Finite Group Databasebeta

← Group #13168756

Character table — Group #13168756

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size11112222222222222222224444444444444444444444446666666666666666666666668888888888999912121212121212121212121212121212121212121212121212121818181818181818181824242424242424243636363672727272108108
order12223334466666666612121212333666666666121212121212121212121212224444446666121212121212121212121212366612121212121244442466666612121212121212121212121212121212121244121212121212121266661212121244441212121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111-11-11-1-11-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-111
χ51111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-111-1-1-1
χ61111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1-1111
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1
χ91111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1111111-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-11-111-1
χ101111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1111-11-1-11
χ111111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-11-1-111-11
χ121111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111-111-1-11-1
χ131111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-111-111-1-1-11
χ141111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111-1-11-1-1111-1
χ151111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-111-1-111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1111-11-11-1
χ161111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-11-11-11
χ17222222-122-122-12222-122222-1-1-1-1-12-122-1-122-1-12222-1-1-1-1222200002222222200000000-1-1-1-1-1-1-1-1-1-1000022-1-1-1-1-1-10000-1-100000000-1-1-1-100000000002-1-1-1-12-1-12020-100-100
χ18222222-122-122-12222-122222-1-1-1-1-12-122-1-122-1-12222-1-1-1-1222200002222222200000000-1-1-1-1-1-1-1-1-1-10000-2-2-1-1-1-1-1-10000-1-100000000-1-1-1-10000000000-21111-211-20-20100100
χ19222222-122-122-12222-122222-1-1-1-1-12-122-1-122-1-12222-1-1-1-1-2-2-2-20000-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-100002211111100001100000000111100000000002-1-1-1-12-1-1-20-20100100
χ20222222-122-122-12222-122222-1-1-1-1-12-122-1-122-1-12222-1-1-1-1-2-2-2-20000-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-10000-2-21111110000110000000011110000000000-21111-2112020-100-100
χ21222222-1-2-2-122-12222-1-2-2-2-22-1-1-1-1-12-122-1-1-2-211-2-2-2-2111122-2-200002222-2-2-2-200000000-1-1-1-111111100002-2-1-1-1-1-1-100001100000000111100000000002-1-1-11-21120-20100-100
χ22222222-1-2-2-122-12222-1-2-2-2-22-1-1-1-1-12-122-1-1-2-211-2-2-2-2111122-2-200002222-2-2-2-200000000-1-1-1-11111110000-22-1-1-1-1-1-10000110000000011110000000000-2111-12-1-1-2020-100100
χ23222222-1-2-2-122-12222-1-2-2-2-22-1-1-1-1-12-122-1-1-2-211-2-2-2-21111-2-2220000-2-2-2-2222200000000-1-1-1-111111100002-21111110000-1-100000000-1-1-1-100000000002-1-1-11-211-2020-100100
χ24222222-1-2-2-122-12222-1-2-2-2-22-1-1-1-1-12-122-1-1-2-211-2-2-2-21111-2-2220000-2-2-2-2222200000000-1-1-1-11111110000-221111110000-1-100000000-1-1-1-10000000000-2111-12-1-120-20100-100
χ2522222-122222-12-122-122222-12-122-1-1-1-1-1-12-1-122-1-1-1-12222000022220000000022222222-1-1-1-1-1-1-1-1-1-1000022000000-1-1-1-100-1-1-1-1-1-1-1-100000000000000-12-1-12-1-1-102020-1-1000
