Finite Group Databasebeta

← Group #13166702

Character table — Group #13166702

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135
size111122444444444444881212121212121212121212121818242424242424363636363611112244444444444488121212121212121212121212181824242424242436363636361111224444444444448812121212121212121212121218182424242424243636363636
order12224433666666121212121212224466661212121244441212121248888366612123366666612121212121266121266661212121212121212121212121224242424366612123366666612121212121266121266661212121212121212121212121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-11-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-11-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-11-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111
χ51111-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-1111-111-1-1-111-1-11111-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-1111-111-1-1-111-1-11111-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-1111-111-1-1-111-1-1
χ61111-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-111-11-1-111-1-1-1111111-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-111-11-1-111-1-1-1111111-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-111-11-1-111-1-1-111
χ71111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111111-111-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111111-111-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111111-111-1-1-1-1-111
χ81111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-11-1-111-111-1-11111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-11-1-111-111-1-11111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-11-1-111-111-1-1
χ922222222222222222222000000000000-2-2000000-2000022222222222222222222000000000000-2-2000000-2000022222222222222222222000000000000-2-2000000-20000
χ102222-2-222222222-2-2-2-2-2-2000000000000-2-2000000200002222-2-222222222-2-2-2-2-2-2000000000000-2-2000000200002222-2-222222222-2-2-2-2-2-2000000000000-2-200000020000
χ1122-2-22-222-2-2-222-222-2-22-2000000000000000000000−i2i2−i2i222-2-22-222-2-2-222-222-2-22-2000000000000000000000−i2i2−i2i222-2-22-222-2-2-222-222-2-22-2000000000000000000000−i2i2−i2i2
χ1222-2-22-222-2-2-222-222-2-22-2000000000000000000000i2−i2i2−i222-2-22-222-2-2-222-222-2-22-2000000000000000000000i2−i2i2−i222-2-22-222-2-2-222-222-2-22-2000000000000000000000i2−i2i2−i2
χ1322-2-2-2222-2-2-222-2-2-222-22000000000000000000000−i2i2i2−i222-2-2-2222-2-2-222-2-2-222-22000000000000000000000−i2i2i2−i222-2-2-2222-2-2-222-2-2-222-22000000000000000000000−i2i2i2−i2
χ1422-2-2-2222-2-2-222-2-2-222-22000000000000000000000i2−i2−i2i222-2-2-2222-2-2-222-2-2-222-22000000000000000000000i2−i2−i2i222-2-2-2222-2-2-222-2-2-222-22000000000000000000000i2−i2−i2i2
χ152-22-2002222-2-2-2-2000000002i−2i00002i2i−2i−2i-22000000000002-22-2002222-2-2-2-2000000002i−2i00002i2i−2i−2i-22000000000002-22-2002222-2-2-2-2000000002i−2i00002i2i−2i−2i-2200000000000
