Finite Group Databasebeta

← Group #11789868

Character table — Group #11789868

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222222222222222222222224444444444444444444444444444444444444444444444444444444412121212121212121212121212121212121212121212121224242424242424242424242472727272
order1222222233444466666666666666121212121212121234444666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212128888888824242424242424242424242424242424444412121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ61111111111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ71111111111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-111
χ81111111111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1
χ911-1-1-111-1111-11-11111-1-1-11-1-1-1-1-1111-1-111-1-11i−ii−i11-1-11-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1i−i1-1ii−i−i11-1-11-1i−i
χ1011-1-1-111-1111-11-11111-1-1-11-1-1-1-1-1111-1-111-1-11i−ii−i11-1-11-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1−ii-11−i−iii-1-111-11−ii
χ1111-1-1-111-1111-11-11111-1-1-11-1-1-1-1-1111-1-111-1-11i−ii−i11-1-11-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−iii-1-111−i−i−i−iiiii-1-1-1-11111i−i1-1ii−i−i11-1-1-11−ii
χ1211-1-1-111-1111-11-11111-1-1-11-1-1-1-1-1111-1-111-1-11i−ii−i11-1-11-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−iii-1-111−i−i−i−iiiii-1-1-1-11111−ii-11−i−iii-1-1111-1i−i
χ1311-1-1-111-1111-11-11111-1-1-11-1-1-1-1-1111-1-111-1-11−ii−ii11-1-11-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiii−i−i-1-111iiii−i−i−i−i-1-1-1-11111i−i-11ii−i−i-1-1111-1−ii
χ1411-1-1-111-1111-11-11111-1-1-11-1-1-1-1-1111-1-111-1-11−ii−ii11-1-11-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiii−i−i-1-111iiii−i−i−i−i-1-1-1-11111−ii1-1−i−iii11-1-1-11i−i
χ1511-1-1-111-1111-11-11111-1-1-11-1-1-1-1-1111-1-111-1-11−ii−ii11-1-11-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1i−i-11ii−i−i-1-111-11i−i
χ1611-1-1-111-1111-11-11111-1-1-11-1-1-1-1-1111-1-111-1-11−ii−ii11-1-11-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1−ii1-1−i−iii11-1-11-1−ii
χ172222222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2222-2-222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000
χ182222222222-2-2-2-222222222222222-2-2-2-2-2-2-2-22-2-2222222222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-222220000000000000000000000000000000000000000
χ19222222222-1222222-1-122-1222-1-1-1-122222222-12222-1-1-1-1-1-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002222-1-1-1-1-1-1-1-10000
χ20222222222-1222222-1-122-1222-1-1-1-122222222-12222-1-1-1-1-1-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-2111111110000
χ21222222222-1222222-1-122-1222-1-1-1-122222222-1-2-2-2-2-1-1-1-1-1-1-1-2-211-2-211-2-211-2-211-1-1-1-1-1-1-1-1-1-1-1-1111111111111111100000000000000000000000022-2-2-1-1-1-111110000
χ22222222222-1222222-1-122-1222-1-1-1-122222222-1-2-2-2-2-1-1-1-1-1-1-1-2-211-2-211-2-211-2-211-1-1-1-1-1-1-1-1-1-1-1-11111111111111111000000000000000000000000-2-2221111-1-1-1-10000
