Finite Group Databasebeta

← Group #13155747

Character table — Group #13155747

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222224444444444444444444444888888888888121212121212121212121212121212121212121212121212121212121212181818181818181824242424242424242424242436363636363672727272108108
order124423334666121212121212333666666661212121212121212121212366666121212121212246688881212242424242424242424242424242424242424242488882424242466612121224242424242424882424612242444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111
χ51111111111111111111111111111111111111111111111111111-1-1-1-11111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1
χ61111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111
χ71111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ81111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ911-1-1-11111111-1-1-1-1-1-1111-1-1-1-1-11111-1-1-1-11111-1-11-1-1-1-111111-1-11-111i−i1-1-1-1ii−i−i11111111-1-1-1-1-1-1-1-1ii−i−iii−i−i111-1-1-1i−iii−i−i1-1i−ii−i1-1i−ii−i
χ1011-1-1-11111111-1-1-1-1-1-1111-1-1-1-1-11111-1-1-1-11111-1-11-1-1-1-111111-1-11-111i−i-11-1-1ii−i−i-1-1-1-1-1-1-1-111111111ii−i−iii−i−i111-1-1-1i−iii−i−i-11−iii−i-11−ii−ii
χ1111-1-1-11111111-1-1-1-1-1-1111-1-1-1-1-11111-1-1-1-11111-1-11-1-1-1-111111-1-11-111−ii1-1-1-1−i−iii11111111-1-1-1-1-1-1-1-1−i−iii−i−iii111-1-1-1−ii−i−iii1-1−ii−ii1-1−ii−ii
χ1211-1-1-11111111-1-1-1-1-1-1111-1-1-1-1-11111-1-1-1-11111-1-11-1-1-1-111111-1-11-111−ii-11-1-1−i−iii-1-1-1-1-1-1-1-111111111−i−iii−i−iii111-1-1-1−ii−i−iii-11i−i−ii-11i−ii−i
χ1311-1-1-11111111-1-1-1-1-1-1111-1-1-1-1-11111-1-1-1-11111-1-11-1-1-1-111111-1-1-11-1-1i−i1-111ii−i−i11111111-1-1-1-1-1-1-1-1−i−iii−i−iii-1-1-1111i−iii−i−i-11i−i−ii-11i−i−ii
χ1411-1-1-11111111-1-1-1-1-1-1111-1-1-1-1-11111-1-1-1-11111-1-11-1-1-1-111111-1-1-11-1-1i−i-1111ii−i−i-1-1-1-1-1-1-1-111111111−i−iii−i−iii-1-1-1111i−iii−i−i1-1−ii−ii1-1−iii−i
χ1511-1-1-11111111-1-1-1-1-1-1111-1-1-1-1-11111-1-1-1-11111-1-11-1-1-1-111111-1-1-11-1-1−ii1-111−i−iii11111111-1-1-1-1-1-1-1-1ii−i−iii−i−i-1-1-1111−ii−i−iii-11−iii−i-11−iii−i
χ1611-1-1-11111111-1-1-1-1-1-1111-1-1-1-1-11111-1-1-1-11111-1-11-1-1-1-111111-1-1-11-1-1−ii-1111−i−iii-1-1-1-1-1-1-1-111111111ii−i−iii−i−i-1-1-1111−ii−i−iii1-1i−ii−i1-1i−i−ii
χ172222222-1222-1-1-122222-1-122-1-1-12-1-12-1-1-1-12-1-1-122-12-1-1-1-12-1-1-1-1-12222002222000022-1-1-1-1-1-122-1-1-1-1-1-100000000-1-1-1-1-1-1000000220000-1-10000
χ182222222-1222-1-1-122222-1-122-1-1-12-1-12-1-1-1-12-1-1-122-12-1-1-1-12-1-1-1-1-1222200-2-2220000-2-2111111-2-211111100000000-1-1-1-1-1-1000000-2-20000110000
χ192222222-1222-1-1-122222-1-122-1-1-12-1-12-1-1-1-12-1-1-122-12-1-1-1-12-1-1-1-1-1-2-2-2-20022-2-2000022-1-1-1-1-1-122-1-1-1-1-1-100000000111111000000-2-20000110000
