Finite Group Databasebeta

← Group #11796492

Character table — Group #11796492

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111122222244444444444488888888888888881212121224242424242411112222224444444444448888888888888888121212122424242424241111222222444444444444888888888888888812121212242424242424
order12442346121222244466612121266888812122424242424242424444424888836121263126121266612121266612121266242424241212242424242424242412121212612242424243612126312612126661212126661212126624242424121224242424242424241212121261224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ4111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111-1-11-1-11-1-11-1-11-1ii−i−i1-1iiii−i−i−i−i1111-1-1ii−i−i11111111111-1-11-1-11-1-11-1-11-1ii−i−i1-1iiii−i−i−i−i1111-1-1ii−i−i11111111111-1-11-1-11-1-11-1-11-1ii−i−i1-1iiii−i−i−i−i1111-1-1ii−i−i
χ611111111111-1-11-1-11-1-11-1-11-1ii−i−i1-1iiii−i−i−i−i-1-1-1-111−i−iii11111111111-1-11-1-11-1-11-1-11-1ii−i−i1-1iiii−i−i−i−i-1-1-1-111−i−iii11111111111-1-11-1-11-1-11-1-11-1ii−i−i1-1iiii−i−i−i−i-1-1-1-111−i−iii
χ711111111111-1-11-1-11-1-11-1-11-1−i−iii1-1−i−i−i−iiiii1111-1-1−i−iii11111111111-1-11-1-11-1-11-1-11-1−i−iii1-1−i−i−i−iiiii1111-1-1−i−iii11111111111-1-11-1-11-1-11-1-11-1−i−iii1-1−i−i−i−iiiii1111-1-1−i−iii
χ811111111111-1-11-1-11-1-11-1-11-1−i−iii1-1−i−i−i−iiiii-1-1-1-111ii−i−i11111111111-1-11-1-11-1-11-1-11-1−i−iii1-1−i−i−i−iiiii-1-1-1-111ii−i−i11111111111-1-11-1-11-1-11-1-11-1−i−iii1-1−i−i−i−iiiii-1-1-1-111ii−i−i
χ911-1-111-11-1-1-1111-1-1111-1-1-1-11i−ii−i1-1ii−i−iii−i−i11-1-11-1i−ii−i11-1-111-11-1-1-1111-1-1111-1-1-1-11i−ii−i1-1ii−i−iii−i−i11-1-11-1i−ii−i11-1-111-11-1-1-1111-1-1111-1-1-1-11i−ii−i1-1ii−i−iii−i−i11-1-11-1i−ii−i
χ1011-1-111-11-1-1-1111-1-1111-1-1-1-11i−ii−i1-1ii−i−iii−i−i-1-111-11−ii−ii11-1-111-11-1-1-1111-1-1111-1-1-1-11i−ii−i1-1ii−i−iii−i−i-1-111-11−ii−ii11-1-111-11-1-1-1111-1-1111-1-1-1-11i−ii−i1-1ii−i−iii−i−i-1-111-11−ii−ii
χ1111-1-111-11-1-1-1111-1-1111-1-1-1-11−ii−ii1-1−i−iii−i−iii11-1-11-1−ii−ii11-1-111-11-1-1-1111-1-1111-1-1-1-11−ii−ii1-1−i−iii−i−iii11-1-11-1−ii−ii11-1-111-11-1-1-1111-1-1111-1-1-1-11−ii−ii1-1−i−iii−i−iii11-1-11-1−ii−ii
χ1211-1-111-11-1-1-1111-1-1111-1-1-1-11−ii−ii1-1−i−iii−i−iii-1-111-11i−ii−i11-1-111-11-1-1-1111-1-1111-1-1-1-11−ii−ii1-1−i−iii−i−iii-1-111-11i−ii−i11-1-111-11-1-1-1111-1-1111-1-1-1-11−ii−ii1-1−i−iii−i−iii-1-111-11i−ii−i
χ1311-1-111-11-1-1-1-1-11111-1-1-111-1-11-1-111111-1-1-1-11111-1-1-111-1-1111-1-111-11-1-1-1-1-11111-1-1-111-1-11-1-111111-1-1-1-11111-1-1-111-1-1111-1-111-11-1-1-1-1-11111-1-1-111-1-11-1-111111-1-1-1-11111-1-1-111-1-11
χ1411-1-111-11-1-1-1-1-11111-1-1-111-1-11-1-111111-1-1-1-111-1-1111-1-111-111-1-111-11-1-1-1-1-11111-1-1-111-1-11-1-111111-1-1-1-111-1-1111-1-111-111-1-111-11-1-1-1-1-11111-1-1-111-1-11-1-111111-1-1-1-111-1-1111-1-111-1
χ1511-1-111-11-1-1-1-1-11111-1-1-111-1-1-111-111-1-11111-1-111-1-1-11-111-111-1-111-11-1-1-1-1-11111-1-1-111-1-1-111-111-1-11111-1-111-1-1-11-111-111-1-111-11-1-1-1-1-11111-1-1-111-1-1-111-111-1-11111-1-111-1-1-11-111-1
χ1611-1-111-11-1-1-1-1-11111-1-1-111-1-1-111-111-1-11111-1-1-1-1111-11-1-1111-1-111-11-1-1-1-1-11111-1-1-111-1-1-111-111-1-11111-1-1-1-1111-11-1-1111-1-111-11-1-1-1-1-11111-1-1-111-1-1-111-111-1-11111-1-1-1-1111-11-1-11
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χ2522222-12-1-1-1-2-22-2-22-111-1111-100001-13−33−3−33−33000000000022222-12-1-1-1-2-22-2-22-111-1111-100001-13−33−3−33−33000000000022222-12-1-1-1-2-22-2-22-111-1111-100001-13−33−3−33−330000000000
