Finite Group Databasebeta

← Group #13161757

Character table — Group #13161757

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11112222222222222244444444444444444444444444444444888888888888888888888888888888888899991818181818181818181818181818363636363636363636363636363636363636363672727272
order12442333466612121212121233333666666668812121212121212121212121212242424246666612121212122424242424242424242424242424242424242424242424242244246688888888121268888881224242424242424242424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111111111111111111-1-11111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1
χ61111111111111111111111111111111-1-11111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111111-1-11111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-111-111111111-1-1-1-1-1-111
χ81111111111111111111111111111111-1-11111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-11111-1-1-1-1111111-1-1
χ911-1-1-11111111-1-1-1-1-1-111111-1-1-111111i−i1-1-1-1-1-1-1-1-1-1-111ii−i−i-1-1-1-1-111111ii−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−i11-1-1-111111-1-111-1-1-1-1-1i−ii−ii−i1ii−i−i11-1-111-1-1i−ii−i
χ1011-1-1-11111111-1-1-1-1-1-111111-1-1-111111i−i1-1-1-1-1-1-1-1-1-1-111ii−i−i-1-1-1-1-111111ii−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−i11-1-1-1111-1-111-1-111-1-1-1i−i−ii−ii1ii−i−i-1-111-1-111−ii−ii
χ1111-1-1-11111111-1-1-1-1-1-111111-1-1-111111i−i1-1-1-1-1-1-1-1-1-1-111ii−i−i-1-1-1-1-111111ii−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−i-1-1111-1-1-111-1-1-1-111111−iii−i−ii-1−i−iii11-1-1-1-111i−i−ii
χ1211-1-1-11111111-1-1-1-1-1-111111-1-1-111111i−i1-1-1-1-1-1-1-1-1-1-111ii−i−i-1-1-1-1-111111ii−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−i-1-1111-1-1-1-1-11111-1-1111−ii−iii−i-1−i−iii-1-11111-1-1−iii−i
χ1311-1-1-11111111-1-1-1-1-1-111111-1-1-111111−ii1-1-1-1-1-1-1-1-1-1-111−i−iii-1-1-1-1-111111−i−iii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii11-1-1-111111-1-111-1-1-1-1-1−ii−ii−ii1−i−iii11-1-111-1-1−ii−ii
χ1411-1-1-11111111-1-1-1-1-1-111111-1-1-111111−ii1-1-1-1-1-1-1-1-1-1-111−i−iii-1-1-1-1-111111−i−iii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii11-1-1-1111-1-111-1-111-1-1-1−iii−ii−i1−i−iii-1-111-1-111i−ii−i
χ1511-1-1-11111111-1-1-1-1-1-111111-1-1-111111−ii1-1-1-1-1-1-1-1-1-1-111−i−iii-1-1-1-1-111111−i−iii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii-1-1111-1-1-111-1-1-1-111111i−i−iii−i-1ii−i−i11-1-1-1-111−iii−i
χ1611-1-1-11111111-1-1-1-1-1-111111-1-1-111111−ii1-1-1-1-1-1-1-1-1-1-111−i−iii-1-1-1-1-111111−i−iii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii-1-1111-1-1-1-1-11111-1-1111i−ii−i−ii-1ii−i−i-1-11111-1-1i−i−ii
χ172222222-1222-12222-1-12-1-1-1-122-12-1-1-1-122-122-1-1-1-1-1-1-1-122-1-1-1-12-1-1-1-12-1-1-1-1222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1222222-1-100000000-1-1-1220000-1-1-1-1-1000000000000
χ182222222-1222-12222-1-12-1-1-1-122-12-1-1-1-122-122-1-1-1-1-1-1-1-122-1-1-1-12-1-1-1-12-1-1-1-1222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-2-2-21100000000111-2-2000011111000000000000
