Finite Group Databasebeta

← Group #13150601

Character table — Group #13150601

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size111122222222226666666699991212121212121212121212121818181818181818181818181818181818183636363636363636111122222222226666666699991212121212121212121212121818181818181818181818181818181818183636363636363636
order124423466612121212336612121212224436666612121212121224666688888888121212122424242424242424224426466612121212666612121212224466666612121212121224666688888888121212122424242424242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ51111-11-1-1-1111-1-11111111111111-1-1-1-11-1-111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-11111-11-1-1-1111-1-11111111111111-1-1-1-11-1-111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-1
χ61111-11-1-1-1111-1-11111111111111-1-1-1-11-1-111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-1111111-11-1-1-1111-1-11111111111111-1-1-1-11-1-111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-111
χ71111-11-1-1-1111-1-111111111-1-1-1-11-1-1-1-11-1-111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1111111-11-1-1-1111-1-111111111-1-1-1-11-1-1-1-11-1-111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-111
χ81111-11-1-1-1111-1-111111111-1-1-1-11-1-1-1-11-1-111-1-111-1-111-1-11111-1-1-1-111-1-11111-1-11111-11-1-1-1111-1-111111111-1-1-1-11-1-1-1-11-1-111-1-111-1-111-1-11111-1-1-1-111-1-11111-1-1
χ911-1-111-1111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-11-11111i−ii−ii−ii−i-1-1-1-1i−ii−ii−ii−i11-1-111-1111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-11-11111i−ii−ii−ii−i-1-1-1-1i−ii−ii−ii−i
χ1011-1-111-1111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-11-11111−ii−ii−ii−ii-1-1-1-1−ii−ii−ii−ii11-1-111-1111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-11-11111−ii−ii−ii−ii-1-1-1-1−ii−ii−ii−ii
χ1111-1-111-1111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-11-1-1-1-1i−ii−i−ii−ii1111i−ii−i−ii−ii11-1-111-1111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-11-1-1-1-1i−ii−i−ii−ii1111i−ii−i−ii−ii
χ1211-1-111-1111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-11-1-1-1-1−ii−iii−ii−i1111−ii−iii−ii−i11-1-111-1111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-11-1-1-1-1−ii−iii−ii−i1111−ii−iii−ii−i
χ1311-1-1-111-1-11-1-1111111-1-1-1-111-1-11-1-1-1-1111-1-111-1111-1-1i−i−iii−i−ii-1-111i−i−iii−i−ii11-1-1-111-1-11-1-1111111-1-1-1-111-1-11-1-1-1-1111-1-111-1111-1-1i−i−iii−i−ii-1-111i−i−iii−i−ii
χ1411-1-1-111-1-11-1-1111111-1-1-1-111-1-11-1-1-1-1111-1-111-1111-1-1−iii−i−iii−i-1-111−iii−i−iii−i11-1-1-111-1-11-1-1111111-1-1-1-111-1-11-1-1-1-1111-1-111-1111-1-1−iii−i−iii−i-1-111−iii−i−iii−i
χ1511-1-1-111-1-11-1-1111111-1-1-1-1-1-1111-1-1-1-1111-1-1111-1-1-111i−i−ii−iii−i11-1-1i−i−ii−iii−i11-1-1-111-1-11-1-1111111-1-1-1-1-1-1111-1-1-1-1111-1-1111-1-1-111i−i−ii−iii−i11-1-1i−i−ii−iii−i
