Finite Group Databasebeta

← Group #11771423

Character table — Group #11771423

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111122222244444444444488888888888888881212121224242424242411112222224444444444448888888888888888121212122424242424241111222222444444444444888888888888888812121212242424242424
order12442346121224688881224242424612161616162424484848484848484888882416161616361212631261212612624242424122424242461248484848242448484848484848482424242461248484848361212631261212612624242424122424242461248484848242448484848484848482424242461248484848
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
χ51111111111111-1-1-1-11-1-1-1-111ii−i−i-1-1iiii−i−i−i−i1111-1-1ii−i−i1111111111111-1-1-1-11-1-1-1-111ii−i−i-1-1iiii−i−i−i−i1111-1-1ii−i−i1111111111111-1-1-1-11-1-1-1-111ii−i−i-1-1iiii−i−i−i−i1111-1-1ii−i−i
χ61111111111111-1-1-1-11-1-1-1-111ii−i−i-1-1iiii−i−i−i−i-1-1-1-111−i−iii1111111111111-1-1-1-11-1-1-1-111ii−i−i-1-1iiii−i−i−i−i-1-1-1-111−i−iii1111111111111-1-1-1-11-1-1-1-111ii−i−i-1-1iiii−i−i−i−i-1-1-1-111−i−iii
χ71111111111111-1-1-1-11-1-1-1-111−i−iii-1-1−i−i−i−iiiii1111-1-1−i−iii1111111111111-1-1-1-11-1-1-1-111−i−iii-1-1−i−i−i−iiiii1111-1-1−i−iii1111111111111-1-1-1-11-1-1-1-111−i−iii-1-1−i−i−i−iiiii1111-1-1−i−iii
χ81111111111111-1-1-1-11-1-1-1-111−i−iii-1-1−i−i−i−iiiii-1-1-1-111ii−i−i1111111111111-1-1-1-11-1-1-1-111−i−iii-1-1−i−i−i−iiiii-1-1-1-111ii−i−i1111111111111-1-1-1-11-1-1-1-111−i−iii-1-1−i−i−i−iiiii-1-1-1-111ii−i−i
χ911-1-111-11-1-1-111i−ii−i-1ii−i−i-11ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ii−i−i1-1−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ2311-1-111-11-1-1-111i−ii−i-1ii−i−i-11ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ii−i−i1-1−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ2311-1-111-11-1-1-111i−ii−i-1ii−i−i-11ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ii−i−i1-1−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ1011-1-111-11-1-1-111i−ii−i-1ii−i−i-11ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−i−iii-11ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ2311-1-111-11-1-1-111i−ii−i-1ii−i−i-11ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−i−iii-11ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ2311-1-111-11-1-1-111i−ii−i-1ii−i−i-11ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−i−iii-11ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
χ1111-1-111-11-1-1-111i−ii−i-1ii−i−i-11−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ii−i−i1-1ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ2311-1-111-11-1-1-111i−ii−i-1ii−i−i-11−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ii−i−i1-1ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ2311-1-111-11-1-1-111i−ii−i-1ii−i−i-11−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ii−i−i1-1ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
χ1211-1-111-11-1-1-111i−ii−i-1ii−i−i-11−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−i−iii-11−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ2311-1-111-11-1-1-111i−ii−i-1ii−i−i-11−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−i−iii-11−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ2311-1-111-11-1-1-111i−ii−i-1ii−i−i-11−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−i−iii-11−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ1311-1-111-11-1-1-111−ii−ii-1−i−iii-11−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ii−i−i-11−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ1311-1-111-11-1-1-111−ii−ii-1−i−iii-11−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