Finite Group Databasebeta

← Group #13156412

Character table — Group #13156412

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size1111222222222222224444444444444444444444888888888888121212121212121212121212121212121212121212121212121212121212181818181818242424242424242424242424363636727272727272108108
order1222333446666666663336666666661212121212121212121236661212121212121212444488121212121212121224242424242424242424242424242424226666121212121212121212121212412122466121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1111111-1-1-1-11111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-11-111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-1-11111
χ51111111111111111111111111111111111111111111111111111-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-1-111-1-1
χ61111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-11-111-1-111
χ71111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111
χ81111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1
χ92222222-2-2222222222222222222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2000000000000000000000000000000222222000000000000-2-2-200000000
χ102222222-2-2222222222222222222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2000000000000000000000000000000-2-2-2-2-2-200000000000022200000000
χ11222222-1222-12-12-12222-1-12-1-1-12-1-12-12-122-1-12-1-1-1-1-1-1-122-1-1-1-1-1-1220022222200002222-1-1-1-1-1-1-1-1-1-1-1-1000000-1-100-1-1-1-1000000020-1-10000
χ12222222-1222-12-12-12222-1-12-1-1-12-1-12-12-122-1-12-1-1-1-1-1-1-122-1-1-1-1-1-12200-2-222220000-2-2-2-2111111111111000000-1-100-1-1-1-10000000-20110000
χ13222222-1222-12-12-12222-1-12-1-1-12-1-12-12-122-1-12-1-1-1-1-1-1-122-1-1-1-1-1-1-2-20022-2-2-2-200002222-1-1-1-1-1-1-1-1-1-1-1-1000000110011110000000-20110000
χ14222222-1222-12-12-12222-1-12-1-1-12-1-12-12-122-1-12-1-1-1-1-1-1-122-1-1-1-1-1-1-2-200-2-2-2-2-2-20000-2-2-2-211111111111100000011001111000000020-1-10000
χ1522222-1222-122222-1-12-12-1-122-1-12-1-1-122-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1222200-1-1-1-1-1-1-1-1000000000000000022-1-1-1-12222-1-1-1-1-1-1-1-12-1-100000000
χ1622222-1222-122222-1-12-12-1-122-1-12-1-1-122-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122-2-200-1-1-1-111110000000000000000-2-2111122-2-2-1-1-1-11111-21100000000
χ1722222-1222-122222-1-12-12-1-122-1-12-1-1-122-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-222001111-1-1-1-10000000000000000-2-21111-2-2221111-1-1-1-1-21100000000
χ1822222-1222-122222-1-12-12-1-122-1-12-1-1-122-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20011111111000000000000000022-1-1-1-1-2-2-2-2111111112-1-100000000
χ1922222-12-2-2-122222-1-12-12-1-122-1-12-1-1-1-2-211-2-2-2-2-2-2-1-1-1-111111111000000−i3−i3i3i3−i3−i3i3i3000000000000000022-1-1-1-10000−i3−i3i3i3−i3−i3i3i3-21100000000
χ2022222-12-2-2-122222-1-12-12-1-122-1-12-1-1-1-2-211-2-2-2-2-2-2-1-1-1-111111111000000−i3−i3i3i3i3i3−i3−i30000000000000000-2-211110000−i3−i3i3i3i3i3−i3−i32-1-100000000