χ2622222-122222-12-122-122222-12-122-1-1-1-1-1-12-1-122-1-1-1-12222000022220000000022222222-1-1-1-1-1-1-1-1-1-10000-2-2000000-1-1-1-100-1-1-1-1-1-1-1-1000000000000001-211-21110-20-2011000
χ2722222-122222-12-122-122222-12-122-1-1-1-1-1-12-1-122-1-1-1-122220000-2-2-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-10000220000001111001111111100000000000000-12-1-12-1-1-10-20-2011000
χ2822222-122222-12-122-122222-12-122-1-1-1-1-1-12-1-122-1-1-1-122220000-2-2-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-10000-2-200000011110011111111000000000000001-211-211102020-1-1000
χ2922222-12-2-222-12-122-12-2-2-2-2-12-122-1-1-1-1-1-1211-2-21111-2-2-2-2000022-2-2000000002222-2-2-2-2-1-1-1-111111100002-200000011-1-100-1-1-1-1111100000000000000-12-1-1-2111020-20-11000
χ3022222-12-2-222-12-122-12-2-2-2-2-12-122-1-1-1-1-1-1211-2-21111-2-2-2-2000022-2-2000000002222-2-2-2-2-1-1-1-11111110000-2200000011-1-100-1-1-1-11111000000000000001-2112-1-1-10-20201-1000
χ3122222-12-2-222-12-122-12-2-2-2-2-12-122-1-1-1-1-1-1211-2-21111-2-2-2-20000-2-22200000000-2-2-2-22222-1-1-1-111111100002-2000000-1-111001111-1-1-1-100000000000000-12-1-1-21110-20201-1000
χ3222222-12-2-222-12-122-12-2-2-2-2-12-122-1-1-1-1-1-1211-2-21111-2-2-2-20000-2-22200000000-2-2-2-22222-1-1-1-11111110000-22000000-1-111001111-1-1-1-1000000000000001-2112-1-1-1020-20-11000
χ332222-122222-1222-1-122-1-1-1-1-1-12-1-12-12-1-12-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122220022-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000000000000000
χ342222-122222-1222-1-122-1-1-1-1-1-12-1-12-12-1-12-12222-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-111111111-1-1-1-122-1-1-1-1-2-2-2-20022-1-1-1-1-2-2-2-22211111111-1-1-1-1-2-211111111000000000000000000
χ352222-122222-1222-1-122-1-1-1-1-1-12-1-12-12-1-12-12222-1-1-1-1-1-1-1-1-2-2-2-2222211111111-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-200-2-211112222-2-2-1-1-1-1-1-1-1-11111-2-211111111000000000000000000
χ362222-122222-1222-1-122-1-1-1-1-1-12-1-12-12-1-12-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111-1-1-1-122-1-1-1-1222200-2-21111-2-2-2-2-2-211111111111122-1-1-1-1-1-1-1-1000000000000000000
χ372222-122-2-22-1222-1-1221111-1-12-1-12-12-1-12-1-2-2-2-21111111122-2-222-2-2-1-1-1-11111-1-1-1-11111-1-1-1-1-2-21111-2-2-2-20022-1-1-1-1-2-222-2-2-1-1-1-11111111122-1-1-1-11111000000000000000000
χ382222-122-2-22-1222-1-1221111-1-12-1-12-12-1-12-1-2-2-2-21111111122-2-2-2-222-1-1-1-111111111-1-1-1-1-1-1-1-1-2-2111122220022-1-1-1-122-2-2-2-21111-1-1-1-11111-2-21111-1-1-1-1000000000000000000
χ392222-122-2-22-1222-1-1221111-1-12-1-12-12-1-12-1-2-2-2-211111111-2-22222-2-21111-1-1-1-1-1-1-1-11111-1-1-1-1-2-21111222200-2-21111-2-22222-1-1-1-11111-1-1-1-1-2-21111-1-1-1-1000000000000000000
χ402222-122-2-22-1222-1-1221111-1-12-1-12-12-1-12-1-2-2-2-211111111-2-222-2-2221111-1-1-1-11111-1-1-1-1-1-1-1-1-2-21111-2-2-2-200-2-2111122-2-2221111-1-1-1-1-1-1-1-122-1-1-1-11111000000000000000000
χ4122-2-222200-22-2-22-2-2-220000222-2-2-222-2-2-220000000000002-200002i−2i22-2-2000000002i2i−2i−2i2-2-220000002i2i−2i−2i002-222-2-22i−2i000000002i2i−2i−2i00000000002i2i−2i−2i000000000000000000