χ2622222-12-1-1-1-2-22-2-22-111-1111-100001-1−33−333−33−3000000000022222-12-1-1-1-2-22-2-22-111-1111-100001-1−33−333−33−3000000000022222-12-1-1-1-2-22-2-22-111-1111-100001-1−33−333−33−30000000000
χ2722-2-222-22-2-222-2-2-22222-2-2-22-20000-2200000000000000000022-2-222-22-2-222-2-2-22222-2-2-22-20000-2200000000000000000022-2-222-22-2-222-2-2-22222-2-2-22-20000-22000000000000000000
χ2822-2-222-22-2-22-22-22-22-2-2-222220000-2-200000000000000000022-2-222-22-2-22-22-22-22-2-2-222220000-2-200000000000000000022-2-222-22-2-22-22-22-22-2-2-222220000-2-2000000000000000000
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χ3022-2-22-1-2-11122-2-2-22-1-1-1111-1100001-1−333−3−333−3000000000022-2-22-1-2-11122-2-2-22-1-1-1111-1100001-1−333−3−333−3000000000022-2-22-1-2-11122-2-2-22-1-1-1111-1100001-1−333−3−333−30000000000
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χ49111111111111111111111111111111111111111111111111−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ5011111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1−1+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+i32−1+i32−1+i32−1+i32−1+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−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+i321+i321+i321+i321+i32
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χ6111-1-111-11-1-1-1-1-11111-1-1-111-1-11-1-111111-1-1-1-11111-1-1-111-1-11−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32
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χ100111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−1−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+i32−1−i32−1−i321+i321+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+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−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ10111111111111-1-11-1-11-1-11-1-11-1ii−i−i1-1iiii−i−i−i−i1111-1-1ii−i−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32ζ11ζ11−ζ11−ζ11−1−i321+i32ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11−1−i32−1−i32−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32ζ7ζ7−ζ7−ζ7−1+i321−i32ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−1+i32−1+i32−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7
χ10211111111111-1-11-1-11-1-11-1-11-1ii−i−i1-1iiii−i−i−i−i-1-1-1-111−i−iii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32ζ11ζ11−ζ11−ζ11−1−i321+i32ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ111+i321+i321+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32ζ7ζ7−ζ7−ζ7−1+i321−i32ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ71−i321−i321−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7
χ10311111111111-1-11-1-11-1-11-1-11-1−i−iii1-1−i−i−i−iiiii1111-1-1−i−iii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−ζ11−ζ11ζ11ζ11−1−i321+i32−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−1−i32−1−i32−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−ζ7−ζ7ζ7ζ7−1+i321−i32−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−1+i32−1+i32−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7
χ10411111111111-1-11-1-11-1-11-1-11-1−i−iii1-1−i−i−i−iiiii-1-1-1-111ii−i−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−ζ11−ζ11ζ11ζ11−1−i321+i32−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ111+i321+i321+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−ζ7−ζ7ζ7ζ7−1+i321−i32−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ71−i321−i321−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7
