Finite Group Databasebeta

← Group #13155664

Character table — Group #13155664

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111122222222222222444444444444444444444466668888888888889999121212121212121212121212121212121212121212121212121212121818181818182424242424242424242424243636363636365454545472727272
order1222333446666666663336666666661212121212121212121288883666121212121212121244444444121212121212121224242424242424242424242424242424441212121212121212121212121212121244441212888812121212
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
χ311111111111111111111111111111111111111111111111111111111-1-1-1-111-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111
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
χ71111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-111
χ81111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1111111-1-1
χ91-11-1111-11-1-1-111-1-1-11111-1-1-1-1-111-1111-1111-1-1-1-1ii−i−i1-1-111-11-111-1-1ii−i−i1-1i−i11-1-1ii−i−iiiiiiiii−i−i−i−i−i−i−i−ii−iii−i−ii−i1-1ii−i−i11-1-11-1i−ii−i11-1-1i−i1-1
χ101-11-1111-11-1-1-111-1-1-11111-1-1-1-1-111-1111-1111-1-1-1-1ii−i−i1-1-111-11-111-1-1ii−i−i-11−ii-1-111−i−iiiiiiiiiii−i−i−i−i−i−i−i−ii−iii−i−i−ii-11−i−iii-1-111-11−iii−i11-1-1−ii-11
χ111-11-1111-11-1-1-111-1-1-11111-1-1-1-1-111-1111-1111-1-1-1-1ii−i−i1-1-111-11-111-1-1−i−iii1-1−ii11-1-1−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−ii−i−iii−ii1-1−i−iii11-1-1-11i−i−ii-1-111i−i-11
χ121-11-1111-11-1-1-111-1-1-11111-1-1-1-1-111-1111-1111-1-1-1-1ii−i−i1-1-111-11-111-1-1−i−iii-11i−i-1-111ii−i−iiiiiiiii−i−i−i−i−i−i−i−i−ii−i−iiii−i-11ii−i−i-1-1111-1−ii−ii-1-111−ii1-1
χ131-11-1111-11-1-1-111-1-1-11111-1-1-1-1-111-1111-1111-1-1-1-1−i−iii1-1-111-11-111-1-1ii−i−i1-1i−i11-1-1ii−i−i−i−i−i−i−i−i−i−iiiiiiiiii−iii−i−ii−i1-1ii−i−i11-1-1-11−iii−i-1-111−ii-11
χ141-11-1111-11-1-1-111-1-1-11111-1-1-1-1-111-1111-1111-1-1-1-1−i−iii1-1-111-11-111-1-1ii−i−i-11−ii-1-111−i−iii−i−i−i−i−i−i−i−iiiiiiiiii−iii−i−i−ii-11−i−iii-1-1111-1i−ii−i-1-111i−i1-1
χ151-11-1111-11-1-1-111-1-1-11111-1-1-1-1-111-1111-1111-1-1-1-1−i−iii1-1-111-11-111-1-1−i−iii1-1−ii11-1-1−i−iii−i−i−i−i−i−i−i−iiiiiiiii−ii−i−iii−ii1-1−i−iii11-1-11-1−ii−ii11-1-1−ii1-1
χ161-11-1111-11-1-1-111-1-1-11111-1-1-1-1-111-1111-1111-1-1-1-1−i−iii1-1-111-11-111-1-1−i−iii-11i−i-1-111ii−i−i−i−i−i−i−i−i−i−iiiiiiiii−ii−i−iiii−i-11ii−i−i-1-111-11i−i−ii11-1-1i−i-11
χ172222222-2-2222222222222222222222-2-2-2-2-2-2-2-2-2-200002222-2-2-2-2-2-2-2-222220000000000000000000000000000-2-222220000000000000000-2-200000000
χ182222222-2-2222222222222222222222-2-2-2-2-2-2-2-2-2-200002222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000022-2-2-2-200000000000000002200000000
χ19222222-1222222-1-1-1222-1-122-1-1-12-1-1-12-1-122222220000-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1000000000000000022-1-1-1-12222-1-1-1-1-1-1-1-10000-1-100000000