χ4222-2-222200-22-2-22-2-2-220000222-2-2-222-2-2-220000000000002-20000−2i2i22-2-200000000−2i−2i2i2i2-2-22000000−2i−2i2i2i002-222-2-2−2i2i00000000−2i−2i2i2i0000000000−2i−2i2i2i000000000000000000
χ4322-2-222200-22-2-22-2-2-220000222-2-2-222-2-2-22000000000000-2200002i−2i-2-222000000002i2i−2i−2i2-2-22000000−2i−2i2i2i00-22-2-2222i−2i000000002i2i−2i−2i0000000000−2i−2i2i2i000000000000000000
χ4422-2-222200-22-2-22-2-2-220000222-2-2-222-2-2-22000000000000-220000−2i2i-2-22200000000−2i−2i2i2i2-2-220000002i2i−2i−2i00-22-2-222−2i2i00000000−2i−2i2i2i00000000002i2i−2i−2i000000000000000000
χ4522-2-2-12200-2-1-2-2211-22−i3−i3i3i3-1-1211-2-1211-2-10000−i3−i3i3i3−i3−i3i3i32-200002i−2i-1-111−i3−i3i3i333−3−3−i−iii-111-100−i3−i3i3i32i2i−2i−2i002-2-1-1112i−2i000033−3−3−i−iii−i3−i3i3i30033−3−3−i−iii000000000000000000
χ4622-2-2-12200-2-1-2-2211-22−i3−i3i3i3-1-1211-2-1211-2-10000−i3−i3i3i3−i3−i3i3i32-20000−2i2i-1-111−i3−i3i3i3−3−333ii−i−i-111-100−i3−i3i3i3−2i−2i2i2i002-2-1-111−2i2i0000−3−333ii−i−i−i3−i3i3i300−3−333ii−i−i000000000000000000
χ4722-2-2-12200-2-1-2-2211-22−i3−i3i3i3-1-1211-2-1211-2-10000−i3−i3i3i3−i3−i3i3i3-2200002i−2i11-1-1i3i3−i3−i333−3−3−i−iii-111-100−i3−i3i3i3−2i−2i2i2i00-2211-1-12i−2i000033−3−3−i−iiii3i3−i3−i300−3−333ii−i−i000000000000000000
χ4822-2-2-12200-2-1-2-2211-22−i3−i3i3i3-1-1211-2-1211-2-10000−i3−i3i3i3−i3−i3i3i3-220000−2i2i11-1-1i3i3−i3−i3−3−333ii−i−i-111-100−i3−i3i3i32i2i−2i−2i00-2211-1-1−2i2i0000−3−333ii−i−ii3i3−i3−i30033−3−3−i−iii000000000000000000
χ4922-2-2-12200-2-1-2-2211-22i3i3−i3−i3-1-1211-2-1211-2-10000i3i3−i3−i3i3i3−i3−i32-200002i−2i-1-111i3i3−i3−i3−3−333−i−iii-111-100i3i3−i3−i32i2i−2i−2i002-2-1-1112i−2i0000−3−333−i−iiii3i3−i3−i300−3−333−i−iii000000000000000000
χ5022-2-2-12200-2-1-2-2211-22i3i3−i3−i3-1-1211-2-1211-2-10000i3i3−i3−i3i3i3−i3−i32-20000−2i2i-1-111i3i3−i3−i333−3−3ii−i−i-111-100i3i3−i3−i3−2i−2i2i2i002-2-1-111−2i2i000033−3−3ii−i−ii3i3−i3−i30033−3−3ii−i−i000000000000000000
χ5122-2-2-12200-2-1-2-2211-22i3i3−i3−i3-1-1211-2-1211-2-10000i3i3−i3−i3i3i3−i3−i3-2200002i−2i11-1-1−i3−i3i3i3−3−333−i−iii-111-100i3i3−i3−i3−2i−2i2i2i00-2211-1-12i−2i0000−3−333−i−iii−i3−i3i3i30033−3−3ii−i−i000000000000000000
χ5222-2-2-12200-2-1-2-2211-22i3i3−i3−i3-1-1211-2-1211-2-10000i3i3−i3−i3i3i3−i3−i3-220000−2i2i11-1-1−i3−i3i3i333−3−3ii−i−i-111-100i3i3−i3−i32i2i−2i−2i00-2211-1-1−2i2i000033−3−3ii−i−i−i3−i3i3i300−3−333−i−iii000000000000000000
χ532-22-22222i−2i-2-2-22-22-22-22i−2i2i−2i2222-22-2-22-2-2-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i00000000000000000000000022-2-22i−2i2i−2i2i−2i2i−2i2i−2i000000000000000000000000002-22-22-22i−2i2i−2i000000000000000000
χ542-22-22222i−2i-2-2-22-22-22-22i−2i2i−2i2222-22-2-22-2-2-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i00000000000000000000000022-2-22i−2i2i−2i2i−2i−2i2i−2i2i00000000000000000000000000-22-22-22−2i2i−2i2i000000000000000000
χ552-22-2222−2i2i-2-2-22-22-22-2−2i2i−2i2i2222-22-2-22-2-2-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i00000000000000000000000022-2-2−2i2i−2i2i−2i2i2i−2i2i−2i00000000000000000000000000-22-22-222i−2i2i−2i000000000000000000
χ562-22-2222−2i2i-2-2-22-22-22-2−2i2i−2i2i2222-22-2-22-2-2-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i00000000000000000000000022-2-2−2i2i−2i2i−2i2i−2i2i−2i2i000000000000000000000000002-22-22-2−2i2i−2i2i000000000000000000