χ202222222-1222-1-1-122222-1-122-1-1-12-1-12-1-1-1-12-1-1-122-12-1-1-1-12-1-1-1-1-1-2-2-2-200-2-2-2-20000-2-2111111-2-211111100000000111111000000220000-1-10000
χ21222222-1222-122222-1-1-12-12-1222-12-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-12200-1-1-1-1-1-100000000000000002222-1-1-1-12-1-12-1-122-1-1-1-10000-1-1000000
χ22222222-1222-122222-1-1-12-12-1222-12-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-2-200-1-111110000000000000000-2-2-2-211112-1-12-1-1-2-21111000011000000
χ23222222-1222-122222-1-1-12-12-1222-12-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211220011-1-1-1-10000000000000000-2-2-2-21111-211-21122-1-1-1-1000011000000
χ24222222-1222-122222-1-1-12-12-1222-12-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211-2-20011111100000000000000002222-1-1-1-1-211-211-2-211110000-1-1000000
χ2522222-1222-12222-1-122-1-12-122-1-1-1-122-1-122-12-1-1-1-1-1-12-1-1-1-12-1-1-1-100002222002222-1-122-1-1-1-1-1-122-1-1-1-100000000000000-1-1-1-1-1-100220000-1-100
χ2622222-1222-12222-1-122-1-12-122-1-1-1-122-1-122-12-1-1-1-1-1-12-1-1-1-12-1-1-1-1000022-2-200222211-2-2111111-2-2111100000000000000-1-1-1-1-1-100-2-200001100
χ2722222-1222-12222-1-122-1-12-122-1-1-1-122-1-122-12-1-1-1-1-1-12-1-1-1-12-1-1-1-10000-2-22200-2-2-2-2-1-122-1-1-1-1-1-122-1-1-1-10000000000000011111100-2-200001100
χ2822222-1222-12222-1-122-1-12-122-1-1-1-122-1-122-12-1-1-1-1-1-12-1-1-1-12-1-1-1-10000-2-2-2-200-2-2-2-211-2-2111111-2-211110000000000000011111100220000-1-100
χ292222-2222-2222222222222-2-2-2-2-2222-22222-2-2-2-2222-2-2-2-22-2-2-2-2220000000000000000000000000000002-22-222220000000000000000-2-2000000
χ302222-2222-2222222222222-2-2-2-2-2222-22222-2-2-2-2222-2-2-2-22-2-2-2-222000000000000000000000000000000-22-22-2-2-2-2000000000000000022000000
χ312222-22-12-22-122222-1-1-12-1-21-2-2-2-12-1122-1-1-2-2-2-2-1-1-11111-11111-1-100−i3i30000−i3i3−i3i3−i3i300000000000000002-22-2-1-1-1-10−i3i30−i3i300−i3i3−i3i3000011000000
χ322222-22-12-22-122222-1-1-12-1-21-2-2-2-12-1122-1-1-2-2-2-2-1-1-11111-11111-1-100−i3i30000−i3i3i3−i3i3−i30000000000000000-22-2211110−i3i30−i3i300i3−i3i3−i30000-1-1000000
χ332222-22-12-22-122222-1-1-12-1-21-2-2-2-12-1122-1-1-2-2-2-2-1-1-11111-11111-1-100i3−i30000i3−i3−i3i3−i3i30000000000000000-22-2211110i3−i30i3−i300−i3i3−i3i30000-1-1000000
χ342222-22-12-22-122222-1-1-12-1-21-2-2-2-12-1122-1-1-2-2-2-2-1-1-11111-11111-1-100i3−i30000i3−i3i3−i3i3−i300000000000000002-22-2-1-1-1-10i3−i30i3−i300i3−i3i3−i3000011000000
χ3522-2-22222-2222-2-2-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-20000000000000000000000000000002i−2i−2i2i2i2i−2i−2i0000000000000000−2i2i000000
