Finite Group Databasebeta

← Group #13156375

Character table — Group #13156375

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1111222222222222224444444444444444444444888888888888121212121212121212121212121212121212181824242424242424242424242424242424242436363636363636363672727272108108
order1222333446666666663336666666661212121212121212121236661212121212121212882424242424242424242424242424242444441212121212121212121212121212121244444121212121212121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-111
χ31111111111111111111111111111111111111111111111111111111111111111111111-1-11-111-1-111-1-11111-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111-1-1-11-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1
χ51111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-11-1-11111-1-1-1-1-1-1
χ61111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1
χ71111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-11111-1-1-111-1-1-1-111-1-111
χ92222222-2-2222222222222222222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-20000000000000000002200000000000000000000-20022-2-2000000
χ102222222-2-2222222222222222222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2000000000000000000-2-200000000000000000000200-2-222000000
χ11222222-12222-122-1-1222-1-122-1-12-1-1-1-12-1-12222222-1-1-1-1-1-1-1-1-1-1-1-100000000000000000022222222-1-1-1-1-1-1-1-1-1-1-1-100200-1-1-1-1000000
χ12222222-12222-122-1-1222-1-122-1-12-1-1-1-12-1-12222222-1-1-1-1-1-1-1-1-1-1-1-100000000000000000022-2-2-2-2-2-211111111111100200-1-1-1-1000000
χ13222222-12222-122-1-1222-1-122-1-12-1-1-1-12-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-22-222-2-2-1-111-1-1-1-1111100-2001111000000
χ14222222-12222-122-1-1222-1-122-1-12-1-1-1-12-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-2-22-2-22211-1-11111-1-1-1-100-2001111000000
χ15222222-1-2-222-122-1-1222-1-122-1-12-1-1-1-1-211-2-2-2-2-2-2-2-1-1-1-11111111100000000000000000022000000−i3i3−i3i3−i3−i3i3i3−i3−i3i3i300-200-1-111000000
χ16222222-1-2-222-122-1-1222-1-122-1-12-1-1-1-1-211-2-2-2-2-2-2-2-1-1-1-11111111100000000000000000022000000i3−i3i3−i3i3i3−i3−i3i3i3−i3−i300-200-1-111000000
χ17222222-1-2-222-122-1-1222-1-122-1-12-1-1-1-1-211-2-2-2-2-2-2-2-1-1-1-111111111000000000000000000-2-2000000−i3i3i3−i3−i3−i3i3i3i3i3−i3−i30020011-1-1000000
χ18222222-1-2-222-122-1-1222-1-122-1-12-1-1-1-1-211-2-2-2-2-2-2-2-1-1-1-111111111000000000000000000-2-2000000i3−i3−i3i3i3i3−i3−i3−i3−i3i3i30020011-1-1000000
χ1922222-12222-122-122-12-12-1-1-12-1-12-12-1-1222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10020-1-1002200-1-1-1-10000000220000-1-10000
χ2022222-12222-122-122-12-12-1-1-12-1-12-12-1-1222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100-201100-2-20011110000000-2-20000110000
χ2122222-12222-122-122-12-12-1-1-12-1-12-12-1-1222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-21111111111110020-1-1002200-1-1-1-10000000-2-20000110000
χ2222222-12222-122-122-12-12-1-1-12-1-12-12-1-1222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-211111111111100-201100-2-20011110000000220000-1-10000
