Finite Group Databasebeta

← Group #13161976

Character table — Group #13161976

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111122222222222222444444444444444444444444444444448888888888888888888888888888888888181818181818181836363636363636363636363636363636363636363636363672727272
order122233344666666666223333366666666666666666661212121212126666666666666666666666661212121212121212121222446666224444666688881212242424242424242412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111
χ5111111111111111111-1-111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ6111111111111111111-1-111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1
χ7111111111111111111-1-111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1-1-1111111-1-1
χ8111111111111111111-1-111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-111
χ911-1-11111-1-1-1-1-1111-1-11-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-11-11-111-1-11-1i−ii−i11-1-1i−ii−i1-1ii−i−iii−i−ii−ii−i
χ1011-1-11111-1-1-1-1-1111-1-11-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-11-11-111-1-11-1−ii−ii11-1-1−ii−ii1-1−i−iii−i−iii−ii−ii
χ1111-1-11111-1-1-1-1-1111-1-11-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-11-11-1-111-11i−i−ii-1-111i−i−ii-11ii−i−i−i−iiii−i−ii
χ1211-1-11111-1-1-1-1-1111-1-11-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-11-11-1-111-11−iii−i-1-111−iii−i-11−i−iiiii−i−i−iii−i
χ1311-1-11111-1-1-1-1-1111-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-11-11-111-1-1-11i−ii−i-1-111−ii−ii1-1−i−iii−i−iiii−ii−i
χ1411-1-11111-1-1-1-1-1111-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-11-11-111-1-1-11−ii−ii-1-111i−ii−i1-1ii−i−iii−i−i−ii−ii
χ1511-1-11111-1-1-1-1-1111-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-11-11-1-1111-1i−i−ii11-1-1−iii−i-11−i−iiiii−i−ii−i−ii
χ1611-1-11111-1-1-1-1-1111-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-11-11-1-1111-1−iii−i11-1-1i−i−ii-11ii−i−i−i−iii−iii−i
χ172222222-2-222222222200222220000222222222222222-2-2-2-2-2-2000000000000000000000000-2-2-2-2-2-2-2-2-2-222-2-2222200000000000000-2-2000000000000
χ182222222-2-222222222200222220000222222222222222-2-2-2-2-2-2000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-20000000000000022000000000000
χ19222222-12222-1-122-122222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-122-1-122222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-12-1-1-1-12222-1-1-1-1220000-1-1-1-10000-1-1000000000000
χ20222222-12222-1-122-122222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-122-1-122222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-12-1-1-1-1-2-2-2-21111-2-200001111000011000000000000
