Finite Group Databasebeta

← Group #13162039

Character table — Group #13162039

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111122222222222222444444444444444444444444444444448888888888888888888888888888888888181818181818181836363636363636363636363636363636363636363636363672727272
order12442333466612121212121223333346666666666121212121212121212121212121212666666666666666661212121212121212121212121212121212888824242424244488888812121212242424242424242424246122424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111
χ5111111111111111111-111111-11-1-1111111111-1-111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ6111111111111111111-111111-11-1-1111111111-1-111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ7111111111111111111-111111-11-1-1111111111-1-111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-111-1-1
χ8111111111111111111-111111-11-1-1111111111-1-111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-111
χ911-1-1-11111111-1-1-1-1-1-1111111-1-111-111111-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-11111111111-1-111111-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i1-1i−ii−ii−i1-1ii−i−ii−iii−i−i11-1-11-1i−i
χ1011-1-1-11111111-1-1-1-1-1-1111111-1-111-111111-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-11111111111-1-111111-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i-11−iii−i−ii-11−i−iiii−iii−i−i-1-111-11−ii
χ1111-1-1-11111111-1-1-1-1-1-1111111-1-111-111111-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-11111111111-1-111111-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii1-1−ii−ii−ii1-1−i−iii−ii−i−iii11-1-11-1−ii
χ1211-1-1-11111111-1-1-1-1-1-1111111-1-111-111111-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-11111111111-1-111111-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii-11i−i−iii−i-11ii−i−i−ii−i−iii-1-111-11i−i
χ1311-1-1-11111111-1-1-1-1-1-1-1111111-1-1-1-111111-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111ii−i−iii−i−i1-1−ii−iii−i-11−i−iiii−i−i−iii-1-1111-1i−i
χ1411-1-1-11111111-1-1-1-1-1-1-1111111-1-1-1-111111-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111ii−i−iii−i−i-11i−i−ii−ii1-1ii−i−ii−i−i−iii11-1-1-11−ii
χ1511-1-1-11111111-1-1-1-1-1-1-1111111-1-1-1-111111-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111−i−iii−i−iii1-1i−ii−i−ii-11ii−i−i−iiii−i−i-1-1111-1−ii
χ1611-1-1-11111111-1-1-1-1-1-1-1111111-1-1-1-111111-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111−i−iii−i−iii-11−iii−ii−i1-1−i−iii−iiii−i−i11-1-1-11i−i
χ172222222-1222-1-1-1222222-1-1-1-12222-12-1-1-1-12222222-1-1-1-1-1-1-1-1-12-12-1-1-1-122-1-1-1-1-1-1-1-12-12-1-1-1-122-1-1-1-1-1-1-1-10000000022000000220000000000-1-1-1-1-1-100
χ182222222-1222-1-1-1222222-1-1-1-12222-12-1-1-1-12222222-1-1-1-1-1-1-1-1-12-12-1-1-1-122-1-1-1-1-1-1-1-12-12-1-1-1-122-1-1-1-1-1-1-1-100000000-2-2000000-2-2000000000011111100