χ10511-1-111-11-1-1-1111-1-1111-1-1-1-11i−ii−i1-1ii−i−iii−i−i11-1-11-1i−ii−i−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32ζ11−ζ11ζ11−ζ11−1−i321+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11−1−i32−1−i321+i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32ζ7−ζ7ζ7−ζ7−1+i321−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7−1+i32−1+i321−i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7
χ10611-1-111-11-1-1-1111-1-1111-1-1-1-11i−ii−i1-1ii−i−iii−i−i-1-111-11−ii−ii−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32ζ11−ζ11ζ11−ζ11−1−i321+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ111+i321+i32−1−i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ11−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32ζ7−ζ7ζ7−ζ7−1+i321−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ71−i321−i32−1+i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ7
χ10711-1-111-11-1-1-1111-1-1111-1-1-1-11−ii−ii1-1−i−iii−i−iii11-1-11-1−ii−ii−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−ζ11ζ11−ζ11ζ11−1−i321+i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−1−i32−1−i321+i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−ζ7ζ7−ζ7ζ7−1+i321−i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−1+i32−1+i321−i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7
χ10811-1-111-11-1-1-1111-1-1111-1-1-1-11−ii−ii1-1−i−iii−i−iii-1-111-11i−ii−i−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−ζ11ζ11−ζ11ζ11−1−i321+i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ111+i321+i32−1−i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ11−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−ζ7ζ7−ζ7ζ7−1+i321−i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ71−i321−i32−1+i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ7
χ10911-1-111-11-1-1-1-1-11111-1-1-111-1-11-1-111111-1-1-1-11111-1-1-111-1-11−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32
χ11011-1-111-11-1-1-1-1-11111-1-1-111-1-11-1-111111-1-1-1-111-1-1111-1-111-1−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32
χ11111-1-111-11-1-1-1-1-11111-1-1-111-1-1-111-111-1-11111-1-111-1-1-11-111-1−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i32
χ11211-1-111-11-1-1-1-1-11111-1-1-111-1-1-111-111-1-11111-1-1-1-1111-11-1-11−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−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−i321+i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+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+i321−i321−i32−1+i32
χ1132222222222-22-2-22-2222222-2-20000-2-2000000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i300001+i31+i3000000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i300001−i31−i3000000000000000000
χ1142222222222-2-22-2-222-2-22-2-2-220000-22000000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i31+i31+i3−1−i300001+i3−1−i3000000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i31−i31−i3−1+i300001−i3−1+i3000000000000000000
χ11522222-12-1-1-1222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-10000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i320000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i320000000000
χ11622222-12-1-1-1222222-1-1-1-1-1-1-1-1-2-2-2-2-1-1111111110000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i320000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i320000000000
