Finite Group Databasebeta

← Group #13161770

Character table — Group #13161770

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11112222222222222244444444444444444444444444444444888888888888888888888888888888888899991818181818181818181818181818363636363636363636363636363636363636363672727272
order124423334666121212121212333336666666688121212121212121212121212122424242466666121212121224242424242424242424242424242424242424242424242422442444444444661212224468812121212121212121224242424661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-1-1-1-1-1-1-11111-1-1-1-1-11-11
χ51111111111111111111111111111111-1-11111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111-1-11111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111111-1-11111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-111-11111-1-1-1-11111-11-11
χ81111111111111111111111111111111-1-11111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-1-111-1-1-1-1-1111111111-11-1
χ911-1-1-11111111-1-1-1-1-1-111111-111111-1-1i−i111-1-1-1-1-1-1-1-1-1-1ii−i−i-1-1-1-1-111111ii−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−i11-1-1-11ii−i−iii−i−i11-1-111-1-1-1i−i1ii−i−iii−i−iii−i−i11-1-1
χ1011-1-1-11111111-1-1-1-1-1-111111-111111-1-1i−i111-1-1-1-1-1-1-1-1-1-1ii−i−i-1-1-1-1-111111ii−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−i11-1-1-11−i−iii−i−iii11-1-1-1-111-1i−i1−i−iii−i−iiiii−i−i-1-111
χ1111-1-1-11111111-1-1-1-1-1-111111-111111-1-1i−i111-1-1-1-1-1-1-1-1-1-1ii−i−i-1-1-1-1-111111ii−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−i-1-1111-1ii−i−i−i−iii-1-1111-1-111−ii-1ii−i−i−i−iii−i−iii1-1-11
χ1211-1-1-11111111-1-1-1-1-1-111111-111111-1-1i−i111-1-1-1-1-1-1-1-1-1-1ii−i−i-1-1-1-1-111111ii−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−i-1-1111-1−i−iiiii−i−i-1-111-111-11−ii-1−i−iiiii−i−i−i−iii-111-1
χ1311-1-1-11111111-1-1-1-1-1-111111-111111-1-1−ii111-1-1-1-1-1-1-1-1-1-1−i−iii-1-1-1-1-111111−i−iii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii11-1-1-11ii−i−iii−i−i11-1-1-1-111-1−ii1ii−i−iii−i−i−i−iii-1-111
χ1411-1-1-11111111-1-1-1-1-1-111111-111111-1-1−ii111-1-1-1-1-1-1-1-1-1-1−i−iii-1-1-1-1-111111−i−iii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii11-1-1-11−i−iii−i−iii11-1-111-1-1-1−ii1−i−iii−i−iii−i−iii11-1-1
χ1511-1-1-11111111-1-1-1-1-1-111111-111111-1-1−ii111-1-1-1-1-1-1-1-1-1-1−i−iii-1-1-1-1-111111−i−iii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii-1-1111-1ii−i−i−i−iii-1-111-111-11i−i-1ii−i−i−i−iiiii−i−i-111-1
χ1611-1-1-11111111-1-1-1-1-1-111111-111111-1-1−ii111-1-1-1-1-1-1-1-1-1-1−i−iii-1-1-1-1-111111−i−iii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii-1-1111-1−i−iiiii−i−i-1-1111-1-111i−i-1−i−iiiii−i−iii−i−i1-1-11
χ172222222-1222-12222-1-12-1-1-1-1-12-1-1-1-1222222-122-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-12-1-1-1-1222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122222200000000-1-1-1-10000-122-100000000-1-1-1-10000
χ182222222-1222-12222-1-12-1-1-1-1-12-1-1-1-1222222-122-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-12-1-1-1-1222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-2-2-200000000111100001-2-210000000011110000