χ192222222-1222-1-1-12222-22-1-1-1-1-22-2-2-12-1-1-1-1222-2-222-1-1-1-1-1-1-1-1-1-212-1-1-1-1-2-211111111-212-1-1-1-1-2-2111111110000000022000000-2-200000000001111-1-100
χ202222222-1222-1-1-12222-22-1-1-1-1-22-2-2-12-1-1-1-1222-2-222-1-1-1-1-1-1-1-1-1-212-1-1-1-1-2-211111111-212-1-1-1-1-2-21111111100000000-2-2000000220000000000-1-1-1-11100
χ21222222-1222-122222-1-12-12-1-1-12-1-1-12-12-1-1-122-1-1-1-1-122-1-1-1-1-1-1222-12-1-1-1-1-122-1-1-1-1-1-122-12-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-100002200000000-1-1-1-1-1-100000000
χ22222222-1222-122222-1-12-12-1-1-12-1-1-12-12-1-1-122-1-1-1-1-122-1-1-1-1-1-1222-12-1-1-1-1-122-1-1-1-1-1-122-12-1-1-1-1-122-1-1-1-1-1-1-2-2-2-211110000-2-20000000011111100000000
χ23222222-1222-122222-1-1-2-12-1-1-1-2-1112-12-1-1-122-111-1-122-1-1-1-1-1-12-2-2-12-1-1-111-2-2111111-2-2-12-1-1-111-2-21111112222-1-1-1-10000-2-200000000-1-1111100000000
χ24222222-1222-122222-1-1-2-12-1-1-1-2-1112-12-1-1-122-111-1-122-1-1-1-1-1-12-2-2-12-1-1-111-2-2111111-2-2-12-1-1-111-2-2111111-2-2-2-211110000220000000011-1-1-1-100000000
χ2522222-1222-12222-1-1222-1-12-1-122222-1-12-1-1-1-1222-1-1-1-122-1-1-1-12-12-1-12-1-1-1-1-1-122-1-1-1-1-12-1-12-1-1-1-1-1-122-1-1-1-1000000000022002200-1-1-1-1000000000000-1-1
χ2622222-1222-12222-1-1222-1-12-1-122222-1-12-1-1-1-1222-1-1-1-122-1-1-1-12-12-1-12-1-1-1-1-1-122-1-1-1-1-12-1-12-1-1-1-1-1-122-1-1-1-10000000000-2-200-2-200111100000000000011
χ2722222-1222-12222-1-122-2-1-12-1-1-22-2-22-1-12-1-1-1-12-2-2-1-1-1-122-1-1-1-121-2-1-12-1-11111-2-211111-2-1-12-1-11111-2-2111100000000002200-2-200-1-1-1-100000000000011
χ2822222-1222-12222-1-122-2-1-12-1-1-22-2-22-1-12-1-1-1-12-2-2-1-1-1-122-1-1-1-121-2-1-12-1-11111-2-211111-2-1-12-1-11111-2-211110000000000-2-20022001111000000000000-1-1
χ292222-2222-22222222220222220-200-222222-2-2-2002222222222-200-2-2-2-2-2000000000000-2-2-2-2-200000000002-22-2222200000000000000-2-2000000000000
χ302222-2222-22222222220222220-200-222222-2-2-2002222222222-200-2-2-2-2-2000000000000-2-2-2-2-20000000000-22-22-2-2-2-20000000000000022000000000000
χ312222-22-12-22-122222-1-10-12-1-1-101−i3i3-2-12-1-1-1-2-21−i3i3-1-122-1-1-1-1-1-1-2001-2111−i3i300−i3i3−i3−i3i3i3001-2111−i3i300−i3i3−i3−i3i3i32-22-2-1-1-1-10000000000000011−i3i3−i3i300000000
χ322222-22-12-22-122222-1-10-12-1-1-101−i3i3-2-12-1-1-1-2-21−i3i3-1-122-1-1-1-1-1-1-2001-2111−i3i300−i3i3−i3−i3i3i3001-2111−i3i300−i3i3−i3−i3i3i3-22-22111100000000000000-1-1i3−i3i3−i300000000
χ332222-22-12-22-122222-1-10-12-1-1-101i3−i3-2-12-1-1-1-2-21i3−i3-1-122-1-1-1-1-1-1-2001-2111i3−i300i3−i3i3i3−i3−i3001-2111i3−i300i3−i3i3i3−i3−i32-22-2-1-1-1-10000000000000011i3−i3i3−i300000000