χ1611-1-1-111-1-11-1-1111111-1-1-1-1-1-1111-1-1-1-1111-1-1111-1-1-111−iii−ii−i−ii11-1-1−iii−ii−i−ii11-1-1-111-1-11-1-1111111-1-1-1-1-1-1111-1-1-1-1111-1-1111-1-1-111−iii−ii−i−ii11-1-1−iii−ii−i−ii
χ17222222222222222-12-122-1-10000-12-1-1-1-12-1-1-1-1-10000000000222200000000-1-1-1-1222222222222222-12-122-1-10000-12-1-1-1-12-1-1-1-1-10000000000222200000000-1-1-1-1
χ18222222222222222-12-122-1-10000-12-1-1-1-12-1-1-1-1-10000000000-2-2-2-2000000001111222222222222222-12-122-1-10000-12-1-1-1-12-1-1-1-1-10000000000-2-2-2-2000000001111
χ1922222222222222-12-12-1-1220000-1-12-1-1-1-12-1-1-1-1000000222200000000-1-1-1-1000022222222222222-12-12-1-1220000-1-12-1-1-1-12-1-1-1-1000000222200000000-1-1-1-10000
χ2022222222222222-12-12-1-1220000-1-12-1-1-1-12-1-1-1-1000000-2-2-2-2000000001111000022222222222222-12-12-1-1220000-1-12-1-1-1-12-1-1-1-1000000-2-2-2-20000000011110000
χ212222-22-2-2-2222-2-22-12-122-1-10000-1-2111-1-21-1-111000000000022-2-200000000-1-1112222-22-2-2-2222-2-22-12-122-1-10000-1-2111-1-21-1-111000000000022-2-200000000-1-111
χ222222-22-2-2-2222-2-22-12-122-1-10000-1-2111-1-21-1-1110000000000-2-2220000000011-1-12222-22-2-2-2222-2-22-12-122-1-10000-1-2111-1-21-1-1110000000000-2-2220000000011-1-1
χ232222-22-2-2-2222-2-2-12-12-1-1220000-11-211-11-2-1-11100000022-2-200000000-1-11100002222-22-2-2-2222-2-2-12-12-1-1220000-11-211-11-2-1-11100000022-2-200000000-1-1110000
χ242222-22-2-2-2222-2-2-12-12-1-1220000-11-211-11-2-1-111000000-2-2220000000011-1-100002222-22-2-2-2222-2-2-12-12-1-1220000-11-211-11-2-1-111000000-2-2220000000011-1-10000
χ2522-2-222-2222-2-2-2-22-12-1-2-2110000-12-1-1-1-1-21111100000000002i−2i2i−2i00000000−ii−ii22-2-222-2222-2-2-2-22-12-1-2-2110000-12-1-1-1-1-21111100000000002i−2i2i−2i00000000−ii−ii
χ2622-2-222-2222-2-2-2-22-12-1-2-2110000-12-1-1-1-1-2111110000000000−2i2i−2i2i00000000i−ii−i22-2-222-2222-2-2-2-22-12-1-2-2110000-12-1-1-1-1-2111110000000000−2i2i−2i2i00000000i−ii−i
χ2722-2-222-2222-2-2-2-2-12-1211-2-20000-1-12-1-1-11-211110000002i−2i2i−2i00000000−ii−ii000022-2-222-2222-2-2-2-2-12-1211-2-20000-1-12-1-1-11-211110000002i−2i2i−2i00000000−ii−ii0000
χ2822-2-222-2222-2-2-2-2-12-1211-2-20000-1-12-1-1-11-21111000000−2i2i−2i2i00000000i−ii−i000022-2-222-2222-2-2-2-2-12-1211-2-20000-1-12-1-1-11-21111000000−2i2i−2i2i00000000i−ii−i0000
χ2922-2-2-222-2-22-2-2222-12-1-2-2110000-1-2111-12-111-1-100000000002i−2i−2i2i00000000−iii−i22-2-2-222-2-22-2-2222-12-1-2-2110000-1-2111-12-111-1-100000000002i−2i−2i2i00000000−iii−i
χ3022-2-2-222-2-22-2-2222-12-1-2-2110000-1-2111-12-111-1-10000000000−2i2i2i−2i00000000i−i−ii22-2-2-222-2-22-2-2222-12-1-2-2110000-1-2111-12-111-1-10000000000−2i2i2i−2i00000000i−i−ii
χ3122-2-2-222-2-22-2-222-12-1211-2-20000-11-211-1-1211-1-10000002i−2i−2i2i00000000−iii−i000022-2-2-222-2-22-2-222-12-1211-2-20000-11-211-1-1211-1-10000002i−2i−2i2i00000000−iii−i0000
