Finite Group Databasebeta

← Group #13168438

Character table — Group #13168438

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129
size1111222222222222222222444444444444444444444444666666668888888888121212121212121212121212121212121212121212121212121212121212121212121212121218181818181824242424242436363636363636363636367272108108
order122233344666666666121212123336666666661212121212121212121212124444121212123666121212121212244466121212121212121212121212121212121212121212121212121212121212121222444466612121244466121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-11-11-1-111111111111111-1-11111111111111111-1-1-1-111-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1111111111111111-1111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-111-1-1-1-111-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-111111111111111-1-1-11-1-111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111111111-1-111-1-1-1-11111111111111-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-111-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111111111111111-1-111-1-1-1-11111111111-11-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-111
χ81111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111111111-1-1
χ91111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11-1-1-111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111111-1-1-1-11-1-1-111-1-1111-11-1
χ101111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-11111-1-1-1-111-1-111-1-1-1111-1-111111-1-1-1-1-11-11
χ111111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1111-1-1-11-11-1-1-1-11111-11-11
χ121111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-111-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111111-111-1-111-1-11-11-1
χ131111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11-1-111111-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1111-1-1-111-111-1-111-1-11-1-11
χ141111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-11111-11-1-1-1-11111-111-1
χ151111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-11111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-111111-1-1-1-1-111111-1-1-1-1-111-1
χ161111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1111-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1111-11-1-1-111-1-1111-1-11
χ17222222-1222-1-122222-122222-1-1-12-1-122-1-1-1-1-1222222-1-1-1-12200-1-1-1-1-1-1-1-1-1-1-1-1-1-12022-1-1-1-1000022220000-1-1-1-1-1-1-1-1-1-1000000002222002-1-12-1-1000-1-10000-1-10000
χ18222222-1222-1-122222-122222-1-1-12-1-122-1-1-1-1-1222222-1-1-1-12200-1-1-1-1-1-1-1-1-1-1-1-1-1-1-20-2211-1-100002222000011-1-1-1-1-1-1-1-100000000-2-2-2-200-211-211000110000110000
χ19222222-1222-1-122222-122222-1-1-12-1-122-1-1-1-1-1222222-1-1-1-1-2-2001111-1-1-1-1-1-1-1-1-1-1202-2-1-1110000-2-2-2-20000-1-11111111100000000-2-2-2-2002-1-12-1-1000110000110000
