Finite Group Databasebeta

← Group #11775885

Character table — Group #11775885

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222244444444444444444888888888888888888888888121212121212121218181818181824242424242424242424242436484848487272
order12223344446666663466612121212121212121212121288121212121212242424242424242424242424242424248888888822444422442424242424242424466121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-1-11-11-1-1-1
χ3111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-11-11-1-1-1-11111-1-11-11-1-1
χ4111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111
χ5111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1111111111-1-1-1-1-1-1
χ6111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-11-1111
χ7111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-11-1-1-1-1-11111-11-11-111
χ8111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111-1-1
χ9111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1i−i1111-1-1iiiiiiii−i−i−i−i−i−i−i−iii−i−iii−i−i11-1-1111-1-11ii−i−iii−i−i-11-1-11i−i
χ10111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1i−i1111-1-1iiiiiiii−i−i−i−i−i−i−i−iii−i−i−i−iii-1-111-1-111-1-1ii−i−i−i−iii111-1-1−ii
χ11111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1i−i1111-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−iiiii−i−i-1-111-1-1-1-111−i−iiiii−i−i1-1-111−ii
χ12111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1i−i1111-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−iii−i−iii11-1-111-111-1−i−iii−i−iii-1-111-1i−i
χ13111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1−ii1111-1-1−i−i−i−i−i−i−i−iiiiiiiiiii−i−iii−i−i11-1-111-111-1ii−i−iii−i−i-1-111-1−ii
χ14111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1−ii1111-1-1−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−iii-1-111-1-1-1-111ii−i−i−i−iii1-1-111i−i
χ15111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1−ii1111-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−iiiii−i−i-1-111-1-111-1-1−i−iiiii−i−i111-1-1i−i
χ16111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1−ii1111-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−iii−i−iii11-1-1111-1-11−i−iii−i−iii-11-1-11−ii
χ1722222222-2-22222222-2222-2-2-2-2-2-2-2-2222200-2-2-2-2220000000000000000000000002222-2-2000000000000-2000000
χ1822222222-2-22222222-2222-2-2-2-2-2-2-2-2222200-2-2-2-222000000000000000000000000-2-2-2-2220000000000002000000
χ19222222-2-2222222222-222222222222-2-2-2-200-2-2-2-2-2-200000000000000000000000022-2-2-2-20000000000002000000
χ20222222-2-2222222222-222222222222-2-2-2-200-2-2-2-2-2-2000000000000000000000000-2-22222000000000000-2000000
χ2122222-1222222-1-12-1-12-1-1-122-1-1-1-1-1-122-1-1222-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000222200000002020000-1-1-1-100-10-100
χ2222222-1222222-1-12-1-12-1-1-122-1-1-1-1-1-122-1-1222-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000-2-2-2-20000000-20-2000011110010100
χ2322222-1222222-1-12-1-12-1-1-122-1-1-1-1-1-122-1-1-2-22-1-1-1-1-1-2-2111111-2-2111111000022220000000-20-20000-1-1-1-10010100
χ2422222-1222222-1-12-1-12-1-1-122-1-1-1-1-1-122-1-1-2-22-1-1-1-1-1-2-2111111-2-21111110000-2-2-2-200000002020000111100-10-100
χ2522222-1-2-2-2-222-1-12-1-12-1-1-1-2-2111111-2-2112i−2i2-1-1-1112i2i−i−i−i−i−i−i−2i−2iiiiiii00002i2i−2i−2i0000000-2020000−i−iii0010-100
χ2622222-1-2-2-2-222-1-12-1-12-1-1-1-2-2111111-2-2112i−2i2-1-1-1112i2i−i−i−i−i−i−i−2i−2iiiiiii0000−2i−2i2i2i000000020-20000ii−i−i00-10100
