Finite Group Databasebeta

← Group #13155432

Character table — Group #13155432

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222224444444444444444444444888888888888121212121212121212121212121212121212121212121212121212121212181818181818181824242424242424242424242436363636363672727272108108
order12442333466612121212121233366666666121212121212121212121236666612121212121222444466661212121212121212121212121212121212121212224466121266666612121212121268888122424242444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-11-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111-11-11111-1-111-1-11111111111111111-1-1-1-1-1-1-1-11-111-1-11-111-1-1-111-1-1-111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111-11-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11-111-1-1-1-1-111-1-1-11111
χ51111111111111111111111111111111111111111111111111111-11-1111-1-111-1-1111111111111111111-1-1-1-1-1-1-1-1-11-1-111-11-1-111-1-1-111-1-1-111-1-1
χ61111111111111111111111111111111111111111111111111111-11-11-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-11-1-111-111-1-1-111-1-111
χ71111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-111
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
χ911-1-1-11111111-1-1-1-1-1-1111-11-1-1-1-11111111-1-1-1-1-1-11-1-1-1-111111-1-111-1-1i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-11-111-1-1111111-1-1-1-1-1-1-1i−ii−i1i−ii−ii−i
χ1011-1-1-11111111-1-1-1-1-1-1111-11-1-1-1-11111111-1-1-1-1-1-11-1-1-1-111111-1-111-1-1−ii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-11-111-1-1111111-1-1-1-1-1-1-1−ii−ii1−ii−ii−ii
χ1111-1-1-11111111-1-1-1-1-1-1111-11-1-1-1-11111111-1-1-1-1-1-11-1-1-1-111111-1-11-1-11i−i11-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−i-11-11-1-1111-111-1-1-11-1-1111i−i−ii-1i−i−ii−ii
χ1211-1-1-11111111-1-1-1-1-1-1111-11-1-1-1-11111111-1-1-1-1-1-11-1-1-1-111111-1-11-1-11−ii11-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiii-11-11-1-1111-111-1-1-11-1-1111−iii−i-1−iii−ii−i
χ1311-1-1-11111111-1-1-1-1-1-1111-11-1-1-1-11111111-1-1-1-1-1-11-1-1-1-111111-1-1-111-1i−i-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−i-11-11-1-111-11-1-1111-111-1-11−iii−i-1−iii−i−ii
χ1411-1-1-11111111-1-1-1-1-1-1111-11-1-1-1-11111111-1-1-1-1-1-11-1-1-1-111111-1-1-111-1−ii-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii-11-11-1-111-11-1-1111-111-1-11i−i−ii-1i−i−iii−i
χ1511-1-1-11111111-1-1-1-1-1-1111-11-1-1-1-11111111-1-1-1-1-1-11-1-1-1-111111-1-1-1-111i−i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i1-11-111-1-1-1-1-1-1-1-1111111-1−ii−ii1−ii−iii−i
χ1611-1-1-11111111-1-1-1-1-1-1111-11-1-1-1-11111111-1-1-1-1-1-11-1-1-1-111111-1-1-1-111−ii-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii1-11-111-1-1-1-1-1-1-1-1111111-1i−ii−i1i−ii−i−ii
χ172222222-1222-1-1-122222-1-1-122222-1-122-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200-1-1-1-1-1-1-1-100000000000000002222-1-1-1-122-1-1-1-122-1-1-1-1-10000-1000000