χ20222222-1222-1-122222-122222-1-1-12-1-122-1-1-1-1-1222222-1-1-1-1-2-2001111-1-1-1-1-1-1-1-1-1-1-20-2-211110000-2-2-2-20000111111111100000000222200-211-211000-1-10000-1-10000
χ21222222-1-2-22-1-122222-1-2-2-2-22-1-1-12-1-122-1-1-111-2-2-2-2-2-211112200-1-1-1-1-1-1-1-111111120-2-2-1-111000022-2-2000011-1-1-1-1111100000000-2-222002-1-1-211000110000-1-10000
χ22222222-1-2-22-1-122222-1-2-2-2-22-1-1-12-1-122-1-1-111-2-2-2-2-2-211112200-1-1-1-1-1-1-1-1111111-202-21111000022-2-20000-1-1-1-1-1-111110000000022-2-200-2112-1-1000-1-10000110000
χ23222222-1-2-22-1-122222-1-2-2-2-22-1-1-12-1-122-1-1-111-2-2-2-2-2-21111-2-2001111-1-1-1-111111120-22-1-1-1-10000-2-2220000111111-1-1-1-10000000022-2-2002-1-1-211000-1-10000110000
χ24222222-1-2-22-1-122222-1-2-2-2-22-1-1-12-1-122-1-1-111-2-2-2-2-2-21111-2-2001111-1-1-1-1111111-202211-1-10000-2-2220000-1-11111-1-1-1-100000000-2-22200-2112-1-1000110000-1-10000
χ2522222-1222222-1-1-12222222-12-1-1-12-1-1-122-122-1-1-1-1-1-1222200220000-1-1-1-1-1-1-1-1-1-122202200-1-1-1-1000022222200000000-1-1-1-1-1-1-1-1000000-1-1-1-1-1-102200000000-1-100
χ2622222-1222222-1-1-12222222-12-1-1-12-1-1-122-122-1-1-1-1-1-1222200220000-1-1-1-1-1-1-1-1-1-1-22-20-2-200-1-1-1-100002222-2-200000000-1-1-1-1-1-1-1-10000001111110-2-2000000001100
χ2722222-1222222-1-1-12222222-12-1-1-12-1-1-122-122-1-1-1-1-1-1222200-2-20000-1-1-1-1-1-1-1-1-1-12-220220011110000-2-2-2-2220000000011111111000000-1-1-1-1-1-10-2-2000000001100
χ2822222-1222222-1-1-12222222-12-1-1-12-1-1-122-122-1-1-1-1-1-1222200-2-20000-1-1-1-1-1-1-1-1-1-1-2-2-20-2-20011110000-2-2-2-2-2-2000000001111111100000011111102200000000-1-100
χ2922222-12-2-2222-1-1-1222-2-2-2-2-12-1-1-12-1-1-122-1-2-2111111-2-2-2-200220000-1-1-1-11111112-2-20220011-1-1000022-2-2-2-200000000-1-1-1-11111000000-1-1-111102-200000000-1100
χ3022222-12-2-2222-1-1-1222-2-2-2-2-12-1-1-12-1-1-122-1-2-2111111-2-2-2-200220000-1-1-1-1111111-2-220-2-20011-1-1000022-2-22200000000-1-1-1-11111000000111-1-1-10-22000000001-100
χ3122222-12-2-2222-1-1-1222-2-2-2-2-12-1-1-12-1-1-122-1-2-2111111-2-2-2-200-2-20000-1-1-1-111111122-202200-1-1110000-2-222-2-2000000001111-1-1-1-1000000-1-1-11110-22000000001-100
χ3222222-12-2-2222-1-1-1222-2-2-2-2-12-1-1-12-1-1-122-1-2-2111111-2-2-2-200-2-20000-1-1-1-1111111-2220-2-200-1-1110000-2-22222000000001111-1-1-1-1000000111-1-1-102-200000000-1100
χ332222-12222-122222-1-12-1-1-1-1-1-122-1-12-1-1-1-122222-1-1-1-1-1-1-1-122222222-1-1-1-122-1-1-1-1020200222222-1-1-1-1-1-1-1-100-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100002200000020000-1-1-1-1000000
χ342222-12222-122222-1-12-1-1-1-1-1-122-1-12-1-1-1-122222-1-1-1-1-1-1-1-122-2-22222-1-1-1-122-1-1-1-10-2020022-2-2-2-2-1-1-1-1111100-1-1-1-1-1-1-1-1111111110000-2-2000000-200001111000000
χ352222-12222-122222-1-12-1-1-1-1-1-122-1-12-1-1-1-122222-1-1-1-1-1-1-1-1-2-222-2-2-2-2-1-1-1-122-1-1-1-1020-200-2-222221111-1-1-1-10011111111-1-1-1-1-1-1-1-10000-2-2000000-200001111000000
