Finite Group Databasebeta

← Group #13167307

Character table — Group #13167307

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222244444444444444444488888888888888889999121212121212121212121212181818181818242424242424242424242424363636363636545454545454545472727272
order122222366633336666666666666636666666666666664444444412121212121212124412121212121212121212121212121212444412128888888812121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ51111-1-111111111-1-11111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1
χ61111-1-111111111-1-11111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111
χ71111-1-111111111-1-11111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1
χ81111-1-111111111-1-11111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-111
χ911-1-11-11-1-1111111-11111-1-1-1-1-1-1-1-111111-1-1-1-11-1-111-1-111-1-1i−ii−iii−i−iii−i−i-1111-1-1iii−i−i−iiii−i−i−ii−ii−i1-111-1-111-1-1i−ii−i
χ1011-1-11-11-1-1111111-11111-1-1-1-1-1-1-1-111111-1-1-1-11-1-111-1-111-1-1i−ii−iii−i−iii−i−i-1111-1-1iii−i−i−iiii−i−i−i−ii−ii1-1-1-111-1-111−ii−ii
χ1111-1-11-11-1-1111111-11111-1-1-1-1-1-1-1-111111-1-1-1-11-1-111-1-111-1-1−ii−ii−i−iii−i−iii-1111-1-1−i−i−iiii−i−i−iiiii−ii−i1-1-1-111-1-111i−ii−i
χ1211-1-11-11-1-1111111-11111-1-1-1-1-1-1-1-111111-1-1-1-11-1-111-1-111-1-1−ii−ii−i−iii−i−iii-1111-1-1−i−i−iiii−i−i−iiii−ii−ii1-111-1-111-1-1−ii−ii
χ1311-1-1-111-1-111111-111111-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-111-1-111i−i−iiii−i−i−i−iii-11-1-111iii−i−i−i−i−i−iiiii−i−ii1-111-1-1-1-111i−i−ii
χ1411-1-1-111-1-111111-111111-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-111-1-111i−i−iiii−i−i−i−iii-11-1-111iii−i−i−i−i−i−iiii−iii−i1-1-1-11111-1-1−iii−i
χ1511-1-1-111-1-111111-111111-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-111-1-111−iii−i−i−iiiii−i−i-11-1-111−i−i−iiiiiii−i−i−ii−i−ii1-1-1-11111-1-1i−i−ii
χ1611-1-1-111-1-111111-111111-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-111-1-111−iii−i−i−iiiii−i−i-11-1-111−i−i−iiiiiii−i−i−i−iii−i1-111-1-1-1-111−iii−i
χ1722222222222222222222222222222222222222222222-2-2-2-2000000000000-2-2-2-2-2-20000000000000000-2-2000000000000
χ18222222-1-1-1-122-1-1-1-122-1-122-1-1-1-122-122-1-122-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-122-1-1-1-12-1-12-1-12-1-12-1-10000-1-1000000000000
χ19222222-1-1-1-122-1-1-1-122-1-122-1-1-1-122-122-1-122-1-1-1-1-1-1-1-1-12222-2-2-2-21111111122-1-1-1-1-211-211-211-2110000-1-1000000000000
χ20222222-1-1-1-122-1-1-1-122-1-122-1-1-1-122-122-1-122-1-1-1-1-1-1-1-1-1-2-2-2-20000−i3i3−i3i3−i3i3−i3i3-2-211110−i3i30−i3i30−i3i30−i3i3000011000000000000
χ21222222-1-1-1-122-1-1-1-122-1-122-1-1-1-122-122-1-122-1-1-1-1-1-1-1-1-1-2-2-2-20000i3−i3i3−i3i3−i3i3−i3-2-211110i3−i30i3−i30i3−i30i3−i3000011000000000000
χ222222-2-222222222-2-22222222222222-2-2-2-2-2-2-2-2222-2-2-2-22222000000000000-2-222220000000000000000-2-2000000000000