χ182222222-1222-1-1-122222-1-1-122222-1-122-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-22-200-1-111-1-1110000000000000000-2-2-2-211112-2-1-1112-2-1-111100001000000
χ192222222-1222-1-1-122222-1-1-122222-1-122-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-22-220011-1-111-1-10000000000000000-2-2-2-21111-2211-1-1-2211-1-1100001000000
χ202222222-1222-1-1-122222-1-1-122222-1-122-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2001111111100000000000000002222-1-1-1-1-2-21111-2-21111-10000-1000000
χ21222222-1222-122222-1-1-12-12-12-1-1-12-12-12-1-1-1-122-1-1-12-1-1-1-12-1-1-1-1-10202220022002222-1-1-1-1-1-122-1-1-1-1-1-1000000000-100-1-10-100-1-100022000-1-100
χ22222222-1222-122222-1-1-12-12-12-1-1-12-12-12-1-1-1-122-1-1-12-1-1-1-12-1-1-1-1-10202-2-200220022-2-2111111-2-2111111000000000-100-1-10-100-1-1000-2-20001100
χ23222222-1222-122222-1-1-12-12-12-1-1-12-12-12-1-1-1-122-1-1-12-1-1-1-12-1-1-1-1-10-20-22200-2-200-2-222-1-1-1-1-1-122-1-1-1-1-1-100000000010011010011000-2-20001100
χ24222222-1222-122222-1-1-12-12-12-1-1-12-12-12-1-1-1-122-1-1-12-1-1-1-12-1-1-1-1-10-20-2-2-200-2-200-2-2-2-2111111-2-21111110000000001001101001100022000-1-100
χ2522222-1222-12222-1-122-1-122-1-12-1-1-12-122-1-1-1-1-1-122-1-12-1-1-1-12-1-1-1-120202222002200-1-122-1-1-1-1-1-122-1-1-1-100000000-10-1-100-10-1-100022000-1-10000
χ2622222-1222-12222-1-122-1-122-1-12-1-1-12-122-1-1-1-1-1-122-1-12-1-1-1-12-1-1-1-12020-2-22200220011-2-2111111-2-2111100000000-10-1-100-10-1-1000-2-2000110000
χ2722222-1222-12222-1-122-1-122-1-12-1-1-12-122-1-1-1-1-1-122-1-12-1-1-1-12-1-1-1-1-20-2022-2-200-2-200-1-122-1-1-1-1-1-122-1-1-1-1000000001011001011000-2-2000110000
χ2822222-1222-12222-1-122-1-122-1-12-1-1-12-122-1-1-1-1-1-122-1-12-1-1-1-12-1-1-1-1-20-20-2-2-2-200-2-20011-2-2111111-2-2111100000000101100101100022000-1-10000
χ292222-2222-2222222222222-22-2-2-2-222-2-2-2-2-22222222-2-2-2-22-2-2-2-2220000000000000000000000000000002-2-222222000000000000-20000-2000000
χ302222-2222-2222222222222-22-2-2-2-222-2-2-2-2-22222222-2-2-2-22-2-2-2-222000000000000000000000000000000-222-2-2-2-2-2000000000000200002000000
χ312222-222-1-222-1-1-122222-1-112-2-2-2-2-1-1-2-21-2-222-1-1-1-1-11111-11111-1-1000000−i3i3−i3i3−i3i3−i3i300000000000000002-2-22-1-1-1-100−i3i3−i3i300−i3i3−i3i3100001000000
χ322222-222-1-222-1-1-122222-1-112-2-2-2-2-1-1-2-21-2-222-1-1-1-1-11111-11111-1-1000000−i3i3i3−i3−i3i3i3−i30000000000000000-222-2111100−i3i3i3−i300−i3i3i3−i3-10000-1000000
χ332222-222-1-222-1-1-122222-1-112-2-2-2-2-1-1-2-21-2-222-1-1-1-1-11111-11111-1-1000000i3−i3−i3i3i3−i3−i3i30000000000000000-222-2111100i3−i3−i3i300i3−i3−i3i3-10000-1000000
χ342222-222-1-222-1-1-122222-1-112-2-2-2-2-1-1-2-21-2-222-1-1-1-1-11111-11111-1-1000000i3−i3i3−i3i3−i3i3−i300000000000000002-2-22-1-1-1-100i3−i3i3−i300i3−i3i3−i3100001000000
