Finite Group Databasebeta

← Group #13180897

Character table — Group #13180897

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size11222224444666688888888881212181824242424224444488881212121216161616161616161616242436364848484833666661212121218181818242424242424242424243636545472727272
order1223666336624443366666666121224661212366366633666121212336666666612126126612122226666666624446666666666121224661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111-111-1111111111111-1-1-1-1-1-111111111111-111-1111111111111-1-1-1-1-1-111111111111-111-1111111111111-1-1-1-1-1-1
χ31111111−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1−i321111111−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1−i321111111−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1−i32
χ41111111−1+i32−1−i32−1+i32−1−i32-111-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211-1-11−i321+i321−i321+i321111111−1+i32−1−i32−1+i32−1−i32-111-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211-1-11−i321+i321−i321+i321111111−1+i32−1−i32−1+i32−1−i32-111-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211-1-11−i321+i321−i321+i32
χ51111111−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i321111111−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i321111111−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i32
χ61111111−1−i32−1+i32−1−i32−1+i32-111-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211-1-11+i321−i321+i321−i321111111−1−i32−1+i32−1−i32−1+i32-111-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211-1-11+i321−i321+i321−i321111111−1−i32−1+i32−1−i32−1+i32-111-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211-1-11+i321−i321+i321−i32
χ711-11-1-11111111-1-111-1-11-1-11-1-11-1-1111-1-111-11-1-11111111-1-111-1-11-1-11-1-11-1-1111-1-111-11-1-11111111-1-111-1-11-1-11-1-11-1-1111-1-1
χ811-11-1-111111-11-1111-1-11-1-11-1-11-11-1-1-11111-11-1-111111-11-1111-1-11-1-11-1-11-11-1-1-11111-11-1-111111-11-1111-1-11-1-11-1-11-11-1-1-111
χ911-11-1-11−1+i32−1−i32−1+i32−1−i3211-1-1−1+i32−1−i321−i321+i32−1+i321−i321−i32−1−i321+i321+i321-1-11−1+i32−1−i321−i321+i3211-11-1-11−1+i32−1−i32−1+i32−1−i3211-1-1−1+i32−1−i321−i321+i32−1+i321−i321−i32−1−i321+i321+i321-1-11−1+i32−1−i321−i321+i3211-11-1-11−1+i32−1−i32−1+i32−1−i3211-1-1−1+i32−1−i321−i321+i32−1+i321−i321−i32−1−i321+i321+i321-1-11−1+i32−1−i321−i321+i32
χ1011-11-1-11−1+i32−1−i32−1+i32−1−i32-11-11−1+i32−1−i321−i321+i32−1+i321−i321−i32−1−i321+i321+i321-11-11−i321+i32−1+i32−1−i3211-11-1-11−1+i32−1−i32−1+i32−1−i32-11-11−1+i32−1−i321−i321+i32−1+i321−i321−i32−1−i321+i321+i321-11-11−i321+i32−1+i32−1−i3211-11-1-11−1+i32−1−i32−1+i32−1−i32-11-11−1+i32−1−i321−i321+i32−1+i321−i321−i32−1−i321+i321+i321-11-11−i321+i32−1+i32−1−i32