χ572-22-2-1222i−2i-21-22-2-112-2−ii−ii-1-12-1121-2-11-212i−2i2i−2i−ii−ii−ii−ii00000000−i3i3−i3i33−33−3−i3i3−i3i33−33−3-1-1112i−2i−ii−ii2i−2i2i−2i0000−i3i3−i3i3000000−i3i3−i3i33−33−33−33−32-2-11-11−ii−ii000000000000000000
χ582-22-2-1222i−2i-21-22-2-112-2−ii−ii-1-12-1121-2-11-212i−2i2i−2i−ii−ii−ii−ii00000000−i3i3−i3i33−33−3i3−i3i3−i3−33−33-1-1112i−2i−ii−ii−2i2i−2i2i0000−i3i3−i3i3000000i3−i3i3−i3−33−333−33−3-221-11-1i−ii−i000000000000000000
χ592-22-2-1222i−2i-21-22-2-112-2−ii−ii-1-12-1121-2-11-212i−2i2i−2i−ii−ii−ii−ii00000000i3−i3i3−i3−33−33−i3i3−i3i33−33−3-1-1112i−2i−ii−ii−2i2i−2i2i0000i3−i3i3−i3000000−i3i3−i3i33−33−3−33−33-221-11-1i−ii−i000000000000000000
χ602-22-2-1222i−2i-21-22-2-112-2−ii−ii-1-12-1121-2-11-212i−2i2i−2i−ii−ii−ii−ii00000000i3−i3i3−i3−33−33i3−i3i3−i3−33−33-1-1112i−2i−ii−ii2i−2i2i−2i0000i3−i3i3−i3000000i3−i3i3−i3−33−33−33−332-2-11-11−ii−ii000000000000000000
χ612-22-2-122−2i2i-21-22-2-112-2i−ii−i-1-12-1121-2-11-21−2i2i−2i2ii−ii−ii−ii−i00000000−i3i3−i3i3−33−33−i3i3−i3i3−33−33-1-111−2i2ii−ii−i−2i2i−2i2i0000−i3i3−i3i3000000−i3i3−i3i3−33−33−33−332-2-11-11i−ii−i000000000000000000
χ622-22-2-122−2i2i-21-22-2-112-2i−ii−i-1-12-1121-2-11-21−2i2i−2i2ii−ii−ii−ii−i00000000−i3i3−i3i3−33−33i3−i3i3−i33−33−3-1-111−2i2ii−ii−i2i−2i2i−2i0000−i3i3−i3i3000000i3−i3i3−i33−33−3−33−33-221-11-1−ii−ii000000000000000000
χ632-22-2-122−2i2i-21-22-2-112-2i−ii−i-1-12-1121-2-11-21−2i2i−2i2ii−ii−ii−ii−i00000000i3−i3i3−i33−33−3−i3i3−i3i3−33−33-1-111−2i2ii−ii−i2i−2i2i−2i0000i3−i3i3−i3000000−i3i3−i3i3−33−333−33−3-221-11-1−ii−ii000000000000000000
χ642-22-2-122−2i2i-21-22-2-112-2i−ii−i-1-12-1121-2-11-21−2i2i−2i2ii−ii−ii−ii−i00000000i3−i3i3−i33−33−3i3−i3i3−i33−33−3-1-111−2i2ii−ii−i−2i2i−2i2i0000i3−i3i3−i3000000i3−i3i3−i33−33−33−33−32-2-11-11i−ii−i000000000000000000
χ652-2-22222002-22-2-2-22-2-20000222-22-2-2-2-222-2000000000000002i−2i2i−2i0000002i−2i−2i2i2i−2i−2i2i00002-22-2000000-222-200000000002i−2i2i−2i2i−2i−2i2i00002i−2i−2i2i000000-222-2000000000000000000
χ662-2-22222002-22-2-2-22-2-20000222-22-2-2-2-222-2000000000000002i−2i−2i2i0000002i−2i−2i2i−2i2i2i−2i00002-22-20000002-2-220000000000−2i2i2i−2i−2i2i2i−2i00002i−2i−2i2i0000002-2-22000000000000000000
χ672-2-22222002-22-2-2-22-2-20000222-22-2-2-2-222-200000000000000−2i2i2i−2i000000−2i2i2i−2i2i−2i−2i2i00002-22-20000002-2-2200000000002i−2i−2i2i2i−2i−2i2i0000−2i2i2i−2i0000002-2-22000000000000000000
χ682-2-22222002-22-2-2-22-2-20000222-22-2-2-2-222-200000000000000−2i2i−2i2i000000−2i2i2i−2i−2i2i2i−2i00002-22-2000000-222-20000000000−2i2i−2i2i−2i2i2i−2i0000−2i2i2i−2i000000-222-2000000000000000000
χ692-2-22-12200212-2-21-1-2-23−3−33-1-121-1-21-21-12100003−3−333−3−33002i−2i2i−2i00−i3i3i3−i3−iii−i−iii−ii3−i3−i3i3-11-11003−3−33-222-20000−i3i3i3−i3002i−2i2i−2i−iii−ii3−i3−i3i3−iii−i003−3−331-1-11000000000000000000
χ702-2-22-12200212-2-21-1-2-23−3−33-1-121-1-21-21-12100003−3−333−3−33002i−2i−2i2i00−i3i3i3−i3−iii−ii−i−ii−i3i3i3−i3-11-11003−3−332-2-220000−i3i3i3−i300−2i2i2i−2ii−i−ii−i3i3i3−i3−iii−i00−333−3-111-1000000000000000000
χ712-2-22-12200212-2-21-1-2-23−3−33-1-121-1-21-21-12100003−3−333−3−3300−2i2i2i−2i00i3−i3−i3i3i−i−ii−iii−ii3−i3−i3i3-11-11003−3−332-2-220000i3−i3−i3i3002i−2i−2i2i−iii−ii3−i3−i3i3i−i−ii00−333−3-111-1000000000000000000