χ192222222-1222-12222-1-12-1-1-1-1-12-1-1-1-122-2-222-122-1-1-1-1-1-1-1-111112-1-1-1-12-1-1-1-1-2-2-2-2-2-211111111-2-21111111122222200000000-1-1-1-10000-1-2-2-10000000011110000
χ202222222-1222-12222-1-12-1-1-1-1-12-1-1-1-122-2-222-122-1-1-1-1-1-1-1-111112-1-1-1-12-1-1-1-1-2-2-2-2-2-211111111-2-211111111-2-2-2-2-2-20000000011110000122100000000-1-1-1-10000
χ21222222-1222-1222-1-122-12-1-1-12-12-1-1-12-1222-12-1-122-1-1-1-1-1-12222-12-1-1-1-12-1-1-12-12-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1000000000022220000020200000000-1-1-1-100000-10-1
χ22222222-1222-1222-1-122-12-1-1-12-12-1-1-12-1222-12-1-122-1-1-1-1-1-12222-12-1-1-1-12-1-1-12-12-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-10000000000-2-2-2-200000-20-200000000111100000101
χ23222222-1222-1222-1-122-12-1-1-12-12-1-1-12-1-2-22-12-1-122-1-1-1-1-1-1-2-2-2-2-12-1-1-1-12-1-1-1-21-2111-2-211111111-2-21111110000000000222200000-20-200000000-1-1-1-100000101
χ24222222-1222-1222-1-122-12-1-1-12-12-1-1-12-1-2-22-12-1-122-1-1-1-1-1-1-2-2-2-2-12-1-1-1-12-1-1-1-21-2111-2-211111111-2-21111110000000000-2-2-2-20000020200000000111100000-10-1
χ2522222-1222-122-1-12222-1-12-1-12-1-12-1-1-1222-122-1-1-1-122-1-1-1-12222-1-12-1-1-1-12-1-1-12-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-100000022220000000020200000-1-1-1-100000000-10-10
χ2622222-1222-122-1-12222-1-12-1-12-1-12-1-1-1222-122-1-1-1-122-1-1-1-12222-1-12-1-1-1-12-1-1-12-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1000000-2-2-2-200000000-20-2000001111000000001010
χ2722222-1222-122-1-12222-1-12-1-12-1-12-1-1-12-2-2-122-1-1-1-122-1-1-1-1-2-2-2-2-1-12-1-1-1-12-1-11-21-21111-2-211111111-2-21111000000222200000000-20-200000-1-1-1-1000000001010
χ2822222-1222-122-1-12222-1-12-1-12-1-12-1-1-12-2-2-122-1-1-1-122-1-1-1-1-2-2-2-2-1-12-1-1-1-12-1-11-21-21111-2-211111111-2-21111000000-2-2-2-20000000020200000111100000000-10-10
χ292222-2222-222222222222222-222222-2-200-2-2-222222222220000-2-2-2-2-2-2-2-2-2-20000000000000000000000002222-2-20000000022220000-200-20000000000000000
χ302222-2222-222222222222222-222222-2-200-2-2-222222222220000-2-2-2-2-2-2-2-2-2-2000000000000000000000000-2-2-2-22200000000-2-2-2-2000020020000000000000000
χ312222-222-1-222-12222-1-12-1-1-1-112-1-1-1-1-2-200-2-2122-1-1-1-1-1-1-1-1−i3i3−i3i3-21111-21111000000−i3i3−i3i3−i3−i3i3i300−i3i3−i3i3−i3−i3i3i32222-2-200000000-1-1-1-10000100100000000−i3i3−i3i30000
χ322222-222-1-222-12222-1-12-1-1-1-112-1-1-1-1-2-200-2-2122-1-1-1-1-1-1-1-1−i3i3−i3i3-21111-21111000000−i3i3−i3i3−i3−i3i3i300−i3i3−i3i3−i3−i3i3i3-2-2-2-2220000000011110000-100-100000000i3−i3i3−i30000
χ332222-222-1-222-12222-1-12-1-1-1-112-1-1-1-1-2-200-2-2122-1-1-1-1-1-1-1-1i3−i3i3−i3-21111-21111000000i3−i3i3−i3i3i3−i3−i300i3−i3i3−i3i3i3−i3−i32222-2-200000000-1-1-1-10000100100000000i3−i3i3−i30000
χ342222-222-1-222-12222-1-12-1-1-1-112-1-1-1-1-2-200-2-2122-1-1-1-1-1-1-1-1i3−i3i3−i3-21111-21111000000i3−i3i3−i3i3i3−i3−i300i3−i3i3−i3i3i3−i3−i3-2-2-2-2220000000011110000-100-100000000−i3i3−i3i30000