χ1111-11-1-11−1−i32−1+i32−1−i32−1+i3211-1-1−1−i32−1+i321+i321−i32−1−i321+i321+i32−1+i321−i321−i321-1-11−1−i32−1+i321+i321−i3211-11-1-11−1−i32−1+i32−1−i32−1+i3211-1-1−1−i32−1+i321+i321−i32−1−i321+i321+i32−1+i321−i321−i321-1-11−1−i32−1+i321+i321−i3211-11-1-11−1−i32−1+i32−1−i32−1+i3211-1-1−1−i32−1+i321+i321−i32−1−i321+i321+i32−1+i321−i321−i321-1-11−1−i32−1+i321+i321−i32
χ1211-11-1-11−1−i32−1+i32−1−i32−1+i32-11-11−1−i32−1+i321+i321−i32−1−i321+i321+i32−1+i321−i321−i321-11-11+i321−i32−1−i32−1+i3211-11-1-11−1−i32−1+i32−1−i32−1+i32-11-11−1−i32−1+i321+i321−i32−1−i321+i321+i32−1+i321−i321−i321-11-11+i321−i32−1−i32−1+i3211-11-1-11−1−i32−1+i32−1−i32−1+i32-11-11−1−i32−1+i321+i321−i32−1−i321+i321+i32−1+i321−i321−i321-11-11+i321−i32−1−i32−1+i32
χ13222-1-1-1-122220220-1-122-1-1-1-1-1-1-1-1000000222-1-1-1-122220220-1-122-1-1-1-1-1-1-1-1000000222-1-1-1-122220220-1-122-1-1-1-1-1-1-1-1000000
χ14222-1-1-1-1−1+i3−1−i3−1+i3−1−i302201−i321+i32−1+i3−1−i31−i321−i321−i321+i321+i321+i32-1-1000000222-1-1-1-1−1+i3−1−i3−1+i3−1−i302201−i321+i32−1+i3−1−i31−i321−i321−i321+i321+i321+i32-1-1000000222-1-1-1-1−1+i3−1−i3−1+i3−1−i302201−i321+i32−1+i3−1−i31−i321−i321−i321+i321+i321+i32-1-1000000
χ15222-1-1-1-1−1−i3−1+i3−1−i3−1+i302201+i321−i32−1−i3−1+i31+i321+i321+i321−i321−i321−i32-1-1000000222-1-1-1-1−1−i3−1+i3−1−i3−1+i302201+i321−i32−1−i3−1+i31+i321+i321+i321−i321−i321−i32-1-1000000222-1-1-1-1−1−i3−1+i3−1−i3−1+i302201+i321−i32−1−i3−1+i31+i321+i321+i321−i321−i321−i32-1-1000000
χ1622-2-111-1222202-20-1-1-2-2-111-111-1100000022-2-111-1222202-20-1-1-2-2-111-111-1100000022-2-111-1222202-20-1-1-2-2-111-111-11000000
χ1722-2-111-1−1+i3−1−i3−1+i3−1−i302-201−i321+i321−i31+i31−i32−1+i32−1+i321+i32−1−i32−1−i32-1100000022-2-111-1−1+i3−1−i3−1+i3−1−i302-201−i321+i321−i31+i31−i32−1+i32−1+i321+i32−1−i32−1−i32-1100000022-2-111-1−1+i3−1−i3−1+i3−1−i302-201−i321+i321−i31+i31−i32−1+i32−1+i321+i32−1−i32−1−i32-11000000
χ1822-2-111-1−1−i3−1+i3−1−i3−1+i302-201+i321−i321+i31−i31+i32−1−i32−1−i321−i32−1+i32−1+i32-1100000022-2-111-1−1−i3−1+i3−1−i3−1+i302-201+i321−i321+i31−i31+i32−1−i32−1−i321−i32−1+i32−1+i32-1100000022-2-111-1−1−i3−1+i3−1−i3−1+i302-201+i321−i321+i31−i31+i32−1−i32−1−i321−i32−1+i32−1+i32-11000000
χ19333333300003-1-130000000000-1-1-1-10000333333300003-1-130000000000-1-1-1-10000333333300003-1-130000000000-1-1-1-10000
χ2033333330000-3-1-1-30000000000-1-111000033333330000-3-1-1-30000000000-1-111000033333330000-3-1-1-30000000000-1-1110000
χ2133-33-3-3300003-11-30000000000-111-1000033-33-3-3300003-11-30000000000-111-1000033-33-3-3300003-11-30000000000-111-10000
