Finite Group Databasebeta

← Group #72245791

Character table — Group #72245791

Order 3528.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size166666666494949494916666666649494949491666666664949494949166666666494949494916666666649494949491666666664949494949166666666494949494916666666649494949491666666664949494949166666666494949494916666666649494949491666666664949494949
order177777777233664282828282828282841212121221414141414141414266664282828282828282841212121232121212121212121633661284848484848484841212121212642424242424242426666612848484848484848412121212123212121212121212163366128484848484848484121212121264242424242424242666661284848484848484841212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111−1+i32−1−i32−1+i32−1−i321111111111−1+i32−1−i32−1+i32−1−i321111111111−1+i32−1−i32−1+i32−1−i321111111111−1+i32−1−i32−1+i32−1−i321111111111−1+i32−1−i32−1+i32−1−i321111111111−1+i32−1−i32−1+i32−1−i321111111111−1+i32−1−i32−1+i32−1−i321111111111−1+i32−1−i32−1+i32−1−i321111111111−1+i32−1−i32−1+i32−1−i321111111111−1+i32−1−i32−1+i32−1−i321111111111−1+i32−1−i32−1+i32−1−i321111111111−1+i32−1−i32−1+i32−1−i32
χ31111111111−1−i32−1+i32−1−i32−1+i321111111111−1−i32−1+i32−1−i32−1+i321111111111−1−i32−1+i32−1−i32−1+i321111111111−1−i32−1+i32−1−i32−1+i321111111111−1−i32−1+i32−1−i32−1+i321111111111−1−i32−1+i32−1−i32−1+i321111111111−1−i32−1+i32−1−i32−1+i321111111111−1−i32−1+i32−1−i32−1+i321111111111−1−i32−1+i32−1−i32−1+i321111111111−1−i32−1+i32−1−i32−1+i321111111111−1−i32−1+i32−1−i32−1+i321111111111−1−i32−1+i32−1−i32−1+i32
χ4111111111-111-1-1111111111-111-1-1111111111-111-1-1111111111-111-1-1111111111-111-1-1111111111-111-1-1111111111-111-1-1111111111-111-1-1111111111-111-1-1111111111-111-1-1111111111-111-1-1111111111-111-1-1
χ5111111111-1−1+i32−1−i321−i321+i32111111111-1−1+i32−1−i321−i321+i32111111111-1−1+i32−1−i321−i321+i32111111111-1−1+i32−1−i321−i321+i32111111111-1−1+i32−1−i321−i321+i32111111111-1−1+i32−1−i321−i321+i32111111111-1−1+i32−1−i321−i321+i32111111111-1−1+i32−1−i321−i321+i32111111111-1−1+i32−1−i321−i321+i32111111111-1−1+i32−1−i321−i321+i32111111111-1−1+i32−1−i321−i321+i32111111111-1−1+i32−1−i321−i321+i32
χ6111111111-1−1−i32−1+i321+i321−i32111111111-1−1−i32−1+i321+i321−i32111111111-1−1−i32−1+i321+i321−i32111111111-1−1−i32−1+i321+i321−i32111111111-1−1−i32−1+i321+i321−i32111111111-1−1−i32−1+i321+i321−i32111111111-1−1−i32−1+i321+i321−i32111111111-1−1−i32−1+i321+i321−i32111111111-1−1−i32−1+i321+i321−i32111111111-1−1−i32−1+i321+i321−i32111111111-1−1−i32−1+i321+i321−i32111111111-1−1−i32−1+i321+i321−i32
χ766-1-1-1-1-1-1-10000066-1-1-1-1-1-1-10000066-1-1-1-1-1-1-10000066-1-1-1-1-1-1-10000066-1-1-1-1-1-1-10000066-1-1-1-1-1-1-10000066-1-1-1-1-1-1-10000066-1-1-1-1-1-1-10000066-1-1-1-1-1-1-10000066-1-1-1-1-1-1-10000066-1-1-1-1-1-1-10000066-1-1-1-1-1-1-100000
χ86-16-1-1-1-1-1-1000006-16-1-1-1-1-1-1000006-16-1-1-1-1-1-1000006-16-1-1-1-1-1-1000006-16-1-1-1-1-1-1000006-16-1-1-1-1-1-1000006-16-1-1-1-1-1-1000006-16-1-1-1-1-1-1000006-16-1-1-1-1-1-1000006-16-1-1-1-1-1-1000006-16-1-1-1-1-1-1000006-16-1-1-1-1-1-100000