χ192222222-1222-12222-1-12-1-1-1-122-12-1-1-1-1-2-2-122-1-1-1-1-1-1-1-12211112-1-1-1-12-1-1-1-1-2-2-2-2-2-211111111-2-211111111222222-1-100000000-1-1-1-2-20000-11111000000000000
χ202222222-1222-12222-1-12-1-1-1-122-12-1-1-1-1-2-2-122-1-1-1-1-1-1-1-12211112-1-1-1-12-1-1-1-1-2-2-2-2-2-211111111-2-211111111-2-2-2-2-2-211000000001112200001-1-1-1-1000000000000
χ21222222-1222-1222-1-122-12-1-1-12-12-12-1-1-1222-1-122-1-1-1-1-1-12-12222-12-1-1-1-12-1-1-12-12-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-10000000000002222000000022000000000-1-1-1-100-1-1
χ22222222-1222-1222-1-122-12-1-1-12-12-12-1-1-1222-1-122-1-1-1-1-1-12-12222-12-1-1-1-12-1-1-12-12-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1000000000000-2-2-2-20000000-2-200000000011110011
χ23222222-1222-1222-1-122-12-1-1-12-12-12-1-1-1-2-22-1-122-1-1-1-1-1-12-1-2-2-2-2-12-1-1-1-12-1-1-1-21-2111-2-211111111-2-211111100000000000022220000000-2-2000000000-1-1-1-10011
χ24222222-1222-1222-1-122-12-1-1-12-12-12-1-1-1-2-22-1-122-1-1-1-1-1-12-1-2-2-2-2-12-1-1-1-12-1-1-1-21-2111-2-211111111-2-2111111000000000000-2-2-2-2000000022000000000111100-1-1
χ2522222-1222-122-1-12222-1-12-1-1-122-1-12-1-1222-1-1-1-122-1-1-1-1-122222-1-12-1-1-1-12-1-1-12-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1000000002222000000000220000000-1-1-1-10000-1-100
χ2622222-1222-122-1-12222-1-12-1-1-122-1-12-1-1222-1-1-1-122-1-1-1-1-122222-1-12-1-1-1-12-1-1-12-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-100000000-2-2-2-2000000000-2-20000000111100001100
χ2722222-1222-122-1-12222-1-12-1-1-122-1-12-1-1-2-22-1-1-1-122-1-1-1-1-12-2-2-2-2-1-12-1-1-1-12-1-11-21-21111-2-211111111-2-21111000000002222000000000-2-20000000-1-1-1-100001100
χ2822222-1222-122-1-12222-1-12-1-1-122-1-12-1-1-2-22-1-1-1-122-1-1-1-1-12-2-2-2-2-1-12-1-1-1-12-1-11-21-21111-2-211111111-2-2111100000000-2-2-2-200000000022000000011110000-1-100
χ292222-2222-222222222222222-2-2-22222200-22222222222-2-20000-2-2-2-2-2-2-2-2-2-20000000000000000000000002222-2-2220000000022-2000000-20000000000000000
χ302222-2222-222222222222222-2-2-22222200-22222222222-2-20000-2-2-2-2-2-2-2-2-2-2000000000000000000000000-2-2-2-222-2-200000000-2-2200000020000000000000000
χ312222-222-1-222-12222-1-12-1-1-1-1-2-212-1-1-1-100122-1-1-1-1-1-1-1-1-2-2−i3i3−i3i3-21111-21111000000−i3i3−i3i3−i3−i3i3i300−i3i3−i3i3−i3−i3i3i32222-2-2-1-100000000-1-110000001−i3i3−i3i3000000000000
χ322222-222-1-222-12222-1-12-1-1-1-1-2-212-1-1-1-100122-1-1-1-1-1-1-1-1-2-2−i3i3−i3i3-21111-21111000000−i3i3−i3i3−i3−i3i3i300−i3i3−i3i3−i3−i3i3i3-2-2-2-222110000000011-1000000-1i3−i3i3−i3000000000000
χ332222-222-1-222-12222-1-12-1-1-1-1-2-212-1-1-1-100122-1-1-1-1-1-1-1-1-2-2i3−i3i3−i3-21111-21111000000i3−i3i3−i3i3i3−i3−i300i3−i3i3−i3i3i3−i3−i32222-2-2-1-100000000-1-110000001i3−i3i3−i3000000000000
χ342222-222-1-222-12222-1-12-1-1-1-1-2-212-1-1-1-100122-1-1-1-1-1-1-1-1-2-2i3−i3i3−i3-21111-21111000000i3−i3i3−i3i3i3−i3−i300i3−i3i3−i3i3i3−i3−i3-2-2-2-222110000000011-1000000-1−i3i3−i3i3000000000000