χ232222-2-2-1-1-1-122-1-11122-1-122-1-1-1-122-1-2-211-2-211-1-1-1111122220000−i3i3−i3i3i3−i3i3−i3-2-2-1-1-1-10−i3i30−i3i30i3−i30i3−i3000011000000000000
χ242222-2-2-1-1-1-122-1-11122-1-122-1-1-1-122-1-2-211-2-211-1-1-1111122220000i3−i3i3−i3−i3i3−i3i3-2-2-1-1-1-10i3−i30i3−i30−i3i30−i3i3000011000000000000
χ252222-2-2-1-1-1-122-1-11122-1-122-1-1-1-122-1-2-211-2-211-1-1-11111-2-2-2-222-2-2-1-1-1-111112211112-1-12-1-1-211-2110000-1-1000000000000
χ262222-2-2-1-1-1-122-1-11122-1-122-1-1-1-122-1-2-211-2-211-1-1-11111-2-2-2-2-2-2221111-1-1-1-1221111-211-2112-1-12-1-10000-1-1000000000000
χ2722-2-22-22-2-2222222-22222-2-2-2-2-2-2-2-222222-2-2-2-22-2-222-2-2-2-2220000000000002-2-2-2220000000000000000-22000000000000
χ2822-2-22-2-111-122-1-1-1122-1-1-2-21111-2-2-122-1-1-2-211-111-1-11122-2-22i−2i2i−2i−i−iii−i−iii-22-1-1112i−i−i−2iii2i−i−i−2iii0000-11000000000000
χ2922-2-22-2-111-122-1-1-1122-1-1-2-21111-2-2-122-1-1-2-211-111-1-11122-2-2−2i2i−2i2iii−i−iii−i−i-22-1-111−2iii2i−i−i−2iii2i−i−i0000-11000000000000
χ3022-2-22-2-111-122-1-1-1122-1-1-2-21111-2-2-122-1-1-2-211-111-1-111-2-22200003−3−333−3−332-211-1-103−30−3303−30−3300001-1000000000000
χ3122-2-22-2-111-122-1-1-1122-1-1-2-21111-2-2-122-1-1-2-211-111-1-111-2-2220000−333−3−333−32-211-1-10−3303−30−3303−300001-1000000000000
χ3222-2-2-222-2-222222-222222-2-2-2-2-2-2-2-22-2-2-2-222222-2-2-2-22222-2-20000000000002-222-2-20000000000000000-22000000000000
χ3322-2-2-22-111-122-1-11-122-1-1-2-21111-2-2-1-2-21122-1-1-11111-1-122-2-200003−3−33−333−32-2-1-11103−30−330−3303−300001-1000000000000
χ3422-2-2-22-111-122-1-11-122-1-1-2-21111-2-2-1-2-21122-1-1-11111-1-122-2-20000−333−33−3−332-2-1-1110−3303−303−30−3300001-1000000000000
χ3522-2-2-22-111-122-1-11-122-1-1-2-21111-2-2-1-2-21122-1-1-11111-1-1-2-2222i−2i−2i2i−i−iiiii−i−i-2211-1-12i−i−i−2iii−2iii2i−i−i0000-11000000000000
χ3622-2-2-22-111-122-1-11-122-1-1-2-21111-2-2-1-2-21122-1-1-11111-1-1-2-222−2i2i2i−2iii−i−i−i−iii-2211-1-1−2iii2i−i−i2i−i−i−2iii0000-11000000000000
χ372-22-20022-2-2222200-2-2-2-22-222-2-22-2200000000-22-200002i−2i2i−2i000000000000002i−2i2i−2i0000000000000000002−22−2−i2i2−i2i20000
χ382-22-20022-2-2222200-2-2-2-22-222-2-22-2200000000-22-200002i−2i2i−2i000000000000002i−2i2i−2i000000000000000000−22−22i2−i2i2−i20000
χ392-22-20022-2-2222200-2-2-2-22-222-2-22-2200000000-22-20000−2i2i−2i2i00000000000000−2i2i−2i2i0000000000000000002−22−2i2−i2i2−i20000
χ402-22-20022-2-2222200-2-2-2-22-222-2-22-2200000000-22-20000−2i2i−2i2i00000000000000−2i2i−2i2i000000000000000000−22−22−i2i2−i2i20000
χ412-2-22002-22-2222200-2-2-2-2-22-2-222-22200000000-2-2200002i−2i−2i2i000000000000002i−2i−2i2i0000000000000000002−2−22−i2i2i2−i20000
χ422-2-22002-22-2222200-2-2-2-2-22-2-222-22200000000-2-2200002i−2i−2i2i000000000000002i−2i−2i2i000000000000000000−222−2i2−i2−i2i20000
χ432-2-22002-22-2222200-2-2-2-2-22-2-222-22200000000-2-220000−2i2i2i−2i00000000000000−2i2i2i−2i0000000000000000002−2−22i2−i2−i2i20000
