i−2i-1-111−i−i−i−iiiii00000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i31+i31+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32ζ222ζ22−2ζ22−2ζ221+i321+i32−1−i32−1−i32−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ2200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i31−i31−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ142ζ14−2ζ14−2ζ141−i321−i32−1+i32−1+i32−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ1400000000
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χ11622-2-2-2222-2-200−2i2i-2200000−1+i1−i−1−i1+i00−2i2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000−1−i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i300−2ζ222ζ221+i3−1−i300000ζ4+ζ22−ζ4−ζ22ζ4−ζ22−ζ4+ζ2200−2ζ222ζ22ζ4+ζ22−ζ4−ζ22ζ4+ζ22−ζ4−ζ22ζ4−ζ22−ζ4+ζ22ζ4−ζ22−ζ4+ζ2200000000−1+i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i300−2ζ142ζ141−i3−1+i300000ζ14+ζ20−ζ14−ζ20−ζ14+ζ20ζ14−ζ2000−2ζ142ζ14ζ14+ζ20−ζ14−ζ20ζ14+ζ20−ζ14−ζ20−ζ14+ζ20ζ14−ζ20−ζ14+ζ20ζ14−ζ2000000000
χ11722-2-2-22-1-111002i−2i1-1−i3i3−i3i301+i−1−i1−i−1+i3−3−ii−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ2200000000−1−i3−1−i31+i31+i31+i3−1−i31+i321+i32−1−i32−1−i32002ζ22−2ζ22−1−i321+i32−3+i323−i32−3+i323−i320−ζ4+ζ22ζ4−ζ22−ζ4−ζ22ζ4+ζ222ζ14+ζ22−2ζ14−ζ22−ζ22ζ22−ζ14−ζ20−ζ22ζ14+ζ20+ζ22ζ4+ζ14+ζ20−ζ4−ζ14−ζ20ζ14−ζ20+ζ22−ζ14+ζ20−ζ22ζ4−ζ14+ζ20−ζ4+ζ14−ζ2000000000−1+i3−1+i31−i31−i31−i3−1+i31−i321−i32−1+i32−1+i32002ζ14−2ζ14−1+i321−i323+i32−3−i323+i32−3−i320ζ14−ζ20−ζ14+ζ20−ζ14−ζ20ζ14+ζ20−ζ14−2ζ22ζ14+2ζ22−ζ14ζ14ζ4+ζ20+ζ22−ζ4−ζ20−ζ22−ζ4−ζ14−ζ22ζ4+ζ14+ζ22ζ4+ζ20−ζ22−ζ4−ζ20+ζ22−ζ4+ζ14+ζ22ζ4−ζ14−ζ2200000000
χ11822-2-2-22-1-111002i−2i1-1−i3i3−i3i30−1−i1+i−1+i1−i3−3−iiζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ2200000000−1−i3−1−i31+i31+i31+i3−1−i31+i321+i32−1−i32−1−i32002ζ22−2ζ22−1−i321+i32−3+i323−i32−3+i323−i320ζ4−ζ22−ζ4+ζ22ζ4+ζ22−ζ4−ζ222ζ14+ζ22−2ζ14−ζ22−ζ22ζ22ζ14+ζ20+ζ22−ζ14−ζ20−ζ22−ζ4−ζ14−ζ20ζ4+ζ14+ζ20−ζ14+ζ20−ζ22ζ14−ζ20+ζ22−ζ4+ζ14−ζ20ζ4−ζ14+ζ2000000000−1+i3−1+i31−i31−i31−i3−1+i31−i321−i32−1+i32−1+i32002ζ14−2ζ14−1+i321−i323+i32−3−i323+i32−3−i320−ζ14+ζ20ζ14−ζ20ζ14+ζ20−ζ14−ζ20−ζ14−2ζ22ζ14+2ζ22−ζ14ζ14−ζ4−ζ20−ζ22ζ4+ζ20+ζ22ζ4+ζ14+ζ22−ζ4−ζ14−ζ22−ζ4−ζ20+ζ22ζ4+ζ20−ζ22ζ4−ζ14−ζ22−ζ4+ζ14+ζ2200000000