χ96-1-16-1-1-1-1-1000006-1-16-1-1-1-1-1000006-1-16-1-1-1-1-1000006-1-16-1-1-1-1-1000006-1-16-1-1-1-1-1000006-1-16-1-1-1-1-1000006-1-16-1-1-1-1-1000006-1-16-1-1-1-1-1000006-1-16-1-1-1-1-1000006-1-16-1-1-1-1-1000006-1-16-1-1-1-1-1000006-1-16-1-1-1-1-100000
χ106-1-1-16-1-1-1-1000006-1-1-16-1-1-1-1000006-1-1-16-1-1-1-1000006-1-1-16-1-1-1-1000006-1-1-16-1-1-1-1000006-1-1-16-1-1-1-1000006-1-1-16-1-1-1-1000006-1-1-16-1-1-1-1000006-1-1-16-1-1-1-1000006-1-1-16-1-1-1-1000006-1-1-16-1-1-1-1000006-1-1-16-1-1-1-100000
χ116-1-1-1-16-1-1-1000006-1-1-1-16-1-1-1000006-1-1-1-16-1-1-1000006-1-1-1-16-1-1-1000006-1-1-1-16-1-1-1000006-1-1-1-16-1-1-1000006-1-1-1-16-1-1-1000006-1-1-1-16-1-1-1000006-1-1-1-16-1-1-1000006-1-1-1-16-1-1-1000006-1-1-1-16-1-1-1000006-1-1-1-16-1-1-100000
χ126-1-1-1-1-16-1-1000006-1-1-1-1-16-1-1000006-1-1-1-1-16-1-1000006-1-1-1-1-16-1-1000006-1-1-1-1-16-1-1000006-1-1-1-1-16-1-1000006-1-1-1-1-16-1-1000006-1-1-1-1-16-1-1000006-1-1-1-1-16-1-1000006-1-1-1-1-16-1-1000006-1-1-1-1-16-1-1000006-1-1-1-1-16-1-100000
χ136-1-1-1-1-1-16-1000006-1-1-1-1-1-16-1000006-1-1-1-1-1-16-1000006-1-1-1-1-1-16-1000006-1-1-1-1-1-16-1000006-1-1-1-1-1-16-1000006-1-1-1-1-1-16-1000006-1-1-1-1-1-16-1000006-1-1-1-1-1-16-1000006-1-1-1-1-1-16-1000006-1-1-1-1-1-16-1000006-1-1-1-1-1-16-100000
χ146-1-1-1-1-1-1-16000006-1-1-1-1-1-1-16000006-1-1-1-1-1-1-16000006-1-1-1-1-1-1-16000006-1-1-1-1-1-1-16000006-1-1-1-1-1-1-16000006-1-1-1-1-1-1-16000006-1-1-1-1-1-1-16000006-1-1-1-1-1-1-16000006-1-1-1-1-1-1-16000006-1-1-1-1-1-1-16000006-1-1-1-1-1-1-1600000
χ1511111111111111iiiiiiiiiiiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i11111111111111iiiiiiiiiiiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i11111111111111iiiiiiiiiiiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ161111111111−1+i32−1−i32−1+i32−1−i32iiiiiiiiiiζ7ζ11ζ7ζ11-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i32−i−i−i−i−i−i−i−i−i−i−ζ7−ζ11−ζ7−ζ111111111111−1+i32−1−i32−1+i32−1−i32iiiiiiiiiiζ7ζ11ζ7ζ11-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i32−i−i−i−i−i−i−i−i−i−i−ζ7−ζ11−ζ7−ζ111111111111−1+i32−1−i32−1+i32−1−i32iiiiiiiiiiζ7ζ11ζ7ζ11-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i32−i−i−i−i−i−i−i−i−i−i−ζ7−ζ11−ζ7−ζ11
χ171111111111−1−i32−1+i32−1−i32−1+i32iiiiiiiiiiζ11ζ7ζ11ζ7-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i32−i−i−i−i−i−i−i−i−i−i−ζ11−ζ7−ζ11−ζ71111111111−1−i32−1+i32−1−i32−1+i32iiiiiiiiiiζ11ζ7ζ11ζ7-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i32−i−i−i−i−i−i−i−i−i−i−ζ11−ζ7−ζ11−ζ71111111111−1−i32−1+i32−1−i32−1+i32iiiiiiiiiiζ11ζ7ζ11ζ7-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i32−i−i−i−i−i−i−i−i−i−i−ζ11−ζ7−ζ11−ζ7
χ18111111111-111-1-1iiiiiiiii−iii−i−i-1-1-1-1-1-1-1-1-11-1-111−i−i−i−i−i−i−i−i−ii−i−iii111111111-111-1-1iiiiiiiii−iii−i−i-1-1-1-1-1-1-1-1-11-1-111−i−i−i−i−i−i−i−i−ii−i−iii111111111-111-1-1iiiiiiiii−iii−i−i-1-1-1-1-1-1-1-1-11-1-111−i−i−i−i−i−i−i−i−ii−i−iii