χ11722222-12-1-1-12-2-22-2-2-111-111-112i2i−2i−2i-11−i−i−i−iiiii0000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i31+i31+i3−1−i31+i31+i31+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i322ζ112ζ11−2ζ11−2ζ111+i32−1−i32−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ110000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i31−i31−i3−1+i31−i31−i31−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i322ζ72ζ7−2ζ7−2ζ71−i32−1+i32−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ70000000000
χ11822222-12-1-1-12-2-22-2-2-111-111-11−2i−2i2i2i-11iiii−i−i−i−i0000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i31+i31+i3−1−i31+i31+i31+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−2ζ11−2ζ112ζ112ζ111+i32−1−i32ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ110000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i31−i31−i3−1+i31−i31−i31−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−2ζ7−2ζ72ζ72ζ71−i32−1+i32ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ70000000000
χ11922222-12-1-1-1-22-2-22-2-1-1-1-1-1-111000011−i3i3−i3i3−i3i3−i3i30000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i3−1−i31+i31+i3−1−i31+i31+i321+i321+i321+i321+i321+i32−1−i32−1−i320000−1−i32−1−i32−3+i323−i32−3+i323−i32−3+i323−i32−3+i323−i320000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i3−1+i31−i31−i3−1+i31−i31−i321−i321−i321−i321−i321−i32−1+i32−1+i320000−1+i32−1+i323+i32−3−i323+i32−3−i323+i32−3−i323+i32−3−i320000000000
χ12022222-12-1-1-1-22-2-22-2-1-1-1-1-1-111000011i3−i3i3−i3i3−i3i3−i30000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i3−1−i31+i31+i3−1−i31+i31+i321+i321+i321+i321+i321+i32−1−i32−1−i320000−1−i32−1−i323−i32−3+i323−i32−3+i323−i32−3+i323−i32−3+i320000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i3−1+i31−i31−i3−1+i31−i31−i321−i321−i321−i321−i321−i32−1+i32−1+i320000−1+i32−1+i32−3−i323+i32−3−i323+i32−3−i323+i32−3−i323+i320000000000
χ12122222-12-1-1-1-2-22-2-22-111-1111-100001-13−33−3−33−330000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i31+i3−1−i31+i31+i3−1−i31+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i320000−1−i321+i322ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ110000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i31−i3−1+i31−i31−i3−1+i31−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i320000−1+i321−i32−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ110000000000
χ12222222-12-1-1-1-2-22-2-22-111-1111-100001-1−33−333−33−30000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i31+i3−1−i31+i31+i3−1−i31+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i320000−1−i321+i32−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ110000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i31−i3−1+i31−i31−i3−1+i31−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i320000−1+i321−i32ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ110000000000
χ12322-2-222-22-2-222-2-2-22222-2-2-22-20000-22000000000000000000−1−i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i300001+i3−1−i3000000000000000000−1+i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i300001−i3−1+i3000000000000000000
χ12422-2-222-22-2-22-22-22-22-2-2-222220000-2-2000000000000000000−1−i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i300001+i31+i3000000000000000000−1+i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i300001−i31−i3000000000000000000
