Finite Group Databasebeta

← Group #13155595

Character table — Group #13155595

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size1111111122222222222222222222222244444444444444444444444466668888888812121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212181818183636363636363636363636363636363654545454
order122244443336666666661212121212121212121212123336666666661212121212121212121212128888366612121212224466666666666666661212121212121212121212121212121224242424242424242424242424242424444488881212121224242424242424248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-11-111-1-111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-11-11-1-111-1-111-1-1-1-11111-1-111-1-111-1-1-1-111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111111111111111-1-1-1-1111111111-11-111-1-111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111111111111111111111111111111-1-1-1-111111111-11-11-1-111-1-111-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111
χ811111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1
χ91111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i1111-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1i−ii−i11-1-1ii−i−iii−i−iii−i−i
χ101111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i1111-1-1-1-11-1-1111-1-111-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i-1-111i−i−ii-1-111ii−i−i−i−iii−i−iii
χ111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i1111-1-1-1-1-111-1-1-111-1-111-1-1-1-1111111-1-111-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111−iii−i-1-111−i−iiiii−i−i−i−iii
χ121111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i1111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111iiii−i−i−i−iiiii−i−i−i−i11-1-1−ii−ii11-1-1−i−iii−i−iiiii−i−i
χ131111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii1111-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1−ii−ii11-1-1−i−iii−i−iii−i−iii
χ141111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii1111-1-1-1-11-1-1111-1-111-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii-1-111−iii−i-1-111−i−iiiii−i−iii−i−i
χ151111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii1111-1-1-1-1-111-1-1-111-1-111-1-1-1-1111111-1-111-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111i−i−ii-1-111ii−i−i−i−iiiii−i−i
χ161111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii1111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−i−i−iiiii−i−i−i−iiiii11-1-1i−ii−i11-1-1ii−i−iii−i−i−i−iii
χ172222222222-1222222-1-1-12222-1-1-1-122222-1-122-1-1-1-12-1-122-1-1-1-1-1-1-1-1220000-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000022220000-1-1-1-1000000000000