χ232222-12222-122-12222-1-1-12-1-1-12-1-12-12222-1-1-12-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1000200-1-100220000-1-1-1-122000000000-1-100
χ242222-12222-122-12222-1-1-12-1-1-12-1-12-12222-1-1-12-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1000-2001100-2-200001111-2-20000000001100
χ252222-12222-122-12222-1-1-12-1-1-12-1-12-12222-1-1-12-1-1-1-1-1-1-1-1-122-1-1-1-1-2-21111-2-2-2-211111111000200-1-100220000-1-1-1-1-2-20000000001100
χ262222-12222-122-12222-1-1-12-1-1-12-1-12-12222-1-1-12-1-1-1-1-1-1-1-1-122-1-1-1-1-2-21111-2-2-2-211111111000-2001100-2-20000111122000000000-1-100
χ272-22-22222-2-222-2-2-2-2-22222-2-2-2-2222-2-222-2222-2-2-2-22-2-222-22-222-2-2000000000000000000000000000000000000002-20000000002-200
χ282-22-22222-2-222-2-2-2-2-22222-2-2-2-2222-2-222-2222-2-2-2-22-2-222-22-222-2-200000000000000000000000000000000000000-22000000000-2200
χ292-22-2222-22-222-2-2-2-2-22222-2-2-2-2222-2-2-2-22-2-2-222222-2-22-22-22-2-222000000000000000000000000000000000000000002i−2i00002i−2i0000
χ302-22-2222-22-222-2-2-2-2-22222-2-2-2-2222-2-2-2-22-2-2-222222-2-22-22-22-2-22200000000000000000000000000000000000000000−2i2i0000−2i2i0000
χ312-22-22-12-22-2-12-21-2-212-12-111-21-12-1-211-22-211-12-1-1-111-1-221-111-1-1000000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i300003−30000003−33−300000002i−2i0000−ii0000
χ322-22-22-12-22-2-12-21-2-212-12-111-21-12-1-211-22-211-12-1-1-111-1-221-111-1-1000000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i30000−33000000−33−330000000−2i2i0000i−i0000
χ332-22-22-12-22-2-12-21-2-212-12-111-21-12-1-211-22-211-12-1-1-111-1-221-111-1-1000000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i300003−30000003−33−30000000−2i2i0000i−i0000
χ342-22-22-12-22-2-12-21-2-212-12-111-21-12-1-211-22-211-12-1-1-111-1-221-111-1-1000000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i30000−33000000−33−3300000002i−2i0000−ii0000
χ352-22-2-1222-21221-2-2-2-2-1-1-12111-2-1-121-222-2-1-1-1-2111-111-1-112-2-1-1110033−3−3000033−3−333−3−30000003−3000000003−33−32-2000000000-1100
χ362-22-2-1222-21221-2-2-2-2-1-1-12111-2-1-121-222-2-1-1-1-2111-111-1-112-2-1-1110033−3−3000033−3−333−3−3000000−3300000000−33−33-220000000001-100
χ372-22-2-1222-21221-2-2-2-2-1-1-12111-2-1-121-222-2-1-1-1-2111-111-1-112-2-1-11100−3−3330000−3−333−3−3330000003−3000000003−33−3-220000000001-100
χ382-22-2-1222-21221-2-2-2-2-1-1-12111-2-1-121-222-2-1-1-1-2111-111-1-112-2-1-11100−3−3330000−3−333−3−333000000−3300000000−33−332-2000000000-1100
χ392-2-2222200-2-2-22-22-22-22222-2-22-2-2-22-2000000000022-2-200000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22i−2i000000000000000000000002i−2i0000002−2
χ402-2-2222200-2-2-22-22-22-22222-2-22-2-2-22-2000000000022-2-200000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−2i2i00000000000000000000000−2i2i000000−22
χ412-2-2222200-2-2-22-22-22-22222-2-22-2-2-22-2000000000022-2-200000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i22i−2i000000000000000000000002i−2i000000−22
χ422-2-2222200-2-2-22-22-22-22222-2-22-2-2-22-2000000000022-2-200000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2−2i2i00000000000000000000000−2i2i0000002−2
