Finite Group Databasebeta

← Group #13155507

Character table — Group #13155507

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111222222222222224444444444444444444444666666666666888888888888121212121212121212121212121212121212121212121212242424242424242424242424363636363636363636363636363636363636108108
order12442333466612121212121233366666666121212121212121212121222446666121212123666661212121212126666668888121212121212242424242424242424242424242424242424242488888824242424242424242424242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-11111111111-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111-1-111111111-1-1-1-11111-1-111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1
χ911-1-1-11111111-1-1-1-1-1-1111-1-1-1-1-11111111-1-1-1-1-1-111-11-111-1-111-1-11-1-1-1-111111-1-11-111-1-1i−ii−i1-111-1-1ii−i−iii−i−ii−ii−iii−i−iii−i−ii−ii−i1-1ii−i−iii−i−i11-1-11-1
χ1011-1-1-11111111-1-1-1-1-1-1111-1-1-1-1-11111111-1-1-1-1-1-111-11-111-1-111-1-11-1-1-1-111111-1-11-111-1-1i−i−ii1-111-1-1ii−i−i−i−iiii−i−iiii−i−i−i−iiii−i−ii-11ii−i−i−i−iii-1-111-11
χ1111-1-1-11111111-1-1-1-1-1-1111-1-1-1-1-11111111-1-1-1-1-1-111-11-111-1-111-1-11-1-1-1-111111-1-11-111-1-1−iii−i1-111-1-1−i−iiiii−i−i−iii−i−i−iiiii−i−i−iii−i-11−i−iiiii−i−i-1-111-11
χ1211-1-1-11111111-1-1-1-1-1-1111-1-1-1-1-11111111-1-1-1-1-1-111-11-111-1-111-1-11-1-1-1-111111-1-11-111-1-1−ii−ii1-111-1-1−i−iii−i−iii−ii−ii−i−iii−i−iii−ii−ii1-1−i−iii−i−iii11-1-11-1
χ1311-1-1-11111111-1-1-1-1-1-1111-1-1-1-1-11111111-1-1-1-1-1-11-11-11-1-111-1-1111-1-1-1-111111-1-1-11-1-111i−ii−i-11-1-111ii−i−iii−i−ii−ii−iii−i−iii−i−i−ii−ii1-1−i−iii−i−iii11-1-1-11
χ1411-1-1-11111111-1-1-1-1-1-1111-1-1-1-1-11111111-1-1-1-1-1-11-11-11-1-111-1-1111-1-1-1-111111-1-1-11-1-111i−i−ii-11-1-111ii−i−i−i−iiii−i−iiii−i−i−i−iii−iii−i-11−i−iiiii−i−i-1-1111-1
χ1511-1-1-11111111-1-1-1-1-1-1111-1-1-1-1-11111111-1-1-1-1-1-11-11-11-1-111-1-1111-1-1-1-111111-1-1-11-1-111−iii−i-11-1-111−i−iiiii−i−i−iii−i−i−iiiii−i−ii−i−ii-11ii−i−i−i−iii-1-1111-1
χ1611-1-1-11111111-1-1-1-1-1-1111-1-1-1-1-11111111-1-1-1-1-1-11-11-11-1-111-1-1111-1-1-1-111111-1-1-11-1-111−ii−ii-11-1-111−i−iii−i−iii−ii−ii−i−iii−i−iiii−ii−i1-1ii−i−iii−i−i11-1-1-11
χ172222222-1222-12222-1-12-1-122-1-1-12-1-12-1-1-1-1-122-1-12222222-1-1-1-122-12-1-1-1-12-1-1-1-1-1-12-1-1-1-100222-1-1-1-1-10000-1-1-1-100220000-1-1-1-10022000000-1-1-1-1000000
χ182222222-1222-12222-1-12-1-122-1-1-12-1-12-1-1-1-1-122-1-12222222-1-1-1-122-12-1-1-1-12-1-1-1-1-1-12-1-1-1-100-2-22-1-1-1-1-10000111100-2-20000111100-2-20000001111000000
χ192222222-1222-12222-1-12-1-122-1-1-12-1-12-1-1-1-1-122-1-12-2-2-2-2-2-21111-2-2-12-1-1-1-12-1-1-1-1-11-211110022-2111110000-1-1-1-100220000-1-1-1-100-2-20000001111000000
χ202222222-1222-12222-1-12-1-122-1-1-12-1-12-1-1-1-1-122-1-12-2-2-2-2-2-21111-2-2-12-1-1-1-12-1-1-1-1-11-2111100-2-2-2111110000111100-2-2000011110022000000-1-1-1-1000000