χ3522-2-22222-2222-2-2-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-200000000000000000000000000000022-2-222-2-200000000000020000-2000000
χ3622-2-22222-2222-2-2-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2000000000000000000000000000000-2-222-2-222000000000000-200002000000
χ3722-2-2222-1-222-111-2-2-2-22-1-1-122222-1-1-2-21-2-2-2-21111-1-1-1-1-1-1111111000000−i3i3−i3i3i3−i3i3−i3000000000000000022-2-2-1-11100−i3i3−i3i300i3−i3i3−i3-100001000000
χ3822-2-2222-1-222-111-2-2-2-22-1-1-122222-1-1-2-21-2-2-2-21111-1-1-1-1-1-1111111000000−i3i3i3−i3i3−i3−i3i30000000000000000-2-22211-1-100−i3i3i3−i300i3−i3−i3i310000-1000000
χ3922-2-2222-1-222-111-2-2-2-22-1-1-122222-1-1-2-21-2-2-2-21111-1-1-1-1-1-1111111000000i3−i3−i3i3−i3i3i3−i30000000000000000-2-22211-1-100i3−i3−i3i300−i3i3i3−i310000-1000000
χ4022-2-2222-1-222-111-2-2-2-22-1-1-122222-1-1-2-21-2-2-2-21111-1-1-1-1-1-1111111000000i3−i3i3−i3−i3i3−i3i3000000000000000022-2-2-1-11100i3−i3i3−i300−i3i3−i3i3-100001000000
χ4122-2-2-222-1222-111-2-2-2-22-1-112-2-2-2-2-1-122-122-2-21111-11111-1-1-1-1-11122-2-200-1-1-1-1111100000000000000002-22-2-1-11122-1-1-1-1-2-2111110000-1000000
χ4222-2-2-222-1222-111-2-2-2-22-1-112-2-2-2-2-1-122-122-2-21111-11111-1-1-1-1-1112-2-2200-1-11111-1-10000000000000000-22-2211-1-12-2-1-111-2211-1-1-100001000000
χ4322-2-2-222-1222-111-2-2-2-22-1-112-2-2-2-2-1-122-122-2-21111-11111-1-1-1-1-111-222-20011-1-1-1-1110000000000000000-22-2211-1-1-2211-1-12-2-1-111-100001000000
χ4422-2-2-222-1222-111-2-2-2-22-1-112-2-2-2-2-1-122-122-2-21111-11111-1-1-1-1-111-2-222001111-1-1-1-100000000000000002-22-2-1-111-2-2111122-1-1-1-110000-1000000
χ4522-2-2-22-1222-12-2-2-2-211-12-1-2-1-21112-12-12-1-111-2-211-1-2111-12-1-1-111020-22i−2i002200-2-22i2i−i−i−i−i−i−i−2i−2iiiiiii000000000-100-1-10100110002i−2i000−ii00
χ4622-2-2-22-1222-12-2-2-2-211-12-1-2-1-21112-12-12-1-111-2-211-1-2111-12-1-1-111020-2−2i2i002200-2-2−2i−2iiiiiii2i2i−i−i−i−i−i−i000000000-100-1-1010011000−2i2i000i−i00
χ4722-2-2-22-1222-12-2-2-2-211-12-1-2-1-21112-12-12-1-111-2-211-1-2111-12-1-1-1110-2022i−2i00-2-200222i2i−i−i−i−i−i−i−2i−2iiiiiii000000000100110-100-1-1000−2i2i000i−i00
χ4822-2-2-22-1222-12-2-2-2-211-12-1-2-1-21112-12-12-1-111-2-211-1-2111-12-1-1-1110-202−2i2i00-2-20022−2i−2iiiiiii2i2i−i−i−i−i−i−i000000000100110-100-1-10002i−2i000−ii00
χ4922-2-2-2-1222-122-2-211-2-2-1-12-2-11-211-12-122-1-11111-2-2-11-211-1-12-1-11120-202i−2i2200-2-200−i−i2i2i−i−i−i−iii−2i−2iiiii00000000-10-1-10010110002i−2i000−ii0000
χ5022-2-2-2-1222-122-2-211-2-2-1-12-2-11-211-12-122-1-11111-2-2-11-211-1-12-1-11120-20−2i2i2200-2-200ii−2i−2iiiii−i−i2i2i−i−i−i−i00000000-10-1-1001011000−2i2i000i−i0000
χ5122-2-2-2-1222-122-2-211-2-2-1-12-2-11-211-12-122-1-11111-2-2-11-211-1-12-1-111-20202i−2i-2-2002200−i−i2i2i−i−i−i−iii−2i−2iiiii00000000101100-10-1-1000−2i2i000i−i0000