χ2122222-12-2-2-122222-1-12-12-1-122-1-12-1-1-1-2-211-2-2-2-2-2-2-1-1-1-111111111000000i3i3−i3−i3−i3−i3i3i30000000000000000-2-211110000i3i3−i3−i3−i3−i3i3i32-1-100000000
χ2222222-12-2-2-122222-1-12-12-1-122-1-12-1-1-1-2-211-2-2-2-2-2-2-1-1-1-111111111000000i3i3−i3−i3i3i3−i3−i3000000000000000022-1-1-1-10000i3i3−i3−i3i3i3−i3−i3-21100000000
χ232222-1222222-12-1222-1-1-12-1-1-12-1-12-12-1222-1-1-12-1-1-1-1-1-1-1-122-1-1-1-100222200002222-1-1-1-12222-1-1-1-1-1-1-1-100000000-1-10000-1-1-1-10000200-1-100
χ242222-1222222-12-1222-1-1-12-1-1-12-1-12-12-1222-1-1-12-1-1-1-1-1-1-1-122-1-1-1-10022-2-2000022221111-2-2-2-21111111100000000-1-10000-1-1-1-10000-2001100
χ252222-1222222-12-1222-1-1-12-1-1-12-1-12-12-1222-1-1-12-1-1-1-1-1-1-1-122-1-1-1-100-2-2220000-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-10000000011000011110000-2001100
χ262222-1222222-12-1222-1-1-12-1-1-12-1-12-12-1222-1-1-12-1-1-1-1-1-1-1-122-1-1-1-100-2-2-2-20000-2-2-2-21111-2-2-2-2111111110000000011000011110000200-1-100
χ2722-2-22222-2-2-222-2-22-2-2222-2-2-2-2222-2-2-2-22-2-2-222222-2-222-22-222-2-2002i−2i0000002i−2i2i−2i0000000000000000000000002i−2i00002i−2i2i−2i00000000000
χ2822-2-22222-2-2-222-2-22-2-2222-2-2-2-2222-2-2-2-22-2-2-222222-2-222-22-222-2-200−2i2i000000−2i2i−2i2i000000000000000000000000−2i2i0000−2i2i−2i2i00000000000
χ2922-2-2222-22-2-222-2-22-2-2222-2-2-2-2222-2-222-2222-2-2-2-22-2-22-22-22-2-2222i−2i00002i−2i2i−2i000000000000000000000000002i−2i002i−2i2i−2i000000000000000
χ3022-2-2222-22-2-222-2-22-2-2222-2-2-2-2222-2-222-2222-2-2-2-22-2-22-22-22-2-222−2i2i0000−2i2i−2i2i00000000000000000000000000−2i2i00−2i2i−2i2i000000000000000
χ3122-2-222-1-22-212-1-212-2-22-1-1-21112-1-1-212-1-22-1-1-2111-111-1-221-111-1-12i−2i00002i−2i2i−2i0000000033−3−33333−3−3−3−3000000−ii00−ii−ii000000000−i3i30000
χ3222-2-222-1-22-212-1-212-2-22-1-1-21112-1-1-212-1-22-1-1-2111-111-1-221-111-1-12i−2i00002i−2i2i−2i00000000−3−333−3−3−3−33333000000−ii00−ii−ii000000000i3−i30000
χ3322-2-222-1-22-212-1-212-2-22-1-1-21112-1-1-212-1-22-1-1-2111-111-1-221-111-1-1−2i2i0000−2i2i−2i2i0000000033−3−33333−3−3−3−3000000i−i00i−ii−i000000000i3−i30000
χ3422-2-222-1-22-212-1-212-2-22-1-1-21112-1-1-212-1-22-1-1-2111-111-1-221-111-1-1−2i2i0000−2i2i−2i2i00000000−3−333−3−3−3−33333000000i−i00i−ii−i000000000−i3i30000
χ3522-2-22-122-21-222-2-2-11-2-12-11-2-21-12-111-2-2-11-2-22222-111-1-11-11-1-111002i−2i003−3−33−ii−ii000000000000000000−i3−i3i3i3002i−2i3−3−33−ii−ii0−i3i300000000
χ3622-2-22-122-21-222-2-2-11-2-12-11-2-21-12-111-2-2-11-2-22222-111-1-11-11-1-111002i−2i00−333−3−ii−ii000000000000000000i3i3−i3−i3002i−2i−333−3−ii−ii0i3−i300000000
χ3722-2-22-122-21-222-2-2-11-2-12-11-2-21-12-111-2-2-11-2-22222-111-1-11-11-1-11100−2i2i003−3−33i−ii−i000000000000000000i3i3−i3−i300−2i2i3−3−33i−ii−i0i3−i300000000