χ19111111111-1−1+i32−1−i321−i321+i32iiiiiiiii−iζ7ζ11−ζ7−ζ11-1-1-1-1-1-1-1-1-111−i321+i32−1+i32−1−i32−i−i−i−i−i−i−i−i−ii−ζ7−ζ11ζ7ζ11111111111-1−1+i32−1−i321−i321+i32iiiiiiiii−iζ7ζ11−ζ7−ζ11-1-1-1-1-1-1-1-1-111−i321+i32−1+i32−1−i32−i−i−i−i−i−i−i−i−ii−ζ7−ζ11ζ7ζ11111111111-1−1+i32−1−i321−i321+i32iiiiiiiii−iζ7ζ11−ζ7−ζ11-1-1-1-1-1-1-1-1-111−i321+i32−1+i32−1−i32−i−i−i−i−i−i−i−i−ii−ζ7−ζ11ζ7ζ11
χ20111111111-1−1−i32−1+i321+i321−i32iiiiiiiii−iζ11ζ7−ζ11−ζ7-1-1-1-1-1-1-1-1-111+i321−i32−1−i32−1+i32−i−i−i−i−i−i−i−i−ii−ζ11−ζ7ζ11ζ7111111111-1−1−i32−1+i321+i321−i32iiiiiiiii−iζ11ζ7−ζ11−ζ7-1-1-1-1-1-1-1-1-111+i321−i32−1−i32−1+i32−i−i−i−i−i−i−i−i−ii−ζ11−ζ7ζ11ζ7111111111-1−1−i32−1+i321+i321−i32iiiiiiiii−iζ11ζ7−ζ11−ζ7-1-1-1-1-1-1-1-1-111+i321−i32−1−i32−1+i32−i−i−i−i−i−i−i−i−ii−ζ11−ζ7ζ11ζ7
χ2166-1-1-1-1-1-1-1000006i6i−i−i−i−i−i−i−i00000-6-6111111100000−6i−6iiiiiiii0000066-1-1-1-1-1-1-1000006i6i−i−i−i−i−i−i−i00000-6-6111111100000−6i−6iiiiiiii0000066-1-1-1-1-1-1-1000006i6i−i−i−i−i−i−i−i00000-6-6111111100000−6i−6iiiiiiii00000
χ226-16-1-1-1-1-1-1000006i−i6i−i−i−i−i−i−i00000-61-611111100000−6ii−6iiiiiii000006-16-1-1-1-1-1-1000006i−i6i−i−i−i−i−i−i00000-61-611111100000−6ii−6iiiiiii000006-16-1-1-1-1-1-1000006i−i6i−i−i−i−i−i−i00000-61-611111100000−6ii−6iiiiiii00000
χ236-1-16-1-1-1-1-1000006i−i−i6i−i−i−i−i−i00000-611-61111100000−6iii−6iiiiii000006-1-16-1-1-1-1-1000006i−i−i6i−i−i−i−i−i00000-611-61111100000−6iii−6iiiiii000006-1-16-1-1-1-1-1000006i−i−i6i−i−i−i−i−i00000-611-61111100000−6iii−6iiiiii00000
χ246-1-1-16-1-1-1-1000006i−i−i−i6i−i−i−i−i00000-6111-6111100000−6iiii−6iiiii000006-1-1-16-1-1-1-1000006i−i−i−i6i−i−i−i−i00000-6111-6111100000−6iiii−6iiiii000006-1-1-16-1-1-1-1000006i−i−i−i6i−i−i−i−i00000-6111-6111100000−6iiii−6iiiii00000
χ256-1-1-1-16-1-1-1000006i−i−i−i−i6i−i−i−i00000-61111-611100000−6iiiii−6iiii000006-1-1-1-16-1-1-1000006i−i−i−i−i6i−i−i−i00000-61111-611100000−6iiiii−6iiii000006-1-1-1-16-1-1-1000006i−i−i−i−i6i−i−i−i00000-61111-611100000−6iiiii−6iiii00000
χ266-1-1-1-1-16-1-1000006i−i−i−i−i−i6i−i−i00000-611111-61100000−6iiiiii−6iii000006-1-1-1-1-16-1-1000006i−i−i−i−i−i6i−i−i00000-611111-61100000−6iiiiii−6iii000006-1-1-1-1-16-1-1000006i−i−i−i−i−i6i−i−i00000-611111-61100000−6iiiiii−6iii00000
χ276-1-1-1-1-1-16-1000006i−i−i−i−i−i−i6i−i00000-6111111-6100000−6iiiiiii−6ii000006-1-1-1-1-1-16-1000006i−i−i−i−i−i−i6i−i00000-6111111-6100000−6iiiiiii−6ii000006-1-1-1-1-1-16-1000006i−i−i−i−i−i−i6i−i00000-6111111-6100000−6iiiiiii−6ii00000
χ286-1-1-1-1-1-1-16000006i−i−i−i−i−i−i−i6i00000-61111111-600000−6iiiiiiii−6i000006-1-1-1-1-1-1-16000006i−i−i−i−i−i−i−i6i00000-61111111-600000−6iiiiiiii−6i000006-1-1-1-1-1-1-16000006i−i−i−i−i−i−i−i6i00000-61111111-600000−6iiiiiiii−6i00000
χ2911111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ301111111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i321111111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i321111111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i321111111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i321111111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i321111111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i32