χ182222222222-1222222-1-1-12222-1-1-1-122222-1-122-1-1-1-12-1-122-1-1-1-1-1-1-1-1220000-1-1-1-1-1-1-1-12-22-222-2-2-1-111-1-1-1-1111122-2-2-1-111-1-1-1-111110000000000000000-2-2-2-200001111000000000000
χ192222222222-1222222-1-1-12222-1-1-1-122222-1-122-1-1-1-12-1-122-1-1-1-1-1-1-1-1220000-1-1-1-1-1-1-1-1-22-22-2-22211-1-11111-1-1-1-1-2-22211-1-11111-1-1-1-10000000000000000-2-2-2-200001111000000000000
χ202222222222-1222222-1-1-12222-1-1-1-122222-1-122-1-1-1-12-1-122-1-1-1-1-1-1-1-1220000-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111-2-2-2-2111111111111000000000000000022220000-1-1-1-1000000000000
χ21222222222-1222-1-12-122222-1-1222222-1-1-12-1-1-122-1-1-12-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1020200-1-100220000-1-1-1-100-1-100220000-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-10000002200000000-1-1-1-10000
χ22222222222-1222-1-12-122222-1-1222222-1-1-12-1-1-122-1-1-12-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-10-20-2001100-2-200001111001100-2-20000111122-1-122-1-1-1-1-1-1-1-1-1-1000000-2-20000000011110000
χ23222222222-1222-1-12-122222-1-1222222-1-1-12-1-1-122-1-1-12-1-1-12222-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1020200-1-100220000-1-1-1-100-1-100220000-1-1-1-1-2-211-2-21111111111000000-2-20000000011110000
χ24222222222-1222-1-12-122222-1-1222222-1-1-12-1-1-122-1-1-12-1-1-12222-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-10-20-2001100-2-200001111001100-2-200001111-2-211-2-211111111110000002200000000-1-1-1-10000
χ2522222222-122-1-122-12222-1-1222222-1-122-1-12-1-1-1-122-1-12-1-1-1-1-1-12222-1-12222-1-1-1-1-1-1-1-12020-1-1002200-1-1-1-10000-1-1002200-1-1-1-10000-1-122-1-122-1-1-1-1-1-1-1-1000022000000-1-1-1-100000000
χ2622222222-122-1-122-12222-1-1222222-1-122-1-12-1-1-1-122-1-12-1-1-1-1-1-12222-1-12222-1-1-1-1-1-1-1-1-20-201100-2-200111100001100-2-20011110000-1-122-1-122-1-1-1-1-1-1-1-10000-2-2000000111100000000
χ2722222222-122-1-122-12222-1-1222222-1-122-1-12-1-1-1-122-1-12-1-1-1-1-1-12222-1-1-2-2-2-2-1-1-1-1-1-1-1-12020-1-1002200-1-1-1-10000-1-1002200-1-1-1-1000011-2-211-2-2111111110000-2-2000000111100000000
χ2822222222-122-1-122-12222-1-1222222-1-122-1-12-1-1-1-122-1-12-1-1-1-1-1-12222-1-1-2-2-2-2-1-1-1-1-1-1-1-1-20-201100-2-200111100001100-2-2001111000011-2-211-2-211111111000022000000-1-1-1-100000000
χ292222-2-2-2-222-1222222-1-1-1-2-2-2-21111-2-2-2-22-1-122-1-1-1-12-1-1-2-211111111-2-20000-1-1-1-1111122-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111000000000000000022-2-20000-1-111000000000000
χ302222-2-2-2-222-1222222-1-1-1-2-2-2-21111-2-2-2-22-1-122-1-1-1-12-1-1-2-211111111-2-20000-1-1-1-111112-2-2222-2-2-1-111-1-1-1-11111-2-22211-1-11111-1-1-1-10000000000000000-2-222000011-1-1000000000000