χ4344444-24-4-44-244-244-24-24-2-2-24-2-24-24-22-4-4-4222-422-2-2-2-2-4-422222200000000000000000000000000000000000000000000000000000
χ4444444-2-2444-2-24-2-2-2-24-2-21-2-2-21-2-21-21-2-2-24-2-2-24-2-21111-2-21111110000000000000000000040-2-200-2-20011110000000000000000000
χ4544444-2-2444-2-24-2-2-2-24-2-21-2-2-21-2-21-21-2-2-24-2-2-24-2-21111-2-211111100000000000000000000-4022002200-1-1-1-10000000000000000000
χ4644444-2-2-4-44-2-24-2-2-2-24-2-21-2-2-21-2-21-21222-4222-422111122-1-1-1-1-1-100000000000000000000000000−2i32i300i3i3−i3−i30000000000000000000
χ4744444-2-2-4-44-2-24-2-2-2-24-2-21-2-2-21-2-21-21222-4222-422111122-1-1-1-1-1-1000000000000000000000000002i3−2i300−i3−i3i3i30000000000000000000
χ484444-244-4-4-244-24444-2-2-24-2-2-24-2-24-24-4-4-4222-4222-2-2-2-222-4-4222200000000000000000000000000000000000000000000000000000
χ494444-24-244-24-2-24-2-24-2-21-2-2-21-2-21-21-24-2-2-2-2-24-2-2-2111111-2-21111000000000000000000000400-2-200-2-200001111000000000000000
χ504444-24-244-24-2-24-2-24-2-21-2-2-21-2-21-21-24-2-2-2-2-24-2-2-2111111-2-21111000000000000000000000-4002200220000-1-1-1-1000000000000000
χ514444-24-2-4-4-24-2-24-2-24-2-21-2-2-21-2-21-21-2-422222-42221111-1-122-1-1-1-10000000000000000000000000000−2i32i30000i3i3−i3−i3000000000000000
χ524444-24-2-4-4-24-2-24-2-24-2-21-2-2-21-2-21-21-2-422222-42221111-1-122-1-1-1-100000000000000000000000000002i3−2i30000−i3−i3i3i3000000000000000
χ534444-2-2444-2-24-2-244-2-21-2-211-2-21-2-2-2-2-244-211-2-2111111-2-2-2-2111144-2-2-2-2-2-2-2-21111111100000000000000000000000000000000000
χ544444-2-2444-2-24-2-244-2-21-2-211-2-21-2-2-2-2-244-211-2-2111111-2-2-2-21111-4-422222222-1-1-1-1-1-1-1-100000000000000000000000000000000000
χ554444-2-24-4-4-2-24-2-244-2-21-2-211-2-21-2-2-2-22-4-42-1-122-1-111112222-1-1-1-100000000003i3i−3i−3i−3i−3i3i3i00000000000000000000000000000000000
χ564444-2-24-4-4-2-24-2-244-2-21-2-211-2-21-2-2-2-22-4-42-1-122-1-111112222-1-1-1-10000000000−3i−3i3i3i3i3i−3i−3i00000000000000000000000000000000000
χ5744-4-4444004-4-4-44-44-4-4444-444-4-4-4-4-4400000000004-44-40000000000000000000000000000000000000000000000000000000000000
χ5844-4-444-2004-42-442-2-4-44-2-2-44-22-4222-20000000000-22-220000000000000000000000000000000000000000000000000000023−23000000
χ5944-4-444-2004-42-442-2-4-44-2-2-44-22-4222-20000000000-22-2200000000000000000000000000000000000000000000000000000−2323000000
χ6044-4-44-240042-4-4-2-442-4-24-22-2422-42-4-20000000000-22-22000000000000006−6−666−66−6−66−6600000000000000000000000000000000000
χ6144-4-44-240042-4-4-2-442-4-24-22-2422-42-4-20000000000-22-2200000000000000−666−6−66−666−66−600000000000000000000000000000000000
χ6244-4-4-24400-2-4-424-44-42-2-242-2-2-422-4240000000000-22-220000000000i6−i6−i6i60000i6−i6−i6i6i6−i6−i6i600000000000000000000000000000000000
χ6344-4-4-24400-2-4-424-44-42-2-242-2-2-422-4240000000000-22-220000000000−i6i6i6−i60000−i6i6i6−i6−i6i6i6−i600000000000000000000000000000000000
χ6444-4-4-2-2400-22-42-2-44221-2-2-11-22-1222-200003i−3i003i−3i1-11-100003i−3i3i−3i00i6−i6−i6i66−6−66−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300000000000000000000000000000000000
