Finite Group Databasebeta

← Group #13168107

Character table — Group #13168107

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111122222222222222444444444444444444444466668888888888889999121212121212121212121212121212121212121212121212121212121818181818182424242424242424242424243636363636365454545472727272
order1222333446666666663336666666661212121212121212121244443666121212121212121222222222666666661212121212121212121212121212121244666666666666666644441212444412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-111-1-11111-1-1-1-11111111111111111-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111
χ71111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-11111-1-111
χ81111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1111111-1-1
χ91111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111-11-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111111-11-111-1-111-1-11-11-1-1-111-1-11-11-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-11-11-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-11111-11-11-1-111-1-111-11-11-1-111-1-1-11-11
χ111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-11-1-1111-1-1-1-1111-1-1111-1-1111-1-11
χ121111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-111-1-1-11111-1-1-111-111-1-111-111-1
χ131111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-11-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111111-11-111-1-111-1-1-11-11-1-1-1-111-11-11
χ141111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-11-11-1-111-1-111-1-1-1-11111-1-1-1-11111-1-11111-11-11-1-111-1-1111-11-1-1-1-1-1111-11-1
χ151111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-11-1-1111-1-1-1-111-111-11111-1-1-111-1
χ161111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-111-1-1-11111-1-11-1-111111-1-11-1-11
χ17222222-122-1-12222-1222-1-1-1-1-1-12-1-122-1-1222222220000-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1000000000000000022-1-1-1-12222-1-1-1-1-1-1-1-10000-1-100000000
χ18222222-122-1-12222-1222-1-1-1-1-1-12-1-122-1-1222222220000-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-211111111000000000000000022-1-1-1-1-2-2-2-2111111110000-1-100000000
χ19222222-122-1-12222-1222-1-1-1-1-1-12-1-122-1-1222222220000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-2-1-1-1-111110000000000000000-2-2111122-2-2-1-1-1-1111100001100000000
χ20222222-122-1-12222-1222-1-1-1-1-1-12-1-122-1-1222222220000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2221111-1-1-1-10000000000000000-2-21111-2-2221111-1-1-1-100001100000000
χ21222222-1-2-2-1-12222-1222-1-1-1-1-1-12-1-12211-2-2-2-2-2-2-2-20000-1-1-1-11111111122222-22-2-1-111-1-1110000000000000000-2-2-1-1-1-12-22-2-1-111-1-11100001100000000
χ22222222-1-2-2-1-12222-1222-1-1-1-1-1-12-1-12211-2-2-2-2-2-2-2-20000-1-1-1-1111111112222-22-2211-1-111-1-10000000000000000-2-2-1-1-1-1-22-2211-1-111-1-100001100000000
χ23222222-1-2-2-1-12222-1222-1-1-1-1-1-12-1-12211-2-2-2-2-2-2-2-20000-1-1-1-111111111-2-2-2-22-2-22-1-11111-1-100000000000000002211112-2-22-1-11111-1-10000-1-100000000