χ722-2-22-12200212-2-21-1-2-23−3−33-1-121-1-21-21-12100003−3−333−3−3300−2i2i−2i2i00i3−i3−i3i3i−i−iii−i−ii−i3i3i3−i3-11-11003−3−33-222-20000i3−i3−i3i300−2i2i−2i2ii−i−ii−i3i3i3−i3i−i−ii003−3−331-1-11000000000000000000
χ732-2-22-12200212-2-21-1-2-2−333−3-1-121-1-21-21-1210000−333−3−333−3002i−2i2i−2i00i3−i3−i3i3−iii−i−iii−i−i3i3i3−i3-11-1100−333−3-222-20000i3−i3−i3i3002i−2i2i−2i−iii−i−i3i3i3−i3−iii−i00−333−31-1-11000000000000000000
χ742-2-22-12200212-2-21-1-2-2−333−3-1-121-1-21-21-1210000−333−3−333−3002i−2i−2i2i00i3−i3−i3i3−iii−ii−i−iii3−i3−i3i3-11-1100−333−32-2-220000i3−i3−i3i300−2i2i2i−2ii−i−iii3−i3−i3i3−iii−i003−3−33-111-1000000000000000000
χ752-2-22-12200212-2-21-1-2-2−333−3-1-121-1-21-21-1210000−333−3−333−300−2i2i2i−2i00−i3i3i3−i3i−i−ii−iii−i−i3i3i3−i3-11-1100−333−32-2-220000−i3i3i3−i3002i−2i−2i2i−iii−i−i3i3i3−i3i−i−ii003−3−33-111-1000000000000000000
χ762-2-22-12200212-2-21-1-2-2−333−3-1-121-1-21-21-1210000−333−3−333−300−2i2i−2i2i00−i3i3i3−i3i−i−iii−i−iii3−i3−i3i3-11-1100−333−3-222-20000−i3i3i3−i300−2i2i−2i2ii−i−iii3−i3−i3i3i−i−ii00−333−31-1-11000000000000000000
χ7744444-2-244-24-2-2-244-2-24444-2-21-2-21-21-2-21-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000011111111110000440000000000000000000000000000000000-2-211-2-2110000000000
χ7844444-2-244-24-2-2-244-2-24444-2-21-2-21-21-2-21-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000011111111110000-4-4000000000000000000000000000000000022-1-122-1-10000000000
χ7944444-2-2-4-4-24-2-2-244-2-2-4-4-4-4-2-21-2-21-21-2-21-22222222222220000000000000000000000001111-1-1-1-1-1-100004-40000000000000000000000000000000000-2-21122-1-10000000000
χ8044444-2-2-4-4-24-2-2-244-2-2-4-4-4-4-2-21-2-21-21-2-21-22222222222220000000000000000000000001111-1-1-1-1-1-10000-44000000000000000000000000000000000022-1-1-2-2110000000000
χ814444-24-244-2-24-24-2-24-2-2-2-2-2-21-211-2-2-2-2-2-2144-2-2-2-2-2-2111144440000-2-2-2-2-2-2-2-2000000001111-2-21111000000-2-211110000-2-20000000011110000000000000000000000000000
χ824444-24-244-2-24-24-2-24-2-2-2-2-2-21-211-2-2-2-2-2-2144-2-2-2-2-2-21111-4-4-4-4000022222222000000001111-2-2111100000022-1-1-1-100002200000000-1-1-1-10000000000000000000000000000
χ834444-24-2-4-4-2-24-24-2-24-22222-21-211-2-2-2-2-2-21-4-4222222-1-1-1-144-4-40000-2-2-2-2222200000000111122-1-1-1-1000000-2-2111100002200000000-1-1-1-10000000000000000000000000000
χ844444-24-2-4-4-2-24-24-2-24-22222-21-211-2-2-2-2-2-21-4-4222222-1-1-1-1-4-44400002222-2-2-2-200000000111122-1-1-1-100000022-1-1-1-10000-2-20000000011110000000000000000000000000000
χ854444-2-24444-2-24-2-2-2-24-2-2-2-21-2-2-2-2-21-211-2-2-2-2441111-2-2-2-20000444400000000-2-2-2-2-2-2-2-21111-2-21111000000000000-2-2-2-2001111111100000000000000000000000000000000
χ864444-2-24444-2-24-2-2-2-24-2-2-2-21-2-2-2-2-21-211-2-2-2-2441111-2-2-2-20000-4-4-4-400000000222222221111-2-21111000000000000222200-1-1-1-1-1-1-1-100000000000000000000000000000000
χ874444-2-24-4-44-2-24-2-2-2-2422221-2-2-2-2-21-211-2-222-4-4-1-1-1-12222000044-4-400000000-2-2-2-22222111122-1-1-1-100000000000022-2-2001111-1-1-1-100000000000000000000000000000000
χ884444-2-24-4-44-2-24-2-2-2-2422221-2-2-2-2-21-211-2-222-4-4-1-1-1-122220000-4-444000000002222-2-2-2-2111122-1-1-1-1000000000000-2-22200-1-1-1-1111100000000000000000000000000000000