χ23222222222-1-2-2-2-222-1-122-1222-1-1-1-1-2-2-2-2-2-2-2-2-122-2-2-1-1-1-1-1-1-122-1-1-2-21122-1-1-2-211111111111111-1-1-1-11111-1-1-1-111110000000000000000000000000000−i3i3−i3i3−i3i3−i3i30000
χ24222222222-1-2-2-2-222-1-122-1222-1-1-1-1-2-2-2-2-2-2-2-2-122-2-2-1-1-1-1-1-1-122-1-1-2-21122-1-1-2-211111111111111-1-1-1-11111-1-1-1-111110000000000000000000000000000i3−i3i3−i3i3−i3i3−i30000
χ25222222222-1-2-2-2-222-1-122-1222-1-1-1-1-2-2-2-2-2-2-2-2-1-2-222-1-1-1-1-1-1-1-2-21122-1-1-2-21122-1-11111111111111111-1-1-1-11111-1-1-1-10000000000000000000000000000−i3i3−i3i3i3−i3i3−i30000
χ26222222222-1-2-2-2-222-1-122-1222-1-1-1-1-2-2-2-2-2-2-2-2-1-2-222-1-1-1-1-1-1-1-2-21122-1-1-2-21122-1-11111111111111111-1-1-1-11111-1-1-1-10000000000000000000000000000i3−i3i3−i3−i3i3−i3i30000
χ2722222222-122222-1-122-1-12-1-1-12222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-122-1-122-1-122-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2822222222-122222-1-122-1-12-1-1-12222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-122-1-122-1-122-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111110000000000000000
χ2922222222-122222-1-122-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-111-2-211-2-211-2-211-2-22222-1-1-1-1-1-1-1-111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ3022222222-122222-1-122-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-111-2-211-2-211-2-211-2-22222-1-1-1-1-1-1-1-11111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-10000000000000000
χ3122222222-12-2-2-2-2-1-122-1-12-1-1-1222211111111-122-2-2-1-1-1-1-1-1-1-1-12211-2-2-1-12211-2-2-2-2-2-211111111-1-1-1-11111-1-1-1-111110000000033−3−333−3−333−3−333−3−30000000000000000
χ3222222222-12-2-2-2-2-1-122-1-12-1-1-1222211111111-122-2-2-1-1-1-1-1-1-1-1-12211-2-2-1-12211-2-2-2-2-2-211111111-1-1-1-11111-1-1-1-1111100000000−3−333−3−333−3−333−3−3330000000000000000
χ3322222222-12-2-2-2-2-1-122-1-12-1-1-1222211111111-1-2-222-1-1-1-1-1-1-111-2-2-1-12211-2-2-1-122-2-2-2-2111111111111-1-1-1-11111-1-1-1-10000000033−3−333−3−3−3−333−3−3330000000000000000
χ3422222222-12-2-2-2-2-1-122-1-12-1-1-1222211111111-1-2-222-1-1-1-1-1-1-111-2-2-1-12211-2-2-1-122-2-2-2-2111111111111-1-1-1-11111-1-1-1-100000000−3−333−3−33333−3−333−3−30000000000000000
χ3522-2-2-222-222-22-222222-2-2-22-2-2-2-2-22-2-222-2-22222i−2i−2i2i22-2-22-2-22i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i-2-222-2-2-2-222222i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000000000000000
χ3622-2-2-222-222-22-222222-2-2-22-2-2-2-2-22-2-222-2-2222−2i2i2i−2i22-2-22-2-2−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i-2-222-2-2-2-22222−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i0000000000000000000000000000000000000000
χ3722-2-2-222-22-12-22-222-1-1-2-212-2-2111-122-2-222-2-2-12i−2i2i−2i-1-111-1112i2i−i−i2i2i−i−i−2i−2iii−2i−2iii-1-111-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii0000000000000000000000002i−2i2-2−i−iii-1-1110000
