Finite Group Databasebeta

← Group #13087026

Character table — Group #13087026

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size11112222222222222222222222222222222222181818182222444444444444444444444444444444444436363636222244444444444444444444444444444444443636363655551010101010101010101010101010101010101010101010101010101010101010101090909090
order1222223333666666666666666666666666666644445101010101015151515303030303030303030303030303030303030303030303030303030302020202051010101010151515153030303030303030303030303030303030303030303030303030303020202020222222666666666666666666666666666666664444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111111111-1-1-1-1
χ31111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1
χ41111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ511-1-11-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1i−ii−i11-1-11-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1i−ii−i11-1-11-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1i−ii−i11-1-11-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1i−ii−i
χ611-1-11-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−ii−ii11-1-11-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−ii−ii11-1-11-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−ii−ii11-1-11-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−ii−ii
χ711-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111i−i−ii11-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111i−i−ii11-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111i−i−ii11-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111i−i−ii
χ811-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−iii−i11-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−iii−i11-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−iii−i11-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−iii−i
χ92222222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100002222222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100002222222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100002222222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000
χ10222222-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000222222-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000222222-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000222222-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000
χ11222222-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-10000222222-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-10000222222-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-10000222222-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-10000
χ12222222-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1220000222222-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1220000222222-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1220000222222-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1220000