χ342222-22-12-22-122222-1-10-12-1-1-101i3−i3-2-12-1-1-1-2-21i3−i3-1-122-1-1-1-1-1-1-2001-2111i3−i300i3−i3i3i3−i3−i3001-2111i3−i300i3−i3i3i3−i3−i3-22-22111100000000000000-1-1−i3i3−i3i300000000
χ3522-2-22222-2222-2-2-2-2-2-202222202002222222-2-200-2-2-2-2-2-2-2-2-2-2-20022222000000000000-2-2-2-2-200000000002i−2i−2i2i2i2i−2i−2i00000000000000−2i2i000000000000
χ3622-2-22222-2222-2-2-2-2-2-202222202002222222-2-200-2-2-2-2-2-2-2-2-2-2-20022222000000000000-2-2-2-2-20000000000−2i2i2i−2i−2i−2i2i2i000000000000002i−2i000000000000
χ3722-2-222-12-22-12-2-2-2-2110-12-1-1-10-1−i3i32-12-1-1-12-21i3−i311-2-2111111-200-12-1-1-1−i3i300−i3i3−i3−i3i3i3001-2111i3−i300i3−i3i3i3−i3−i32i−2i−2i2i−i−iii00000000000000i−i3−3−3300000000
χ3822-2-222-12-22-12-2-2-2-2110-12-1-1-10-1−i3i32-12-1-1-12-21i3−i311-2-2111111-200-12-1-1-1−i3i300−i3i3−i3−i3i3i3001-2111i3−i300i3−i3i3i3−i3−i3−2i2i2i−2iii−i−i00000000000000−ii−333−300000000
χ3922-2-222-12-22-12-2-2-2-2110-12-1-1-10-1i3−i32-12-1-1-12-21−i3i311-2-2111111-200-12-1-1-1i3−i300i3−i3i3i3−i3−i3001-2111−i3i300−i3i3−i3−i3i3i32i−2i−2i2i−i−iii00000000000000i−i−333−300000000
χ4022-2-222-12-22-12-2-2-2-2110-12-1-1-10-1i3−i32-12-1-1-12-21−i3i311-2-2111111-200-12-1-1-1i3−i300i3−i3i3i3−i3−i3001-2111−i3i300−i3i3−i3−i3i3i3−2i2i2i−2iii−i−i00000000000000−ii3−3−3300000000
χ4122-2-2-222-1222-111-2-2-2-222-1-1-1-1-2-22212-1-1-1-1-222-2-2-2-211111111-12-1-2111122-1-1-1-1-1-1-1-1-212-1-1-1-1-2-211111111000000002-20000002-20000000000-1-111-1100
χ4222-2-2-222-1222-111-2-2-2-222-1-1-1-1-2-22212-1-1-1-1-222-2-2-2-211111111-12-1-2111122-1-1-1-1-1-1-1-1-212-1-1-1-1-2-21111111100000000-22000000-22000000000011-1-11-100
χ4322-2-2-222-1222-111-2-2-2-2-22-1-1-1-12-2-2-212-1-1-1-1-22222-2-211111111-1-21-21111-2-2111111112-12-1-1-1-122-1-1-1-1-1-1-1-1000000002-2000000-22000000000011-1-1-1100
χ4422-2-2-222-1222-111-2-2-2-2-22-1-1-1-12-2-2-212-1-1-1-1-22222-2-211111111-1-21-21111-2-2111111112-12-1-1-1-122-1-1-1-1-1-1-1-100000000-220000002-20000000000-1-1111-100
χ4522-2-2-22-1222-12-2-2-2-2112-12-1-1-1-21-1-1-2-12-1-1-1-22-11111-2-21111112221-2111-1-122-1-1-1-1-1-1-2-2-12-1-1-111-2-21111112i2i−2i−2i−i−iii00002i−2i00000000−ii−i−iii00000000
χ4622-2-2-22-1222-12-2-2-2-2112-12-1-1-1-21-1-1-2-12-1-1-1-22-11111-2-21111112221-2111-1-122-1-1-1-1-1-1-2-2-12-1-1-111-2-2111111−2i−2i2i2iii−i−i0000−2i2i00000000i−iii−i−i00000000
χ4722-2-2-22-1222-12-2-2-2-211-2-12-1-1-12111-2-12-1-1-1-22-1-1-111-2-21111112-2-21-211111-2-211111122-12-1-1-1-1-122-1-1-1-1-1-12i2i−2i−2i−i−iii0000−2i2i00000000−iiii−i−i00000000
χ4822-2-2-22-1222-12-2-2-2-211-2-12-1-1-12111-2-12-1-1-1-22-1-1-111-2-21111112-2-21-211111-2-211111122-12-1-1-1-1-122-1-1-1-1-1-1−2i−2i2i2iii−i−i00002i−2i00000000i−i−i−iii00000000
χ4922-2-2-2-1222-122-2-211-2-22-1-12-1-1-2-222-2-1-12-1-11-12-2-21111-2-211112-1211-211-1-1-1-122-1-1-1-11-2-1-12-1-11111-2-2111100000000002i−2i002i−2i00−i−iii000000000000−ii