χ3822-2-2-222-22-12-22-222-1-1-2-212-2-2111-122-2-222-2-2-12i−2i2i−2i-1-111-1112i2i−i−i2i2i−i−i−2i−2iii−2i−2iii-1-111-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii000000000000000000000000−2i2i-22ii−i−i11-1-10000
χ3922-2-2-222-22-12-22-222-1-1-2-212-2-2111-122-2-222-2-2-1−2i2i−2i2i-1-111-111−2i−2iii−2i−2iii2i2i−i−i2i2i−i−i-1-111-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i0000000000000000000000002i−2i-22−i−iii11-1-10000
χ4022-2-2-222-22-12-22-222-1-1-2-212-2-2111-122-2-222-2-2-1−2i2i−2i2i-1-111-111−2i−2iii−2i−2iii2i2i−i−i2i2i−i−i-1-111-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i000000000000000000000000−2i2i2-2ii−i−i-1-1110000
χ4122-2-2-222-22-1-22-2222-1-1-2-212-2-2111-1-2-222-2-222-12i−2i−2i2i-1-111-1112i2i−i−i−2i−2iii−2i−2iii2i2i−i−i11-1-11111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i00000000000000000000000000003−3−33−i3i3i3−i30000
χ4222-2-2-222-22-1-22-2222-1-1-2-212-2-2111-1-2-222-2-222-12i−2i−2i2i-1-111-1112i2i−i−i−2i−2iii−2i−2iii2i2i−i−i11-1-11111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i0000000000000000000000000000−333−3i3−i3−i3i30000
χ4322-2-2-222-22-1-22-2222-1-1-2-212-2-2111-1-2-222-2-222-1−2i2i2i−2i-1-111-111−2i−2iii2i2i−i−i2i2i−i−i−2i−2iii11-1-11111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii00000000000000000000000000003−3−33i3−i3−i3i30000
χ4422-2-2-222-22-1-22-2222-1-1-2-212-2-2111-1-2-222-2-222-1−2i2i2i−2i-1-111-111−2i−2iii2i2i−i−i2i2i−i−i−2i−2iii11-1-11111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii0000000000000000000000000000−333−3−i3i3i3−i30000
χ4522-2-2-222-2-122-22-2-1-12211-2-111-2-2-22-1-111-1-111-12i−2i2i−2i-1-111-111−i−i2i2i−i−i2i2iii−2i−2iii−2i−2i22-2-2-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii2i2i−2i−2i22-2-2−i−i−i−iiiii-1-1-1-111110000000000000000
χ4622-2-2-222-2-122-22-2-1-12211-2-111-2-2-22-1-111-1-111-12i−2i2i−2i-1-111-111−i−i2i2i−i−i2i2iii−2i−2iii−2i−2i22-2-2-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii−2i−2i2i2i-2-222iiii−i−i−i−i1111-1-1-1-10000000000000000
χ4722-2-2-222-2-122-22-2-1-12211-2-111-2-2-22-1-111-1-111-1−2i2i−2i2i-1-111-111ii−2i−2iii−2i−2i−i−i2i2i−i−i2i2i22-2-2-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i2i2i−2i−2i-2-222−i−i−i−iiiii1111-1-1-1-10000000000000000
χ4822-2-2-222-2-122-22-2-1-12211-2-111-2-2-22-1-111-1-111-1−2i2i−2i2i-1-111-111ii−2i−2iii−2i−2i−i−i2i2i−i−i2i2i22-2-2-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i−2i−2i2i2i22-2-2iiii−i−i−i−i-1-1-1-111110000000000000000
χ4922-2-2-222-2-12-22-22-1-12211-2-111-2-2-2211-1-111-1-1-12i−2i−2i2i-1-111-111−i−i2i2iii−2i−2iii−2i−2i−i−i2i2i-2-2221111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i00000000−i3−i3i3i3i3i3−i3−i3−3−33333−3−30000000000000000
χ5022-2-2-222-2-12-22-22-1-12211-2-111-2-2-2211-1-111-1-1-12i−2i−2i2i-1-111-111−i−i2i2iii−2i−2iii−2i−2i−i−i2i2i-2-2221111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i00000000i3i3−i3−i3−i3−i3i3i333−3−3−3−3330000000000000000
χ5122-2-2-222-2-12-22-22-1-12211-2-111-2-2-2211-1-111-1-1-1−2i2i2i−2i-1-111-111ii−2i−2i−i−i2i2i−i−i2i2iii−2i−2i-2-2221111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii00000000−i3−i3i3i3i3i3−i3−i333−3−3−3−3330000000000000000