χ162-22-2002222-2-2-2-200000000−2i2i0000−2i−2i2i2i-22000000000002-22-2002222-2-2-2-200000000−2i2i0000−2i−2i2i2i-22000000000002-22-2002222-2-2-2-200000000−2i2i0000−2i−2i2i2i-2200000000000
χ172-22-2002222-2-2-2-20000002-20022-2-200002-2000000000002-22-2002222-2-2-2-20000002-20022-2-200002-2000000000002-22-2002222-2-2-2-20000002-20022-2-200002-200000000000
χ182-22-2002222-2-2-2-2000000-2200-2-22200002-2000000000002-22-2002222-2-2-2-2000000-2200-2-22200002-2000000000002-22-2002222-2-2-2-2000000-2200-2-22200002-200000000000
χ194444441-21-2-21-21-2-2-2-2110000000000000022-1-1-1-1000004444441-21-2-21-21-2-2-2-2110000000000000022-1-1-1-1000004444441-21-2-21-21-2-2-2-2110000000000000022-1-1-1-100000
χ204444441-21-2-21-21-2-2-2-21100000000000000-2-21111000004444441-21-2-21-21-2-2-2-21100000000000000-2-21111000004444441-21-2-21-21-2-2-2-21100000000000000-2-2111100000
χ21444444-21-211-21-21111-2-22222-1-1-1-1-1-1-1-10000000000000444444-21-211-21-21111-2-22222-1-1-1-1-1-1-1-10000000000000444444-21-211-21-21111-2-22222-1-1-1-1-1-1-1-10000000000000
χ22444444-21-211-21-21111-2-2-2-2-2-2111111110000000000000444444-21-211-21-21111-2-2-2-2-2-2111111110000000000000444444-21-211-21-21111-2-2-2-2-2-2111111110000000000000
χ234444-4-41-21-2-21-212222-1-1000000000000002-2-1-111000004444-4-41-21-2-21-212222-1-1000000000000002-2-1-111000004444-4-41-21-2-21-212222-1-1000000000000002-2-1-11100000
χ244444-4-41-21-2-21-212222-1-100000000000000-2211-1-1000004444-4-41-21-2-21-212222-1-100000000000000-2211-1-1000004444-4-41-21-2-21-212222-1-100000000000000-2211-1-100000
χ254444-4-4-21-211-21-2-1-1-1-12222-2-2-1-1-1-1111100000000000004444-4-4-21-211-21-2-1-1-1-12222-2-2-1-1-1-1111100000000000004444-4-4-21-211-21-2-1-1-1-12222-2-2-1-1-1-111110000000000000
χ264444-4-4-21-211-21-2-1-1-1-122-2-2221111-1-1-1-100000000000004444-4-4-21-211-21-2-1-1-1-122-2-2221111-1-1-1-100000000000004444-4-4-21-211-21-2-1-1-1-122-2-2221111-1-1-1-10000000000000
χ2744-4-44-41-2-1221-2-1-2-2221-100000000000000003−33−30000044-4-44-41-2-1221-2-1-2-2221-100000000000000003−33−30000044-4-44-41-2-1221-2-1-2-2221-100000000000000003−33−300000
χ2844-4-44-41-2-1221-2-1-2-2221-10000000000000000−33−330000044-4-44-41-2-1221-2-1-2-2221-10000000000000000−33−330000044-4-44-41-2-1221-2-1-2-2221-10000000000000000−33−3300000
χ2944-4-44-4-212-1-1-21211-1-1-220000−i3i3−i3i3−i3i3−i3i3000000000000044-4-44-4-212-1-1-21211-1-1-220000−i3i3−i3i3−i3i3−i3i3000000000000044-4-44-4-212-1-1-21211-1-1-220000−i3i3−i3i3−i3i3−i3i30000000000000
χ3044-4-44-4-212-1-1-21211-1-1-220000i3−i3i3−i3i3−i3i3−i3000000000000044-4-44-4-212-1-1-21211-1-1-220000i3−i3i3−i3i3−i3i3−i3000000000000044-4-44-4-212-1-1-21211-1-1-220000i3−i3i3−i3i3−i3i3−i30000000000000
χ3144-4-4-441-2-1221-2-122-2-2-1100000000000000003−3−330000044-4-4-441-2-1221-2-122-2-2-1100000000000000003−3−330000044-4-4-441-2-1221-2-122-2-2-1100000000000000003−3−3300000