χ5022-2-2-2-1222-122-2-211-2-22-1-12-1-1-2-222-2-1-12-1-11-12-2-21111-2-211112-1211-211-1-1-1-122-1-1-1-11-2-1-12-1-11111-2-211110000000000−2i2i00−2i2i00ii−i−i000000000000i−i
χ5122-2-2-2-1222-122-2-211-2-2-2-1-12-1-12-2-2-2-2-1-12-1-11-12221111-2-2111121-211-2111111-2-21111-12-1-12-1-1-1-1-1-122-1-1-1-100000000002i−2i00−2i2i00−i−iii000000000000i−i
χ5222-2-2-2-1222-122-2-211-2-2-2-1-12-1-12-2-2-2-2-1-12-1-11-12221111-2-2111121-211-2111111-2-21111-12-1-12-1-1-1-1-1-122-1-1-1-10000000000−2i2i002i−2i00ii−i−i000000000000−ii
χ53444444-2-244-2-2-2-244-2-24-2-21114-2-2-2-2-2-211144-2-2-2-2-2-2-2111111-24-2-2-2111-2-2-2-21111114-2-2-2111-2-2-2-2111111000000000000000000000000000000000000
χ54444444-2-244-2-2-2-244-2-2-4-2-2111-4-222-2-2-211144-222-2-2-2-2111111-2-42-2-21112222-1-1-1-1-1-1-42-2-21112222-1-1-1-1-1-1000000000000000000000000000000000000
χ5544444-24-24-24-2-2-2-2-2444-21-2114444-2-21-211-2-2444-2-211-2-21111-2-2-2-21-211-2-211-2-21111-2-2-21-211-2-211-2-21111000000000000000000000000000000000000
χ5644444-24-24-24-2-2-2-2-244-4-21-211-44-4-4-2-21-211-2-24-4-4-2-211-2-21111-222-21-21122-1-122-1-1-1-122-21-21122-1-122-1-1-1-1000000000000000000000000000000000000
χ5744444-2-244-2-2444-2-2-2-241-2-2114-2-2-241-2-211-2-2-2-2-211-2-2-2-211114-241-2-21111-2-2-2-21111-241-2-21111-2-2-2-21111000000000000000000000000000000000000
χ5844444-2-244-2-2444-2-2-2-2-41-2-211-4-22241-2-211-2-2-22211-2-2-2-2111142-41-2-211-1-12222-1-1-1-12-41-2-211-1-12222-1-1-1-1000000000000000000000000000000000000
χ5944444-2-2-24-2-2-2-2-2-2-2-2-24111−1−3i32−1+3i324-2-2-2-2111−1−3i32−1+3i32-2-2-2-2-2111111−1−3i32−1−3i32−1+3i32−1+3i32-2-2-2111−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32-2-2111−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000000000000
χ6044444-2-2-24-2-2-2-2-2-2-2-2-24111−1+3i32−1−3i324-2-2-2-2111−1+3i32−1−3i32-2-2-2-2-2111111−1+3i32−1+3i32−1−3i32−1−3i32-2-2-2111−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32-2-2111−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000000000000
χ6144444-2-2-24-2-2-2-2-2-2-2-2-2-4111−1−3i32−1+3i32-4-222-2111−1−3i32−1+3i32-2-2-222111111−1−3i32−1−3i32−1+3i32−1+3i32-222111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i3222111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000000000000000
χ6244444-2-2-24-2-2-2-2-2-2-2-2-2-4111−1+3i32−1−3i32-4-222-2111−1+3i32−1−3i32-2-2-222111111−1+3i32−1+3i32−1−3i32−1−3i32-222111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i3222111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32000000000000000000000000000000000000
χ634444-444-2-444-2-2-2444404-2-2-2-20-40024-2-2-2-2-4-4-40044-2-2-2-2-2-2-2-2200-42222000000000000-422220000000000000000000000000000000000000000000000