χ311111111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i321111111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i321111111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i321111111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i321111111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i321111111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i32
χ32111111111-111-1-1-1-1-1-1-1-1-1-1-11-1-111111111111-111-1-1-1-1-1-1-1-1-1-1-11-1-111111111111-111-1-1-1-1-1-1-1-1-1-1-11-1-111111111111-111-1-1-1-1-1-1-1-1-1-1-11-1-111111111111-111-1-1-1-1-1-1-1-1-1-1-11-1-111111111111-111-1-1-1-1-1-1-1-1-1-1-11-1-111
χ33111111111-1−1+i32−1−i321−i321+i32-1-1-1-1-1-1-1-1-111−i321+i32−1+i32−1−i32111111111-1−1+i32−1−i321−i321+i32-1-1-1-1-1-1-1-1-111−i321+i32−1+i32−1−i32111111111-1−1+i32−1−i321−i321+i32-1-1-1-1-1-1-1-1-111−i321+i32−1+i32−1−i32111111111-1−1+i32−1−i321−i321+i32-1-1-1-1-1-1-1-1-111−i321+i32−1+i32−1−i32111111111-1−1+i32−1−i321−i321+i32-1-1-1-1-1-1-1-1-111−i321+i32−1+i32−1−i32111111111-1−1+i32−1−i321−i321+i32-1-1-1-1-1-1-1-1-111−i321+i32−1+i32−1−i32
χ34111111111-1−1−i32−1+i321+i321−i32-1-1-1-1-1-1-1-1-111+i321−i32−1−i32−1+i32111111111-1−1−i32−1+i321+i321−i32-1-1-1-1-1-1-1-1-111+i321−i32−1−i32−1+i32111111111-1−1−i32−1+i321+i321−i32-1-1-1-1-1-1-1-1-111+i321−i32−1−i32−1+i32111111111-1−1−i32−1+i321+i321−i32-1-1-1-1-1-1-1-1-111+i321−i32−1−i32−1+i32111111111-1−1−i32−1+i321+i321−i32-1-1-1-1-1-1-1-1-111+i321−i32−1−i32−1+i32111111111-1−1−i32−1+i321+i321−i32-1-1-1-1-1-1-1-1-111+i321−i32−1−i32−1+i32
χ3566-1-1-1-1-1-1-100000-6-611111110000066-1-1-1-1-1-1-100000-6-611111110000066-1-1-1-1-1-1-100000-6-611111110000066-1-1-1-1-1-1-100000-6-611111110000066-1-1-1-1-1-1-100000-6-611111110000066-1-1-1-1-1-1-100000-6-6111111100000
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χ376-1-16-1-1-1-1-100000-611-611111000006-1-16-1-1-1-1-100000-611-611111000006-1-16-1-1-1-1-100000-611-611111000006-1-16-1-1-1-1-100000-611-611111000006-1-16-1-1-1-1-100000-611-611111000006-1-16-1-1-1-1-100000-611-61111100000
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χ1421111111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i321111111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i321−1+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32-11−i32-11−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i321−1+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32-11−i32-11−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i3211−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i32-11+i32-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i3211−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i32-11+i32-1