χ3222-2-2-222-2-22-2-222-12-1211-2-20000-11-211-1-1211-1-1000000−2i2i2i−2i00000000i−i−ii000022-2-2-222-2-22-2-222-12-1211-2-20000-11-211-1-1211-1-1000000−2i2i2i−2i00000000i−i−ii0000
χ332-22i−2i02000-22i−2i0022-2-22i−2i2i−2i2-22i−2i20000-2002i−2i00002-200000000002i−2i00000000002-22i−2i02000-22i−2i0022-2-22i−2i2i−2i2-22i−2i20000-2002i−2i00002-200000000002i−2i0000000000
χ342-22i−2i02000-22i−2i0022-2-22i−2i2i−2i-22−2i2i20000-2002i−2i0000-220000000000−2i2i00000000002-22i−2i02000-22i−2i0022-2-22i−2i2i−2i-22−2i2i20000-2002i−2i0000-220000000000−2i2i0000000000
χ352-2−2i2i02000-2−2i2i0022-2-2−2i2i−2i2i2-2−2i2i20000-200−2i2i00002-20000000000−2i2i00000000002-2−2i2i02000-2−2i2i0022-2-2−2i2i−2i2i2-2−2i2i20000-200−2i2i00002-20000000000−2i2i0000000000
χ362-2−2i2i02000-2−2i2i0022-2-2−2i2i−2i2i-222i−2i20000-200−2i2i0000-2200000000002i−2i00000000002-2−2i2i02000-2−2i2i0022-2-2−2i2i−2i2i-222i−2i20000-200−2i2i0000-2200000000002i−2i0000000000
χ3744444444444444-2-2-2-2-2-2-2-200001-2-2111-2-211110000000000000000000000000044444444444444-2-2-2-2-2-2-2-200001-2-2111-2-2111100000000000000000000000000
χ384444-44-4-4-4444-4-4-2-2-2-2-2-2-2-20000122-1-112211-1-1000000000000000000000000004444-44-4-4-4444-4-4-2-2-2-2-2-2-2-20000122-1-112211-1-100000000000000000000000000
χ3944-4-444-4444-4-4-4-4-2-2-2-2222200001-2-211122-1-1-1-10000000000000000000000000044-4-444-4444-4-4-4-4-2-2-2-2222200001-2-211122-1-1-1-100000000000000000000000000
χ4044-4-4-444-4-44-4-444-2-2-2-222220000122-1-11-2-2-1-1110000000000000000000000000044-4-4-444-4-44-4-444-2-2-2-222220000122-1-11-2-2-1-11100000000000000000000000000
χ414-44i−4i04000-44i−4i004-2-424i−4i−2i2i0000-20000200−2i2i00000000000000000000000000004-44i−4i04000-44i−4i004-2-424i−4i−2i2i0000-20000200−2i2i0000000000000000000000000000
χ424-44i−4i04000-44i−4i00-242-4−2i2i4i−4i0000-20000200−2i2i00000000000000000000000000004-44i−4i04000-44i−4i00-242-4−2i2i4i−4i0000-20000200−2i2i0000000000000000000000000000
χ434-44i−4i04000-44i−4i00-2-222−2i2i−2i2i00001003-3-100i−i3i−3i000000000000000000000000004-44i−4i04000-44i−4i00-2-222−2i2i−2i2i00001003-3-100i−i3i−3i00000000000000000000000000
χ444-44i−4i04000-44i−4i00-2-222−2i2i−2i2i0000100-33-100i−i−3i3i000000000000000000000000004-44i−4i04000-44i−4i00-2-222−2i2i−2i2i0000100-33-100i−i−3i3i00000000000000000000000000
χ454-4−4i4i04000-4−4i4i004-2-42−4i4i2i−2i0000-200002002i−2i00000000000000000000000000004-4−4i4i04000-4−4i4i004-2-42−4i4i2i−2i0000-200002002i−2i0000000000000000000000000000
χ464-4−4i4i04000-4−4i4i00-242-42i−2i−4i4i0000-200002002i−2i00000000000000000000000000004-4−4i4i04000-4−4i4i00-242-42i−2i−4i4i0000-200002002i−2i0000000000000000000000000000
χ474-4−4i4i04000-4−4i4i00-2-2222i−2i2i−2i00001003-3-100−ii−3i3i000000000000000000000000004-4−4i4i04000-4−4i4i00-2-2222i−2i2i−2i00001003-3-100−ii−3i3i00000000000000000000000000