χ132222-2-22-1-1-12-1-1-122-1-1-1-1-1-1-2-2111111-2-211111100002222-2-22-1-1-12-1-1-122-1-1-1-1-1-1-2-2111111-2-211111100002222-2-22-1-1-12-1-1-122-1-1-1-1-1-1-2-2111111-2-211111100002222-2-22-1-1-12-1-1-122-1-1-1-1-1-1-2-2111111-2-21111110000
χ142222-2-2-12-1-1-12-1-1-1-122-1-1-1-111-2-2111111-2-2111100002222-2-2-12-1-1-12-1-1-1-122-1-1-1-111-2-2111111-2-2111100002222-2-2-12-1-1-12-1-1-1-122-1-1-1-111-2-2111111-2-2111100002222-2-2-12-1-1-12-1-1-1-122-1-1-1-111-2-2111111-2-211110000
χ152222-2-2-1-12-1-1-12-1-1-1-1-122-1-11111-2-2111111-2-21100002222-2-2-1-12-1-1-12-1-1-1-1-122-1-11111-2-2111111-2-21100002222-2-2-1-12-1-1-12-1-1-1-1-122-1-11111-2-2111111-2-21100002222-2-2-1-12-1-1-12-1-1-1-1-122-1-11111-2-2111111-2-2110000
χ162222-2-2-1-1-12-1-1-12-1-1-1-1-1-122111111-2-2111111-2-200002222-2-2-1-1-12-1-1-12-1-1-1-1-1-122111111-2-2111111-2-200002222-2-2-1-1-12-1-1-12-1-1-1-1-1-122111111-2-2111111-2-200002222-2-2-1-1-12-1-1-12-1-1-1-1-1-122111111-2-2111111-2-20000
χ1722-2-22-22-1-1-12-1-1-1-2-211111122-1-1-1-1-1-1-2-2111111000022-2-22-22-1-1-12-1-1-1-2-211111122-1-1-1-1-1-1-2-2111111000022-2-22-22-1-1-12-1-1-1-2-211111122-1-1-1-1-1-1-2-2111111000022-2-22-22-1-1-12-1-1-1-2-211111122-1-1-1-1-1-1-2-21111110000
χ1822-2-22-2-12-1-1-12-1-111-2-21111-1-122-1-1-1-111-2-21111000022-2-22-2-12-1-1-12-1-111-2-21111-1-122-1-1-1-111-2-21111000022-2-22-2-12-1-1-12-1-111-2-21111-1-122-1-1-1-111-2-21111000022-2-22-2-12-1-1-12-1-111-2-21111-1-122-1-1-1-111-2-211110000
χ1922-2-22-2-1-12-1-1-12-11111-2-211-1-1-1-122-1-11111-2-211000022-2-22-2-1-12-1-1-12-11111-2-211-1-1-1-122-1-11111-2-211000022-2-22-2-1-12-1-1-12-11111-2-211-1-1-1-122-1-11111-2-211000022-2-22-2-1-12-1-1-12-11111-2-211-1-1-1-122-1-11111-2-2110000
χ2022-2-22-2-1-1-12-1-1-12111111-2-2-1-1-1-1-1-122111111-2-2000022-2-22-2-1-1-12-1-1-12111111-2-2-1-1-1-1-1-122111111-2-2000022-2-22-2-1-1-12-1-1-12111111-2-2-1-1-1-1-1-122111111-2-2000022-2-22-2-1-1-12-1-1-12111111-2-2-1-1-1-1-1-122111111-2-20000
χ2122-2-2-222-1-1-12-1-1-1-2-2111111-2-211111122-1-1-1-1-1-1000022-2-2-222-1-1-12-1-1-1-2-2111111-2-211111122-1-1-1-1-1-1000022-2-2-222-1-1-12-1-1-1-2-2111111-2-211111122-1-1-1-1-1-1000022-2-2-222-1-1-12-1-1-1-2-2111111-2-211111122-1-1-1-1-1-10000
χ2222-2-2-22-12-1-1-12-1-111-2-2111111-2-21111-1-122-1-1-1-1000022-2-2-22-12-1-1-12-1-111-2-2111111-2-21111-1-122-1-1-1-1000022-2-2-22-12-1-1-12-1-111-2-2111111-2-21111-1-122-1-1-1-1000022-2-2-22-12-1-1-12-1-111-2-2111111-2-21111-1-122-1-1-1-10000
χ2322-2-2-22-1-12-1-1-12-11111-2-2111111-2-211-1-1-1-122-1-1000022-2-2-22-1-12-1-1-12-11111-2-2111111-2-211-1-1-1-122-1-1000022-2-2-22-1-12-1-1-12-11111-2-2111111-2-211-1-1-1-122-1-1000022-2-2-22-1-12-1-1-12-11111-2-2111111-2-211-1-1-1-122-1-10000
χ2422-2-2-22-1-1-12-1-1-12111111-2-2111111-2-2-1-1-1-1-1-122000022-2-2-22-1-1-12-1-1-12111111-2-2111111-2-2-1-1-1-1-1-122000022-2-2-22-1-1-12-1-1-12111111-2-2111111-2-2-1-1-1-1-1-122000022-2-2-22-1-1-12-1-1-12111111-2-2111111-2-2-1-1-1-1-1-1220000
