Finite Group Databasebeta

← Group #11872840

Character table — Group #11872840

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111222222222222222222222244444444444444444444444444444444444444444444444444444444444412121212121212122424242424242424242424242424242424242424363636367272
order122233444444666666121212121212121236668888121212121212121212121212121212121212121224242424242424242424242424242424242424242424242424242424242424242222444444446666121212121212121212121212244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1
χ6111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111
χ8111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111111111-1-1
χ9111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-11111-1-111-1-1-1-111-1-111-1-11-1
χ10111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-1111-1-1-1-111-1-111-1-111-1-111-11
χ11111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-11111-1-111-1-111-1-1-1-111-11
χ12111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-1-1-1-111-1-11111-1-11111-1-11-1
χ13111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-11-111111-1-1-1-111-1-1-1-11111-1-1-11
χ14111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-111-111-1-1-1-1-1-1111111-1-1-1-1111-1
χ15111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-11-1-11-1-1111111-1-1-1-1-1-111-1-1111-1
χ16111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111-11-1-1-1-1-11111-1-11111-1-111-1-1-11
χ1722222222-2-2-2-22222222222-2-2-2-22222000022-2-22222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000002-22-200
χ1822222222-2-2-2-22222222222-2-2-2-22222000022-2-22222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000-22-2200
χ19222222-2-222-2-2222222-2-2-2-2222222220000-2-222-2-2-2-22222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000002-2-2200
χ20222222-2-222-2-2222222-2-2-2-2222222220000-2-222-2-2-2-22222-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000-222-200
χ2122222-1222222222-1-1-12222-1-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100220022002200-1-1000000-1-1-1-1-1-1000000
χ2222222-1222222222-1-1-12222-1-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-200-2-20011000000111111000000
χ2322222-1222222222-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-21111111111110022002200-2-200-1-1000000-1-11111000000
χ2422222-1222222222-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-211111111111100-2-200-2-20022001100000011-1-1-1-1000000
χ2522222-1-2-2-2-222222-1-1-1-2-2-2-21111-1-1-1-122-2-211-2-21111111122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111002200-2-2002-200-1-100000011-1-111000000
χ2622222-1-2-2-2-222222-1-1-1-2-2-2-21111-1-1-1-122-2-211-2-21111111122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111100-2-2002200-220011000000-1-111-1-1000000
χ2722222-1-2-2-2-222222-1-1-1-2-2-2-21111-1-1-1-1-2-22211-2-21111111122-1-1-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1002200-2-200-2200-1-10000001111-1-1000000
χ2822222-1-2-2-2-222222-1-1-1-2-2-2-21111-1-1-1-1-2-22211-2-21111111122-1-1-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-100-2-20022002-20011000000-1-1-1-111000000