χ5222-2-2-222-2-12-22-22-1-12211-2-111-2-2-2211-1-111-1-1-1−2i2i2i−2i-1-111-111ii−2i−2i−i−i2i2i−i−i2i2iii−2i−2i-2-2221111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii00000000i3i3−i3−i3−i3−i3i3i3−3−33333−3−30000000000000000
χ532-22-222-2-2222-2-22-2-2-2-22222-2-2-2-22222-2-2-2-22220000-2-2222-2-200000000000000002-22-222-2-222-2-2000000000000000000002i−2i2i−2i000000002i−2i2i−2i2i−2i2i−2i0000000000000000
χ542-22-222-2-2222-2-22-2-2-2-22222-2-2-2-22222-2-2-2-22220000-2-2222-2-200000000000000002-22-222-2-222-2-200000000000000000000−2i2i−2i2i00000000−2i2i−2i2i−2i2i−2i2i0000000000000000
χ552-22-222-2-222-222-2-2-2-2-22222-2-2-2-222-2-22222-2-220000-2-2222-2-20000000000000000-22-22-2-222-2-22200000000000000002i−2i2i−2i00002i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ562-22-222-2-222-222-2-2-2-2-22222-2-2-2-222-2-22222-2-220000-2-2222-2-20000000000000000-22-22-2-222-2-2220000000000000000−2i2i−2i2i0000−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ572-22-222-2-2-122-2-2211-2-2-1-12-111-2-222-1-11111-1-1-1000011-1-1-1113−3003−3003−3003−3002-22-2-1-111-1-11133−3−333−3−333−3−333−3−300002i−2i2i−2i−i3i3i3−i3−i3i3i3−i3−ii−ii−ii−ii0000000000000000
χ582-22-222-2-2-122-2-2211-2-2-1-12-111-2-222-1-11111-1-1-1000011-1-1-1113−3003−3003−3003−3002-22-2-1-111-1-11133−3−333−3−333−3−333−3−30000−2i2i−2i2ii3−i3−i3i3i3−i3−i3i3i−ii−ii−ii−i0000000000000000
χ592-22-222-2-2-122-2-2211-2-2-1-12-111-2-222-1-11111-1-1-1000011-1-1-111−3300−3300−3300−33002-22-2-1-111-1-111−3−333−3−333−3−333−3−33300002i−2i2i−2ii3−i3−i3i3i3−i3−i3i3−ii−ii−ii−ii0000000000000000
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χ632-22-222-2-2-12-222-211-2-2-1-12-111-2-22211-1-1-1-111-1000011-1-1-111−33003−300−33003−300-22-2211-1-111-1-1−3−33333−3−3−3−33333−3−32i−2i2i−2i0000−ii−ii−ii−ii−i3i3i3−i3−i3i3i3−i30000000000000000
χ642-22-222-2-2-12-222-211-2-2-1-12-111-2-22211-1-1-1-111-1000011-1-1-111−33003−300−33003−300-22-2211-1-111-1-1−3−33333−3−3−3−33333−3−3−2i2i−2i2i0000i−ii−ii−ii−ii3−i3−i3i3i3−i3−i3i30000000000000000
χ652-2-22-22-222222-2-2-2-2-2-2-2-2-222222-222222-2-2-2-220000-2-2-2-222200000000000000002-2-2222-2-2-2-222000000000000000000002i−2i−2i2i000000002i−2i2i−2i−2i2i−2i2i0000000000000000
χ662-2-22-22-222222-2-2-2-2-2-2-2-2-222222-222222-2-2-2-220000-2-2-2-222200000000000000002-2-2222-2-2-2-22200000000000000000000−2i2i2i−2i00000000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ672-2-22-22-2222-2-222-2-2-2-2-2-2-222222-22-2-2-2-2222220000-2-2-2-22220000000000000000-222-2-2-22222-2-200000000000000002-2-2200002-22-2-22-22000000000000000000000000
χ682-2-22-22-2222-2-222-2-2-2-2-2-2-222222-22-2-2-2-2222220000-2-2-2-22220000000000000000-222-2-2-22222-2-20000000000000000-222-20000-22-222-22-2000000000000000000000000
χ692-2-22-22-22-1222-2-211-2-211-2-1-1-122-22-1-1-1-11111-100001111-1-1-1−i3i300−i3i300i3−i300i3−i3002-2-22-1-11111-1-1−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i300002i−2i−2i2i−333−33−3−33−ii−iii−ii−i0000000000000000