χ3822-2-22-122-21-222-2-2-11-2-12-11-2-21-12-111-2-2-11-2-22222-111-1-11-11-1-11100−2i2i00−333−3i−ii−i000000000000000000−i3−i3i3i300−2i2i−333−3i−ii−i0−i3i300000000
χ3922-2-22-12-221-222-2-2-11-2-12-11-2-21-12-111221-122-2-2-2-2-111-11-11-111-1-12i−2i0000−ii−ii3−3−33000000000000000000−i3−i3i3i32i−2i00−ii−ii3−3−330i3−i300000000
χ4022-2-22-12-221-222-2-2-11-2-12-11-2-21-12-111221-122-2-2-2-2-111-11-11-111-1-12i−2i0000−ii−ii−333−3000000000000000000i3i3−i3−i32i−2i00−ii−ii−333−30−i3i300000000
χ4122-2-22-12-221-222-2-2-11-2-12-11-2-21-12-111221-122-2-2-2-2-111-11-11-111-1-1−2i2i0000i−ii−i3−3−33000000000000000000i3i3−i3−i3−2i2i00i−ii−i3−3−330−i3i300000000
χ4222-2-22-12-221-222-2-2-11-2-12-11-2-21-12-111221-122-2-2-2-2-111-11-11-111-1-1−2i2i0000i−ii−i−333−3000000000000000000−i3−i3i3i3−2i2i00i−ii−i−333−30i3−i300000000
χ4322-2-2-1222-2-2-2-121-22-21-1-12111-2-1-121-21-22-211-12-1-1-111-1-112-2-1-111002i−2i0000002i−2i2i−2i−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i300000000−ii0000−ii−ii00000003−300
χ4422-2-2-1222-2-2-2-121-22-21-1-12111-2-1-121-21-22-211-12-1-1-111-1-112-2-1-111002i−2i0000002i−2i2i−2ii3i3−i3−i30000i3i3−i3−i3i3i3−i3−i300000000−ii0000−ii−ii0000000−3300
χ4522-2-2-1222-2-2-2-121-22-21-1-12111-2-1-121-21-22-211-12-1-1-111-1-112-2-1-11100−2i2i000000−2i2i−2i2i−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i300000000i−i0000i−ii−i0000000−3300
χ4622-2-2-1222-2-2-2-121-22-21-1-12111-2-1-121-21-22-211-12-1-1-111-1-112-2-1-11100−2i2i000000−2i2i−2i2ii3i3−i3−i30000i3i3−i3−i3i3i3−i3−i300000000i−i0000i−ii−i00000003−300
χ472-2-222220022-2-2-2-2-2-2222222-22-2-2-2-2-2000000000022-2-2000000000000−i2i200000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22-22-22-2000000000000000000000−i2i2
χ482-2-222220022-2-2-2-2-2-2222222-22-2-2-2-2-2000000000022-2-2000000000000−i2i200000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2-22-22-22000000000000000000000i2−i2
χ492-2-222220022-2-2-2-2-2-2222222-22-2-2-2-2-2000000000022-2-2000000000000i2−i200000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i22-22-22-2000000000000000000000i2−i2
χ502-2-222220022-2-2-2-2-2-2222222-22-2-2-2-2-2000000000022-2-2000000000000i2−i200000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2-22-22-22000000000000000000000−i2i2
χ51444444-2-4-44-24-24-24444-2-24-2-2-24-2-24-2-42-4-422-4222-2-2-2-2-4-422222200000000000000000000000000000000000000000000000000000000000
χ5244444-2-244-2-24-24-2-2-24-2-21-2-2-21-2-21-214-2-2-2-2-24-2-2-21111-2-2111111440000-2-2-2-200000000000000000000000000-2-2001111000000000000000
χ5344444-2-244-2-24-24-2-2-24-2-21-2-2-21-2-21-214-2-2-2-2-24-2-2-21111-2-2111111-4-400002222000000000000000000000000002200-1-1-1-1000000000000000
χ5444444-2-2-4-4-2-24-24-2-2-24-2-21-2-2-21-2-21-21-422222-4222111122-1-1-1-1-1-1000000−2i3−2i32i32i3000000000000000000000000000000i3i3−i3−i3000000000000000
χ5544444-2-2-4-4-2-24-24-2-2-24-2-21-2-2-21-2-21-21-422222-4222111122-1-1-1-1-1-10000002i32i3−2i3−2i3000000000000000000000000000000−i3−i3i3i3000000000000000