χ442-2-22002-22-2222200-2-2-2-2-22-2-222-22200000000-2-220000−2i2i2i−2i00000000000000−2i2i2i−2i000000000000000000−222−2−i2i2i2−i20000
χ4544444444441-211441-211111111-2-2-21-2111-211-2-2-2-2-2-2-20000222222222222000000-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ4644444444441-211441-211111111-2-2-21-2111-211-2-2-2-2-2-2-20000-2-2-2-2-2-2-2-2-2-2-2-2000000111111111111000000000000000000
χ474444444444-21-2-244-21-2-2-2-2-2-2-2-2111-21-2-2-21-2-21111111000000000000000000000000000000000022220000000000-1-1-1-1
χ484444444444-21-2-244-21-2-2-2-2-2-2-2-2111-21-2-2-21-2-211111110000000000000000000000000000000000-2-2-2-200000000001111
χ49444444-2-2-2-21-2−1−3i32−1+3i32-2-21-2−1−3i32−1+3i3211−1−3i32−1+3i32−1−3i32−1+3i32-2-211-2−1−3i32−1+3i321-2−1−3i32−1+3i32111111100002222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3000000-11+i321−i32-11+i321−i32-11+i321−i32-11+i321−i32000000000000000000
χ50444444-2-2-2-21-2−1−3i32−1+3i32-2-21-2−1−3i32−1+3i3211−1−3i32−1+3i32−1−3i32−1+3i32-2-211-2−1−3i32−1+3i321-2−1−3i32−1+3i3211111110000-2-2-2-21+i31−i31+i31−i31+i31−i31+i31−i30000001−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32000000000000000000
χ51444444-2-2-2-21-2−1+3i32−1−3i32-2-21-2−1+3i32−1−3i3211−1+3i32−1−3i32−1+3i32−1−3i32-2-211-2−1+3i32−1−3i321-2−1+3i32−1−3i32111111100002222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3000000-11−i321+i32-11−i321+i32-11−i321+i32-11−i321+i32000000000000000000
χ52444444-2-2-2-21-2−1+3i32−1−3i32-2-21-2−1+3i32−1−3i3211−1+3i32−1−3i32−1+3i32−1−3i32-2-211-2−1+3i32−1−3i321-2−1+3i32−1−3i3211111110000-2-2-2-21−i31+i31−i31+i31−i31+i31−i31+i30000001−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32000000000000000000
χ534444-4-444441-211-4-41-211111111-2-2-2-12-1-1-12-1-1-2-2-22222000022-2-22222-2-2-2-2000000-1-1-1-1-1-1111111000000000000000000
χ544444-4-444441-211-4-41-211111111-2-2-2-12-1-1-12-1-1-2-2-222220000-2-222-2-2-2-22222000000111111-1-1-1-1-1-1000000000000000000
χ554444-4-44444-21-2-2-4-4-21-2-2-2-2-2-2-2-21112-1222-122111-1-1-1-1000000000000000000000000000000000022-2-20000000000-1-111
χ564444-4-44444-21-2-2-4-4-21-2-2-2-2-2-2-2-21112-1222-122111-1-1-1-10000000000000000000000000000000000-2-222000000000011-1-1
χ574444-4-4-2-2-2-21-2−1−3i32−1+3i32221-2−1−3i32−1+3i3211−1−3i32−1+3i32−1−3i32−1+3i32-2-21-121+3i321−3i32-121+3i321−3i32111-1-1-1-1000022-2-2−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i3000000-11+i321−i32-11+i321−i321−1−i32−1+i321−1−i32−1+i32000000000000000000
χ584444-4-4-2-2-2-21-2−1−3i32−1+3i32221-2−1−3i32−1+3i3211−1−3i32−1+3i32−1−3i32−1+3i32-2-21-121+3i321−3i32-121+3i321−3i32111-1-1-1-10000-2-2221+i31−i31+i31−i3−1−i3−1+i3−1−i3−1+i30000001−1−i32−1+i321−1−i32−1+i32-11+i321−i32-11+i321−i32000000000000000000
χ594444-4-4-2-2-2-21-2−1+3i32−1−3i32221-2−1+3i32−1−3i3211−1+3i32−1−3i32−1+3i32−1−3i32-2-21-121−3i321+3i32-121−3i321+3i32111-1-1-1-1000022-2-2−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i3000000-11−i321+i32-11−i321+i321−1+i32−1−i321−1+i32−1−i32000000000000000000