χ20222222-1222222-1-1-1222-1-122-1-1-12-1-1-12-1-122222220000-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-211111111000000000000000022-1-1-1-1-2-2-2-2111111110000-1-100000000
χ21222222-1222222-1-1-1222-1-122-1-1-12-1-1-12-1-122222220000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-2-1-1-1-111110000000000000000-2-21111-2-2221111-1-1-1-100001100000000
χ22222222-1222222-1-1-1222-1-122-1-1-12-1-1-12-1-122222220000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2221111-1-1-1-10000000000000000-2-2111122-2-2-1-1-1-1111100001100000000
χ23222222-1-2-22222-1-1-1222-1-122-1-1-12-1-1-1-211-2-2-2-2-2-2-20000-1-1-1-11111111122220000−i3i3−i3i3−i3i3−i3i30000000000000000-2-2-1-1-1-10000−i3i3−i3i3−i3i3−i3i300001100000000
χ24222222-1-2-22222-1-1-1222-1-122-1-1-12-1-1-1-211-2-2-2-2-2-2-20000-1-1-1-11111111122220000i3−i3i3−i3i3−i3i3−i30000000000000000-2-2-1-1-1-10000i3−i3i3−i3i3−i3i3−i300001100000000
χ25222222-1-2-22222-1-1-1222-1-122-1-1-12-1-1-1-211-2-2-2-2-2-2-20000-1-1-1-111111111-2-2-2-20000−i3i3−i3i3i3−i3i3−i300000000000000002211110000i3−i3i3−i3−i3i3−i3i30000-1-100000000
χ26222222-1-2-22222-1-1-1222-1-122-1-1-12-1-1-1-211-2-2-2-2-2-2-20000-1-1-1-111111111-2-2-2-20000i3−i3i3−i3−i3i3−i3i300000000000000002211110000−i3i3−i3i3i3−i3i3−i30000-1-100000000
χ2722222-12222-12-1222-12-12-1-1-12-1-1-122-1-1222-1-1-12-1-12222-1-1-1-122-1-1-1-1-1-1000022002222000022-1-1-1-1-1-122-1-1-1-1-1-100000000-1-10000-1-1-1-10022000000-1-100
χ2822222-12222-12-1222-12-12-1-1-12-1-1-122-1-1222-1-1-12-1-12222-1-1-1-122-1-1-1-1-1-10000-2-200-2-2-2-2000022-1-1-1-1-1-122-1-1-1-1-1-100000000110000111100-2-20000001100
χ2922222-12222-12-1222-12-12-1-1-12-1-1-122-1-1222-1-1-12-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-10000220022220000-2-2111111-2-211111100000000-1-10000-1-1-1-100-2-20000001100
χ3022222-12222-12-1222-12-12-1-1-12-1-1-122-1-1222-1-1-12-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-10000-2-200-2-2-2-20000-2-2111111-2-21111110000000011000011110022000000-1-100
χ312222-12222-12-122222-1-1-12-1-1-122-1-1-12222-1-1-12-1-1-12222-1-1-1-1-1-122-1-1-1-10000002200002222-1-122-1-1-1-1-1-122-1-1-1-1000000-1-100-1-1-1-10000220000000000-1-1
χ322222-12222-12-122222-1-1-12-1-1-122-1-1-12222-1-1-12-1-1-12222-1-1-1-1-1-122-1-1-1-1000000-2-20000-2-2-2-2-1-122-1-1-1-1-1-122-1-1-1-1000000110011110000-2-2000000000011
χ332222-12222-12-122222-1-1-12-1-1-122-1-1-12222-1-1-12-1-1-1-2-2-2-2-1-1-1-1-1-122-1-1-1-1000000220000222211-2-2111111-2-21111000000-1-100-1-1-1-10000-2-2000000000011
χ342222-12222-12-122222-1-1-12-1-1-122-1-1-12222-1-1-12-1-1-1-2-2-2-2-1-1-1-1-1-122-1-1-1-1000000-2-20000-2-2-2-211-2-2111111-2-21111000000110011110000220000000000-1-1
χ3522-2-22220022-2-2-22-2-2-22222-222-2-2-2-2-200000000002−22−222-2-2000000002-22-20000000000002−22−222−2−22−22−222−2−2002-22-20000000000000000002−22−20000
χ3622-2-22220022-2-2-22-2-2-22222-222-2-2-2-2-200000000002−22−222-2-200000000-22-220000000000002−22−222−2−22−22−222−2−200-22-22000000000000000000−22−220000
