Finite Group Databasebeta

← Group #11921272

Character table — Group #11921272

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size111144444444661111444444446611114444444466111144444444662222888888881212222288888888121222228888888812122222888888881212333312121212121212121818333312121212121212121818333312121212121212121818333312121212121212121818
order12443366121212122422446666121212122444441212121212121212444444121212121212121244361212336612121212612661212666612121212612121212121212121212121212121212121212121212121212121212128888242424242424242488888824242424242424248888882424242424242424888888242424242424242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211
χ31111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211
χ411-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-11
χ511-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11
χ611-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11
χ72-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i00
χ82-22i−2i1+i321−i32−1−i32−1+i32ζ22−ζ22ζ14−ζ14002-22i−2i1+i321−i32−1−i32−1+i32ζ22−ζ22ζ14−ζ14002-22i−2i1+i321−i32−1−i32−1+i32ζ22−ζ22ζ14−ζ14002-22i−2i1+i321−i32−1−i32−1+i32ζ22−ζ22ζ14−ζ14002-22i−2i1+i321−i32−1−i32−1+i32ζ22−ζ22ζ14−ζ14002-22i−2i1+i321−i32−1−i32−1+i32ζ22−ζ22ζ14−ζ14002-22i−2i1+i321−i32−1−i32−1+i32ζ22−ζ22ζ14−ζ14002-22i−2i1+i321−i32−1−i32−1+i32ζ22−ζ22ζ14−ζ14002-22i−2i1+i321−i32−1−i32−1+i32ζ22−ζ22ζ14−ζ14002-22i−2i1+i321−i32−1−i32−1+i32ζ22−ζ22ζ14−ζ14002-22i−2i1+i321−i32−1−i32−1+i32ζ22−ζ22ζ14−ζ14002-22i−2i1+i321−i32−1−i32−1+i32ζ22−ζ22ζ14−ζ1400
χ92-22i−2i1−i321+i32−1+i32−1−i32ζ14−ζ14ζ22−ζ22002-22i−2i1−i321+i32−1+i32−1−i32ζ14−ζ14ζ22−ζ22002-22i−2i1−i321+i32−1+i32−1−i32ζ14−ζ14ζ22−ζ22002-22i−2i1−i321+i32−1+i32−1−i32ζ14−ζ14ζ22−ζ22002-22i−2i1−i321+i32−1+i32−1−i32ζ14−ζ14ζ22−ζ22002-22i−2i1−i321+i32−1+i32−1−i32ζ14−ζ14ζ22−ζ22002-22i−2i1−i321+i32−1+i32−1−i32ζ14−ζ14ζ22−ζ22002-22i−2i1−i321+i32−1+i32−1−i32ζ14−ζ14ζ22−ζ22002-22i−2i1−i321+i32−1+i32−1−i32ζ14−ζ14ζ22−ζ22002-22i−2i1−i321+i32−1+i32−1−i32ζ14−ζ14ζ22−ζ22002-22i−2i1−i321+i32−1+i32−1−i32ζ14−ζ14ζ22−ζ22002-22i−2i1−i321+i32−1+i32−1−i32ζ14−ζ14ζ22−ζ2200
χ102-2−2i2i-1-111−ii−ii002-2−2i2i-1-111−ii−ii002-2−2i2i-1-111−ii−ii002-2−2i2i-1-111−ii−ii002-2−2i2i-1-111−ii−ii002-2−2i2i-1-111−ii−ii002-2−2i2i-1-111−ii−ii002-2−2i2i-1-111−ii−ii002-2−2i2i-1-111−ii−ii002-2−2i2i-1-111−ii−ii002-2−2i2i-1-111−ii−ii002-2−2i2i-1-111−ii−ii00
χ112-2−2i2i1+i321−i32−1−i32−1+i32−ζ22ζ22−ζ14ζ14002-2−2i2i1+i321−i32−1−i32−1+i32−ζ22ζ22−ζ14ζ14002-2−2i2i1+i321−i32−1−i32−1+i32−ζ22ζ22−ζ14ζ14002-2−2i2i1+i321−i32−1−i32−1+i32−ζ22ζ22−ζ14ζ14002-2−2i2i1+i321−i32−1−i32−1+i32−ζ22ζ22−ζ14ζ14002-2−2i2i1+i321−i32−1−i32−1+i32−ζ22ζ22−ζ14ζ14002-2−2i2i1+i321−i32−1−i32−1+i32−ζ22ζ22−ζ14ζ14002-2−2i2i1+i321−i32−1−i32−1+i32−ζ22ζ22−ζ14ζ14002-2−2i2i1+i321−i32−1−i32−1+i32−ζ22ζ22−ζ14ζ14002-2−2i2i1+i321−i32−1−i32−1+i32−ζ22ζ22−ζ14ζ14002-2−2i2i1+i321−i32−1−i32−1+i32−ζ22ζ22−ζ14ζ14002-2−2i2i1+i321−i32−1−i32−1+i32−ζ22ζ22−ζ14ζ1400