χ21222222-1222-1222-1-122-12-12-12-1-1-12-1-12-1-1-1-1-1-12222222-1-12222-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-1-12200-12-1-1-1-1-1-1-1-100002200-1-1-1-10000220000-1-1-1-10000000000
χ22222222-1222-1222-1-122-12-12-12-1-1-12-1-12-1-1-1-1-1-12222222-1-12222-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-1-1-2-200-12-1-1-1-111110000-2-20011110000-2-2000011110000000000
χ23222222-1222-1222-1-122-12-12-12-1-1-12-1-12-1-1-1-1-1-1222-2-2-2-211-2-2-2-211-1-12-1-1-1-12-1-1-1-1-21111122001-21111-1-1-1-100002200-1-1-1-10000-2-2000011110000000000
χ24222222-1222-1222-1-122-12-12-12-1-1-12-1-12-1-1-1-1-1-1222-2-2-2-211-2-2-2-211-1-12-1-1-1-12-1-1-1-1-211111-2-2001-2111111110000-2-20011110000220000-1-1-1-10000000000
χ2522222-1222-122-1-12222-1-12-12222-1-12222222-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1000000222200000022222222-1-1-1-1-1-1-1-1-1-1-1-100002200000000-1-1-1-100
χ2622222-1222-122-1-12222-1-12-12222-1-12222222-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-100000022-2-20000002222-2-2-2-2-1-111-1-1-1-111110000-2-200000000111100
χ2722222-1222-122-1-12222-1-12-12222-1-12222222-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1000000-2-222000000-2-2-2-2222211-1-11111-1-1-1-10000-2-200000000111100
χ2822222-1222-122-1-12222-1-12-12222-1-12222222-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1000000-2-2-2-2000000-2-2-2-2-2-2-2-211111111111100002200000000-1-1-1-100
χ292222-2222-2222222222222-2-2-2-2-2222-2-2-2-2222222-22-2-2222-2-2-2-2222-2-2-2-22-2-2-2-2222-222-2-20000-22-2-2220000000000000000000000000000000000000000
χ302222-2222-2222222222222-2-2-2-2-2222-2-2-2-2222222-2-222-2-2-22222-2-22-2-2-2-22-2-2-2-222-22-2-22200002-222-2-20000000000000000000000000000000000000000
χ312222-222-1-222-12222-1-12-1-1-2-21112-1-1-2111-1-122-1-1-22-2-2222111122-1-2111-1-2111-1-1-1-2-1-1110000-2-111-1-10000−i3i3−i3i300000000−i3i3−i3i30000000000−i3i3−i3i3000000
χ322222-222-1-222-12222-1-12-1-1-2-21112-1-1-2111-1-122-1-1-22-2-2222111122-1-2111-1-2111-1-1-1-2-1-1110000-2-111-1-10000i3−i3i3−i300000000i3−i3i3−i30000000000i3−i3i3−i3000000
χ332222-222-1-222-12222-1-12-1-1-2-21112-1-1-2111-1-122-1-1-2-222-2-2-2-1-1-1-1-2-2-1-2111-1-2111-1-11211-1-1000021-1-1110000−i3i3−i3i300000000−i3i3−i3i30000000000i3−i3i3−i3000000
χ342222-222-1-222-12222-1-12-1-1-2-21112-1-1-2111-1-122-1-1-2-222-2-2-2-1-1-1-1-2-2-1-2111-1-2111-1-11211-1-1000021-1-1110000i3−i3i3−i300000000i3−i3i3−i30000000000−i3i3−i3i3000000
χ352222-22-12-22-1222-1-122-12-1-21-211-12-11-211-1-1-1-122-22-2-22-1-1-2-2-2-2-1-1-11-211-11-211-1-121-1-11100001211-1-1−i3i3−i3i300000000−i3i3−i3i30000000000−i3i3−i3i30000000000
χ362222-22-12-22-1222-1-122-12-1-21-211-12-11-211-1-1-1-122-22-2-22-1-1-2-2-2-2-1-1-11-211-11-211-1-121-1-11100001211-1-1i3−i3i3−i300000000i3−i3i3−i30000000000i3−i3i3−i30000000000