χ5222-2-2-2-1222-122-2-211-2-2-1-12-2-11-211-12-122-1-11111-2-2-11-211-1-12-1-111-2020−2i2i-2-2002200ii−2i−2iiiii−i−i2i2i−i−i−i−i00000000101100-10-1-10002i−2i000−ii0000
χ53444444-2-244-2-2-2-244-2-2-2-21-2-24-2-2-2-214-2-2-2-2-2-2-2-2111-21111-21111104040000-2-200-2-20000000000000000000000000-200110-20011000000000000
χ54444444-2-244-2-2-2-244-2-2-2-21-2-24-2-2-2-214-2-2-2-2-2-2-2-2111-21111-2111110-40-400002200220000000000000000000000000200-1-10200-1-1000000000000
χ5544444-24-24-24-2-2-2-2-244-21-2-2-2-24-2-21-2-24-2-2-2-2-211-2-211-21111-21111404000-2-200-2-200000000000000000000000000-201100-201100000000000000
χ5644444-24-24-24-2-2-2-2-244-21-2-2-2-24-2-21-2-24-2-2-2-2-211-2-211-21111-21111-40-40002200220000000000000000000000000020-1-10020-1-100000000000000
χ5744444-2-244-2-2444-2-2-2-21-2-241-2-211-2-2-2-241111-2-2-2-21-2-2111-2-2111100004400000000-2-2-2-21111-2-2-2-2111100000000000000000000000000000000
χ5844444-2-244-2-2444-2-2-2-21-2-241-2-211-2-2-2-241111-2-2-2-21-2-2111-2-211110000-4-4000000002222-1-1-1-12222-1-1-1-100000000000000000000000000000000
χ594444-44-24-44-244444-2-2-24-2-4-2-42224-2-42-422-2-244-2-2-2-4222-2-4222-2-200000000000000000000000000000000000000000000000000000000000000
χ604444-44-2-2-44-2-2-2-244-2-2-2-212-2-4222-21-42222-2-2-2-21112-1-1-112-1-1-11100000000−2i32i300−2i32i30000000000000000000000000000i3−i30000i3−i3000000000000
χ614444-44-2-2-44-2-2-2-244-2-2-2-212-2-4222-21-42222-2-2-2-21112-1-1-112-1-1-111000000002i3−2i3002i3−2i30000000000000000000000000000−i3i30000−i3i3000000000000
χ624444-4-244-4-24444-2-244-2-24-4-22-422-242-4-422-2-2-2-244-22-422-22-422-2-200000000000000000000000000000000000000000000000000000000000000
χ634444-4-24-2-4-24-2-2-2-2-244-21-22-22-4221-22-4222-2-211-2-21-12-1-11-12-1-111000000−2i32i300−2i32i30000000000000000000000000000i3−i30000i3−i300000000000000
χ644444-4-24-2-4-24-2-2-2-2-244-21-22-22-4221-22-4222-2-211-2-21-12-1-11-12-1-1110000002i3−2i3002i3−2i30000000000000000000000000000−i3i30000−i3i300000000000000
χ654444-4-2-24-4-2-2444-2-2-2-21-2-2-4122-1-1-2-222-4-1-111-2-2-2-2122-1-1122-1-1110000000000000000003i3i−3i−3i00003i3i−3i−3i00000000000000000000000000000000
χ664444-4-2-24-4-2-2444-2-2-2-21-2-2-4122-1-1-2-222-4-1-111-2-2-2-2122-1-1122-1-111000000000000000000−3i−3i3i3i0000−3i−3i3i3i00000000000000000000000000000000
χ6744-4-444-24-44-24-4-4-4-422-24-24-24-2-2-24-2-42-42222-4-422-24-2-2-2-2-42222200000000000000000000000000000000000000000000000000000000000000
χ6844-4-444-2-2-44-2-222-4-422-2-21-2-24-2-2-2-21-422222222-1-11-211112-1-1-1-1-100000000−2i32i3002i3−2i30000000000000000000000000000i3−i30000−i3i3000000000000
χ6944-4-444-2-2-44-2-222-4-422-2-21-2-24-2-2-2-21-422222222-1-11-211112-1-1-1-1-1000000002i3−2i300−2i32i30000000000000000000000000000−i3i30000i3−i3000000000000
χ7044-4-44-244-4-244-4-422-4-4-2-244-2-24-2-2-242-4-4222222-4-4-2-24-2-2-22-4222200000000000000000000000000000000000000000000000000000000000000