χ312222-2-2-2-222-1222222-1-1-1-2-2-2-21111-2-2-2-22-1-122-1-1-1-12-1-1-2-211111111-2-20000-1-1-1-11111-222-2-2-22211-1-11111-1-1-1-122-2-2-1-111-1-1-1-111110000000000000000-2-222000011-1-1000000000000
χ322222-2-2-2-222-1222222-1-1-1-2-2-2-21111-2-2-2-22-1-122-1-1-1-12-1-1-2-211111111-2-20000-1-1-1-11111-2-222-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000022-2-20000-1-111000000000000
χ332222-2-2-2-22-1222-1-12-1222-2-211-2-2-2-2-2-211-12-1-1-122-1-1-12-111-2-2-2-21111112i2i−2i−2i-1-1-1-11111020-200-1-100220000-1-1-1-1001100-2-2000011112i2i−i−i−2i−2iii−i−i−i−iiiii0000002i−2i00000000−i−iii0000
χ342222-2-2-2-22-1222-1-12-1222-2-211-2-2-2-2-2-211-12-1-1-122-1-1-12-111-2-2-2-21111112i2i−2i−2i-1-1-1-111110-202001100-2-20000111100-1-100220000-1-1-1-12i2i−i−i−2i−2iii−i−i−i−iiiii000000−2i2i00000000ii−i−i0000
χ352222-2-2-2-22-1222-1-12-1222-2-211-2-2-2-2-2-211-12-1-1-122-1-1-12-111-2-2-2-2111111−2i−2i2i2i-1-1-1-11111020-200-1-100220000-1-1-1-1001100-2-200001111−2i−2iii2i2i−i−iiiii−i−i−i−i000000−2i2i00000000ii−i−i0000
χ362222-2-2-2-22-1222-1-12-1222-2-211-2-2-2-2-2-211-12-1-1-122-1-1-12-111-2-2-2-2111111−2i−2i2i2i-1-1-1-111110-202001100-2-20000111100-1-100220000-1-1-1-1−2i−2iii2i2i−i−iiiii−i−i−i−i0000002i−2i00000000−i−iii0000
χ372222-2-2-2-2-122-1-122-1222211-2-2-2-2-2-211-2-2-1-12-1-1-1-122-1-12111111-2-2-2-2112i2i−2i−2i-1-1-1-1111120-20-1-1002200-1-1-1-100001100-2-20011110000−i−i2i2iii−2i−2i−i−i−i−iiiii00002i−2i000000−i−iii00000000
χ382222-2-2-2-2-122-1-122-1222211-2-2-2-2-2-211-2-2-1-12-1-1-1-122-1-12111111-2-2-2-2112i2i−2i−2i-1-1-1-11111-20201100-2-20011110000-1-1002200-1-1-1-10000−i−i2i2iii−2i−2i−i−i−i−iiiii0000−2i2i000000ii−i−i00000000
χ392222-2-2-2-2-122-1-122-1222211-2-2-2-2-2-211-2-2-1-12-1-1-1-122-1-12111111-2-2-2-211−2i−2i2i2i-1-1-1-1111120-20-1-1002200-1-1-1-100001100-2-20011110000ii−2i−2i−i−i2i2iiiii−i−i−i−i0000−2i2i000000ii−i−i00000000
χ402222-2-2-2-2-122-1-122-1222211-2-2-2-2-2-211-2-2-1-12-1-1-1-122-1-12111111-2-2-2-211−2i−2i2i2i-1-1-1-11111-20201100-2-20011110000-1-1002200-1-1-1-10000ii−2i−2i−i−i2i2iiiii−i−i−i−i00002i−2i000000−i−iii00000000
χ4122-2-222-2-2222-2-2-2-2222-2-2-2-2-2-222-2-22222222-2-2-2-2-2-2222-2-222-2-222-2-2222-22-22-2-2222-2-20000000000000000000000000000000000002-22-22-22-222-2-222-2-2000000000000000000000000
χ4222-2-222-2-2222-2-2-2-2222-2-2-2-2-2-222-2-22222222-2-2-2-2-2-2222-2-222-2-222-2-222-22-222-2-2222-2-2000000000000000000000000000000000000-22-22-22-22-2-222-2-222000000000000000000000000
χ4322-2-222-2-22-12-2-2112-12-2-2-2-21122-2-222-1-1-12-111-2-211-12-11122-2-2-1-111-1-12-22-2-111-1-1-111000000−i3i300000000−i3−i3i3i300−i3i300000000−i3−i3i3i32-2-112-2-11-1-111-1-1110000000000000000−i3i3−i3i30000