χ292222-12222222-1-1-1222-1-1-1-12222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1220022002200-1-100-1-1-1-1-1-1000000000000
χ302222-12222222-1-1-1222-1-1-1-12222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-200-2-200-2-2001100111111000000000000
χ312222-12222222-1-1-1222-1-1-1-12222-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-21111111122002200-2-200-1-100-1-11111000000000000
χ322222-12222222-1-1-1222-1-1-1-12222-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111-2-200-2-2002200110011-1-1-1-1000000000000
χ332222-12-2-2-2-222-1-1-12221111-2-2-2-2-1-1-1-122-2-2-2-21111111111-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111112200-2-2002-200-1-10011-1-111000000000000
χ342222-12-2-2-2-222-1-1-12221111-2-2-2-2-1-1-1-122-2-2-2-21111111111-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111-2-2002200-22001100-1-111-1-1000000000000
χ352222-12-2-2-2-222-1-1-12221111-2-2-2-2-1-1-1-1-2-222-2-21111111111-1-122-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-12200-2-200-2200-1-1001111-1-1000000000000
χ362222-12-2-2-2-222-1-1-12221111-2-2-2-2-1-1-1-1-2-222-2-21111111111-1-122-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1-2-20022002-2001100-1-1-1-111000000000000
χ3722-2-2222i−2i2i−2i2-22-2-22-2-22i2i−2i−2i2i2i−2i−2i22-2-200002i−2i2i−2i2i2i−2i−2i2i2i−2i−2i2-22-222-2-200000000000000000000000000000000002-2002i−2i0000002-20000002i−2i0000000000
χ3822-2-2222i−2i2i−2i2-22-2-22-2-22i2i−2i−2i2i2i−2i−2i22-2-200002i−2i2i−2i2i2i−2i−2i2i2i−2i−2i2-22-222-2-20000000000000000000000000000000000-2200−2i2i000000-22000000−2i2i0000000000
χ3922-2-2222i−2i−2i2i-222-2-22-2-22i2i−2i−2i−2i−2i2i2i22-2-200002i−2i−2i2i2i2i−2i−2i−2i−2i2i2i-22-22-2-222000000000000000000000000000000002-2002i−2i0000002-2002i−2i0000000000000000
χ4022-2-2222i−2i−2i2i-222-2-22-2-22i2i−2i−2i−2i−2i2i2i22-2-200002i−2i−2i2i2i2i−2i−2i−2i−2i2i2i-22-22-2-22200000000000000000000000000000000-2200−2i2i000000-2200−2i2i0000000000000000
χ4122-2-222−2i2i2i−2i-222-2-22-2-2−2i−2i2i2i2i2i−2i−2i22-2-20000−2i2i2i−2i−2i−2i2i2i2i2i−2i−2i-22-22-2-222000000000000000000000000000000002-200−2i2i0000002-200−2i2i0000000000000000
χ4222-2-222−2i2i2i−2i-222-2-22-2-2−2i−2i2i2i2i2i−2i−2i22-2-20000−2i2i2i−2i−2i−2i2i2i2i2i−2i−2i-22-22-2-22200000000000000000000000000000000-22002i−2i000000-22002i−2i0000000000000000
χ4322-2-222−2i2i−2i2i2-22-2-22-2-2−2i−2i2i2i−2i−2i2i2i22-2-20000−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i2-22-222-2-200000000000000000000000000000000002-200−2i2i0000002-2000000−2i2i0000000000
χ4422-2-222−2i2i−2i2i2-22-2-22-2-2−2i−2i2i2i−2i−2i2i2i22-2-20000−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i2-22-222-2-20000000000000000000000000000000000-22002i−2i000000-220000002i−2i0000000000
χ4522-2-22-12i−2i2i−2i2-22-2-2-1112i2i−2i−2i−i−iii-1-1110000−ii2i−2i−i−iii−i−iii2-2-11-1-1110000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i3000033−3−33333−3−3−3−3002-2002i−2i000000-11000000−ii−i3i33−3000000
χ4622-2-22-12i−2i2i−2i2-22-2-2-1112i2i−2i−2i−i−iii-1-1110000−ii2i−2i−i−iii−i−iii2-2-11-1-1110000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i3000033−3−33333−3−3−3−300-2200−2i2i0000001-1000000i−ii3−i3−33000000