χ3722-2-22220022-2-2-22-2-2-22222-222-2-2-2-2-20000000000−22−2222-2-2000000002-22-2000000000000−22−22−2−222−22−22−2−222002-22-2000000000000000000−22−220000
χ3822-2-22220022-2-2-22-2-2-22222-222-2-2-2-2-20000000000−22−2222-2-200000000-22-22000000000000−22−22−2−222−22−22−2−22200-22-220000000000000000002−22−20000
χ392-22-22222-2-2-2-222-2-2-22222-2-2-2-2-222-22-2-22-2-2-2222200002-2-22-22-22-2-2222i2i−2i−2i0000000000000000000000000000−2i2i2i2i−2i−2i0000000000000000−2i2i00000000
χ402-22-22222-2-2-2-222-2-2-22222-2-2-2-2-222-22-2-22-2-2-2222200002-2-22-22-22-2-222−2i−2i2i2i00000000000000000000000000002i−2i−2i−2i2i2i00000000000000002i−2i00000000
χ412-22-222-12-2-2-2-22-111-222-1-1-2-21112-11-1-21-1-2-2-222220000-111-11-11-111-1-12i2i−2i−2i0000−i3i3i3−i33−3−330000000000000000−2i2i−i−iii00003−3−33−i3i3i3−i30000i−i00000000
χ422-22-222-12-2-2-2-22-111-222-1-1-2-21112-11-1-21-1-2-2-222220000-111-11-11-111-1-12i2i−2i−2i0000i3−i3−i3i3−333−30000000000000000−2i2i−i−iii0000−333−3i3−i3−i3i30000i−i00000000
χ432-22-222-12-2-2-2-22-111-222-1-1-2-21112-11-1-21-1-2-2-222220000-111-11-11-111-1-1−2i−2i2i2i0000−i3i3i3−i3−333−300000000000000002i−2iii−i−i0000−333−3−i3i3i3−i30000−ii00000000
χ442-22-222-12-2-2-2-22-111-222-1-1-2-21112-11-1-21-1-2-2-222220000-111-11-11-111-1-1−2i−2i2i2i0000i3−i3−i3i33−3−3300000000000000002i−2iii−i−i00003−3−33i3−i3−i3i30000−ii00000000
χ452-22-222-1-22-2-2-22-111-222-1-1-2-21112-11-12-11222-2-2-2-20000-111-1-11-11-1-1112i2i−2i−2i2-22i−2i-1-111−i−iii00000000000000002i−2i−i−iii2i−2i2-2−i−iii-1-1110000−ii00000000
χ462-22-222-1-22-2-2-22-111-222-1-1-2-21112-11-12-11222-2-2-2-20000-111-1-11-11-1-1112i2i−2i−2i-22−2i2i11-1-1ii−i−i00000000000000002i−2i−i−iii−2i2i-22ii−i−i11-1-10000−ii00000000
χ472-22-222-1-22-2-2-22-111-222-1-1-2-21112-11-12-11222-2-2-2-20000-111-1-11-11-1-111−2i−2i2i2i2-2−2i2i-1-111ii−i−i0000000000000000−2i2iii−i−i−2i2i2-2ii−i−i-1-1110000i−i00000000
χ482-22-222-1-22-2-2-22-111-222-1-1-2-21112-11-12-11222-2-2-2-20000-111-1-11-11-1-111−2i−2i2i2i-222i−2i11-1-1−i−iii0000000000000000−2i2iii−i−i2i−2i-22−i−iii11-1-10000i−i00000000
χ492-22-22-12-22-21-2-12-2-212-12-111-211-12-2-1-12-22-1-11-2112i2i−2i−2i-111-12-2-11-1-11100002-20022-2-200002i2i−i−i−i−i−i−i−2i−2iiiiiii00000000-110000-1-111002i−2i000000−ii00
χ502-22-22-12-22-21-2-12-2-212-12-111-211-12-2-1-12-22-1-11-2112i2i−2i−2i-111-12-2-11-1-1110000-2200-2-22200002i2i−i−i−i−i−i−i−2i−2iiiiiii000000001-1000011-1-100−2i2i000000i−i00
χ512-22-22-12-22-21-2-12-2-212-12-111-211-12-2-1-12-22-1-11-211−2i−2i2i2i-111-12-2-11-1-11100002-20022-2-20000−2i−2iiiiiii2i2i−i−i−i−i−i−i00000000-110000-1-11100−2i2i000000i−i00
χ522-22-22-12-22-21-2-12-2-212-12-111-211-12-2-1-12-22-1-11-211−2i−2i2i2i-111-12-2-11-1-1110000-2200-2-2220000−2i−2iiiiiii2i2i−i−i−i−i−i−i000000001-1000011-1-1002i−2i000000−ii00