χ122-2−2i2i1−i321+i32−1+i32−1−i32−ζ14ζ14−ζ22ζ22002-2−2i2i1−i321+i32−1+i32−1−i32−ζ14ζ14−ζ22ζ22002-2−2i2i1−i321+i32−1+i32−1−i32−ζ14ζ14−ζ22ζ22002-2−2i2i1−i321+i32−1+i32−1−i32−ζ14ζ14−ζ22ζ22002-2−2i2i1−i321+i32−1+i32−1−i32−ζ14ζ14−ζ22ζ22002-2−2i2i1−i321+i32−1+i32−1−i32−ζ14ζ14−ζ22ζ22002-2−2i2i1−i321+i32−1+i32−1−i32−ζ14ζ14−ζ22ζ22002-2−2i2i1−i321+i32−1+i32−1−i32−ζ14ζ14−ζ22ζ22002-2−2i2i1−i321+i32−1+i32−1−i32−ζ14ζ14−ζ22ζ22002-2−2i2i1−i321+i32−1+i32−1−i32−ζ14ζ14−ζ22ζ22002-2−2i2i1−i321+i32−1+i32−1−i32−ζ14ζ14−ζ22ζ22002-2−2i2i1−i321+i32−1+i32−1−i32−ζ14ζ14−ζ22ζ2200
χ13333300000000-1-1333300000000-1-1333300000000-1-1333300000000-1-1333300000000-1-1333300000000-1-1333300000000-1-1333300000000-1-1333300000000-1-1333300000000-1-1333300000000-1-1333300000000-1-1
χ1433-3-3000000001-133-3-3000000001-133-3-3000000001-133-3-3000000001-133-3-3000000001-133-3-3000000001-133-3-3000000001-133-3-3000000001-133-3-3000000001-133-3-3000000001-133-3-3000000001-133-3-3000000001-1
χ151111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ161111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-1-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-1-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-1-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-1
χ171111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1-1-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1-1-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1-1-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1-1
χ1811-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-11-1-111-1-1-1-111111-1-1-111-1-1-1-111111-1-1-111-1-1-1-111111-1-1-111-1-1-1-111111-1
χ1911-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11-1-1111+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i321-1-1-1111+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i321-1-1-1111+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i321-1-1-1111+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i321-1
χ2011-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11-1-1111−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i321-1-1-1111−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i321-1-1-1111−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i321-1-1-1111−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i321-1
χ212-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i00-22−2i2i11-1-1−ii−ii00-22−2i2i11-1-1−ii−ii00-22−2i2i11-1-1−ii−ii00-22−2i2i11-1-1−ii−ii00
χ222-22i−2i1+i321−i32−1−i32−1+i32ζ22−ζ22ζ14−ζ14002-22i−2i1+i321−i32−1−i32−1+i32ζ22−ζ22ζ14−ζ14002-22i−2i1+i321−i32−1−i32−1+i32ζ22−ζ22ζ14−ζ14002-22i−2i1+i321−i32−1−i32−1+i32ζ22−ζ22ζ14−ζ14002-22i−2i1+i321−i32−1−i32−1+i32ζ22−ζ22ζ14−ζ14002-22i−2i1+i321−i32−1−i32−1+i32ζ22−ζ22ζ14−ζ14002-22i−2i1+i321−i32−1−i32−1+i32ζ22−ζ22ζ14−ζ14002-22i−2i1+i321−i32−1−i32−1+i32ζ22−ζ22ζ14−ζ1400-22−2i2i−1−i32−1+i321+i321−i32−ζ22ζ22−ζ14ζ1400-22−2i2i−1−i32−1+i321+i321−i32−ζ22ζ22−ζ14ζ1400-22−2i2i−1−i32−1+i321+i321−i32−ζ22ζ22−ζ14ζ1400-22−2i2i−1−i32−1+i321+i321−i32−ζ22ζ22−ζ14ζ1400