χ3622-2-22222-2222-2-2-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2000000000000000000000000000000−2i2i2i−2i−2i−2i2i2i00000000000000002i−2i000000
χ3722-2-222-12-22-12-2-2-2-211-12-12-1222-12-11-2-211-2-2-2-211-1-1-1-1-1-111111100−i3i30000i3−i33−3−3300000000000000002i−2i−2i2i−i−iii0−i3i30i3−i3003−3−330000i−i000000
χ3822-2-222-12-22-12-2-2-2-211-12-12-1222-12-11-2-211-2-2-2-211-1-1-1-1-1-111111100−i3i30000i3−i3−333−30000000000000000−2i2i2i−2iii−i−i0−i3i30i3−i300−333−30000−ii000000
χ3922-2-222-12-22-12-2-2-2-211-12-12-1222-12-11-2-211-2-2-2-211-1-1-1-1-1-111111100i3−i30000−i3i33−3−330000000000000000−2i2i2i−2iii−i−i0i3−i30−i3i3003−3−330000−ii000000
χ4022-2-222-12-22-12-2-2-2-211-12-12-1222-12-11-2-211-2-2-2-211-1-1-1-1-1-111111100i3−i30000−i3i3−333−300000000000000002i−2i−2i2i−i−iii0i3−i30−i3i300−333−30000i−i000000
χ4122-2-2-222-1222-111-2-2-2-22-1-1-2-21112-1-1211112-1-1-1-2-2-1-2111-12-1-1-1112-222002-2-2-2000022-1-1-1-1-1-1-2-211111100000000-1-1-11110000002-20000-110000
χ4222-2-2-222-1222-111-2-2-2-22-1-1-2-21112-1-1211112-1-1-1-2-2-1-2111-12-1-1-1112-22200-22-2-20000-2-211111122-1-1-1-1-1-100000000-1-1-1111000000-2200001-10000
χ4322-2-2-222-1222-111-2-2-2-22-1-1-2-21112-1-1211112-1-1-1-2-2-1-2111-12-1-1-111-22-2-2002-222000022-1-1-1-1-1-1-2-211111100000000111-1-1-1000000-2200001-10000
χ4422-2-2-222-1222-111-2-2-2-22-1-1-2-21112-1-1211112-1-1-1-2-2-1-2111-12-1-1-111-22-2-200-22220000-2-211111122-1-1-1-1-1-100000000111-1-1-10000002-20000-110000
χ4522-2-2-22-1222-12-2-2-2-211-12-1-21-2-2-2-12-1-1-2-211222211-11111-1-1-1-1-1112-2-1-12i−2i0011−i−iii00000000000000002i2i−2i−2i−i−iii2-1-1-2112i−2i−i−iii0000−ii000000
χ4622-2-2-22-1222-12-2-2-2-211-12-1-21-2-2-2-12-1-1-2-211222211-11111-1-1-1-1-1112-2-1-1−2i2i0011ii−i−i0000000000000000−2i−2i2i2iii−i−i2-1-1-211−2i2iii−i−i0000i−i000000
χ4722-2-2-22-1222-12-2-2-2-211-12-1-21-2-2-2-12-1-1-2-211222211-11111-1-1-1-1-111-22112i−2i00-1-1−i−iii0000000000000000−2i−2i2i2iii−i−i-2112-1-12i−2i−i−iii0000i−i000000
χ4822-2-2-22-1222-12-2-2-2-211-12-1-21-2-2-2-12-1-1-2-211222211-11111-1-1-1-1-111-2211−2i2i00-1-1ii−i−i00000000000000002i2i−2i−2i−i−iii-2112-1-1−2i2iii−i−i0000−ii000000
χ4922-2-2-2-1222-122-2-211-2-2-1-121-2-211-1-12211-2-2-12-1-111-11-211-1-12-1-11100002i−2i2-2002i2i−2i−2i-1-122-1-1-1-111-2-2111100000000000000−ii−i−iii002i−2i0000−ii00
χ5022-2-2-2-1222-122-2-211-2-2-1-121-2-211-1-12211-2-2-12-1-111-11-211-1-12-1-11100002i−2i-22002i2i−2i−2i11-2-21111-1-122-1-1-1-100000000000000−ii−i−iii00−2i2i0000i−i00
χ5122-2-2-2-1222-122-2-211-2-2-1-121-2-211-1-12211-2-2-12-1-111-11-211-1-12-1-1110000−2i2i2-200−2i−2i2i2i-1-122-1-1-1-111-2-2111100000000000000i−iii−i−i00−2i2i0000i−i00