χ362222-12222-122222-1-12-1-1-1-1-1-122-1-12-1-1-1-122222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-122-1-1-1-10-20-200-2-2-2-2-2-21111111100111111111111111100002200000020000-1-1-1-1000000
χ372222-122-2-2-122222-1-121111-1-122-1-12-1-1-1-12-2-2-2-21111111122222222-1-1-1-1-2-211110-20-200-2-2-2-222-1-111-1-11100-1-1-1-11111-1-1-1-11111000022000000-20000-1-111000000
χ382222-122-2-2-122222-1-121111-1-122-1-12-1-1-1-12-2-2-2-21111111122-2-22222-1-1-1-1-2-21111020-200-2-222-2-2-1-11111-1-100-1-1-1-111111111-1-1-1-10000-2-20000002000011-1-1000000
χ392222-122-2-2-122222-1-121111-1-122-1-12-1-1-1-12-2-2-2-211111111-2-222-2-2-2-2-1-1-1-1-2-211110-2020022-2-22211-1-1-1-111001111-1-1-1-1-1-1-1-111110000-2-20000002000011-1-1000000
χ402222-122-2-2-122222-1-121111-1-122-1-12-1-1-1-12-2-2-2-211111111-2-2-2-2-2-2-2-2-1-1-1-1-2-211110202002222-2-211-1-111-1-1001111-1-1-1-11111-1-1-1-1000022000000-20000-1-111000000
χ4122-2-222200-2-2-22-2-22-220000222-2-2-2-22-22-220000000000002-22i−2i22-2-222-2-200000000000000002i−2i2-2002i−2i000022-2-200002i2i−2i−2i000000002i−2i000000000002i−2i00000000
χ4222-2-222200-2-2-22-2-22-220000222-2-2-2-22-22-220000000000002-2−2i2i22-2-222-2-20000000000000000−2i2i2-200−2i2i000022-2-20000−2i−2i2i2i00000000−2i2i00000000000−2i2i00000000
χ4322-2-222200-2-2-22-2-22-220000222-2-2-2-22-22-22000000000000-222i−2i-2-22222-2-200000000000000002i−2i-22002i−2i0000-2-22200002i2i−2i−2i00000000−2i2i00000000000−2i2i00000000
χ4422-2-222200-2-2-22-2-22-220000222-2-2-2-22-22-22000000000000-22−2i2i-2-22222-2-20000000000000000−2i2i-2200−2i2i0000-2-2220000−2i−2i2i2i000000002i−2i000000000002i−2i00000000
χ4522-2-2-122001-2-22-2-2-11233−3−3-1-12-211-2-11-112000033−3−333−3−32-22i−2i22-2-2-1-1110033−3−300000000002i−2i-113−3−ii−i3i300-1-11133−3−3−i−iii−i3−i3i3i300002i−2i00000000000−ii−i3i3000000
χ4622-2-2-122001-2-22-2-2-11233−3−3-1-12-211-2-11-112000033−3−333−3−32-2−2i2i22-2-2-1-1110033−3−30000000000−2i2i-113−3i−ii3−i300-1-11133−3−3ii−i−ii3i3−i3−i30000−2i2i00000000000i−ii3−i3000000
χ4722-2-2-122001-2-22-2-2-11233−3−3-1-12-211-2-11-112000033−3−333−3−3-222i−2i-2-222-1-1110033−3−300000000002i−2i1-1−33−ii−i3i30011-1-1−3−333−i−iii−i3−i3i3i30000−2i2i00000000000i−ii3−i3000000
χ4822-2-2-122001-2-22-2-2-11233−3−3-1-12-211-2-11-112000033−3−333−3−3-22−2i2i-2-222-1-1110033−3−30000000000−2i2i1-1−33i−ii3−i30011-1-1−3−333ii−i−ii3i3−i3−i300002i−2i00000000000−ii−i3i3000000
χ4922-2-2-122001-2-22-2-2-112−3−333-1-12-211-2-11-1120000−3−333−3−3332-22i−2i22-2-2-1-11100−3−33300000000002i−2i-11−33−iii3−i300-1-111−3−333−i−iiii3i3−i3−i300002i−2i00000000000−iii3−i3000000
χ5022-2-2-122001-2-22-2-2-112−3−333-1-12-211-2-11-1120000−3−333−3−3332-2−2i2i22-2-2-1-11100−3−3330000000000−2i2i-11−33i−i−i3i300-1-111−3−333ii−i−i−i3−i3i3i30000−2i2i00000000000i−i−i3i3000000
χ5122-2-2-122001-2-22-2-2-112−3−333-1-12-211-2-11-1120000−3−333−3−333-222i−2i-2-222-1-11100−3−33300000000002i−2i1-13−3−iii3−i30011-1-133−3−3−i−iiii3i3−i3−i30000−2i2i00000000000i−i−i3i3000000