χ7144-4-44-24-2-4-24-22222-4-4-21-2-2-2-24-2-21-22-422222-1-12211-2111-12-1-1-1-1000000−2i32i3002i3−2i30000000000000000000000000000i3−i30000−i3i300000000000000
χ7244-4-44-24-2-4-24-22222-4-4-21-2-2-2-24-2-21-22-422222-1-12211-2111-12-1-1-1-10000002i3−2i300−2i32i30000000000000000000000000000−i3i30000i3−i300000000000000
χ7344-4-44-2-24-4-2-24-4-422221-2-241-2-211-2-222-4-1-1-1-122221-2-211122-1-1-1-100000000000000000033-3-30000-3-33300000000000000000000000000000000
χ7444-4-44-2-24-4-2-24-4-422221-2-241-2-211-2-222-4-1-1-1-122221-2-211122-1-1-1-1000000000000000000-3-333000033-3-300000000000000000000000000000000
χ7544-4-4-44-2-244-2-222-4-422-2-212-2-4222-214-2-2-2-22222-1-112-1-1-11-2111-1-1040-40000-2-200220000000000000000000000000-200110200-1-1000000000000
χ7644-4-4-44-2-244-2-222-4-422-2-212-2-4222-214-2-2-2-22222-1-112-1-1-11-2111-1-10-40400002200-2-20000000000000000000000000200-1-10-20011000000000000
χ7744-4-4-4-24-24-24-22222-4-4-21-22-22-4221-2-24-2-2-222-1-1221-12-1-111-211-1-140-4000-2-2002200000000000000000000000000-20110020-1-100000000000000
χ7844-4-4-4-24-24-24-22222-4-4-21-22-22-4221-2-24-2-2-222-1-1221-12-1-111-211-1-1-4040002200-2-20000000000000000000000000020-1-100-201100000000000000
χ7944-4-4-4-2-244-2-24-4-422221-2-2-4122-1-1-2-2-2-2411-1-12222122-1-11-2-211-1-100004i−4i00000000−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i00000000000000000000000000000000
χ8044-4-4-4-2-244-2-24-4-422221-2-2-4122-1-1-2-2-2-2411-1-12222122-1-11-2-211-1-10000−4i4i000000002i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii00000000000000000000000000000000
χ814-44i−4i04440-4-4-44i−4i4i−4i4i−4i4440-40000-4-4000004i−4i4i−4i4i−4i40000-400004i−4i00000000000000000000000000000000000000000000000000000000000000
χ824-44i−4i044-20-4-42−2i2i4i−4i4i−4i4-2-20-4000022000004i−4i−2i2i−2i2i-2000020000−2i2i0000000000000000000000000000000000−2i32i323−23000000000000000000000000
χ834-44i−4i044-20-4-42−2i2i4i−4i4i−4i4-2-20-4000022000004i−4i−2i2i−2i2i-2000020000−2i2i00000000000000000000000000000000002i3−2i3−2323000000000000000000000000
χ844-44i−4i04-240-42-44i−4i4i−4i−2i2i-24-2020000-4200000−2i2i4i−4i−2i2i-2000020000−2i2i0000000000000000−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ1100−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ1100000000000000000000000000000000
χ854-44i−4i04-240-42-44i−4i4i−4i−2i2i-24-2020000-4200000−2i2i4i−4i−2i2i-2000020000−2i2i0000000000000000ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ1100ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ1100000000000000000000000000000000
χ864-44i−4i0-24402-4-44i−4i−2i2i4i−4i-2-240200002-400000−2i2i−2i2i4i−4i-2000020000−2i2i00000000000000−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ1100−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ1100ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ1100000000000000000000000000000000