χ484-4−4i4i04000-4−4i4i00-2-2222i−2i2i−2i0000100-33-100−ii3i−3i000000000000000000000000004-4−4i4i04000-4−4i4i00-2-2222i−2i2i−2i0000100-33-100−ii3i−3i00000000000000000000000000
χ4966666-36-3-3-3-3-3-3-300000000222200000000000022-1-1-1-100000000-1-1-1-10000000066666-36-3-3-3-3-3-3-300000000222200000000000022-1-1-1-100000000-1-1-1-100000000
χ5066666-36-3-3-3-3-3-3-300000000-2-2-2-2000000000000-2-211110000000011110000000066666-36-3-3-3-3-3-3-300000000-2-2-2-2000000000000-2-2111100000000111100000000
χ516666-6-3-633-3-3-333000000002222000000000000-2-2-1-11100000000-1-111000000006666-6-3-633-3-3-333000000002222000000000000-2-2-1-11100000000-1-11100000000
χ526666-6-3-633-3-3-33300000000-2-2-2-20000000000002211-1-10000000011-1-1000000006666-6-3-633-3-3-33300000000-2-2-2-20000000000002211-1-10000000011-1-100000000
χ5366-6-66-3-6-3-3-333330000000022-2-20000000000002-2-1-1-1-10000000011110000000066-6-66-3-6-3-3-333330000000022-2-20000000000002-2-1-1-1-100000000111100000000
χ5466-6-66-3-6-3-3-3333300000000-2-222000000000000-22111100000000-1-1-1-10000000066-6-66-3-6-3-3-3333300000000-2-222000000000000-22111100000000-1-1-1-100000000
χ5566-6-6-6-3633-333-3-30000000022-2-2000000000000-22-1-1110000000011-1-10000000066-6-6-6-3633-333-3-30000000022-2-2000000000000-22-1-1110000000011-1-100000000
χ5666-6-6-6-3633-333-3-300000000-2-2220000000000002-211-1-100000000-1-1110000000066-6-6-6-3633-333-3-300000000-2-2220000000000002-211-1-100000000-1-11100000000
χ576-66i−6i0-30−3i33i33−3i3i33−33000000002-22i−2i00000000000000-11−i3i300000000−ii3−3000000006-66i−6i0-30−3i33i33−3i3i33−33000000002-22i−2i00000000000000-11−i3i300000000−ii3−300000000
χ586-66i−6i0-30−3i33i33−3i3i33−3300000000-22−2i2i000000000000001-1i3−i300000000i−i−33000000006-66i−6i0-30−3i33i33−3i3i33−3300000000-22−2i2i000000000000001-1i3−i300000000i−i−3300000000
χ596-66i−6i0-303i3−3i33−3i3i−3333000000002-22i−2i00000000000000-11i3−i300000000−ii−33000000006-66i−6i0-303i3−3i33−3i3i−3333000000002-22i−2i00000000000000-11i3−i300000000−ii−3300000000
χ606-66i−6i0-303i3−3i33−3i3i−333300000000-22−2i2i000000000000001-1−i3i300000000i−i3−3000000006-66i−6i0-303i3−3i33−3i3i−333300000000-22−2i2i000000000000001-1−i3i300000000i−i3−300000000
χ616-6−6i6i0-30−3i33i333i−3i−3333000000002-2−2i2i00000000000000-11−i3i300000000i−i−33000000006-6−6i6i0-30−3i33i333i−3i−3333000000002-2−2i2i00000000000000-11−i3i300000000i−i−3300000000
χ626-6−6i6i0-30−3i33i333i−3i−333300000000-222i−2i000000000000001-1i3−i300000000−ii3−3000000006-6−6i6i0-30−3i33i333i−3i−333300000000-222i−2i000000000000001-1i3−i300000000−ii3−300000000
χ636-6−6i6i0-303i3−3i333i−3i33−33000000002-2−2i2i00000000000000-11i3−i300000000i−i3−3000000006-6−6i6i0-303i3−3i333i−3i33−33000000002-2−2i2i00000000000000-11i3−i300000000i−i3−300000000
χ646-6−6i6i0-303i3−3i333i−3i33−3300000000-222i−2i000000000000001-1−i3i300000000−ii−33000000006-6−6i6i0-303i3−3i333i−3i33−3300000000-222i−2i000000000000001-1−i3i300000000−ii−3300000000