χ5222-2-2-2-1222-122-2-211-2-2-1-121-2-211-1-12211-2-2-12-1-111-11-211-1-12-1-1110000−2i2i-2200−2i−2i2i2i11-2-21111-1-122-1-1-1-100000000000000i−iii−i−i002i−2i0000−ii00
χ53444444-2-244-2-2-2-244-2-2-2-214-2-2-2-2-2-21-2-2-2114-2-2-2-2-21-21111-21111144-2-20000-2-20000000000000000000000000000-211-211000000000000000000
χ54444444-2-244-2-2-2-244-2-2-2-214-2-2-2-2-2-21-2-2-2114-2-2-2-2-21-21111-211111-4-42200002200000000000000000000000000002-1-12-1-1000000000000000000
χ5544444-24-24-24-2-2-2-2-244-21-2-24-211-21-2411-2-2-2-211-2-21-2-2111-2-2111100000044000000-2-2-2-21111-2-2-2-2111100000000000000000000000000000000
χ5644444-24-24-24-2-2-2-2-244-21-2-24-211-21-2411-2-2-2-211-2-21-2-2111-2-21111000000-4-40000002222-1-1-1-12222-1-1-1-100000000000000000000000000000000
χ5744444-2-244-2-2444-2-2-2-21-2-2-2-24-2-21-2-2-2-2-2-2-2-24-2-21111-21111-211110000440000-2-2-2-2000000000000000000000000000000-2-21111000000000000
χ5844444-2-244-2-2444-2-2-2-21-2-2-2-24-2-21-2-2-2-2-2-2-2-24-2-21111-21111-211110000-4-40000222200000000000000000000000000000022-1-1-1-1000000000000
χ594444-444-2-444-2-2-244444-2-2-4-42224-2-2-4-2-2-2-2-422244-2-4222-2-4222-2-200000000000000000000000000000000000000000000000000000000000000
χ604444-44-2-2-44-2-2-2-244-2-2-2-21-42222-2-212-2-211-4222-2-212-1-1-112-1-1-11100−2i32i30000−2i32i300000000000000000000000000000i3−i30i3−i3000000000000000000
χ614444-44-2-2-44-2-2-2-244-2-2-2-21-42222-2-212-2-211-4222-2-212-1-1-112-1-1-111002i3−2i300002i3−2i300000000000000000000000000000−i3i30−i3i3000000000000000000
χ624444-4-244-4-24444-2-244-2-242-4-422-2-24-4-2-2442-422-2-2-22-422-22-422-2-200000000000000000000000000000000000000000000000000000000000000
χ634444-4-24-2-4-24-2-2-2-2-244-21-22-42-1-1-21-2-411-2-222-1-1-2-2122-1-1122-1-1110000000000000000003i3i−3i−3i00003i3i−3i−3i00000000000000000000000000000000
χ644444-4-24-2-4-24-2-2-2-2-244-21-22-42-1-1-21-2-411-2-222-1-1-2-2122-1-1122-1-111000000000000000000−3i−3i3i3i0000−3i−3i3i3i00000000000000000000000000000000
χ654444-4-2-24-4-2-2444-2-2-2-21-2-222-4221-2-22-2-2-2-22-422111-12-1-11-12-1-1110000000000−2i32i3−2i32i300000000000000000000000000000000i3−i3i3−i3000000000000
χ664444-4-2-24-4-2-2444-2-2-2-21-2-222-4221-2-22-2-2-2-22-422111-12-1-11-12-1-11100000000002i3−2i32i3−2i300000000000000000000000000000000−i3i3−i3i3000000000000
χ6744-4-4444-2-444-222-4-4-4-44-2-244-2-2-24-2-2-42222-4222-4-4-24-2-2-2-2-42222200000000000000000000000000000000000000000000000000000000000000
χ6844-4-444-2-2-44-2-222-4-422-2-214-2-2-2-2-2-21222-1-1-4222221-211112-1-1-1-1-100−2i32i300002i3−2i300000000000000000000000000000i3−i30−i3i3000000000000000000
χ6944-4-444-2-2-44-2-222-4-422-2-214-2-2-2-2-2-21222-1-1-4222221-211112-1-1-1-1-1002i3−2i30000−2i32i300000000000000000000000000000−i3i30i3−i3000000000000000000