χ3522-2-22222-2222-2-2-2-2-2-2222222222222200-2-2-2-2-2-2-2-2-2-2-2-2-2000022222-2-2-2-2-200000000000000000000000022-2-22-22200000000-2-22000000-20000000000000000
χ3622-2-22222-2222-2-2-2-2-2-2222222222222200-2-2-2-2-2-2-2-2-2-2-2-2-2000022222-2-2-2-2-2000000000000000000000000-2-222-22-2-20000000022-200000020000000000000000
χ3722-2-2222-1-222-1-2-2-2-2112-1-1-1-122-12-1-1-1-1001-2-211111111-2-23−3−332-1-1-1-1-211110000003−33−333−3−300−33−33−3−33322-2-22-2-1-10000000011-100000013−3−33000000000000
χ3822-2-2222-1-222-1-2-2-2-2112-1-1-1-122-12-1-1-1-1001-2-211111111-2-23−3−332-1-1-1-1-211110000003−33−333−3−300−33−33−3−333-2-222-221100000000-1-11000000-1−333−3000000000000
χ3922-2-2222-1-222-1-2-2-2-2112-1-1-1-122-12-1-1-1-1001-2-211111111-2-2−333−32-1-1-1-1-21111000000−33−33−3−333003−33−333−3−322-2-22-2-1-10000000011-10000001−333−3000000000000
χ4022-2-2222-1-222-1-2-2-2-2112-1-1-1-122-12-1-1-1-1001-2-211111111-2-2−333−32-1-1-1-1-21111000000−33−33−3−333003−33−333−3−3-2-222-221100000000-1-11000000-13−3−33000000000000
χ4122-2-2-222-1222-1-2-2-2-2112-1-1-1-1-2-212-1-1-1-12i−2i-1-2-21111111122−i−iii-211112-1-1-1-12i2i−2i−2i2i2i−i−i−i−i−i−i−i−i−2i−2iiiiiiiii22-2-2-22-1-1000000001112i−2i0000-1−i−iii000000000000
χ4222-2-2-222-1222-1-2-2-2-2112-1-1-1-1-2-212-1-1-1-12i−2i-1-2-21111111122−i−iii-211112-1-1-1-12i2i−2i−2i2i2i−i−i−i−i−i−i−i−i−2i−2iiiiiiiii-2-2222-21100000000-1-1-1−2i2i00001ii−i−i000000000000
χ4322-2-2-222-1222-1-2-2-2-2112-1-1-1-1-2-212-1-1-1-1−2i2i-1-2-21111111122ii−i−i-211112-1-1-1-1−2i−2i2i2i−2i−2iiiiiiiii2i2i−i−i−i−i−i−i−i−i22-2-2-22-1-100000000111−2i2i0000-1ii−i−i000000000000
χ4422-2-2-222-1222-1-2-2-2-2112-1-1-1-1-2-212-1-1-1-1−2i2i-1-2-21111111122ii−i−i-211112-1-1-1-1−2i−2i2i2i−2i−2iiiiiiiii2i2i−i−i−i−i−i−i−i−i-2-2222-21100000000-1-1-12i−2i00001−i−iii000000000000
χ4522-2-2-22-1222-12-2-211-2-2-12-1-1-1-21-2-12-1-1-12i−2i211-2-21111112-12i2i−2i−2i1-2111-12-1-1-12i−i−2ii−i−i2i2i−i−i−i−i−i−iii−2i−2iiiiiii00000000000022-2-200000002i−2i000000000-1-11100−ii
χ4622-2-2-22-1222-12-2-211-2-2-12-1-1-1-21-2-12-1-1-12i−2i211-2-21111112-12i2i−2i−2i1-2111-12-1-1-12i−i−2ii−i−i2i2i−i−i−i−i−i−iii−2i−2iiiiiii000000000000-2-2220000000−2i2i00000000011-1-100i−i
χ4722-2-2-22-1222-12-2-211-2-2-12-1-1-1-21-2-12-1-1-1−2i2i211-2-21111112-1−2i−2i2i2i1-2111-12-1-1-1−2ii2i−iii−2i−2iiiiiii−i−i2i2i−i−i−i−i−i−i00000000000022-2-20000000−2i2i000000000-1-11100i−i
χ4822-2-2-22-1222-12-2-211-2-2-12-1-1-1-21-2-12-1-1-1−2i2i211-2-21111112-1−2i−2i2i2i1-2111-12-1-1-1−2ii2i−iii−2i−2iiiiiii−i−i2i2i−i−i−i−i−i−i000000000000-2-22200000002i−2i00000000011-1-100−ii
χ4922-2-2-2-1222-12211-2-2-2-2-1-12-1-11-2-2-1-12-1-12i−2i21111-2-21111-122i2i−2i−2i11-211-1-12-1-1−i2ii−2i−i−i−i−i2i2i−i−i−i−iiiii−2i−2iiiii0000000022-2-20000000002i−2i0000000-1-1110000−ii00
χ5022-2-2-2-1222-12211-2-2-2-2-1-12-1-11-2-2-1-12-1-12i−2i21111-2-21111-122i2i−2i−2i11-211-1-12-1-1−i2ii−2i−i−i−i−i2i2i−i−i−i−iiiii−2i−2iiiii00000000-2-222000000000−2i2i000000011-1-10000i−i00