χ3244-4-4-441-2-1221-2-122-2-2-110000000000000000−333−30000044-4-4-441-2-1221-2-122-2-2-110000000000000000−333−30000044-4-4-441-2-1221-2-122-2-2-110000000000000000−333−300000
χ3344-4-4-44-212-1-1-212-1-1112-20000−i3i3−i3i3i3−i3i3−i3000000000000044-4-4-44-212-1-1-212-1-1112-20000−i3i3−i3i3i3−i3i3−i3000000000000044-4-4-44-212-1-1-212-1-1112-20000−i3i3−i3i3i3−i3i3−i30000000000000
χ3444-4-4-44-212-1-1-212-1-1112-20000i3−i3i3−i3−i3i3−i3i3000000000000044-4-4-44-212-1-1-212-1-1112-20000i3−i3i3−i3−i3i3−i3i3000000000000044-4-4-44-212-1-1-212-1-1112-20000i3−i3i3−i3−i3i3−i3i30000000000000
χ354-44-400-21-21-12-123i−3i3i−3i002-22i−2i-1-111−i−iii00000000000004-44-400-21-21-12-123i−3i3i−3i002-22i−2i-1-111−i−iii00000000000004-44-400-21-21-12-123i−3i3i−3i002-22i−2i-1-111−i−iii0000000000000
χ364-44-400-21-21-12-123i−3i3i−3i00-22−2i2i11-1-1ii−i−i00000000000004-44-400-21-21-12-123i−3i3i−3i00-22−2i2i11-1-1ii−i−i00000000000004-44-400-21-21-12-123i−3i3i−3i00-22−2i2i11-1-1ii−i−i0000000000000
χ374-44-400-21-21-12-12−3i3i−3i3i002-2−2i2i-1-111ii−i−i00000000000004-44-400-21-21-12-12−3i3i−3i3i002-2−2i2i-1-111ii−i−i00000000000004-44-400-21-21-12-12−3i3i−3i3i002-2−2i2i-1-111ii−i−i0000000000000
χ384-44-400-21-21-12-12−3i3i−3i3i00-222i−2i11-1-1−i−iii00000000000004-44-400-21-21-12-12−3i3i−3i3i00-222i−2i11-1-1−i−iii00000000000004-44-400-21-21-12-12−3i3i−3i3i00-222i−2i11-1-1−i−iii0000000000000
χ394-4-440044-4-44-4-4400000000000000000000000000000004-4-440044-4-44-4-4400000000000000000000000000000004-4-440044-4-44-4-440000000000000000000000000000000
χ404-4-4400-212-112-1-23i−3i−3i3i000000−i3i3i3−i33−3−3300000000000004-4-4400-212-112-1-23i−3i−3i3i000000−i3i3i3−i33−3−3300000000000004-4-4400-212-112-1-23i−3i−3i3i000000−i3i3i3−i33−3−330000000000000
χ414-4-4400-212-112-1-23i−3i−3i3i000000i3−i3−i3i3−333−300000000000004-4-4400-212-112-1-23i−3i−3i3i000000i3−i3−i3i3−333−300000000000004-4-4400-212-112-1-23i−3i−3i3i000000i3−i3−i3i3−333−30000000000000
χ424-4-4400-212-112-1-2−3i3i3i−3i000000−i3i3i3−i3−333−300000000000004-4-4400-212-112-1-2−3i3i3i−3i000000−i3i3i3−i3−333−300000000000004-4-4400-212-112-1-2−3i3i3i−3i000000−i3i3i3−i3−333−30000000000000
χ434-4-4400-212-112-1-2−3i3i3i−3i000000i3−i3−i3i33−3−3300000000000004-4-4400-212-112-1-2−3i3i3i−3i000000i3−i3−i3i33−3−3300000000000004-4-4400-212-112-1-2−3i3i3i−3i000000i3−i3−i3i33−3−330000000000000
χ448-88-8002-42-44-24-200000000000000000000000000000008-88-8002-42-44-24-200000000000000000000000000000008-88-8002-42-44-24-20000000000000000000000000000000
χ458-8-88002-4-24-4-24200000000000000000000000000000008-8-88002-4-24-4-24200000000000000000000000000000008-8-88002-4-24-4-2420000000000000000000000000000000
χ46111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ471111111111111111111111111111111111-1-1-1-1-1-11-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i32
