Finite Group Databasebeta

← Group #11781968

Character table — Group #11781968

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1111222222222222222244444444444444444444444444444444444444444444444444444444444444424242424242424242424242448484848484872727272
order1222334444666666121212123466688881212121212121212121212121212121212121212121224242424242424242424242424242424242424242424242424242424242424248888242424242424242444121212124488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-111-1-111-1-1
χ61111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11-1-111-1-111
χ71111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-111-1-1-1-111
χ81111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11-1-11111-1-1
χ92222222-2-22222222-2-2-2-22-222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000
χ102222222-2-22222222-2-2-2-22-2222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222222222220000000000000000000000
χ11222222-222-222222222222-22220000-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000002-200
χ12222222-222-222222222222-22220000-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000-2200
χ13222222-2-2-2-2222222-2-2-2-22222200002222-2-2-2-2-2-22222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000002i−2i
χ14222222-2-2-2-2222222-2-2-2-22222200002222-2-2-2-2-2-22222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000−2i2i
χ1522222-12222222-1-1-12222-12-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-10000
χ1622222-12222222-1-1-12222-12-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-211110000
χ1722222-12222222-1-1-12222-12-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-21111111111110000000000002-2-1-1110000
χ1822222-12222222-1-1-12222-12-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111000000000000-2211-1-10000
χ1922222-12-2-22222-1-1-1-2-2-2-2-1-2-1-1-122-2-2-2-211111111111122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111100000000000000−i3i3−i3i30000
χ2022222-12-2-22222-1-1-1-2-2-2-2-1-2-1-1-122-2-2-2-211111111111122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111100000000000000i3−i3i3−i30000
χ2122222-12-2-22222-1-1-1-2-2-2-2-1-2-1-1-1-2-222-2-211111111111122-1-1-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-100000000000000−i3i3i3−i30000
χ2222222-12-2-22222-1-1-1-2-2-2-2-1-2-1-1-1-2-222-2-211111111111122-1-1-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-100000000000000i3−i3−i3i30000
χ232222-122222-1-1-1222-1-1-1-1-12-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000
χ242222-122222-1-1-1222-1-1-1-1-12-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000
χ252222-122222-1-1-1222-1-1-1-1-12-1-1-1-2-2-2-2-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-21111111122-2-2-1-1-1-111110000000000
χ262222-122222-1-1-1222-1-1-1-1-12-1-1-1-2-2-2-2-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111-2-2221111-1-1-1-10000000000
χ272222-122-2-22-1-1-12221111-1-2-1-1-122-2-211-2-2-2-211111111-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111000033−3−333−3−30000000000
χ282222-122-2-22-1-1-12221111-1-2-1-1-122-2-211-2-2-2-211111111-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111110000−3−333−3−3330000000000
χ292222-122-2-22-1-1-12221111-1-2-1-1-1-2-22211-2-2-2-211111111-1-122-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1000033−3−3−3−3330000000000