χ252-22-2002222-2-2-2-22-22-22-22-2000000000000000000002-22-2002222-2-2-2-22-22-22-22-2000000000000000000002-22-2002222-2-2-2-22-22-22-22-2000000000000000000002-22-2002222-2-2-2-22-22-22-22-200000000000000000000
χ262-22-2002-1-1-1-21112-2-11-11-1100−i3i3−i3i3−i3i300−i3i3−i3i3−i3i300002-22-2002-1-1-1-21112-2-11-11-1100−i3i3−i3i3−i3i300−i3i3−i3i3−i3i300002-22-2002-1-1-1-21112-2-11-11-1100−i3i3−i3i3−i3i300−i3i3−i3i3−i3i300002-22-2002-1-1-1-21112-2-11-11-1100−i3i3−i3i3−i3i300−i3i3−i3i3−i3i30000
χ272-22-2002-1-1-1-21112-2-11-11-1100i3−i3i3−i3i3−i300i3−i3i3−i3i3−i300002-22-2002-1-1-1-21112-2-11-11-1100i3−i3i3−i3i3−i300i3−i3i3−i3i3−i300002-22-2002-1-1-1-21112-2-11-11-1100i3−i3i3−i3i3−i300i3−i3i3−i3i3−i300002-22-2002-1-1-1-21112-2-11-11-1100i3−i3i3−i3i3−i300i3−i3i3−i3i3−i30000
χ282-22-200-12-1-11-211-112-2-11-11−i3i300−i3i3i3−i3−i3i300−i3i3i3−i300002-22-200-12-1-11-211-112-2-11-11−i3i300−i3i3i3−i3−i3i300−i3i3i3−i300002-22-200-12-1-11-211-112-2-11-11−i3i300−i3i3i3−i3−i3i300−i3i3i3−i300002-22-200-12-1-11-211-112-2-11-11−i3i300−i3i3i3−i3−i3i300−i3i3i3−i30000
χ292-22-200-12-1-11-211-112-2-11-11i3−i300i3−i3−i3i3i3−i300i3−i3−i3i300002-22-200-12-1-11-211-112-2-11-11i3−i300i3−i3−i3i3i3−i300i3−i3−i3i300002-22-200-12-1-11-211-112-2-11-11i3−i300i3−i3−i3i3i3−i300i3−i3−i3i300002-22-200-12-1-11-211-112-2-11-11i3−i300i3−i3−i3i3i3−i300i3−i3−i3i30000
χ302-22-200-1-12-111-21-11-112-2-11−i3i3i3−i300−i3i3−i3i3i3−i300−i3i300002-22-200-1-12-111-21-11-112-2-11−i3i3i3−i300−i3i3−i3i3i3−i300−i3i300002-22-200-1-12-111-21-11-112-2-11−i3i3i3−i300−i3i3−i3i3i3−i300−i3i300002-22-200-1-12-111-21-11-112-2-11−i3i3i3−i300−i3i3−i3i3i3−i300−i3i30000
χ312-22-200-1-12-111-21-11-112-2-11i3−i3−i3i300i3−i3i3−i3−i3i300i3−i300002-22-200-1-12-111-21-11-112-2-11i3−i3−i3i300i3−i3i3−i3−i3i300i3−i300002-22-200-1-12-111-21-11-112-2-11i3−i3−i3i300i3−i3i3−i3−i3i300i3−i300002-22-200-1-12-111-21-11-112-2-11i3−i3−i3i300i3−i3i3−i3−i3i300i3−i30000
χ322-22-200-1-1-12111-2-11-11-112-2−i3i3−i3i3i3−i300−i3i3−i3i3i3−i30000002-22-200-1-1-12111-2-11-11-112-2−i3i3−i3i3i3−i300−i3i3−i3i3i3−i30000002-22-200-1-1-12111-2-11-11-112-2−i3i3−i3i3i3−i300−i3i3−i3i3i3−i30000002-22-200-1-1-12111-2-11-11-112-2−i3i3−i3i3i3−i300−i3i3−i3i3i3−i3000000
χ332-22-200-1-1-12111-2-11-11-112-2i3−i3i3−i3−i3i300i3−i3i3−i3−i3i30000002-22-200-1-1-12111-2-11-11-112-2i3−i3i3−i3−i3i300i3−i3i3−i3−i3i30000002-22-200-1-1-12111-2-11-11-112-2i3−i3i3−i3−i3i300i3−i3i3−i3−i3i30000002-22-200-1-1-12111-2-11-11-112-2i3−i3i3−i3−i3i300i3−i3i3−i3−i3i3000000
χ342-2-22002222-2-2-2-2-22-22-22-22000000000000000000002-2-22002222-2-2-2-2-22-22-22-22000000000000000000002-2-22002222-2-2-2-2-22-22-22-22000000000000000000002-2-22002222-2-2-2-2-22-22-22-2200000000000000000000
χ352-2-22002-1-1-1-2111-221-11-11-100−i3i3−i3i3−i3i300i3−i3i3−i3i3−i300002-2-22002-1-1-1-2111-221-11-11-100−i3i3−i3i3−i3i300i3−i3i3−i3i3−i300002-2-22002-1-1-1-2111-221-11-11-100−i3i3−i3i3−i3i300i3−i3i3−i3i3−i300002-2-22002-1-1-1-2111-221-11-11-100−i3i3−i3i3−i3i300i3−i3i3−i3i3−i30000