χ702-2-22-22-22-1222-2-211-2-211-2-1-1-122-22-1-1-1-11111-100001111-1-1-1−i3i300−i3i300i3−i300i3−i3002-2-22-1-11111-1-1−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i30000−2i2i2i−2i3−3−33−333−3i−ii−i−ii−ii0000000000000000
χ712-2-22-22-22-1222-2-211-2-211-2-1-1-122-22-1-1-1-11111-100001111-1-1-1i3−i300i3−i300−i3i300−i3i3002-2-22-1-11111-1-1i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i300002i−2i−2i2i3−3−33−333−3−ii−iii−ii−i0000000000000000
χ722-2-22-22-22-1222-2-211-2-211-2-1-1-122-22-1-1-1-11111-100001111-1-1-1i3−i300i3−i300−i3i300−i3i3002-2-22-1-11111-1-1i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i30000−2i2i2i−2i−333−33−3−33i−ii−i−ii−ii0000000000000000
χ732-2-22-22-22-12-2-22211-2-211-2-1-1-122-221111-1-1-1-1-100001111-1-1-1−i3i300i3−i300i3−i300−i3i300-222-211-1-1-1-111−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i32-2-220000-11-111-11-1i3−i3−i3i3−i3i3i3−i30000000000000000
χ742-2-22-22-22-12-2-22211-2-211-2-1-1-122-221111-1-1-1-1-100001111-1-1-1−i3i300i3−i300i3−i300−i3i300-222-211-1-1-1-111−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3-222-200001-11-1-11-11−i3i3i3−i3i3−i3−i3i30000000000000000
χ752-2-22-22-22-12-2-22211-2-211-2-1-1-122-221111-1-1-1-1-100001111-1-1-1i3−i300−i3i300−i3i300i3−i300-222-211-1-1-1-111i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i32-2-220000-11-111-11-1−i3i3i3−i3i3−i3−i3i30000000000000000
χ762-2-22-22-22-12-2-22211-2-211-2-1-1-122-221111-1-1-1-1-100001111-1-1-1i3−i300−i3i300−i3i300i3−i300-222-211-1-1-1-111i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3-222-200001-11-1-11-11i3−i3−i3i3−i3i3i3−i30000000000000000
χ7744444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2144441111111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21111111111111111111111110000000000000000000000000000000000000000
χ7844444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-411111112222222222222222-2-2-2-211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000000000000000
χ7944444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222144-4-41111111-2-2-2-22222-2-2-2-222222222-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-10000000000000000000000000000000000000000
χ8044444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222221-4-44411111112222-2-2-2-22222-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111110000000000000000000000000000000000000000
χ81444-4-4-4-444400004-44-44-44-44-44-4-4-400000000400004-44-4-44-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ82444-4-4-4-444-200004-4-224-4-2-44-4-222200000000-20000-22-222-22000000−2i32i3000000−2i32i30000000000000000−2i32i3−2i32i30000−2i32i3−2i32i30000000000000000000000000000000000000000
χ83444-4-4-4-444-200004-4-224-4-2-44-4-222200000000-20000-22-222-220000002i3−2i30000002i3−2i300000000000000002i3−2i32i3−2i300002i3−2i32i3−2i30000000000000000000000000000000000000000
χ84444-4-4-4-44-240000-224-4-2242-224-4-4-423−2323−2323−2323−23-20000-22-222-220000000000000000000023−2323−2323−2323−2300000000000000000000000000000000000000000000000000000000