χ1431111111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i321111111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-1-1-1-11+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+i321−1+i3211+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i32-11−i32-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i3211+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i32-11−i32-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i321−1−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32-11+i32-11+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i321−1−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32-11+i32-11+i32
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χ146111111111-1−1−i32−1+i321+i321−i32-1-1-1-1-1-1-1-1-111+i321−i32−1−i32−1+i32111111111-1−1−i32−1+i321+i321−i32-1-1-1-1-1-1-1-1-111+i321−i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1+i3211−i32-11+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i321−i32-1−1+i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1+i3211−i32-11+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i321−i32-1−1+i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−1−i32-11+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32-11+i321−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−1−i32-11+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32-11+i321−1−i32
χ14766-1-1-1-1-1-1-100000-6-611111110000066-1-1-1-1-1-1-100000-6-6111111100000−3−3i3−3−3i31+i321+i321+i321+i321+i321+i321+i32000003+3i33+3i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200000−3−3i3−3−3i31+i321+i321+i321+i321+i321+i321+i32000003+3i33+3i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200000−3+3i3−3+3i31−i321−i321−i321−i321−i321−i321−i32000003−3i33−3i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200000−3+3i3−3+3i31−i321−i321−i321−i321−i321−i321−i32000003−3i33−3i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200000
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χ15511111111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ111+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32ζ11ζ11ζ11ζ11ζ11ζ11ζ11ζ11ζ11ζ11ζ11ζ11ζ11ζ11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ71−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7
χ1561111111111−1+i32−1−i32−1+i32−1−i32−i−i−i−i−i−i−i−i−i−i−ζ7−ζ11−ζ7−ζ11-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i32iiiiiiiiiiζ7ζ11ζ7ζ11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i321−1+i32−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−i−ζ7−i−ζ71+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32-11−i32-11−i32ζ11ζ11ζ11ζ11ζ11ζ11ζ11ζ11ζ11ζ11iζ7iζ7−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i321−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ11−i−ζ11−i1−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i32-11+i32-1ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ11iζ11i
χ1571111111111−1−i32−1+i32−1−i32−1+i32−i−i−i−i−i−i−i−i−i−i−ζ11−ζ7−ζ11−ζ7-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i32iiiiiiiiiiζ11ζ7ζ11ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i321−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ7−i−ζ7−i1+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i32-11−i32-1ζ11ζ11ζ11ζ11ζ11ζ11ζ11ζ11ζ11ζ11ζ7iζ7i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i321−1−i32−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−i−ζ11−i−ζ111−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32-11+i32-11+i32ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7iζ11iζ11