χ5122-2-2-2-1222-12211-2-2-2-2-1-12-1-11-2-2-1-12-1-1−2i2i21111-2-21111-12−2i−2i2i2i11-211-1-12-1-1i−2i−i2iiiii−2i−2iiiii−i−i−i−i2i2i−i−i−i−i0000000022-2-2000000000−2i2i0000000-1-1110000i−i00
χ5222-2-2-2-1222-12211-2-2-2-2-1-12-1-11-2-2-1-12-1-1−2i2i21111-2-21111-12−2i−2i2i2i11-211-1-12-1-1i−2i−i2iiiii−2i−2iiiii−i−i−i−i2i2i−i−i−i−i00000000-2-2220000000002i−2i000000011-1-10000−ii00
χ532-22i−2i02220-2-2-22i−2i2i−2i2i−2i22222000-2-2-2-2-20002i−2i2i−2i2i−2i2i2i−2i−2i00000000000000000000000000000000000000002-22i−2i002-22−2−i2i22−2−i2i22i−2i0000000000002−2−i2i22−2−i2i20000
χ542-22i−2i02220-2-2-22i−2i2i−2i2i−2i22222000-2-2-2-2-20002i−2i2i−2i2i−2i2i2i−2i−2i00000000000000000000000000000000000000002-22i−2i002-2−22i2−i2−22i2−i22i−2i000000000000−22i2−i2−22i2−i20000
χ552-22i−2i02220-2-2-22i−2i2i−2i2i−2i22222000-2-2-2-2-20002i−2i2i−2i2i−2i2i2i−2i−2i0000000000000000000000000000000000000000-22−2i2i00-222−2−i2i2−22i2−i2−2i2i0000000000002−2−i2i2−22i2−i20000
χ562-22i−2i02220-2-2-22i−2i2i−2i2i−2i22222000-2-2-2-2-20002i−2i2i−2i2i−2i2i2i−2i−2i0000000000000000000000000000000000000000-22−2i2i00-22−22i2−i22−2−i2i2−2i2i000000000000−22i2−i22−2−i2i20000
χ572-2−2i2i02220-2-2-2−2i2i−2i2i−2i2i22222000-2-2-2-2-2000−2i2i−2i2i−2i2i−2i−2i2i2i00000000000000000000000000000000000000002-2−2i2i002-22−2i2−i22−2i2−i2−2i2i0000000000002−2i2−i22−2i2−i20000
χ582-2−2i2i02220-2-2-2−2i2i−2i2i−2i2i22222000-2-2-2-2-2000−2i2i−2i2i−2i2i−2i−2i2i2i00000000000000000000000000000000000000002-2−2i2i002-2−22−i2i2−22−i2i2−2i2i000000000000−22−i2i2−22−i2i20000
χ592-2−2i2i02220-2-2-2−2i2i−2i2i−2i2i22222000-2-2-2-2-2000−2i2i−2i2i−2i2i−2i−2i2i2i0000000000000000000000000000000000000000-222i−2i00-222−2i2−i2−22−i2i22i−2i0000000000002−2i2−i2−22−i2i20000
χ602-2−2i2i02220-2-2-2−2i2i−2i2i−2i2i22222000-2-2-2-2-2000−2i2i−2i2i−2i2i−2i−2i2i2i0000000000000000000000000000000000000000-222i−2i00-22−22−i2i22−2i2−i22i−2i000000000000−22−i2i22−2i2−i20000
χ61444444-2-244-2-244-2-2-2-2-2-21114-2-2-2-211144-2-2-2-2-21111114-2-2-2-2-2-2-2111-2-21114-24-2-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000000000000000
χ62444444-2-244-2-244-2-2-2-2-2-21114-2-2-2-2111-4-4-2-2-2-2-21111114-22222-2-2111-2-2111-42-422222-1-1-1-1-1-12222-1-1-1-1-1-1000000000000000000000000000000000000000000
χ6344444-24-24-24-2-2-244-2-2-21-211-24-2-21-21144-2-2-211-2-21111-24-2-2-2-2-21-211-21-211-24-24-2-211-2-21111-2-211-2-21111000000000000000000000000000000000000000000
χ6444444-24-24-24-2-2-244-2-2-21-211-24-2-21-211-4-4-2-2-211-2-21111-242222-21-211-21-2112-42-422-1-122-1-1-1-122-1-122-1-1-1-1000000000000000000000000000000000000000000
χ6544444-2-244-2-24-2-2-2-2441-2-211-2-241-2-21144411-2-2-2-21111-2-244441-2-2111-2-211-2-2-2-211-2-2-2-2111111-2-2-2-21111000000000000000000000000000000000000000000
χ6644444-2-244-2-24-2-2-2-2441-2-211-2-241-2-211-4-4411-2-2-2-21111-2-2-4-4-4-41-2-2111-2-2112222-1-12222-1-1-1-1-1-12222-1-1-1-1000000000000000000000000000000000000000000
χ6744444-2-2-24-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32-2-2-2111−1−3i32−1+3i3244-2111111−1−3i32−1+3i32−1−3i32−1+3i32-2-2-2-2-2-2111−1−3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000000000000000000