χ644444-44-2-2-44-2-2-2-244-2-20-2-211102−2i32i32-2-2111-4-42−2i32i3-2-2-2-211111120022-1-1-1−2i32i300i3−i3i3i3−i3−i30022-1-1-1−2i32i300i3−i3i3i3−i3−i3000000000000000000000000000000000000
χ654444-44-2-2-44-2-2-2-244-2-20-2-2111022i3−2i32-2-2111-4-422i3−2i3-2-2-2-211111120022-1-1-12i3−2i300−i3i3−i3−i3i3i30022-1-1-12i3−2i300−i3i3−i3−i3i3i3000000000000000000000000000000000000
χ664444-4-244-4-24444-2-2440-2-24-2-20-400-4-2-24-2-222-400-2-2-2-244-2-2-2-2-40022-42200000000000022-4220000000000000000000000000000000000000000000000
χ674444-4-24-2-4-24-2-2-2-2-2440-21-2110-4002-21-21122-400-2-211-2-211112002-12-1-1003-3003-3-33002-12-1-1003-3003-3-33000000000000000000000000000000000000
χ684444-4-24-2-4-24-2-2-2-2-2440-21-2110-4002-21-21122-400-2-211-2-211112002-12-1-100-3300-333-3002-12-1-100-3300-333-3000000000000000000000000000000000000
χ694444-4-2-24-4-2-2444-2-2-2-201-2-21102−2i32i3-41-2-211222−2i32i311-2-2-2-21111-400-122-1-1i3−i300−2i32i3i3i3−i3−i300-122-1-1i3−i300−2i32i3i3i3−i3−i3000000000000000000000000000000000000
χ704444-4-2-24-4-2-2444-2-2-2-201-2-211022i3−2i3-41-2-2112222i3−2i311-2-2-2-21111-400-122-1-1−i3i3002i3−2i3−i3−i3i3i300-122-1-1−i3i3002i3−2i3−i3−i3i3i3000000000000000000000000000000000000
χ714444-4-2-2-2-4-2-2-2-2-2-2-2-2-20111−1−3i32−1+3i3202−2i32i32111−1−3i32−1+3i32222−2i32i3111111−1−3i32−1−3i32−1+3i32−1+3i32200-1-1-11+3i321−3i32i3−i33-3i3−i3−3−i323−i323+i32−3+i3200-1-1-11+3i321−3i32i3−i33-3i3−i3−3−i323−i323+i32−3+i32000000000000000000000000000000000000
χ724444-4-2-2-2-4-2-2-2-2-2-2-2-2-20111−1−3i32−1+3i32022i3−2i32111−1−3i32−1+3i322222i3−2i3111111−1−3i32−1−3i32−1+3i32−1+3i32200-1-1-11+3i321−3i32−i3i3-33−i3i33+i32−3+i32−3−i323−i3200-1-1-11+3i321−3i32−i3i3-33−i3i33+i32−3+i32−3−i323−i32000000000000000000000000000000000000
χ734444-4-2-2-2-4-2-2-2-2-2-2-2-2-20111−1+3i32−1−3i3202−2i32i32111−1+3i32−1−3i32222−2i32i3111111−1+3i32−1+3i32−1−3i32−1−3i32200-1-1-11−3i321+3i32i3−i3-33i3−i33−i32−3−i32−3+i323+i3200-1-1-11−3i321+3i32i3−i3-33i3−i33−i32−3−i32−3+i323+i32000000000000000000000000000000000000
χ744444-4-2-2-2-4-2-2-2-2-2-2-2-2-20111−1+3i32−1−3i32022i3−2i32111−1+3i32−1−3i322222i3−2i3111111−1+3i32−1+3i32−1−3i32−1−3i32200-1-1-11−3i321+3i32−i3i33-3−i3i3−3+i323+i323−i32−3−i3200-1-1-11−3i321+3i32−i3i33-3−i3i3−3+i323+i323−i32−3−i32000000000000000000000000000000000000
χ7544-4-4444-2-444-222-4-4-4-404-2-2-2-20400-24-2-2-2-24-4-400-4-4222222222004-2-2-2-2000000000000-422220000000000000000000000000000000000000000000000
χ7644-4-444-2-2-44-2-222-4-4220-2-21110-2−2i32i3-2-2-21114-422i3−2i32222-1-1-1-1-1-1200-2-2111−2i32i300i3−i3i3i3−i3−i30022-1-1-12i3−2i300−i3i3−i3−i3i3i3000000000000000000000000000000000000
χ7744-4-444-2-2-44-2-222-4-4220-2-21110-22i3−2i3-2-2-21114-42−2i32i32222-1-1-1-1-1-1200-2-21112i3−2i300−i3i3−i3−i3i3i30022-1-1-1−2i32i300i3−i3i3i3−i3−i3000000000000000000000000000000000000