χ24222222-1-2-2-1-12222-1222-1-1-1-1-1-12-1-12211-2-2-2-2-2-2-2-20000-1-1-1-111111111-2-2-2-2-222-211-1-1-1-1110000000000000000221111-222-211-1-1-1-1110000-1-100000000
χ2522222-12222222-1-122-1-12-122-1-1-12-1-1-12222-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-1000000220000222222-1-122-1-1-1-1-1-1-1-1-1-100000000-1-10000-1-1-1-1002200000000-1-1
χ2622222-12222222-1-122-1-12-122-1-1-12-1-1-12222-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-1000000-2-20000-2-2-2-222-1-122-1-1-1-1-1-1-1-1-1-100000000110000111100-2-20000000011
χ2722222-12222222-1-122-1-12-122-1-1-12-1-1-12222-1-1-1-1-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-10000002200002222-2-211-2-2111111111100000000-1-10000-1-1-1-100-2-20000000011
χ2822222-12222222-1-122-1-12-122-1-1-12-1-1-12222-1-1-1-1-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-1000000-2-20000-2-2-2-2-2-211-2-21111111111000000001100001111002200000000-1-1
χ2922222-12-2-22222-1-122-1-12-122-1-1-12-1-1-1-2-2-2-211111122-2-2-1-1-1-1-2-21111110000002-2000022-2-222-1-1-2-211-1-1-1-1111100000000-110000-1-111002-200000000-11
χ3022222-12-2-22222-1-122-1-12-122-1-1-12-1-1-1-2-2-2-211111122-2-2-1-1-1-1-2-2111111000000-220000-2-22222-1-1-2-211-1-1-1-11111000000001-1000011-1-100-22000000001-1
χ3122222-12-2-22222-1-122-1-12-122-1-1-12-1-1-1-2-2-2-2111111-2-222-1-1-1-1-2-21111110000002-2000022-2-2-2-21122-1-11111-1-1-1-100000000-110000-1-11100-22000000001-1
χ3222222-12-2-22222-1-122-1-12-122-1-1-12-1-1-1-2-2-2-2111111-2-222-1-1-1-1-2-2111111000000-220000-2-222-2-21122-1-11111-1-1-1-1000000001-1000011-1-1002-200000000-11
χ332222-1222222-1-1222-12-1-12-1-122-1-12-1-122-1-122-1-1-1-12222-1-1-1-1-1-122-1-1-1-10000220022220000-1-122-1-122-1-1-1-1-1-1-1-1000000-1-100-1-1-1-100002200000000-1-100
χ342222-1222222-1-1222-12-1-12-1-122-1-12-1-122-1-122-1-1-1-12222-1-1-1-1-1-122-1-1-1-10000-2-200-2-2-2-20000-1-122-1-122-1-1-1-1-1-1-1-1000000110011110000-2-2000000001100
χ352222-1222222-1-1222-12-1-12-1-122-1-12-1-122-1-122-1-1-1-1-2-2-2-2-1-1-1-1-1-122-1-1-1-1000022002222000011-2-211-2-211111111000000-1-100-1-1-1-10000-2-2000000001100
χ362222-1222222-1-1222-12-1-12-1-122-1-12-1-122-1-122-1-1-1-1-2-2-2-2-1-1-1-1-1-122-1-1-1-10000-2-200-2-2-2-2000011-2-211-2-2111111110000001100111100002200000000-1-100
χ372222-122-2-222-1-1222-12-1-12-1-122-1-12-1-1-2-211-2-2111122-2-2-1-1-1-111-2-2111100002-20022-2-20000-1-12211-2-2-1-1-1-11111000000-1100-1-11100002-200000000-1100
χ382222-122-2-222-1-1222-12-1-12-1-122-1-12-1-1-2-211-2-2111122-2-2-1-1-1-111-2-211110000-2200-2-2220000-1-12211-2-2-1-1-1-111110000001-10011-1-10000-22000000001-100
χ392222-122-2-222-1-1222-12-1-12-1-122-1-12-1-1-2-211-2-21111-2-222-1-1-1-111-2-2111100002-20022-2-2000011-2-2-1-1221111-1-1-1-1000000-1100-1-1110000-22000000001-100
χ402222-122-2-222-1-1222-12-1-12-1-122-1-12-1-1-2-211-2-21111-2-222-1-1-1-111-2-211110000-2200-2-222000011-2-2-1-1221111-1-1-1-10000001-10011-1-100002-200000000-1100
χ4122-2-2222002-22-22-2-2-2-22222-22-2-2-2-22-20000000000002i−2i22-2-20000000022-2-200000000000000002i−2i2i−2i00002i2i−2i−2i0022-2-2000000000000000000002i−2i0000