χ532-22-2-122-221-2122-2-2-2-1-1-12111-2-2-1-11222-2-1-1-1-21112i2i−2i−2i-111-1-112-2-1-1110000002i−2i00002i2i−2i−2i−i−i2i2i−i−i−i−iii−2i−2iiiii000000−ii00−i−iii00002-20000000000-11
χ542-22-2-122-221-2122-2-2-2-1-1-12111-2-2-1-11222-2-1-1-1-21112i2i−2i−2i-111-1-112-2-1-111000000−2i2i0000−2i−2i2i2i−i−i2i2i−i−i−i−iii−2i−2iiiii000000i−i00ii−i−i0000-2200000000001-1
χ552-22-2-122-221-2122-2-2-2-1-1-12111-2-2-1-11222-2-1-1-1-2111−2i−2i2i2i-111-1-112-2-1-1110000002i−2i00002i2i−2i−2iii−2i−2iiiii−i−i2i2i−i−i−i−i000000−ii00−i−iii0000-2200000000001-1
χ562-22-2-122-221-2122-2-2-2-1-1-12111-2-2-1-11222-2-1-1-1-2111−2i−2i2i2i-111-1-112-2-1-111000000−2i2i0000−2i−2i2i2iii−2i−2iiiii−i−i2i2i−i−i−i−i000000i−i00ii−i−i00002-20000000000-11
χ572-2-2222200-2-22-2-2-222-2222-22-2-22-2-22-20000000000−i2i2i2−i22-22-2000000002i−2i−2i2i000000000000−i2i2−i2i2−i2−i2i2i2i2−i2i2−i2i2i2−i2−i2002i−2i−2i2i000000000000000000−222−20000
χ582-2-2222200-2-22-2-2-222-2222-22-2-22-2-22-20000000000−i2i2i2−i22-22-200000000−2i2i2i−2i000000000000−i2i2−i2i2−i2−i2i2i2i2−i2i2−i2i2i2−i2−i200−2i2i2i−2i0000000000000000002−2−220000
χ592-2-2222200-2-22-2-2-222-2222-22-2-22-2-22-20000000000i2−i2−i2i22-22-2000000002i−2i−2i2i000000000000i2−i2i2−i2i2i2−i2−i2−i2i2−i2i2−i2−i2i2i2002i−2i−2i2i0000000000000000002−2−220000
χ602-2-2222200-2-22-2-2-222-2222-22-2-22-2-22-20000000000i2−i2−i2i22-22-200000000−2i2i2i−2i000000000000i2−i2i2−i2i2i2−i2−i2−i2i2−i2i2−i2−i2i2i200−2i2i2i−2i000000000000000000−222−20000
χ6144444-24-4-44-24-2444-24-24-2-2-24-2-2-244-22-4-4-4222-4220000-2-2-2-2-4-42222220000000000000000000000000000000000000000000000000000000000000000
χ6244444-2-2444-24-2-2-2-2-24-2-21-2-2-211-2-2-21-2-2-24-2-2-24-2-200001111-2-211111100004400-2-2-2-20000000000000000000000000000-2-20000111100000000000000
χ6344444-2-2444-24-2-2-2-2-24-2-21-2-2-211-2-2-21-2-2-24-2-2-24-2-200001111-2-21111110000-4-40022220000000000000000000000000000220000-1-1-1-100000000000000
χ6444444-2-2-4-44-24-2-2-2-2-24-2-21-2-2-211-2-2-21222-4222-4220000111122-1-1-1-1-1-100000000−2i32i3−2i32i30000000000000000000000000000000000i3−i3i3−i300000000000000
χ6544444-2-2-4-44-24-2-2-2-2-24-2-21-2-2-211-2-2-21222-4222-4220000111122-1-1-1-1-1-1000000002i3−2i32i3−2i30000000000000000000000000000000000−i3i3−i3i300000000000000
χ664444-244-4-4-24-244444-2-2-24-2-2-244-2-2-24-4-4-4222-42220000-2-2-2-222-4-422220000000000000000000000000000000000000000000000000000000000000000
χ674444-24-244-24-24-2-2-24-2-21-2-2-21-2-2-211-24-2-2-2-2-24-2-2-20000111111-2-21111000000440000-2-2-2-20000000000000000000000-2-2001111000000000000000000
χ684444-24-244-24-24-2-2-24-2-21-2-2-21-2-2-211-24-2-2-2-2-24-2-2-20000111111-2-21111000000-4-40000222200000000000000000000002200-1-1-1-1000000000000000000
χ694444-24-2-4-4-24-24-2-2-24-2-21-2-2-21-2-2-211-2-422222-422200001111-1-122-1-1-1-1000000000000−2i32i3−2i32i300000000000000000000000000i3−i3i3−i3000000000000000000