χ21222222-12222-1-122-122-2-22-1-1-1-1111122-1-1-1-1-1-1-1-12-1-1-1-122-1-122-2-2-2-2-2-211111111-2-2111111112-1-1-1-12-1-1-1-12222-1-1-1-1-2-2000011110000-1-1000000000000
χ22222222-12222-1-122-122-2-22-1-1-1-1111122-1-1-1-1-1-1-1-12-1-1-1-122-1-122-2-2-2-2-2-211111111-2-2111111112-1-1-1-12-1-1-1-1-2-2-2-21111220000-1-1-1-1000011000000000000
χ23222222-1-2-222-1-122-122002-1-1-1-1−i3i3−i3i322-1-1-1-1-1-1-1-12-1-1-1-1-2-211-2-2000000−i3−i3−i3−i3i3i3i3i300−i3−i3−i3−i3i3i3i3i3-21111-2111122-2-2-1-1-1-1000000−i3i3−i3i3000011000000000000
χ24222222-1-2-222-1-122-122002-1-1-1-1−i3i3−i3i322-1-1-1-1-1-1-1-12-1-1-1-1-2-211-2-2000000−i3−i3−i3−i3i3i3i3i300−i3−i3−i3−i3i3i3i3i3-21111-21111-2-2221111000000i3−i3i3−i30000-1-1000000000000
χ25222222-1-2-222-1-122-122002-1-1-1-1i3−i3i3−i322-1-1-1-1-1-1-1-12-1-1-1-1-2-211-2-2000000i3i3i3i3−i3−i3−i3−i300i3i3i3i3−i3−i3−i3−i3-21111-2111122-2-2-1-1-1-1000000i3−i3i3−i3000011000000000000
χ26222222-1-2-222-1-122-122002-1-1-1-1i3−i3i3−i322-1-1-1-1-1-1-1-12-1-1-1-1-2-211-2-2000000i3i3i3i3−i3−i3−i3−i300i3i3i3i3−i3−i3−i3−i3-21111-21111-2-2221111000000−i3i3−i3i30000-1-1000000000000
χ2722222-12222-1222-122-122-12-1-1-12222-1-122-1-1-1-1-1-1-12-1-1-12-1222-12-12-1-1-12-1-1-12-1-1-1-1-12-1-1-12-1-1-1-12-1-1-1-12-1-1-10000000000002200000022000000-1-1-1-100-1-1
χ2822222-12222-1222-122-122-12-1-1-12222-1-122-1-1-1-1-1-1-12-1-1-12-1222-12-12-1-1-12-1-1-12-1-1-1-1-12-1-1-12-1-1-1-12-1-1-1-12-1-1-1000000000000-2-2000000-2-200000011110011
χ2922222-12222-1222-122-1-2-2-12-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-12-1-1-12-1222-1-21-2111-2111-211111-2111-2111-12-1-1-1-12-1-1-100000000000022000000-2-2000000111100-1-1
χ3022222-12222-1222-122-1-2-2-12-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-12-1-1-12-1222-1-21-2111-2111-211111-2111-2111-12-1-1-1-12-1-1-1000000000000-2-200000022000000-1-1-1-10011
χ312222-12222-1222-122-1222-1-12-1-12222-1-1-1-122-1-1-1-1-1-12-1-1-1222-12-12-12-1-1-12-1-1-12-1-1-1-1-12-1-1-12-1-1-1-12-1-1-1-12-1-1000000000022000000220000-1-1-1-10000-1-100
χ322222-12222-1222-122-1222-1-12-1-12222-1-1-1-122-1-1-1-1-1-12-1-1-1222-12-12-12-1-1-12-1-1-12-1-1-1-1-12-1-1-12-1-1-1-12-1-1-1-12-1-10000000000-2-2000000-2-20000111100001100
χ332222-12222-1222-122-12-2-2-1-12-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-12-1-1-1222-121-21-2111-2111-211111-2111-211-1-12-1-1-1-12-1-1000000000022000000-2-2000011110000-1-100
χ342222-12222-1222-122-12-2-2-1-12-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-12-1-1-1222-121-21-2111-2111-211111-2111-211-1-12-1-1-1-12-1-10000000000-2-2000000220000-1-1-1-100001100