χ4222-2-2222002-22-22-2-2-2-22222-22-2-2-2-22-20000000000002i−2i22-2-200000000-2-22200000000000000002i−2i2i−2i00002i2i−2i−2i00-2-22200000000000000000000−2i2i0000
χ4322-2-2222002-22-22-2-2-2-22222-22-2-2-2-22-2000000000000−2i2i22-2-20000000022-2-20000000000000000−2i2i−2i2i0000−2i−2i2i2i0022-2-200000000000000000000−2i2i0000
χ4422-2-2222002-22-22-2-2-2-22222-22-2-2-2-22-2000000000000−2i2i22-2-200000000-2-2220000000000000000−2i2i−2i2i0000−2i−2i2i2i00-2-222000000000000000000002i−2i0000
χ452-22-222200-22-22-22-2-2-2222-22-22-2-2-2-2200000000002i−2i002-22-2000000002-22-20000000000002i−2i2i−2i00002i2i−2i−2i0000002-22-20000000000000000002i−2i000000
χ462-22-222200-22-22-22-2-2-2222-22-22-2-2-2-2200000000002i−2i002-22-200000000-22-220000000000002i−2i2i−2i00002i2i−2i−2i000000-22-22000000000000000000−2i2i000000
χ472-22-222200-22-22-22-2-2-2222-22-22-2-2-2-220000000000−2i2i002-22-2000000002-22-2000000000000−2i2i−2i2i0000−2i−2i2i2i0000002-22-2000000000000000000−2i2i000000
χ482-22-222200-22-22-22-2-2-2222-22-22-2-2-2-220000000000−2i2i002-22-200000000-22-22000000000000−2i2i−2i2i0000−2i−2i2i2i000000-22-220000000000000000002i−2i000000
χ492-2-222222-2-2-2-2-2-2-2222222-2-2-2-2222-2-22-22-22-222-2-200002-2-222-22-222-2-22-2-2200000000000000000000000000002-22-2-2200000000000000002-200000000
χ502-2-222222-2-2-2-2-2-2-2222222-2-2-2-2222-2-22-22-22-222-2-200002-2-222-22-222-2-2-222-20000000000000000000000000000-22-222-20000000000000000-2200000000
χ512-2-22222-22-2-2-2-2-2-2222222-2-2-2-2222-2-2-22-22-22-2-22200002-2-22-22-22-2-2222-2-220000000000000000000000000000-222-2-220000000000000000-2200000000
χ522-2-22222-22-2-2-2-2-2-2222222-2-2-2-2222-2-2-22-22-22-2-22200002-2-22-22-22-2-222-222-200000000000000000000000000002-2-222-200000000000000002-200000000
χ532-2-2222-12-211-2-2-2-2-1222-1-111112-1-1-2-2-112-22-222-2-20000-111-1-11-11-1-1112-2-220000−i3i3−i3i3−i3i3−i3i300000000000000002-2-111-10000−i3i3−i3i3−i3i3−i3i30000-1100000000
χ542-2-2222-12-211-2-2-2-2-1222-1-111112-1-1-2-2-112-22-222-2-20000-111-1-11-11-1-1112-2-220000i3−i3i3−i3i3−i3i3−i300000000000000002-2-111-10000i3−i3i3−i3i3−i3i3−i30000-1100000000
χ552-2-2222-12-211-2-2-2-2-1222-1-111112-1-1-2-2-112-22-222-2-20000-111-1-11-11-1-111-222-20000−i3i3−i3i3i3−i3i3−i30000000000000000-221-1-110000−i3i3−i3i3i3−i3i3−i300001-100000000
χ562-2-2222-12-211-2-2-2-2-1222-1-111112-1-1-2-2-112-22-222-2-20000-111-1-11-11-1-111-222-20000i3−i3i3−i3−i3i3−i3i30000000000000000-221-1-110000i3−i3i3−i3−i3i3−i3i300001-100000000
χ572-2-2222-1-2211-2-2-2-2-1222-1-111112-1-1-2-21-1-22-22-2-2220000-111-11-11-111-1-12-2-220000−i3i3i3−i3−i3i3i3−i30000000000000000-22-111-10000−i3i3i3−i3−i3i3i3−i300001-100000000
χ582-2-2222-1-2211-2-2-2-2-1222-1-111112-1-1-2-21-1-22-22-2-2220000-111-11-11-111-1-12-2-220000i3−i3−i3i3i3−i3−i3i30000000000000000-22-111-10000i3−i3−i3i3i3−i3−i3i300001-100000000
χ592-2-2222-1-2211-2-2-2-2-1222-1-111112-1-1-2-21-1-22-22-2-2220000-111-11-11-111-1-1-222-20000−i3i3i3−i3i3−i3−i3i300000000000000002-21-1-110000−i3i3i3−i3i3−i3−i3i30000-1100000000
χ602-2-2222-1-2211-2-2-2-2-1222-1-111112-1-1-2-21-1-22-22-2-2220000-111-11-11-111-1-1-222-20000i3−i3−i3i3−i3i3i3−i300000000000000002-21-1-110000i3−i3−i3i3−i3i3i3−i30000-1100000000