χ7844-4-44-244-4-244-4-422-4-40-2-24-2-204004-2-24-2-2-22-4002222-4-42222-400-2-24-2-200000000000022-4220000000000000000000000000000000000000000000000
χ7944-4-44-24-2-4-24-22222-4-40-21-2110400-2-21-211-22-40022-1-122-1-1-1-1200-21-211003-3003-3-33002-12-1-100-3300-333-3000000000000000000000000000000000000
χ8044-4-44-24-2-4-24-22222-4-40-21-2110400-2-21-211-22-40022-1-122-1-1-1-1200-21-21100-3300-333-3002-12-1-1003-3003-3-33000000000000000000000000000000000000
χ8144-4-44-2-24-4-2-24-4-4222201-2-2110-2−2i32i341-2-211-2222i3−2i3-1-12222-1-1-1-1-4001-2-211i3−i300−2i32i3i3i3−i3−i300-122-1-1−i3i3002i3−2i3−i3−i3i3i3000000000000000000000000000000000000
χ8244-4-44-2-24-4-2-24-4-4222201-2-2110-22i3−2i341-2-211-222−2i32i3-1-12222-1-1-1-1-4001-2-211−i3i3002i3−2i3−i3−i3i3i300-122-1-1i3−i300−2i32i3i3i3−i3−i3000000000000000000000000000000000000
χ8344-4-44-2-2-2-4-2-2-22222220111−1−3i32−1+3i320-2−2i32i3-2111−1−3i32−1+3i32-2222i3−2i3-1-1-1-1-1-11+3i321+3i321−3i321−3i32200111−1−3i32−1+3i32i3−i33-3i3−i3−3−i323−i323+i32−3+i3200-1-1-11+3i321−3i32−i3i3-33−i3i33+i32−3+i32−3−i323−i32000000000000000000000000000000000000
χ8444-4-44-2-2-2-4-2-2-22222220111−1−3i32−1+3i320-22i3−2i3-2111−1−3i32−1+3i32-222−2i32i3-1-1-1-1-1-11+3i321+3i321−3i321−3i32200111−1−3i32−1+3i32−i3i3-33−i3i33+i32−3+i32−3−i323−i3200-1-1-11+3i321−3i32i3−i33-3i3−i3−3−i323−i323+i32−3+i32000000000000000000000000000000000000
χ8544-4-44-2-2-2-4-2-2-22222220111−1+3i32−1−3i320-2−2i32i3-2111−1+3i32−1−3i32-2222i3−2i3-1-1-1-1-1-11−3i321−3i321+3i321+3i32200111−1+3i32−1−3i32i3−i3-33i3−i33−i32−3−i32−3+i323+i3200-1-1-11−3i321+3i32−i3i33-3−i3i3−3+i323+i323−i32−3−i32000000000000000000000000000000000000
χ8644-4-44-2-2-2-4-2-2-22222220111−1+3i32−1−3i320-22i3−2i3-2111−1+3i32−1−3i32-222−2i32i3-1-1-1-1-1-11−3i321−3i321+3i321+3i32200111−1+3i32−1−3i32−i3i33-3−i3i3−3+i323+i323−i32−3−i3200-1-1-11−3i321+3i32i3−i3-33i3−i33−i32−3−i32−3+i323+i32000000000000000000000000000000000000
χ8744-4-4-44-2-244-2-222-4-4224-2-2111-42-2-22-2-2111-44-2222222-1-1-1-1-1-1-24-222-1-1-1-2-2-2-2111111-42-2-21112222-1-1-1-1-1-1000000000000000000000000000000000000
χ8844-4-4-44-2-244-2-222-4-422-4-2-211142222-2-2111-44-2-2-22222-1-1-1-1-1-1-2-4222-1-1-12222-1-1-1-1-1-14-2-2-2111-2-2-2-2111111000000000000000000000000000000000000
χ8944-4-4-4-24-24-24-22222-4-44-21-211-4-4442-21-2112-24-4-422-1-122-1-1-1-1-2-2-22-12-1-1-2-211-2-2111122-21-21122-1-122-1-1-1-1000000000000000000000000000000000000
χ9044-4-4-4-24-24-24-22222-4-4-4-21-2114-4-4-42-21-2112-244422-1-122-1-1-1-1-2222-12-1-122-1-122-1-1-1-1-2-2-21-211-2-211-2-21111000000000000000000000000000000000000
χ9144-4-4-4-2-244-2-24-4-4222241-2-211-42-2-2-41-2-2112-2-222-1-12222-1-1-1-14-24-122-1-111-2-2-2-211112-41-2-211-1-12222-1-1-1-1000000000000000000000000000000000000