χ564444-244-4-444-24-2444-2-2-24-2-2-24-2-24-242-4-4-4222-422-2-2-2-222-4-4222200000000000000000000000000000000000000000000000000000000000
χ574444-24-2444-2-2-2-2-244-2-21-2-211-2-21-2-2-2-2-24411-2-2111111-2-2-2-2111100004400000000-2-2-2-2-2-2-2-21111111100000000000000000000000000000
χ584444-24-2444-2-2-2-2-244-2-21-2-211-2-21-2-2-2-2-24411-2-2111111-2-2-2-211110000-4-40000000022222222-1-1-1-1-1-1-1-100000000000000000000000000000
χ594444-24-2-4-44-2-2-2-2-244-2-21-2-211-2-21-2-2-222-4-4-1-122-1-111112222-1-1-1-100000000000000000000003i3i−3i−3i−3i−3i3i3i00000000000000000000000000000
χ604444-24-2-4-44-2-2-2-2-244-2-21-2-211-2-21-2-2-222-4-4-1-122-1-111112222-1-1-1-10000000000000000000000−3i−3i3i3i3i3i−3i−3i00000000000000000000000000000
χ614444-2-2444-24-24-24-2-2-21-2-21-2-2-21-2-21-2-24-2-2-2-2-24-2-2111111-2-211110044000000-2-2-2-2000000000000000000000000-2-20000111100000000000
χ624444-2-2444-24-24-24-2-2-21-2-21-2-2-21-2-21-2-24-2-2-2-2-24-2-2111111-2-2111100-4-40000002222000000000000000000000000220000-1-1-1-100000000000
χ634444-2-24-4-4-24-24-24-2-2-21-2-21-2-2-21-2-21-22-422222-4221111-1-122-1-1-1-10000000000−2i3−2i32i32i3000000000000000000000000000000i3i3−i3−i300000000000
χ644444-2-24-4-4-24-24-24-2-2-21-2-21-2-2-21-2-21-22-422222-4221111-1-122-1-1-1-100000000002i32i3−2i3−2i3000000000000000000000000000000−i3−i3i3i300000000000
χ6544-4-444-24-4-424-2-424-4-44-2-2-42224-2-2-42-424-4224-2-2-2-222-24-4-22-2-22200000000000000000000000000000000000000000000000000000000000
χ6644-4-44-2-24-4224-2-42-22-4-2-21222-1-2-212-1-42-22224-2-2-21-1-11-221-111-1-100000023−23−2323000000000000000000000000000000−333−3000000000000000
χ6744-4-44-2-24-4224-2-42-22-4-2-21222-1-2-212-1-42-22224-2-2-21-1-11-221-111-1-1000000−232323−230000000000000000000000000000003−3−33000000000000000
χ6844-4-44-2-2-44224-2-42-22-4-2-21222-1-2-212-14-22-2-2-2-42221-1-112-2-11-1-1114i−4i0000−2i2i−2i2i00000000000000000000000000−2i2i00i−ii−i000000000000000
χ6944-4-44-2-2-44224-2-42-22-4-2-21222-1-2-212-14-22-2-2-2-42221-1-112-2-11-1-111−4i4i00002i−2i2i−2i000000000000000000000000002i−2i00−ii−ii000000000000000
χ7044-4-4-244-44-4-4-242-44-42-2-24222-4-2-242-4-24-44-2-22-422-222-22-2-4422-2-200000000000000000000000000000000000000000000000000000000000
χ7144-4-4-24-24-4-42-2-2224-42-21-22-1-12-21-222224-4-1-1-2-2111-1-11-22-2211-1-100000000000000−2i3−2i32i32i30000i3i3−i3−i3i3i3−i3−i300000000000000000000000000000
χ7244-4-4-24-24-4-42-2-2224-42-21-22-1-12-21-222224-4-1-1-2-2111-1-11-22-2211-1-1000000000000002i32i3−2i3−2i30000−i3−i3i3i3−i3−i3i3i300000000000000000000000000000
χ7344-4-4-24-2-44-42-2-2224-42-21-22-1-12-21-222-2-2-441122-1-11-1-112-22-2-1-1110000000000000000002323−23−23−3−3−3−3333300000000000000000000000000000
χ7444-4-4-24-2-44-42-2-2224-42-21-22-1-12-21-222-2-2-441122-1-11-1-112-22-2-1-111000000000000000000−23−2323233333−3−3−3−300000000000000000000000000000