χ372222-22-12-22-1222-1-122-12-1-21-211-12-11-211-1-1-1-122-2-222-211222211-11-211-11-211-1-1-2-111-1-10000-1-2-1-111−i3i3−i3i300000000−i3i3−i3i30000000000i3−i3i3−i30000000000
χ382222-22-12-22-1222-1-122-12-1-21-211-12-11-211-1-1-1-122-2-222-211222211-11-211-11-211-1-1-2-111-1-10000-1-2-1-111i3−i3i3−i300000000i3−i3i3−i30000000000−i3i3−i3i30000000000
χ3922-2-22222-2222-2-2-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-2-222-2-22222-2-2-2-2222222-2-2-2-2-2-22222220000-2-2-2-2-2-20000000000000000000000000000000000000000
χ4022-2-22222-2222-2-2-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-200002222220000000000000000000000000000000000000000
χ4122-2-2222-1-222-1-2-2-2-2112-1-122-1-1-12-1-1-211111-2-211-222-2-222-1-111-2-2-12-1-1-1-1-211111-12-1-1-1-10000-21111100003−3−33000000003−3−3300000000003−3−33000000
χ4222-2-2222-1-222-1-2-2-2-2112-1-122-1-1-12-1-1-211111-2-211-222-2-222-1-111-2-2-12-1-1-1-1-211111-12-1-1-1-10000-2111110000−333−300000000−333−30000000000−333−3000000
χ4322-2-2222-1-222-1-2-2-2-2112-1-122-1-1-12-1-1-211111-2-211-2-2-222-2-211-1-122-12-1-1-1-1-2111111-2111100002-1-1-1-1-100003−3−33000000003−3−330000000000−333−3000000
χ4422-2-2222-1-222-1-2-2-2-2112-1-122-1-1-12-1-1-211111-2-211-2-2-222-2-211-1-122-12-1-1-1-1-2111111-2111100002-1-1-1-1-10000−333−300000000−333−300000000003−3−33000000
χ4522-2-222-12-22-12-2-211-2-2-12-12-12-1-1-12-11-2111111-2-2-222-2-2-1-122-2-211-1-12-1-1-11-211112-1-1-1-1-100001-211113−3−33000000003−3−3300000000003−3−330000000000
χ4622-2-222-12-22-12-2-211-2-2-12-12-12-1-1-12-11-2111111-2-2-222-2-2-1-122-2-211-1-12-1-1-11-211112-1-1-1-1-100001-21111−333−300000000−333−30000000000−333−30000000000
χ4722-2-222-12-22-12-2-211-2-2-12-12-12-1-1-12-11-2111111-2-2-2-2-22211-2-222-1-1-1-12-1-1-11-21111-2111110000-12-1-1-1-13−3−33000000003−3−330000000000−333−30000000000
χ4822-2-222-12-22-12-2-211-2-2-12-12-12-1-1-12-11-2111111-2-2-2-2-22211-2-222-1-1-1-12-1-1-11-21111-2111110000-12-1-1-1-1−333−300000000−333−300000000003−3−330000000000
χ4922-2-2-222-1222-1-2-2-2-2112-1-1-2-21112-1-12-1-1-111-2-21122-22-22211-1-1-2-2-1-2111-12-1-1-111-1-2-1-111002i−2i21-1-1110000−i−iii002i−2i0000−i−iii002i−2i000000−i−iii000000
χ5022-2-2-222-1222-1-2-2-2-2112-1-1-2-21112-1-12-1-1-111-2-21122-22-22211-1-1-2-2-1-2111-12-1-1-111-1-2-1-11100−2i2i21-1-1110000ii−i−i00−2i2i0000ii−i−i00−2i2i000000ii−i−i000000
χ5122-2-2-222-1222-1-2-2-2-2112-1-1-2-21112-1-12-1-1-111-2-2112-22-22-2-2-1-11122-1-2111-12-1-1-1111211-1-1002i−2i-2-111-1-10000−i−iii002i−2i0000−i−iii00−2i2i000000ii−i−i000000
χ5222-2-2-222-1222-1-2-2-2-2112-1-1-2-21112-1-12-1-1-111-2-2112-22-22-2-2-1-11122-1-2111-12-1-1-1111211-1-100−2i2i-2-111-1-10000ii−i−i00−2i2i0000ii−i−i002i−2i000000−i−iii000000