χ5222-2-2-122001-2-22-2-2-112−3−333-1-12-211-2-11-1120000−3−333−3−333-22−2i2i-2-222-1-11100−3−3330000000000−2i2i1-13−3i−i−i3i30011-1-133−3−3ii−i−i−i3−i3i3i300002i−2i00000000000−iii3−i3000000
χ532-2-222222i−2i-2-22-2-22-22-22i−2i2i−2i2222-2-2-2-22-22-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i000000002-22-22i−2i2i−2i2i−2i000000000000000000000000000000000000002-22i−2i000000000002-200002i−2i0000
χ542-2-222222i−2i-2-22-2-22-22-22i−2i2i−2i2222-2-2-2-22-22-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i000000002-22-22i−2i2i−2i2i−2i00000000000000000000000000000000000000-22−2i2i00000000000-220000−2i2i0000
χ552-2-22222−2i2i-2-22-2-22-22-2−2i2i−2i2i2222-2-2-2-22-22-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i000000002-22-2−2i2i−2i2i−2i2i000000000000000000000000000000000000002-2−2i2i000000000002-20000−2i2i0000
χ562-2-22222−2i2i-2-22-2-22-22-2−2i2i−2i2i2222-2-2-2-22-22-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i000000002-22-2−2i2i−2i2i−2i2i00000000000000000000000000000000000000-222i−2i00000000000-2200002i−2i0000
χ572-2-2222-12i−2i-21-1-2-22-2212i−2i2i−2i2-1-1-1-211-221-11−ii2i−2i2i−2i2i−2i−ii−ii00003−33−3-11-11−ii−ii−ii0000−i3i3−i3i30000000000003−33−33−3−i3i3−i3i3000000002-22i−2i000−i3i303−3000-110000−ii0000
χ582-2-2222-12i−2i-21-1-2-22-2212i−2i2i−2i2-1-1-1-211-221-11−ii2i−2i2i−2i2i−2i−ii−ii00003−33−3-11-11−ii−ii−ii0000i3−i3−i3i3000000000000−333−33−3−i3i3−i3i300000000-22−2i2i000i3−i30−330001-10000i−i0000
χ592-2-2222-12i−2i-21-1-2-22-2212i−2i2i−2i2-1-1-1-211-221-11−ii2i−2i2i−2i2i−2i−ii−ii0000−33−33-11-11−ii−ii−ii0000−i3i3i3−i30000000000003−3−33−33i3−i3i3−i300000000-22−2i2i000−i3i303−30001-10000i−i0000
χ602-2-2222-12i−2i-21-1-2-22-2212i−2i2i−2i2-1-1-1-211-221-11−ii2i−2i2i−2i2i−2i−ii−ii0000−33−33-11-11−ii−ii−ii0000i3−i3i3−i3000000000000−33−33−33i3−i3i3−i3000000002-22i−2i000i3−i30−33000-110000−ii0000
χ612-2-2222-1−2i2i-21-1-2-22-221−2i2i−2i2i2-1-1-1-211-221-11i−i−2i2i−2i2i−2i2ii−ii−i00003−33−3-11-11i−ii−ii−i0000−i3i3i3−i3000000000000−333−33−3i3−i3i3−i300000000-222i−2i000−i3i30−330001-10000−ii0000
χ622-2-2222-1−2i2i-21-1-2-22-221−2i2i−2i2i2-1-1-1-211-221-11i−i−2i2i−2i2i−2i2ii−ii−i00003−33−3-11-11i−ii−ii−i0000i3−i3i3−i30000000000003−33−33−3i3−i3i3−i3000000002-2−2i2i000i3−i303−3000-110000i−i0000
χ632-2-2222-1−2i2i-21-1-2-22-221−2i2i−2i2i2-1-1-1-211-221-11i−i−2i2i−2i2i−2i2ii−ii−i0000−33−33-11-11i−ii−ii−i0000−i3i3−i3i3000000000000−33−33−33−i3i3−i3i3000000002-2−2i2i000−i3i30−33000-110000i−i0000
χ642-2-2222-1−2i2i-21-1-2-22-221−2i2i−2i2i2-1-1-1-211-221-11i−i−2i2i−2i2i−2i2ii−ii−i0000−33−33-11-11i−ii−ii−i0000i3−i3−i3i30000000000003−3−33−33−i3i3−i3i300000000-222i−2i000i3−i303−30001-10000−ii0000
χ6544444-2-2444-2-2-2-2-244-24444-2-211-2-21-2-2-2-21-2-2-2-2-2-2-2-2-2-2-2-20000000011111111114040-2-200000000000000-2-20000000000000000000000-211-211000000000000000