χ6144444-2-244-2-244-2-2-24-2-2-21-2-211-2-21-2-2-2-244-2-2-2-2-2-200001111-2-2111111000000440000-2-2-2-2000000000000000000000000-2-20000111100000000000000
χ6244444-2-244-2-244-2-2-24-2-2-21-2-211-2-21-2-2-2-244-2-2-2-2-2-200001111-2-2111111000000-4-400002222000000000000000000000000220000-1-1-1-100000000000000
χ6344444-2-2-4-4-2-244-2-2-24-2-2-21-2-211-2-21-2-222-4-42222220000111122-1-1-1-1-1-10000004-40000-2-222000000000000000000000000-22000011-1-100000000000000
χ6444444-2-2-4-4-2-244-2-2-24-2-2-21-2-211-2-21-2-222-4-42222220000111122-1-1-1-1-1-1000000-44000022-2-20000000000000000000000002-20000-1-11100000000000000
χ654444-24-244-2-2-2-244-2-24-21-211-2-2-21-2-2-2-2-2-2-244-2-2-2-20000111111-2-2111100004400-2-2-2-200000000000000000000000000-2-2001111000000000000000000
χ664444-24-244-2-2-2-244-2-24-21-211-2-2-21-2-2-2-2-2-2-244-2-2-2-20000111111-2-211110000-4-4002222000000000000000000000000002200-1-1-1-1000000000000000000
χ674444-24-2-4-4-2-2-2-244-2-24-21-211-2-2-21-2-2-22222-4-4222200001111-1-122-1-1-1-100004-400-2-22200000000000000000000000000-220011-1-1000000000000000000
χ684444-24-2-4-4-2-2-2-244-2-24-21-211-2-2-21-2-2-22222-4-4222200001111-1-122-1-1-1-10000-440022-2-2000000000000000000000000002-200-1-111000000000000000000
χ694444-2-244444-2-2-2-24-2-21-2-2-2-2-2-21-2-21144-2-2-2-2111144441111-2-2-2-211110000000000000000-2-2-2-2-2-2-2-21111111100000000000000000000000000000000
χ704444-2-244444-2-2-2-24-2-21-2-2-2-2-2-21-2-21144-2-2-2-21111-4-4-4-41111-2-2-2-21111000000000000000022222222-1-1-1-1-1-1-1-100000000000000000000000000000000
χ714444-2-24-4-444-2-2-2-24-2-21-2-2-2-2-2-21-2-211-4-42222-1-1-1-144-4-411112222-1-1-1-10000000000000000-2-2-2-222221111-1-1-1-100000000000000000000000000000000
χ724444-2-24-4-444-2-2-2-24-2-21-2-2-2-2-2-21-2-211-4-42222-1-1-1-1-4-44411112222-1-1-1-100000000000000002222-2-2-2-2-1-1-1-1111100000000000000000000000000000000
χ7344-4-444-200-224-44-42-4-44-2-2-22-22-4224-400000000000000-2-2220000000044-4-4000000000000000000000000000000-2-22200000000000000000000000000
χ7444-4-444-200-224-44-42-4-44-2-2-22-22-4224-400000000000000-2-22200000000-4-44400000000000000000000000000000022-2-200000000000000000000000000
χ7544-4-44-24004-44-4-22-4-42-24-24-4-222-42-220000000000004i−4i-2-22200000000000000000000000000004i−4i−2i2i0000−2i−2i2i2i00000000000000000000000000000000
χ7644-4-44-24004-44-4-22-4-42-24-24-4-222-42-22000000000000−4i4i-2-2220000000000000000000000000000−4i4i2i−2i00002i2i−2i−2i00000000000000000000000000000000
χ7744-4-4-244004-4-224-4-42-4-2-24-224-422-4-220000000000004i−4i-2-2220000000000000000000000000000−2i2i4i−4i0000−2i−2i2i2i00000000000000000000000000000000
χ7844-4-4-244004-4-224-4-42-4-2-24-224-422-4-22000000000000−4i4i-2-22200000000000000000000000000002i−2i−4i4i00002i2i−2i−2i00000000000000000000000000000000
χ7944-4-4-2-24004-4-22-22-4221-2-2-22-22-1221-10000003i−3i3i−3i004i−4i11-1-100003i−3i3i−3i00000000000000000000−2i2i−2i2i3-33-3ii−i−i00000000000000000000000000000000