χ5322-2-2-22-1222-12-2-211-2-2-12-1-21-211-12-1-12-1-11111-2-222-22-2-1-1-2-22211-11-211-1-12-1-11121-1-1112i−2i00-1-2-1-111−i−iii00002i−2i00−i−iii00002i−2i0000−i−iii0000000000
χ5422-2-2-22-1222-12-2-211-2-2-12-1-21-211-12-1-12-1-11111-2-222-22-2-1-1-2-22211-11-211-1-12-1-11121-1-111−2i2i00-1-2-1-111ii−i−i0000−2i2i00ii−i−i0000−2i2i0000ii−i−i0000000000
χ5522-2-2-22-1222-12-2-211-2-2-12-1-21-211-12-1-12-1-11111-2-22-22-221122-2-2-1-1-11-211-1-12-1-111-2-111-1-12i−2i001211-1-1−i−iii00002i−2i00−i−iii0000−2i2i0000ii−i−i0000000000
χ5622-2-2-22-1222-12-2-211-2-2-12-1-21-211-12-1-12-1-11111-2-22-22-221122-2-2-1-1-11-211-1-12-1-111-2-111-1-1−2i2i001211-1-1ii−i−i0000−2i2i00ii−i−i00002i−2i0000−i−iii0000000000
χ5722-2-2-2-1222-12211-2-2-2-2-1-121-2-2-2-2-1-122222-2-21111-1000000000000-11111-1-1-1-1-1110000002i−2i2i−2i0000002i2i−2i−2i2i2i−2i−2i−ii−ii−i−iii−i−iii00002-200000000-1-11100
χ5822-2-2-2-1222-12211-2-2-2-2-1-121-2-2-2-2-1-122222-2-21111-1000000000000-11111-1-1-1-1-1110000002i−2i−2i2i0000002i2i−2i−2i−2i−2i2i2i−iii−i−i−iiiii−i−i0000-220000000011-1-100
χ5922-2-2-2-1222-12211-2-2-2-2-1-121-2-2-2-2-1-122222-2-21111-1000000000000-11111-1-1-1-1-111000000−2i2i2i−2i000000−2i−2i2i2i2i2i−2i−2ii−i−iiii−i−i−i−iii0000-220000000011-1-100
χ6022-2-2-2-1222-12211-2-2-2-2-1-121-2-2-2-2-1-122222-2-21111-1000000000000-11111-1-1-1-1-111000000−2i2i−2i2i000000−2i−2i2i2i−2i−2i2i2ii−ii−iii−i−iii−i−i00002-200000000-1-11100
χ61444444-2-244-2-244-2-2-2-2-2-214-2-211-2-21-2-21111-2-2-2-244444-2-2-2-2-2-2-2-21-2-2111-2-21111-2-211110000-2-211110000000000000000000000000000000000000000
χ62444444-2-244-2-244-2-2-2-2-2-214-2-211-2-21-2-21111-2-2-2-24-4-4-4-4222222221-2-2111-2-2111122-1-1-1-1000022-1-1-1-10000000000000000000000000000000000000000
χ6344444-24-24-24-2-2-244-2-2-21-2-24-2-2-2-21-24-2-2-2-2-2-2-211-20000000000001-21111-21111100000000440000000000-2-2-2-200-2-20000111100000000000000000000
χ6444444-24-24-24-2-2-244-2-2-21-2-24-2-2-2-21-24-2-2-2-2-2-2-211-20000000000001-21111-21111100000000-4-40000000000222200220000-1-1-1-100000000000000000000
χ6544444-2-244-2-24-2-2-2-2441-2-2-2-24-2-21-2-2-24-2-2-2-211-2-2-200000000000011-21111-211110000004400000000-2-2-2-20000-2-2001111000000000000000000000000
χ6644444-2-244-2-24-2-2-2-2441-2-2-2-24-2-21-2-2-24-2-2-2-211-2-2-200000000000011-21111-21111000000-4-400000000222200002200-1-1-1-1000000000000000000000000
χ674444-44-2-2-44-2-244-2-2-2-2-2-21-422-1-1-2-2122-1-111-2-2-2-2-44-4-44-2-22222-2-2122-1-1122-1-111-2211-1-100002-2-1-1110000000000000000000000000000000000000000
χ684444-44-2-2-44-2-244-2-2-2-2-2-21-422-1-1-2-2122-1-111-2-2-2-2-4-444-422-2-2-2-222122-1-1122-1-1112-2-1-1110000-2211-1-10000000000000000000000000000000000000000
χ694444-4-244-4-244-2-24444-2-242-4-4-4-4-2-24-4-4-4-444-2-2-2-22000000000000-22222-22222-2-200000000000000000000000000000000000000000000000000000000