χ874-44i−4i0-24402-4-44i−4i−2i2i4i−4i-2-240200002-400000−2i2i−2i2i4i−4i-2000020000−2i2i00000000000000ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ1100ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ1100−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ1100000000000000000000000000000000
χ884-44i−4i0-2-24022-44i−4i−2i2i−2i2i1-2-20-1003-3220003i−3ii−i−2i2i−2i2i1003-3-1003i−3ii−i00000000000000−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11i3−i33−3−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−33i3−i300000000000000000000000000000000
χ894-44i−4i0-2-24022-44i−4i−2i2i−2i2i1-2-20-1003-3220003i−3ii−i−2i2i−2i2i1003-3-1003i−3ii−i00000000000000ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−i3i3−33ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ113−3−i3i300000000000000000000000000000000
χ904-44i−4i0-2-24022-44i−4i−2i2i−2i2i1-2-20-100-3322000−3i3ii−i−2i2i−2i2i100-33-100−3i3ii−i00000000000000−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−33−i3i3−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−i3i33−300000000000000000000000000000000
χ914-44i−4i0-2-24022-44i−4i−2i2i−2i2i1-2-20-100-3322000−3i3ii−i−2i2i−2i2i100-33-100−3i3ii−i00000000000000ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ113−3i3−i3ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11i3−i3−3300000000000000000000000000000000
χ924-4−4i4i04440-4-4-4−4i4i−4i4i−4i4i4440-40000-4-400000−4i4i−4i4i−4i4i40000-40000−4i4i00000000000000000000000000000000000000000000000000000000000000
χ934-4−4i4i044-20-4-422i−2i−4i4i−4i4i4-2-20-400002200000−4i4i2i−2i2i−2i-20000200002i−2i0000000000000000000000000000000000−2i32i3−2323000000000000000000000000
χ944-4−4i4i044-20-4-422i−2i−4i4i−4i4i4-2-20-400002200000−4i4i2i−2i2i−2i-20000200002i−2i00000000000000000000000000000000002i3−2i323−23000000000000000000000000
χ954-4−4i4i04-240-42-4−4i4i−4i4i2i−2i-24-2020000-42000002i−2i−4i4i2i−2i-20000200002i−2i0000000000000000−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ1100−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ1100000000000000000000000000000000
χ964-4−4i4i04-240-42-4−4i4i−4i4i2i−2i-24-2020000-42000002i−2i−4i4i2i−2i-20000200002i−2i0000000000000000ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ1100ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ1100000000000000000000000000000000
χ974-4−4i4i0-24402-4-4−4i4i2i−2i−4i4i-2-240200002-4000002i−2i2i−2i−4i4i-20000200002i−2i00000000000000−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ1100−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ1100ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ1100000000000000000000000000000000
χ984-4−4i4i0-24402-4-4−4i4i2i−2i−4i4i-2-240200002-4000002i−2i2i−2i−4i4i-20000200002i−2i00000000000000ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ1100ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ1100−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ1100000000000000000000000000000000