χ4722-2-22-12i−2i2i−2i2-22-2-2-1112i2i−2i−2i−i−iii-1-1110000−ii2i−2i−i−iii−i−iii2-2-11-1-1110000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i30000−3−333−3−3−3−33333002-2002i−2i000000-11000000−iii3−i3−33000000
χ4822-2-22-12i−2i2i−2i2-22-2-2-1112i2i−2i−2i−i−iii-1-1110000−ii2i−2i−i−iii−i−iii2-2-11-1-1110000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i30000−3−333−3−3−3−3333300-2200−2i2i0000001-1000000i−i−i3i33−3000000
χ4922-2-22-1−2i2i−2i2i2-22-2-2-111−2i−2i2i2iii−i−i-1-1110000i−i−2i2iii−i−iii−i−i2-2-11-1-1110000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i30000−3−333−3−3−3−33333002-200−2i2i000000-11000000i−i−i3i3−33000000
χ5022-2-22-1−2i2i−2i2i2-22-2-2-111−2i−2i2i2iii−i−i-1-1110000i−i−2i2iii−i−iii−i−i2-2-11-1-1110000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i30000−3−333−3−3−3−3333300-22002i−2i0000001-1000000−iii3−i33−3000000
χ5122-2-22-1−2i2i−2i2i2-22-2-2-111−2i−2i2i2iii−i−i-1-1110000i−i−2i2iii−i−iii−i−i2-2-11-1-1110000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i3000033−3−33333−3−3−3−3002-200−2i2i000000-11000000i−ii3−i33−3000000
χ5222-2-22-1−2i2i−2i2i2-22-2-2-111−2i−2i2i2iii−i−i-1-1110000i−i−2i2iii−i−iii−i−i2-2-11-1-1110000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i3000033−3−33333−3−3−3−300-22002i−2i0000001-1000000−ii−i3i3−33000000
χ5322-2-2-122i−2i−2i2i-22-1112-2-2−i−iii−2i−2i2i2i-1-11100002i−2ii−i−i−iiiii−i−i1-1-2211-1-133−3−3000033−3−333−3−3−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i32-2002i−2i000000-1100−ii3−3−i3i3000000000000
χ5422-2-2-122i−2i−2i2i-22-1112-2-2−i−iii−2i−2i2i2i-1-11100002i−2ii−i−i−iiiii−i−i1-1-2211-1-133−3−3000033−3−333−3−3−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i3-2200−2i2i0000001-100i−i−33i3−i3000000000000
χ5522-2-2-122i−2i−2i2i-22-1112-2-2−i−iii−2i−2i2i2i-1-11100002i−2ii−i−i−iiiii−i−i1-1-2211-1-1−3−3330000−3−333−3−333i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i32-2002i−2i000000-1100−ii−33i3−i3000000000000
χ5622-2-2-122i−2i−2i2i-22-1112-2-2−i−iii−2i−2i2i2i-1-11100002i−2ii−i−i−iiiii−i−i1-1-2211-1-1−3−3330000−3−333−3−333i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i3-2200−2i2i0000001-100i−i3−3−i3i3000000000000
χ5722-2-2-12−2i2i2i−2i-22-1112-2-2ii−i−i2i2i−2i−2i-1-1110000−2i2i−iiii−i−i−i−iii1-1-2211-1-133−3−3000033−3−333−3−3i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i32-200−2i2i000000-1100i−i3−3i3−i3000000000000
χ5822-2-2-12−2i2i2i−2i-22-1112-2-2ii−i−i2i2i−2i−2i-1-1110000−2i2i−iiii−i−i−i−iii1-1-2211-1-133−3−3000033−3−333−3−3i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i3-22002i−2i0000001-100−ii−33−i3i3000000000000
χ5922-2-2-12−2i2i2i−2i-22-1112-2-2ii−i−i2i2i−2i−2i-1-1110000−2i2i−iiii−i−i−i−iii1-1-2211-1-1−3−3330000−3−333−3−333−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i32-200−2i2i000000-1100i−i−33−i3i3000000000000
χ6022-2-2-12−2i2i2i−2i-22-1112-2-2ii−i−i2i2i−2i−2i-1-1110000−2i2i−iiii−i−i−i−iii1-1-2211-1-1−3−3330000−3−333−3−333−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i3-22002i−2i0000001-100−ii3−3i3−i3000000000000