χ3522-2-22222-2222-2-2-2-2-2-2222222222222200-2-2-2-2-2-2-2-2-2-2-2-2-2000022222-2-2-2-2-200000000000000000000000022-2-22-20000000022-2-20000200-20000000000000000
χ3622-2-22222-2222-2-2-2-2-2-2222222222222200-2-2-2-2-2-2-2-2-2-2-2-2-2000022222-2-2-2-2-2000000000000000000000000-2-222-2200000000-2-2220000-20020000000000000000
χ3722-2-2222-1-222-1-2-2-2-2112-1-1-1-1-12-1-1-1-12200-2-21-2-2111111113−3−332-1-1-1-1-211110000003−33−333−3−300−33−33−3−33322-2-22-200000000-1-1110000-1001000000003−3−330000
χ3822-2-2222-1-222-1-2-2-2-2112-1-1-1-1-12-1-1-1-12200-2-21-2-2111111113−3−332-1-1-1-1-211110000003−33−333−3−300−33−33−3−333-2-222-220000000011-1-10000100-100000000−333−30000
χ3922-2-2222-1-222-1-2-2-2-2112-1-1-1-1-12-1-1-1-12200-2-21-2-211111111−333−32-1-1-1-1-21111000000−33−33−3−333003−33−333−3−322-2-22-200000000-1-1110000-100100000000−333−30000
χ4022-2-2222-1-222-1-2-2-2-2112-1-1-1-1-12-1-1-1-12200-2-21-2-211111111−333−32-1-1-1-1-21111000000−33−33−3−333003−33−333−3−3-2-222-220000000011-1-10000100-1000000003−3−330000
χ4122-2-2-222-1222-1-2-2-2-2112-1-1-1-112-1-1-1-1-2-22i−2i22-1-2-211111111−i−iii-211112-1-1-1-12i2i−2i−2i2i2i−i−i−i−i−i−i−i−i−2i−2iiiiiiiii22-2-2-2200000000-1-111000012i−2i-100000000−i−iii0000
χ4222-2-2-222-1222-1-2-2-2-2112-1-1-1-112-1-1-1-1-2-22i−2i22-1-2-211111111−i−iii-211112-1-1-1-12i2i−2i−2i2i2i−i−i−i−i−i−i−i−i−2i−2iiiiiiiii-2-2222-20000000011-1-10000-1−2i2i100000000ii−i−i0000
χ4322-2-2-222-1222-1-2-2-2-2112-1-1-1-112-1-1-1-1-2-2−2i2i22-1-2-211111111ii−i−i-211112-1-1-1-1−2i−2i2i2i−2i−2iiiiiiiii2i2i−i−i−i−i−i−i−i−i22-2-2-2200000000-1-11100001−2i2i-100000000ii−i−i0000
χ4422-2-2-222-1222-1-2-2-2-2112-1-1-1-112-1-1-1-1-2-2−2i2i22-1-2-211111111ii−i−i-211112-1-1-1-1−2i−2i2i2i−2i−2iiiiiiiii2i2i−i−i−i−i−i−i−i−i-2-2222-20000000011-1-10000-12i−2i100000000−i−iii0000
χ4522-2-2-22-1222-12-2-211-2-2-12-1-1-1-2-12-1-1-1-212i−2i2-1211-2-21111112i2i−2i−2i1-2111-12-1-1-12i−i−2ii−i−i2i2i−i−i−i−i−i−iii−2i−2iiiiiii00000000002i2i−2i−2i0000020-200000000−i−iii00000-101
χ4622-2-2-22-1222-12-2-211-2-2-12-1-1-1-2-12-1-1-1-212i−2i2-1211-2-21111112i2i−2i−2i1-2111-12-1-1-12i−i−2ii−i−i2i2i−i−i−i−i−i−iii−2i−2iiiiiii0000000000−2i−2i2i2i00000-20200000000ii−i−i0000010-1
χ4722-2-2-22-1222-12-2-211-2-2-12-1-1-1-2-12-1-1-1-21−2i2i2-1211-2-2111111−2i−2i2i2i1-2111-12-1-1-1−2ii2i−iii−2i−2iiiiiii−i−i2i2i−i−i−i−i−i−i00000000002i2i−2i−2i00000-20200000000−i−iii0000010-1
χ4822-2-2-22-1222-12-2-211-2-2-12-1-1-1-2-12-1-1-1-21−2i2i2-1211-2-2111111−2i−2i2i2i1-2111-12-1-1-1−2ii2i−iii−2i−2iiiiiii−i−i2i2i−i−i−i−i−i−i0000000000−2i−2i2i2i0000020-200000000ii−i−i00000-101
χ4922-2-2-2-1222-12211-2-2-2-2-1-12-1-1-2-1-12-1-11-22i−2i-1221111-2-211112i2i−2i−2i11-211-1-12-1-1−i2ii−2i−i−i−i−i2i2i−i−i−i−iiiii−2i−2iiiii0000002i2i−2i−2i0000000020-200000−i−iii00000000-1010
χ5022-2-2-2-1222-12211-2-2-2-2-1-12-1-1-2-1-12-1-11-22i−2i-1221111-2-211112i2i−2i−2i11-211-1-12-1-1−i2ii−2i−i−i−i−i2i2i−i−i−i−iiiii−2i−2iiiii000000−2i−2i2i2i00000000-20200000ii−i−i0000000010-10
χ5122-2-2-2-1222-12211-2-2-2-2-1-12-1-1-2-1-12-1-11-2−2i2i-1221111-2-21111−2i−2i2i2i11-211-1-12-1-1i−2i−i2iiiii−2i−2iiiii−i−i−i−i2i2i−i−i−i−i0000002i2i−2i−2i00000000-20200000−i−iii0000000010-10