χ11922-2-2-22-1-111002i−2i1-1i3−i3i3−i301+i−1−i1−i−1+i−33−ii−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ1400000000−1−i3−1−i31+i31+i31+i3−1−i31+i321+i32−1−i32−1−i32002ζ22−2ζ22−1−i321+i323−i32−3+i323−i32−3+i320−ζ4+ζ22ζ4−ζ22−ζ4−ζ22ζ4+ζ22−2ζ14−ζ222ζ14+ζ22−ζ22ζ22ζ4+ζ14+ζ20−ζ4−ζ14−ζ20−ζ14−ζ20−ζ22ζ14+ζ20+ζ22ζ4−ζ14+ζ20−ζ4+ζ14−ζ20ζ14−ζ20+ζ22−ζ14+ζ20−ζ2200000000−1+i3−1+i31−i31−i31−i3−1+i31−i321−i32−1+i32−1+i32002ζ14−2ζ14−1+i321−i32−3−i323+i32−3−i323+i320ζ14−ζ20−ζ14+ζ20−ζ14−ζ20ζ14+ζ20ζ14+2ζ22−ζ14−2ζ22−ζ14ζ14−ζ4−ζ14−ζ22ζ4+ζ14+ζ22ζ4+ζ20+ζ22−ζ4−ζ20−ζ22−ζ4+ζ14+ζ22ζ4−ζ14−ζ22ζ4+ζ20−ζ22−ζ4−ζ20+ζ2200000000
χ12022-2-2-22-1-111002i−2i1-1i3−i3i3−i30−1−i1+i−1+i1−i−33−iiζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ14ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ1400000000−1−i3−1−i31+i31+i31+i3−1−i31+i321+i32−1−i32−1−i32002ζ22−2ζ22−1−i321+i323−i32−3+i323−i32−3+i320ζ4−ζ22−ζ4+ζ22ζ4+ζ22−ζ4−ζ22−2ζ14−ζ222ζ14+ζ22−ζ22ζ22−ζ4−ζ14−ζ20ζ4+ζ14+ζ20ζ14+ζ20+ζ22−ζ14−ζ20−ζ22−ζ4+ζ14−ζ20ζ4−ζ14+ζ20−ζ14+ζ20−ζ22ζ14−ζ20+ζ2200000000−1+i3−1+i31−i31−i31−i3−1+i31−i321−i32−1+i32−1+i32002ζ14−2ζ14−1+i321−i32−3−i323+i32−3−i323+i320−ζ14+ζ20ζ14−ζ20ζ14+ζ20−ζ14−ζ20ζ14+2ζ22−ζ14−2ζ22−ζ14ζ14ζ4+ζ14+ζ22−ζ4−ζ14−ζ22−ζ4−ζ20−ζ22ζ4+ζ20+ζ22ζ4−ζ14−ζ22−ζ4+ζ14+ζ22−ζ4−ζ20+ζ22ζ4+ζ20−ζ2200000000
χ12122-2-2-22-1-11100−2i2i1-1−i3i3−i3i301−i−1+i1+i−1−i−33i−i−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ2200000000−1−i3−1−i31+i31+i31+i3−1−i31+i321+i32−1−i32−1−i3200−2ζ222ζ22−1−i321+i32−3+i323−i32−3+i323−i320−ζ4−ζ22ζ4+ζ22−ζ4+ζ22ζ4−ζ22−2ζ14−ζ222ζ14+ζ22ζ22−ζ22ζ14−ζ20+ζ22−ζ14+ζ20−ζ22ζ4−ζ14+ζ20−ζ4+ζ14−ζ20−ζ14−ζ20−ζ22ζ14+ζ20+ζ22ζ4+ζ14+ζ20−ζ4−ζ14−ζ2000000000−1+i3−1+i31−i31−i31−i3−1+i31−i321−i32−1+i32−1+i3200−2ζ142ζ14−1+i321−i323+i32−3−i323+i32−3−i320−ζ14−ζ20ζ14+ζ20ζ14−ζ20−ζ14+ζ20ζ14+2ζ22−ζ14−2ζ22ζ14−ζ14ζ4+ζ20−ζ22−ζ4−ζ20+ζ22−ζ4+ζ14+ζ22ζ4−ζ14−ζ22ζ4+ζ20+ζ22−ζ4−ζ20−ζ22−ζ4−ζ14−ζ22ζ4+ζ14+ζ2200000000
χ12222-2-2-22-1-11100−2i2i1-1−i3i3−i3i30−1+i1−i−1−i1+i−33i−iζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ2200000000−1−i3−1−i31+i31+i31+i3−1−i31+i321+i32−1−i32−1−i3200−2ζ222ζ22−1−i321+i32−3+i323−i32−3+i323−i320ζ4+ζ22−ζ4−ζ22ζ4−ζ22−ζ4+ζ22−2ζ14−ζ222ζ14+ζ22ζ22−ζ22−ζ14+ζ20−ζ22ζ14−ζ20+ζ22−ζ4+ζ14−ζ20ζ4−ζ14+ζ20ζ14+ζ20+ζ22−ζ14−ζ20−ζ22−ζ4−ζ14−ζ20ζ4+ζ14+ζ2000000000−1+i3−1+i31−i31−i31−i3−1+i31−i321−i32−1+i32−1+i3200−2ζ142ζ14−1+i321−i323+i32−3−i323+i32−3−i320ζ14+ζ20−ζ14−ζ20−ζ14+ζ20ζ14−ζ20ζ14+2ζ22−ζ14−2ζ22ζ14−ζ14−ζ4−ζ20+ζ22ζ4+ζ20−ζ22ζ4−ζ14−ζ22−ζ4+ζ14+ζ22−ζ4−ζ20−ζ22ζ4+ζ20+ζ22ζ4+ζ14+ζ22−ζ4−ζ14−ζ2200000000