χ85444-4-4-4-44-240000-224-4-2242-224-4-4-4−2323−2323−2323−2323-20000-22-222-2200000000000000000000−2323−2323−2323−232300000000000000000000000000000000000000000000000000000000
χ86444-4-4-4-44-2-20000-22-22-22-22-22-222223−2323−2323−2323−23100001-11-1-11-1000000−2i32i3000000−2i32i30000−33−33−33−333i−3i3i−3ii3−i3i3−i33i−3i3i−3ii3−i3i3−i30000000000000000000000000000000000000000
χ87444-4-4-4-44-2-20000-22-22-22-22-22-222223−2323−2323−2323−23100001-11-1-11-10000002i3−2i30000002i3−2i30000−33−33−33−33−3i3i−3i3i−i3i3−i3i3−3i3i−3i3i−i3i3−i3i30000000000000000000000000000000000000000
χ88444-4-4-4-44-2-20000-22-22-22-22-22-2222−2323−2323−2323−2323100001-11-1-11-1000000−2i32i3000000−2i32i300003−33−33−33−3−3i3i−3i3ii3−i3i3−i3−3i3i−3i3ii3−i3i3−i30000000000000000000000000000000000000000
χ89444-4-4-4-44-2-20000-22-22-22-22-22-2222−2323−2323−2323−2323100001-11-1-11-10000002i3−2i30000002i3−2i300003−33−33−33−33i−3i3i−3i−i3i3−i3i33i−3i3i−3i−i3i3−i3i30000000000000000000000000000000000000000
χ9044-444-4-4-44400004-44-4-44-4-4-44-444-400000000400004-4-44-4-44000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9144-444-4-4-44-200004-4-22-442-4-442-2-2200000000-20000-222-222-200000023−23000000−2323000000000000000023−2323−230000−2323−23230000000000000000000000000000000000000000
χ9244-444-4-4-44-200004-4-22-442-4-442-2-2200000000-20000-222-222-2000000−232300000023−230000000000000000−2323−2323000023−2323−230000000000000000000000000000000000000000
χ9344-444-4-4-4-240000-224-42-2-422-2-444-423−23−232323−23−2323-20000-222-222-20000000000000000000023−2323−23−2323−232300000000000000000000000000000000000000000000000000000000
χ9444-444-4-4-4-240000-224-42-2-422-2-444-4−232323−23−232323−23-20000-222-222-200000000000000000000−2323−232323−2323−2300000000000000000000000000000000000000000000000000000000
χ9544-444-4-4-4-2-20000-22-222-2222-22-2-2223−23−232323−23−2323100001-1-11-1-1100000023−23000000−23230000−33−333−33−3-33-33−33−333-33-33−33−30000000000000000000000000000000000000000
χ9644-444-4-4-4-2-20000-22-222-2222-22-2-2223−23−232323−23−2323100001-1-11-1-11000000−232300000023−230000−33−333−33−33-33-33−33−3-33-33−33−330000000000000000000000000000000000000000
χ9744-444-4-4-4-2-20000-22-222-2222-22-2-22−232323−23−232323−23100001-1-11-1-1100000023−23000000−232300003−33−3−33−333-33-3−33−33-33-333−33−30000000000000000000000000000000000000000
χ9844-444-4-4-4-2-20000-22-222-2222-22-2-22−232323−23−232323−23100001-1-11-1-11000000−232300000023−2300003−33−3−33−33-33-333−33−33-33-3−33−330000000000000000000000000000000000000000
χ9944-4-4-444-4-2-24-44-4-2-2-2-2222-222222-2-2-222-2-22214i−4i4i−4i11-1-11-1-1−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i-2-2221111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i0000000000000000000000000000000000000000
χ10044-4-4-444-4-2-24-44-4-2-2-2-2222-222222-2-2-222-2-2221−4i4i−4i4i11-1-11-1-12i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i-2-2221111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii0000000000000000000000000000000000000000
