Finite Group Databasebeta

← Group #13156603

Character table — Group #13156603

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111222222222222224444444444444444444444666688888888888812121212121212121212121212121212181818182424242424242424242424242424242424243636363654545454727272727272
order122233344666666666333666666666121212121212121212128888366612121212121212122424242424242424242424242424242444442466666666121212121212121212121212888824661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111
χ51111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111
χ71111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-111
χ81111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-111111-111-1-1
χ92222222-2-2222222222222222222222-2-2-2-2-2-2-2-2-2-200002222-2-2-2-2-2-2-2-2000000000000000022-2-200000000000000000022-2-20000000000
χ102222222-2-2222222222222222222222-2-2-2-2-2-2-2-2-2-200002222-2-2-2-2-2-2-2-20000000000000000-2-222000000000000000000-2-2220000000000
χ11222222-12222-1-1-122222-1-122-1-1-1-1-1-12-1222-1-1-12-1-12222-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100002022-1-1-1-1-1-1000000000000000020-1-100
χ12222222-12222-1-1-122222-1-122-1-1-1-1-1-12-1222-1-1-12-1-12222-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-20-2-21111110000000000000000-201100
χ13222222-12222-1-1-122222-1-122-1-1-1-1-1-12-1222-1-1-12-1-1-2-2-2-2-1-1-1-1-1-122-1-1-1-1-2-2-2-211111111111100002022-1-1-1-1-1-10000000000000000-201100
χ14222222-12222-1-1-122222-1-122-1-1-1-1-1-12-1222-1-1-12-1-1-2-2-2-2-1-1-1-1-1-122-1-1-1-1-2-2-2-21111111111110000-20-2-2111111000000000000000020-1-100
χ1522222-122222222-1-1-12-12-1-1-122-1-12-1-12-1-122222220000-1-1-1-1-1-1-1-1-1-1-1-10000000000000000222222-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-10000000000
χ1622222-122222222-1-1-12-12-1-1-122-1-12-1-12-1-122222220000-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-2-211-2-2111111-2-21111-1-1-1-10000000000
χ1722222-122222222-1-1-12-12-1-1-122-1-12-1-12-1-122222220000-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-22-2-1-122-1-1-1-111-2-2111111110000000000
χ1822222-122222222-1-1-12-12-1-1-122-1-12-1-12-1-122222220000-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-2-2211-2-21111-1-122-1-1-1-111110000000000
χ1922222-12-2-222222-1-1-12-12-1-1-122-1-12-1-1-211-2-2-2-2-2-2-20000-1-1-1-111111111000000000000000022-2-200−i3i300−i3−i3i3i3−i3i300−i3−i3i3i3-1-1110000000000
χ2022222-12-2-222222-1-1-12-12-1-1-122-1-12-1-1-211-2-2-2-2-2-2-20000-1-1-1-111111111000000000000000022-2-200i3−i300i3i3−i3−i3i3−i300i3i3−i3−i3-1-1110000000000
χ2122222-12-2-222222-1-1-12-12-1-1-122-1-12-1-1-211-2-2-2-2-2-2-20000-1-1-1-1111111110000000000000000-2-22200−i3i300−i3−i3i3i3i3−i300i3i3−i3−i311-1-10000000000
χ2222222-12-2-222222-1-1-12-12-1-1-122-1-12-1-1-211-2-2-2-2-2-2-20000-1-1-1-1111111110000000000000000-2-22200i3−i300i3i3−i3−i3−i3i300−i3−i3i3i311-1-10000000000
χ232222-12222-1-1222222-1-1-12-1-1-1-122-12-1222-1-1-12-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000020000000022-1-1-1-1-1-1000000000200-1-1
χ242222-12222-1-1222222-1-1-12-1-1-1-122-12-1222-1-1-12-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000-200000000-2-2111111000000000-20011