χ2233-33-3-330000-3-1130000000000-11-11000033-33-3-330000-3-1130000000000-11-11000033-33-3-330000-3-1130000000000-11-110000
χ234-40400-4-2-2220000-2-200200200000000004-40400-4-2-2220000-2-200200200000000004-40400-4-2-2220000-2-20020020000000000
χ244-40400-41−i31+i3−1+i3−1−i300001−i31+i300−1+i300−1−i300000000004-40400-41−i31+i3−1+i3−1−i300001−i31+i300−1+i300−1−i300000000004-40400-41−i31+i3−1+i3−1−i300001−i31+i300−1+i300−1−i30000000000
χ254-40400-41+i31−i3−1−i3−1+i300001+i31−i300−1−i300−1+i300000000004-40400-41+i31−i3−1−i3−1+i300001+i31−i300−1−i300−1+i300000000004-40400-41+i31−i3−1−i3−1+i300001+i31−i300−1−i300−1+i30000000000
χ264-40-22i3−2i32-2-22200001100-1i3−i3-1i3−i3000000004-40-22i3−2i32-2-22200001100-1i3−i3-1i3−i3000000004-40-22i3−2i32-2-22200001100-1i3−i3-1i3−i300000000
χ274-40-22i3−2i321−i31+i3−1+i3−1−i30000−1+i32−1−i32001−i32−3−i323+i321+i323−i32−3+i32000000004-40-22i3−2i321−i31+i3−1+i3−1−i30000−1+i32−1−i32001−i32−3−i323+i321+i323−i32−3+i32000000004-40-22i3−2i321−i31+i3−1+i3−1−i30000−1+i32−1−i32001−i32−3−i323+i321+i323−i32−3+i3200000000
χ284-40-22i3−2i321+i31−i3−1−i3−1+i30000−1−i32−1+i32001+i323−i32−3+i321−i32−3−i323+i32000000004-40-22i3−2i321+i31−i3−1−i3−1+i30000−1−i32−1+i32001+i323−i32−3+i321−i32−3−i323+i32000000004-40-22i3−2i321+i31−i3−1−i3−1+i30000−1−i32−1+i32001+i323−i32−3+i321−i32−3−i323+i3200000000
χ294-40-2−2i32i32-2-22200001100-1−i3i3-1−i3i3000000004-40-2−2i32i32-2-22200001100-1−i3i3-1−i3i3000000004-40-2−2i32i32-2-22200001100-1−i3i3-1−i3i300000000
χ304-40-2−2i32i321−i31+i3−1+i3−1−i30000−1+i32−1−i32001−i323+i32−3−i321+i32−3+i323−i32000000004-40-2−2i32i321−i31+i3−1+i3−1−i30000−1+i32−1−i32001−i323+i32−3−i321+i32−3+i323−i32000000004-40-2−2i32i321−i31+i3−1+i3−1−i30000−1+i32−1−i32001−i323+i32−3−i321+i32−3+i323−i3200000000
χ314-40-2−2i32i321+i31−i3−1−i3−1+i30000−1−i32−1+i32001+i32−3+i323−i321−i323+i32−3−i32000000004-40-2−2i32i321+i31−i3−1−i3−1+i30000−1−i32−1+i32001+i32−3+i323−i321−i323+i32−3−i32000000004-40-2−2i32i321+i31−i3−1−i3−1+i30000−1−i32−1+i32001+i32−3+i323−i321−i323+i32−3−i3200000000
χ32666-3-3-3-300000-2-20000000000011000000666-3-3-3-300000-2-20000000000011000000666-3-3-3-300000-2-20000000000011000000
χ3366-6-333-300000-22000000000001-100000066-6-333-300000-22000000000001-100000066-6-333-300000-22000000000001-1000000
χ34111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3511111111111-111-1111111111111-1-1-1-1-1-111111111111-111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111
χ361111111−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1−i321111111−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-11−i321+i321−i321+i321−i321−i321−i321+i321+i321+i32-1-1-1-11−i321+i321−i321+i32