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χ27333300000000-1-1333300000000-1-1333300000000-1-1333300000000-1-1333300000000-1-1333300000000-1-1333300000000-1-1333300000000-1-1-3-3-3-30000000011-3-3-3-30000000011-3-3-3-30000000011-3-3-3-30000000011
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χ291111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ301111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-1-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-1-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-1iiiiζ22ζ14ζ22ζ14ζ22ζ22ζ14ζ14iiiiiiζ22ζ14ζ22ζ14ζ22ζ22ζ14ζ14ii−i−i−i−i−ζ22−ζ14−ζ22−ζ14−ζ22−ζ22−ζ14−ζ14−i−i−i−i−i−i−ζ22−ζ14−ζ22−ζ14−ζ22−ζ22−ζ14−ζ14−i−i
χ311111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1-1-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1-1-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1-1iiiiζ14ζ22ζ14ζ22ζ14ζ14ζ22ζ22iiiiiiζ14ζ22ζ14ζ22ζ14ζ14ζ22ζ22ii−i−i−i−i−ζ14−ζ22−ζ14−ζ22−ζ14−ζ14−ζ22−ζ22−i−i−i−i−i−i−ζ14−ζ22−ζ14−ζ22−ζ14−ζ14−ζ22−ζ22−i−i
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χ431111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiiiiiiiiiii
χ441111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-1-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-1-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-1−i−i−i−i−ζ22−ζ14−ζ22−ζ14−ζ22−ζ22−ζ14−ζ14−i−i−i−i−i−i−ζ22−ζ14−ζ22−ζ14−ζ22−ζ22−ζ14−ζ14−i−iiiiiζ22ζ14ζ22ζ14ζ22ζ22ζ14ζ14iiiiiiζ22ζ14ζ22ζ14ζ22ζ22ζ14ζ14ii
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χ581111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-1iiiiζ22ζ14ζ22ζ14ζ22ζ22ζ14ζ14ii−i−i−i−i−ζ22−ζ14−ζ22−ζ14−ζ22−ζ22−ζ14−ζ14−i−i1111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-1iiiiζ22ζ14ζ22ζ14ζ22ζ22ζ14ζ14ii−i−i−i−i−ζ22−ζ14−ζ22−ζ14−ζ22−ζ22−ζ14−ζ14−i−iζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ7−ζ23−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23ζ7ζ23ζ7ζ23ζ7ζ7ζ23ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−ζ13−ζ5−ζ13−ζ5−ζ13−ζ13−ζ5−ζ5ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13ζ13ζ5ζ13ζ5ζ13ζ13ζ5ζ5−ζ5−ζ13−ζ5−ζ13
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χ721111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-1iiiiζ22ζ14ζ22ζ14ζ22ζ22ζ14ζ14ii−i−i−i−i−ζ22−ζ14−ζ22−ζ14−ζ22−ζ22−ζ14−ζ14−i−i1111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-1iiiiζ22ζ14ζ22ζ14ζ22ζ22ζ14ζ14ii−i−i−i−i−ζ22−ζ14−ζ22−ζ14−ζ22−ζ22−ζ14−ζ14−i−i−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23ζ7ζ23ζ7ζ23ζ7ζ7ζ23ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ7−ζ23−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13ζ13ζ5ζ13ζ5ζ13ζ13ζ5ζ5−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−ζ13−ζ5−ζ13−ζ5−ζ13−ζ13−ζ5−ζ5ζ5+ζ13ζ5+ζ13