χ651111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ6611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111
χ671111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-11111
χ681111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1
χ691111-11-1-1-1111-1-11111111111111-1-1-1-11-1-111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-1-1-1-1-11-1111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-11111-1-111-1-111-1-111-1-111-1-111-1-111
χ701111-11-1-1-1111-1-11111111111111-1-1-1-11-1-111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-111-1-1-1-11-1111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-11111-1-11111-1-111-1-1-1-11111-1-111-1-1
χ711111-11-1-1-1111-1-111111111-1-1-1-11-1-1-1-11-1-111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1-1-11-1111-1-1-111-1-1-1-1-1-1-1-11111-11111-111-1-111-1-111-1-1-1-11111-1-111-1-1-1-11111-1-1
χ721111-11-1-1-1111-1-111111111-1-1-1-11-1-1-1-11-1-111-1-111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-11-1111-1-1-111-1-1-1-1-1-1-1-11111-11111-111-1-111-1-111-1-111-1-1-1-11111-1-111-1-1-1-111
χ7311-1-111-1111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-11-11111i−ii−ii−ii−i-1-1-1-1i−ii−ii−ii−i-1-111-1-11-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1111111-11-1-1-1-1−ii−ii−ii−ii1111−ii−ii−ii−ii
χ7411-1-111-1111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-11-11111−ii−ii−ii−ii-1-1-1-1−ii−ii−ii−ii-1-111-1-11-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1111111-11-1-1-1-1i−ii−ii−ii−i1111i−ii−ii−ii−i
χ7511-1-111-1111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-11-1-1-1-1i−ii−i−ii−ii1111i−ii−i−ii−ii-1-111-1-11-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111111-11111−ii−iii−ii−i-1-1-1-1−ii−iii−ii−i
χ7611-1-111-1111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-11-1-1-1-1−ii−iii−ii−i1111−ii−iii−ii−i-1-111-1-11-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111111-11111i−ii−i−ii−ii-1-1-1-1i−ii−i−ii−ii
χ7711-1-1-111-1-11-1-1111111-1-1-1-111-1-11-1-1-1-1111-1-111-1111-1-1i−i−iii−i−ii-1-111i−i−iii−i−ii-1-1111-1-111-111-1-1-1-1-1-11111-1-111-11111-1-1-111-1-11-1-1-111−iii−i−iii−i11-1-1−iii−i−iii−i
χ7811-1-1-111-1-11-1-1111111-1-1-1-111-1-11-1-1-1-1111-1-111-1111-1-1−iii−i−iii−i-1-111−iii−i−iii−i-1-1111-1-111-111-1-1-1-1-1-11111-1-111-11111-1-1-111-1-11-1-1-111i−i−iii−i−ii11-1-1i−i−iii−i−ii
χ7911-1-1-111-1-11-1-1111111-1-1-1-1-1-1111-1-1-1-1111-1-1111-1-1-111i−i−ii−iii−i11-1-1i−i−ii−iii−i-1-1111-1-111-111-1-1-1-1-1-1111111-1-1-11111-1-1-111-1-1-1111-1-1−iii−ii−i−ii-1-111−iii−ii−i−ii
χ8011-1-1-111-1-11-1-1111111-1-1-1-1-1-1111-1-1-1-1111-1-1111-1-1-111−iii−ii−i−ii11-1-1−iii−ii−i−ii-1-1111-1-111-111-1-1-1-1-1-1111111-1-1-11111-1-1-111-1-1-1111-1-1i−i−ii−iii−i-1-111i−i−ii−iii−i