χ604444-4-4-2-2-2-21-2−1+3i32−1−3i32221-2−1+3i32−1−3i3211−1+3i32−1−3i32−1+3i32−1−3i32-2-21-121−3i321+3i32-121−3i321+3i32111-1-1-1-10000-2-2221−i31+i31−i31+i3−1+i3−1−i3−1+i3−1−i30000001−1+i32−1−i321−1+i32−1−i32-11−i321+i32-11−i321+i32000000000000000000
χ6144-4-44-44-4-441-2114-41-211-1-1-1-1-1-122-21-211-12-1-1-222-2-22200002i−2i2i−2i2i2i−2i−2i2i2i−2i−2i000000−i−i−iiii−i−i−iiii000000000000000000
χ6244-4-44-44-4-441-2114-41-211-1-1-1-1-1-122-21-211-12-1-1-222-2-2220000−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i000000iii−i−i−iiii−i−i−i000000000000000000
χ6344-4-44-44-4-44-21-2-24-4-21-2-2222222-1-11-21-2-22-1221-1-111-1-100000000000000000000000000000000002i−2i2i−2i0000000000−ii−ii
χ6444-4-44-44-4-44-21-2-24-4-21-2-2222222-1-11-21-2-22-1221-1-111-1-10000000000000000000000000000000000−2i2i−2i2i0000000000i−ii−i
χ6544-4-44-4-222-21-2−1−3i32−1+3i32-221-2−1−3i32−1+3i32-1-11+3i321−3i321+3i321−3i322211-2−1−3i32−1+3i32-121+3i321−3i321-1-111-1-100002i−2i2i−2i2ζ222ζ14−2ζ22−2ζ142ζ222ζ14−2ζ22−2ζ14000000−i−ζ22−ζ14iζ22ζ14−i−ζ22−ζ14iζ22ζ14000000000000000000
χ6644-4-44-4-222-21-2−1−3i32−1+3i32-221-2−1−3i32−1+3i32-1-11+3i321−3i321+3i321−3i322211-2−1−3i32−1+3i32-121+3i321−3i321-1-111-1-10000−2i2i−2i2i−2ζ22−2ζ142ζ222ζ14−2ζ22−2ζ142ζ222ζ14000000iζ22ζ14−i−ζ22−ζ14iζ22ζ14−i−ζ22−ζ14000000000000000000
χ6744-4-44-4-222-21-2−1+3i32−1−3i32-221-2−1+3i32−1−3i32-1-11−3i321+3i321−3i321+3i322211-2−1+3i32−1−3i32-121−3i321+3i321-1-111-1-100002i−2i2i−2i2ζ142ζ22−2ζ14−2ζ222ζ142ζ22−2ζ14−2ζ22000000−i−ζ14−ζ22iζ14ζ22−i−ζ14−ζ22iζ14ζ22000000000000000000
χ6844-4-44-4-222-21-2−1+3i32−1−3i32-221-2−1+3i32−1−3i32-1-11−3i321+3i321−3i321+3i322211-2−1+3i32−1−3i32-121−3i321+3i321-1-111-1-10000−2i2i−2i2i−2ζ14−2ζ222ζ142ζ22−2ζ14−2ζ222ζ142ζ22000000iζ14ζ22−i−ζ14−ζ22iζ14ζ22−i−ζ14−ζ22000000000000000000
χ6944-4-4-444-4-441-211-441-211-1-1-1-1-1-122-2-12-1-11-211-22222-2-200002i−2i−2i2i2i2i−2i−2i−2i−2i2i2i000000−i−i−iiiiiii−i−i−i000000000000000000
χ7044-4-4-444-4-441-211-441-211-1-1-1-1-1-122-2-12-1-11-211-22222-2-20000−2i2i2i−2i−2i−2i2i2i2i2i−2i−2i000000iii−i−i−i−i−i−iiii000000000000000000
χ7144-4-4-444-4-44-21-2-2-44-21-2-2222222-1-112-122-21-2-21-1-1-1-11100000000000000000000000000000000002i−2i−2i2i0000000000−iii−i
χ7244-4-4-444-4-44-21-2-2-44-21-2-2222222-1-112-122-21-2-21-1-1-1-1110000000000000000000000000000000000−2i2i2i−2i0000000000i−i−ii
χ7344-4-4-44-222-21-2−1−3i32−1+3i322-21-2−1−3i32−1+3i32-1-11+3i321−3i321+3i321−3i32221-121+3i321−3i321-2−1−3i32−1+3i321-1-1-1-11100002i−2i−2i2i2ζ222ζ14−2ζ22−2ζ14−2ζ22−2ζ142ζ222ζ14000000−i−ζ22−ζ14iζ22ζ14iζ22ζ14−i−ζ22−ζ14000000000000000000
χ7444-4-4-44-222-21-2−1−3i32−1+3i322-21-2−1−3i32−1+3i32-1-11+3i321−3i321+3i321−3i32221-121+3i321−3i321-2−1−3i32−1+3i321-1-1-1-1110000−2i2i2i−2i−2ζ22−2ζ142ζ222ζ142ζ222ζ14−2ζ22−2ζ14000000iζ22ζ14−i−ζ22−ζ14−i−ζ22−ζ14iζ22ζ14000000000000000000