χ6544-4-4-2-2400-22-42-2-44221-2-2-11-22-1222-200003i−3i003i−3i1-11-100003i−3i3i−3i00−i6i6i6−i6−666−6ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300000000000000000000000000000000000
χ6644-4-4-2-2400-22-42-2-44221-2-2-11-22-1222-20000−3i3i00−3i3i1-11-10000−3i3i−3i3i00i6−i6−i6i6−666−6−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300000000000000000000000000000000000
χ6744-4-4-2-2400-22-42-2-44221-2-2-11-22-1222-20000−3i3i00−3i3i1-11-10000−3i3i−3i3i00−i6i6i6−i66−6−66ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300000000000000000000000000000000000
χ684-44-444-24-4-44-2-4-422-444-2-2-4-4224-2-2224-22444-4-4-4-4-222-2-22-22-2-22200000000000000000000000000000000000000000000000000000
χ694-44-444-2-44-44-2-4-422-444-2-2-4-4224-2-222-42-2-4-4-44444-222-22-22-222-2-200000000000000000000000000000000000000000000000000000
χ704-44-44-244-4-4-24-42-4-424-24-222-42-24-2-42-24-44-2-22-422-222-24-4-22-2-22200000000000000000000000000000000000000000000000000000
χ714-44-44-2-24-4-4-2-2-422224-2-21222-1-2-212-1-2-224-2-22-4221-1-11-221-111-1-10000000000000000000000000000003i−3i−3i3i0000000000000000000
χ724-44-44-2-24-4-4-2-2-422224-2-21222-1-2-212-1-2-224-2-22-4221-1-11-221-111-1-1000000000000000000000000000000−3i3i3i−3i0000000000000000000
χ734-44-44-2-2-44-4-2-2-422224-2-21222-1-2-212-122-2-422-24-2-21-1-112-2-11-1-111000000000000000000000023−23000000−33−330000000000000000000
χ744-44-44-2-2-44-4-2-2-422224-2-21222-1-2-212-122-2-422-24-2-21-1-112-2-11-1-1110000000000000000000000−23230000003−33−30000000000000000000
χ754-44-4-244-442442-4-4-4-4-2-2-24222-4-2-242-4-4-442224-2-2-2-222-22-2-4422-2-200000000000000000000000000000000000000000000000000000
χ764-44-4-24-24-424-22-422-4-2-21-222-12-21-2-124-22-2-2-2-42221-1-111-1-2211-1-100000000000000000000000023−2300000000−33−33000000000000000
χ774-44-4-24-24-424-22-422-4-2-21-222-12-21-2-124-22-2-2-2-42221-1-111-1-2211-1-1000000000000000000000000−2323000000003−33−3000000000000000
χ784-44-4-24-2-4424-22-422-4-2-21-222-12-21-2-12-42-22224-2-2-21-1-11-112-2-1-11100000000000000000000000000000000003i−3i−3i3i000000000000000
χ794-44-4-24-2-4424-22-422-4-2-21-222-12-21-2-12-42-22224-2-2-21-1-11-112-2-1-1110000000000000000000000000000000000−3i3i3i−3i000000000000000
χ804-44-4-2-244-42-2422-4-42-21-2-2-1-1221-2-222-24-4-21122-1-11-1-11-22-2211-1-1002323−23−230000−3−333−3−33300000000000000000000000000000000000
χ814-44-4-2-244-42-2422-4-42-21-2-2-1-1221-2-222-24-4-21122-1-11-1-11-22-2211-1-100−23−232323000033−3−333−3−300000000000000000000000000000000000
χ824-44-4-2-24-442-2422-4-42-21-2-2-1-1221-2-2222-442-1-1-2-2111-1-112-22-2-1-111000000−2i3−2i32i32i3i3i3i3i3−i3−i3−i3−i300000000000000000000000000000000000
χ834-44-4-2-24-442-2422-4-42-21-2-2-1-1221-2-2222-442-1-1-2-2111-1-112-22-2-1-1110000002i32i3−2i3−2i3−i3−i3−i3−i3i3i3i3i300000000000000000000000000000000000
χ844-4-4444-200-4-424-4-224-44-2-24-42-2-422-220000000000-2-222000000000000000000000000004i−4i00000000000000000000000−2i2i00000000
χ854-4-4444-200-4-424-4-224-44-2-24-42-2-422-220000000000-2-22200000000000000000000000000−4i4i000000000000000000000002i−2i00000000