χ4422-2-222-2-22-12-2-2112-12-2-2-2-21122-2-222-1-1-12-111-2-211-12-11122-2-2-1-111-1-12-22-2-111-1-1-111000000i3−i300000000i3i3−i3−i300i3−i300000000i3i3−i3−i32-2-112-2-11-1-111-1-1110000000000000000i3−i3i3−i30000
χ4522-2-222-2-22-12-2-2112-12-2-2-2-21122-2-222-1-1-12-111-2-211-12-11122-2-2-1-111-1-1-22-22-111-1-1-111000000−i3i300000000−i3−i3i3i300−i3i300000000−i3−i3i3i3-221-1-221-111-1-111-1-10000000000000000i3−i3i3−i30000
χ4622-2-222-2-22-12-2-2112-12-2-2-2-21122-2-222-1-1-12-111-2-211-12-11122-2-2-1-111-1-1-22-22-111-1-1-111000000i3−i300000000i3i3−i3−i300i3−i300000000i3i3−i3−i3-221-1-221-111-1-111-1-10000000000000000−i3i3−i3i30000
χ4722-2-222-2-2-12211-2-2-122-2-211-2-222-2-2-1-122-1-121111-2-2-1-1211-1-11122-2-2-1-12-22-2-111-1-1-1110000−i3i3000000−i3−i3i3i30000−i3i3000000−i3−i3i3i30000-112-2-112-2-1-111-1-111000000000000−i3i3−i3i300000000
χ4822-2-222-2-2-12211-2-2-122-2-211-2-222-2-2-1-122-1-121111-2-2-1-1211-1-11122-2-2-1-12-22-2-111-1-1-1110000i3−i3000000i3i3−i3−i30000i3−i3000000i3i3−i3−i30000-112-2-112-2-1-111-1-111000000000000i3−i3i3−i300000000
χ4922-2-222-2-2-12211-2-2-122-2-211-2-222-2-2-1-122-1-121111-2-2-1-1211-1-11122-2-2-1-1-22-22-111-1-1-1110000−i3i3000000−i3−i3i3i30000−i3i3000000−i3−i3i3i300001-1-221-1-2211-1-111-1-1000000000000i3−i3i3−i300000000
χ5022-2-222-2-2-12211-2-2-122-2-211-2-222-2-2-1-122-1-121111-2-2-1-1211-1-11122-2-2-1-1-22-22-111-1-1-1110000i3−i3000000i3i3−i3−i30000i3−i3000000i3i3−i3−i300001-1-221-1-2211-1-111-1-1000000000000−i3i3−i3i300000000
χ5122-2-2-2-222222-2-2-2-2222-2-22222-2-222-2-2-2-2222-2-2-2-2-2-222222-2-222-2-222-2-22i−2i−2i2i2-2-22-2-2220000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ5222-2-2-2-222222-2-2-2-2222-2-22222-2-222-2-2-2-2222-2-2-2-2-2-222222-2-222-2-222-2-2−2i2i2i−2i2-2-22-2-222000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ5322-2-2-2-2222-12-2-2112-12-2-222-1-1-2-222-2-211-12-111-2-211-12-1-1-1-2-22211-1-1112i−2i−2i2i-111-111-1-1000000−i3i300000000−i3−i3i3i300i3−i300000000i3i3−i3−i32i−2i−ii−2i2ii−i−i−iiiii−i−i00000000000000003−3−330000
χ5422-2-2-2-2222-12-2-2112-12-2-222-1-1-2-222-2-211-12-111-2-211-12-1-1-1-2-22211-1-1112i−2i−2i2i-111-111-1-1000000i3−i300000000i3i3−i3−i300−i3i300000000−i3−i3i3i32i−2i−ii−2i2ii−i−i−iiiii−i−i0000000000000000−333−30000
χ5522-2-2-2-2222-12-2-2112-12-2-222-1-1-2-222-2-211-12-111-2-211-12-1-1-1-2-22211-1-111−2i2i2i−2i-111-111-1-1000000−i3i300000000−i3−i3i3i300i3−i300000000i3i3−i3−i3−2i2ii−i2i−2i−iiii−i−i−i−iii0000000000000000−333−30000
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χ1204-44-4−4i4i−4i4i-2-24-22-2222-44-42i−2i2i−2i−4i4i−4i4i2i−2i2i−2i1-2-21-1-22-22-122−ii2i−2i2i−2i2i−2i2i−2i−ii000011-1-1−ii−ii000000000000000000000000000000000000000000003ζ5+3ζ13−3ζ5−3ζ133ζ5+3ζ13−3ζ5−3ζ13−3ζ7−3ζ233ζ7+3ζ23−3ζ7−3ζ233ζ7+3ζ23000000000000000000000000