χ7544-4-4-44-222-21-2−1+3i32−1−3i322-21-2−1+3i32−1−3i32-1-11−3i321+3i321−3i321+3i32221-121−3i321+3i321-2−1+3i32−1−3i321-1-1-1-11100002i−2i−2i2i2ζ142ζ22−2ζ14−2ζ22−2ζ14−2ζ222ζ142ζ22000000−i−ζ14−ζ22iζ14ζ22iζ14ζ22−i−ζ14−ζ22000000000000000000
χ7644-4-4-44-222-21-2−1+3i32−1−3i322-21-2−1+3i32−1−3i32-1-11−3i321+3i321−3i321+3i32221-121−3i321+3i321-2−1+3i32−1−3i321-1-1-1-1110000−2i2i2i−2i−2ζ14−2ζ222ζ142ζ222ζ142ζ22−2ζ14−2ζ22000000iζ14ζ22−i−ζ14−ζ22−i−ζ14−ζ22iζ14ζ22000000000000000000
χ774-44-400-2-22244-2-200-4-4224-4-2-2224-4-2000000002-2200004i−4i4i−4i00000000000000−2i2i−2i2i000000000000000000000000000000
χ784-44-400-2-22244-2-200-4-4224-4-2-2224-4-2000000002-220000−4i4i−4i4i000000000000002i−2i2i−2i000000000000000000000000000000
χ794-4-4400-22-2244-2-200-4-422-4422-2-2-44-20000000022-200004i−4i−4i4i00000000000000−2i2i2i−2i000000000000000000000000000000
χ804-4-4400-22-2244-2-200-4-422-4422-2-2-44-20000000022-20000−4i4i4i−4i000000000000002i−2i−2i2i000000000000000000000000000000
χ81888888-4-4-4-4-4222-4-4-4222-4-4222222-1-4222-4222-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000
χ828888-8-8-4-4-4-4-422244-4222-4-4222222-14-2-2-24-2-2-2-1-1-111110000000000000000000000000000000000000000000000000000
χ8388-8-88-8-444-4-4222-44-422244-2-2-2-2-2-2-1-42224-2-2-2-111-1-1110000000000000000000000000000000000000000000000000000
χ8488-8-8-88-444-4-42224-4-422244-2-2-2-2-2-2-14-2-2-2-4222-11111-1-10000000000000000000000000000000000000000000000000000
χ858-88-80088-8-82-42200-24-2-22-222-2-2-44-4000000004-4400000000000000000000000000000000000000000000000000000000
χ868-88-80088-8-8-42-4-4004-244-44-4-4442-2200000000-22-200000000000000000000000000000000000000000000000000000000
χ878-88-800-4-4442-4−1−3i3−1+3i300-241+3i31−3i32-2−1−3i3−1+3i31+3i31−3i3-44200000000-22-200000000000000000000000000000000000000000000000000000000
χ888-88-800-4-4442-4−1+3i3−1−3i300-241−3i31+3i32-2−1+3i3−1−3i31−3i31+3i3-44200000000-22-200000000000000000000000000000000000000000000000000000000
χ898-88-800-4-444-4222004-2-2-2-4422-2-22-2-1000000001-11−3i33i3−3i33i30000000000000000000000000000000000000000000000000000
χ908-88-800-4-444-4222004-2-2-2-4422-2-22-2-1000000001-113i3−3i33i3−3i30000000000000000000000000000000000000000000000000000
χ918-8-88008-88-82-42200-24-2-2-22-2-2224-4-40000000044-400000000000000000000000000000000000000000000000000000000
χ928-8-88008-88-8-42-4-4004-2444-444-4-4-22200000000-2-2200000000000000000000000000000000000000000000000000000000
χ938-8-8800-44-442-4−1−3i3−1+3i300-241+3i31−3i3-221+3i31−3i3−1−3i3−1+3i34-4200000000-2-2200000000000000000000000000000000000000000000000000000000
χ948-8-8800-44-442-4−1+3i3−1−3i300-241−3i31+3i3-221−3i31+3i3−1+3i3−1−3i34-4200000000-2-2200000000000000000000000000000000000000000000000000000000
χ958-8-8800-44-44-4222004-2-2-24-4-2-222-22-10000000011-1−3i33i33i3−3i30000000000000000000000000000000000000000000000000000
χ968-8-8800-44-44-4222004-2-2-24-4-2-222-22-10000000011-13i3−3i3−3i33i30000000000000000000000000000000000000000000000000000

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