χ864-4-444-2400-42-4424-4-2-4-24-2-22-4-22-42420000000000-2-22200000000−2i22i2−2i22i2−2i22i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000000000000000000000000000000
χ874-4-444-2400-42-4424-4-2-4-24-2-22-4-22-42420000000000-2-222000000002i2−2i22i2−2i22i2−2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000000000000000000000000000000
χ884-4-44-244002-4-4-2-44-442-2-24-222422-4-2-40000000000-2-22200000000−2i22i2i2−i2i2−i2−2i22i2−2i22i2i2−i2i2−i2i2−i2i2−i200000000000000000000000000000000000
χ894-4-44-244002-4-4-2-44-442-2-24-222422-4-2-40000000000-2-222000000002i2−2i2−i2i2−i2i22i2−2i22i2−2i2−i2i2−i2i2−i2i2−i2i200000000000000000000000000000000000
χ904-4-44-2-240022-4-224-4-221-2-21-12-2-122-2200003i−3i00−3i3i11-1-100003i−3i−3i3i−2i22i2i2−i2i2−i2i2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ2300000000000000000000000000000000000
χ914-4-44-2-240022-4-224-4-221-2-21-12-2-122-2200003i−3i00−3i3i11-1-100003i−3i−3i3i2i2−2i2−i2i2−i2i2−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ2300000000000000000000000000000000000
χ924-4-44-2-240022-4-224-4-221-2-21-12-2-122-220000−3i3i003i−3i11-1-10000−3i3i3i−3i−2i22i2i2−i2i2−i2i2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ2300000000000000000000000000000000000
χ934-4-44-2-240022-4-224-4-221-2-21-12-2-122-220000−3i3i003i−3i11-1-10000−3i3i3i−3i2i2−2i2−i2i2−i2i2−i2i2−i2i2−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ2300000000000000000000000000000000000
χ948888-4-4-488-4-4-4-4-4-4-4-4-4222222222222-4-4-4-422-4-422-1-1-1-12222-1-1-1-100000000000000000000000000000000000000000000000000000
χ958888-4-4-4-8-8-4-4-4-4-4-4-4-4-42222222222224444-2-244-2-2-1-1-1-1-2-2-2-2111100000000000000000000000000000000000000000000000000000
χ9688-8-88-4-400844-8-44-44-8-4-424-4-4-244-24200000000002-22-20000000000000000000000000000000000000000000000000000000000000
χ9788-8-8-48-400-4-84484-4-84-42-44-4244-24-2-400000000002-22-20000000000000000000000000000000000000000000000000000000000000
χ9888-8-8-4-4-400-4444-44-444222-222-2-2-2-2-2200006i−6i006i−6i-11-110000−3i3i−3i3i00000000000000000000000000000000000000000000000000000
χ9988-8-8-4-4-400-4444-44-444222-222-2-2-2-2-220000−6i6i00−6i6i-11-1100003i−3i3i−3i00000000000000000000000000000000000000000000000000000
χ1008-88-8-4-4-48-84-4-444444-4222-2-2-2-2222-2-2-4-44-42244-2-2-111-12-22-2-1-11100000000000000000000000000000000000000000000000000000
χ1018-88-8-4-4-4-884-4-444444-4222-2-2-2-2222-2-244-44-2-2-4-422-111-1-22-2211-1-100000000000000000000000000000000000000000000000000000
χ1028-8-888-4-400-84484-44-4-8-4-42-444244-2-4-2000000000022-2-20000000000000000000000000000000000000000000000000000000000000
χ1038-8-88-48-4004-84-4-8-4484-42-4-44-2-44-2424000000000022-2-20000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-400444-44-44-442222-2-22-2-2-22-200006i−6i00−6i6i-1-1110000−3i3i3i−3i00000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-400444-44-44-442222-2-22-2-2-22-20000−6i6i006i−6i-1-11100003i−3i−3i3i00000000000000000000000000000000000000000000000000000

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