χ9244-4-4-4-2-244-2-24-4-42222-41-2-2114222-41-2-2112-2-2-2-2-1-12222-1-1-1-142-4-122-1-1-1-12222-1-1-1-1-241-2-21111-2-2-2-21111000000000000000000000000000000000000
χ9344-4-4-4-2-2-24-2-2-22222224111−1−3i32−1+3i32-42-2-22111−1−3i32−1+3i322-2-222-1-1-1-1-1-11+3i321+3i321−3i321−3i32-2-2-2-1-1-11+3i321−3i32111111−1−3i32−1+3i32−1−3i32−1+3i3222111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000000000000000
χ9444-4-4-4-2-2-24-2-2-22222224111−1+3i32−1−3i32-42-2-22111−1+3i32−1−3i322-2-222-1-1-1-1-1-11−3i321−3i321+3i321+3i32-2-2-2-1-1-11−3i321+3i32111111−1+3i32−1−3i32−1+3i32−1−3i3222111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32000000000000000000000000000000000000
χ9544-4-4-4-2-2-24-2-2-2222222-4111−1−3i32−1+3i3242222111−1−3i32−1+3i322-2-2-2-2-1-1-1-1-1-11+3i321+3i321−3i321−3i32-222-1-1-11+3i321−3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32-2-2111−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000000000000
χ9644-4-4-4-2-2-24-2-2-2222222-4111−1+3i32−1−3i3242222111−1+3i32−1−3i322-2-2-2-2-1-1-1-1-1-11−3i321−3i321+3i321+3i32-222-1-1-11−3i321+3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32-2-2111−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000000000000
χ974-44i−4i04440-4-4-44i−4i4i−4i4i−4i04444400000-4-4-4-4-4000004i−4i4i−4i4i−4i4i−4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000000
χ984-44i−4i044-20-4-42−2i2i4i−4i4i−4i04-2-2-2-200000-42222000004i−4i−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000000000000000000000000000000i6−i66−60000
χ994-44i−4i044-20-4-42−2i2i4i−4i4i−4i04-2-2-2-200000-42222000004i−4i−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000000000000000000000000000000−i6i6−660000
χ1004-44i−4i04-240-42-44i−4i4i−4i−2i2i0-24-2-2-2000002-422200000−2i2i4i−4i−2i2i−2i2i−2i2i000000000000000000000000000000000000000−2ζ7+2ζ232ζ7−2ζ232ζ5−2ζ13−2ζ5+2ζ130000000000000000000000000000
χ1014-44i−4i04-240-42-44i−4i4i−4i−2i2i0-24-2-2-2000002-422200000−2i2i4i−4i−2i2i−2i2i−2i2i0000000000000000000000000000000000000002ζ7−2ζ23−2ζ7+2ζ23−2ζ5+2ζ132ζ5−2ζ130000000000000000000000000000
χ1024-44i−4i0-24402-4-44i−4i−2i2i4i−4i0-2-24-2-20000022-42200000−2i2i−2i2i4i−4i−2i2i−2i2i00000000000000000000000000000000000000000000000000000−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ2200000000000000
χ1034-44i−4i0-24402-4-44i−4i−2i2i4i−4i0-2-24-2-20000022-42200000−2i2i−2i2i4i−4i−2i2i−2i2i00000000000000000000000000000000000000000000000000000ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ2200000000000000
χ1044-4−4i4i04440-4-4-4−4i4i−4i4i−4i4i04444400000-4-4-4-4-400000−4i4i−4i4i−4i4i−4i4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000000
χ1054-4−4i4i044-20-4-422i−2i−4i4i−4i4i04-2-2-2-200000-4222200000−4i4i2i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000000000000000000000000i6−i6−660000