χ6844444-2-2-24-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32-2-2-2111−1−3i32−1+3i32-4-4-2111111−1−3i32−1+3i32−1−3i32−1+3i32-2-22222111−1−3i32−1+3i32111−1−3i32−1+3i322222-1-1-1-1-1-11+3i321−3i321+3i321−3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000000000000000000000
χ6944444-2-2-24-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32-2-2-2111−1+3i32−1−3i3244-2111111−1+3i32−1−3i32−1+3i32−1−3i32-2-2-2-2-2-2111−1+3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2111111−1+3i32−1−3i32−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000000000000000000
χ7044444-2-2-24-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32-2-2-2111−1+3i32−1−3i32-4-4-2111111−1+3i32−1−3i32−1+3i32−1−3i32-2-22222111−1+3i32−1−3i32111−1+3i32−1−3i322222-1-1-1-1-1-11−3i321+3i321−3i321+3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32000000000000000000000000000000000000000000
χ714444-44-24-44-2444-2-244-24-2-2-2-42-4-24-2-2-200-4-2-244-2-2-2-2-2-2-4200002-42222-4222000000000000000000000000000000000000000000000000000000000000000000
χ724444-44-2-2-44-2-244-2-2-2-2-2-2111-422-2-2111002-2-2-2-2111111-42−2i32i3−2i32i322-1-1-122-1-1-1000000−2i32i3i3−i3i3i3−i3−i300−2i32i3i3−i3i3i3−i3−i3000000000000000000000000000000000000000000
χ734444-44-2-2-44-2-244-2-2-2-2-2-2111-422-2-2111002-2-2-2-2111111-422i3−2i32i3−2i322-1-1-122-1-1-10000002i3−2i3−i3i3−i3−i3i3i3002i3−2i3−i3i3−i3−i3i3i3000000000000000000000000000000000000000000
χ744444-4-244-4-244-2-24444-2-24-2-22-4-4-2-24-2-200-4-2-2-2-244-2-2-2-22-4000022-42222-422000000000000000000000000000000000000000000000000000000000000000000
χ754444-4-24-2-4-24-2-2-244-2-2-21-2112-42-21-211002-2-211-2-211112-4−2i32i3−2i32i32-12-1-12-12-1-1000000i3−i3−2i32i3i3i3−i3−i300i3−i3−2i32i3i3i3−i3−i3000000000000000000000000000000000000000000
χ764444-4-24-2-4-24-2-2-244-2-2-21-2112-42-21-211002-2-211-2-211112-42i3−2i32i3−2i32-12-1-12-12-1-1000000−i3i32i3−2i3−i3−i3i3i300−i3i32i3−2i3−i3−i3i3i3000000000000000000000000000000000000000000
χ774444-4-2-24-4-2-24-2-2-2-2441-2-21122-41-2-21100-411-2-2-2-21111220000-122-1-1-122-1-100003-300003-3-333-300003-3-33000000000000000000000000000000000000000000
χ784444-4-2-24-4-2-24-2-2-2-2441-2-21122-41-2-21100-411-2-2-2-21111220000-122-1-1-122-1-10000-330000-333-3-330000-333-3000000000000000000000000000000000000000000
χ794444-4-2-2-2-4-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32222111−1−3i32−1+3i32002111111−1−3i32−1+3i32−1−3i32−1+3i3222−2i32i3−2i32i3-1-1-11+3i321−3i32-1-1-11+3i321−3i3200003-3i3−i3i3−i3−3−i323−i323+i32−3+i323-3i3−i3i3−i3−3−i323−i323+i32−3+i32000000000000000000000000000000000000000000
χ804444-4-2-2-2-4-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32222111−1−3i32−1+3i32002111111−1−3i32−1+3i32−1−3i32−1+3i32222i3−2i32i3−2i3-1-1-11+3i321−3i32-1-1-11+3i321−3i320000-33−i3i3−i3i33+i32−3+i32−3−i323−i32-33−i3i3−i3i33+i32−3+i32−3−i323−i32000000000000000000000000000000000000000000