ii−i−i-11−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ1311-1-111-11-1-1-111−ii−ii-1−i−iii-11−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ii−i−i-11−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ1411-1-111-11-1-1-111−ii−ii-1−i−iii-11−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−i−iii1-1ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ1311-1-111-11-1-1-111−ii−ii-1−i−iii-11−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−i−iii1-1ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ1311-1-111-11-1-1-111−ii−ii-1−i−iii-11−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−i−iii1-1ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ1511-1-111-11-1-1-111−ii−ii-1−i−iii-11ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−iiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ii−i−i-11ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ1311-1-111-11-1-1-111−ii−ii-1−i−iii-11ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−iiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ii−i−i-11ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ1311-1-111-11-1-1-111−ii−ii-1−i−iii-11ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−iiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ii−i−i-11ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ1611-1-111-11-1-1-111−ii−ii-1−i−iii-11ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−iiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−i−iii1-1−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ1311-1-111-11-1-1-111−ii−ii-1−i−iii-11ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−iiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−i−iii1-1−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ1311-1-111-11-1-1-111−ii−ii-1−i−iii-11ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−iiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−i−iii1-1−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ172222222222-2-2222-2-222222-2-20000-2-20000000000000000002222222222-2-2222-2-222222-2-20000-2-20000000000000000002222222222-2-2222-2-222222-2-20000-2-2000000000000000000
χ182222222222-2-22-2-2222-2-2-2-2-2-20000220000000000000000002222222222-2-22-2-2222-2-2-2-2-2-20000220000000000000000002222222222-2-22-2-2222-2-2-2-2-2-2000022000000000000000000
χ1922222-12-1-1-122-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1000000000022222-12-1-1-122-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1000000000022222-12-1-1-122-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-10000000000
χ2022222-12-1-1-122-12222-1-1-1-1-1-1-1-2-2-2-2-1-111111111000000000022222-12-1-1-122-12222-1-1-1-1-1-1-1-2-2-2-2-1-111111111000000000022222-12-1-1-122-12222-1-1-1-1-1-1-1-2-2-2-2-1-1111111110000000000
χ2122222-12-1-1-122-1-2-2-2-2-11111-1-12i2i−2i−2i11−i−i−i−iiiii000000000022222-12-1-1-122-1-2-2-2-2-11111-1-12i2i−2i−2i11−i−i−i−iiiii000000000022222-12-1-1-122-1-2-2-2-2-11111-1-12i2i−2i−2i11−i−i−i−iiiii0000000000
χ2222222-12-1-1-122-1-2-2-2-2-11111-1-1−2i−2i2i2i11iiii−i−i−i−i000000000022222-12-1-1-122-1-2-2-2-2-11111-1-1−2i−2i2i2i11iiii−i−i−i−i000000000022222-12-1-1-122-1-2-2-2-2-11111-1-1−2i−2i2i2i11iiii−i−i−i−i0000000000
χ2322222-12-1-1-1-2-2-122-2-2-1-1-1-1-111000011−i3i3−i3i3−i3i3−i3i3000000000022222-12-1-1-1-2-2-122-2-2-1-1-1-1-111000011−i3i3−i3i3−i3i3−i3i3000000000022222-12-1-1-1-2-2-122-2-2-1-1-1-1-111000011−i3i3−i3i3−i3i3−i3i30000000000
χ2422222-12-1-1-1-2-2-122-2-2-1-1-1-1-111000011i3−i3i3−i3i3−i3i3−i3000000000022222-12-1-1-1-2-2-122-2-2-1-1-1-1-111000011i3−i3i3−i3i3−i3i3−i3000000000022222-12-1-1-1-2-2-122-2-2-1-1-1-1-111000011i3−i3i3−i3i3−i3i3−i30000000000