χ1214-4-444i−4i−4i4i4-24-442-2-42-4-44−4i4i2i−2i4i−4i−4i4i4i−4i−2i2i-24-22-2-442-22-422i−2i4i−4i−4i4i−2i2i2i−2i−2i2i0000-22-22−2i2i2i−2i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ1224-4-444i−4i−4i4i4-2-2-442-2-4222-2−4i4i2i−2i−2i2i2i−2i4i−4i−2i2i-2-212-22-2-1122-12i−2i−2i2i2i−2ii−i−ii−2i2i00001-11-1i−i−ii0000000000−2i32i30000i3−i3i3−i300000023−230000−33−330000000000000000000000000000000000000000
χ1234-4-444i−4i−4i4i4-2-2-442-2-4222-2−4i4i2i−2i−2i2i2i−2i4i−4i−2i2i-2-212-22-2-1122-12i−2i−2i2i2i−2ii−i−ii−2i2i00001-11-1i−i−ii00000000002i3−2i30000−i3i3−i3i3000000−232300003−33−30000000000000000000000000000000000000000
χ1244-4-444i−4i−4i4i-2442-2-442-4-4-442i−2i−4i4i4i−4i−4i4i−2i2i4i−4i-2-242-22-2-4422-42i−2i−2i2i2i−2i4i−4i−4i4i−2i2i0000-22-22−2i2i2i−2i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ1254-4-444i−4i−4i4i-24-22-2-442-422-22i−2i−4i4i−2i2i2i−2i−2i2i4i−4i-21-22-2-112-22-122i−2ii−i−ii−2i2i2i−2i−2i2i00001-11-1i−i−ii00000000−2i32i300i3−i3i3−i30000000023−2300−33−3300000000000000000000000000000000000000000000
χ1264-4-444i−4i−4i4i-24-22-2-442-422-22i−2i−4i4i−2i2i2i−2i−2i2i4i−4i-21-22-2-112-22-122i−2ii−i−ii−2i2i2i−2i−2i2i00001-11-1i−i−ii000000002i3−2i300−i3i3−i3i300000000−2323003−33−300000000000000000000000000000000000000000000
χ1274-4-444i−4i−4i4i-2-242-22-222-4-442i−2i2i−2i4i−4i−4i4i−2i2i−2i2i1-2-2-112-22-2-122−ii−2i2i2i−2i−2i2i2i−2ii−i00001-11-1i−i−ii000000000000000000000000000000000000000000003ζ7+3ζ23−3ζ7−3ζ23−3ζ7−3ζ233ζ7+3ζ23−3ζ5−3ζ133ζ5+3ζ133ζ5+3ζ13−3ζ5−3ζ13000000000000000000000000
χ1284-4-444i−4i−4i4i-2-242-22-222-4-442i−2i2i−2i4i−4i−4i4i−2i2i−2i2i1-2-2-112-22-2-122−ii−2i2i2i−2i−2i2i2i−2ii−i00001-11-1i−i−ii00000000000000000000000000000000000000000000−3ζ7−3ζ233ζ7+3ζ233ζ7+3ζ23−3ζ7−3ζ233ζ5+3ζ13−3ζ5−3ζ13−3ζ5−3ζ133ζ5+3ζ13000000000000000000000000
χ1294-4-44−4i4i4i−4i4-24-442-2-42-4-444i−4i−2i2i−4i4i4i−4i−4i4i2i−2i-24-22-2-442-22-42−2i2i−4i4i4i−4i2i−2i−2i2i2i−2i0000-22-222i−2i−2i2i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ1304-4-44−4i4i4i−4i4-2-2-442-2-4222-24i−4i−2i2i2i−2i−2i2i−4i4i2i−2i-2-212-22-2-1122-1−2i2i2i−2i−2i2i−iii−i2i−2i00001-11-1−iii−i0000000000−2i32i30000i3−i3i3−i3000000−232300003−33−30000000000000000000000000000000000000000
χ1314-4-44−4i4i4i−4i4-2-2-442-2-4222-24i−4i−2i2i2i−2i−2i2i−4i4i2i−2i-2-212-22-2-1122-1−2i2i2i−2i−2i2i−iii−i2i−2i00001-11-1−iii−i00000000002i3−2i30000−i3i3−i3i300000023−230000−33−330000000000000000000000000000000000000000