χ12522-2-22-1-2-11122-2-2-22-1-1-1111-1100001-13−3−333−3−330000000000−1−i3−1−i31+i31+i3−1−i31+i321+i31+i32−1−i32−1−i32−1−i3−1−i31+i31+i31+i3−1−i31+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i320000−1−i321+i322ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ110000000000−1+i3−1+i31−i31−i3−1+i31−i321−i31−i32−1+i32−1+i32−1+i3−1+i31−i31−i31−i3−1+i31−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i320000−1+i321−i32−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ110000000000
χ12622-2-22-1-2-11122-2-2-22-1-1-1111-1100001-1−333−3−333−30000000000−1−i3−1−i31+i31+i3−1−i31+i321+i31+i32−1−i32−1−i32−1−i3−1−i31+i31+i31+i3−1−i31+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i320000−1−i321+i32−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ110000000000−1+i3−1+i31−i31−i3−1+i31−i321−i31−i32−1+i32−1+i32−1+i3−1+i31−i31−i31−i3−1+i31−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i320000−1+i321−i32ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ110000000000
χ12722-2-22-1-2-1112-22-22-2-1111-1-1-1-1000011−i3i3i3−i3i3−i3−i3i30000000000−1−i3−1−i31+i31+i3−1−i31+i321+i31+i32−1−i32−1−i32−1−i31+i3−1−i31+i3−1−i31+i31+i32−1−i32−1−i32−1−i321+i321+i321+i321+i320000−1−i32−1−i32−3+i323−i323−i32−3+i323−i32−3+i32−3+i323−i320000000000−1+i3−1+i31−i31−i3−1+i31−i321−i31−i32−1+i32−1+i32−1+i31−i3−1+i31−i3−1+i31−i31−i32−1+i32−1+i32−1+i321−i321−i321−i321−i320000−1+i32−1+i323+i32−3−i32−3−i323+i32−3−i323+i323+i32−3−i320000000000
χ12822-2-22-1-2-1112-22-22-2-1111-1-1-1-1000011i3−i3−i3i3−i3i3i3−i30000000000−1−i3−1−i31+i31+i3−1−i31+i321+i31+i32−1−i32−1−i32−1−i31+i3−1−i31+i3−1−i31+i31+i32−1−i32−1−i32−1−i321+i321+i321+i321+i320000−1−i32−1−i323−i32−3+i32−3+i323−i32−3+i323−i323−i32−3+i320000000000−1+i3−1+i31−i31−i3−1+i31−i321−i31−i32−1+i32−1+i32−1+i31−i3−1+i31−i3−1+i31−i31−i32−1+i32−1+i32−1+i321−i321−i321−i321−i320000−1+i32−1+i32−3−i323+i323+i32−3−i323+i32−3−i32−3−i323+i320000000000
χ12922-2-22-1-2-111-2222-2-2-1-1-11111-12i−2i2i−2i-11−i−iii−i−iii0000000000−1−i3−1−i31+i31+i3−1−i31+i321+i31+i32−1−i32−1−i321+i3−1−i3−1−i3−1−i31+i31+i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i322ζ11−2ζ112ζ11−2ζ111+i32−1−i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ110000000000−1+i3−1+i31−i31−i3−1+i31−i321−i31−i32−1+i32−1+i321−i3−1+i3−1+i3−1+i31−i31−i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i322ζ7−2ζ72ζ7−2ζ71−i32−1+i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ70000000000
χ13022-2-22-1-2-111-2222-2-2-1-1-11111-1−2i2i−2i2i-11ii−i−iii−i−i0000000000−1−i3−1−i31+i31+i3−1−i31+i321+i31+i32−1−i32−1−i321+i3−1−i3−1−i3−1−i31+i31+i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−2ζ112ζ11−2ζ112ζ111+i32−1−i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ110000000000−1+i3−1+i31−i31−i3−1+i31−i321−i31−i32−1+i32−1+i321−i3−1+i3−1+i3−1+i31−i31−i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−2ζ72ζ7−2ζ72ζ71−i32−1+i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ70000000000
χ13122-2-22-1-2-111-2-2-2222-1111-1-1112-2-22-1-1-1-11111-1-10000000000−1−i3−1−i31+i31+i3−1−i31+i321+i31+i32−1−i32−1−i321+i31+i31+i3−1−i3−1−i3−1−i31+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i31+i31+i3−1−i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i320000000000−1+i3−1+i31−i31−i3−1+i31−i321−i31−i32−1+i32−1+i321−i31−i31−i3−1+i3−1+i3−1+i31−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i31−i31−i3−1+i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i320000000000
χ13222-2-22-1-2-111-2-2-2222-1111-1-111-222-2-1-111-1-1-1-1110000000000−1−i3−1−i31+i31+i3−1−i31+i321+i31+i32−1−i32−1−i321+i31+i31+i3−1−i3−1−i3−1−i31+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i3−1−i3−1−i31+i31+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i320000000000−1+i3−1+i31−i31−i3−1+i31−i321−i31−i32−1+i32−1+i321−i31−i31−i3−1+i3−1+i3−1+i31−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i3−1+i3−1+i31−i31−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i320000000000