χ3522-2-2222-22-2-2-2-2222-2-200222220000-2-2-2-2-2-2-2-2-2-222222-2-2-2222000000000000000000000000-2-2-2-2-2222222-2-2222-2-200000000000000-22000000000000
χ3622-2-2222-22-2-2-2-2222-2-200222220000-2-2-2-2-2-2-2-2-2-222222-2-2-2222000000000000000000000000-2-2-2-2-222222-222-2-2-222000000000000002-2000000000000
χ3722-2-222-12-2-2-21122-1-2-22-22-1-1-1-1-1-111-2-2111111112-1-1-1-122-11-2-222-2-222-1-1-1-1-1-1-1-1-2-2111111112-1-1-1-1-211112-22-2-1-1112-20000-1-1110000-11000000000000
χ3822-2-222-12-2-2-21122-1-2-22-22-1-1-1-1-1-111-2-2111111112-1-1-1-122-11-2-222-2-222-1-1-1-1-1-1-1-1-2-2111111112-1-1-1-1-21111-22-2211-1-1-22000011-1-100001-1000000000000
χ3922-2-222-12-2-2-21122-1-2-2-222-1-1-1-111-1-1-2-2111111112-1-1-1-122-11-2-2-2-222-2-21111111122-1-1-1-1-1-1-1-12-1-1-1-1-211112-22-2-1-111-22000011-1-10000-11000000000000
χ4022-2-222-12-2-2-21122-1-2-2-222-1-1-1-111-1-1-2-2111111112-1-1-1-122-11-2-2-2-222-2-21111111122-1-1-1-1-1-1-1-12-1-1-1-1-21111-22-2211-1-12-20000-1-11100001-1000000000000
χ4122-2-222-1-22-2-21122-1-2-2002-1-1-1-1−i3i3i3−i3-2-2111111112-1-1-1-1-2-21-122000000−i3−i3−i3−i3i3i3i3i300i3i3i3i3−i3−i3−i3−i3-211112-1-1-1-12-2-22-1-111000000−i3i3i3−i300001-1000000000000
χ4222-2-222-1-22-2-21122-1-2-2002-1-1-1-1−i3i3i3−i3-2-2111111112-1-1-1-1-2-21-122000000−i3−i3−i3−i3i3i3i3i300i3i3i3i3−i3−i3−i3−i3-211112-1-1-1-1-222-211-1-1000000i3−i3−i3i30000-11000000000000
χ4322-2-222-1-22-2-21122-1-2-2002-1-1-1-1i3−i3−i3i3-2-2111111112-1-1-1-1-2-21-122000000i3i3i3i3−i3−i3−i3−i300−i3−i3−i3−i3i3i3i3i3-211112-1-1-1-12-2-22-1-111000000i3−i3−i3i300001-1000000000000
χ4422-2-222-1-22-2-21122-1-2-2002-1-1-1-1i3−i3−i3i3-2-2111111112-1-1-1-1-2-21-122000000i3i3i3i3−i3−i3−i3−i300−i3−i3−i3−i3i3i3i3i3-211112-1-1-1-1-222-211-1-1000000−i3i3i3−i30000-11000000000000
χ4522-2-22-122-2-21-2-22-12-212-2-12-1-1-122-2-211-2-2111111-12-1-1-12-12-2-212-1-21-1-12-1-1-12-1-1-111-2111-2111-12-1-1-11-21110000000000002i−2i0000002i−2i000000−i−iii00−ii
χ4622-2-22-122-2-21-2-22-12-212-2-12-1-1-122-2-211-2-2111111-12-1-1-12-12-2-212-1-21-1-12-1-1-12-1-1-111-2111-2111-12-1-1-11-2111000000000000−2i2i000000−2i2i000000ii−i−i00i−i
χ4722-2-22-122-2-21-2-22-12-21-22-12-1-1-1-2-22211-2-2111111-12-1-1-12-12-2-21-212-111-2111-2111-1-12-1-1-12-1-1-1-12-1-1-11-21110000000000002i−2i000000−2i2i000000ii−i−i00−ii
χ4822-2-22-122-2-21-2-22-12-21-22-12-1-1-1-2-22211-2-2111111-12-1-1-12-12-2-21-212-111-2111-2111-1-12-1-1-12-1-1-1-12-1-1-11-2111000000000000−2i2i0000002i−2i000000−i−iii00i−i