χ81222222222222222-12-122-1-10000-12-1-1-1-12-1-1-1-1-10000000000222200000000-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-21-2-21100001-21111-2111110000000000-2-2-2-2000000001111
χ82222222222222222-12-122-1-10000-12-1-1-1-12-1-1-1-1-10000000000-2-2-2-2000000001111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-21-2-21100001-21111-2111110000000000222200000000-1-1-1-1
χ8322222222222222-12-12-1-1220000-1-12-1-1-1-12-1-1-1-1000000222200000000-1-1-1-10000-2-2-2-2-2-2-2-2-2-2-2-2-2-21-21-211-2-2000011-21111-21111000000-2-2-2-20000000011110000
χ8422222222222222-12-12-1-1220000-1-12-1-1-1-12-1-1-1-1000000-2-2-2-20000000011110000-2-2-2-2-2-2-2-2-2-2-2-2-2-21-21-211-2-2000011-21111-21111000000222200000000-1-1-1-10000
χ852222-22-2-2-2222-2-22-12-122-1-10000-1-2111-1-21-1-111000000000022-2-200000000-1-111-2-2-2-22-2222-2-2-222-21-21-2-211000012-1-1-112-111-1-10000000000-2-2220000000011-1-1
χ862222-22-2-2-2222-2-22-12-122-1-10000-1-2111-1-21-1-1110000000000-2-2220000000011-1-1-2-2-2-22-2222-2-2-222-21-21-2-211000012-1-1-112-111-1-1000000000022-2-200000000-1-111
χ872222-22-2-2-2222-2-2-12-12-1-1220000-11-211-11-2-1-11100000022-2-200000000-1-1110000-2-2-2-22-2222-2-2-2221-21-211-2-200001-12-1-11-1211-1-1000000-2-2220000000011-1-10000
χ882222-22-2-2-2222-2-2-12-12-1-1220000-11-211-11-2-1-111000000-2-2220000000011-1-10000-2-2-2-22-2222-2-2-2221-21-211-2-200001-12-1-11-1211-1-100000022-2-200000000-1-1110000
χ8922-2-222-2222-2-2-2-22-12-1-2-2110000-12-1-1-1-1-21111100000000002i−2i2i−2i00000000−ii−ii-2-222-2-22-2-2-22222-21-2122-1-100001-211112-1-1-1-1-10000000000−2i2i−2i2i00000000i−ii−i
χ9022-2-222-2222-2-2-2-22-12-1-2-2110000-12-1-1-1-1-2111110000000000−2i2i−2i2i00000000i−ii−i-2-222-2-22-2-2-22222-21-2122-1-100001-211112-1-1-1-1-100000000002i−2i2i−2i00000000−ii−ii
χ9122-2-222-2222-2-2-2-2-12-1211-2-20000-1-12-1-1-11-211110000002i−2i2i−2i00000000−ii−ii0000-2-222-2-22-2-2-222221-21-2-1-122000011-2111-12-1-1-1-1000000−2i2i−2i2i00000000i−ii−i0000
χ9222-2-222-2222-2-2-2-2-12-1211-2-20000-1-12-1-1-11-21111000000−2i2i−2i2i00000000i−ii−i0000-2-222-2-22-2-2-222221-21-2-1-122000011-2111-12-1-1-1-10000002i−2i2i−2i00000000−ii−ii0000
χ9322-2-2-222-2-22-2-2222-12-1-2-2110000-1-2111-12-111-1-100000000002i−2i−2i2i00000000−iii−i-2-2222-2-222-222-2-2-21-2122-1-1000012-1-1-11-21-1-1110000000000−2i2i2i−2i00000000i−i−ii
χ9422-2-2-222-2-22-2-2222-12-1-2-2110000-1-2111-12-111-1-10000000000−2i2i2i−2i00000000i−i−ii-2-2222-2-222-222-2-2-21-2122-1-1000012-1-1-11-21-1-11100000000002i−2i−2i2i00000000−iii−i
χ9522-2-2-222-2-22-2-222-12-1211-2-20000-11-211-1-1211-1-10000002i−2i−2i2i00000000−iii−i0000-2-2222-2-222-222-2-21-21-2-1-12200001-12-1-111-2-1-111000000−2i2i2i−2i00000000i−i−ii0000
χ9622-2-2-222-2-22-2-222-12-1211-2-20000-11-211-1-1211-1-1000000−2i2i2i−2i00000000i−i−ii0000-2-2222-2-222-222-2-21-21-2-1-12200001-12-1-111-2-1-1110000002i−2i−2i2i00000000−iii−i0000