χ8044-4-4-2-24004-4-22-22-4221-2-2-22-22-1221-10000003i−3i3i−3i00−4i4i11-1-100003i−3i3i−3i000000000000000000002i−2i2i−2i-33-33−i−iii00000000000000000000000000000000
χ8144-4-4-2-24004-4-22-22-4221-2-2-22-22-1221-1000000−3i3i−3i3i004i−4i11-1-10000−3i3i−3i3i00000000000000000000−2i2i−2i2i-33-33ii−i−i00000000000000000000000000000000
χ8244-4-4-2-24004-4-22-22-4221-2-2-22-22-1221-1000000−3i3i−3i3i00−4i4i11-1-10000−3i3i−3i3i000000000000000000002i−2i2i−2i3-33-3−i−iii00000000000000000000000000000000
χ834-44-444-2002-2-44-442-4-44-2-22-22-2-422-4400000000000000-22-22000000004-44-4000000000000000000000000000000-22-2200000000000000000000000000
χ844-44-444-2002-2-44-442-4-44-2-22-22-2-422-4400000000000000-22-2200000000-44-440000000000000000000000000000002-22-200000000000000000000000000
χ854-44-44-2400-44-442-2-4-42-24-2-442-22-422-200000000004i−4i00-22-220000000000000000000000004i−4i−2i2i0000−2i−2i2i2i000000000000000000000000000000000000
χ864-44-44-2400-44-442-2-4-42-24-2-442-22-422-20000000000−4i4i00-22-22000000000000000000000000−4i4i2i−2i00002i2i−2i−2i000000000000000000000000000000000000
χ874-44-4-24400-442-2-44-42-4-2-242-2-4422-42-200000000004i−4i00-22-22000000000000000000000000−2i2i4i−4i0000−2i−2i2i2i000000000000000000000000000000000000
χ884-44-4-24400-442-2-44-42-4-2-242-2-4422-42-20000000000−4i4i00-22-220000000000000000000000002i−2i−4i4i00002i2i−2i−2i000000000000000000000000000000000000
χ894-44-4-2-2400-442-22-2-4221-2-22-22-2-122-110000003i−3i−3i3i4i−4i001-11-100003i−3i−3i3i0000000000000000−2i2i−2i2i0000ii−i−i3-33-300000000000000000000000000000000
χ904-44-4-2-2400-442-22-2-4221-2-22-22-2-122-110000003i−3i−3i3i−4i4i001-11-100003i−3i−3i3i00000000000000002i−2i2i−2i0000−i−iii-33-3300000000000000000000000000000000
χ914-44-4-2-2400-442-22-2-4221-2-22-22-2-122-11000000−3i3i3i−3i4i−4i001-11-10000−3i3i3i−3i0000000000000000−2i2i−2i2i0000ii−i−i-33-3300000000000000000000000000000000
χ924-44-4-2-2400-442-22-2-4221-2-22-22-2-122-11000000−3i3i3i−3i−4i4i001-11-10000−3i3i3i−3i00000000000000002i−2i2i−2i0000−i−iii3-33-300000000000000000000000000000000
χ934-4-444-244-4-4-4-4-42244-2-24-2-4-422-24-2224-44-4-22-2-2220000-222-24-4-22-2-2220000000000000000000000000000000000000000000000000000000000000000
χ944-4-444-24-44-4-4-4-42244-2-24-2-4-422-24-222-44-442-222-2-20000-222-2-442-222-2-20000000000000000000000000000000000000000000000000000000000000000
χ954-4-444-2-24-422-4-422-24-2-2-2122-1-1-2-2122-224-4-22-2-22200001-1-11-221-111-1-1000000000000−2i32i3−2i32i3000000000000000000000000000000i3−i3i3−i300000000000000
χ964-4-444-2-24-422-4-422-24-2-2-2122-1-1-2-2122-224-4-22-2-22200001-1-11-221-111-1-10000000000002i3−2i32i3−2i3000000000000000000000000000000−i3i3−i3i300000000000000
χ974-4-444-2-2-4422-4-422-24-2-2-2122-1-1-2-21222-2-442-222-2-200001-1-112-2-11-1-111000000000000−2i32i32i3−2i3000000000000000000000000000000i3−i3−i3i300000000000000
χ984-4-444-2-2-4422-4-422-24-2-2-2122-1-1-2-21222-2-442-222-2-200001-1-112-2-11-1-1110000000000002i3−2i3−2i32i3000000000000000000000000000000−i3i3i3−i300000000000000
χ994-4-44-2444-4-4-422-4-44-24-2-2422-4-4-2-24224-4-224-4-2-2220000-222-2-224-4-2-2220000000000000000000000000000000000000000000000000000000000000000