χ7544-4-4-2-244-42-4-242-4-2221-2-2-12221-2-2-122-4-2222-24-2-21-1-111-1-2211-1-1004i−4i000000−2i2i−2i2i000000000000000000000000−2i2i0000i−ii−i00000000000
χ7644-4-4-2-244-42-4-242-4-2221-2-2-12221-2-2-122-4-2222-24-2-21-1-111-1-2211-1-100−4i4i0000002i−2i2i−2i0000000000000000000000002i−2i0000−ii−ii00000000000
χ7744-4-4-2-24-442-4-242-4-2221-2-2-12221-2-2-12-242-2-2-22-4221-1-11-112-2-1-111000000000023−23−2323000000000000000000000000000000−333−300000000000
χ7844-4-4-2-24-442-4-242-4-2221-2-2-12221-2-2-12-242-2-2-22-4221-1-11-112-2-1-1110000000000−232323−230000000000000000000000000000003−3−3300000000000
χ794-44-444400-4-4-4-444-44-4444-4-44-4-4-4-44400000000004-44-40000000000000000000000000000000000000000000000000000000000000000000
χ804-44-444-200-42-424-2-44-44-2-2-42-22-4224-20000000000-22-2200000000000000000000000000i6−i6−i6i6i6−i6i6−i6−i6i6−i6i600000000000000000000000000000
χ814-44-444-200-42-424-2-44-44-2-2-42-22-4224-20000000000-22-2200000000000000000000000000−i6i6i6−i6−i6i6−i6i6i6−i6i6−i600000000000000000000000000000
χ824-44-44-24002-4-4-4442-2-4-24-22-4422-42-2-20000000000-22-220000000000000000000000000000000000000000−2i32i32i3−2i300000000000000000000000
χ834-44-44-24002-4-4-4442-2-4-24-22-4422-42-2-20000000000-22-2200000000000000000000000000000000000000002i3−2i3−2i32i300000000000000000000000
χ844-44-4-24400-4-42-4-24-442-2-2422-2-422-4-240000000000-22-2200000000000000000000006−6−6600006−6−666−6−6600000000000000000000000000000
χ854-44-4-24400-4-42-4-24-442-2-2422-2-422-4-240000000000-22-220000000000000000000000−666−60000−666−6−666−600000000000000000000000000000
χ864-44-4-24-200-4222-2-2-442-21-22-1122-12-2-200003i−3i003i−3i1-11-100003i−3i3i−3i000000000000006−6−66i6−i6−i6i6−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ1300000000000000000000000000000
χ874-44-4-24-200-4222-2-2-442-21-22-1122-12-2-200003i−3i003i−3i1-11-100003i−3i3i−3i00000000000000−666−6−i6i6i6−i6ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ1300000000000000000000000000000
χ884-44-4-24-200-4222-2-2-442-21-22-1122-12-2-20000−3i3i00−3i3i1-11-10000−3i3i−3i3i000000000000006−6−66−i6i6i6−i6ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ2300000000000000000000000000000
χ894-44-4-24-200-4222-2-2-442-21-22-1122-12-2-20000−3i3i00−3i3i1-11-10000−3i3i−3i3i00000000000000−666−6i6−i6−i6i6−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ2300000000000000000000000000000
χ904-4-4444-2004-2-42-42-4-444-2-24-22-2-422-420000000000-2-222000000000000−2i22i200000000−2i22i2−2i22i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000000000000000000000000
χ914-4-4444-2004-2-42-42-4-444-2-24-22-2-422-420000000000-2-2220000000000002i2−2i2000000002i2−2i22i2−2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000000000000000000000000
χ924-4-444-2400-24-4-4-4-4224-24-2-24-4-22-42220000000000-2-222000000000000000000000000000000000000004-4-22-2200000000000000000000000