χ704444-24-2-4-4-24-24-2-2-24-2-21-2-2-21-2-2-211-2-422222-422200001111-1-122-1-1-1-10000000000002i3−2i32i3−2i300000000000000000000000000−i3i3−i3i3000000000000000000
χ714444-2-2444-2-2-2-2444-2-21-2-211-2-2-21-2-2-2-244-211-2-21144441111-2-2-2-211110000000000000000-2-2-2-21111-2-2-2-2111100000000000000000000000000000000
χ724444-2-2444-2-2-2-2444-2-21-2-211-2-2-21-2-2-2-244-211-2-211-4-4-4-41111-2-2-2-2111100000000000000002222-1-1-1-12222-1-1-1-100000000000000000000000000000000
χ734444-2-24-4-4-2-2-2-2444-2-21-2-211-2-2-21-2-2-22-4-42-1-122-1-1000011112222-1-1-1-1000000000000000000003i−3i3i−3i00003i−3i3i−3i00000000000000000000000000000000
χ744444-2-24-4-4-2-2-2-2444-2-21-2-211-2-2-21-2-2-22-4-42-1-122-1-1000011112222-1-1-1-100000000000000000000−3i3i−3i3i0000−3i3i−3i3i00000000000000000000000000000000
χ7544-4-444-20044-4-42-22-4-44-2-24-4-2-22-422200000000000000-2-222000000004-44-4000000000000000000000000000000-22-2200000000000000000000000000
χ7644-4-444-20044-4-42-22-4-44-2-24-4-2-22-422200000000000000-2-22200000000-44-440000000000000000000000000000002-22-200000000000000000000000000
χ7744-4-44-24004-2-42-44-42-4-24-2-224-222-4-42000000000022−2222−22-2-22200000000000000000000000022−22−22−2−22222−22−22−2−22200000000000000000000000000000000
χ7844-4-44-24004-2-42-44-42-4-24-2-224-222-4-420000000000−2222−2222-2-222000000000000000000000000−22222−222−2−2−22222−222−2−200000000000000000000000000000000
χ7944-4-4-24400-242-4-44-4-42-2-24-22-24-4222-4000000000022−2222−22-2-222000000000000000000000000−2222−22−2−222−2222−22−2−22200000000000000000000000000000000
χ8044-4-4-24400-242-4-44-4-42-2-24-22-24-4222-40000000000−2222−2222-2-2220000000000000000000000002−2−222222−2−22−2−222222−2−200000000000000000000000000000000
χ8144-4-4-2-2400-2-222-44-4221-2-21-1-2-22-122200003i−3i003i−3i22−2222−2211-1-100003i−3i3i−3i0000000000000000−22−22−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−22−22−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ2300000000000000000000000000000000
χ8244-4-4-2-2400-2-222-44-4221-2-21-1-2-22-122200003i−3i003i−3i−2222−222211-1-100003i−3i3i−3i00000000000000002−22−22ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232−22−22ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ2300000000000000000000000000000000
χ8344-4-4-2-2400-2-222-44-4221-2-21-1-2-22-12220000−3i3i00−3i3i22−2222−2211-1-10000−3i3i−3i3i0000000000000000−22−22ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23−22−22ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ2300000000000000000000000000000000
χ8444-4-4-2-2400-2-222-44-4221-2-21-1-2-22-12220000−3i3i00−3i3i−2222−222211-1-10000−3i3i−3i3i00000000000000002−22−2−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ232−22−2−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ2300000000000000000000000000000000
χ854-44-44-244-4-42-4-24-4-424-24-222-422-24-4-22-44-422-24-2-20000-222-2-442-222-2-20000000000000000000000000000000000000000000000000000000000000000