χ252222-12222-1-1222222-1-1-12-1-1-1-122-12-1222-1-1-12-1-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-11111-2-2-2-2111111110000020000000022-1-1-1-1-1-1000000000-20011
χ262222-12222-1-1222222-1-1-12-1-1-1-122-12-1222-1-1-12-1-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-11111-2-2-2-21111111100000-200000000-2-2111111000000000200-1-1
χ2722-2-2222002-22-2-2-22-2-22222-22-22-2-2-2-2000000000022−2−222-2-20000000022−2−222−2−22222−2−2−2−2002i−2i000000000000000000002i−2i−i2−i2i2i2000000
χ2822-2-2222002-22-2-2-22-2-22222-22-22-2-2-2-2000000000022−2−222-2-20000000022−2−222−2−22222−2−2−2−200−2i2i00000000000000000000−2i2ii2i2−i2−i2000000
χ2922-2-2222002-22-2-2-22-2-22222-22-22-2-2-2-20000000000−2−22222-2-200000000−2−222−2−222−2−2−2−22222002i−2i000000000000000000002i−2ii2i2−i2−i2000000
χ3022-2-2222002-22-2-2-22-2-22222-22-22-2-2-2-20000000000−2−22222-2-200000000−2−222−2−222−2−2−2−2222200−2i2i00000000000000000000−2i2i−i2−i2i2i2000000
χ312-22-222200-22-22-2-2-22-2222-22-22-22-2-2-200000000002−22−22-22-2000000002−22−22−22−222−2−222−2−22i−2i000000000000000000002i−2i00−i2i2−i2i2000000
χ322-22-222200-22-22-2-2-22-2222-22-22-22-2-2-200000000002−22−22-22-2000000002−22−22−22−222−2−222−2−2−2i2i00000000000000000000−2i2i00i2−i2i2−i2000000
χ332-22-222200-22-22-2-2-22-2222-22-22-22-2-2-20000000000−22−222-22-200000000−22−22−22−22−2−222−2−2222i−2i000000000000000000002i−2i00i2−i2i2−i2000000
χ342-22-222200-22-22-2-2-22-2222-22-22-22-2-2-20000000000−22−222-22-200000000−22−22−22−22−2−222−2−222−2i2i00000000000000000000−2i2i00−i2i2−i2i2000000
χ352-2-222222-2-2-2-2-222-2-22222-2-2-2-2-2-2222-22-2-2-2-222222-2-222-2-222-22-222-2-22-2-222-2-2222-2-2-2-222000000000000000000000000000000000000
χ362-2-222222-2-2-2-2-222-2-22222-2-2-2-2-2-2222-22-2-2-2-22222-222-22-2-222-22-222-2-2-222-2-222-2-2-22222-2-2000000000000000000000000000000000000
χ372-2-22222-22-2-2-2-222-2-22222-2-2-2-2-2-22222-22222-2-2-2-200002-2-22-22-22-2-2220000000000000000000000000000000000000000002-2-22000000
χ382-2-22222-22-2-2-2-222-2-22222-2-2-2-2-2-22222-22222-2-2-2-200002-2-22-22-22-2-222000000000000000000000000000000000000000000-222-2000000
χ392-2-2222-12-2-2-211-12-2-222-1-1-2-21111-1-1212-2-211-12-1-12-2-22-111-1-112-2-1-1112-2-22-111-1-1-11111-1-100000000−i3i3−i3i3−i3i3000000000000000000−i3i300
χ402-2-2222-12-2-2-211-12-2-222-1-1-2-21111-1-1212-2-211-12-1-12-2-22-111-1-112-2-1-1112-2-22-111-1-1-11111-1-100000000i3−i3i3−i3i3−i3000000000000000000i3−i300
χ412-2-2222-12-2-2-211-12-2-222-1-1-2-21111-1-1212-2-211-12-1-1-222-2-111-1-112-2-1-111-222-21-1-1111-1-1-1-11100000000−i3i3−i3i3−i3i3000000000000000000i3−i300
χ422-2-2222-12-2-2-211-12-2-222-1-1-2-21111-1-1212-2-211-12-1-1-222-2-111-1-112-2-1-111-222-21-1-1111-1-1-1-11100000000i3−i3i3−i3i3−i3000000000000000000−i3i300
χ432-2-22-1222-211-2-222-2-2-1-1-121111-2-2-12-1-22-21112-1-1-12-2-22-111-12-2-11-1-111-111-12-2-22-1-11111-1-10000000000000000−i3i3−i3i3−i3i3000000000000−i3i3
χ442-2-22-1222-211-2-222-2-2-1-1-121111-2-2-12-1-22-21112-1-1-12-2-22-111-12-2-11-1-111-111-12-2-22-1-11111-1-10000000000000000i3−i3i3−i3i3−i3000000000000i3−i3