χ4811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ4911111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ501111-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-1111-111-1-1-111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32
χ511111-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-111-11-1-111-1-1-111−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32
χ521111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111111-111-1-1-1-1-111−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32
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χ1072-22-2002222-2-2-2-20000002-20022-2-200002-200000000000−1−i31+i3−1−i31+i300−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3000000−1−i31+i300−1−i3−1−i31+i31+i30000−1−i31+i300000000000−1+i31−i3−1+i31−i300−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3000000−1+i31−i300−1+i3−1+i31−i31−i30000−1+i31−i300000000000
χ1082-22-2002222-2-2-2-2000000-2200-2-22200002-200000000000−1−i31+i3−1−i31+i300−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i30000001+i3−1−i3001+i31+i3−1−i3−1−i30000−1−i31+i300000000000−1+i31−i3−1+i31−i300−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i30000001−i3−1+i3001−i31−i3−1+i3−1+i30000−1+i31−i300000000000
χ1094444441-21-2-21-21-2-2-2-2110000000000000022-1-1-1-100000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i31+i3−1−i321+i3−1−i321+i31+i31+i31+i3−1−i32−1−i3200000000000000−1−i3−1−i31+i321+i321+i321+i3200000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i321−i31−i3−1+i321−i3−1+i321−i31−i31−i31−i3−1+i32−1+i3200000000000000−1+i3−1+i31−i321−i321−i321−i3200000
χ1104444441-21-2-21-21-2-2-2-21100000000000000-2-2111100000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i31+i3−1−i321+i3−1−i321+i31+i31+i31+i3−1−i32−1−i32000000000000001+i31+i3−1−i32−1−i32−1−i32−1−i3200000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i321−i31−i3−1+i321−i3−1+i321−i31−i31−i31−i3−1+i32−1+i32000000000000001−i31−i3−1+i32−1+i32−1+i32−1+i3200000
χ111444444-21-211-21-21111-2-22222-1-1-1-1-1-1-1-10000000000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i32−1−i321+i3−1−i321+i3−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i320000000000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i321−i3−1+i32−1+i321−i3−1+i321−i3−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i320000000000000
χ112444444-21-211-21-21111-2-2-2-2-2-2111111110000000000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i32−1−i321+i3−1−i321+i3−1−i32−1−i32−1−i32−1−i321+i31+i31+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i320000000000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i321−i3−1+i32−1+i321−i3−1+i321−i3−1+i32−1+i32−1+i32−1+i321−i31−i31−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i320000000000000
χ1134444-4-41-21-2-21-212222-1-1000000000000002-2-1-11100000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i3−1−i321+i3−1−i321+i31+i3−1−i321+i3−1−i32−1−i3−1−i3−1−i3−1−i31+i321+i3200000000000000−1−i31+i31+i321+i32−1−i32−1−i3200000−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i3−1+i321−i3−1+i321−i31−i3−1+i321−i3−1+i32−1+i3−1+i3−1+i3−1+i31−i321−i3200000000000000−1+i31−i31−i321−i32−1+i32−1+i3200000