χ371111111−1+i32−1−i32−1+i32−1−i32-111-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211-1-11−i321+i321−i321+i321111111−1+i32−1−i32−1+i32−1−i32-111-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211-1-11−i321+i321−i321+i32-1-1-1-1-1-1-11−i321+i321−i321+i321-1-111−i321+i321−i321+i321−i321−i321−i321+i321+i321+i32-1-111−1+i32−1−i32−1+i32−1−i32
χ381111111−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i321111111−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-11+i321−i321+i321−i321+i321+i321+i321−i321−i321−i32-1-1-1-11+i321−i321+i321−i32
χ391111111−1−i32−1+i32−1−i32−1+i32-111-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211-1-11+i321−i321+i321−i321111111−1−i32−1+i32−1−i32−1+i32-111-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211-1-11+i321−i321+i321−i32-1-1-1-1-1-1-11+i321−i321+i321−i321-1-111+i321−i321+i321−i321+i321+i321+i321−i321−i321−i32-1-111−1−i32−1+i32−1−i32−1+i32
χ4011-11-1-11111111-1-111-1-11-1-11-1-11-1-1111-1-111-11-1-11111111-1-111-1-11-1-11-1-11-1-1111-1-1-1-11-111-1-1-1-1-1-1-111-1-111-111-111-111-1-1-111
χ4111-11-1-111111-11-1111-1-11-1-11-1-11-11-1-1-11111-11-1-111111-11-1111-1-11-1-11-1-11-11-1-1-111-1-11-111-1-1-1-1-11-11-1-1-111-111-111-11-1111-1-1
χ4211-11-1-11−1+i32−1−i32−1+i32−1−i3211-1-1−1+i32−1−i321−i321+i32−1+i321−i321−i32−1−i321+i321+i321-1-11−1+i32−1−i321−i321+i3211-11-1-11−1+i32−1−i32−1+i32−1−i3211-1-1−1+i32−1−i321−i321+i32−1+i321−i321−i32−1−i321+i321+i321-1-11−1+i32−1−i321−i321+i32-1-11-111-11−i321+i321−i321+i32-1-1111−i321+i32−1+i32−1−i321−i32−1+i32−1+i321+i32−1−i32−1−i32-111-11−i321+i32−1+i32−1−i32
χ4311-11-1-11−1+i32−1−i32−1+i32−1−i32-11-11−1+i32−1−i321−i321+i32−1+i321−i321−i32−1−i321+i321+i321-11-11−i321+i32−1+i32−1−i3211-11-1-11−1+i32−1−i32−1+i32−1−i32-11-11−1+i32−1−i321−i321+i32−1+i321−i321−i32−1−i321+i321+i321-11-11−i321+i32−1+i32−1−i32-1-11-111-11−i321+i321−i321+i321-11-11−i321+i32−1+i32−1−i321−i32−1+i32−1+i321+i32−1−i32−1−i32-11-11−1+i32−1−i321−i321+i32
χ4411-11-1-11−1−i32−1+i32−1−i32−1+i3211-1-1−1−i32−1+i321+i321−i32−1−i321+i321+i32−1+i321−i321−i321-1-11−1−i32−1+i321+i321−i3211-11-1-11−1−i32−1+i32−1−i32−1+i3211-1-1−1−i32−1+i321+i321−i32−1−i321+i321+i32−1+i321−i321−i321-1-11−1−i32−1+i321+i321−i32-1-11-111-11+i321−i321+i321−i32-1-1111+i321−i32−1−i32−1+i321+i32−1−i32−1−i321−i32−1+i32−1+i32-111-11+i321−i32−1−i32−1+i32
χ4511-11-1-11−1−i32−1+i32−1−i32−1+i32-11-11−1−i32−1+i321+i321−i32−1−i321+i321+i32−1+i321−i321−i321-11-11+i321−i32−1−i32−1+i3211-11-1-11−1−i32−1+i32−1−i32−1+i32-11-11−1−i32−1+i321+i321−i32−1−i321+i321+i32−1+i321−i321−i321-11-11+i321−i32−1−i32−1+i32-1-11-111-11+i321−i321+i321−i321-11-11+i321−i32−1−i32−1+i321+i32−1−i32−1−i321−i32−1+i32−1+i32-11-11−1−i32−1+i321+i321−i32