χ1334444-44-4444000000-400-40000000000000000000000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i3−2−2i32+2i3−2−2i3−2−2i3−2−2i30000002+2i3002+2i30000000000000000000000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i3−2+2i32−2i3−2+2i3−2+2i3−2+2i30000002−2i3002−2i30000000000000000000000000000
χ1344444-4-2-4-2-2-20000002−2i32i32−2i32i300000000000000000000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i31+i32+2i31+i31+i31+i3000000−1−i3−3+i33−i3−1−i3−3+i33−i300000000000000000000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i31−i32−2i31−i31−i31−i3000000−1+i33+i3−3−i3−1+i33+i3−3−i300000000000000000000000000
χ1354444-4-2-4-2-2-200000022i3−2i322i3−2i300000000000000000000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i31+i32+2i31+i31+i31+i3000000−1−i33−i3−3+i3−1−i33−i3−3+i300000000000000000000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i31−i32−2i31−i31−i31−i3000000−1+i3−3−i33+i3−1+i3−3−i33+i300000000000000000000000000
χ13644-4-4-4444-4-4000000-40040000000000000000000000000000−2−2i3−2−2i32+2i32+2i32+2i3−2−2i3−2−2i3−2−2i32+2i32+2i30000002+2i300−2−2i30000000000000000000000000000−2+2i3−2+2i32−2i32−2i32−2i3−2+2i3−2+2i3−2+2i32−2i32−2i30000002−2i300−2+2i30000000000000000000000000000
χ13744-4-4-4-24-2220000002−2i32i3-22i3−2i300000000000000000000000000−2−2i3−2−2i32+2i32+2i32+2i31+i3−2−2i31+i3−1−i3−1−i3000000−1−i3−3+i33−i31+i33−i3−3+i300000000000000000000000000−2+2i3−2+2i32−2i32−2i32−2i31−i3−2+2i31−i3−1+i3−1+i3000000−1+i33+i3−3−i31−i3−3−i33+i300000000000000000000000000
χ13844-4-4-4-24-22200000022i3−2i3-2−2i32i300000000000000000000000000−2−2i3−2−2i32+2i32+2i32+2i31+i3−2−2i31+i3−1−i3−1−i3000000−1−i33−i3−3+i31+i3−3+i33−i300000000000000000000000000−2+2i3−2+2i32−2i32−2i32−2i31−i3−2+2i31−i3−1+i3−1+i3000000−1+i3−3−i33+i31−i33+i3−3−i300000000000000000000000000
χ1394-44i−4i040-44i−4i00000000000000000000000000002-22i−2i000000−2−2i32+2i34ζ11−4ζ110−2−2i302+2i34ζ11−4ζ110000000000000000000000000000−1−i31+i32ζ11−2ζ11000000−2+2i32−2i34ζ7−4ζ70−2+2i302−2i34ζ7−4ζ70000000000000000000000000000−1+i31−i32ζ7−2ζ7000000
χ1404-44i−4i040-44i−4i0000000000000000000000000000-22−2i2i000000−2−2i32+2i34ζ11−4ζ110−2−2i302+2i34ζ11−4ζ1100000000000000000000000000001+i3−1−i3−2ζ112ζ11000000−2+2i32−2i34ζ7−4ζ70−2+2i302−2i34ζ7−4ζ700000000000000000000000000001−i3−1+i3−2ζ72ζ7000000
χ1414-4−4i4i040-4−4i4i00000000000000000000000000002-2−2i2i000000−2−2i32+2i3−4ζ114ζ110−2−2i302+2i3−4ζ114ζ110000000000000000000000000000−1−i31+i3−2ζ112ζ11000000−2+2i32−2i3−4ζ74ζ70−2+2i302−2i3−4ζ74ζ70000000000000000000000000000−1+i31−i3−2ζ72ζ7000000
χ1424-4−4i4i040-4−4i4i0000000000000000000000000000-222i−2i000000−2−2i32+2i3−4ζ114ζ110−2−2i302+2i3−4ζ114ζ1100000000000000000000000000001+i3−1−i32ζ11−2ζ11000000−2+2i32−2i3−4ζ74ζ70−2+2i302−2i3−4ζ74ζ700000000000000000000000000001−i3−1+i32ζ7−2ζ7000000
χ1438-88i−8i0-404−4i4i00000000000000000000000000000000000000−4−4i34+4i38ζ11−8ζ1102+2i30−2−2i3−4ζ114ζ1100000000000000000000000000000000000000−4+4i34−4i38ζ7−8ζ702−2i30−2+2i3−4ζ74ζ700000000000000000000000000000000000000
χ1448-8−8i8i0-4044i−4i00000000000000000000000000000000000000−4−4i34+4i3−8ζ118ζ1102+2i30−2−2i34ζ11−4ζ1100000000000000000000000000000000000000−4+4i34−4i3−8ζ78ζ702−2i30−2+2i34ζ7−4ζ700000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.