χ10144-4-4-444-4-2-2-44-44-2-2-2-2222-222222-222-2-222-2-214i−4i−4i4i11-1-11-1-1−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i22-2-2-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii0000000000000000000000000000000000000000
χ10244-4-4-444-4-2-2-44-44-2-2-2-2222-222222-222-2-222-2-21−4i4i4i−4i11-1-11-1-12i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i22-2-2-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i0000000000000000000000000000000000000000
χ1034-444-4-44-4440000-44-444-44-4-44-44-4-40000000040000-444-4-4-44000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1044-444-4-44-44-20000-442-24-4-2-4-442-22200000000-200002-2-2222-200−2i32i3000000−2i32i30000000000000000−2i32i32i3−2i30000−2i32i32i3−2i300000000000000000000000000000000000000000000
χ1054-444-4-44-44-20000-442-24-4-2-4-442-22200000000-200002-2-2222-2002i3−2i30000002i3−2i300000000000000002i3−2i3−2i32i300002i3−2i3−2i32i300000000000000000000000000000000000000000000
χ1064-444-4-44-4-2400002-2-44-22422-2-44-4-423−23−2323−232323−23-200002-2-2222-20000000000000000000023−23−232323−23−232300000000000000000000000000000000000000000000000000000000
χ1074-444-4-44-4-2400002-2-44-22422-2-44-4-4−232323−2323−23−2323-200002-2-2222-200000000000000000000−232323−23−232323−2300000000000000000000000000000000000000000000000000000000
χ1084-444-4-44-4-2-200002-22-2-22-222-22-22223−23−2323−232323−2310000-111-1-1-1100−2i32i3000000−2i32i300000000−333−3−333−3i3−i3−i3i3−3i3i3i−3ii3−i3−i3i3−3i3i3i−3i0000000000000000000000000000000000000000
χ1094-444-4-44-4-2-200002-22-2-22-222-22-22223−23−2323−232323−2310000-111-1-1-11002i3−2i30000002i3−2i300000000−333−3−333−3−i3i3i3−i33i−3i−3i3i−i3i3i3−i33i−3i−3i3i0000000000000000000000000000000000000000
χ1104-444-4-44-4-2-200002-22-2-22-222-22-222−232323−2323−23−232310000-111-1-1-1100−2i32i3000000−2i32i3000000003−3−333−3−33i3−i3−i3i33i−3i−3i3ii3−i3−i3i33i−3i−3i3i0000000000000000000000000000000000000000
χ1114-444-4-44-4-2-200002-22-2-22-222-22-222−232323−2323−23−232310000-111-1-1-11002i3−2i30000002i3−2i3000000003−3−333−3−33−i3i3i3−i3−3i3i3i−3i−i3i3i3−i3−3i3i3i−3i0000000000000000000000000000000000000000
χ1124-44-444-4-44-24-4-44-4-42244-24-4-422-2-244-4-4-4-444-2000022-2-2-2220000000000000000-22-22-2-222-2-22200000000000000000000000000000000000000000000000000000000
χ1134-44-444-4-44-2-444-4-4-42244-24-4-422-2-2-4-44444-4-4-2000022-2-2-22200000000000000002-22-222-2-222-2-200000000000000000000000000000000000000000000000000000000
χ1144-44-444-4-4-2-24-4-442222-2-2-2-22222-2-2-2-22222-2-210000-1-1111-1-123−230023−230023−230023−2300-22-2211-1-111-1-1−3−333−3−333−3−333−3−3330000000000000000000000000000000000000000
χ1154-44-444-4-4-2-24-4-442222-2-2-2-22222-2-2-2-22222-2-210000-1-1111-1-1−232300−232300−232300−232300-22-2211-1-111-1-133−3−333−3−333−3−333−3−30000000000000000000000000000000000000000
χ1164-44-444-4-4-2-2-444-42222-2-2-2-22222-2-222-2-2-2-22210000-1-1111-1-123−2300−23230023−2300−2323002-22-2-1-111-1-111−3−33333−3−3−3−33333−3−30000000000000000000000000000000000000000