χ2522222-12-1-1-1-2-2-1-2-222-11111110000-1-13−33−3−33−33000000000022222-12-1-1-1-2-2-1-2-222-11111110000-1-13−33−3−33−33000000000022222-12-1-1-1-2-2-1-2-222-11111110000-1-13−33−3−33−330000000000
χ2622222-12-1-1-1-2-2-1-2-222-11111110000-1-1−33−333−33−3000000000022222-12-1-1-1-2-2-1-2-222-11111110000-1-1−33−333−33−3000000000022222-12-1-1-1-2-2-1-2-222-11111110000-1-1−33−333−33−30000000000
χ2722-2-222-22-2-22-222i−2i−2i2i-22i2i−2i−2i2-20000−2i2i00000000000000000022-2-222-22-2-22-222i−2i−2i2i-22i2i−2i−2i2-20000−2i2i00000000000000000022-2-222-22-2-22-222i−2i−2i2i-22i2i−2i−2i2-20000−2i2i000000000000000000
χ2822-2-222-22-2-22-22−2i2i2i−2i-2−2i−2i2i2i2-200002i−2i00000000000000000022-2-222-22-2-22-22−2i2i2i−2i-2−2i−2i2i2i2-200002i−2i00000000000000000022-2-222-22-2-22-22−2i2i2i−2i-2−2i−2i2i2i2-200002i−2i000000000000000000
χ2922-2-22-1-2-1112-2-12i−2i−2i2i1−i−iii-110000i−i−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13000000000022-2-22-1-2-1112-2-12i−2i−2i2i1−i−iii-110000i−i−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13000000000022-2-22-1-2-1112-2-12i−2i−2i2i1−i−iii-110000i−i−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ130000000000
χ3022-2-22-1-2-1112-2-12i−2i−2i2i1−i−iii-110000i−iζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13000000000022-2-22-1-2-1112-2-12i−2i−2i2i1−i−iii-110000i−iζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13000000000022-2-22-1-2-1112-2-12i−2i−2i2i1−i−iii-110000i−iζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ130000000000
χ3122-2-22-1-2-1112-2-1−2i2i2i−2i1ii−i−i-110000−iiζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23000000000022-2-22-1-2-1112-2-1−2i2i2i−2i1ii−i−i-110000−iiζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23000000000022-2-22-1-2-1112-2-1−2i2i2i−2i1ii−i−i-110000−iiζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ230000000000
χ3222-2-22-1-2-1112-2-1−2i2i2i−2i1ii−i−i-110000−ii−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23000000000022-2-22-1-2-1112-2-1−2i2i2i−2i1ii−i−i-110000−ii−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23000000000022-2-22-1-2-1112-2-1−2i2i2i−2i1ii−i−i-110000−ii−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ230000000000
χ3322-2-22-1-2-111-22-12i−2i2i−2i1−i−iii1-12ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−ii−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13000000000022-2-22-1-2-111-22-12i−2i2i−2i1−i−iii1-12ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−ii−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13000000000022-2-22-1-2-111-22-12i−2i2i−2i1−i−iii1-12ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−ii−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ130000000000
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χ662222222222-2-22-2-2222-2-2-2-2-2-2000022000000000000000000−1+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+i3−1+i31−i31−i31−i31−i31−i31−i30000−1+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−i3−1−i31+i31+i31+i31+i31+i31+i30000−1−i3−1−i3000000000000000000
χ6722222-12-1-1-122-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-10000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−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−i31+i32−1−i3−1−i3−1−i3−1−i31+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
χ6822222-12-1-1-122-12222-1-1-1-1-1-1-1-2-2-2-2-1-1111111110000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−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−i31+i32−1−i3−1−i3−1−i3−1−i31+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