χ2722222-1-2-2-2-222-1-12-1-12-1-1-1-2-2111111-2-211−2i2i2-1-1-111−2i−2iiiiiii2i2i−i−i−i−i−i−i00002i2i−2i−2i000000020-20000−i−iii00-10100
χ2822222-1-2-2-2-222-1-12-1-12-1-1-1-2-2111111-2-211−2i2i2-1-1-111−2i−2iiiiiii2i2i−i−i−i−i−i−i0000−2i−2i2i2i0000000-2020000ii−i−i0010-100
χ292222-122222-1-122-12-12-1-1-1-1-122-1-1-1-1-1-12222-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1222200000000002020-1-1-1-100000-10-1000
χ302222-122222-1-122-12-12-1-1-1-1-122-1-1-1-1-1-12222-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-2-2-20000000000-20-20111100000101000
χ312222-122222-1-122-12-12-1-1-1-1-122-1-1-1-1-1-122-2-2-12-1-1-1-111-2-2111111-2-2111122220000000000-20-20-1-1-1-100000101000
χ322222-122222-1-122-12-12-1-1-1-1-122-1-1-1-1-1-122-2-2-12-1-1-1-111-2-2111111-2-21111-2-2-2-200000000002020111100000-10-1000
χ332222-12-2-2-2-2-1-122-12-12-1-1-111-2-2111111-2-22i−2i-12-1-111−i−i2i2i−i−i−i−iii−2i−2iiiii2i2i−2i−2i000000000020-20−i−iii00000-101000
χ342222-12-2-2-2-2-1-122-12-12-1-1-111-2-2111111-2-22i−2i-12-1-111−i−i2i2i−i−i−i−iii−2i−2iiiii−2i−2i2i2i0000000000-2020ii−i−i0000010-1000
χ352222-12-2-2-2-2-1-122-12-12-1-1-111-2-2111111-2-2−2i2i-12-1-111ii−2i−2iiiii−i−i2i2i−i−i−i−i2i2i−2i−2i0000000000-2020−i−iii0000010-1000
χ362222-12-2-2-2-2-1-122-12-12-1-1-111-2-2111111-2-2−2i2i-12-1-111ii−2i−2iiiii−i−i2i2i−i−i−i−i−2i−2i2i2i000000000020-20ii−i−i00000-101000
χ3722-2-222002i−2i2-22-2-2-2202-2-22i−2i2i−2i2i2i−2i−2i00000000000000000000000000001+i−1−i1−i−1+i1−i−1+i1+i−1−i002-22i−2i00001+i−1−i1−i−1+i1−i−1+i1+i−1−i0000000
χ3822-2-222002i−2i2-22-2-2-2202-2-22i−2i2i−2i2i2i−2i−2i00000000000000000000000000001+i−1−i1−i−1+i−1+i1−i−1−i1+i00-22−2i2i00001+i−1−i1−i−1+i−1+i1−i−1−i1+i0000000
χ3922-2-222002i−2i2-22-2-2-2202-2-22i−2i2i−2i2i2i−2i−2i0000000000000000000000000000−1−i1+i−1+i1−i1−i−1+i1+i−1−i00-22−2i2i0000−1−i1+i−1+i1−i1−i−1+i1+i−1−i0000000
χ4022-2-222002i−2i2-22-2-2-2202-2-22i−2i2i−2i2i2i−2i−2i0000000000000000000000000000−1−i1+i−1+i1−i−1+i1−i−1−i1+i002-22i−2i0000−1−i1+i−1+i1−i−1+i1−i−1−i1+i0000000
χ4122-2-22200−2i2i2-22-2-2-2202-2-2−2i2i−2i2i−2i−2i2i2i00000000000000000000000000001−i−1+i1+i−1−i1+i−1−i1−i−1+i002-2−2i2i00001−i−1+i1+i−1−i1+i−1−i1−i−1+i0000000
χ4222-2-22200−2i2i2-22-2-2-2202-2-2−2i2i−2i2i−2i−2i2i2i00000000000000000000000000001−i−1+i1+i−1−i−1−i1+i−1+i1−i00-222i−2i00001−i−1+i1+i−1−i−1−i1+i−1+i1−i0000000
χ4322-2-22200−2i2i2-22-2-2-2202-2-2−2i2i−2i2i−2i−2i2i2i0000000000000000000000000000−1+i1−i−1−i1+i1+i−1−i1−i−1+i00-222i−2i0000−1+i1−i−1−i1+i1+i−1−i1−i−1+i0000000
χ4422-2-22200−2i2i2-22-2-2-2202-2-2−2i2i−2i2i−2i−2i2i2i0000000000000000000000000000−1+i1−i−1−i1+i−1−i1+i−1+i1−i002-2−2i2i0000−1+i1−i−1−i1+i−1−i1+i−1+i1−i0000000
χ4544444-244-4-444-2-24-2-2-4-2-2-2-4-422222244-2-200-4222-2-20000000000000000000000000000000000000000000000000
χ4644444-2-4-44444-2-24-2-2-4-2-2-244-2-2-2-2-2-2-4-42200-4222220000000000000000000000000000000000000000000000000
χ474444-2444-4-4-2-244-24-2-4-2-2-222-4-42222-2-244002-422-2-20000000000000000000000000000000000000000000000000
χ484444-24-4-444-2-244-24-2-4-2-2-2-2-244-2-2-2-222-4-4002-422220000000000000000000000000000000000000000000000000
χ494444-2-24444-2-2-2-2-2-214111-2-2-2-21111-2-2-2-244-2-21111-2-2-2-21111-2-2-2-21111000000000000000000000000000000000
χ504444-2-24444-2-2-2-2-2-214111-2-2-2-21111-2-2-2-2-4-4-2-211112222-1-1-1-12222-1-1-1-1000000000000000000000000000000000