χ158111111111-111-1-1−i−i−i−i−i−i−i−i−ii−i−iii-1-1-1-1-1-1-1-1-11-1-111iiiiiiiii−iii−i−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11ζ11−ζ11−ζ11ζ11ζ111+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32ζ11ζ11ζ11ζ11ζ11ζ11ζ11ζ11ζ11−ζ11ζ11ζ11−ζ11−ζ11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7ζ7−ζ7−ζ7ζ7ζ71−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7−ζ7ζ7ζ7−ζ7−ζ7
χ159111111111-1−1+i32−1−i321−i321+i32−i−i−i−i−i−i−i−i−ii−ζ7−ζ11ζ7ζ11-1-1-1-1-1-1-1-1-111−i321+i32−1+i32−1−i32iiiiiiiii−iζ7ζ11−ζ7−ζ11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321−1+i32-11−i32−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11ζ11−i−ζ7iζ71+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32-11−i321−1+i32ζ11ζ11ζ11ζ11ζ11ζ11ζ11ζ11ζ11−ζ11iζ7−i−ζ7−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1−i3211+i32-1−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7ζ7−ζ11−iζ11i1−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i321+i32-1−1−i321ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7−ζ7ζ11i−ζ11−i
χ160111111111-1−1−i32−1+i321+i321−i32−i−i−i−i−i−i−i−i−ii−ζ11−ζ7ζ11ζ7-1-1-1-1-1-1-1-1-111+i321−i32−1−i32−1+i32iiiiiiiii−iζ11ζ7−ζ11−ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1+i3211−i32-1−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11ζ11−ζ7−iζ7i1+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i321−i32-1−1+i321ζ11ζ11ζ11ζ11ζ11ζ11ζ11ζ11ζ11−ζ11ζ7i−ζ7−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−1−i32-11+i32−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7ζ7−i−ζ11iζ111−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32-11+i321−1−i32ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7−ζ7iζ11−i−ζ11
χ16166-1-1-1-1-1-1-100000−6i−6iiiiiiii00000-6-61111111000006i6i−i−i−i−i−i−i−i00000−3−3i3−3−3i31+i321+i321+i321+i321+i321+i321+i3200000−6ζ11−6ζ11ζ11ζ11ζ11ζ11ζ11ζ11ζ11000003+3i33+3i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000006ζ116ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ1100000−3+3i3−3+3i31−i321−i321−i321−i321−i321−i321−i3200000−6ζ7−6ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7000003−3i33−3i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000006ζ76ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ700000
χ1626-16-1-1-1-1-1-100000−6ii−6iiiiiii00000-61-6111111000006i−i6i−i−i−i−i−i−i00000−3−3i31+i32−3−3i31+i321+i321+i321+i321+i321+i3200000−6ζ11ζ11−6ζ11ζ11ζ11ζ11ζ11ζ11ζ11000003+3i3−1−i323+3i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000006ζ11−ζ116ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ1100000−3+3i31−i32−3+3i31−i321−i321−i321−i321−i321−i3200000−6ζ7ζ7−6ζ7ζ7ζ7ζ7ζ7ζ7ζ7000003−3i3−1+i323−3i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000006ζ7−ζ76ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ700000