χ6644444-2-2444-2-2-2-2-244-24444-2-211-2-21-2-2-2-21-2-2-2-2-2-2-2-2-2-2-2-2000000001111111111-40-4022000000000000002200000000000000000000002-1-12-1-1000000000000000
χ6744444-2-2-4-44-2-2-2-2-244-2-4-4-4-4-2-211-2-21-2-2-2-21222222222222000000001111-1-1-1-1-1-140-40-2-200000000000000220000000000000000000000-2112-1-1000000000000000
χ6844444-2-2-4-44-2-2-2-2-244-2-4-4-4-4-2-211-2-21-2-2-2-21222222222222000000001111-1-1-1-1-1-1-40402200000000000000-2-200000000000000000000002-1-1-211000000000000000
χ694444-24-244-2-2-2444-2-2-2-2-2-2-2-21-2-2-21-2-2-211-2-2-244-2-2-2-211114400-2-2-2-21111-2-21111000400-2-20000-2-2-2-20000001111111100000000000000000000000000000000000
χ704444-24-244-2-2-2444-2-2-2-2-2-2-2-21-2-2-21-2-2-211-2-2-244-2-2-2-21111-4-40022221111-2-21111000-4002200002222000000-1-1-1-1-1-1-1-100000000000000000000000000000000000
χ714444-24-2-4-4-2-2-2444-2-2-22222-21-2-2-21-2-2-211-222-4-42222-1-1-1-14400-2-2-2-2111122-1-1-1-1000-400220000-2-2220000001111-1-1-1-100000000000000000000000000000000000
χ724444-24-2-4-4-2-2-2444-2-2-22222-21-2-2-21-2-2-211-222-4-42222-1-1-1-1-4-4002222111122-1-1-1-1000400-2-2000022-2-2000000-1-1-1-1111100000000000000000000000000000000000
χ734444-2-2444-244-2-2-2-2-24-2-2-2-21-2-2-21-2-211-2-2-244-2-21111-2-2-2-2004400001111-2-2111104000000-2-2-2-20000-2-2-2-2000000000011111111000000000000000000000000000
χ744444-2-2444-244-2-2-2-2-24-2-2-2-21-2-2-21-2-211-2-2-244-2-21111-2-2-2-200-4-400001111-2-211110-40000002222000022220000000000-1-1-1-1-1-1-1-1000000000000000000000000000
χ754444-2-24-4-4-244-2-2-2-2-2422221-2-2-21-2-211-2-2-2-4-422-1-1-1-1222200440000111122-1-1-1-10-400000022-2-20000-2-22200000000001111-1-1-1-1000000000000000000000000000
χ764444-2-24-4-4-244-2-2-2-2-2422221-2-2-21-2-211-2-2-2-4-422-1-1-1-1222200-4-40000111122-1-1-1-104000000-2-222000022-2-20000000000-1-1-1-11111000000000000000000000000000
χ7744-4-444-200-4224-4-44-4-200004-2-22-4224-4-22-20000000000004-400-2-222-2-2220000000000000000004-400000000-2-222000000000000000000000000000000000000000
χ7844-4-444-200-4224-4-44-4-200004-2-22-4224-4-22-2000000000000-440022-2-2-2-222000000000000000000-440000000022-2-2000000000000000000000000000000000000000
χ7944-4-44-2400-4-4-4-2224-440000-24-222-42-224-4-2000000000000004i−4i0000-2-2220000000000000000−2i2i00004i−4i000000000000−2i−2i2i2i0000000000000000000000000000000
χ8044-4-44-2400-4-4-4-2224-440000-24-222-42-224-4-200000000000000−4i4i0000-2-22200000000000000002i−2i0000−4i4i0000000000002i2i−2i−2i0000000000000000000000000000000
χ8144-4-4-24-2002224-4-4-22-22323−23−23-21-222-12-221-1-200002323−23−23−3−3334-400-2-22211-1-100−3−333000000000000-2223−2300000011-1-1−3−33300000000000000000000000000000000000
χ8244-4-4-24-2002224-4-4-22-22323−23−23-21-222-12-221-1-200002323−23−23−3−333-440022-2-211-1-100−3−3330000000000002-2−2323000000-1-11133−3−300000000000000000000000000000000000