χ514444-2-244-4-4-2-2-2-2-2-21-41112222-1-1-1-1-2-2-2-20022-1-11100003i3i−3i−3i00003i3i−3i−3i000000000000000000000000000000000
χ524444-2-244-4-4-2-2-2-2-2-21-41112222-1-1-1-1-2-2-2-20022-1-1110000−3i−3i3i3i0000−3i−3i3i3i000000000000000000000000000000000
χ534444-2-2-4-444-2-2-2-2-2-21-4111-2-2-2-2111122220022-1-1-1-1000033-3-30000-3-333000000000000000000000000000000000
χ544444-2-2-4-444-2-2-2-2-2-21-4111-2-2-2-2111122220022-1-1-1-10000-3-333000033-3-3000000000000000000000000000000000
χ554444-2-2-4-4-4-4-2-2-2-2-2-2141112222-1-1-1-122224i−4i-2-211-1-1−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i000000000000000000000000000000000
χ564444-2-2-4-4-4-4-2-2-2-2-2-2141112222-1-1-1-12222−4i4i-2-211-1-12i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii000000000000000000000000000000000
χ5744-4-44-2004i−4i4-4-22-42-20-2224i−4i−2i2i−2i−2i2i2i000000000000000000000000000000002−2i−2+2i2+2i−2−2i00000000000000−1+i1−i−1−i1+i0000000
χ5844-4-44-2004i−4i4-4-22-42-20-2224i−4i−2i2i−2i−2i2i2i00000000000000000000000000000000−2+2i2−2i−2−2i2+2i000000000000001−i−1+i1+i−1−i0000000
χ5944-4-44-200−4i4i4-4-22-42-20-222−4i4i2i−2i2i2i−2i−2i000000000000000000000000000000002+2i−2−2i2−2i−2+2i00000000000000−1−i1+i−1+i1−i0000000
χ6044-4-44-200−4i4i4-4-22-42-20-222−4i4i2i−2i2i2i−2i−2i00000000000000000000000000000000−2−2i2+2i−2+2i2−2i000000000000001+i−1−i1−i−1+i0000000
χ6144-4-4-24004i−4i-224-42-4-20-222−2i2i4i−4i−2i−2i2i2i00000000000000000000000000002+2i−2−2i2−2i−2+2i00000000000000−1−i1+i−1+i1−i00000000000
χ6244-4-4-24004i−4i-224-42-4-20-222−2i2i4i−4i−2i−2i2i2i0000000000000000000000000000−2−2i2+2i−2+2i2−2i000000000000001+i−1−i1−i−1+i00000000000
χ6344-4-4-2400−4i4i-224-42-4-20-2222i−2i−4i4i2i2i−2i−2i00000000000000000000000000002−2i−2+2i2+2i−2−2i00000000000000−1+i1−i−1−i1+i00000000000
χ6444-4-4-2400−4i4i-224-42-4-20-2222i−2i−4i4i2i2i−2i−2i0000000000000000000000000000−2+2i2−2i−2−2i2+2i000000000000001−i−1+i1+i−1−i00000000000
χ654-44-4444i−4i00-44-44-4-440-44-4000000004i−4i4i−4i0000004i−4i0000000000000000000000000000000000000000000000000
χ664-44-444−4i4i00-44-44-4-440-44-400000000−4i4i−4i4i000000−4i4i0000000000000000000000000000000000000000000000000
χ674-44-44-24i−4i00-442-2-42-202-22000000004i−4i−2i2i000000−2i2i00−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ1100−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11000000000000000000000000000000000
χ684-44-44-24i−4i00-442-2-42-202-22000000004i−4i−2i2i000000−2i2i00ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ1100ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11000000000000000000000000000000000
χ694-44-44-2−4i4i00-442-2-42-202-2200000000−4i4i2i−2i0000002i−2i00−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ1100−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11000000000000000000000000000000000
χ704-44-44-2−4i4i00-442-2-42-202-2200000000−4i4i2i−2i0000002i−2i00ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ1100ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11000000000000000000000000000000000
χ714-44-4-244i−4i002-2-442-4-202-2200000000−2i2i4i−4i000000−2i2i−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ1100−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ1100ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11000000000000000000000000000000000