χ1144444-4-41-21-2-21-212222-1-100000000000000-2211-1-100000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i3−1−i321+i3−1−i321+i31+i3−1−i321+i3−1−i32−1−i3−1−i3−1−i3−1−i31+i321+i32000000000000001+i3−1−i3−1−i32−1−i321+i321+i3200000−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i3−1+i321−i3−1+i321−i31−i3−1+i321−i3−1+i32−1+i3−1+i3−1+i3−1+i31−i321−i32000000000000001−i3−1+i3−1+i32−1+i321−i321−i3200000
χ1154444-4-4-21-211-21-2-1-1-1-12222-2-2-1-1-1-111110000000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i31+i3−1−i321+i3−1−i32−1−i321+i3−1−i321+i31+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i31−i3−1+i321−i3−1+i32−1+i321−i3−1+i321−i31−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000000000000
χ1164444-4-4-21-211-21-2-1-1-1-122-2-2221111-1-1-1-10000000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i31+i3−1−i321+i3−1−i32−1−i321+i3−1−i321+i31+i321+i321+i321+i32−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i320000000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i31−i3−1+i321−i3−1+i32−1+i321−i3−1+i321−i31−i321−i321−i321−i32−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i320000000000000
χ11744-4-44-41-2-1221-2-1-2-2221-100000000000000003−33−300000−2−2i3−2−2i32+2i32+2i3−2−2i32+2i3−1−i321+i31+i32−1−i3−1−i3−1−i321+i31+i321+i31+i3−1−i3−1−i3−1−i321+i3200000000000000002ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ2200000−2+2i3−2+2i32−2i32−2i3−2+2i32−2i3−1+i321−i31−i32−1+i3−1+i3−1+i321−i31−i321−i31−i3−1+i3−1+i3−1+i321−i320000000000000000−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ2200000
χ11844-4-44-41-2-1221-2-1-2-2221-10000000000000000−33−3300000−2−2i3−2−2i32+2i32+2i3−2−2i32+2i3−1−i321+i31+i32−1−i3−1−i3−1−i321+i31+i321+i31+i3−1−i3−1−i3−1−i321+i320000000000000000−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ2200000−2+2i3−2+2i32−2i32−2i3−2+2i32−2i3−1+i321−i31−i32−1+i3−1+i3−1+i321−i31−i321−i31−i3−1+i3−1+i3−1+i321−i320000000000000000ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ2200000
χ11944-4-44-4-212-1-1-21211-1-1-220000−i3i3−i3i3−i3i3−i3i30000000000000−2−2i3−2−2i32+2i32+2i3−2−2i32+2i31+i3−1−i32−1−i31+i321+i321+i3−1−i32−1−i3−1−i32−1−i321+i321+i321+i3−1−i30000−3+i323−i32−3+i323−i32−3+i323−i32−3+i323−i320000000000000−2+2i3−2+2i32−2i32−2i3−2+2i32−2i31−i3−1+i32−1+i31−i321−i321−i3−1+i32−1+i3−1+i32−1+i321−i321−i321−i3−1+i300003+i32−3−i323+i32−3−i323+i32−3−i323+i32−3−i320000000000000
χ12044-4-44-4-212-1-1-21211-1-1-220000i3−i3i3−i3i3−i3i3−i30000000000000−2−2i3−2−2i32+2i32+2i3−2−2i32+2i31+i3−1−i32−1−i31+i321+i321+i3−1−i32−1−i3−1−i32−1−i321+i321+i321+i3−1−i300003−i32−3+i323−i32−3+i323−i32−3+i323−i32−3+i320000000000000−2+2i3−2+2i32−2i32−2i3−2+2i32−2i31−i3−1+i32−1+i31−i321−i321−i3−1+i32−1+i3−1+i32−1+i321−i321−i321−i3−1+i30000−3−i323+i32−3−i323+i32−3−i323+i32−3−i323+i320000000000000