χ864-44-44-2-24-4-42-4-2-22224-2-21222-1-1-2-22122-2-422-24-2-200001-1-112-2-11-1-11100000000−2i32i32i3−2i30000000000000000000000000000000000i3−i3−i3i300000000000000
χ874-44-44-2-24-4-42-4-2-22224-2-21222-1-1-2-22122-2-422-24-2-200001-1-112-2-11-1-111000000002i3−2i3−2i32i30000000000000000000000000000000000−i3i3i3−i300000000000000
χ884-44-44-2-2-44-42-4-2-22224-2-21222-1-1-2-221-2-224-2-22-42200001-1-11-221-111-1-100004-400-2-2220000000000000000000000000000-22000011-1-100000000000000
χ894-44-44-2-2-44-42-4-2-22224-2-21222-1-1-2-221-2-224-2-22-42200001-1-11-221-111-1-10000-440022-2-200000000000000000000000000002-20000-1-11100000000000000
χ904-44-4-2444-42-4244-4-4-4-2-2-24222-4-4-2-224-4-442224-2-2-20000-222-22-2-4422-2-20000000000000000000000000000000000000000000000000000000000000000
χ914-44-4-24-24-42-424-222-4-2-21-222-122-21-1-2-42-22224-2-2-200001-1-11-112-2-1-11100000000000023−23−232300000000000000000000000000−333−3000000000000000000
χ924-44-4-24-24-42-424-222-4-2-21-222-122-21-1-2-42-22224-2-2-200001-1-11-112-2-1-111000000000000−232323−23000000000000000000000000003−3−33000000000000000000
χ934-44-4-24-2-442-424-222-4-2-21-222-122-21-1-24-22-2-2-2-422200001-1-111-1-2211-1-10000004i−4i0000−2i−2i2i2i0000000000000000000000−2i2i00ii−i−i000000000000000000
χ944-44-4-24-2-442-424-222-4-2-21-222-122-21-1-24-22-2-2-2-422200001-1-111-1-2211-1-1000000−4i4i00002i2i−2i−2i00000000000000000000002i−2i00−i−iii000000000000000000
χ954-44-4-2-244-4222-24-4-42-21-2-2-1-12221-22-22-442-1-1-2-21100001-1-112-22-2-1-111000000000000000000003-33-30000-33-3300000000000000000000000000000000
χ964-44-4-2-244-4222-24-4-42-21-2-2-1-12221-22-22-442-1-1-2-21100001-1-112-22-2-1-11100000000000000000000-33-3300003-33-300000000000000000000000000000000
χ974-44-4-2-24-44222-24-4-42-21-2-2-1-12221-22-2-24-4-21122-1-14i4i−4i−4i1-1-11-22-2211-1-10000000000000000−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i00000000000000000000000000000000
χ984-44-4-2-24-44222-24-4-42-21-2-2-1-12221-22-2-24-4-21122-1-1−4i−4i4i4i1-1-11-22-2211-1-100000000000000002i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii00000000000000000000000000000000
χ994-4-4444-200-4-44-422-24-44-2-2-4422-2-42-2200000000000000-22-22000000004i−4i−4i4i000000000000000000000000000000−2i2i2i−2i00000000000000000000000000
χ1004-4-4444-200-4-44-422-24-44-2-2-4422-2-42-2200000000000000-22-2200000000−4i4i4i−4i0000000000000000000000000000002i−2i−2i2i00000000000000000000000000
χ1014-4-444-2400-4242-4-44-2-4-24-22-2-42-22-4420000000000−2i22i22i2−2i2-22-22000000000000000000000000−2i22i2i2−i2i2i2−i2−i22i2−2i2−i2i2−i2−i2i2i200000000000000000000000000000000
χ1024-4-444-2400-4242-4-44-2-4-24-22-2-42-22-44200000000002i2−2i2−2i22i2-22-220000000000000000000000002i2−2i2−i2i2−i2−i2i2i2−2i22i2i2−i2i2i2−i2−i200000000000000000000000000000000
χ1034-4-44-244002-4-2-4-4-4442-2-242-22-4422-2-40000000000−2i22i22i2−2i2-22-22000000000000000000000000i2−i2−2i22i2i2i2−i2−i2−i2i22i2−2i2−i2−i2i2i200000000000000000000000000000000