χ724-44-4-244i−4i002-2-442-4-202-2200000000−2i2i4i−4i000000−2i2iζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ1100ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ1100−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11000000000000000000000000000000000
χ734-44-4-24−4i4i002-2-442-4-202-22000000002i−2i−4i4i0000002i−2i−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ1100−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ1100ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11000000000000000000000000000000000
χ744-44-4-24−4i4i002-2-442-4-202-22000000002i−2i−4i4i0000002i−2iζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ1100ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ1100−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11000000000000000000000000000000000
χ754-44-4-2-24i−4i002-22-22210-11-100003-33-3−2i2i−2i2i00003i−3ii−i−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11i3−i33−3−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−33i3−i3000000000000000000000000000000000
χ764-44-4-2-24i−4i002-22-22210-11-100003-33-3−2i2i−2i2i00003i−3ii−iζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−i3i3−33ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ113−3−i3i3000000000000000000000000000000000
χ774-44-4-2-24i−4i002-22-22210-11-10000-33-33−2i2i−2i2i0000−3i3ii−i−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−33−i3i3−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−i3i33−3000000000000000000000000000000000
χ784-44-4-2-24i−4i002-22-22210-11-10000-33-33−2i2i−2i2i0000−3i3ii−iζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ113−3i3−i3ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11i3−i3−33000000000000000000000000000000000
χ794-44-4-2-2−4i4i002-22-22210-11-100003-33-32i−2i2i−2i0000−3i3i−ii−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11i3−i3−33−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ113−3i3−i3000000000000000000000000000000000
χ804-44-4-2-2−4i4i002-22-22210-11-100003-33-32i−2i2i−2i0000−3i3i−iiζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−i3i33−3ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−33−i3i3000000000000000000000000000000000
χ814-44-4-2-2−4i4i002-22-22210-11-10000-33-332i−2i2i−2i00003i−3i−ii−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ113−3−i3i3−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−i3i3−33000000000000000000000000000000000
χ824-44-4-2-2−4i4i002-22-22210-11-10000-33-332i−2i2i−2i00003i−3i−iiζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−33i3−i3ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11i3−i33−3000000000000000000000000000000000
χ834-4-44440000-4-4-4-44440-4-44000000000000000000000000000000000000000000004-400000000000000000000000
χ844-4-44440000-4-4-4-44440-4-4400000000000000000000000000000000000000000000-4400000000000000000000000
χ8588-8-8-4-4008i−8i-44-4444202-2-2−4i4i−4i4i2i2i−2i−2i0000000000000000000000000000000000000000000000000000000000000
χ8688-8-8-4-400−8i8i-44-4444202-2-24i−4i4i−4i−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000000
χ878-8-888-40000-8-8448-4-4044-4000000000000000000000000000000000000000000000000000000000000000000000
χ888-8-88-48000044-8-8-48-4044-4000000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-400004444-4-420-2-2200006i−6i−6i6i0000000000000000000000000000000000000000000000000000000000000
χ908-8-88-4-400004444-4-420-2-220000−6i6i6i−6i0000000000000000000000000000000000000000000000000000000000000

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