χ7044-4-44-244-4-244-4-422-4-4-2-24-244-2-2-2-24-422-4-42-42222-2-24-2-2-22-4222200000000000000000000000000000000000000000000000000000000000000
χ7144-4-44-24-2-4-24-22222-4-4-21-2-24-211-21-2-4-1-12222-1-1221-2-211122-1-1-1-10000000000000000003i3i−3i−3i0000−3i−3i3i3i00000000000000000000000000000000
χ7244-4-44-24-2-4-24-22222-4-4-21-2-24-211-21-2-4-1-12222-1-1221-2-211122-1-1-1-1000000000000000000−3i−3i3i3i00003i3i−3i−3i00000000000000000000000000000000
χ7344-4-44-2-24-4-2-24-4-422221-2-2-2-24-2-21-2-2222222-422-1-111-2111-12-1-1-1-1000000000023−23−232300000000000000000000000000000000−333−3000000000000
χ7444-4-44-2-24-4-2-24-4-422221-2-2-2-24-2-21-2-2222222-422-1-111-2111-12-1-1-1-10000000000−232323−23000000000000000000000000000000003−3−33000000000000
χ7544-4-4-44-2-244-2-222-4-422-2-21-42222-2-21-222-1-14-2-2-22212-1-1-11-2111-1-14-4-2-20000220000000000000000000000000000-2112-1-1000000000000000000
χ7644-4-4-44-2-244-2-222-4-422-2-21-42222-2-21-222-1-14-2-2-22212-1-1-11-2111-1-1-44220000-2-200000000000000000000000000002-1-1-211000000000000000000
χ7744-4-4-4-24-24-24-22222-4-4-21-22-42-1-1-21-24-1-122-2-21122122-1-11-2-211-1-10000004-4000000-2-2-2-211112222-1-1-1-100000000000000000000000000000000
χ7844-4-4-4-24-24-24-22222-4-4-21-22-42-1-1-21-24-1-122-2-21122122-1-11-2-211-1-1000000-440000002222-1-1-1-1-2-2-2-2111100000000000000000000000000000000
χ7944-4-4-4-2-244-2-24-4-422221-2-222-4221-2-2-22222-24-2-2-1-11-12-1-111-211-1-100004i−4i0000−2i−2i2i2i000000000000000000000000000000−2i2iii−i−i000000000000
χ8044-4-4-4-2-244-2-24-4-422221-2-222-4221-2-2-22222-24-2-2-1-11-12-1-111-211-1-10000−4i4i00002i2i−2i−2i0000000000000000000000000000002i−2i−i−iii000000000000
χ814-44i−4i04440-4-4-44i−4i4i−4i4i−4i44400000-4-4-404i−4i4i−4i00004i−4i40000-400004i−4i00000000000000000000000000000000000000000000000000000000000000
χ824-44i−4i044-20-4-42−2i2i4i−4i4i−4i4-2-200000-4220−2i2i−2i2i00004i−4i-2000020000−2i2i0000000000000000i6−i6i6−i6i6−i6006−66−66−600000000000000000000000000000000
χ834-44i−4i044-20-4-42−2i2i4i−4i4i−4i4-2-200000-4220−2i2i−2i2i00004i−4i-2000020000−2i2i0000000000000000−i6i6−i6i6−i6i600−66−66−6600000000000000000000000000000000
χ844-44i−4i04-240-42-44i−4i4i−4i−2i2i-24-2000002-4204i−4i−2i2i0000−2i2i-2000020000−2i2i0000000000000000000000000000000000−2ζ7+2ζ232ζ7−2ζ232ζ5−2ζ13−2ζ5+2ζ13000000000000000000000000
χ854-44i−4i04-240-42-44i−4i4i−4i−2i2i-24-2000002-4204i−4i−2i2i0000−2i2i-2000020000−2i2i00000000000000000000000000000000002ζ7−2ζ23−2ζ7+2ζ23−2ζ5+2ζ132ζ5−2ζ13000000000000000000000000
χ864-44i−4i0-24402-4-44i−4i−2i2i4i−4i-2-240000022-40−2i2i4i−4i0000−2i2i-2000020000−2i2i000000000000006−6006−6−66i6−i600−i6i6i6−i600000000000000000000000000000000