χ5222-2-2-2-1222-12211-2-2-2-2-1-12-1-1-2-1-12-1-11-2−2i2i-1221111-2-21111−2i−2i2i2i11-211-1-12-1-1i−2i−i2iiiii−2i−2iiiii−i−i−i−i2i2i−i−i−i−i000000−2i−2i2i2i0000000020-200000ii−i−i00000000-1010
χ532-22i−2i02220-2-2-22i−2i2i−2i2i−2i222220-2-2-2-2-200000002i−2i2i−2i2i−2i2i2i−2i−2i000000000000000000000000000000000000002-22i−2i001+i−1−i1−i−1+i1+i−1−i1−i−1+i2-22i−2i000000001+i−1−i1−i−1+i1+i−1−i1−i−1+i00000000
χ542-22i−2i02220-2-2-22i−2i2i−2i2i−2i222220-2-2-2-2-200000002i−2i2i−2i2i−2i2i2i−2i−2i000000000000000000000000000000000000002-22i−2i00−1−i1+i−1+i1−i−1−i1+i−1+i1−i2-22i−2i00000000−1−i1+i−1+i1−i−1−i1+i−1+i1−i00000000
χ552-22i−2i02220-2-2-22i−2i2i−2i2i−2i222220-2-2-2-2-200000002i−2i2i−2i2i−2i2i2i−2i−2i00000000000000000000000000000000000000-22−2i2i001+i−1−i1−i−1+i−1−i1+i−1+i1−i-22−2i2i000000001+i−1−i1−i−1+i−1−i1+i−1+i1−i00000000
χ562-22i−2i02220-2-2-22i−2i2i−2i2i−2i222220-2-2-2-2-200000002i−2i2i−2i2i−2i2i2i−2i−2i00000000000000000000000000000000000000-22−2i2i00−1−i1+i−1+i1−i1+i−1−i1−i−1+i-22−2i2i00000000−1−i1+i−1+i1−i1+i−1−i1−i−1+i00000000
χ572-2−2i2i02220-2-2-2−2i2i−2i2i−2i2i222220-2-2-2-2-20000000−2i2i−2i2i−2i2i−2i−2i2i2i000000000000000000000000000000000000002-2−2i2i001−i−1+i1+i−1−i1−i−1+i1+i−1−i2-2−2i2i000000001−i−1+i1+i−1−i1−i−1+i1+i−1−i00000000
χ582-2−2i2i02220-2-2-2−2i2i−2i2i−2i2i222220-2-2-2-2-20000000−2i2i−2i2i−2i2i−2i−2i2i2i000000000000000000000000000000000000002-2−2i2i00−1+i1−i−1−i1+i−1+i1−i−1−i1+i2-2−2i2i00000000−1+i1−i−1−i1+i−1+i1−i−1−i1+i00000000
χ592-2−2i2i02220-2-2-2−2i2i−2i2i−2i2i222220-2-2-2-2-20000000−2i2i−2i2i−2i2i−2i−2i2i2i00000000000000000000000000000000000000-222i−2i001−i−1+i1+i−1−i−1+i1−i−1−i1+i-222i−2i000000001−i−1+i1+i−1−i−1+i1−i−1−i1+i00000000
χ602-2−2i2i02220-2-2-2−2i2i−2i2i−2i2i222220-2-2-2-2-20000000−2i2i−2i2i−2i2i−2i−2i2i2i00000000000000000000000000000000000000-222i−2i00−1+i1−i−1−i1+i1−i−1+i1+i−1−i-222i−2i00000000−1+i1−i−1−i1+i1−i−1+i1+i−1−i00000000
χ61444444-2-244-2-244-2-2-2-2-2-2111-2-2-21114-2444-2-2-2-2-2-2111111-2-2-2-2-2-2111-2-21114-24-2-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000000000000000
χ62444444-2-244-2-244-2-2-2-2-2-2111-2-2-21114-2-4-44-2-2-2-2-2-21111112222-2-2111-2-2111-42-422222-1-1-1-1-1-12222-1-1-1-1-1-1000000000000000000000000000000000000000000
χ6344444-24-24-24-2-2-244-2-2-21-211-2-21-211-2444-24-2-2-211-2-21111-2-2-2-2-21-211-21-211-24-24-2-211-2-21111-2-211-2-21111000000000000000000000000000000000000000000
χ6444444-24-24-24-2-2-244-2-2-21-211-2-21-211-24-4-4-24-2-2-211-2-211112222-21-211-21-2112-42-422-1-122-1-1-1-122-1-122-1-1-1-1000000000000000000000000000000000000000000
χ6544444-2-244-2-24-2-2-2-2441-2-21141-2-211-2-244-2-2411-2-2-2-2111144441-2-2111-2-211-2-2-2-211-2-2-2-2111111-2-2-2-21111000000000000000000000000000000000000000000
χ6644444-2-244-2-24-2-2-2-2441-2-21141-2-211-2-2-4-4-2-2411-2-2-2-21111-4-4-4-41-2-2111-2-2112222-1-12222-1-1-1-1-1-12222-1-1-1-1000000000000000000000000000000000000000000
χ6744444-2-2-24-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32-2111−1−3i32−1+3i32-2-244-2-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32-2-2-2-2111−1−3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000000000000000000