χ6144444-244-4-4-4-4444-2-2-244442222-2-2-2-20000-2-2-4-4-2-2-2-22222-4-4222222000000000000000000000000000000000000000000000000000000000000000000
χ6244444-2-4-444-4-4444-2-2-2-4-4-4-4-2-2-2-2-2-2-2-2000022442222-2-2-2-2-4-4222222000000000000000000000000000000000000000000000000000000000000000000
χ634444-2444-4-4-4-4-2-2-2444-2-2-2-2-4-4-4-4-2-2-2-200004422-2-2-2-2222222-4-42222000000000000000000000000000000000000000000000000000000000000000000
χ644444-24-4-444-4-4-2-2-244422224444-2-2-2-20000-4-4-2-22222-2-2-2-222-4-42222000000000000000000000000000000000000000000000000000000000000000000
χ654444-2-2444444-2-2-2-2-2-2-2-2-2-2-2-2-2-211114444-2-2-2-211111111-2-2-2-21111-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-2111111110000000000000000000000000000000000
χ664444-2-2444444-2-2-2-2-2-2-2-2-2-2-2-2-2-21111-4-4-4-4-2-2-2-211111111-2-2-2-2111122222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ674444-2-244-4-4-4-4-2-2-2-2-2-2-2-2-2-2222211110000-2-2221111-1-1-1-12222-1-1-1-1000000003i3i−3i−3i−3i−3i3i3i00000000−3i−3i3i3i3i3i−3i−3i0000000000000000000000000000000000
χ684444-2-244-4-4-4-4-2-2-2-2-2-2-2-2-2-2222211110000-2-2221111-1-1-1-12222-1-1-1-100000000−3i−3i3i3i3i3i−3i−3i000000003i3i−3i−3i−3i−3i3i3i0000000000000000000000000000000000
χ694444-2-2-4-444-4-4-2-2-2-2-2-22222-2-2-2-21111000022-2-2-1-1-1-111112222-1-1-1-1000000003i3i−3i−3i−3i−3i3i3i000000003i3i−3i−3i−3i−3i3i3i0000000000000000000000000000000000
χ704444-2-2-4-444-4-4-2-2-2-2-2-22222-2-2-2-21111000022-2-2-1-1-1-111112222-1-1-1-100000000−3i−3i3i3i3i3i−3i−3i00000000−3i−3i3i3i3i3i−3i−3i0000000000000000000000000000000000
χ714444-2-2-4-4-4-444-2-2-2-2-2-222222222111144-4-42222-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-2-2-2-2-21111111122222222-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ724444-2-2-4-4-4-444-2-2-2-2-2-2222222221111-4-4442222-1-1-1-1-1-1-1-1-2-2-2-2111122222222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111110000000000000000000000000000000000
χ7344-4-44-24i−4i−4i4i-444-4-4-2224i4i−4i−4i2i2i−2i−2i-2-2220000−2i2i−4i4i−2i−2i2i2i2i2i−2i−2i-442-222-2-2000000000000000000000000000000000000000000000000000000000000000000
χ7444-4-44-2−4i4i4i−4i-444-4-4-222−4i−4i4i4i−2i−2i2i2i-2-22200002i−2i4i−4i2i2i−2i−2i−2i−2i2i2i-442-222-2-2000000000000000000000000000000000000000000000000000000000000000000
χ7544-4-4-244i−4i4i−4i4-4-2224-4-4−2i−2i2i2i4i4i−4i−4i-2-22200004i−4i−2i2i−2i−2i2i2i−2i−2i2i2i-224-4-2-222000000000000000000000000000000000000000000000000000000000000000000
χ7644-4-4-24−4i4i−4i4i4-4-2224-4-42i2i−2i−2i−4i−4i4i4i-2-2220000−4i4i2i−2i2i2i−2i−2i2i2i−2i−2i-224-4-2-222000000000000000000000000000000000000000000000000000000000000000000
χ7744-4-4-2-24i−4i4i−4i4-4-222-222−2i−2i2i2i−2i−2i2i2i11-1-10000−2i2i−2i2iii−i−iii−i−i-22-2211-1-10000−2i3−2i32i32i3i3i3i3i3−i3−i3−i3−i300002323−23−23−3−3−3−333330000000000000000000000000000000000
χ7844-4-4-2-24i−4i4i−4i4-4-222-222−2i−2i2i2i−2i−2i2i2i11-1-10000−2i2i−2i2iii−i−iii−i−i-22-2211-1-100002i32i3−2i3−2i3−i3−i3−i3−i3i3i3i3i30000−23−2323233333−3−3−3−30000000000000000000000000000000000
χ7944-4-4-2-24i−4i−4i4i-44-222-222−2i−2i2i2i2i2i−2i−2i11-1-10000−2i2i2i−2iii−i−i−i−iii2-22-2-1-1112323−23−230000−3−333−3−333−2i3−2i32i32i30000i3i3−i3−i3i3i3−i3−i30000000000000000000000000000000000