χ934-4-444-2400-24-4-4-4-4224-24-2-24-4-22-42220000000000-2-22200000000000000000000000000000000000000-442-22-200000000000000000000000
χ944-4-44-24400442-42-4-4-4-2-2-24-2-22422-42-40000000000-2-222000000000000−2i22i200000000i2−i2i2−i2−2i22i2−2i22i2i2−i2i2−i2i2−i2i2−i200000000000000000000000000000
χ954-4-44-24400442-42-4-4-4-2-2-24-2-22422-42-40000000000-2-2220000000000002i2−2i200000000−i2i2−i2i22i2−2i22i2−2i2−i2i2−i2i2−i2i2−i2i200000000000000000000000000000
χ964-4-44-24-2004-22222-4-4-2-21-2-21-1-22-122200003i−3i00−3i3i11-1-10000−3i3i3i−3i0000−2i22i200000000i2−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−ζ2300000000000000000000000000000
χ974-4-44-24-2004-22222-4-4-2-21-2-21-1-22-122200003i−3i00−3i3i11-1-10000−3i3i3i−3i00002i2−2i200000000−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+ζ2300000000000000000000000000000
χ984-4-44-24-2004-22222-4-4-2-21-2-21-1-22-12220000−3i3i003i−3i11-1-100003i−3i−3i3i0000−2i22i200000000i2−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+2ζ2300000000000000000000000000000
χ994-4-44-24-2004-22222-4-4-2-21-2-21-1-22-12220000−3i3i003i−3i11-1-100003i−3i−3i3i00002i2−2i200000000−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+ζ13−2ζ2300000000000000000000000000000
χ1008888-4-4-488-4-4-4-4-4-4-4-4-4222222222222-4-4-4-422-4-422-1-1-1-12222-1-1-1-100000000000000000000000000000000000000000000000000000000000
χ1018888-4-4-4-8-8-4-4-4-4-4-4-4-4-42222222222224444-2-244-2-2-1-1-1-1-2-2-2-2111100000000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-4-48-844-4-444-444222-2-2-2-2222-2-244-44-2-2-4-422-111-12-22-2-1-11100000000000000000000000000000000000000000000000000000000000
χ10388-8-8-4-4-4-8844-4-444-444222-2-2-2-2222-2-2-4-44-42244-2-2-111-1-22-2211-1-100000000000000000000000000000000000000000000000000000000000
χ1048-88-88-4-40044-848-44-4-8-4-4244-4-244-2-4200000000002-22-20000000000000000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-48004-84-8-484-442-4-4-24-44-2442-400000000002-22-20000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-4-4-4004444-4-44-44222-2-22-2-2-2-22200006i−6i006i−6i-11-110000−3i3i−3i3i00000000000000000000000000000000000000000000000000000000000
χ1078-88-8-4-4-4004444-4-44-44222-2-22-2-2-2-2220000−6i6i00−6i6i-11-1100003i−3i3i−3i00000000000000000000000000000000000000000000000000000000000
χ1088-8-888-4-400-4-4-84-84448-4-42-4-44244-24-2000000000022-2-20000000000000000000000000000000000000000000000000000000000000000000
χ1098-8-88-4-4800-484-84-844-42-4-42-44-4-244-24000000000022-2-20000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-400-4-4444444-422222-22-2-2-2-2-200006i−6i00−6i6i-1-11100003i−3i−3i3i00000000000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-400-4-4444444-422222-22-2-2-2-2-20000−6i6i006i−6i-1-1110000−3i3i3i−3i00000000000000000000000000000000000000000000000000000000000

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