χ6922222-12-1-1-122-1-2-2-2-2-11111-1-12i2i−2i−2i11−i−i−i−iiiii0000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i31−i31−i31−i31−i32−1+i32−1+i32−1+i32−1+i321−i321−i322ζ142ζ14−2ζ14−2ζ14−1+i32−1+i32−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ140000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i31+i31+i31+i31+i32−1−i32−1−i32−1−i32−1−i321+i321+i322ζ222ζ22−2ζ22−2ζ22−1−i32−1−i32−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ220000000000
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χ7222222-12-1-1-1-2-2-122-2-2-1-1-1-1-111000011i3−i3i3−i3i3−i3i3−i30000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i31−i31−i32−1+i3−1+i31−i31−i31−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+i31+i31+i32−1−i3−1−i31+i31+i31+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
χ7322222-12-1-1-1-2-2-1-2-222-11111110000-1-13−33−3−33−330000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i31−i31−i321−i31−i3−1+i3−1+i31−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200001−i321−i32−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ220000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i31+i31+i321+i31+i3−1−i3−1−i31+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200001+i321+i322ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ220000000000
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χ1132222222222-2-2222-2-222222-2-20000-2-2000000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+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−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i300001−i31−i3000000000000000000
χ1142222222222-2-22-2-2222-2-2-2-2-2-2000022000000000000000000−1−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−i3−1−i31+i31+i31+i31+i31+i31+i30000−1−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+i3−1+i31−i31−i31−i31−i31−i31−i30000−1+i3−1+i3000000000000000000
χ11522222-12-1-1-122-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-10000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+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+i31−i32−1+i3−1+i3−1+i3−1+i31−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
χ11622222-12-1-1-122-12222-1-1-1-1-1-1-1-2-2-2-2-1-1111111110000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+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+i31−i32−1+i3−1+i3−1+i3−1+i31−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
χ11722222-12-1-1-122-1-2-2-2-2-11111-1-12i2i−2i−2i11−i−i−i−iiiii0000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i31+i31+i31+i31+i32−1−i32−1−i32−1−i32−1−i321+i321+i322ζ222ζ22−2ζ22−2ζ22−1−i32−1−i32−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ220000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i31−i31−i31−i31−i32−1+i32−1+i32−1+i32−1+i321−i321−i322ζ142ζ14−2ζ14−2ζ14−1+i32−1+i32−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ140000000000
χ11822222-12-1-1-122-1-2-2-2-2-11111-1-1−2i−2i2i2i11iiii−i−i−i−i0000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i31+i31+i31+i31+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−2ζ22−2ζ222ζ222ζ22−1−i32−1−i32ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ220000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i31−i31−i31−i31−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−2ζ14−2ζ142ζ142ζ14−1+i32−1+i32ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ140000000000