χ704444-4-24-2-4-24-2-2-244-2-2-21-22-4222-21-2-4222-2-2-2-211200000000000012-1-1-112-1-1-11100000000000000000000−2i32i3−2i32i300000000i3−i3i3−i300000000000000000000
χ714444-4-24-2-4-24-2-2-244-2-2-21-22-4222-21-2-4222-2-2-2-211200000000000012-1-1-112-1-1-111000000000000000000002i3−2i32i3−2i300000000−i3i3−i3i300000000000000000000
χ724444-4-2-24-4-2-24-2-2-2-2441-2-222-4221-2-22-422-2-211-2-220000000000001-12-1-11-12-1-1110000000000000000−2i32i3−2i32i300000000i3−i3i3−i3000000000000000000000000
χ734444-4-2-24-4-2-24-2-2-2-2441-2-222-4221-2-22-422-2-211-2-220000000000001-12-1-11-12-1-11100000000000000002i3−2i32i3−2i300000000−i3i3−i3i3000000000000000000000000
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χ8044-4-44-2-24-4-2-242222-4-41-2-2-2-24-2-21-2-22-42222-1-122200000000000011-2111-12-1-1-1-10000000000000000−232323−23000000003−3−33000000000000000000000000
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χ8244-4-4-44-2-244-2-2-4-42222-2-21-422-1-1-2-21-2-211-1-122224-44-4422-2-222-2-2122-1-11-2-211-1-12-2-1-11100002-2-1-1110000000000000000000000000000000000000000
χ8344-4-4-4-24-24-24-222-4-422-21-22-4222-21-24-2-2-22222-1-1-200000000000012-1-1-11-2111-1-1000000004i−4i0000000000−2i−2i2i2i00−2i2i0000ii−i−i00000000000000000000
χ8444-4-4-4-24-24-24-222-4-422-21-22-4222-21-24-2-2-22222-1-1-200000000000012-1-1-11-2111-1-100000000−4i4i00000000002i2i−2i−2i002i−2i0000−i−iii00000000000000000000
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χ954-44i−4i04-2-20-4224i−4i−2i2i−2i2i-2-21000-3322-100−3i3ii−i−2i2i−2i2i000002i3−2i3−2i32i323−23−2323100-33-100−3i3ii−i00−i3i3i3−i3000000−333−30000000000000000000000000000000000000000
χ964-44i−4i0-24402-4-4−2i2i4i−4i4i−4i-2-240000022-400004i−4i−2i2i−2i2i0000000000000-2000020000−2i2i00000000000000000000000000000000000000000000000000i6−i66−600
χ974-44i−4i0-24402-4-4−2i2i4i−4i4i−4i-2-240000022-400004i−4i−2i2i−2i2i0000000000000-2000020000−2i2i00000000000000000000000000000000000000000000000000−i6i6−6600
χ984-4−4i4i04440-4-4-4−4i4i−4i4i−4i4i44400000-4-4-40000−4i4i−4i4i−4i4i000000000000040000-40000−4i4i00000000000000000000000000000000000000000000000000000000
χ994-4−4i4i044-20-4-42−4i4i−4i4i2i−2i4-2-200000-42200002i−2i−4i4i2i−2i0000000−2i32i3−232300-20000200002i−2i0000−2i32i3000000−2323000000000000000000000000000000000000000000
χ1004-4−4i4i044-20-4-42−4i4i−4i4i2i−2i4-2-200000-42200002i−2i−4i4i2i−2i00000002i3−2i323−2300-20000200002i−2i00002i3−2i300000023−23000000000000000000000000000000000000000000
χ1014-4−4i4i04-240-42-4−4i4i2i−2i−4i4i-24-2000002-4200002i−2i2i−2i−4i4i00000−2i32i30000−2323-20000200002i−2i00−2i32i30000000000−23230000000000000000000000000000000000000000
χ1024-4−4i4i04-240-42-4−4i4i2i−2i−4i4i-24-2000002-4200002i−2i2i−2i−4i4i000002i3−2i3000023−23-20000200002i−2i002i3−2i3000000000023−230000000000000000000000000000000000000000