χ1174-44-444-4-4-2-2-444-42222-2-2-2-22222-2-222-2-2-2-22210000-1-1111-1-1−23230023−2300−23230023−23002-22-2-1-111-1-11133−3−3−3−33333−3−3−3−3330000000000000000000000000000000000000000
χ1184-4-44-44-444-244-4-4-4-422-4-42444-2-22-24444-4-4-4-4-200002222-2-2-20000000000000000-222-2-2-22222-2-200000000000000000000000000000000000000000000000000000000
χ1194-4-44-44-444-2-4-444-4-422-4-42444-2-22-2-4-4-4-44444-200002222-2-2-200000000000000002-2-2222-2-2-2-22200000000000000000000000000000000000000000000000000000000
χ1204-4-44-44-44-2-244-4-42222222-2-2-2-2-22-2-2-2-2-2222210000-1-1-1-1111−2i32i300−2i32i3002i3−2i3002i3−2i300-222-211-1-1-1-111i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i30000000000000000000000000000000000000000
χ1214-4-44-44-44-2-244-4-42222222-2-2-2-2-22-2-2-2-2-2222210000-1-1-1-11112i3−2i3002i3−2i300−2i32i300−2i32i300-222-211-1-1-1-111−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i30000000000000000000000000000000000000000
χ1224-4-44-44-44-2-2-4-4442222222-2-2-2-2-22-22222-2-2-2-210000-1-1-1-1111−2i32i3002i3−2i3002i3−2i300−2i32i3002-2-22-1-11111-1-1i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000000000000000000000000000000000000000
χ1234-4-44-44-44-2-2-4-4442222222-2-2-2-2-22-22222-2-2-2-210000-1-1-1-11112i3−2i300−2i32i300−2i32i3002i3−2i3002-2-22-1-11111-1-1−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000000000000000000000000000000000000000
χ1244-4-4-44-444440000-44-44-44-4-44-44-44-40000000040000-44-44-44-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1254-4-4-44-4444-20000-442-2-442-44-4-22-2200000000-200002-22-22-220023−23000000−2323000000000000000023−23−23230000−232323−2300000000000000000000000000000000000000000000
χ1264-4-4-44-4444-20000-442-2-442-44-4-22-2200000000-200002-22-22-2200−232300000023−230000000000000000−232323−23000023−23−232300000000000000000000000000000000000000000000
χ1274-4-4-44-444-2400002-2-442-2-42-224-44-423−2323−23−2323−2323-200002-22-22-220000000000000000000023−23−2323−232323−2300000000000000000000000000000000000000000000000000000000
χ1284-4-4-44-444-2400002-2-442-2-42-224-44-4−2323−232323−2323−23-200002-22-22-2200000000000000000000−232323−2323−23−232300000000000000000000000000000000000000000000000000000000
χ1294-4-4-44-444-2-200002-22-22-222-22-22-2223−2323−23−2323−232310000-11-11-11-10023−23000000−232300000000−333−33−3−33−333−33-3-333−3−33-333-30000000000000000000000000000000000000000
χ1304-4-4-44-444-2-200002-22-22-222-22-22-2223−2323−23−2323−232310000-11-11-11-100−232300000023−2300000000−333−33−3−333−3−33-333-3−333−33-3-330000000000000000000000000000000000000000
χ1314-4-4-44-444-2-200002-22-22-222-22-22-22−2323−232323−2323−2310000-11-11-11-10023−23000000−2323000000003−3−33−333−3−333−3-333-33−3−333-3-330000000000000000000000000000000000000000
χ1324-4-4-44-444-2-200002-22-22-222-22-22-22−2323−232323−2323−2310000-11-11-11-100−232300000023−23000000003−3−33−333−33−3−333-3-33−333−3-333-30000000000000000000000000000000000000000

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