χ11922222-12-1-1-1-2-2-122-2-2-1-1-1-1-111000011−i3i3−i3i3−i3i3−i3i30000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i31+i31+i32−1−i3−1−i31+i31+i31+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−i31−i31−i32−1+i3−1+i31−i31−i31−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
χ12022222-12-1-1-1-2-2-122-2-2-1-1-1-1-111000011i3−i3i3−i3i3−i3i3−i30000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i31+i31+i32−1−i3−1−i31+i31+i31+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−i31−i31−i32−1+i3−1+i31−i31−i31−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
χ12122222-12-1-1-1-2-2-1-2-222-11111110000-1-13−33−3−33−330000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i31+i31+i321+i31+i3−1−i3−1−i31+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200001+i321+i322ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ220000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i31−i31−i321−i31−i3−1+i3−1+i31−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200001−i321−i32−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ220000000000
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χ12822-2-22-1-2-1112-2-1−2i2i2i−2i1ii−i−i-110000−ii−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ230000000000−1−i3−1−i31+i31+i3−1−i31+i321+i31+i32−1−i32−1−i32−1−i31+i31+i32−2ζ222ζ222ζ22−2ζ22−1−i32ζ22ζ22−ζ22−ζ221+i32−1−i320000−ζ22ζ222ζ5+ζ13−2ζ5−ζ13−2ζ5−ζ132ζ5+ζ13−ζ7−2ζ23ζ7+2ζ23ζ7+2ζ23−ζ7−2ζ230000000000−1+i3−1+i31−i31−i3−1+i31−i321−i31−i32−1+i32−1+i32−1+i31−i31−i32−2ζ142ζ142ζ14−2ζ14−1+i32ζ14ζ14−ζ14−ζ141−i32−1+i320000−ζ14ζ14−ζ5−2ζ13ζ5+2ζ13ζ5+2ζ13−ζ5−2ζ132ζ7+ζ23−2ζ7−ζ23−2ζ7−ζ232ζ7+ζ230000000000
χ12922-2-22-1-2-111-22-12i−2i2i−2i1−i−iii1-12ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−ii−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ130000000000−1−i3−1−i31+i31+i3−1−i31+i321+i31+i32−1−i32−1−i321+i3−1−i31+i322ζ22−2ζ222ζ22−2ζ22−1−i32−ζ22−ζ22ζ22ζ22−1−i321+i32−2ζ72ζ72ζ13−2ζ13−ζ22ζ22ζ7ζ7−ζ7−ζ7−ζ13−ζ13ζ13ζ130000000000−1+i3−1+i31−i31−i3−1+i31−i321−i31−i32−1+i32−1+i321−i3−1+i31−i322ζ14−2ζ142ζ14−2ζ14−1+i32−ζ14−ζ14ζ14ζ14−1+i321−i32−2ζ232ζ232ζ5−2ζ5−ζ14ζ14ζ23ζ23−ζ23−ζ23−ζ5−ζ5ζ5ζ50000000000
χ13022-2-22-1-2-111-22-12i−2i2i−2i1−i−iii1-1−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−iiζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ130000000000−1−i3−1−i31+i31+i3−1−i31+i321+i31+i32−1−i32−1−i321+i3−1−i31+i322ζ22−2ζ222ζ22−2ζ22−1−i32−ζ22−ζ22ζ22ζ22−1−i321+i322ζ7−2ζ7−2ζ132ζ13−ζ22ζ22−ζ7−ζ7ζ7ζ7ζ13ζ13−ζ13−ζ130000000000−1+i3−1+i31−i31−i3−1+i31−i321−i31−i32−1+i32−1+i321−i3−1+i31−i322ζ14−2ζ142ζ14−2ζ14−1+i32−ζ14−ζ14ζ14ζ14−1+i321−i322ζ23−2ζ23−2ζ52ζ5−ζ14ζ14−ζ23−ζ23ζ23ζ23ζ5ζ5−ζ5−ζ50000000000
χ13122-2-22-1-2-111-22-1−2i2i−2i2i1ii−i−i1-1−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23i−iζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ230000000000−1−i3−1−i31+i31+i3−1−i31+i321+i31+i32−1−i32−1−i321+i3−1−i31+i32−2ζ222ζ22−2ζ222ζ22−1−i32ζ22ζ22−ζ22−ζ22−1−i321+i322ζ13−2ζ13−2ζ72ζ7ζ22−ζ22−ζ13−ζ13ζ13ζ13ζ7ζ7−ζ7−ζ70000000000−1+i3−1+i31−i31−i3−1+i31−i321−i31−i32−1+i32−1+i321−i3−1+i31−i32−2ζ142ζ14−2ζ142ζ14−1+i32ζ14ζ14−ζ14−ζ14−1+i321−i322ζ5−2ζ5−2ζ232ζ23ζ14−ζ14−ζ5−ζ5ζ5ζ5ζ23ζ23−ζ23−ζ230000000000
χ13222-2-22-1-2-111-22-1−2i2i−2i2i1ii−i−i1-12ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23i−i−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ230000000000−1−i3−1−i31+i31+i3−1−i31+i321+i31+i32−1−i32−1−i321+i3−1−i31+i32−2ζ222ζ22−2ζ222ζ22−1−i32ζ22ζ22−ζ22−ζ22−1−i321+i32−2ζ132ζ132ζ7−2ζ7ζ22−ζ22ζ13ζ13−ζ13−ζ13−ζ7−ζ7ζ7ζ70000000000−1+i3−1+i31−i31−i3−1+i31−i321−i31−i32−1+i32−1+i321−i3−1+i31−i32−2ζ142ζ14−2ζ142ζ14−1+i32ζ14ζ14−ζ14−ζ14−1+i321−i32−2ζ52ζ52ζ23−2ζ23ζ14−ζ14ζ5ζ5−ζ5−ζ5−ζ23−ζ23ζ23ζ230000000000