χ4922-2-2-1222-21-2-2-2-1221-22-2-1-12-1-122-2-21111-2-21111-1-12-1-1-122-21-2-121-2-1-1-12-1-1-12-1-1111-2111-211-1-12-1-111-21100000000002i−2i0000002i−2i0000−i−iii0000−ii00
χ5022-2-2-1222-21-2-2-2-1221-22-2-1-12-1-122-2-21111-2-21111-1-12-1-1-122-21-2-121-2-1-1-12-1-1-12-1-1111-2111-211-1-12-1-111-2110000000000−2i2i000000−2i2i0000ii−i−i0000i−i00
χ5122-2-2-1222-21-2-2-2-1221-2-22-1-12-1-1-2-2221111-2-21111-1-12-1-1-122-21-21-2-12111-2111-211-1-1-12-1-1-12-1-1-1-12-1-111-21100000000002i−2i000000−2i2i0000ii−i−i0000−ii00
χ5222-2-2-1222-21-2-2-2-1221-2-22-1-12-1-1-2-2221111-2-21111-1-12-1-1-122-21-21-2-12111-2111-211-1-1-12-1-1-12-1-1-1-12-1-111-2110000000000−2i2i0000002i−2i0000−i−iii0000i−i00
χ5344444-24-4-44-2444-244-200-24-2-2-20000-2-244-2-2-2-2-2-2-24-2-2-2-42-4-4-420000000000000000000000002-42222-4222000000000000000000000000000000000000
χ5444444-2-2444-2-2-24-2-24-244-2-2111-2-2-2-2-2-2-2-2111111-2-21114-2-2-24-24-24-2-2-2-2111-2111-2-2-2111-2111-2-2111-2-2111000000000000000000000000000000000000
χ5544444-2-2444-2-2-24-2-24-2-4-4-2-21112222-2-2-2-2111111-2-21114-2-2-24-2-42-42222-1-1-12-1-1-1222-1-1-12-1-1-1-2-2111-2-2111000000000000000000000000000000000000
χ5644444-2-2-4-44-2-2-24-2-24-200-2-2111−2i32i3−2i32i3-2-2-2-2111111-2-2111-4222-42000000−2i3i3i3i32i3−i3−i3−i300−2i3i3i3i32i3−i3−i3−i322-1-1-122-1-1-1000000000000000000000000000000000000
χ5744444-2-2-4-44-2-2-24-2-24-200-2-21112i3−2i32i3−2i3-2-2-2-2111111-2-2111-4222-420000002i3−i3−i3−i3−2i3i3i3i3002i3−i3−i3−i3−2i3i3i3i322-1-1-122-1-1-1000000000000000000000000000000000000
χ584444-244-4-4-2444-244-2400-2-24-2-20000-2-2-2-244-2-2-2-2-2-24-2-22-4-4-42-400000000000000000000000022-42222-422000000000000000000000000000000000000
χ594444-24-244-24-2-2-24-2-2444-21-211-2-2-2-2-2-211-2-21111-21-211-24-2-2-24-24-24-2-21-2111-211-2-21-2111-211-21-211-21-211000000000000000000000000000000000000
χ604444-24-244-24-2-2-24-2-24-4-4-21-2112222-2-211-2-21111-21-211-24-2-2-242-42-422-12-1-1-12-1-122-12-1-1-12-1-1-21-211-21-211000000000000000000000000000000000000
χ614444-24-2-4-4-24-2-2-24-2-2400-21-211−2i32i3−2i32i3-2-211-2-21111-21-2112-4222-4000000i3−2i3i3i3−i32i3−i3−i300i3−2i3i3i3−i32i3−i3−i32-12-1-12-12-1-1000000000000000000000000000000000000
χ624444-24-2-4-4-24-2-2-24-2-2400-21-2112i3−2i32i3−2i3-2-211-2-21111-21-2112-4222-4000000−i32i3−i3−i3i3−2i3i3i300−i32i3−i3−i3i3−2i3i3i32-12-1-12-12-1-1000000000000000000000000000000000000
χ634444-2-2444-2-244-2-24-2-2441-2-211444411-2-2-2-211111-2-211-2-244-2-2-2-2-2-211-2-211-2-21111-2-211-2-2111-2-2111-2-211000000000000000000000000000000000000
χ644444-2-2444-2-244-2-24-2-2-4-41-2-211-4-4-4-411-2-2-2-211111-2-211-2-244-2-22222-1-122-1-122-1-1-1-122-1-122-1-11-2-2111-2-211000000000000000000000000000000000000