χ8044-4-4-2-24i−4i−4i4i-44-222-222−2i−2i2i2i2i2i−2i−2i11-1-10000−2i2i2i−2iii−i−i−i−iii2-22-2-1-111−23−232323000033−3−333−3−32i32i3−2i3−2i30000−i3−i3i3i3−i3−i3i3i30000000000000000000000000000000000
χ8144-4-4-2-2−4i4i4i−4i-44-222-2222i2i−2i−2i−2i−2i2i2i11-1-100002i−2i−2i2i−i−iiiii−i−i2-22-2-1-1112323−23−230000−3−333−3−3332i32i3−2i3−2i30000−i3−i3i3i3−i3−i3i3i30000000000000000000000000000000000
χ8244-4-4-2-2−4i4i4i−4i-44-222-2222i2i−2i−2i−2i−2i2i2i11-1-100002i−2i−2i2i−i−iiiii−i−i2-22-2-1-111−23−232323000033−3−333−3−3−2i3−2i32i32i30000i3i3−i3−i3i3i3−i3−i30000000000000000000000000000000000
χ8344-4-4-2-2−4i4i−4i4i4-4-222-2222i2i−2i−2i2i2i−2i−2i11-1-100002i−2i2i−2i−i−iii−i−iii-22-2211-1-10000−2i3−2i32i32i3i3i3i3i3−i3−i3−i3−i30000−23−2323233333−3−3−3−30000000000000000000000000000000000
χ8444-4-4-2-2−4i4i−4i4i4-4-222-2222i2i−2i−2i2i2i−2i−2i11-1-100002i−2i2i−2i−i−iii−i−iii-22-2211-1-100002i32i3−2i3−2i3−i3−i3−i3−i3i3i3i3i300002323−23−23−3−3−3−333330000000000000000000000000000000000
χ854-44-444000000-44-4-44-4000000004-44-4−2i22i20000000000000000000000−2i22i2−2i22i2−2i22i2−2i22i2−2i22i2−2i22i2−2i22i2−2i22i200000000000000000000000000000000000000000000000000
χ864-44-444000000-44-4-44-4000000004-44-42i2−2i200000000000000000000002i2−2i22i2−2i22i2−2i22i2−2i22i2−2i22i2−2i22i2−2i22i2−2i200000000000000000000000000000000000000000000000000
χ874-44-44-2000000-44-42-22000023−2323−23-22-22−2i22i2000000000023−2323−2300000000−2i22i2−2i22i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000i6−i6i6−i6i6−i6i6−i6i6−i6i6−i60000000000000000000000000000000000
χ884-44-44-2000000-44-42-22000023−2323−23-22-222i2−2i2000000000023−2323−23000000002i2−2i22i2−2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000−i6i6−i6i6−i6i6−i6i6−i6i6−i6i60000000000000000000000000000000000
χ894-44-44-2000000-44-42-220000−2323−2323-22-22−2i22i20000000000−2323−232300000000−2i22i2−2i22i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000−i6i6−i6i6−i6i6−i6i6−i6i6−i6i60000000000000000000000000000000000
χ904-44-44-2000000-44-42-220000−2323−2323-22-222i2−2i20000000000−2323−2323000000002i2−2i22i2−2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000i6−i6i6−i6i6−i6i6−i6i6−i6i6−i60000000000000000000000000000000000
χ914-44-4-240000002-22-44-4−2i32i3−2i32i30000-22-22−2i22i2000000−2i32i3−2i32i3000000000000i2−i2i2−i2−2i22i2−2i22i2i2−i2i2−i2i2−i2i2−i26−66−600006−6−66−666−60000000000000000000000000000000000
χ924-44-4-240000002-22-44-4−2i32i3−2i32i30000-22-222i2−2i2000000−2i32i3−2i32i3000000000000−i2i2−i2i22i2−2i22i2−2i2−i2i2−i2i2−i2i2−i2i2−66−660000−666−66−6−660000000000000000000000000000000000
χ934-44-4-240000002-22-44-42i3−2i32i3−2i30000-22-22−2i22i20000002i3−2i32i3−2i3000000000000i2−i2i2−i2−2i22i2−2i22i2i2−i2i2−i2i2−i2i2−i2−66−660000−666−66−6−660000000000000000000000000000000000
χ944-44-4-240000002-22-44-42i3−2i32i3−2i30000-22-222i2−2i20000002i3−2i32i3−2i3000000000000−i2i2−i2i22i2−2i22i2−2i2−i2i2−i2i2−i2i2−i2i26−66−600006−6−66−666−60000000000000000000000000000000000