χ362-2-22002-1-1-1-2111-221-11-11-100i3−i3i3−i3i3−i300−i3i3−i3i3−i3i300002-2-22002-1-1-1-2111-221-11-11-100i3−i3i3−i3i3−i300−i3i3−i3i3−i3i300002-2-22002-1-1-1-2111-221-11-11-100i3−i3i3−i3i3−i300−i3i3−i3i3−i3i300002-2-22002-1-1-1-2111-221-11-11-100i3−i3i3−i3i3−i300−i3i3−i3i3−i3i30000
χ372-2-2200-12-1-11-2111-1-221-11-1−i3i300−i3i3i3−i3i3−i300i3−i3−i3i300002-2-2200-12-1-11-2111-1-221-11-1−i3i300−i3i3i3−i3i3−i300i3−i3−i3i300002-2-2200-12-1-11-2111-1-221-11-1−i3i300−i3i3i3−i3i3−i300i3−i3−i3i300002-2-2200-12-1-11-2111-1-221-11-1−i3i300−i3i3i3−i3i3−i300i3−i3−i3i30000
χ382-2-2200-12-1-11-2111-1-221-11-1i3−i300i3−i3−i3i3−i3i300−i3i3i3−i300002-2-2200-12-1-11-2111-1-221-11-1i3−i300i3−i3−i3i3−i3i300−i3i3i3−i300002-2-2200-12-1-11-2111-1-221-11-1i3−i300i3−i3−i3i3−i3i300−i3i3i3−i300002-2-2200-12-1-11-2111-1-221-11-1i3−i300i3−i3−i3i3−i3i300−i3i3i3−i30000
χ392-2-2200-1-12-111-211-11-1-221-1−i3i3i3−i300−i3i3i3−i3−i3i300i3−i300002-2-2200-1-12-111-211-11-1-221-1−i3i3i3−i300−i3i3i3−i3−i3i300i3−i300002-2-2200-1-12-111-211-11-1-221-1−i3i3i3−i300−i3i3i3−i3−i3i300i3−i300002-2-2200-1-12-111-211-11-1-221-1−i3i3i3−i300−i3i3i3−i3−i3i300i3−i30000
χ402-2-2200-1-12-111-211-11-1-221-1i3−i3−i3i300i3−i3−i3i3i3−i300−i3i300002-2-2200-1-12-111-211-11-1-221-1i3−i3−i3i300i3−i3−i3i3i3−i300−i3i300002-2-2200-1-12-111-211-11-1-221-1i3−i3−i3i300i3−i3−i3i3i3−i300−i3i300002-2-2200-1-12-111-211-11-1-221-1i3−i3−i3i300i3−i3−i3i3i3−i300−i3i30000
χ412-2-2200-1-1-12111-21-11-11-1-22−i3i3−i3i3i3−i300i3−i3i3−i3−i3i30000002-2-2200-1-1-12111-21-11-11-1-22−i3i3−i3i3i3−i300i3−i3i3−i3−i3i30000002-2-2200-1-1-12111-21-11-11-1-22−i3i3−i3i3i3−i300i3−i3i3−i3−i3i30000002-2-2200-1-1-12111-21-11-11-1-22−i3i3−i3i3i3−i300i3−i3i3−i3−i3i3000000
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χ1674-4-4400-2-2-24222-42-22-22-2-44−2i32i3−2i32i32i3−2i3002i3−2i32i3−2i3−2i32i3000000−1−51+51+5−1−5001+521+521+52−1−5−1−52−1−52−1−521+5−1−521+52−1−521+52−1−521+521+5−1−5ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ4600−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46000000−1+51−51−5−1+5001−521−521−52−1+5−1+52−1+52−1+521−5−1+521−52−1+521−52−1+521−521−5−1+5ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ5800−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58000000000000000000000000000000000000000000000000
χ1684-4-4400-2-2-24222-42-22-22-2-442i3−2i32i3−2i3−2i32i300−2i32i3−2i32i32i3−2i3000000−1−51+51+5−1−5001+521+521+52−1−5−1−52−1−52−1−521+5−1−521+52−1−521+52−1−521+521+5−1−5−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ4600ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46000000−1+51−51−5−1+5001−521−521−52−1+5−1+52−1+52−1+521−5−1+521−52−1+521−52−1+521−521−5−1+5−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ5800ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.