χ994-4−4i4i0-2-24022-4−4i4i2i−2i2i−2i1-2-20-1003-322000−3i3i−ii2i−2i2i−2i1003-3-100−3i3i−ii00000000000000−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11i3−i3−33−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ113−3i3−i300000000000000000000000000000000
χ1004-4−4i4i0-2-24022-4−4i4i2i−2i2i−2i1-2-20-1003-322000−3i3i−ii2i−2i2i−2i1003-3-100−3i3i−ii00000000000000ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−i3i33−3ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−33−i3i300000000000000000000000000000000
χ1014-4−4i4i0-2-24022-4−4i4i2i−2i2i−2i1-2-20-100-33220003i−3i−ii2i−2i2i−2i100-33-1003i−3i−ii00000000000000−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ113−3−i3i3−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−i3i3−3300000000000000000000000000000000
χ1024-4−4i4i0-2-24022-4−4i4i2i−2i2i−2i1-2-20-100-33220003i−3i−ii2i−2i2i−2i100-33-1003i−3i−ii00000000000000ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−33i3−i3ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11i3−i33−300000000000000000000000000000000
χ10388888-4-4-48-4-4-4-4-4-4-4-4-4222-42-4-42222-4-4-422222222-122-1-1-122-1-1-1-100000000000000000000000000000000000000000000000000000000000000
χ1048888-8-4-4-4-8-4-4-4-4-4-4-4-4-42224244-2-222444-2-2222222-1-2-211-1-2-211-1-100000000000000000000000000000000000000000000000000000000000000
χ10588-8-88-4-4-4-8-4-4-4444444222-42-4-42222444-2-2-2-2-2-2-2-2-122-1-1-1-2-2111100000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-8-4-4-48-4-4-44444442224244-2-222-4-4-422-2-2-2-2-2-2-1-2-211-122-1-11100000000000000000000000000000000000000000000000000000000000000
χ1078-88i−8i08-4-40-844−4i4i8i−8i−4i4i-4-420400004-200000−4i4i−4i4i2i−2i20000-200002i−2i00000000000000000000000000000000000000000000000000000000000000
χ1088-88i−8i0-48-404-84−4i4i−4i4i8i−8i-42-4040000-2400000−4i4i2i−2i−4i4i20000-200002i−2i00000000000000000000000000000000000000000000000000000000000000
χ1098-88i−8i0-4-4-40444−4i4i−4i4i−4i4i2220-2006-6-2-20006i−6i2i−2i2i−2i2i−2i-100-33100−3i3i−ii00000000000000000000000000000000000000000000000000000000000000
χ1108-88i−8i0-4-4-40444−4i4i−4i4i−4i4i2220-200-66-2-2000−6i6i2i−2i2i−2i2i−2i-1003-31003i−3i−ii00000000000000000000000000000000000000000000000000000000000000
χ1118-8−8i8i08-4-40-8444i−4i−8i8i4i−4i-4-420400004-2000004i−4i4i−4i−2i2i20000-20000−2i2i00000000000000000000000000000000000000000000000000000000000000
χ1128-8−8i8i0-48-404-844i−4i4i−4i−8i8i-42-4040000-24000004i−4i−2i2i4i−4i20000-20000−2i2i00000000000000000000000000000000000000000000000000000000000000
χ1138-8−8i8i0-4-4-404444i−4i4i−4i4i−4i2220-2006-6-2-2000−6i6i−2i2i−2i2i−2i2i-100-331003i−3ii−i00000000000000000000000000000000000000000000000000000000000000
χ1148-8−8i8i0-4-4-404444i−4i4i−4i4i−4i2220-200-66-2-20006i−6i−2i2i−2i2i−2i2i-1003-3100−3i3ii−i00000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.