χ954-44-4-2-20000002-222-22−2i32i3−2i32i323−2323−231-11-1−2i22i2000000i3−i3i3−i3−33−3300003i−3i3i−3ii2−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−ζ236−66−6i6−i6i6−i6−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ130000000000000000000000000000000000
χ964-44-4-2-20000002-222-22−2i32i3−2i32i323−2323−231-11-12i2−2i2000000i3−i3i3−i3−33−3300003i−3i3i−3i−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+ζ23−66−66−i6i6−i6i6ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ130000000000000000000000000000000000
χ974-44-4-2-20000002-222-22−2i32i3−2i32i3−2323−23231-11-1−2i22i2000000i3−i3i3−i33−33−30000−3i3i−3i3ii2−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+2ζ236−66−6−i6i6−i6i6ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ230000000000000000000000000000000000
χ984-44-4-2-20000002-222-22−2i32i3−2i32i3−2323−23231-11-12i2−2i2000000i3−i3i3−i33−33−30000−3i3i−3i3i−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+ζ13−2ζ23−66−66i6−i6i6−i6−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ230000000000000000000000000000000000
χ994-44-4-2-20000002-222-222i3−2i32i3−2i323−2323−231-11-1−2i22i2000000−i3i3−i3i3−33−330000−3i3i−3i3ii2−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+2ζ23−66−66i6−i6i6−i6−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ230000000000000000000000000000000000
χ1004-44-4-2-20000002-222-222i3−2i32i3−2i323−2323−231-11-12i2−2i2000000−i3i3−i3i3−33−330000−3i3i−3i3i−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+ζ13−2ζ236−66−6−i6i6−i6i6ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ230000000000000000000000000000000000
χ1014-44-4-2-20000002-222-222i3−2i32i3−2i3−2323−23231-11-1−2i22i2000000−i3i3−i3i33−33−300003i−3i3i−3ii2−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−ζ23−66−66−i6i6−i6i6ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ130000000000000000000000000000000000
χ1024-44-4-2-20000002-222-222i3−2i32i3−2i3−2323−23231-11-12i2−2i2000000−i3i3−i3i33−33−300003i−3i3i−3i−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+ζ236−66−6i6−i6i6−i6−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ130000000000000000000000000000000000
χ1034-4-4444000000-4-44-4-44000000004-4-4400−2i22i2000000000000000000000000000000000000−2i22i22i2−2i2−2i22i22i2−2i2−2i22i2−2i22i22i2−2i22i2−2i20000000000000000000000000000000000
χ1044-4-4444000000-4-44-4-44000000004-4-44002i2−2i20000000000000000000000000000000000002i2−2i2−2i22i22i2−2i2−2i22i22i2−2i22i2−2i2−2i22i2−2i22i20000000000000000000000000000000000
χ1054-4-444-2000000-4-4422-20000−2i32i32i3−2i3-222-200−2i22i200000000−2i32i32i3−2i30000000000006−6−666−66−6−66−66−2i22i22i2−2i2i2−i2−i2i2i2−i2i2−i2−i2i2−i2i20000000000000000000000000000000000
χ1064-4-444-2000000-4-4422-20000−2i32i32i3−2i3-222-2002i2−2i200000000−2i32i32i3−2i3000000000000−666−6−66−666−66−62i2−2i2−2i22i2−i2i2i2−i2−i2i2−i2i2i2−i2i2−i20000000000000000000000000000000000
χ1074-4-444-2000000-4-4422-200002i3−2i3−2i32i3-222-200−2i22i2000000002i3−2i3−2i32i3000000000000−666−6−66−666−66−6−2i22i22i2−2i2i2−i2−i2i2i2−i2i2−i2−i2i2−i2i20000000000000000000000000000000000
χ1084-4-444-2000000-4-4422-200002i3−2i3−2i32i3-222-2002i2−2i2000000002i3−2i3−2i32i30000000000006−6−666−66−6−66−662i2−2i2−2i22i2−i2i2i2−i2−i2i2−i2i2i2−i2i2−i20000000000000000000000000000000000