χ6844444-2-2-24-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32-2111−1−3i32−1+3i32-2-2-4-4-2-2-2111111−1−3i32−1+3i32−1−3i32−1+3i322222111−1−3i32−1+3i32111−1−3i32−1+3i322222-1-1-1-1-1-11+3i321−3i321+3i321−3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000000000000000000000
χ6944444-2-2-24-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32-2111−1+3i32−1−3i32-2-244-2-2-2111111−1+3i32−1−3i32−1+3i32−1−3i32-2-2-2-2111−1+3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2111111−1+3i32−1−3i32−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000000000000000000
χ7044444-2-2-24-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32-2111−1+3i32−1−3i32-2-2-4-4-2-2-2111111−1+3i32−1−3i32−1+3i32−1−3i322222111−1+3i32−1−3i32111−1+3i32−1−3i322222-1-1-1-1-1-11−3i321+3i321−3i321+3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32000000000000000000000000000000000000000000
χ714444-44-24-44-2444-2-244-24-2-2-2-4-24-2-2-2-4200-42-4-2-244-2-2-2-2-2-200002-42222-4222000000000000000000000000000000000000000000000000000000000000000000
χ724444-44-2-2-44-2-244-2-2-2-2-2-21112-2-2111-4200-422-2-2-2-2111111−2i32i3−2i32i322-1-1-122-1-1-1000000−2i32i3i3−i3i3i3−i3−i300−2i32i3i3−i3i3i3−i3−i3000000000000000000000000000000000000000000
χ734444-44-2-2-44-2-244-2-2-2-2-2-21112-2-2111-4200-422-2-2-2-21111112i3−2i32i3−2i322-1-1-122-1-1-10000002i3−2i3−i3i3−i3−i3i3i3002i3−2i3−i3i3−i3−i3i3i3000000000000000000000000000000000000000000
χ744444-4-244-4-244-2-24444-2-24-2-2-4-2-24-2-22-4002-4-4-2-2-2-244-2-2-2-2000022-42222-422000000000000000000000000000000000000000000000000000000000000000000
χ754444-4-24-2-4-24-2-2-244-2-2-21-2112-21-2112-4002-42-2-211-2-21111−2i32i3−2i32i32-12-1-12-12-1-1000000i3−i3−2i32i3i3i3−i3−i300i3−i3−2i32i3i3i3−i3−i3000000000000000000000000000000000000000000
χ764444-4-24-2-4-24-2-2-244-2-2-21-2112-21-2112-4002-42-2-211-2-211112i3−2i32i3−2i32-12-1-12-12-1-1000000−i3i32i3−2i3−i3−i3i3i300−i3i32i3−2i3−i3−i3i3i3000000000000000000000000000000000000000000
χ774444-4-2-24-4-2-24-2-2-2-2441-2-211-41-2-211220022-411-2-2-2-211110000-122-1-1-122-1-100003-300003-3-333-300003-3-33000000000000000000000000000000000000000000
χ784444-4-2-24-4-2-24-2-2-2-2441-2-211-41-2-211220022-411-2-2-2-211110000-122-1-1-122-1-10000-330000-333-3-330000-333-3000000000000000000000000000000000000000000
χ794444-4-2-2-2-4-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i322111−1−3i32−1+3i322200222111111−1−3i32−1+3i32−1−3i32−1+3i32−2i32i3−2i32i3-1-1-11+3i321−3i32-1-1-11+3i321−3i3200003-3i3−i3i3−i3−3−i323−i323+i32−3+i323-3i3−i3i3−i3−3−i323−i323+i32−3+i32000000000000000000000000000000000000000000
χ804444-4-2-2-2-4-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i322111−1−3i32−1+3i322200222111111−1−3i32−1+3i32−1−3i32−1+3i322i3−2i32i3−2i3-1-1-11+3i321−3i32-1-1-11+3i321−3i320000-33−i3i3−i3i33+i32−3+i32−3−i323−i32-33−i3i3−i3i33+i32−3+i32−3−i323−i32000000000000000000000000000000000000000000