χ12144-4-4-441-2-1221-2-122-2-2-1100000000000000003−3−3300000−2−2i3−2−2i32+2i32+2i32+2i3−2−2i3−1−i321+i31+i32−1−i3−1−i3−1−i321+i31+i32−1−i3−1−i31+i31+i31+i32−1−i3200000000000000002ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ2200000−2+2i3−2+2i32−2i32−2i32−2i3−2+2i3−1+i321−i31−i32−1+i3−1+i3−1+i321−i31−i32−1+i3−1+i31−i31−i31−i32−1+i320000000000000000−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ2200000
χ12244-4-4-441-2-1221-2-122-2-2-110000000000000000−333−300000−2−2i3−2−2i32+2i32+2i32+2i3−2−2i3−1−i321+i31+i32−1−i3−1−i3−1−i321+i31+i32−1−i3−1−i31+i31+i31+i32−1−i320000000000000000−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ2200000−2+2i3−2+2i32−2i32−2i32−2i3−2+2i3−1+i321−i31−i32−1+i3−1+i3−1+i321−i31−i32−1+i3−1+i31−i31−i31−i32−1+i320000000000000000ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ2200000
χ12344-4-4-44-212-1-1-212-1-1112-20000−i3i3−i3i3i3−i3i3−i30000000000000−2−2i3−2−2i32+2i32+2i32+2i3−2−2i31+i3−1−i32−1−i31+i321+i321+i3−1−i32−1−i31+i321+i32−1−i32−1−i32−1−i31+i30000−3+i323−i32−3+i323−i323−i32−3+i323−i32−3+i320000000000000−2+2i3−2+2i32−2i32−2i32−2i3−2+2i31−i3−1+i32−1+i31−i321−i321−i3−1+i32−1+i31−i321−i32−1+i32−1+i32−1+i31−i300003+i32−3−i323+i32−3−i32−3−i323+i32−3−i323+i320000000000000
χ12444-4-4-44-212-1-1-212-1-1112-20000i3−i3i3−i3−i3i3−i3i30000000000000−2−2i3−2−2i32+2i32+2i32+2i3−2−2i31+i3−1−i32−1−i31+i321+i321+i3−1−i32−1−i31+i321+i32−1−i32−1−i32−1−i31+i300003−i32−3+i323−i32−3+i32−3+i323−i32−3+i323−i320000000000000−2+2i3−2+2i32−2i32−2i32−2i3−2+2i31−i3−1+i32−1+i31−i321−i321−i3−1+i32−1+i31−i321−i32−1+i32−1+i32−1+i31−i30000−3−i323+i32−3−i323+i323+i32−3−i323+i32−3−i320000000000000
χ1254-44-400-21-21-12-123i−3i3i−3i002-22i−2i-1-111−i−iii0000000000000−2−2i32+2i3−2−2i32+2i3001+i3−1−i321+i3−1−i321+i32−1−i31+i32−1−i33ζ22−3ζ223ζ22−3ζ2200−1−i31+i32ζ22−2ζ221+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ220000000000000−2+2i32−2i3−2+2i32−2i3001−i3−1+i321−i3−1+i321−i32−1+i31−i32−1+i33ζ14−3ζ143ζ14−3ζ1400−1+i31−i32ζ14−2ζ141−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ140000000000000
χ1264-44-400-21-21-12-123i−3i3i−3i00-22−2i2i11-1-1ii−i−i0000000000000−2−2i32+2i3−2−2i32+2i3001+i3−1−i321+i3−1−i321+i32−1−i31+i32−1−i33ζ22−3ζ223ζ22−3ζ22001+i3−1−i3−2ζ222ζ22−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ220000000000000−2+2i32−2i3−2+2i32−2i3001−i3−1+i321−i3−1+i321−i32−1+i31−i32−1+i33ζ14−3ζ143ζ14−3ζ14001−i3−1+i3−2ζ142ζ14−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ140000000000000
χ1274-44-400-21-21-12-12−3i3i−3i3i002-2−2i2i-1-111ii−i−i0000000000000−2−2i32+2i3−2−2i32+2i3001+i3−1−i321+i3−1−i321+i32−1−i31+i32−1−i3−3ζ223ζ22−3ζ223ζ2200−1−i31+i3−2ζ222ζ221+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ220000000000000−2+2i32−2i3−2+2i32−2i3001−i3−1+i321−i3−1+i321−i32−1+i31−i32−1+i3−3ζ143ζ14−3ζ143ζ1400−1+i31−i3−2ζ142ζ141−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ140000000000000