χ654444-2-24-4-4-2-244-2-24-2-2001-2-211000011-2-2-2-211111-2-21122-4-42200003-3003-3003-33-3003-3003-3-122-1-1-122-1-1000000000000000000000000000000000000
χ664444-2-24-4-4-2-244-2-24-2-2001-2-211000011-2-2-2-211111-2-21122-4-4220000-3300-3300-33-3300-3300-33-122-1-1-122-1-1000000000000000000000000000000000000
χ674444-2-2-244-2-2-2-2-2-2-2-2-244111−1−3i32−1+3i32-2-2-2-2111111−1−3i32−1−3i32−1+3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2-2-2-2-2-2-21111−1−3i32−1+3i3211−1+3i32−1−3i321111−1−3i32−1+3i3211−1+3i32−1−3i32111−1−3i32−1+3i32111−1−3i32−1+3i32000000000000000000000000000000000000
χ684444-2-2-244-2-2-2-2-2-2-2-2-244111−1+3i32−1−3i32-2-2-2-2111111−1+3i32−1+3i32−1−3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2-2-2-2-2-2-21111−1+3i32−1−3i3211−1−3i32−1+3i321111−1+3i32−1−3i3211−1−3i32−1+3i32111−1+3i32−1−3i32111−1+3i32−1−3i32000000000000000000000000000000000000
χ694444-2-2-244-2-2-2-2-2-2-2-2-2-4-4111−1−3i32−1+3i322222111111−1−3i32−1−3i32−1+3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2-2-22222-1-1-1-11+3i321−3i32-1-11−3i321+3i32-1-1-1-11+3i321−3i32-1-11−3i321+3i32111−1−3i32−1+3i32111−1−3i32−1+3i32000000000000000000000000000000000000
χ704444-2-2-244-2-2-2-2-2-2-2-2-2-4-4111−1+3i32−1−3i322222111111−1+3i32−1+3i32−1−3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2-2-22222-1-1-1-11−3i321+3i32-1-11+3i321−3i32-1-1-1-11−3i321+3i32-1-11+3i321−3i32111−1+3i32−1−3i32111−1+3i32−1−3i32000000000000000000000000000000000000
χ714444-2-2-2-4-4-2-2-2-2-2-2-2-2-200111−1−3i32−1+3i32−2i32i3−2i32i3111111−1−3i32−1−3i32−1+3i32−1+3i32111−1−3i32−1+3i3222222200003-3i3i3−3−i323−i32−i3−i3−3+i323+i323-3i3i3−3−i323−i32−i3−i3−3+i323+i32-1-1-11+3i321−3i32-1-1-11+3i321−3i32000000000000000000000000000000000000
χ724444-2-2-2-4-4-2-2-2-2-2-2-2-2-200111−1−3i32−1+3i322i3−2i32i3−2i3111111−1−3i32−1−3i32−1+3i32−1+3i32111−1−3i32−1+3i322222220000-33−i3−i33+i32−3+i32i3i33−i32−3−i32-33−i3−i33+i32−3+i32i3i33−i32−3−i32-1-1-11+3i321−3i32-1-1-11+3i321−3i32000000000000000000000000000000000000
χ734444-2-2-2-4-4-2-2-2-2-2-2-2-2-200111−1+3i32−1−3i32−2i32i3−2i32i3111111−1+3i32−1+3i32−1−3i32−1−3i32111−1+3i32−1−3i322222220000-33i3i33−i32−3−i32−i3−i33+i32−3+i32-33i3i33−i32−3−i32−i3−i33+i32−3+i32-1-1-11−3i321+3i32-1-1-11−3i321+3i32000000000000000000000000000000000000
χ744444-2-2-2-4-4-2-2-2-2-2-2-2-2-200111−1+3i32−1−3i322i3−2i32i3−2i3111111−1+3i32−1+3i32−1−3i32−1−3i32111−1+3i32−1−3i3222222200003-3−i3−i3−3+i323+i32i3i3−3−i323−i323-3−i3−i3−3+i323+i32i3i3−3−i323−i32-1-1-11−3i321+3i32-1-1-11−3i321+3i32000000000000000000000000000000000000