χ874-44i−4i0-24402-4-44i−4i−2i2i4i−4i-2-240000022-40−2i2i4i−4i0000−2i2i-2000020000−2i2i00000000000000−6600−666−6−i6i600i6−i6−i6i600000000000000000000000000000000
χ884-44i−4i0-24-202-42−2i2i−2i2i4i−4i-21-20003-32-120i−i−2i2i003i−3i−2i2i1003-3-1003i−3ii−i000000000000006−6i6−i6−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23i6−i66−6ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300000000000000000000000000000000
χ894-44i−4i0-24-202-42−2i2i−2i2i4i−4i-21-20003-32-120i−i−2i2i003i−3i−2i2i1003-3-1003i−3ii−i00000000000000−66−i6i6ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−i6i6−66−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300000000000000000000000000000000
χ904-44i−4i0-24-202-42−2i2i−2i2i4i−4i-21-2000-332-120i−i−2i2i00−3i3i−2i2i100-33-100−3i3ii−i000000000000006−6−i6i6ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13i6−i6−66ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300000000000000000000000000000000
χ914-44i−4i0-24-202-42−2i2i−2i2i4i−4i-21-2000-332-120i−i−2i2i00−3i3i−2i2i100-33-100−3i3ii−i00000000000000−66i6−i6−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13−i6i66−6−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300000000000000000000000000000000
χ924-4−4i4i04440-4-4-4−4i4i−4i4i−4i4i44400000-4-4-40−4i4i−4i4i0000−4i4i40000-40000−4i4i00000000000000000000000000000000000000000000000000000000000000
χ934-4−4i4i044-20-4-422i−2i−4i4i−4i4i4-2-200000-42202i−2i2i−2i0000−4i4i-20000200002i−2i0000000000000000i6−i6i6−i6i6−i600−66−66−6600000000000000000000000000000000
χ944-4−4i4i044-20-4-422i−2i−4i4i−4i4i4-2-200000-42202i−2i2i−2i0000−4i4i-20000200002i−2i0000000000000000−i6i6−i6i6−i6i6006−66−66−600000000000000000000000000000000
χ954-4−4i4i04-240-42-4−4i4i−4i4i2i−2i-24-2000002-420−4i4i2i−2i00002i−2i-20000200002i−2i00000000000000000000000000000000002ζ5−2ζ13−2ζ5+2ζ13−2ζ7+2ζ232ζ7−2ζ23000000000000000000000000
χ964-4−4i4i04-240-42-4−4i4i−4i4i2i−2i-24-2000002-420−4i4i2i−2i00002i−2i-20000200002i−2i0000000000000000000000000000000000−2ζ5+2ζ132ζ5−2ζ132ζ7−2ζ23−2ζ7+2ζ23000000000000000000000000
χ974-4−4i4i0-24402-4-4−4i4i2i−2i−4i4i-2-240000022-402i−2i−4i4i00002i−2i-20000200002i−2i000000000000006−6006−6−66−i6i600i6−i6−i6i600000000000000000000000000000000
χ984-4−4i4i0-24402-4-4−4i4i2i−2i−4i4i-2-240000022-402i−2i−4i4i00002i−2i-20000200002i−2i00000000000000−6600−666−6i6−i600−i6i6i6−i600000000000000000000000000000000
χ994-4−4i4i0-24-202-422i−2i2i−2i−4i4i-21-20003-32-120−ii2i−2i00−3i3i2i−2i1003-3-100−3i3i−ii000000000000006−6−i6i6ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−i6i66−6−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300000000000000000000000000000000