χ1064-4−4i4i044-20-4-422i−2i−4i4i−4i4i04-2-2-2-200000-4222200000−4i4i2i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000000000000000000000000−i6i66−60000
χ1074-4−4i4i04-240-42-4−4i4i−4i4i2i−2i0-24-2-2-2000002-4222000002i−2i−4i4i2i−2i2i−2i2i−2i0000000000000000000000000000000000000002ζ5−2ζ13−2ζ5+2ζ13−2ζ7+2ζ232ζ7−2ζ230000000000000000000000000000
χ1084-4−4i4i04-240-42-4−4i4i−4i4i2i−2i0-24-2-2-2000002-4222000002i−2i−4i4i2i−2i2i−2i2i−2i000000000000000000000000000000000000000−2ζ5+2ζ132ζ5−2ζ132ζ7−2ζ23−2ζ7+2ζ230000000000000000000000000000
χ1094-4−4i4i0-24402-4-4−4i4i2i−2i−4i4i0-2-24-2-20000022-422000002i−2i2i−2i−4i4i2i−2i2i−2i00000000000000000000000000000000000000000000000000000−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ2200000000000000
χ1104-4−4i4i0-24402-4-4−4i4i2i−2i−4i4i0-2-24-2-20000022-422000002i−2i2i−2i−4i4i2i−2i2i−2i00000000000000000000000000000000000000000000000000000ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ2200000000000000
χ1118-88i−8i08-4-40-844−4i4i8i−8i−4i4i0-4-42220000044-2-2-200000−4i4i−4i4i2i−2i2i−2i2i−2i00000000000000000000000000000000000000000000000000000000000000000000000
χ1128-88i−8i0-48-404-84−4i4i−4i4i8i−8i0-42-422000004-24-2-200000−4i4i2i−2i−4i4i2i−2i2i−2i00000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88i−8i0-4-48044-88i−8i−4i4i−4i4i02-4-42200000-244-2-2000002i−2i−4i4i−4i4i2i−2i2i−2i00000000000000000000000000000000000000000000000000000000000000000000000
χ1148-88i−8i0-4-4-40444−4i4i−4i4i−4i4i0222−1−3i3−1+3i300000-2-2-21+3i31−3i3000002i−2i2i−2i2i−2i−2ζ14+4ζ222ζ14−4ζ224ζ14−2ζ22−4ζ14+2ζ2200000000000000000000000000000000000000000000000000000000000000000000000
χ1158-88i−8i0-4-4-40444−4i4i−4i4i−4i4i0222−1+3i3−1−3i300000-2-2-21−3i31+3i3000002i−2i2i−2i2i−2i4ζ14−2ζ22−4ζ14+2ζ22−2ζ14+4ζ222ζ14−4ζ2200000000000000000000000000000000000000000000000000000000000000000000000
χ1168-8−8i8i08-4-40-8444i−4i−8i8i4i−4i0-4-42220000044-2-2-2000004i−4i4i−4i−2i2i−2i2i−2i2i00000000000000000000000000000000000000000000000000000000000000000000000
χ1178-8−8i8i0-48-404-844i−4i4i−4i−8i8i0-42-422000004-24-2-2000004i−4i−2i2i4i−4i−2i2i−2i2i00000000000000000000000000000000000000000000000000000000000000000000000
χ1188-8−8i8i0-4-48044-8−8i8i4i−4i4i−4i02-4-42200000-244-2-200000−2i2i4i−4i4i−4i−2i2i−2i2i00000000000000000000000000000000000000000000000000000000000000000000000
χ1198-8−8i8i0-4-4-404444i−4i4i−4i4i−4i0222−1−3i3−1+3i300000-2-2-21+3i31−3i300000−2i2i−2i2i−2i2i2ζ14−4ζ22−2ζ14+4ζ22−4ζ14+2ζ224ζ14−2ζ2200000000000000000000000000000000000000000000000000000000000000000000000
χ1208-8−8i8i0-4-4-404444i−4i4i−4i4i−4i0222−1+3i3−1−3i300000-2-2-21−3i31+3i300000−2i2i−2i2i−2i2i−4ζ14+2ζ224ζ14−2ζ222ζ14−4ζ22−2ζ14+4ζ2200000000000000000000000000000000000000000000000000000000000000000000000

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