χ814444-4-2-2-2-4-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i322111−1+3i32−1−3i322200222111111−1+3i32−1−3i32−1+3i32−1−3i32−2i32i3−2i32i3-1-1-11−3i321+3i32-1-1-11−3i321+3i320000-33i3−i3i3−i33−i32−3−i32−3+i323+i32-33i3−i3i3−i33−i32−3−i32−3+i323+i32000000000000000000000000000000000000000000
χ824444-4-2-2-2-4-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i322111−1+3i32−1−3i322200222111111−1+3i32−1−3i32−1+3i32−1−3i322i3−2i32i3−2i3-1-1-11−3i321+3i32-1-1-11−3i321+3i3200003-3−i3i3−i3i3−3+i323+i323−i32−3−i323-3−i3i3−i3i3−3+i323+i323−i32−3−i32000000000000000000000000000000000000000000
χ8344-4-444-24-44-24-4-422-4-4-24-2-2-24-24-2-2-24-200-42-422-4-42222220000-24-2-2-22-4222000000000000000000000000000000000000000000000000000000000000000000
χ8444-4-444-2-2-44-2-2-4-42222-2-2111-2-2-21114-200-4222222-1-1-1-1-1-123−23−2323-2-211122-1-1-100000023−23−33−3−33300−23233−333−3−3000000000000000000000000000000000000000000
χ8544-4-444-2-2-44-2-2-4-42222-2-2111-2-2-21114-200-4222222-1-1-1-1-1-1−232323−23-2-211122-1-1-1000000−23233−333−3−30023−23−33−3−333000000000000000000000000000000000000000000
χ8644-4-44-244-4-24422-4-4-4-4-2-24-2-24-2-24-2-2-24002-4-42222-4-422220000-2-24-2-222-422000000000000000000000000000000000000000000000000000000000000000000
χ8744-4-44-24-2-4-24-222-4-422-21-211-2-21-211-24002-4222-1-122-1-1-1-123−23−2323-21-2112-12-1-1000000−3323−23−3−333003−3−232333−3−3000000000000000000000000000000000000000000
χ8844-4-44-24-2-4-24-222-4-422-21-211-2-21-211-24002-4222-1-122-1-1-1-1−232323−23-21-2112-12-1-10000003−3−232333−3−300−3323−23−3−333000000000000000000000000000000000000000000
χ8944-4-44-2-24-4-2-242222-4-41-2-21141-2-211-2-20022-4-1-12222-1-1-1-100001-2-211-122-1-100003i−3i00003i−3i−3i3i−3i3i0000−3i3i3i−3i000000000000000000000000000000000000000000
χ9044-4-44-2-24-4-2-242222-4-41-2-21141-2-211-2-20022-4-1-12222-1-1-1-100001-2-211-122-1-10000−3i3i0000−3i3i3i−3i3i−3i00003i−3i−3i3i000000000000000000000000000000000000000000
χ9144-4-44-2-2-2-4-2-2-2222222111−1−3i32−1+3i32-2111−1−3i32−1+3i32-2-200222-1-1-1-1-1-11+3i321−3i321+3i321−3i3223−23−2323111−1−3i32−1+3i32-1-1-11+3i321−3i3200003i−3i−33−33ζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11−3i3i3−33−3−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11000000000000000000000000000000000000000000
χ9244-4-44-2-2-2-4-2-2-2222222111−1−3i32−1+3i32-2111−1−3i32−1+3i32-2-200222-1-1-1-1-1-11+3i321−3i321+3i321−3i32−232323−23111−1−3i32−1+3i32-1-1-11+3i321−3i320000−3i3i3−33−3−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ113i−3i−33−33ζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11000000000000000000000000000000000000000000
χ9344-4-44-2-2-2-4-2-2-2222222111−1+3i32−1−3i32-2111−1+3i32−1−3i32-2-200222-1-1-1-1-1-11−3i321+3i321−3i321+3i3223−23−2323111−1+3i32−1−3i32-1-1-11−3i321+3i320000−3i3i−33−33−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ113i−3i3−33−32ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11000000000000000000000000000000000000000000
χ9444-4-44-2-2-2-4-2-2-2222222111−1+3i32−1−3i32-2111−1+3i32−1−3i32-2-200222-1-1-1-1-1-11−3i321+3i321−3i321+3i32−232323−23111−1+3i32−1−3i32-1-1-11−3i321+3i3200003i−3i3−33−32ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11−3i3i−33−33−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ11000000000000000000000000000000000000000000