χ1284-44-400-21-21-12-12−3i3i−3i3i00-222i−2i11-1-1−i−iii0000000000000−2−2i32+2i3−2−2i32+2i3001+i3−1−i321+i3−1−i321+i32−1−i31+i32−1−i3−3ζ223ζ22−3ζ223ζ22001+i3−1−i32ζ22−2ζ22−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ220000000000000−2+2i32−2i3−2+2i32−2i3001−i3−1+i321−i3−1+i321−i32−1+i31−i32−1+i3−3ζ143ζ14−3ζ143ζ14001−i3−1+i32ζ14−2ζ14−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ140000000000000
χ1294-4-440044-4-44-4-440000000000000000000000000000000−2−2i32+2i32+2i3−2−2i300−2−2i3−2−2i32+2i32+2i3−2−2i32+2i32+2i3−2−2i30000000000000000000000000000000−2+2i32−2i32−2i3−2+2i300−2+2i3−2+2i32−2i32−2i3−2+2i32−2i32−2i3−2+2i30000000000000000000000000000000
χ1304-4-4400-212-112-1-23i−3i−3i3i000000−i3i3i3−i33−3−330000000000000−2−2i32+2i32+2i3−2−2i3001+i3−1−i32−1−i31+i32−1−i32−1−i31+i321+i33ζ22−3ζ22−3ζ223ζ22000000−3+i323−i323−i32−3+i322ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ220000000000000−2+2i32−2i32−2i3−2+2i3001−i3−1+i32−1+i31−i32−1+i32−1+i31−i321−i33ζ14−3ζ14−3ζ143ζ140000003+i32−3−i32−3−i323+i32−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ220000000000000
χ1314-4-4400-212-112-1-23i−3i−3i3i000000i3−i3−i3i3−333−30000000000000−2−2i32+2i32+2i3−2−2i3001+i3−1−i32−1−i31+i32−1−i32−1−i31+i321+i33ζ22−3ζ22−3ζ223ζ220000003−i32−3+i32−3+i323−i32−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ220000000000000−2+2i32−2i32−2i3−2+2i3001−i3−1+i32−1+i31−i32−1+i32−1+i31−i321−i33ζ14−3ζ14−3ζ143ζ14000000−3−i323+i323+i32−3−i32ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ220000000000000
χ1324-4-4400-212-112-1-2−3i3i3i−3i000000−i3i3i3−i3−333−30000000000000−2−2i32+2i32+2i3−2−2i3001+i3−1−i32−1−i31+i32−1−i32−1−i31+i321+i3−3ζ223ζ223ζ22−3ζ22000000−3+i323−i323−i32−3+i32−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ220000000000000−2+2i32−2i32−2i3−2+2i3001−i3−1+i32−1+i31−i32−1+i32−1+i31−i321−i3−3ζ143ζ143ζ14−3ζ140000003+i32−3−i32−3−i323+i32ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ220000000000000
χ1334-4-4400-212-112-1-2−3i3i3i−3i000000i3−i3−i3i33−3−330000000000000−2−2i32+2i32+2i3−2−2i3001+i3−1−i32−1−i31+i32−1−i32−1−i31+i321+i3−3ζ223ζ223ζ22−3ζ220000003−i32−3+i32−3+i323−i322ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ220000000000000−2+2i32−2i32−2i3−2+2i3001−i3−1+i32−1+i31−i32−1+i32−1+i31−i321−i3−3ζ143ζ143ζ14−3ζ14000000−3−i323+i323+i32−3−i32−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ220000000000000
χ1348-88-8002-42-44-24-20000000000000000000000000000000−4−4i34+4i3−4−4i34+4i300−1−i32+2i3−1−i32+2i3−2−2i31+i3−2−2i31+i30000000000000000000000000000000−4+4i34−4i3−4+4i34−4i300−1+i32−2i3−1+i32−2i3−2+2i31−i3−2+2i31−i30000000000000000000000000000000
χ1358-8-88002-4-24-4-2420000000000000000000000000000000−4−4i34+4i34+4i3−4−4i300−1−i32+2i31+i3−2−2i32+2i31+i3−2−2i3−1−i30000000000000000000000000000000−4+4i34−4i34−4i3−4+4i300−1+i32−2i31−i3−2+2i32−2i31−i3−2+2i3−1+i30000000000000000000000000000000

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