χ1044-4-44-244002-4-2-4-4-4442-2-242-22-4422-2-400000000002i2−2i2−2i22i2-22-22000000000000000000000000−i2i22i2−2i2−i2−i2i2i2i2−i2−2i22i2i2i2−i2−i200000000000000000000000000000000
χ1054-4-44-2-240022-22-4-44-221-2-2-1122-2-12-2200003i−3i00−3i3i−2i22i22i2−2i21-11-100003i−3i−3i3i0000000000000000i2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23−i2i2−i2i2−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ2300000000000000000000000000000000
χ1064-4-44-2-240022-22-4-44-221-2-2-1122-2-12-2200003i−3i00−3i3i2i2−2i2−2i22i21-11-100003i−3i−3i3i0000000000000000−i2i2−i2i2−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23i2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ2300000000000000000000000000000000
χ1074-4-44-2-240022-22-4-44-221-2-2-1122-2-12-220000−3i3i003i−3i−2i22i22i2−2i21-11-10000−3i3i3i−3i0000000000000000i2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ2300000000000000000000000000000000
χ1084-4-44-2-240022-22-4-44-221-2-2-1122-2-12-220000−3i3i003i−3i2i2−2i2−2i22i21-11-10000−3i3i3i−3i0000000000000000−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ23i2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ2300000000000000000000000000000000
χ1098888-4-4-488-4-4-4-4-4-4-4-4-4222222222222-4-4-4-422-4-4220000-1-1-1-12222-1-1-1-10000000000000000000000000000000000000000000000000000000000000000
χ1108888-4-4-4-8-8-4-4-4-4-4-4-4-4-42222222222224444-2-244-2-20000-1-1-1-1-2-2-2-211110000000000000000000000000000000000000000000000000000000000000000
χ11188-8-88-4-4008-4-844-444-8-4-42-44-42-2444-20000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8-48-400-484-84-44-84-42-4-442-444-2-240000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ11388-8-8-4-4-400-4-4444-44442222-222-2-2-2-2-200006i−6i006i−6i0000-1-1110000−3i3i−3i3i0000000000000000000000000000000000000000000000000000000000000000
χ11488-8-8-4-4-400-4-4444-44442222-222-2-2-2-2-20000−6i6i00−6i6i0000-1-11100003i−3i3i−3i0000000000000000000000000000000000000000000000000000000000000000
χ1158-88-8-4-4-48-8444-4-4444-4222-2-2-2-2-222-2244-44-2-2-4-4220000-111-1-22-2211-1-10000000000000000000000000000000000000000000000000000000000000000
χ1168-88-8-4-4-4-88444-4-4444-4222-2-2-2-2-222-22-4-44-42244-2-20000-111-12-22-2-1-1110000000000000000000000000000000000000000000000000000000000000000
χ1178-8-888-4-400-848444-4-4-8-4-424-44-2244-4-2000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1188-8-88-48-4004-8-4-844-484-42-44-4-24-44-224000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-8-88-4-4-40044-4444-4-44222-22-2-22-2-22-200006i−6i00−6i6i0000-11-110000−3i3i3i−3i0000000000000000000000000000000000000000000000000000000000000000
χ1208-8-88-4-4-40044-4444-4-44222-22-2-22-2-22-20000−6i6i006i−6i0000-11-1100003i−3i−3i3i0000000000000000000000000000000000000000000000000000000000000000

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