χ9544-4-4-44-2-244-2-2-4-42222-2-21112-2-2111-424i−4i4-2-22222-1-1-1-1-1-1−2i−2i2i2i22-1-1-1-2-21114i−2i−4i2i−2i−2i−2i−2iiiiiii2i2i2i2i−i−i−i−i−i−i000000000000000000000000000000000000000000
χ9644-4-4-44-2-244-2-2-4-42222-2-21112-2-2111-42−4i4i4-2-22222-1-1-1-1-1-12i2i−2i−2i22-1-1-1-2-2111−4i2i4i−2i2i2i2i2i−i−i−i−i−i−i−2i−2i−2i−2iiiiiii000000000000000000000000000000000000000000
χ9744-4-4-4-24-24-24-222-4-422-21-2112-21-2112-44i−4i-24-222-1-122-1-1-1-1−2i−2i2i2i2-12-1-1-21-211−2i4i2i−4i−2i−2iii−2i−2iiiii2i2i−i−i2i2i−i−i−i−i000000000000000000000000000000000000000000
χ9844-4-4-4-24-24-24-222-4-422-21-2112-21-2112-4−4i4i-24-222-1-122-1-1-1-12i2i−2i−2i2-12-1-1-21-2112i−4i−2i4i2i2i−i−i2i2i−i−i−i−i−2i−2iii−2i−2iiiii000000000000000000000000000000000000000000
χ9944-4-4-4-2-244-2-242222-4-41-2-211-41-2-211224i−4i-2-24-1-12222-1-1-1-14i4i−4i−4i-122-1-11-2-211−2i−2i2i2iii−2i−2i−2i−2iiiii−i−i2i2i2i2i−i−i−i−i000000000000000000000000000000000000000000
χ10044-4-4-4-2-244-2-242222-4-41-2-211-41-2-21122−4i4i-2-24-1-12222-1-1-1-1−4i−4i4i4i-122-1-11-2-2112i2i−2i−2i−i−i2i2i2i2i−i−i−i−iii−2i−2i−2i−2iiiii000000000000000000000000000000000000000000
χ10144-4-4-4-2-2-24-2-2-2222222111−1−3i32−1+3i322111−1−3i32−1+3i32224i−4i-2-2-2-1-1-1-1-1-11+3i321−3i321+3i321−3i32−2i−2i2i2i-1-1-11+3i321−3i32111−1−3i32−1+3i32−2i−2i2i2iiiiiii−ζ7+2ζ112ζ7−ζ11−ζ7+2ζ112ζ7−ζ11−i−i−i−i−i−iζ7−2ζ11−2ζ7+ζ11ζ7−2ζ11−2ζ7+ζ11000000000000000000000000000000000000000000
χ10244-4-4-4-2-2-24-2-2-2222222111−1−3i32−1+3i322111−1−3i32−1+3i3222−4i4i-2-2-2-1-1-1-1-1-11+3i321−3i321+3i321−3i322i2i−2i−2i-1-1-11+3i321−3i32111−1−3i32−1+3i322i2i−2i−2i−i−i−i−i−i−iζ7−2ζ11−2ζ7+ζ11ζ7−2ζ11−2ζ7+ζ11iiiiii−ζ7+2ζ112ζ7−ζ11−ζ7+2ζ112ζ7−ζ11000000000000000000000000000000000000000000
χ10344-4-4-4-2-2-24-2-2-2222222111−1+3i32−1−3i322111−1+3i32−1−3i32224i−4i-2-2-2-1-1-1-1-1-11−3i321+3i321−3i321+3i32−2i−2i2i2i-1-1-11−3i321+3i32111−1+3i32−1−3i32−2i−2i2i2iiiiiii2ζ7−ζ11−ζ7+2ζ112ζ7−ζ11−ζ7+2ζ11−i−i−i−i−i−i−2ζ7+ζ11ζ7−2ζ11−2ζ7+ζ11ζ7−2ζ11000000000000000000000000000000000000000000
χ10444-4-4-4-2-2-24-2-2-2222222111−1+3i32−1−3i322111−1+3i32−1−3i3222−4i4i-2-2-2-1-1-1-1-1-11−3i321+3i321−3i321+3i322i2i−2i−2i-1-1-11−3i321+3i32111−1+3i32−1−3i322i2i−2i−2i−i−i−i−i−i−i−2ζ7+ζ11ζ7−2ζ11−2ζ7+ζ11ζ7−2ζ11iiiiii2ζ7−ζ11−ζ7+2ζ112ζ7−ζ11−ζ7+2ζ11000000000000000000000000000000000000000000
χ1054-44i−4i044-20-4-424i−4i4i−4i−2i2i4-2-2-2-20-4222200000004i−4i−2i2i−2i2i−2i−2i2i2i000000000000000000000000000000000000004-44i−4i0000000000-22−2i2i000000000000000000000000
χ1064-44i−4i044-20-4-424i−4i4i−4i−2i2i4-2-2-2-20-4222200000004i−4i−2i2i−2i2i−2i−2i2i2i00000000000000000000000000000000000000-44−4i4i00000000002-22i−2i000000000000000000000000
χ1074-44i−4i04-240-42-44i−4i−2i2i4i−4i-24-2-2-202-42220000000−2i2i4i−4i−2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000002+2i−2−2i2−2i−2+2i0000000000000000−1−i1+i−1+i1−i00000000
χ1084-44i−4i04-240-42-44i−4i−2i2i4i−4i-24-2-2-202-42220000000−2i2i4i−4i−2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000−2−2i2+2i−2+2i2−2i00000000000000001+i−1−i1−i−1+i00000000