χ452-2-22-1222-211-2-222-2-2-1-1-121111-2-2-12-1-22-21112-1-1-1-222-2-111-12-2-11-1-1111-1-11-222-211-1-1-1-1110000000000000000−i3i3−i3i3−i3i3000000000000i3−i3
χ462-2-22-1222-211-2-222-2-2-1-1-121111-2-2-12-1-22-21112-1-1-1-222-2-111-12-2-11-1-1111-1-11-222-211-1-1-1-1110000000000000000i3−i3i3−i3i3−i3000000000000−i3i3
χ47444444-2-4-444-2-2-244444-2-244-2-2-2-2-2-242-4-4-4222-4220000-2-2-2-222-4-422220000000000000000000000000000000000000000000000000000
χ4844444-2-24444-2-2-2-2-2-24-2-21-2-2-2-211-21-2-2-2-24-2-2-24-2-20000111111-2-211110000000000000000000040-2-2-2-211110000000000000000000000
χ4944444-2-24444-2-2-2-2-2-24-2-21-2-2-2-211-21-2-2-2-24-2-2-24-2-20000111111-2-2111100000000000000000000-402222-1-1-1-10000000000000000000000
χ5044444-2-2-4-444-2-2-2-2-2-24-2-21-2-2-2-211-21-2222-4222-42200001111-1-122-1-1-1-10000000000000000000000−2i32i300i3i3−i3−i30000000000000000000000
χ5144444-2-2-4-444-2-2-2-2-2-24-2-21-2-2-2-211-21-2222-4222-42200001111-1-122-1-1-1-100000000000000000000002i3−2i300−i3−i3i3i30000000000000000000000
χ524444-244-4-4-2-2444444-2-2-24-2-2-2-244-24-2-4-4-4222-42220000-2-2-2-2-4-42222220000000000000000000000000000000000000000000000000000
χ534444-24-244-2-2-2-2-2444-2-21-2-2-211-2-21-2-2-244-211-2-21144441111-2-2-2-21111-2-2-2-2-2-2-2-211111111000000000000000000000000000000000000
χ544444-24-244-2-2-2-2-2444-2-21-2-2-211-2-21-2-2-244-211-2-211-4-4-4-41111-2-2-2-2111122222222-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ554444-24-2-4-4-2-2-2-2-2444-2-21-2-2-211-2-21-2-22-4-42-1-122-1-1000011112222-1-1-1-1000000003i−3i3i−3i3i−3i3i−3i000000000000000000000000000000000000
χ564444-24-2-4-4-2-2-2-2-2444-2-21-2-2-211-2-21-2-22-4-42-1-122-1-1000011112222-1-1-1-100000000−3i3i−3i3i−3i3i−3i3i000000000000000000000000000000000000
χ574444-2-2444-2-2444-2-2-2-21-2-211-2-2-2-2-2-214-2-2-2-2-24-2-2-200001111-2-2111111000000000000000000000400000000-2-2-2-2111100000000000000
χ584444-2-2444-2-2444-2-2-2-21-2-211-2-2-2-2-2-214-2-2-2-2-24-2-2-200001111-2-2111111000000000000000000000-4000000002222-1-1-1-100000000000000
χ594444-2-24-4-4-2-2444-2-2-2-21-2-211-2-2-2-2-2-21-422222-42220000111122-1-1-1-1-1-1000000000000000000000000000000−2i32i300i3i3−i3−i300000000000000
χ604444-2-24-4-4-2-2444-2-2-2-21-2-211-2-2-2-2-2-21-422222-42220000111122-1-1-1-1-1-10000000000000000000000000000002i3−2i300−i3−i3i3i300000000000000
χ6144-4-444-2004-4-222-44-4-44-2-24-4-22-2222-400000000002222−22−22-2-222000000002222−22−22−2−222−2−2−2−22222000000000000000000000000000000000000
χ6244-4-444-2004-4-222-44-4-44-2-24-4-22-2222-40000000000−22−222222-2-22200000000−22−22222222−2−22222−2−2−2−2000000000000000000000000000000000000
χ6344-4-44-24004-44-4-42-22-4-24-2-224-4-22-42200000000000000-2-222000000000000000000000000004i−4i00000000000000000000−2i2i0000000000
χ6444-4-44-24004-44-4-42-22-4-24-2-224-4-22-42200000000000000-2-22200000000000000000000000000−4i4i000000000000000000002i−2i0000000000
χ6544-4-4-24400-224-4-4-44-42-2-24-22-224-42-4200000000002222−22−22-2-22200000000−2−2222222−22−22−2−2−2−22222000000000000000000000000000000000000
χ6644-4-4-24400-224-4-4-44-42-2-24-22-224-42-420000000000−22−222222-2-2220000000022−2−2−22−2222222222−2−2−2−2000000000000000000000000000000000000