χ302222-122-2-22-1-1-12221111-1-2-1-1-1-2-22211-2-2-2-211111111-1-122-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-10000−3−33333−3−30000000000
χ3122-2-222200-22-2-22-2-20000202-2-22-200000000000000002-22-222-2-222-2-222-2-22222-2-2-2-200000000000000002−22−22−22−22−22−20000000000
χ3222-2-222200-22-2-22-2-20000202-2-22-200000000000000002-22-222-2-222-2-222-2-22222-2-2-2-20000000000000000−22−22−22−22−22−220000000000
χ3322-2-222200-22-2-22-2-20000202-2-2-2200000000000000002-22-222-2-2-2-222-2-222-2-2-2-2222200000000000000002−2−222−22−2−22−220000000000
χ3422-2-222200-22-2-22-2-20000202-2-2-2200000000000000002-22-222-2-2-2-222-2-222-2-2-2-222220000000000000000−222−2−22−222−22−20000000000
χ3522-2-2-12200-2-1112-2-233−3−3-10-1112-2003−3000033−3−333−3−3-112-2-1-111-1-11122-2-2-1-1-1-1111133−3−300003333−3−3−3−32−22−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000000000
χ3622-2-2-12200-2-1112-2-233−3−3-10-1112-2003−3000033−3−333−3−3-112-2-1-111-1-11122-2-2-1-1-1-1111133−3−300003333−3−3−3−3−22−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000000000
χ3722-2-2-12200-2-1112-2-233−3−3-10-111-22003−3000033−3−333−3−3-112-2-1-11111-1-1-2-2221111-1-1-1-1−3−3330000−3−3−3−333332−2−22ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000000000
χ3822-2-2-12200-2-1112-2-233−3−3-10-111-22003−3000033−3−333−3−3-112-2-1-11111-1-1-2-2221111-1-1-1-1−3−3330000−3−3−3−33333−222−2−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000000000
χ3922-2-2-12200-2-1112-2-2−3−333-10-1112-200−330000−3−333−3−333-112-2-1-111-1-11122-2-2-1-1-1-11111−3−3330000−3−3−3−333332−22−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000000000
χ4022-2-2-12200-2-1112-2-2−3−333-10-1112-200−330000−3−333−3−333-112-2-1-111-1-11122-2-2-1-1-1-11111−3−3330000−3−3−3−33333−22−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000000000
χ4122-2-2-12200-2-1112-2-2−3−333-10-111-2200−330000−3−333−3−333-112-2-1-11111-1-1-2-2221111-1-1-1-133−3−300003333−3−3−3−32−2−22ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000000000
χ4222-2-2-12200-2-1112-2-2−3−333-10-111-2200−330000−3−333−3−333-112-2-1-11111-1-1-2-2221111-1-1-1-133−3−300003333−3−3−3−3−222−2−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000000000
χ4344444-2-444-4444-2-2-24444-2-4-2-2-20000-4-422-2-2-2-2-2-22222-4-4222222000000000000000000000000000000000000000000000000000000
χ4444444-2-4-4-4-4444-2-2-2-4-4-4-4-24-2-2-2000044-2-2222222-2-2-2-2-4-4222222000000000000000000000000000000000000000000000000000000
χ454444-24-444-4-2-2-2444-2-2-2-2-2-4-2-2-2000022-4-444-2-2-2-2222222-4-42222000000000000000000000000000000000000000000000000000000
χ464444-24-4-4-4-4-2-2-24442222-24-2-2-20000-2-244-4-42222-2-2-2-222-4-42222000000000000000000000000000000000000000000000000000000
χ474444-2-24444-2-2-2-2-2-2-2-2-2-2141114444-2-2-2-2-2-211111111-2-2-2-21111-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-2111111110000000000000000000000
χ484444-2-24444-2-2-2-2-2-2-2-2-2-214111-4-4-4-4-2-2-2-2-2-211111111-2-2-2-2111122222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-10000000000000000000000
χ494444-2-24-4-44-2-2-2-2-2-222221-411144-4-4222222-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-2-2-2-2-21111111122222222-1-1-1-1-1-1-1-10000000000000000000000