χ8944-4-444-20024-424-4-4-4-200004-2-22224-2-4-42-20000000000004-400000044-4-4000000000000-222-2000000000000-22-2-2220000000000000000000000000000000000000000000000
χ9044-4-444-20024-424-4-4-4-200004-2-22224-2-4-42-2000000000000-44000000-4-444000000000000-222-20000000000002-222-2-20000000000000000000000000000000000000000000000
χ9144-4-44-2400-442-4-2-4-4240000-24-2-4-42-2-222240000000000000000004i−4i0000000000004i4i−4i−4i-222-2000000000000000000−2i2i00000000−2i−2i2i2i00000000000000000000000000000000
χ9244-4-44-2400-442-4-2-4-4240000-24-2-4-42-2-22224000000000000000000−4i4i000000000000−4i−4i4i4i-222-20000000000000000002i−2i000000002i2i−2i−2i00000000000000000000000000000000
χ9344-4-4-24-2002-2-42422-4-2−2i3−2i32i32i3-21-2-1-12-2-222210000−2i3−2i32i32i3i3i3−i3−i34-4000000-2-222−2i3−2i32i32i3000000001-1-1100i3i3−i3−i3000000-2211-1-100000000000000i3i3−i3−i30000000000000000000000000000
χ9444-4-4-24-2002-2-42422-4-2−2i3−2i32i32i3-21-2-1-12-2-222210000−2i3−2i32i32i3i3i3−i3−i3-4400000022-2-22i32i3−2i3−2i3000000001-1-1100i3i3−i3−i30000002-2-1-11100000000000000−i3−i3i3i30000000000000000000000000000
χ9544-4-4-24-2002-2-42422-4-22i32i3−2i3−2i3-21-2-1-12-2-2222100002i32i3−2i3−2i3−i3−i3i3i34-4000000-2-2222i32i3−2i3−2i3000000001-1-1100−i3−i3i3i3000000-2211-1-100000000000000−i3−i3i3i30000000000000000000000000000
χ9644-4-4-24-2002-2-42422-4-22i32i3−2i3−2i3-21-2-1-12-2-2222100002i32i3−2i3−2i3−i3−i3i3i3-4400000022-2-2−2i3−2i32i32i3000000001-1-1100−i3−i3i3i30000002-2-1-11100000000000000i3i3−i3−i30000000000000000000000000000
χ9744-4-4-2-2400-4-22-4-22224−2i3−2i32i32i31-2-22221-2-1-12-20000i3i3−i3−i3−2i3−2i32i32i30000004i−4i000000002323−23−23−2i−2i2i2i1-1-1100i3i3−i3−i3000000000000−2i2i0000−3−333ii−i−i00000000000000000000000000000000
χ9844-4-4-2-2400-4-22-4-22224−2i3−2i32i32i31-2-22221-2-1-12-20000i3i3−i3−i3−2i3−2i32i32i3000000−4i4i00000000−23−2323232i2i−2i−2i1-1-1100i3i3−i3−i30000000000002i−2i000033−3−3−i−iii00000000000000000000000000000000
χ9944-4-4-2-2400-4-22-4-222242i32i3−2i3−2i31-2-22221-2-1-12-20000−i3−i3i3i32i32i3−2i3−2i30000004i−4i00000000−23−232323−2i−2i2i2i1-1-1100−i3−i3i3i3000000000000−2i2i000033−3−3ii−i−i00000000000000000000000000000000
χ10044-4-4-2-2400-4-22-4-222242i32i3−2i3−2i31-2-22221-2-1-12-20000−i3−i3i3i32i32i3−2i3−2i3000000−4i4i000000002323−23−232i2i−2i−2i1-1-1100−i3−i3i3i30000000000002i−2i0000−3−333−i−iii00000000000000000000000000000000
χ1014-44-444-24i−4i2-4-4-2-44-4424i−4i4i−4i4-2-2-22-2-424-4224i−4i−2i2i4i−4i4i−4i−2i2i−2i2i000000000000000000000000-2-222−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000000000000000
χ1024-44-444-2−4i4i2-4-4-2-44-442−4i4i−4i4i4-2-2-22-2-424-422−4i4i2i−2i−4i4i−4i4i2i−2i2i−2i000000000000000000000000-2-2222i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000000000000000
χ1034-44-44-244i−4i-4-42424-4-2-44i−4i4i−4i-24-24-4-222-222-4−2i2i4i−4i−2i2i−2i2i4i−4i4i−4i000000000000000000000000-2-222−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000000000000000
χ1044-44-44-24−4i4i-4-42424-4-2-4−4i4i−4i4i-24-24-4-222-222-42i−2i−4i4i2i−2i2i−2i−4i4i−4i4i000000000000000000000000-2-2222i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000000000000000
χ1054-44-44-2-24i−4i2-42-224-4-224i−4i4i−4i-2-21-2212-1-22-12−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i00000000000000000000000011-1-1i−ii−ii−i0000000000000000000000000000000000000000003-3003i−3i0000000000