χ6744-4-4-24-200-22-222-44-42-21-2-221-1-22-12200003i−3i003i−3i2222−22−2211-1-100003i−3i3i−3i−2−222−2−222−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23000000000000000000000000000000000000
χ6844-4-4-24-200-22-222-44-42-21-2-221-1-22-12200003i−3i003i−3i−22−22222211-1-100003i−3i3i−3i22−2−222−2−22ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23000000000000000000000000000000000000
χ6944-4-4-24-200-22-222-44-42-21-2-221-1-22-1220000−3i3i00−3i3i2222−22−2211-1-10000−3i3i−3i3i−2−222−2−222ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23000000000000000000000000000000000000
χ7044-4-4-24-200-22-222-44-42-21-2-221-1-22-1220000−3i3i00−3i3i−22−22222211-1-10000−3i3i−3i3i22−2−222−2−2−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23000000000000000000000000000000000000
χ714-44-444-200-442-22-4-44-44-2-2-442-22-222-4000000000022−2222−22-22-220000000022−2222−22−22−22−2−222−2−222000000000000000000000000000000000000
χ724-44-444-200-442-22-4-44-44-2-2-442-22-222-40000000000−2222−2222-22-2200000000−2222−22222−22−222−2−222−2−2000000000000000000000000000000000000
χ734-44-44-2400-44-44-422-2-4-24-22-2-442-2-42200000000000000-22-220000000000000000000000004i−4i00000000000000000000−2i2i000000000000
χ744-44-44-2400-44-44-422-2-4-24-22-2-442-2-42200000000000000-22-22000000000000000000000000−4i4i000000000000000000002i−2i000000000000
χ754-44-4-244002-2-44-4-4-442-2-242-22-2-442-42000000000022−2222−22-22-2200000000−22−2222−2222−22−2−222−2−222000000000000000000000000000000000000
χ764-44-4-244002-2-44-4-4-442-2-242-22-2-442-420000000000−2222−2222-22-22000000002−22−2−2222−222222−2−222−2−2000000000000000000000000000000000000
χ774-44-4-24-2002-22-22-4-442-21-22-2-112-2-12200003i−3i00−3i3i22−2222−221-11-10000−3i3i3i−3i−22−22−22−22ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23000000000000000000000000000000000000
χ784-44-4-24-2002-22-22-4-442-21-22-2-112-2-12200003i−3i00−3i3i−2222−22221-11-10000−3i3i3i−3i2−22−22−22−2−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23000000000000000000000000000000000000
χ794-44-4-24-2002-22-22-4-442-21-22-2-112-2-1220000−3i3i003i−3i22−2222−221-11-100003i−3i−3i3i−22−22−22−22−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23000000000000000000000000000000000000
χ804-44-4-24-2002-22-22-4-442-21-22-2-112-2-1220000−3i3i003i−3i−2222−22221-11-100003i−3i−3i3i2−22−22−22−22ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23000000000000000000000000000000000000
χ814-4-4444-2-44-4-422-24-4-444-2-2-4-42222-2-24-2-444-2-22-4220000-222-22-2-4422-2-20000000000000000000000000000000000000000000000000000
χ824-4-444-244-4-4-4-4-44-2224-24-222-4-4224-2-2-4-22-4-4-444440000-222-2-22-22-2-2220000000000000000000000000000000000000000000000000000
χ834-4-444-24-44-4-4-4-44-2224-24-222-4-4224-2-242-2444-4-4-4-40000-222-22-22-222-2-20000000000000000000000000000000000000000000000000000
χ844-4-444-2-24-4-4-422-2-2224-2-212222-1-1-21-22-22-422-24-2-200001-1-111-1-2211-1-1000000000000000000000000−2i32i3i3−i3i3−i30000000000000000000000
χ854-4-444-2-24-4-4-422-2-2224-2-212222-1-1-21-22-22-422-24-2-200001-1-111-1-2211-1-10000000000000000000000002i3−2i3−i3i3−i3i30000000000000000000000