χ46222-1-1-1-122220220-1-122-1-1-1-1-1-1-1-1000000222-1-1-1-122220220-1-122-1-1-1-1-1-1-1-1000000-2-2-21111-2-2-2-20-2-2011-2-211111111000000
χ47222-1-1-1-1−1+i3−1−i3−1+i3−1−i302201−i321+i32−1+i3−1−i31−i321−i321−i321+i321+i321+i32-1-1000000222-1-1-1-1−1+i3−1−i3−1+i3−1−i302201−i321+i32−1+i3−1−i31−i321−i321−i321+i321+i321+i32-1-1000000-2-2-211111−i31+i31−i31+i30-2-20−1+i32−1−i321−i31+i3−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211000000
χ48222-1-1-1-1−1−i3−1+i3−1−i3−1+i302201+i321−i32−1−i3−1+i31+i321+i321+i321−i321−i321−i32-1-1000000222-1-1-1-1−1−i3−1+i3−1−i3−1+i302201+i321−i32−1−i3−1+i31+i321+i321+i321−i321−i321−i32-1-1000000-2-2-211111+i31−i31+i31−i30-2-20−1−i32−1+i321+i31−i3−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211000000
χ4922-2-111-1222202-20-1-1-2-2-111-111-1100000022-2-111-1222202-20-1-1-2-2-111-111-11000000-2-221-1-11-2-2-2-20-22011221-1-11-1-11-1000000
χ5022-2-111-1−1+i3−1−i3−1+i3−1−i302-201−i321+i321−i31+i31−i32−1+i32−1+i321+i32−1−i32−1−i32-1100000022-2-111-1−1+i3−1−i3−1+i3−1−i302-201−i321+i321−i31+i31−i32−1+i32−1+i321+i32−1−i32−1−i32-11000000-2-221-1-111−i31+i31−i31+i30-220−1+i32−1−i32−1+i3−1−i3−1+i321−i321−i32−1−i321+i321+i321-1000000
χ5122-2-111-1−1−i3−1+i3−1−i3−1+i302-201+i321−i321+i31−i31+i32−1−i32−1−i321−i32−1+i32−1+i32-1100000022-2-111-1−1−i3−1+i3−1−i3−1+i302-201+i321−i321+i31−i31+i32−1−i32−1−i321−i32−1+i32−1+i32-11000000-2-221-1-111+i31−i31+i31−i30-220−1−i32−1+i32−1−i3−1+i3−1−i321+i321+i32−1+i321−i321−i321-1000000
χ52333333300003-1-130000000000-1-1-1-10000333333300003-1-130000000000-1-1-1-10000-3-3-3-3-3-3-30000-311-3000000000011110000
χ5333333330000-3-1-1-30000000000-1-111000033333330000-3-1-1-30000000000-1-1110000-3-3-3-3-3-3-300003113000000000011-1-10000
χ5433-33-3-3300003-11-30000000000-111-1000033-33-3-3300003-11-30000000000-111-10000-3-33-333-30000-31-1300000000001-1-110000
χ5533-33-3-330000-3-1130000000000-11-11000033-33-3-330000-3-1130000000000-11-110000-3-33-333-3000031-1-300000000001-11-10000
χ564-40400-4-2-2220000-2-200200200000000004-40400-4-2-2220000-2-20020020000000000-440-400422-2-200002200-200-20000000000
χ574-40400-41−i31+i3−1+i3−1−i300001−i31+i300−1+i300−1−i300000000004-40400-41−i31+i3−1+i3−1−i300001−i31+i300−1+i300−1−i30000000000-440-4004−1+i3−1−i31−i31+i30000−1+i3−1−i3001−i3001+i30000000000
χ584-40400-41+i31−i3−1−i3−1+i300001+i31−i300−1−i300−1+i300000000004-40400-41+i31−i3−1−i3−1+i300001+i31−i300−1−i300−1+i30000000000-440-4004−1−i3−1+i31+i31−i30000−1−i3−1+i3001+i3001−i30000000000