χ814444-4-2-2-2-4-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32222111−1+3i32−1−3i32002111111−1+3i32−1−3i32−1+3i32−1−3i3222−2i32i3−2i32i3-1-1-11−3i321+3i32-1-1-11−3i321+3i320000-33i3−i3i3−i33−i32−3−i32−3+i323+i32-33i3−i3i3−i33−i32−3−i32−3+i323+i32000000000000000000000000000000000000000000
χ824444-4-2-2-2-4-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32222111−1+3i32−1−3i32002111111−1+3i32−1−3i32−1+3i32−1−3i32222i3−2i32i3−2i3-1-1-11−3i321+3i32-1-1-11−3i321+3i3200003-3−i3i3−i3i3−3+i323+i323−i32−3−i323-3−i3i3−i3i3−3+i323+i323−i32−3−i32000000000000000000000000000000000000000000
χ8344-4-444-24-44-24-4-422-4-4-24-2-2-24-24-24-2-2-200-422-4-4222222-420000-24-2-2-22-4222000000000000000000000000000000000000000000000000000000000000000000
χ8444-4-444-2-2-44-2-2-4-42222-2-21114-2-2-2-21110022222-1-1-1-1-1-1-4223−23−2323-2-211122-1-1-100000023−23−33−3−33300−23233−333−3−3000000000000000000000000000000000000000000
χ8544-4-444-2-2-44-2-2-4-42222-2-21114-2-2-2-21110022222-1-1-1-1-1-1-42−232323−23-2-211122-1-1-1000000−23233−333−3−30023−23−33−3−333000000000000000000000000000000000000000000
χ8644-4-44-244-4-24422-4-4-4-4-2-24-2-2-244-2-24-2-200-42222-4-422222-40000-2-24-2-222-422000000000000000000000000000000000000000000000000000000000000000000
χ8744-4-44-24-2-4-24-222-4-422-21-211-24-2-21-21100222-1-122-1-1-1-12-423−23−2323-21-2112-12-1-1000000−3323−23−3−333003−3−232333−3−3000000000000000000000000000000000000000000
χ8844-4-44-24-2-4-24-222-4-422-21-211-24-2-21-21100222-1-122-1-1-1-12-4−232323−23-21-2112-12-1-10000003−3−232333−3−300−3323−23−3−333000000000000000000000000000000000000000000
χ8944-4-44-2-24-4-2-242222-4-41-2-211-2-241-2-21100-4-1-12222-1-1-1-12200001-2-211-122-1-100003i−3i00003i−3i−3i3i−3i3i0000−3i3i3i−3i000000000000000000000000000000000000000000
χ9044-4-44-2-24-4-2-242222-4-41-2-211-2-241-2-21100-4-1-12222-1-1-1-12200001-2-211-122-1-10000−3i3i0000−3i3i3i−3i3i−3i00003i−3i−3i3i000000000000000000000000000000000000000000
χ9144-4-44-2-2-2-4-2-2-2222222111−1−3i32−1+3i32-2-2-2111−1−3i32−1+3i32002-1-1-1-1-1-11+3i321−3i321+3i321−3i322223−23−2323111−1−3i32−1+3i32-1-1-11+3i321−3i3200003i−3i−33−33ζ14+2ζ22−2ζ14−ζ22−ζ14−2ζ222ζ14+ζ22−3i3i3−33−3−ζ14−2ζ222ζ14+ζ22ζ14+2ζ22−2ζ14−ζ22000000000000000000000000000000000000000000
χ9244-4-44-2-2-2-4-2-2-2222222111−1−3i32−1+3i32-2-2-2111−1−3i32−1+3i32002-1-1-1-1-1-11+3i321−3i321+3i321−3i3222−232323−23111−1−3i32−1+3i32-1-1-11+3i321−3i320000−3i3i3−33−3−ζ14−2ζ222ζ14+ζ22ζ14+2ζ22−2ζ14−ζ223i−3i−33−33ζ14+2ζ22−2ζ14−ζ22−ζ14−2ζ222ζ14+ζ22000000000000000000000000000000000000000000
χ9344-4-44-2-2-2-4-2-2-2222222111−1+3i32−1−3i32-2-2-2111−1+3i32−1−3i32002-1-1-1-1-1-11−3i321+3i321−3i321+3i322223−23−2323111−1+3i32−1−3i32-1-1-11−3i321+3i320000−3i3i−33−33−2ζ14−ζ22ζ14+2ζ222ζ14+ζ22−ζ14−2ζ223i−3i3−33−32ζ14+ζ22−ζ14−2ζ22−2ζ14−ζ22ζ14+2ζ22000000000000000000000000000000000000000000
χ9444-4-44-2-2-2-4-2-2-2222222111−1+3i32−1−3i32-2-2-2111−1+3i32−1−3i32002-1-1-1-1-1-11−3i321+3i321−3i321+3i3222−232323−23111−1+3i32−1−3i32-1-1-11−3i321+3i3200003i−3i3−33−32ζ14+ζ22−ζ14−2ζ22−2ζ14−ζ22ζ14+2ζ22−3i3i−33−33−2ζ14−ζ22ζ14+2ζ222ζ14+ζ22−ζ14−2ζ22000000000000000000000000000000000000000000