χ864-4-444-2-2-44-4-422-2-2224-2-212222-1-1-21-2-22-24-2-22-42200001-1-11-112-2-1-111000000000000000000000000003-3-330000000000000000000000
χ874-4-444-2-2-44-4-422-2-2224-2-212222-1-1-21-2-22-24-2-22-42200001-1-11-112-2-1-11100000000000000000000000000-333-30000000000000000000000
χ884-4-44-244-4422-4-444-4-4-2-2-242222-4-4-24-24-44-2-2-2-42220000-222-2-442-222-2-20000000000000000000000000000000000000000000000000000
χ894-4-44-24-24-42222-24-4-4-2-21-222-1-1221-2-224-42-1-1-2-2114-4-441-1-11-22-2211-1-1-222-2-222-211-1-1-1-111000000000000000000000000000000000000
χ904-4-44-24-24-42222-24-4-4-2-21-222-1-1221-2-224-42-1-1-2-211-444-41-1-11-22-2211-1-12-2-222-2-22-1-11111-1-1000000000000000000000000000000000000
χ914-4-44-24-2-442222-24-4-4-2-21-222-1-1221-2-2-2-44-21122-1-100001-1-112-22-2-1-111000000003i−3i−3i3i−3i3i3i−3i000000000000000000000000000000000000
χ924-4-44-24-2-442222-24-4-4-2-21-222-1-1221-2-2-2-44-21122-1-100001-1-112-22-2-1-11100000000−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000000000
χ934-4-44-2-244-422-4-44-222-21-2-2-1-12222-2-21-4-222224-2-2-200001-1-11-221-111-1-100000000000000000000000000000000−2i32i3i3−i3i3−i300000000000000
χ944-4-44-2-244-422-4-44-222-21-2-2-1-12222-2-21-4-222224-2-2-200001-1-11-221-111-1-1000000000000000000000000000000002i3−2i3−i3i3−i3i300000000000000
χ954-4-44-2-24-4422-4-44-222-21-2-2-1-12222-2-2142-2-2-2-2-422200001-1-112-2-11-1-11100000000000000000000000000000000003-3-3300000000000000
χ964-4-44-2-24-4422-4-44-222-21-2-2-1-12222-2-2142-2-2-2-2-422200001-1-112-2-11-1-1110000000000000000000000000000000000-333-300000000000000
χ978888-4-4-488-4-4-4-4-4-4-4-4-4222222222222-4-4-4-422-4-4220000-1-1-1-12222-1-1-1-10000000000000000000000000000000000000000000000000000
χ988888-4-4-4-8-8-4-4-4-4-4-4-4-4-42222222222224444-2-244-2-20000-1-1-1-1-2-2-2-211110000000000000000000000000000000000000000000000000000
χ9988-8-88-4-4008-8-4444-44-8-4-42-44-442-24-240000000000000022-2-2000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-4800-448-8-84-4442-4-42-2-44-4444-20000000000000022-2-2000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4-400-44-4444-4442222-22-22-2-2-2-200006i−6i006i−6i0000-1-1110000−3i3i−3i3i0000000000000000000000000000000000000000000000000000
χ10288-8-8-4-4-400-44-4444-4442222-22-22-2-2-2-20000−6i6i00−6i6i0000-1-11100003i−3i3i−3i0000000000000000000000000000000000000000000000000000
χ1038-88-88-4-400-884-4444-4-8-4-424-44-4-224-24000000000000002-22-2000000000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-48004-4-88-844-442-4-4-224-44-444-2000000000000002-22-2000000000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-4-4004-44-4444-44222-22-22-22-2-2-200006i−6i00−6i6i0000-11-1100003i−3i−3i3i0000000000000000000000000000000000000000000000000000
χ1068-88-8-4-4-4004-44-4444-44222-22-22-22-2-2-20000−6i6i006i−6i0000-11-110000−3i3i3i−3i0000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-48-84444-4-444-4222-2-2-2-2-2-22224-444-2-2-4-4220000-111-12-22-2-1-1110000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-4-884444-4-444-4222-2-2-2-2-2-2222-44-4-42244-2-20000-111-1-22-2211-1-10000000000000000000000000000000000000000000000000000

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