χ504444-2-24-4-44-2-2-2-2-2-222221-4111-4-444222222-1-1-1-1-1-1-1-1-2-2-2-2111122222222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111110000000000000000000000
χ514444-2-2-444-4-2-2-2-2-2-2-2-2-2-21-411100002222-2-21111-1-1-1-12222-1-1-1-1000000003i3i−3i−3i3i3i−3i−3i000000003i3i−3i−3i3i3i−3i−3i0000000000000000000000
χ524444-2-2-444-4-2-2-2-2-2-2-2-2-2-21-411100002222-2-21111-1-1-1-12222-1-1-1-100000000−3i−3i3i3i−3i−3i3i3i00000000−3i−3i3i3i−3i−3i3i3i0000000000000000000000
χ534444-2-2-4-4-4-4-2-2-2-2-2-22222141110000-2-2-2-222-1-1-1-111112222-1-1-1-1000000003i3i−3i−3i3i3i−3i−3i00000000−3i−3i3i3i−3i−3i3i3i0000000000000000000000
χ544444-2-2-4-4-4-4-2-2-2-2-2-22222141110000-2-2-2-222-1-1-1-111112222-1-1-1-100000000−3i−3i3i3i−3i−3i3i3i000000003i3i−3i−3i3i3i−3i−3i0000000000000000000000
χ5544-4-444-40044-4-44-4-40000404-4-4000000000000000000-44-44-4-444000000000000000000000000000000000000000000000000000000
χ5644-4-44-2400-44-4-4-2220000-20-2224-400000000000000004-4-22-2-22244-4-4-2-222-2-2-2-2222200000000000000000000000000000000000000
χ5744-4-44-2400-44-4-4-2220000-20-222-4400000000000000004-4-22-2-222-4-44422-2-22222-2-2-2-200000000000000000000000000000000000000
χ5844-4-44-2-40044-4-4-2220000-20-222000000000000000000-442-222-2-200000000000000000000−2i3−2i32i32i3−2i3−2i32i32i32i32i3−2i3−2i30000000000000000000000
χ5944-4-44-2-40044-4-4-2220000-20-222000000000000000000-442-222-2-2000000000000000000002i32i3−2i3−2i32i32i3−2i3−2i3−2i3−2i32i32i30000000000000000000000
χ6044-4-4-24-4004-2224-4-42323−23−23-20-2220000−232300002323−23−23−23−2323232-2-4422-2-2000000000000000000000000000000000000000000000000000000
χ6144-4-4-24-4004-2224-4-4−23−232323-20-222000023−230000−23−2323232323−23−232-2-4422-2-2000000000000000000000000000000000000000000000000000000
χ6244-4-4-2-2400-4-222-2222323−23−23101-1-14-40023−230000−3−333−3−333-22-2211-1-1-2-222-2-2221111-1-1-1-12323−23−230000−3−3−3−333330000000000000000000000
χ6344-4-4-2-2400-4-222-2222323−23−23101-1-1-440023−230000−3−333−3−333-22-2211-1-122-2-222-2-2-1-1-1-11111−23−23232300003333−3−3−3−30000000000000000000000
χ6444-4-4-2-2400-4-222-222−23−232323101-1-14-400−2323000033−3−333−3−3-22-2211-1-1-2-222-2-2221111-1-1-1-1−23−23232300003333−3−3−3−30000000000000000000000
χ6544-4-4-2-2400-4-222-222−23−232323101-1-1-4400−2323000033−3−333−3−3-22-2211-1-122-2-222-2-2-1-1-1-111112323−23−230000−3−3−3−333330000000000000000000000
χ6644-4-4-2-2-4004-222-2222323−23−23101-1-10000−23230000−3−33333−3−32-22-2-1-111000000003i3i−3i−3i−3i−3i3i3i0000−2i3−2i32i32i3i3i3−i3−i3−i3−i3i3i30000000000000000000000
χ6744-4-4-2-2-4004-222-2222323−23−23101-1-10000−23230000−3−33333−3−32-22-2-1-11100000000−3i−3i3i3i3i3i−3i−3i00002i32i3−2i3−2i3−i3−i3i3i3i3i3−i3−i30000000000000000000000
χ6844-4-4-2-2-4004-222-222−23−232323101-1-1000023−23000033−3−3−3−3332-22-2-1-111000000003i3i−3i−3i−3i−3i3i3i00002i32i3−2i3−2i3−i3−i3i3i3i3i3−i3−i30000000000000000000000
χ6944-4-4-2-2-4004-222-222−23−232323101-1-1000023−23000033−3−3−3−3332-22-2-1-11100000000−3i−3i3i3i3i3i−3i−3i0000−2i3−2i32i32i3i3i3−i3−i3−i3−i3i3i30000000000000000000000
χ704-44-4440000-44-4-44-4000040-44-40022−220000000000000000000000000000000000000022−2222−2222−2222−2222−2222−2222−2222−220000000000000000000000
χ714-44-4440000-44-4-44-4000040-44-400−222200000000000000000000000000000000000000−2222−2222−2222−2222−2222−2222−2222−22220000000000000000000000