χ9544-4-4-44-2-244-2-2-4-42222-2-2111-422-2-21114i−4i-22222-1-1-1-1-1-14-2−2i−2i2i2i22-1-1-1-2-21114i−2i−4i2i−2i−2i−2i−2iiiiiii2i2i2i2i−i−i−i−i−i−i000000000000000000000000000000000000000000
χ9644-4-4-44-2-244-2-2-4-42222-2-2111-422-2-2111−4i4i-22222-1-1-1-1-1-14-22i2i−2i−2i22-1-1-1-2-2111−4i2i4i−2i2i2i2i2i−i−i−i−i−i−i−2i−2i−2i−2iiiiiii000000000000000000000000000000000000000000
χ9744-4-4-4-24-24-24-222-4-422-21-2112-42-21-2114i−4i-222-1-122-1-1-1-1-24−2i−2i2i2i2-12-1-1-21-211−2i4i2i−4i−2i−2iii−2i−2iiiii2i2i−i−i2i2i−i−i−i−i000000000000000000000000000000000000000000
χ9844-4-4-4-24-24-24-222-4-422-21-2112-42-21-211−4i4i-222-1-122-1-1-1-1-242i2i−2i−2i2-12-1-1-21-2112i−4i−2i4i2i2i−i−i2i2i−i−i−i−i−2i−2iii−2i−2iiiii000000000000000000000000000000000000000000
χ9944-4-4-4-2-244-2-242222-4-41-2-21122-41-2-2114i−4i4-1-12222-1-1-1-1-2-24i4i−4i−4i-122-1-11-2-211−2i−2i2i2iii−2i−2i−2i−2iiiii−i−i2i2i2i2i−i−i−i−i000000000000000000000000000000000000000000
χ10044-4-4-4-2-244-2-242222-4-41-2-21122-41-2-211−4i4i4-1-12222-1-1-1-1-2-2−4i−4i4i4i-122-1-11-2-2112i2i−2i−2i−i−i2i2i2i2i−i−i−i−iii−2i−2i−2i−2iiiii000000000000000000000000000000000000000000
χ10144-4-4-4-2-2-24-2-2-2222222111−1−3i32−1+3i32222111−1−3i32−1+3i324i−4i-2-1-1-1-1-1-11+3i321−3i321+3i321−3i32-2-2−2i−2i2i2i-1-1-11+3i321−3i32111−1−3i32−1+3i32−2i−2i2i2iiiiiii−ζ14+2ζ222ζ14−ζ22−ζ14+2ζ222ζ14−ζ22−i−i−i−i−i−iζ14−2ζ22−2ζ14+ζ22ζ14−2ζ22−2ζ14+ζ22000000000000000000000000000000000000000000
χ10244-4-4-4-2-2-24-2-2-2222222111−1−3i32−1+3i32222111−1−3i32−1+3i32−4i4i-2-1-1-1-1-1-11+3i321−3i321+3i321−3i32-2-22i2i−2i−2i-1-1-11+3i321−3i32111−1−3i32−1+3i322i2i−2i−2i−i−i−i−i−i−iζ14−2ζ22−2ζ14+ζ22ζ14−2ζ22−2ζ14+ζ22iiiiii−ζ14+2ζ222ζ14−ζ22−ζ14+2ζ222ζ14−ζ22000000000000000000000000000000000000000000
χ10344-4-4-4-2-2-24-2-2-2222222111−1+3i32−1−3i32222111−1+3i32−1−3i324i−4i-2-1-1-1-1-1-11−3i321+3i321−3i321+3i32-2-2−2i−2i2i2i-1-1-11−3i321+3i32111−1+3i32−1−3i32−2i−2i2i2iiiiiii2ζ14−ζ22−ζ14+2ζ222ζ14−ζ22−ζ14+2ζ22−i−i−i−i−i−i−2ζ14+ζ22ζ14−2ζ22−2ζ14+ζ22ζ14−2ζ22000000000000000000000000000000000000000000
χ10444-4-4-4-2-2-24-2-2-2222222111−1+3i32−1−3i32222111−1+3i32−1−3i32−4i4i-2-1-1-1-1-1-11−3i321+3i321−3i321+3i32-2-22i2i−2i−2i-1-1-11−3i321+3i32111−1+3i32−1−3i322i2i−2i−2i−i−i−i−i−i−i−2ζ14+ζ22ζ14−2ζ22−2ζ14+ζ22ζ14−2ζ22iiiiii2ζ14−ζ22−ζ14+2ζ222ζ14−ζ22−ζ14+2ζ22000000000000000000000000000000000000000000
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χ1064-44i−4i044-20-4-424i−4i4i−4i−2i2i4-2-2-2-2000-422220004i−4i−2i2i−2i2i−2i−2i2i2i0000000000000000000000000000000000000000-44−4i4i002-2000000002i−2i000000000000000000000000
χ1074-44i−4i04-240-42-44i−4i−2i2i4i−4i-24-2-2-20002-4222000−2i2i4i−4i−2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000000022−22−2i22i2000000000000000000−22i2−i20000
χ1084-44i−4i04-240-42-44i−4i−2i2i4i−4i-24-2-2-20002-4222000−2i2i4i−4i−2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000000000−22222i2−2i20000000000000000002−2−i2i20000