χ1636-1-16-1-1-1-1-100000−6iii−6iiiiii00000-611-611111000006i−i−i6i−i−i−i−i−i00000−3−3i31+i321+i32−3−3i31+i321+i321+i321+i321+i3200000−6ζ11ζ11ζ11−6ζ11ζ11ζ11ζ11ζ11ζ11000003+3i3−1−i32−1−i323+3i3−1−i32−1−i32−1−i32−1−i32−1−i32000006ζ11−ζ11−ζ116ζ11−ζ11−ζ11−ζ11−ζ11−ζ1100000−3+3i31−i321−i32−3+3i31−i321−i321−i321−i321−i3200000−6ζ7ζ7ζ7−6ζ7ζ7ζ7ζ7ζ7ζ7000003−3i3−1+i32−1+i323−3i3−1+i32−1+i32−1+i32−1+i32−1+i32000006ζ7−ζ7−ζ76ζ7−ζ7−ζ7−ζ7−ζ7−ζ700000
χ1646-1-1-16-1-1-1-100000−6iiii−6iiiii00000-6111-61111000006i−i−i−i6i−i−i−i−i00000−3−3i31+i321+i321+i32−3−3i31+i321+i321+i321+i3200000−6ζ11ζ11ζ11ζ11−6ζ11ζ11ζ11ζ11ζ11000003+3i3−1−i32−1−i32−1−i323+3i3−1−i32−1−i32−1−i32−1−i32000006ζ11−ζ11−ζ11−ζ116ζ11−ζ11−ζ11−ζ11−ζ1100000−3+3i31−i321−i321−i32−3+3i31−i321−i321−i321−i3200000−6ζ7ζ7ζ7ζ7−6ζ7ζ7ζ7ζ7ζ7000003−3i3−1+i32−1+i32−1+i323−3i3−1+i32−1+i32−1+i32−1+i32000006ζ7−ζ7−ζ7−ζ76ζ7−ζ7−ζ7−ζ7−ζ700000
χ1656-1-1-1-16-1-1-100000−6iiiii−6iiii00000-61111-6111000006i−i−i−i−i6i−i−i−i00000−3−3i31+i321+i321+i321+i32−3−3i31+i321+i321+i3200000−6ζ11ζ11ζ11ζ11ζ11−6ζ11ζ11ζ11ζ11000003+3i3−1−i32−1−i32−1−i32−1−i323+3i3−1−i32−1−i32−1−i32000006ζ11−ζ11−ζ11−ζ11−ζ116ζ11−ζ11−ζ11−ζ1100000−3+3i31−i321−i321−i321−i32−3+3i31−i321−i321−i3200000−6ζ7ζ7ζ7ζ7ζ7−6ζ7ζ7ζ7ζ7000003−3i3−1+i32−1+i32−1+i32−1+i323−3i3−1+i32−1+i32−1+i32000006ζ7−ζ7−ζ7−ζ7−ζ76ζ7−ζ7−ζ7−ζ700000
χ1666-1-1-1-1-16-1-100000−6iiiiii−6iii00000-611111-611000006i−i−i−i−i−i6i−i−i00000−3−3i31+i321+i321+i321+i321+i32−3−3i31+i321+i3200000−6ζ11ζ11ζ11ζ11ζ11ζ11−6ζ11ζ11ζ11000003+3i3−1−i32−1−i32−1−i32−1−i32−1−i323+3i3−1−i32−1−i32000006ζ11−ζ11−ζ11−ζ11−ζ11−ζ116ζ11−ζ11−ζ1100000−3+3i31−i321−i321−i321−i321−i32−3+3i31−i321−i3200000−6ζ7ζ7ζ7ζ7ζ7ζ7−6ζ7ζ7ζ7000003−3i3−1+i32−1+i32−1+i32−1+i32−1+i323−3i3−1+i32−1+i32000006ζ7−ζ7−ζ7−ζ7−ζ7−ζ76ζ7−ζ7−ζ700000
χ1676-1-1-1-1-1-16-100000−6iiiiiii−6ii00000-6111111-61000006i−i−i−i−i−i−i6i−i00000−3−3i31+i321+i321+i321+i321+i321+i32−3−3i31+i3200000−6ζ11ζ11ζ11ζ11ζ11ζ11ζ11−6ζ11ζ11000003+3i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i323+3i3−1−i32000006ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ116ζ11−ζ1100000−3+3i31−i321−i321−i321−i321−i321−i32−3+3i31−i3200000−6ζ7ζ7ζ7ζ7ζ7ζ7ζ7−6ζ7ζ7000003−3i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i323−3i3−1+i32000006ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ76ζ7−ζ700000
χ1686-1-1-1-1-1-1-1600000−6iiiiiiii−6i00000-61111111-6000006i−i−i−i−i−i−i−i6i00000−3−3i31+i321+i321+i321+i321+i321+i321+i32−3−3i300000−6ζ11ζ11ζ11ζ11ζ11ζ11ζ11ζ11−6ζ11000003+3i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i323+3i3000006ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ116ζ1100000−3+3i31−i321−i321−i321−i321−i321−i321−i32−3+3i300000−6ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7−6ζ7000003−3i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i323−3i3000006ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ76ζ700000

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