χ724-44-44-20000-44-42-220000-202-220022−2200−2i32i3000000−2i32i3−2i32i3000000000000i6−i6i6−i6i6−i6i6−i6i6−i6i6−i622−2222−22−22−22−22−22−22−220000000000000000000000
χ734-44-44-20000-44-42-220000-202-220022−22002i3−2i30000002i3−2i32i3−2i3000000000000−i6i6−i6i6−i6i6−i6i6−i6i6−i6i622−2222−22−22−22−22−22−22−220000000000000000000000
χ744-44-44-20000-44-42-220000-202-2200−222200−2i32i3000000−2i32i3−2i32i3000000000000−i6i6−i6i6−i6i6−i6i6−i6i6−i6i6−2222−22222−22−22−22−22−22−20000000000000000000000
χ754-44-44-20000-44-42-220000-202-2200−2222002i3−2i30000002i3−2i32i3−2i3000000000000i6−i6i6−i6i6−i6i6−i6i6−i6i6−i6−2222−22222−22−22−22−22−22−20000000000000000000000
χ764-44-4-2400002-22-44-423−2323−23-202-220022−2200000023−2323−230000000000006−66−600006−6−666−6−66−22−2222−2222−22−22−22−22−220000000000000000000000
χ774-44-4-2400002-22-44-423−2323−23-202-2200−222200000023−2323−23000000000000−66−660000−666−6−666−62−22−2−2222−22222−22−22−22−20000000000000000000000
χ784-44-4-2400002-22-44-4−2323−2323-202-220022−22000000−2323−2323000000000000−66−660000−666−6−666−6−22−2222−2222−22−22−22−22−220000000000000000000000
χ794-44-4-2400002-22-44-4−2323−2323-202-2200−2222000000−2323−23230000000000006−66−600006−6−666−6−662−22−2−2222−22222−22−22−22−20000000000000000000000
χ804-44-4-2-200002-222-2223−2323−2310-11-10022−2200−2i32i300−33−33i3−i3i3−i300003i−3i3i−3i6−66−6i6−i6i6−i6−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23−22−22−22−22−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ230000000000000000000000
χ814-44-4-2-200002-222-2223−2323−2310-11-10022−22002i3−2i300−33−33−i3i3−i3i30000−3i3i−3i3i6−66−6−i6i6−i6i6ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−22−22−22−22ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ230000000000000000000000
χ824-44-4-2-200002-222-2223−2323−2310-11-100−222200−2i32i300−33−33i3−i3i3−i300003i−3i3i−3i−66−66−i6i6−i6i6ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ232−22−22−22−22ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ230000000000000000000000
χ834-44-4-2-200002-222-2223−2323−2310-11-100−2222002i3−2i300−33−33−i3i3−i3i30000−3i3i−3i3i−66−66i6−i6i6−i6−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ132−22−22−22−2−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ230000000000000000000000
χ844-44-4-2-200002-222-22−2323−232310-11-10022−2200−2i32i3003−33−3i3−i3i3−i30000−3i3i−3i3i−66−66i6−i6i6−i6−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13−22−22−22−22ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ230000000000000000000000
χ854-44-4-2-200002-222-22−2323−232310-11-10022−22002i3−2i3003−33−3−i3i3−i3i300003i−3i3i−3i−66−66−i6i6−i6i6ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−22−22−22−22−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ230000000000000000000000
χ864-44-4-2-200002-222-22−2323−232310-11-100−222200−2i32i3003−33−3i3−i3i3−i30000−3i3i−3i3i6−66−6−i6i6−i6i6ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ132−22−22−22−2−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ230000000000000000000000
χ874-44-4-2-200002-222-22−2323−232310-11-100−2222002i3−2i3003−33−3−i3i3−i3i300003i−3i3i−3i6−66−6i6−i6i6−i6−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ232−22−22−22−22ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ230000000000000000000000
χ884-4-444404-40-4-44-4-444-4-4440-4-44000000004-44-4-44000000000000000000000000000000000000000000000000000000000000000000