χ7544-4-44-24-44-42-4-44-24-4200-24-2-2-2000022-4-4222222-24-2-2-2-42-444-20000000000000000000000002-4222-24-2-2-2000000000000000000000000000000000000
χ7644-4-44-2-24-4-42224-2-2-424-4-2-2111-2-2222222-1-1-1-1-1-1-2-21114-2-22-424-2-42-2-2-2111-2111222-1-1-12-1-1-1-2-211122-1-1-1000000000000000000000000000000000000
χ7744-4-44-2-24-4-42224-2-2-42-44-2-211122-2-22222-1-1-1-1-1-1-2-21114-2-22-42-424-2222-1-1-12-1-1-1-2-2-2111-2111-2-211122-1-1-1000000000000000000000000000000000000
χ7844-4-44-2-2-44-42224-2-2-4200-2-2111−2i32i32i3−2i32222-1-1-1-1-1-1-2-2111-422-24-2000000−2i3i3i3i32i3−i3−i3−i3002i3−i3−i3−i3−2i3i3i3i322-1-1-1-2-2111000000000000000000000000000000000000
χ7944-4-44-2-2-44-42224-2-2-4200-2-21112i3−2i3−2i32i32222-1-1-1-1-1-1-2-2111-422-24-20000002i3−i3−i3−i3−2i3i3i3i300−2i3i3i3i32i3−i3−i3−i322-1-1-1-2-2111000000000000000000000000000000000000
χ8044-4-4-244-442-4-4-4-2442-400-2-24-2-200002222-4-42222-2-24-2-22-4-44-2400000000000000000000000022-422-2-24-2-2000000000000000000000000000000000000
χ8144-4-4-24-24-42-422-24-22-44-4-21-211-2-22222-1-122-1-1-1-1-21-211-24-222-4-242-4-2-21-2111-21122-12-1-1-12-1-1-21-2112-12-1-1000000000000000000000000000000000000
χ8244-4-4-24-24-42-422-24-22-4-44-21-21122-2-222-1-122-1-1-1-1-21-211-24-222-42-4-2422-12-1-1-12-1-1-2-21-2111-211-21-2112-12-1-1000000000000000000000000000000000000
χ8344-4-4-24-2-442-422-24-22-400-21-211−2i32i32i3−2i322-1-122-1-1-1-1-21-2112-42-2-24000000i3−2i3i3i3−i32i3−i3−i300−i32i3−i3−i3i3−2i3i3i32-12-1-1-21-211000000000000000000000000000000000000
χ8444-4-4-24-2-442-422-24-22-400-21-2112i3−2i3−2i32i322-1-122-1-1-1-1-21-2112-42-2-24000000−i32i3−i3−i3i3−2i3i3i300i3−2i3i3i3−i32i3−i3−i32-12-1-1-21-211000000000000000000000000000000000000
χ8544-4-4-2-244-422-4-4-2-24224-41-2-21144-4-4-1-12222-1-1-1-11-2-211-2-24-422-2-22211-2-211-2-211-1-122-1-122-1-11-2-211-122-1-1000000000000000000000000000000000000
χ8644-4-4-2-244-422-4-4-2-2422-441-2-211-4-444-1-12222-1-1-1-11-2-211-2-24-42222-2-2-1-122-1-122-1-111-2-211-2-2111-2-211-122-1-1000000000000000000000000000000000000
χ8744-4-4-2-24-4422-4-4-2-2422001-2-2110000-1-12222-1-1-1-11-2-21122-44-2-200003-3003-3003-3-3300-3300-33-122-1-11-2-211000000000000000000000000000000000000
χ8844-4-4-2-24-4422-4-4-2-2422001-2-2110000-1-12222-1-1-1-11-2-21122-44-2-20000-3300-3300-333-3003-3003-3-122-1-11-2-211000000000000000000000000000000000000
χ8944-4-4-2-2-24-42222-2-2-2224-4111−1−3i32−1+3i32-2-222-1-1-1-1-1-11+3i321+3i321−3i321−3i32111−1−3i32−1+3i32-2-2-2222-2-2221111−1−3i32−1+3i3211−1+3i32−1−3i32-1-1-1-11+3i321−3i32-1-11−3i321+3i32111−1−3i32−1+3i32-1-1-11+3i321−3i32000000000000000000000000000000000000