χ1004-4-44-244-44-4-422-4-44-24-2-2422-4-4-2-2422-442-2-4422-2-20000-222-22-2-4422-2-20000000000000000000000000000000000000000000000000000000000000000
χ1014-4-44-24-24-42222-4-4-2-24-21-2-1-122-21-222-22-224-4-2-22200001-1-111-1-2211-1-100000000−2i32i3−2i32i3000000000000000000000000000000i3−i3i3−i3000000000000000000
χ1024-4-44-24-24-42222-4-4-2-24-21-2-1-122-21-222-22-224-4-2-22200001-1-111-1-2211-1-1000000002i3−2i32i3−2i3000000000000000000000000000000−i3i3−i3i3000000000000000000
χ1034-4-44-24-2-442222-4-4-2-24-21-2-1-122-21-2222-22-2-4422-2-200001-1-11-112-2-1-11100000000−2i32i32i3−2i3000000000000000000000000000000i3−i3−i3i3000000000000000000
χ1044-4-44-24-2-442222-4-4-2-24-21-2-1-122-21-2222-22-2-4422-2-200001-1-11-112-2-1-111000000002i3−2i3−2i32i3000000000000000000000000000000−i3i3i3−i3000000000000000000
χ1054-4-44-2-244-4-4-422224-2-21-2-222221-2-2-1-14-4-22-2211-1-100001-1-11-22-2211-1-10000000000000000000000003i−3i−3i3i−3i3i3i−3i00000000000000000000000000000000
χ1064-4-44-2-244-4-4-422224-2-21-2-222221-2-2-1-14-4-22-2211-1-100001-1-11-22-2211-1-1000000000000000000000000−3i3i3i−3i3i−3i−3i3i00000000000000000000000000000000
χ1074-4-44-2-24-44-4-422224-2-21-2-222221-2-2-1-1-442-22-2-1-11100001-1-112-22-2-1-1110000000000000000000000003i−3i−3i3i3i−3i−3i3i00000000000000000000000000000000
χ1084-4-44-2-24-44-4-422224-2-21-2-222221-2-2-1-1-442-22-2-1-11100001-1-112-22-2-1-111000000000000000000000000−3i3i3i−3i−3i3i3i−3i00000000000000000000000000000000
χ1098888-4-4-488-4-4-4-4-4-4-4-4-4222222222222-4-4-4-4-4-422220000-1-1-1-12222-1-1-1-10000000000000000000000000000000000000000000000000000000000000000
χ1108888-4-4-4-8-8-4-4-4-4-4-4-4-4-4222222222222444444-2-2-2-20000-1-1-1-1-2-2-2-211110000000000000000000000000000000000000000000000000000000000000000
χ11188-8-88-4-400-448-8-444-84-4-42-442-244-2-440000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8-48-400-44-448-844-8-42-42-2-444-24-440000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ11388-8-8-4-4-400-44-44-444442222-22-2-2-2-22-20000006i−6i6i−6i0000-1-1110000−3i3i−3i3i0000000000000000000000000000000000000000000000000000000000000000
χ11488-8-8-4-4-400-44-44-444442222-22-2-2-2-22-2000000−6i6i−6i6i0000-1-11100003i−3i3i−3i0000000000000000000000000000000000000000000000000000000000000000
χ1158-88-88-4-4004-4-884-44-84-4-424-4-2244-24-4000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-88-8-48-4004-44-4-8844-8-42-4-224-44-244-4000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1178-88-8-4-4-4004-44-44-4444222-22-22-2-2-2-220000006i−6i−6i6i0000-11-110000−3i3i3i−3i0000000000000000000000000000000000000000000000000000000000000000
χ1188-88-8-4-4-4004-44-44-4444222-22-22-2-2-2-22000000−6i6i6i−6i0000-11-1100003i−3i−3i3i0000000000000000000000000000000000000000000000000000000000000000
χ1198-8-88-4-4-48-8444444-4-4-4222-2-2-2-2222-2-2-44-44-4422-2-20000-111-12-22-2-1-1110000000000000000000000000000000000000000000000000000000000000000
χ1208-8-88-4-4-4-88444444-4-4-4222-2-2-2-2222-2-24-44-44-4-2-2220000-111-1-22-2211-1-10000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).