χ8344-4-4-24-2002224-4-4-22-2−23−232323-21-222-12-221-1-20000−23−23232333−3−34-400-2-22211-1-10033−3−3000000000000-22−232300000011-1-133−3−300000000000000000000000000000000000
χ8444-4-4-24-2002224-4-4-22-2−23−232323-21-222-12-221-1-20000−23−23232333−3−3-440022-2-211-1-10033−3−30000000000002-223−23000000-1-111−3−33300000000000000000000000000000000000
χ8544-4-4-2-24002-4-4-222-2242323−23−231-2-22-1221-1-22-20000−3−3332323−23−23004i−4i000011-1-100−3−3330000000000−2i2i0000−2i2i−2i32i30000000000ii−i−ii3i3−i3−i3000000000000000000000000000
χ8644-4-4-2-24002-4-4-222-2242323−23−231-2-22-1221-1-22-20000−3−3332323−23−2300−4i4i000011-1-100−3−33300000000002i−2i00002i−2i2i3−2i30000000000−i−iii−i3−i3i3i3000000000000000000000000000
χ8744-4-4-2-24002-4-4-222-224−23−2323231-2-22-1221-1-22-2000033−3−3−23−232323004i−4i000011-1-10033−3−30000000000−2i2i0000−2i2i2i3−2i30000000000ii−i−i−i3−i3i3i3000000000000000000000000000
χ8844-4-4-2-24002-4-4-222-224−23−2323231-2-22-1221-1-22-2000033−3−3−23−23232300−4i4i000011-1-10033−3−300000000002i−2i00002i−2i−2i32i30000000000−i−iiii3i3−i3−i3000000000000000000000000000
χ894-44-44440044-4-44-4-4-4-40000444-4444-4-4-4-4-4000000000000000000004-4-4400000000000000000000000000000000000000000000000000000000000000000000000
χ904-44-444-2004-22-44-4-4-4200004-2-224-2-2-4-4222000000000000000023−23−2323-222-2000000000000000000000000000023−23−2323000000000000000000000000000000000000000
χ914-44-444-2004-22-44-4-4-4200004-2-224-2-2-4-42220000000000000000−232323−23-222-20000000000000000000000000000−232323−23000000000000000000000000000000000000000
χ924-44-44-240044-42-22-4-4-40000-24-22-24-222-4-4200000000000000000000-222-20000000000000023−2300000000000000000000000023−2323−23000000000000000000000000000
χ934-44-44-240044-42-22-4-4-40000-24-22-24-222-4-4200000000000000000000-222-200000000000000−2323000000000000000000000000−2323−2323000000000000000000000000000
χ944-44-4-24400-24-4-44-422-4−2i32i32i3−2i3-2-24-4-2-242222-40000−2i32i32i3−2i3−2i32i32i3−2i300000000-222-200−2i32i32i3−2i300000000000000000000000000000000000000000000000000000000000000000
χ954-44-4-24400-24-4-44-422-42i3−2i3−2i32i3-2-24-4-2-242222-400002i3−2i3−2i32i32i3−2i3−2i32i300000000-222-2002i3−2i3−2i32i300000000000000000000000000000000000000000000000000000000000000000
χ964-44-4-24-200-2-22-44-4222−2i32i32i3−2i3-21-22-21-222-1-120000−2i32i32i3−2i3i3−i3−i3i3000023−23−23231-1-1100i3−i3−i3i30000000000000000000000−333−33i−3i−3i3i00000000000000000000000000000000000
χ974-44-4-24-200-2-22-44-4222−2i32i32i3−2i3-21-22-21-222-1-120000−2i32i32i3−2i3i3−i3−i3i30000−232323−231-1-1100i3−i3−i3i300000000000000000000003−3−33−3i3i3i−3i00000000000000000000000000000000000
χ984-44-4-24-200-2-22-44-42222i3−2i3−2i32i3-21-22-21-222-1-1200002i3−2i3−2i32i3−i3i3i3−i3000023−23−23231-1-1100−i3i3i3−i30000000000000000000000−333−3−3i3i3i−3i00000000000000000000000000000000000