χ9044-4-4-2-2-24-42222-2-2-2224-4111−1+3i32−1−3i32-2-222-1-1-1-1-1-11−3i321−3i321+3i321+3i32111−1+3i32−1−3i32-2-2-2222-2-2221111−1+3i32−1−3i3211−1−3i32−1+3i32-1-1-1-11−3i321+3i32-1-11+3i321−3i32111−1+3i32−1−3i32-1-1-11−3i321+3i32000000000000000000000000000000000000
χ9144-4-4-2-2-24-42222-2-2-222-44111−1−3i32−1+3i3222-2-2-1-1-1-1-1-11+3i321+3i321−3i321−3i32111−1−3i32−1+3i32-2-2-222222-2-2-1-1-1-11+3i321−3i32-1-11−3i321+3i321111−1−3i32−1+3i3211−1+3i32−1−3i32111−1−3i32−1+3i32-1-1-11+3i321−3i32000000000000000000000000000000000000
χ9244-4-4-2-2-24-42222-2-2-222-44111−1+3i32−1−3i3222-2-2-1-1-1-1-1-11−3i321−3i321+3i321+3i32111−1+3i32−1−3i32-2-2-222222-2-2-1-1-1-11−3i321+3i32-1-11+3i321−3i321111−1+3i32−1−3i3211−1−3i32−1+3i32111−1+3i32−1−3i32-1-1-11−3i321+3i32000000000000000000000000000000000000
χ9344-4-4-2-2-2-442222-2-2-22200111−1−3i32−1+3i32−2i32i32i3−2i3-1-1-1-1-1-11+3i321+3i321−3i321−3i32111−1−3i32−1+3i32222-2-2-200003-3i3i3−3−i323−i32−i3−i3−3+i323+i32-33−i3−i33+i32−3+i32i3i33−i32−3−i32-1-1-11+3i321−3i32111−1−3i32−1+3i32000000000000000000000000000000000000
χ9444-4-4-2-2-2-442222-2-2-22200111−1−3i32−1+3i322i3−2i3−2i32i3-1-1-1-1-1-11+3i321+3i321−3i321−3i32111−1−3i32−1+3i32222-2-2-20000-33−i3−i33+i32−3+i32i3i33−i32−3−i323-3i3i3−3−i323−i32−i3−i3−3+i323+i32-1-1-11+3i321−3i32111−1−3i32−1+3i32000000000000000000000000000000000000
χ9544-4-4-2-2-2-442222-2-2-22200111−1+3i32−1−3i32−2i32i32i3−2i3-1-1-1-1-1-11−3i321−3i321+3i321+3i32111−1+3i32−1−3i32222-2-2-20000-33i3i33−i32−3−i32−i3−i33+i32−3+i323-3−i3−i3−3+i323+i32i3i3−3−i323−i32-1-1-11−3i321+3i32111−1+3i32−1−3i32000000000000000000000000000000000000
χ9644-4-4-2-2-2-442222-2-2-22200111−1+3i32−1−3i322i3−2i3−2i32i3-1-1-1-1-1-11−3i321−3i321+3i321+3i32111−1+3i32−1−3i32222-2-2-200003-3−i3−i3−3+i323+i32i3i3−3−i323−i32-33i3i33−i32−3−i32−i3−i33+i32−3+i32-1-1-11−3i321+3i32111−1+3i32−1−3i32000000000000000000000000000000000000
χ974-44-4444004-44-4-4-4-4-44004444400004-44-44-44-44-4-4-4-4-4-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ984-44-444-2004-4-22-4-42-44004-2-2-2-200004-4-22-22-22-22-4222200000000000000000000000000000000000000000000−2i32i3−2i32i30000000000000000000000000000
χ994-44-444-2004-4-22-4-42-44004-2-2-2-200004-4-22-22-22-22-42222000000000000000000000000000000000000000000002i3−2i32i3−2i30000000000000000000000000000
χ1004-44-44-2400424-4-42-4-4-200-24-2-2-20000-224-4-22-22-222-422200000000000000000000000000000000000000000000000000000000000000000000i6−i6i6−i60000
χ1014-44-44-2400424-4-42-4-4-200-24-2-2-20000-224-4-22-22-222-422200000000000000000000000000000000000000000000000000000000000000000000−i6i6−i6i60000