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χ11322222222222222222222222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000000000000000000000000000
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χ1152222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i322-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1-1-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1-1-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1-1-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1-100000000000000000000000000000000000000000000000000000000
χ11622-2-22222-2-2-2-2-2222-2-22222-2-2-2-2-2222-2-22222-2-2-2-2-2222-2-22222-2-2-2-2-22-1-111-1-1-1-111111-1-1-111-1-1-1-111111-1-1-111-1-1-1-111111-1-1-111-1-1-1-111111-100000000000000000000000000000000000000000000000000000000
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χ15522222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i2i2i2i2i2i2i-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111iiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i00000000000000000000000000000000000000000000000000000000
χ1562222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i322-2-2-2-21+i31−i31+i31−i31+i31+i31−i31−i3-2-2−2i−2i−2i−2i−2ζ22−2ζ14−2ζ22−2ζ14−2ζ22−2ζ22−2ζ14−2ζ14−2i−2i2i2i2i2i2ζ222ζ142ζ222ζ142ζ222ζ222ζ142ζ142i2i-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211iiiiζ22ζ14ζ22ζ14ζ22ζ22ζ14ζ14ii−i−i−i−i−ζ22−ζ14−ζ22−ζ14−ζ22−ζ22−ζ14−ζ14−i−i00000000000000000000000000000000000000000000000000000000
χ1572222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i322-2-2-2-21−i31+i31−i31+i31−i31−i31+i31+i3-2-2−2i−2i−2i−2i−2ζ14−2ζ22−2ζ14−2ζ22−2ζ14−2ζ14−2ζ22−2ζ22−2i−2i2i2i2i2i2ζ142ζ222ζ142ζ222ζ142ζ142ζ222ζ222i2i-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211iiiiζ14ζ22ζ14ζ22ζ14ζ14ζ22ζ22ii−i−i−i−i−ζ14−ζ22−ζ14−ζ22−ζ14−ζ14−ζ22−ζ22−i−i00000000000000000000000000000000000000000000000000000000
χ15822-2-22222-2-2-2-2-22-2-222-2-2-2-222222-2−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i−2i2i-1-111-1-1-1-111111-111-1-11111-1-1-1-1-11ii−i−iiiii−i−i−i−i−ii−i−iii−i−i−i−iiiiii−i00000000000000000000000000000000000000000000000000000000
χ15922-2-2−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i3-22-2-2221+i31−i31+i31−i3−1−i3−1−i3−1+i3−1+i32-2−2i−2i2i2i−2ζ22−2ζ14−2ζ22−2ζ142ζ222ζ222ζ142ζ142i−2i2i2i−2i−2i2ζ222ζ142ζ222ζ14−2ζ22−2ζ22−2ζ14−2ζ14−2i2i-1-1111+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i321-111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11ii−i−iζ22ζ14ζ22ζ14−ζ22−ζ22−ζ14−ζ14−ii−i−iii−ζ22−ζ14−ζ22−ζ14ζ22ζ22ζ14ζ14i−i00000000000000000000000000000000000000000000000000000000
χ16022-2-2−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i3-22-2-2221−i31+i31−i31+i3−1+i3−1+i3−1−i3−1−i32-2−2i−2i2i2i−2ζ14−2ζ22−2ζ14−2ζ222ζ142ζ142ζ222ζ222i−2i2i2i−2i−2i2ζ142ζ222ζ142ζ22−2ζ14−2ζ14−2ζ22−2ζ22−2i2i-1-1111−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i321-111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11ii−i−iζ14ζ22ζ14ζ22−ζ14−ζ14−ζ22−ζ22−ii−i−iii−ζ14−ζ22−ζ14−ζ22ζ14ζ14ζ22ζ22i−i00000000000000000000000000000000000000000000000000000000