χ994-44-4-24-200-2-22-44-42222i3−2i3−2i32i3-21-22-21-222-1-1200002i3−2i3−2i32i3−i3i3i3−i30000−232323−231-1-1100−i3i3i3−i300000000000000000000003−3−333i−3i−3i3i00000000000000000000000000000000000
χ1004-44-4-2-2400-24-42-2222-4−2i32i32i3−2i31-2-221-2-2-1-12220000i3−i3−i3i3−2i32i32i3−2i3000000001-1-1100i3−i3−i3i30000000023−23000000000000000000003i−3i3i−3i−33−33000000000000000000000000000
χ1014-44-4-2-2400-24-42-2222-4−2i32i32i3−2i31-2-221-2-2-1-12220000i3−i3−i3i3−2i32i32i3−2i3000000001-1-1100i3−i3−i3i300000000−232300000000000000000000−3i3i−3i3i3−33−3000000000000000000000000000
χ1024-44-4-2-2400-24-42-2222-42i3−2i3−2i32i31-2-221-2-2-1-12220000−i3i3i3−i32i3−2i3−2i32i3000000001-1-1100−i3i3i3−i30000000023−2300000000000000000000−3i3i−3i3i−33−33000000000000000000000000000
χ1034-44-4-2-2400-24-42-2222-42i3−2i3−2i32i31-2-221-2-2-1-12220000−i3i3i3−i32i3−2i3−2i32i3000000001-1-1100−i3i3i3−i300000000−2323000000000000000000003i−3i3i−3i3−33−3000000000000000000000000000
χ1044-4-444-244i−4i-4-4422-2-44-44i−4i4i−4i-24-2-22-422-2-4424i−4i−2i2i−2i2i−2i2i4i−4i4i−4i00000000-22-22−2i2i−2i2i−2i2i00000000000000000000000000000000000000000000000000000000000000000
χ1054-4-444-24−4i4i-4-4422-2-44-4−4i4i−4i4i-24-2-22-422-2-442−4i4i2i−2i2i−2i2i−2i−4i4i−4i4i00000000-22-222i−2i2i−2i2i−2i00000000000000000000000000000000000000000000000000000000000000000
χ1064-4-444-2-24i−4i-42-222-2-4424i−4i4i−4i-2-21122-12-22-2-1−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i000000001-11-1i−ii−ii−i0000−2i32i30000000000000023−2300000000000000000000000i3−i30−33000000000000000
χ1074-4-444-2-24i−4i-42-222-2-4424i−4i4i−4i-2-21122-12-22-2-1−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i000000001-11-1i−ii−ii−i00002i3−2i300000000000000−232300000000000000000000000−i3i303−3000000000000000
χ1084-4-444-2-2−4i4i-42-222-2-442−4i4i−4i4i-2-21122-12-22-2-12i−2i2i−2i2i−2i2i−2i2i−2i2i−2i000000001-11-1−ii−ii−ii0000−2i32i300000000000000−232300000000000000000000000i3−i303−3000000000000000
χ1094-4-444-2-2−4i4i-42-222-2-442−4i4i−4i4i-2-21122-12-22-2-12i−2i2i−2i2i−2i2i−2i2i−2i2i−2i000000001-11-1−ii−ii−ii00002i3−2i30000000000000023−2300000000000000000000000−i3i30−33000000000000000
χ1104-4-44-2444i−4i2-44-4-442-2-4−2i2i−2i2i-2-24422-42-22-2-44i−4i4i−4i−2i2i−2i2i−2i2i−2i2i00000000-22-224i−4i−2i2i−2i2i00000000000000000000000000000000000000000000000000000000000000000
χ1114-4-44-244−4i4i2-44-4-442-2-42i−2i2i−2i-2-24422-42-22-2-4−4i4i−4i4i2i−2i2i−2i2i−2i2i−2i00000000-22-22−4i4i2i−2i2i−2i00000000000000000000000000000000000000000000000000000000000000000
χ1124-4-44-24-24i−4i22-2-4-442-22−2i2i−2i2i-21-2-22-122-2-112−2i2i4i−4i−2i2i−2i2ii−ii−i000023−2323−231-11-1−2i2ii−ii−i000000−2i32i300000000000000−33−33i3−i3i3−i300000000000000000000000000000000000
χ1134-4-44-24-24i−4i22-2-4-442-22−2i2i−2i2i-21-2-22-122-2-112−2i2i4i−4i−2i2i−2i2ii−ii−i0000−2323−23231-11-1−2i2ii−ii−i0000002i3−2i3000000000000003−33−3−i3i3−i3i300000000000000000000000000000000000