χ894-4-44440-440-4-44-4-44-444-440-4-4400000000-44-444-4000000000000000000000000000000000000000000000000000000000000000000
χ904-4-444-204-40-4-4422-24-4-44-2022-200000000-22-222-20000000000000000i6−i6−i6i6i6−i6i6−i6−i6i6−i6i60000−i6i6i6−i6−i6i6i6−i6i6−i6−i6i60000000000000000000000
χ914-4-444-204-40-4-4422-24-4-44-2022-200000000-22-222-20000000000000000−i6i6i6−i6−i6i6−i6i6i6−i6i6−i60000i6−i6−i6i6i6−i6−i6i6−i6i6i6−i60000000000000000000000
χ924-4-444-20-440-4-4422-2-444-4-2022-2000000002-22-2-220000000000000000i6−i6−i6i6i6−i6i6−i6−i6i6−i6i60000i6−i6−i6i6i6−i6−i6i6−i6i6i6−i60000000000000000000000
χ934-4-444-20-440-4-4422-2-444-4-2022-2000000002-22-2-220000000000000000−i6i6i6−i6−i6i6−i6i6i6−i6i6−i60000−i6i6i6−i6−i6i6i6−i6i6−i6−i6i60000000000000000000000
χ944-4-44-2404-4022-2-4-44-222-2-2022-2000000004-4-222-20000000000006−6−6600006−6−66−666−6−666−60000−66−666−66−60000000000000000000000
χ954-4-44-2404-4022-2-4-44-222-2-2022-2000000004-4-222-2000000000000−666−60000−666−66−6−666−6−6600006−66−6−66−660000000000000000000000
χ964-4-44-240-44022-2-4-442-2-22-2022-200000000-442-2-220000000000006−6−6600006−6−66−666−66−6−6600006−66−6−66−660000000000000000000000
χ974-4-44-240-44022-2-4-442-2-22-2022-200000000-442-2-22000000000000−666−60000−666−66−6−66−666−60000−66−666−66−60000000000000000000000
χ984-4-44-2-204-4022-222-2-222-210-1-1100000000-221-1-113i−3i−3i3i00003i−3i−3i3i6−6−66i6−i6−i6i6−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−666−6−i6i6i6−i6ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000000000000000000000
χ994-4-44-2-204-4022-222-2-222-210-1-1100000000-221-1-113i−3i−3i3i00003i−3i−3i3i−666−6−i6i6i6−i6ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ236−6−66i6−i6−i6i6−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000000000000000000000
χ1004-4-44-2-204-4022-222-2-222-210-1-1100000000-221-1-11−3i3i3i−3i0000−3i3i3i−3i6−6−66−i6i6i6−i6ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13−666−6i6−i6−i6i6−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000000000000000000000
χ1014-4-44-2-204-4022-222-2-222-210-1-1100000000-221-1-11−3i3i3i−3i0000−3i3i3i−3i−666−6i6−i6−i6i6−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ136−6−66−i6i6i6−i6ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000000000000000000000
χ1024-4-44-2-20-44022-222-22-2-2210-1-11000000002-2-111-13i−3i−3i3i0000−3i3i3i−3i6−6−66−i6i6i6−i6ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ136−6−66−i6i6i6−i6ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000000000000000000000
χ1034-4-44-2-20-44022-222-22-2-2210-1-11000000002-2-111-13i−3i−3i3i0000−3i3i3i−3i−666−6i6−i6−i6i6−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−666−6i6−i6−i6i6−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000000000000000000000
χ1044-4-44-2-20-44022-222-22-2-2210-1-11000000002-2-111-1−3i3i3i−3i00003i−3i−3i3i6−6−66i6−i6−i6i6−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ236−6−66i6−i6−i6i6−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000000000000000000000
χ1054-4-44-2-20-44022-222-22-2-2210-1-11000000002-2-111-1−3i3i3i−3i00003i−3i−3i3i−666−6−i6i6i6−i6ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23−666−6−i6i6i6−i6ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000000000000000000000

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