χ1334444-44-444400-40000-4000000000000000000000000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i3−2−2i32+2i3−2−2i3−2−2i3−2−2i3002+2i300002+2i3000000000000000000000000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i3−2+2i32−2i3−2+2i3−2+2i3−2+2i3002−2i300002−2i3000000000000000000000000000000
χ1344444-4-2-4-2-2-200200002−2i32i3−2i32i300000000000000000000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i31+i32+2i31+i31+i31+i300−1−i30000−1−i3−3+i33−i3−3+i33−i300000000000000000000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i31−i32−2i31−i31−i31−i300−1+i30000−1+i33+i3−3−i33+i3−3−i300000000000000000000000000
χ1354444-4-2-4-2-2-2002000022i3−2i32i3−2i300000000000000000000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i31+i32+2i31+i31+i31+i300−1−i30000−1−i33−i3−3+i33−i3−3+i300000000000000000000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i31−i32−2i31−i31−i31−i300−1+i30000−1+i3−3−i33+i3−3−i33+i300000000000000000000000000
χ13644-4-4-4444-4-400-400004000000000000000000000000000000−2−2i3−2−2i32+2i32+2i32+2i3−2−2i3−2−2i3−2−2i32+2i32+2i3002+2i30000−2−2i3000000000000000000000000000000−2+2i3−2+2i32−2i32−2i32−2i3−2+2i3−2+2i3−2+2i32−2i32−2i3002−2i30000−2+2i3000000000000000000000000000000
χ13744-4-4-4-24-2220020000-223−23−232300000000000000000000000000−2−2i3−2−2i32+2i32+2i32+2i31+i3−2−2i31+i3−1−i3−1−i300−1−i300001+i34ζ14+2ζ22−4ζ14−2ζ22−4ζ14−2ζ224ζ14+2ζ2200000000000000000000000000−2+2i3−2+2i32−2i32−2i32−2i31−i3−2+2i31−i3−1+i3−1+i300−1+i300001−i3−2ζ14−4ζ222ζ14+4ζ222ζ14+4ζ22−2ζ14−4ζ2200000000000000000000000000
χ13844-4-4-4-24-2220020000-2−232323−2300000000000000000000000000−2−2i3−2−2i32+2i32+2i32+2i31+i3−2−2i31+i3−1−i3−1−i300−1−i300001+i3−4ζ14−2ζ224ζ14+2ζ224ζ14+2ζ22−4ζ14−2ζ2200000000000000000000000000−2+2i3−2+2i32−2i32−2i32−2i31−i3−2+2i31−i3−1+i3−1+i300−1+i300001−i32ζ14+4ζ22−2ζ14−4ζ22−2ζ14−4ζ222ζ14+4ζ2200000000000000000000000000
χ1394-44i−4i040-44i−4i00000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000−2−2i32+2i34ζ22−4ζ220−2−2i302+2i34ζ22−4ζ220000000000000000000000000000−2ζ72ζ72ζ13−2ζ13000000−2+2i32−2i34ζ14−4ζ140−2+2i302−2i34ζ14−4ζ140000000000000000000000000000−2ζ232ζ232ζ5−2ζ5000000
χ1404-44i−4i040-44i−4i0000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000−2−2i32+2i34ζ22−4ζ220−2−2i302+2i34ζ22−4ζ2200000000000000000000000000002ζ7−2ζ7−2ζ132ζ13000000−2+2i32−2i34ζ14−4ζ140−2+2i302−2i34ζ14−4ζ1400000000000000000000000000002ζ23−2ζ23−2ζ52ζ5000000
χ1414-4−4i4i040-4−4i4i0000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000−2−2i32+2i3−4ζ224ζ220−2−2i302+2i3−4ζ224ζ2200000000000000000000000000002ζ13−2ζ13−2ζ72ζ7000000−2+2i32−2i3−4ζ144ζ140−2+2i302−2i3−4ζ144ζ1400000000000000000000000000002ζ5−2ζ5−2ζ232ζ23000000
χ1424-4−4i4i040-4−4i4i00000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000−2−2i32+2i3−4ζ224ζ220−2−2i302+2i3−4ζ224ζ220000000000000000000000000000−2ζ132ζ132ζ7−2ζ7000000−2+2i32−2i3−4ζ144ζ140−2+2i302−2i3−4ζ144ζ140000000000000000000000000000−2ζ52ζ52ζ23−2ζ23000000
χ1438-88i−8i0-404−4i4i00000000000000000000000000000000000000−4−4i34+4i38ζ22−8ζ2202+2i30−2−2i3−4ζ224ζ2200000000000000000000000000000000000000−4+4i34−4i38ζ14−8ζ1402−2i30−2+2i3−4ζ144ζ1400000000000000000000000000000000000000
χ1448-8−8i8i0-4044i−4i00000000000000000000000000000000000000−4−4i34+4i3−8ζ228ζ2202+2i30−2−2i34ζ22−4ζ2200000000000000000000000000000000000000−4+4i34−4i3−8ζ148ζ1402−2i30−2+2i34ζ14−4ζ1400000000000000000000000000000000000000

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