χ1094-44i−4i0-24402-4-4−2i2i4i−4i4i−4i-2-24-2-200022-422000−2i2i−2i2i4i−4i−2i−2i2i2i00000000000000000000000000000000000000000000000022−22−2i22i2000000000000000000−22i2−i200000000
χ1104-44i−4i0-24402-4-4−2i2i4i−4i4i−4i-2-24-2-200022-422000−2i2i−2i2i4i−4i−2i−2i2i2i000000000000000000000000000000000000000000000000−22222i2−2i20000000000000000002−2−i2i200000000
χ1114-4−4i4i044-20-4-42−4i4i−4i4i2i−2i4-2-2-2-2000-42222000−4i4i2i−2i2i−2i2i2i−2i−2i00000000000000000000000000000000000000004-4−4i4i00-22000000002i−2i000000000000000000000000
χ1124-4−4i4i044-20-4-42−4i4i−4i4i2i−2i4-2-2-2-2000-42222000−4i4i2i−2i2i−2i2i2i−2i−2i0000000000000000000000000000000000000000-444i−4i002-200000000−2i2i000000000000000000000000
χ1134-4−4i4i04-240-42-4−4i4i2i−2i−4i4i-24-2-2-20002-42220002i−2i−4i4i2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000000022−222i2−2i2000000000000000000−22−i2i20000
χ1144-4−4i4i04-240-42-4−4i4i2i−2i−4i4i-24-2-2-20002-42220002i−2i−4i4i2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000000000−2222−2i22i20000000000000000002−2i2−i20000
χ1154-4−4i4i0-24402-4-42i−2i−4i4i−4i4i-2-24-2-200022-4220002i−2i2i−2i−4i4i2i2i−2i−2i00000000000000000000000000000000000000000000000022−222i2−2i2000000000000000000−22−i2i200000000
χ1164-4−4i4i0-24402-4-42i−2i−4i4i−4i4i-2-24-2-200022-4220002i−2i2i−2i−4i4i2i2i−2i−2i000000000000000000000000000000000000000000000000−2222−2i22i20000000000000000002−2i2−i200000000
χ1178-88i−8i08-4-40-8448i−8i−4i4i−4i4i-4-422200044-2-2-2000−4i4i−4i4i2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1188-88i−8i0-48-404-84−4i4i8i−8i−4i4i-42-4220004-24-2-2000−4i4i2i−2i−4i4i2i2i−2i−2i0000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-88i−8i0-4-48044-8−4i4i−4i4i8i−8i2-4-422000-244-2-20002i−2i−4i4i−4i4i2i2i−2i−2i0000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-88i−8i0-4-4-40444−4i4i−4i4i−4i4i222−1−3i3−1+3i3000-2-2-21+3i31−3i30002i−2i2i−2i2i−2i−2ζ14+4ζ224ζ14−2ζ222ζ14−4ζ22−4ζ14+2ζ220000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1218-88i−8i0-4-4-40444−4i4i−4i4i−4i4i222−1+3i3−1−3i3000-2-2-21−3i31+3i30002i−2i2i−2i2i−2i4ζ14−2ζ22−2ζ14+4ζ22−4ζ14+2ζ222ζ14−4ζ220000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1228-8−8i8i08-4-40-844−8i8i4i−4i4i−4i-4-422200044-2-2-20004i−4i4i−4i−2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1238-8−8i8i0-48-404-844i−4i−8i8i4i−4i-42-4220004-24-2-20004i−4i−2i2i4i−4i−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1248-8−8i8i0-4-48044-84i−4i4i−4i−8i8i2-4-422000-244-2-2000−2i2i4i−4i4i−4i−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1258-8−8i8i0-4-4-404444i−4i4i−4i4i−4i222−1−3i3−1+3i3000-2-2-21+3i31−3i3000−2i2i−2i2i−2i2i2ζ14−4ζ22−4ζ14+2ζ22−2ζ14+4ζ224ζ14−2ζ220000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-8−8i8i0-4-4-404444i−4i4i−4i4i−4i222−1+3i3−1−3i3000-2-2-21−3i31+3i3000−2i2i−2i2i−2i2i−4ζ14+2ζ222ζ14−4ζ224ζ14−2ζ22−2ζ14+4ζ220000000000000000000000000000000000000000000000000000000000000000000000000000000000

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