χ1094-4-44-2400000022-2-4-4423−23−23230000-222-200−2i22i2000023−23−2323000000000000i6−i6−i6i60000i6−i6−i6i6i6−i6−i6i6i2−i2−i2i2−2i22i22i2−2i2i2−i2i2−i2−i2i2−i2i20000000000000000000000000000000000
χ1104-4-44-2400000022-2-4-4423−23−23230000-222-2002i2−2i2000023−23−2323000000000000−i6i6i6−i60000−i6i6i6−i6−i6i6i6−i6−i2i2i2−i22i2−2i2−2i22i2−i2i2−i2i2i2−i2i2−i20000000000000000000000000000000000
χ1114-4-44-2400000022-2-4-44−232323−230000-222-200−2i22i20000−232323−23000000000000−i6i6i6−i60000−i6i6i6−i6−i6i6i6−i6i2−i2−i2i2−2i22i22i2−2i2i2−i2i2−i2−i2i2−i2i20000000000000000000000000000000000
χ1124-4-44-2400000022-2-4-44−232323−230000-222-2002i2−2i20000−232323−23000000000000i6−i6−i6i60000i6−i6−i6i6i6−i6−i6i6−i2i2i2−i22i2−2i2−2i22i2−i2i2−i2i2i2−i2i2−i20000000000000000000000000000000000
χ1134-4-44-2-200000022-222-223−23−2323−2i32i32i3−2i31-1-1100−2i22i20000−333−3i3−i3−i3i30000−3i3i3i−3ii6−i6−i6i66−6−66−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13i2−i2−i2i2i2−i2−i2i2ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ230000000000000000000000000000000000
χ1144-4-44-2-200000022-222-223−23−2323−2i32i32i3−2i31-1-11002i2−2i20000−333−3i3−i3−i3i30000−3i3i3i−3i−i6i6i6−i6−666−6ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−i2i2i2−i2−i2i2i2−i2−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ230000000000000000000000000000000000
χ1154-4-44-2-200000022-222-223−23−23232i3−2i3−2i32i31-1-1100−2i22i20000−333−3−i3i3i3−i300003i−3i−3i3ii6−i6−i6i6−666−6−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23i2−i2−i2i2i2−i2−i2i2−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ230000000000000000000000000000000000
χ1164-4-44-2-200000022-222-223−23−23232i3−2i3−2i32i31-1-11002i2−2i20000−333−3−i3i3i3−i300003i−3i−3i3i−i6i6i6−i66−6−66ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−i2i2i2−i2−i2i2i2−i22ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ230000000000000000000000000000000000
χ1174-4-44-2-200000022-222-2−232323−23−2i32i32i3−2i31-1-1100−2i22i200003−3−33i3−i3−i3i300003i−3i−3i3i−i6i6i6−i66−6−66ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23i2−i2−i2i2i2−i2−i2i2−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ230000000000000000000000000000000000
χ1184-4-44-2-200000022-222-2−232323−23−2i32i32i3−2i31-1-11002i2−2i200003−3−33i3−i3−i3i300003i−3i−3i3ii6−i6−i6i6−666−6−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−i2i2i2−i2−i2i2i2−i22ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ230000000000000000000000000000000000
χ1194-4-44-2-200000022-222-2−232323−232i3−2i3−2i32i31-1-1100−2i22i200003−3−33−i3i3i3−i30000−3i3i3i−3i−i6i6i6−i6−666−6ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13i2−i2−i2i2i2−i2−i2i2ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ230000000000000000000000000000000000
χ1204-4-44-2-200000022-222-2−232323−232i3−2i3−2i32i31-1-11002i2−2i200003−3−33−i3i3i3−i30000−3i3i3i−3ii6−i6−i6i66−6−66−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−i2i2i2−i2−i2i2i2−i2−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ230000000000000000000000000000000000

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