χ1024-44-4-24400-2-44-42-4-42400-2-24-2-20000-22-224-4-22-2222-42200000000000000000000000000000000000000000000000000000000000000006−66−600000000
χ1034-44-4-24400-2-44-42-4-42400-2-24-2-20000-22-224-4-22-2222-4220000000000000000000000000000000000000000000000000000000000000000−66−6600000000
χ1044-4-4444400-44-44-4-4-44-400444440000-44-44-44-44-44-4-4-4-4-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ1054-4-4444-200-442-2-4-424-4004-2-2-2-20000-442-22-22-22-2-4222200000000000000000000000000000000000000000000−2i32i32i3−2i30000000000000000000000000000
χ1064-4-4444-200-442-2-4-424-4004-2-2-2-20000-442-22-22-22-2-42222000000000000000000000000000000000000000000002i3−2i3−2i32i30000000000000000000000000000
χ1074-4-444-2400-4-2-44-42-44200-24-2-2-200002-2-442-22-22-22-4222000000000000000000000000000000000000000000000000000000000000000000006−6−660000
χ1084-4-444-2400-4-2-44-42-44200-24-2-2-200002-2-442-22-22-22-422200000000000000000000000000000000000000000000000000000000000000000000−666−60000
χ1094-4-44-2440024-442-4-4-2-400-2-24-2-200002-22-2-442-22-222-4220000000000000000000000000000000000000000000000000000000000000000i6−i6−i6i600000000
χ1104-4-44-2440024-442-4-4-2-400-2-24-2-200002-22-2-442-22-222-4220000000000000000000000000000000000000000000000000000000000000000−i6i6i6−i600000000
χ1118-88-88-4-40084-44-844-8-400-4-42220000-44-442-22-22-244-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8-48-400-4-8-444-844800-42-4220000-442-2-442-22-24-24-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-4-4800-448-844-84-4002-4-42200002-2-44-442-22-2-244-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-8-4-4-400-44-444444-400222−1−3i3−1+3i300002-22-22-2−1−3i31+3i3−1+3i31−3i3-2-2-21+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-88-8-4-4-400-44-444444-400222−1+3i3−1−3i300002-22-22-2−1+3i31−3i3−1−3i31+3i3-2-2-21−3i31+3i30000000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-888-4-400-8-44-4-8448400-4-422200004-44-4-22-22-2244-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1178-8-88-48-400484-44-84-4-800-42-42200004-4-224-4-22-224-24-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1188-8-88-4-48004-4-8844-8-44002-4-4220000-224-44-4-22-22-244-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-8-88-4-4-4004-44-4444-4400222−1−3i3−1+3i30000-22-22-221+3i3−1−3i31−3i3−1+3i3-2-2-21+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-8-88-4-4-4004-44-4444-4400222−1+3i3−1−3i30000-22-22-221−3i3−1+3i31+3i3−1−3i3-2-2-21−3i31+3i30000000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).