χ1064-44-44-2-24i−4i2-42-224-4-224i−4i4i−4i-2-21-2212-1-22-12−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i00000000000000000000000011-1-1i−ii−ii−i000000000000000000000000000000000000000000-3300−3i3i0000000000
χ1074-44-44-2-2−4i4i2-42-224-4-22−4i4i−4i4i-2-21-2212-1-22-122i−2i2i−2i2i−2i2i−2i2i−2i2i−2i00000000000000000000000011-1-1−ii−ii−ii0000000000000000000000000000000000000000003-300−3i3i0000000000
χ1084-44-44-2-2−4i4i2-42-224-4-22−4i4i−4i4i-2-21-2212-1-22-122i−2i2i−2i2i−2i2i−2i2i−2i2i−2i00000000000000000000000011-1-1−ii−ii−ii000000000000000000000000000000000000000000-33003i−3i0000000000
χ1094-44-4-24-24i−4i22-4-2-4-2242−2i2i−2i2i-21-21-1-222-222-14i−4i−2i2i−2i2i−2i2ii−ii−i00000000−2i32i3−2i32i323−2323−230000000011-1-1−2i2ii−ii−i00000000i3−i3i3−i300000000000000−33−330000000000000000000000000000
χ1104-44-4-24-24i−4i22-4-2-4-2242−2i2i−2i2i-21-21-1-222-222-14i−4i−2i2i−2i2i−2i2ii−ii−i000000002i3−2i32i3−2i3−2323−23230000000011-1-1−2i2ii−ii−i00000000−i3i3−i3i3000000000000003−33−30000000000000000000000000000
χ1114-44-4-24-2−4i4i22-4-2-4-22422i−2i2i−2i-21-21-1-222-222-1−4i4i2i−2i2i−2i2i−2i−ii−ii00000000−2i32i3−2i32i3−2323−23230000000011-1-12i−2i−ii−ii00000000i3−i3i3−i3000000000000003−33−30000000000000000000000000000
χ1124-44-4-24-2−4i4i22-4-2-4-22422i−2i2i−2i-21-21-1-222-222-1−4i4i2i−2i2i−2i2i−2i−ii−ii000000002i3−2i32i3−2i323−2323−230000000011-1-12i−2i−ii−ii00000000−i3i3−i3i300000000000000−33−330000000000000000000000000000
χ1134-44-4-2-244i−4i-42242-22-2-4−2i2i−2i2i1-2-2-22-2-121-122−2i2i4i−4ii−ii−i−2i2i−2i2i0000000000000000−2i32i3−2i32i323−2323−2311-1-1−2i2ii−ii−i000000000000000000i3−i3i3−i3−33−3300000000000000000000000000000000
χ1144-44-4-2-244i−4i-42242-22-2-4−2i2i−2i2i1-2-2-22-2-121-122−2i2i4i−4ii−ii−i−2i2i−2i2i00000000000000002i3−2i32i3−2i3−2323−232311-1-1−2i2ii−ii−i000000000000000000−i3i3−i3i33−33−300000000000000000000000000000000
χ1154-44-4-2-24−4i4i-42242-22-2-42i−2i2i−2i1-2-2-22-2-121-1222i−2i−4i4i−ii−ii2i−2i2i−2i0000000000000000−2i32i3−2i32i3−2323−232311-1-12i−2i−ii−ii000000000000000000i3−i3i3−i33−33−300000000000000000000000000000000
χ1164-44-4-2-24−4i4i-42242-22-2-42i−2i2i−2i1-2-2-22-2-121-1222i−2i−4i4i−ii−ii2i−2i2i−2i00000000000000002i3−2i32i3−2i323−2323−2311-1-12i−2i−ii−ii000000000000000000−i3i3−i3i3−33−3300000000000000000000000000000000
χ1174-4-4444-200-2-442-4-44-4200004-2-22-22-42-44-22000000000000004i−4i000000004i−4i−4i4i00000000-22-220000000000000000000000−2i2i00000000−2i2i2i−2i0000000000000000000000000000
χ1184-4-4444-200-2-442-4-44-4200004-2-22-22-42-44-2200000000000000−4i4i00000000−4i4i4i−4i00000000-22-2200000000000000000000002i−2i000000002i−2i−2i2i0000000000000000000000000000
χ1194-4-444-24004-4-2-42-442-40000-24-2-442222-2-2-400000000000000004i−4i00000000004i−4i−4i4i0000-22-2200000000000000000000−2i2i00−2i2i2i−2i000000000000000000000000000000000000
χ1204-4-444-24004-4-2-42-442-40000-24-2-442222-2-2-40000000000000000−4i4i0000000000−4i4i4i−4i0000-22-22000000000000000000002i−2i002i−2i−2i2i000000000000000000000000000000000000
χ1214-4-44-24-200-2242-42-2-4223−23−2323-21-2-112222-2-2-1000023−23−2323−333−3004i−4i0000−2i32i32i3−2i3−2i2i2i−2i000000001-11-100−333−300000000i3−i3−i3i30000−2i2i00000000i−i−ii0000000000000000000000000000