χ972-22i−2i02000-22i−2i0022-2-22i−2i2i−2i2-22i−2i20000-2002i−2i00002-200000000002i−2i0000000000-22−2i2i0-20002−2i2i00-2-222−2i2i−2i2i-22−2i2i-20000200−2i2i0000-220000000000−2i2i0000000000
χ982-22i−2i02000-22i−2i0022-2-22i−2i2i−2i-22−2i2i20000-2002i−2i0000-220000000000−2i2i0000000000-22−2i2i0-20002−2i2i00-2-222−2i2i−2i2i2-22i−2i-20000200−2i2i00002-200000000002i−2i0000000000
χ992-2−2i2i02000-2−2i2i0022-2-2−2i2i−2i2i2-2−2i2i20000-200−2i2i00002-20000000000−2i2i0000000000-222i−2i0-200022i−2i00-2-2222i−2i2i−2i-222i−2i-200002002i−2i0000-2200000000002i−2i0000000000
χ1002-2−2i2i02000-2−2i2i0022-2-2−2i2i−2i2i-222i−2i20000-200−2i2i0000-2200000000002i−2i0000000000-222i−2i0-200022i−2i00-2-2222i−2i2i−2i2-2−2i2i-200002002i−2i00002-20000000000−2i2i0000000000
χ10144444444444444-2-2-2-2-2-2-2-200001-2-2111-2-2111100000000000000000000000000-4-4-4-4-4-4-4-4-4-4-4-4-4-4222222220000-122-1-1-122-1-1-1-100000000000000000000000000
χ1024444-44-4-4-4444-4-4-2-2-2-2-2-2-2-20000122-1-112211-1-100000000000000000000000000-4-4-4-44-4444-4-4-444222222220000-1-2-211-1-2-2-1-11100000000000000000000000000
χ10344-4-444-4444-4-4-4-4-2-2-2-2222200001-2-211122-1-1-1-100000000000000000000000000-4-444-4-44-4-4-444442222-2-2-2-20000-122-1-1-1-2-2111100000000000000000000000000
χ10444-4-4-444-4-44-4-444-2-2-2-222220000122-1-11-2-2-1-11100000000000000000000000000-4-4444-4-444-444-4-42222-2-2-2-20000-1-2-211-12211-1-100000000000000000000000000
χ1054-44i−4i04000-44i−4i004-2-424i−4i−2i2i0000-20000200−2i2i0000000000000000000000000000-44−4i4i0-40004−4i4i00-424-2−4i4i2i−2i000020000-2002i−2i0000000000000000000000000000
χ1064-44i−4i04000-44i−4i00-242-4−2i2i4i−4i0000-20000200−2i2i0000000000000000000000000000-44−4i4i0-40004−4i4i002-4-242i−2i−4i4i000020000-2002i−2i0000000000000000000000000000
χ1074-44i−4i04000-44i−4i00-2-222−2i2i−2i2i00001003-3-100i−i3i−3i00000000000000000000000000-44−4i4i0-40004−4i4i0022-2-22i−2i2i−2i0000-100-33100−ii−3i3i00000000000000000000000000
χ1084-44i−4i04000-44i−4i00-2-222−2i2i−2i2i0000100-33-100i−i−3i3i00000000000000000000000000-44−4i4i0-40004−4i4i0022-2-22i−2i2i−2i0000-1003-3100−ii3i−3i00000000000000000000000000
χ1094-4−4i4i04000-4−4i4i004-2-42−4i4i2i−2i0000-200002002i−2i0000000000000000000000000000-444i−4i0-400044i−4i00-424-24i−4i−2i2i000020000-200−2i2i0000000000000000000000000000
χ1104-4−4i4i04000-4−4i4i00-242-42i−2i−4i4i0000-200002002i−2i0000000000000000000000000000-444i−4i0-400044i−4i002-4-24−2i2i4i−4i000020000-200−2i2i0000000000000000000000000000
χ1114-4−4i4i04000-4−4i4i00-2-2222i−2i2i−2i00001003-3-100−ii−3i3i00000000000000000000000000-444i−4i0-400044i−4i0022-2-2−2i2i−2i2i0000-100-33100i−i3i−3i00000000000000000000000000
χ1124-4−4i4i04000-4−4i4i00-2-2222i−2i2i−2i0000100-33-100−ii3i−3i00000000000000000000000000-444i−4i0-400044i−4i0022-2-2−2i2i−2i2i0000-1003-3100i−i−3i3i00000000000000000000000000