χ12322-2-2-22-1-11100−2i2i1-1i3−i3i3−i301−i−1+i1+i−1−i3−3i−i−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ1400000000−1−i3−1−i31+i31+i31+i3−1−i31+i321+i32−1−i32−1−i3200−2ζ222ζ22−1−i321+i323−i32−3+i323−i32−3+i320−ζ4−ζ22ζ4+ζ22−ζ4+ζ22ζ4−ζ222ζ14+ζ22−2ζ14−ζ22ζ22−ζ22ζ4−ζ14+ζ20−ζ4+ζ14−ζ20ζ14−ζ20+ζ22−ζ14+ζ20−ζ22ζ4+ζ14+ζ20−ζ4−ζ14−ζ20−ζ14−ζ20−ζ22ζ14+ζ20+ζ2200000000−1+i3−1+i31−i31−i31−i3−1+i31−i321−i32−1+i32−1+i3200−2ζ142ζ14−1+i321−i32−3−i323+i32−3−i323+i320−ζ14−ζ20ζ14+ζ20ζ14−ζ20−ζ14+ζ20−ζ14−2ζ22ζ14+2ζ22ζ14−ζ14−ζ4+ζ14+ζ22ζ4−ζ14−ζ22ζ4+ζ20−ζ22−ζ4−ζ20+ζ22−ζ4−ζ14−ζ22ζ4+ζ14+ζ22ζ4+ζ20+ζ22−ζ4−ζ20−ζ2200000000
χ12422-2-2-22-1-11100−2i2i1-1i3−i3i3−i30−1+i1−i−1−i1+i3−3i−iζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ1400000000−1−i3−1−i31+i31+i31+i3−1−i31+i321+i32−1−i32−1−i3200−2ζ222ζ22−1−i321+i323−i32−3+i323−i32−3+i320ζ4+ζ22−ζ4−ζ22ζ4−ζ22−ζ4+ζ222ζ14+ζ22−2ζ14−ζ22ζ22−ζ22−ζ4+ζ14−ζ20ζ4−ζ14+ζ20−ζ14+ζ20−ζ22ζ14−ζ20+ζ22−ζ4−ζ14−ζ20ζ4+ζ14+ζ20ζ14+ζ20+ζ22−ζ14−ζ20−ζ2200000000−1+i3−1+i31−i31−i31−i3−1+i31−i321−i32−1+i32−1+i3200−2ζ142ζ14−1+i321−i32−3−i323+i32−3−i323+i320ζ14+ζ20−ζ14−ζ20−ζ14+ζ20ζ14−ζ20−ζ14−2ζ22ζ14+2ζ22ζ14−ζ14ζ4−ζ14−ζ22−ζ4+ζ14+ζ22−ζ4−ζ20+ζ22ζ4+ζ20−ζ22ζ4+ζ14+ζ22−ζ4−ζ14−ζ22−ζ4−ζ20−ζ22ζ4+ζ20+ζ2200000000
χ1254444-4-444440000-4-400000000000000000000000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i3−2−2i3−2−2i3−2−2i3−2−2i300002+2i32+2i300000000000000000000000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i3−2+2i3−2+2i3−2+2i3−2+2i300002−2i32−2i300000000000000000000000000000
χ1264444-4-4-2-2-2-2000022−2i32i32i3−2i30000000000000000000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i31+i31+i31+i31+i30000−1−i3−1−i3−3+i33−i33−i3−3+i30000000000000000000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i31−i31−i31−i31−i30000−1+i3−1+i33+i3−3−i3−3−i33+i30000000000000000000000000