χ1224-4-44-24-200-2242-42-2-4223−23−2323-21-2-112222-2-2-1000023−23−2323−333−300−4i4i00002i3−2i3−2i32i32i−2i−2i2i000000001-11-100−333−300000000−i3i3i3−i300002i−2i00000000−iii−i0000000000000000000000000000
χ1234-4-44-24-200-2242-42-2-42−232323−23-21-2-112222-2-2-10000−232323−233−3−33004i−4i00002i3−2i3−2i32i3−2i2i2i−2i000000001-11-1003−3−3300000000−i3i3i3−i30000−2i2i00000000i−i−ii0000000000000000000000000000
χ1244-4-44-24-200-2242-42-2-42−232323−23-21-2-112222-2-2-10000−232323−233−3−3300−4i4i0000−2i32i32i3−2i32i−2i−2i2i000000001-11-1003−3−3300000000i3−i3−i3i300002i−2i00000000−iii−i0000000000000000000000000000
χ1254-4-44-2-240042-2-422-22-423−23−23231-2-22-22-12-11-220000−333−323−23−232300004i−4i0000000000−2i2i2i−2i2i3−2i3−2i32i31-11-100−333−300000000000000−2i2i00i−i−ii−i3i3i3−i300000000000000000000000000000000
χ1264-4-44-2-240042-2-422-22-423−23−23231-2-22-22-12-11-220000−333−323−23−23230000−4i4i00000000002i−2i−2i2i−2i32i32i3−2i31-11-100−333−3000000000000002i−2i00−iii−ii3−i3−i3i300000000000000000000000000000000
χ1274-4-44-2-240042-2-422-22-4−232323−231-2-22-22-12-11-2200003−3−33−232323−2300004i−4i0000000000−2i2i2i−2i−2i32i32i3−2i31-11-1003−3−3300000000000000−2i2i00i−i−iii3−i3−i3i300000000000000000000000000000000
χ1284-4-44-2-240042-2-422-22-4−232323−231-2-22-22-12-11-2200003−3−33−232323−230000−4i4i00000000002i−2i−2i2i2i3−2i3−2i32i31-11-1003−3−33000000000000002i−2i00−iii−i−i3i3i3−i300000000000000000000000000000000
χ1298888-4-4-488-4-4-4-4-4-4-4-4-4-4-4-4-4222222222222-4-4-4-422222222000000000000000000000000-1-1-1-122-1-1-1-10000000000000000000000000000000000000000000000000000000000
χ1308888-4-4-4-8-8-4-4-4-4-4-4-4-4-444442222222222224444-2-2-2-2-2-2-2-2000000000000000000000000-1-1-1-1-2-211110000000000000000000000000000000000000000000000000000000000
χ13188-8-88-4-4004844-4-8-84-40000-4-4244-2-4244-2-40000000000000000000000000000000000002-2-220000000000000000000000000000000000000000000000000000000000000000
χ13288-8-8-4-4-4004-444-4444-4−4i3−4i34i34i3222-2-2-222-2-2-2200002i32i3−2i3−2i32i32i3−2i3−2i3000000000000000000000000-111-100−i3−i3i3i30000000000000000000000000000000000000000000000000000000000
χ13388-8-8-4-4-4004-444-4444-44i34i3−4i3−4i3222-2-2-222-2-2-220000−2i3−2i32i32i3−2i3−2i32i32i3000000000000000000000000-111-100i3i3−i3−i30000000000000000000000000000000000000000000000000000000000
χ1348-88-8-4-4-48i−8i444-44-44-44−4i4i−4i4i2222-22-2-22-2-2-2−4i4i−4i4i2i−2i2i−2i2i−2i2i−2i000000000000000000000000-1-1112i−2i−ii−ii0000000000000000000000000000000000000000000000000000000000
χ1358-88-8-4-4-4−8i8i444-44-44-444i−4i4i−4i2222-22-2-22-2-2-24i−4i4i−4i−2i2i−2i2i−2i2i−2i2i000000000000000000000000-1-111−2i2ii−ii−i0000000000000000000000000000000000000000000000000000000000
χ1368-8-888-4-400-4-8-444-88440000-4-424-4-24-24-4240000000000000000000000000000000000002-22-20000000000000000000000000000000000000000000000000000000000000000
χ1378-8-88-4-4-400-44-4444-44443−43−4343222-22-2-2-2-222-20000−232323−23−232323−23000000000000000000000000-11-11003−3−330000000000000000000000000000000000000000000000000000000000
χ1388-8-88-4-4-400-44-4444-444−434343−43222-22-2-2-2-222-2000023−23−232323−23−2323000000000000000000000000-11-1100−333−30000000000000000000000000000000000000000000000000000000000

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