χ1004-4−4i4i0-24-202-422i−2i2i−2i−4i4i-21-20003-32-120−ii2i−2i00−3i3i2i−2i1003-3-100−3i3i−ii00000000000000−66i6−i6−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13i6−i6−66ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300000000000000000000000000000000
χ1014-4−4i4i0-24-202-422i−2i2i−2i−4i4i-21-2000-332-120−ii2i−2i003i−3i2i−2i100-33-1003i−3i−ii000000000000006−6i6−i6−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23−i6i6−66−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300000000000000000000000000000000
χ1024-4−4i4i0-24-202-422i−2i2i−2i−4i4i-21-2000-332-120−ii2i−2i003i−3i2i−2i100-33-1003i−3i−ii00000000000000−66−i6i6ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23i6−i66−6ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300000000000000000000000000000000
χ10388888-4-4-48-4-4-4-4-4-4-4-4-4222-4-4-422222-42222-4-42222-122-1-1-122-1-1-1-100000000000000000000000000000000000000000000000000000000000000
χ1048888-8-4-4-4-8-4-4-4-4-4-4-4-4-4222444-2-22224222244-2-222-1-2-211-1-2-211-1-100000000000000000000000000000000000000000000000000000000000000
χ10588-8-88-4-4-4-8-4-4-4444444222-4-4-4222224-2-2-2-244-2-2-2-2-122-1-1-1-2-2111100000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-8-4-4-48-4-4-4444444222444-2-2222-4-2-2-2-2-4-422-2-2-1-2-211-122-1-11100000000000000000000000000000000000000000000000000000000000000
χ1078-88i−8i08-4-40-844−4i4i8i−8i−4i4i-4-420000044-20−4i4i2i−2i0000−4i4i20000-200002i−2i00000000000000000000000000000000000000000000000000000000000000
χ1088-88i−8i0-4-48044-88i−8i−4i4i−4i4i2-4-400000-2440−4i4i−4i4i00002i−2i20000-200002i−2i00000000000000000000000000000000000000000000000000000000000000
χ1098-88i−8i0-4-4-40444−4i4i−4i4i−4i4i2220006-6-2-2-202i−2i2i−2i006i−6i2i−2i-100-33100−3i3i−ii00000000000000000000000000000000000000000000000000000000000000
χ1108-88i−8i0-4-4-40444−4i4i−4i4i−4i4i222000-66-2-2-202i−2i2i−2i00−6i6i2i−2i-1003-31003i−3i−ii00000000000000000000000000000000000000000000000000000000000000
χ1118-8−8i8i08-4-40-8444i−4i−8i8i4i−4i-4-420000044-204i−4i−2i2i00004i−4i20000-20000−2i2i00000000000000000000000000000000000000000000000000000000000000
χ1128-8−8i8i0-4-48044-8−8i8i4i−4i4i−4i2-4-400000-24404i−4i4i−4i0000−2i2i20000-20000−2i2i00000000000000000000000000000000000000000000000000000000000000
χ1138-8−8i8i0-4-4-404444i−4i4i−4i4i−4i2220006-6-2-2-20−2i2i−2i2i00−6i6i−2i2i-100-331003i−3ii−i00000000000000000000000000000000000000000000000000000000000000
χ1148-8−8i8i0-4-4-404444i−4i4i−4i4i−4i222000-66-2-2-20−2i2i−2i2i006i−6i−2i2i-1003-3100−3i3ii−i00000000000000000000000000000000000000000000000000000000000000

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