χ1144-4-44-24-2−4i4i22-2-4-442-222i−2i2i−2i-21-2-22-122-2-1122i−2i−4i4i2i−2i2i−2i−ii−ii000023−2323−231-11-12i−2i−ii−ii0000002i3−2i300000000000000−33−33−i3i3−i3i300000000000000000000000000000000000
χ1154-4-44-24-2−4i4i22-2-4-442-222i−2i2i−2i-21-2-22-122-2-1122i−2i−4i4i2i−2i2i−2i−ii−ii0000−2323−23231-11-12i−2i−ii−ii000000−2i32i3000000000000003−33−3i3−i3i3−i300000000000000000000000000000000000
χ1164-4-44-2-244i−4i2-4422-22-2-4−2i2i−2i2i1-2-2-2-122-112-224i−4i−2i2ii−ii−i−2i2i−2i2i000000001-11-1−2i2ii−ii−i0000000000000000000000000000003-3-333i−3i−3i3i000000000000000000000000000
χ1174-4-44-2-244i−4i2-4422-22-2-4−2i2i−2i2i1-2-2-2-122-112-224i−4i−2i2ii−ii−i−2i2i−2i2i000000001-11-1−2i2ii−ii−i000000000000000000000000000000-333-3−3i3i3i−3i000000000000000000000000000
χ1184-4-44-2-24−4i4i2-4422-22-2-42i−2i2i−2i1-2-2-2-122-112-22−4i4i2i−2i−ii−ii2i−2i2i−2i000000001-11-12i−2i−ii−ii0000000000000000000000000000003-3-33−3i3i3i−3i000000000000000000000000000
χ1194-4-44-2-24−4i4i2-4422-22-2-42i−2i2i−2i1-2-2-2-122-112-22−4i4i2i−2i−ii−ii2i−2i2i−2i000000001-11-12i−2i−ii−ii000000000000000000000000000000-333-33i−3i−3i3i000000000000000000000000000
χ1208888-4-4-488-4-4-4-4-4-4-4-4-4-4-4-4-4222222222222-4-4-4-42222222200000000-1-1-1-122-1-1-1-100000000000000000000000000000000000000000000000000000000000000000
χ1218888-4-4-4-8-8-4-4-4-4-4-4-4-4-444442222222222224444-2-2-2-2-2-2-2-200000000-1-1-1-1-2-2111100000000000000000000000000000000000000000000000000000000000000000
χ12288-8-88-4-400-844-4448-8-40000-4-42-244-2-44-4420000000000000000000022-2-200000000000000000000000000000000000000000000000000000000000000000000000
χ12388-8-8-4-4-400444-444-44-44343−43−43222-2-2-2-22-22-220000−23−232323−23−23232300000000-1-1110033−3−300000000000000000000000000000000000000000000000000000000000000000
χ12488-8-8-4-4-400444-444-44-4−43−434343222-2-2-2-22-22-2200002323−23−232323−23−2300000000-1-11100−3−33300000000000000000000000000000000000000000000000000000000000000000
χ1258-88-88-4-4008-444-44-8-840000-4-42-2-4-424444-2000000000000000000002-2-2200000000000000000000000000000000000000000000000000000000000000000000000
χ1268-88-8-4-4-400-4-444-44444−4i34i34i3−4i3222-2222-2-2-2-2-200002i3−2i3−2i32i32i3−2i3−2i32i300000000-111-100−i3i3i3−i300000000000000000000000000000000000000000000000000000000000000000
χ1278-88-8-4-4-400-4-444-444444i3−4i3−4i34i3222-2222-2-2-2-2-20000−2i32i32i3−2i3−2i32i32i3−2i300000000-111-100i3−i3−i3i300000000000000000000000000000000000000000000000000000000000000000
χ1288-8-88-4-4-48i−8i44-444-44-44−4i4i−4i4i2222-2-2-2-22-22-2−4i4i−4i4i2i−2i2i−2i2i−2i2i−2i00000000-11-112i−2i−ii−ii00000000000000000000000000000000000000000000000000000000000000000
χ1298-8-88-4-4-4−8i8i44-444-44-444i−4i4i−4i2222-2-2-2-22-22-24i−4i4i−4i−2i2i−2i2i−2i2i−2i2i00000000-11-11−2i2ii−ii−i00000000000000000000000000000000000000000000000000000000000000000

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