χ594-40-22i3−2i32-2-22200001100-1i3−i3-1i3−i3000000004-40-22i3−2i32-2-22200001100-1i3−i3-1i3−i300000000-4402−2i32i3-222-2-20000-1-1001−i3i31−i3i300000000
χ604-40-22i3−2i321−i31+i3−1+i3−1−i30000−1+i32−1−i32001−i32−3−i323+i321+i323−i32−3+i32000000004-40-22i3−2i321−i31+i3−1+i3−1−i30000−1+i32−1−i32001−i32−3−i323+i321+i323−i32−3+i3200000000-4402−2i32i3-2−1+i3−1−i31−i31+i300001−i321+i3200−1+i323+i32−3−i32−1−i32−3+i323−i3200000000
χ614-40-22i3−2i321+i31−i3−1−i3−1+i30000−1−i32−1+i32001+i323−i32−3+i321−i32−3−i323+i32000000004-40-22i3−2i321+i31−i3−1−i3−1+i30000−1−i32−1+i32001+i323−i32−3+i321−i32−3−i323+i3200000000-4402−2i32i3-2−1−i3−1+i31+i31−i300001+i321−i3200−1−i32−3+i323−i32−1+i323+i32−3−i3200000000
χ624-40-2−2i32i32-2-22200001100-1−i3i3-1−i3i3000000004-40-2−2i32i32-2-22200001100-1−i3i3-1−i3i300000000-44022i3−2i3-222-2-20000-1-1001i3−i31i3−i300000000
χ634-40-2−2i32i321−i31+i3−1+i3−1−i30000−1+i32−1−i32001−i323+i32−3−i321+i32−3+i323−i32000000004-40-2−2i32i321−i31+i3−1+i3−1−i30000−1+i32−1−i32001−i323+i32−3−i321+i32−3+i323−i3200000000-44022i3−2i3-2−1+i3−1−i31−i31+i300001−i321+i3200−1+i32−3−i323+i32−1−i323−i32−3+i3200000000
χ644-40-2−2i32i321+i31−i3−1−i3−1+i30000−1−i32−1+i32001+i32−3+i323−i321−i323+i32−3−i32000000004-40-2−2i32i321+i31−i3−1−i3−1+i30000−1−i32−1+i32001+i32−3+i323−i321−i323+i32−3−i3200000000-44022i3−2i3-2−1−i3−1+i31+i31−i300001+i321−i3200−1−i323−i32−3+i32−1+i32−3−i323+i3200000000
χ65666-3-3-3-300000-2-20000000000011000000666-3-3-3-300000-2-20000000000011000000-6-6-63333000002200000000000-1-1000000
χ6666-6-333-300000-22000000000001-100000066-6-333-300000-22000000000001-1000000-6-663-3-33000002-200000000000-11000000
χ67222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000
χ6822222222222-222-2222222222222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111000000000000000000000000000000000
χ692222222−1+i3−1−i3−1+i3−1−i32222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32222−1+i3−1−i3−1+i3−1−i3-1-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-11−i321+i321−i321+i321−i321−i321−i321+i321+i321+i32-1-1-1-11−i321+i321−i321+i32000000000000000000000000000000000
χ702222222−1+i3−1−i3−1+i3−1−i3-222-2−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322-2-21−i31+i31−i31+i3-1-1-1-1-1-1-11−i321+i321−i321+i321-1-111−i321+i321−i321+i321−i321−i321−i321+i321+i321+i32-1-111−1+i32−1−i32−1+i32−1−i32000000000000000000000000000000000
χ712222222−1−i3−1+i3−1−i3−1+i32222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32222−1−i3−1+i3−1−i3−1+i3-1-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-11+i321−i321+i321−i321+i321+i321+i321−i321−i321−i32-1-1-1-11+i321−i321+i321−i32000000000000000000000000000000000