χ11366666-36-3-3-3-3-3-3-300000000222200000000000022-1-1-1-100000000-1-1-1-100000000-6-6-6-6-63-6333333300000000-2-2-2-2000000000000-2-2111100000000111100000000
χ11466666-36-3-3-3-3-3-3-300000000-2-2-2-2000000000000-2-2111100000000111100000000-6-6-6-6-63-6333333300000000222200000000000022-1-1-1-100000000-1-1-1-100000000
χ1156666-6-3-633-3-3-333000000002222000000000000-2-2-1-11100000000-1-11100000000-6-6-6-6636-3-3333-3-300000000-2-2-2-20000000000002211-1-10000000011-1-100000000
χ1166666-6-3-633-3-3-33300000000-2-2-2-20000000000002211-1-10000000011-1-100000000-6-6-6-6636-3-3333-3-3000000002222000000000000-2-2-1-11100000000-1-11100000000
χ11766-6-66-3-6-3-3-333330000000022-2-20000000000002-2-1-1-1-100000000111100000000-6-666-636333-3-3-3-300000000-2-222000000000000-22111100000000-1-1-1-100000000
χ11866-6-66-3-6-3-3-3333300000000-2-222000000000000-22111100000000-1-1-1-100000000-6-666-636333-3-3-3-30000000022-2-20000000000002-2-1-1-1-100000000111100000000
χ11966-6-6-6-3633-333-3-30000000022-2-2000000000000-22-1-1110000000011-1-100000000-6-66663-6-3-33-3-33300000000-2-2220000000000002-211-1-100000000-1-11100000000
χ12066-6-6-6-3633-333-3-300000000-2-2220000000000002-211-1-100000000-1-11100000000-6-66663-6-3-33-3-3330000000022-2-2000000000000-22-1-1110000000011-1-100000000
χ1216-66i−6i0-30−3i33i33−3i3i33−33000000002-22i−2i00000000000000-11−i3i300000000−ii3−300000000-66−6i6i0303i3−3i3-33i−3i−333300000000-22−2i2i000000000000001-1i3−i300000000i−i−3300000000
χ1226-66i−6i0-30−3i33i33−3i3i33−3300000000-22−2i2i000000000000001-1i3−i300000000i−i−3300000000-66−6i6i0303i3−3i3-33i−3i−3333000000002-22i−2i00000000000000-11−i3i300000000−ii3−300000000
χ1236-66i−6i0-303i3−3i33−3i3i−3333000000002-22i−2i00000000000000-11i3−i300000000−ii−3300000000-66−6i6i030−3i33i3-33i−3i33−3300000000-22−2i2i000000000000001-1−i3i300000000i−i3−300000000
χ1246-66i−6i0-303i3−3i33−3i3i−333300000000-22−2i2i000000000000001-1−i3i300000000i−i3−300000000-66−6i6i030−3i33i3-33i−3i33−33000000002-22i−2i00000000000000-11i3−i300000000−ii−3300000000
χ1256-6−6i6i0-30−3i33i333i−3i−3333000000002-2−2i2i00000000000000-11−i3i300000000i−i−3300000000-666i−6i0303i3−3i3-3−3i3i33−3300000000-222i−2i000000000000001-1i3−i300000000−ii3−300000000
χ1266-6−6i6i0-30−3i33i333i−3i−333300000000-222i−2i000000000000001-1i3−i300000000−ii3−300000000-666i−6i0303i3−3i3-3−3i3i33−33000000002-2−2i2i00000000000000-11−i3i300000000i−i−3300000000
χ1276-6−6i6i0-303i3−3i333i−3i33−33000000002-2−2i2i00000000000000-11i3−i300000000i−i3−300000000-666i−6i030−3i33i3-3−3i3i−333300000000-222i−2i000000000000001-1−i3i300000000−ii−3300000000
χ1286-6−6i6i0-303i3−3i333i−3i33−3300000000-222i−2i000000000000001-1−i3i300000000−ii−3300000000-666i−6i030−3i33i3-3−3i3i−3333000000002-2−2i2i00000000000000-11i3−i300000000i−i3−300000000

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