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χ1044-4−4i4i04-2-20-422−4i4i2i−2i2i−2i-2-210003-322-100−3i3i−ii2i−2i2i−2i000002i3−2i32i3−2i323−2323−231003-3-100−3i3i−ii00−i3i3−i3i3000000−33−330000000000000000000000000000000000000000
χ1054-4−4i4i04-2-20-422−4i4i2i−2i2i−2i-2-21000-3322-1003i−3i−ii2i−2i2i−2i00000−2i32i32i3−2i323−23−2323100-33-1003i−3i−ii00i3−i3−i3i3000000−333−30000000000000000000000000000000000000000
χ1064-4−4i4i04-2-20-422−4i4i2i−2i2i−2i-2-21000-3322-1003i−3i−ii2i−2i2i−2i000002i3−2i3−2i32i3−232323−23100-33-1003i−3i−ii00−i3i3i3−i30000003−3−330000000000000000000000000000000000000000
χ1074-4−4i4i0-24402-4-42i−2i−4i4i−4i4i-2-240000022-40000−4i4i2i−2i2i−2i0000000000000-20000200002i−2i00000000000000000000000000000000000000000000000000i6−i6−6600
χ1084-4−4i4i0-24402-4-42i−2i−4i4i−4i4i-2-240000022-40000−4i4i2i−2i2i−2i0000000000000-20000200002i−2i00000000000000000000000000000000000000000000000000−i6i66−600
χ10988888-4-4-48-4-4-4-4-4-4-4-4-4222-4-4-422222-4-422222222-4000000000000-122-1-1-122-1-1-1-100000000000000000000000000000000000000000000000000000000
χ1108888-8-4-4-4-8-4-4-4-4-4-4-4-4-4222444-2-222244-2-22222224000000000000-1-2-211-1-2-211-1-100000000000000000000000000000000000000000000000000000000
χ11188-8-88-4-4-4-8-4-4-4444444222-4-4-42222244-2-2-2-2-2-2-2-24000000000000-122-1-1-1-2-2111100000000000000000000000000000000000000000000000000000000
χ11288-8-8-8-4-4-48-4-4-4444444222444-2-2222-4-422-2-2-2-2-2-2-4000000000000-1-2-211-122-1-11100000000000000000000000000000000000000000000000000000000
χ1138-88i−8i0-48-404-84−4i4i8i−8i−4i4i-42-4000004-240000−4i4i−4i4i2i−2i000000000000020000-200002i−2i00000000000000000000000000000000000000000000000000000000
χ1148-88i−8i0-4-48044-8−4i4i−4i4i8i−8i2-4-400000-2440000−4i4i2i−2i−4i4i000000000000020000-200002i−2i00000000000000000000000000000000000000000000000000000000
χ1158-88i−8i0-4-4-40444−4i4i−4i4i−4i4i2220006-6-2-2-2006i−6i2i−2i2i−2i2i−2i0000000000000-100-33100−3i3i−ii00000000000000000000000000000000000000000000000000000000
χ1168-88i−8i0-4-4-40444−4i4i−4i4i−4i4i222000-66-2-2-200−6i6i2i−2i2i−2i2i−2i0000000000000-1003-31003i−3i−ii00000000000000000000000000000000000000000000000000000000
χ1178-8−8i8i0-48-404-844i−4i−8i8i4i−4i-42-4000004-2400004i−4i4i−4i−2i2i000000000000020000-20000−2i2i00000000000000000000000000000000000000000000000000000000
χ1188-8−8i8i0-4-48044-84i−4i4i−4i−8i8i2-4-400000-24400004i−4i−2i2i4i−4i000000000000020000-20000−2i2i00000000000000000000000000000000000000000000000000000000
χ1198-8−8i8i0-4-4-404444i−4i4i−4i4i−4i2220006-6-2-2-200−6i6i−2i2i−2i2i−2i2i0000000000000-100-331003i−3ii−i00000000000000000000000000000000000000000000000000000000
χ1208-8−8i8i0-4-4-404444i−4i4i−4i4i−4i222000-66-2-2-2006i−6i−2i2i−2i2i−2i2i0000000000000-1003-3100−3i3ii−i00000000000000000000000000000000000000000000000000000000

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