χ1324-4-44−4i4i4i−4i-2442-2-442-4-4-44−2i2i4i−4i−4i4i4i−4i2i−2i−4i4i-2-242-22-2-4422-4−2i2i2i−2i−2i2i−4i4i4i−4i2i−2i0000-22-222i−2i−2i2i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ1334-4-44−4i4i4i−4i-24-22-2-442-422-2−2i2i4i−4i2i−2i−2i2i2i−2i−4i4i-21-22-2-112-22-12−2i2i−iii−i2i−2i−2i2i2i−2i00001-11-1−iii−i00000000−2i32i300i3−i3i3−i300000000−2323003−33−300000000000000000000000000000000000000000000
χ1344-4-44−4i4i4i−4i-24-22-2-442-422-2−2i2i4i−4i2i−2i−2i2i2i−2i−4i4i-21-22-2-112-22-12−2i2i−iii−i2i−2i−2i2i2i−2i00001-11-1−iii−i000000002i3−2i300−i3i3−i3i30000000023−2300−33−3300000000000000000000000000000000000000000000
χ1354-4-44−4i4i4i−4i-2-242-22-222-4-44−2i2i−2i2i−4i4i4i−4i2i−2i2i−2i1-2-2-112-22-2-122i−i2i−2i−2i2i2i−2i−2i2i−ii00001-11-1−iii−i00000000000000000000000000000000000000000000−3ζ5−3ζ133ζ5+3ζ133ζ5+3ζ13−3ζ5−3ζ133ζ7+3ζ23−3ζ7−3ζ23−3ζ7−3ζ233ζ7+3ζ23000000000000000000000000
χ1364-4-44−4i4i4i−4i-2-242-22-222-4-44−2i2i−2i2i−4i4i4i−4i2i−2i2i−2i1-2-2-112-22-2-122i−i2i−2i−2i2i2i−2i−2i2i−ii00001-11-1−iii−i000000000000000000000000000000000000000000003ζ5+3ζ13−3ζ5−3ζ13−3ζ5−3ζ133ζ5+3ζ13−3ζ7−3ζ233ζ7+3ζ233ζ7+3ζ23−3ζ7−3ζ23000000000000000000000000
χ13788888888-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-42222222222222222222222220000-1-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000000000000000000000000000
χ1388888-8-8-8-8-4-4-4-4-4-4-4-4-4-4-4-4444444444444222222222222-2-2-2-2-2-2-2-2-2-2-2-20000-1-1-1-111110000000000000000000000000000000000000000000000000000000000000000000000000000
χ13988-8-888-8-8-4-4-44444-4-4-4444444-4-444-4-4-4-4222-2-2-2-2-2-2222-2-222-2-222-2-2220000-111-1-1-1110000000000000000000000000000000000000000000000000000000000000000000000000000
χ14088-8-8-8-888-4-4-44444-4-4-444-4-4-4-444-4-44444222-2-2-2-2-2-222222-2-222-2-222-2-20000-111-111-1-10000000000000000000000000000000000000000000000000000000000000000000000000000
χ1418-88-88i−8i8i−8i-4-4-4-44-44444-44−4i4i−4i4i−4i4i−4i4i−4i4i−4i4i2222-22-22-2-2-2-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000-1-111−ii−ii0000000000000000000000000000000000000000000000000000000000000000000000000000
χ1428-88-8−8i8i−8i8i-4-4-4-44-44444-444i−4i4i−4i4i−4i4i−4i4i−4i4i−4i2222-22-22-2-2-2-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000-1-111i−ii−i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ1438-8-888i−8i−8i8i-4-4-44-44-44444-44i−4i4i−4i−4i4i4i−4i−4i4i−4i4i222-22-22-22-2-2-2−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i0000-11-11−iii−i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ1448-8-88−8i8i8i−8i-4-4-44-44-44444-4−4i4i−4i4i4i−4i−4i4i4i−4i4i−4i222-22-22-22-2-2-22i−2i−2i2i2i−2i−2i2i2i−2i−2i2i0000-11-11i−i−ii0000000000000000000000000000000000000000000000000000000000000000000000000000

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