χ1614-44i−4i-2-2222i−2i2i−2i00-44−4i4i22-2-2−2i2i−2i2i00−4i4i4-42i2i−2i−2i2-22-2004i−4i-44−2i−2i2i2i-22-2200-22−2i2i11-1-1−ii−ii002-22i−2i-1-111i−ii−i002i−2i-22−i−iii-11-1100−2i2i2-2ii−i−i1-11-10000000000000000000000000000000000000000000000000000000000
χ1624-44i−4i1+i31−i3−1−i3−1+i32ζ22−2ζ222ζ14−2ζ1400-44−4i4i−1−i3−1+i31+i31−i3−2ζ222ζ22−2ζ142ζ1400−4i4i4-42ζ222ζ14−2ζ22−2ζ14−1−i31+i3−1+i31−i3004i−4i-44−2ζ22−2ζ142ζ222ζ141+i3−1−i31−i3−1+i300-22−2i2i−1−i32−1+i321+i321−i32−ζ22ζ22−ζ14ζ14002-22i−2i1+i321−i32−1−i32−1+i32ζ22−ζ22ζ14−ζ14002i−2i-22−ζ22−ζ14ζ22ζ141+i32−1−i321−i32−1+i3200−2i2i2-2ζ22ζ14−ζ22−ζ14−1−i321+i32−1+i321−i320000000000000000000000000000000000000000000000000000000000
χ1634-44i−4i1−i31+i3−1+i3−1−i32ζ14−2ζ142ζ22−2ζ2200-44−4i4i−1+i3−1−i31−i31+i3−2ζ142ζ14−2ζ222ζ2200−4i4i4-42ζ142ζ22−2ζ14−2ζ22−1+i31−i3−1−i31+i3004i−4i-44−2ζ14−2ζ222ζ142ζ221−i3−1+i31+i3−1−i300-22−2i2i−1+i32−1−i321−i321+i32−ζ14ζ14−ζ22ζ22002-22i−2i1−i321+i32−1+i32−1−i32ζ14−ζ14ζ22−ζ22002i−2i-22−ζ14−ζ22ζ14ζ221−i32−1+i321+i32−1−i3200−2i2i2-2ζ14ζ22−ζ14−ζ22−1+i321−i32−1−i321+i320000000000000000000000000000000000000000000000000000000000
χ1644-4−4i4i-2-222−2i2i−2i2i00-444i−4i22-2-22i−2i2i−2i00−4i4i-442i2i−2i−2i-22-22004i−4i4-4−2i−2i2i2i2-22-200-222i−2i11-1-1i−ii−i002-2−2i2i-1-111−ii−ii002i−2i2-2−i−iii1-11-100−2i2i-22ii−i−i-11-110000000000000000000000000000000000000000000000000000000000
χ1654-4−4i4i1+i31−i3−1−i3−1+i3−2ζ222ζ22−2ζ142ζ1400-444i−4i−1−i3−1+i31+i31−i32ζ22−2ζ222ζ14−2ζ1400−4i4i-442ζ222ζ14−2ζ22−2ζ141+i3−1−i31−i3−1+i3004i−4i4-4−2ζ22−2ζ142ζ222ζ14−1−i31+i3−1+i31−i300-222i−2i−1−i32−1+i321+i321−i32ζ22−ζ22ζ14−ζ14002-2−2i2i1+i321−i32−1−i32−1+i32−ζ22ζ22−ζ14ζ14002i−2i2-2−ζ22−ζ14ζ22ζ14−1−i321+i32−1+i321−i3200−2i2i-22ζ22ζ14−ζ22−ζ141+i32−1−i321−i32−1+i320000000000000000000000000000000000000000000000000000000000
χ1664-4−4i4i1−i31+i3−1+i3−1−i3−2ζ142ζ14−2ζ222ζ2200-444i−4i−1+i3−1−i31−i31+i32ζ14−2ζ142ζ22−2ζ2200−4i4i-442ζ142ζ22−2ζ14−2ζ221−i3−1+i31+i3−1−i3004i−4i4-4−2ζ14−2ζ222ζ142ζ22−1+i31−i3−1−i31+i300-222i−2i−1+i32−1−i321−i321+i32ζ14−ζ14ζ22−ζ22002-2−2i2i1−i321+i32−1+i32−1−i32−ζ14ζ14−ζ22ζ22002i−2i2-2−ζ14−ζ22ζ14ζ22−1+i321−i32−1−i321+i3200−2i2i-22ζ14ζ22−ζ14−ζ221−i32−1+i321+i32−1−i320000000000000000000000000000000000000000000000000000000000
χ167666600000000-2-2-6-6-6-60000000022−6i−6i−6i−6i000000002i2i6i6i6i6i00000000−2i−2i-3-3-3-30000000011333300000000-1-13i3i3i3i00000000−i−i−3i−3i−3i−3i00000000ii00000000000000000000000000000000000000000000000000000000
χ16866-6-6000000002-2-6-66600000000-22−6i−6i6i6i00000000−2i2i6i6i−6i−6i000000002i−2i-3-33300000000-1133-3-3000000001-13i3i−3i−3i00000000i−i−3i−3i3i3i00000000−ii00000000000000000000000000000000000000000000000000000000

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