χ722222222−1−i3−1+i3−1−i3−1+i3-222-2−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322-2-21+i31−i31+i31−i3-1-1-1-1-1-1-11+i321−i321+i321−i321-1-111+i321−i321+i321−i321+i321+i321+i321−i321−i321−i32-1-111−1−i32−1+i32−1−i32−1+i32000000000000000000000000000000000
χ7322-22-2-22222222-2-222-2-22-2-22-2-22-2-2222-2-2-1-11-111-1-1-1-1-1-1-111-1-111-111-111-111-1-1-111000000000000000000000000000000000
χ7422-22-2-222222-22-2222-2-22-2-22-2-22-22-2-2-222-1-11-111-1-1-1-1-11-11-1-1-111-111-111-11-1111-1-1000000000000000000000000000000000
χ7522-22-2-22−1+i3−1−i3−1+i3−1−i322-2-2−1+i3−1−i31−i31+i3−1+i31−i31−i3−1−i31+i31+i32-2-22−1+i3−1−i31−i31+i3-1-11-111-11−i321+i321−i321+i32-1-1111−i321+i32−1+i32−1−i321−i32−1+i32−1+i321+i32−1−i32−1−i32-111-11−i321+i32−1+i32−1−i32000000000000000000000000000000000
χ7622-22-2-22−1+i3−1−i3−1+i3−1−i3-22-22−1+i3−1−i31−i31+i3−1+i31−i31−i3−1−i31+i31+i32-22-21−i31+i3−1+i3−1−i3-1-11-111-11−i321+i321−i321+i321-11-11−i321+i32−1+i32−1−i321−i32−1+i32−1+i321+i32−1−i32−1−i32-11-11−1+i32−1−i321−i321+i32000000000000000000000000000000000
χ7722-22-2-22−1−i3−1+i3−1−i3−1+i322-2-2−1−i3−1+i31+i31−i3−1−i31+i31+i3−1+i31−i31−i32-2-22−1−i3−1+i31+i31−i3-1-11-111-11+i321−i321+i321−i32-1-1111+i321−i32−1−i32−1+i321+i32−1−i32−1−i321−i32−1+i32−1+i32-111-11+i321−i32−1−i32−1+i32000000000000000000000000000000000
χ7822-22-2-22−1−i3−1+i3−1−i3−1+i3-22-22−1−i3−1+i31+i31−i3−1−i31+i31+i3−1+i31−i31−i32-22-21+i31−i3−1−i3−1+i3-1-11-111-11+i321−i321+i321−i321-11-11+i321−i32−1−i32−1+i321+i32−1−i32−1−i321−i32−1+i32−1+i32-11-11−1−i32−1+i321+i321−i32000000000000000000000000000000000
χ79444-2-2-2-244440440-2-244-2-2-2-2-2-2-2-2000000-2-2-21111-2-2-2-20-2-2011-2-211111111000000000000000000000000000000000000000
χ80444-2-2-2-2−2+2i3−2−2i3−2+2i3−2−2i304401−i31+i3−2+2i3−2−2i31−i31−i31−i31+i31+i31+i3-2-2000000-2-2-211111−i31+i31−i31+i30-2-20−1+i32−1−i321−i31+i3−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211000000000000000000000000000000000000000
χ81444-2-2-2-2−2−2i3−2+2i3−2−2i3−2+2i304401+i31−i3−2−2i3−2+2i31+i31+i31+i31−i31−i31−i3-2-2000000-2-2-211111+i31−i31+i31−i30-2-20−1−i32−1+i321+i31−i3−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211000000000000000000000000000000000000000
χ8244-4-222-2444404-40-2-2-4-4-222-222-22000000-2-221-1-11-2-2-2-20-22011221-1-11-1-11-1000000000000000000000000000000000000000
χ8344-4-222-2−2+2i3−2−2i3−2+2i3−2−2i304-401−i31+i32−2i32+2i31−i3−1+i3−1+i31+i3−1−i3−1−i3-22000000-2-221-1-111−i31+i31−i31+i30-220−1+i32−1−i32−1+i3−1−i3−1+i321−i321−i32−1−i321+i321+i321-1000000000000000000000000000000000000000