χ1094-44i−4i0-24402-4-4−2i2i4i−4i4i−4i-2-24-2-2022-4220000000−2i2i−2i2i4i−4i−2i−2i2i2i000000000000000000000000000000000000000000002+2i−2−2i2−2i−2+2i0000000000000000−1−i1+i−1+i1−i000000000000
χ1104-44i−4i0-24402-4-4−2i2i4i−4i4i−4i-2-24-2-2022-4220000000−2i2i−2i2i4i−4i−2i−2i2i2i00000000000000000000000000000000000000000000−2−2i2+2i−2+2i2−2i00000000000000001+i−1−i1−i−1+i000000000000
χ1114-4−4i4i044-20-4-42−4i4i−4i4i2i−2i4-2-2-2-20-422220000000−4i4i2i−2i2i−2i2i2i−2i−2i000000000000000000000000000000000000004-4−4i4i0000000000-222i−2i000000000000000000000000
χ1124-4−4i4i044-20-4-42−4i4i−4i4i2i−2i4-2-2-2-20-422220000000−4i4i2i−2i2i−2i2i2i−2i−2i00000000000000000000000000000000000000-444i−4i00000000002-2−2i2i000000000000000000000000
χ1134-4−4i4i04-240-42-4−4i4i2i−2i−4i4i-24-2-2-202-422200000002i−2i−4i4i2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000002−2i−2+2i2+2i−2−2i0000000000000000−1+i1−i−1−i1+i00000000
χ1144-4−4i4i04-240-42-4−4i4i2i−2i−4i4i-24-2-2-202-422200000002i−2i−4i4i2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000−2+2i2−2i−2−2i2+2i00000000000000001−i−1+i1+i−1−i00000000
χ1154-4−4i4i0-24402-4-42i−2i−4i4i−4i4i-2-24-2-2022-42200000002i−2i2i−2i−4i4i2i2i−2i−2i000000000000000000000000000000000000000000002−2i−2+2i2+2i−2−2i0000000000000000−1+i1−i−1−i1+i000000000000
χ1164-4−4i4i0-24402-4-42i−2i−4i4i−4i4i-2-24-2-2022-42200000002i−2i2i−2i−4i4i2i2i−2i−2i00000000000000000000000000000000000000000000−2+2i2−2i−2−2i2+2i00000000000000001−i−1+i1+i−1−i000000000000
χ1178-88i−8i08-4-40-8448i−8i−4i4i−4i4i-4-4222044-2-2-20000000−4i4i−4i4i2i−2i2i2i−2i−2i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1188-88i−8i0-48-404-84−4i4i8i−8i−4i4i-42-42204-24-2-20000000−4i4i2i−2i−4i4i2i2i−2i−2i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-88i−8i0-4-48044-8−4i4i−4i4i8i−8i2-4-4220-244-2-200000002i−2i−4i4i−4i4i2i2i−2i−2i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-88i−8i0-4-4-40444−4i4i−4i4i−4i4i222−1−3i3−1+3i30-2-2-21+3i31−3i300000002i−2i2i−2i2i−2i−2ζ7+4ζ114ζ7−2ζ112ζ7−4ζ11−4ζ7+2ζ1100000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1218-88i−8i0-4-4-40444−4i4i−4i4i−4i4i222−1+3i3−1−3i30-2-2-21−3i31+3i300000002i−2i2i−2i2i−2i4ζ7−2ζ11−2ζ7+4ζ11−4ζ7+2ζ112ζ7−4ζ1100000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1228-8−8i8i08-4-40-844−8i8i4i−4i4i−4i-4-4222044-2-2-200000004i−4i4i−4i−2i2i−2i−2i2i2i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1238-8−8i8i0-48-404-844i−4i−8i8i4i−4i-42-42204-24-2-200000004i−4i−2i2i4i−4i−2i−2i2i2i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1248-8−8i8i0-4-48044-84i−4i4i−4i−8i8i2-4-4220-244-2-20000000−2i2i4i−4i4i−4i−2i−2i2i2i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1258-8−8i8i0-4-4-404444i−4i4i−4i4i−4i222−1−3i3−1+3i30-2-2-21+3i31−3i30000000−2i2i−2i2i−2i2i2ζ7−4ζ11−4ζ7+2ζ11−2ζ7+4ζ114ζ7−2ζ1100000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-8−8i8i0-4-4-404444i−4i4i−4i4i−4i222−1+3i3−1−3i30-2-2-21−3i31+3i30000000−2i2i−2i2i−2i2i−4ζ7+2ζ112ζ7−4ζ114ζ7−2ζ11−2ζ7+4ζ1100000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.