χ1274444-4-4-2-2-2-20000222i3−2i3−2i32i30000000000000000000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i31+i31+i31+i31+i30000−1−i3−1−i33−i3−3+i3−3+i33−i30000000000000000000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i31−i31−i31−i31−i30000−1+i3−1+i3−3−i33+i33+i3−3−i30000000000000000000000000
χ12844-4-44-4-2-2224-400-22-2-2220000000000000000000000000−2−2i3−2−2i32+2i32+2i3−2−2i32+2i31+i31+i3−1−i3−1−i3−2−2i32+2i3001+i3−1−i31+i31+i3−1−i3−1−i30000000000000000000000000−2+2i3−2+2i32−2i32−2i3−2+2i32−2i31−i31−i3−1+i3−1+i3−2+2i32−2i3001−i3−1+i31−i31−i3−1+i3−1+i30000000000000000000000000
χ12944-4-44-4-2-222-4400-2222-2-20000000000000000000000000−2−2i3−2−2i32+2i32+2i3−2−2i32+2i31+i31+i3−1−i3−1−i32+2i3−2−2i3001+i3−1−i3−1−i3−1−i31+i31+i30000000000000000000000000−2+2i3−2+2i32−2i32−2i3−2+2i32−2i31−i31−i3−1+i3−1+i32−2i3−2+2i3001−i3−1+i3−1+i3−1+i31−i31−i30000000000000000000000000
χ1304-44-4004-44-40000000000000000000000000002i−2i000000−2−2i32+2i3−2−2i32+2i300−2−2i32+2i3−2−2i32+2i30000000000000000000000000002ζ22−2ζ22000000−2+2i32−2i3−2+2i32−2i300−2+2i32−2i3−2+2i32−2i30000000000000000000000000002ζ14−2ζ14000000
χ1314-44-4004-44-4000000000000000000000000000−2i2i000000−2−2i32+2i3−2−2i32+2i300−2−2i32+2i3−2−2i32+2i3000000000000000000000000000−2ζ222ζ22000000−2+2i32−2i3−2+2i32−2i300−2+2i32−2i3−2+2i32−2i3000000000000000000000000000−2ζ142ζ14000000
χ1324-4-44004-4-44000000000000000000000000000002-20000−2−2i32+2i32+2i3−2−2i300−2−2i32+2i32+2i3−2−2i300000000000000000000000000000−1−i31+i30000−2+2i32−2i32−2i3−2+2i300−2+2i32−2i32−2i3−2+2i300000000000000000000000000000−1+i31−i30000
χ1334-4-44004-4-4400000000000000000000000000000-220000−2−2i32+2i32+2i3−2−2i300−2−2i32+2i32+2i3−2−2i3000000000000000000000000000001+i3−1−i30000−2+2i32−2i32−2i3−2+2i300−2+2i32−2i32−2i3−2+2i3000000000000000000000000000001−i3−1+i30000
χ1348-88-800-44-4400000000000000000000000000000000000−4−4i34+4i3−4−4i34+4i3002+2i3−2−2i32+2i3−2−2i300000000000000000000000000000000000−4+4i34−4i3−4+4i34−4i3002−2i3−2+2i32−2i3−2+2i300000000000000000000000000000000000
χ1358-8-8800-444-400000000000000000000000000000000000−4−4i34+4i34+4i3−4−4i3002+2i3−2−2i3−2−2i32+2i300000000000000000000000000000000000−4+4i34−4i34−4i3−4+4i3002−2i3−2+2i3−2+2i32−2i300000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.