χ8444-4-222-2−2−2i3−2+2i3−2−2i3−2+2i304-401+i31−i32+2i32−2i31+i3−1−i3−1−i31−i3−1+i3−1+i3-22000000-2-221-1-111+i31−i31+i31−i30-220−1−i32−1+i32−1−i3−1+i3−1−i321+i321+i32−1+i321−i321−i321-1000000000000000000000000000000000000000
χ85666666600006-2-260000000000-2-2-2-20000-3-3-3-3-3-3-30000-311-3000000000011110000000000000000000000000000000000000
χ8666666660000-6-2-2-60000000000-2-2220000-3-3-3-3-3-3-300003113000000000011-1-10000000000000000000000000000000000000
χ8766-66-6-6600006-22-60000000000-222-20000-3-33-333-30000-31-1300000000001-1-110000000000000000000000000000000000000
χ8866-66-6-660000-6-2260000000000-22-220000-3-33-333-3000031-1-300000000001-11-10000000000000000000000000000000000000
χ898-80800-8-4-4440000-4-40040040000000000-440-400422-2-200002200-200-20000000000000000000000000000000000000000000
χ908-80800-82−2i32+2i3−2+2i3−2−2i300002−2i32+2i300−2+2i300−2−2i30000000000-440-4004−1+i3−1−i31−i31+i30000−1+i3−1−i3001−i3001+i30000000000000000000000000000000000000000000
χ918-80800-82+2i32−2i3−2−2i3−2+2i300002+2i32−2i300−2−2i300−2+2i30000000000-440-4004−1−i3−1+i31+i31−i30000−1−i3−1+i3001+i3001−i30000000000000000000000000000000000000000000
χ928-80-44i3−4i34-4-44400002200-22i3−2i3-22i3−2i300000000-4402−2i32i3-222-2-20000-1-1001−i3i31−i3i300000000000000000000000000000000000000000
χ938-80-44i3−4i342−2i32+2i3−2+2i3−2−2i30000−1+i3−1−i3001−i3−3−i33+i31+i33−i3−3+i300000000-4402−2i32i3-2−1+i3−1−i31−i31+i300001−i321+i3200−1+i323+i32−3−i32−1−i32−3+i323−i3200000000000000000000000000000000000000000
χ948-80-44i3−4i342+2i32−2i3−2−2i3−2+2i30000−1−i3−1+i3001+i33−i3−3+i31−i3−3−i33+i300000000-4402−2i32i3-2−1−i3−1+i31+i31−i300001+i321−i3200−1−i32−3+i323−i32−1+i323+i32−3−i3200000000000000000000000000000000000000000
χ958-80-4−4i34i34-4-44400002200-2−2i32i3-2−2i32i300000000-44022i3−2i3-222-2-20000-1-1001i3−i31i3−i300000000000000000000000000000000000000000
χ968-80-4−4i34i342−2i32+2i3−2+2i3−2−2i30000−1+i3−1−i3001−i33+i3−3−i31+i3−3+i33−i300000000-44022i3−2i3-2−1+i3−1−i31−i31+i300001−i321+i3200−1+i32−3−i323+i32−1−i323−i32−3+i3200000000000000000000000000000000000000000
χ978-80-4−4i34i342+2i32−2i3−2−2i3−2+2i30000−1−i3−1+i3001+i3−3+i33−i31−i33+i3−3−i300000000-44022i3−2i3-2−1−i3−1+i31+i31−i300001+i321−i3200−1−i323−i32−3+i32−1+i32−3−i323+i3200000000000000000000000000000000000000000
χ98121212-6-6-6-600000-4-40000000000022000000-6-6-63333000002200000000000-1-1000000000000000000000000000000000000000
χ991212-12-666-600000-44000000000002-2000000-6-663-3-33000002-200000000000-11000000000000000000000000000000000000000

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