Finite Group Databasebeta

← Group #72230633

Character table — Group #72230633

Order 4800.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size11112222224444444444444444444444444488888888888888888888888888888888888888888888888888888888888810101010101010102020202020202020252525254040404040404040404040404040404040404040404040405050505050507575757575757575100100150150150150150150150150150150150150
order124423461212556101012151515152020202030303030606060606060606055101010101010101015151515202020202020202020203030303030303030303030303030303060606060606060606060606060606060606060602222444466661212121222441010101020202020303030303030303060606060606060602466121244444444612444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-111-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1iiiiii−i−i−i−i−i−i
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-111-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1−i−i−i−i−i−iiiiiii
χ5111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-111-1-111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1iiii−i−i−i−i-1-1ii−i−i−i−iiiii−i−i
χ6111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-111-1-111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1−i−i−i−iiiii-1-1−i−iiiii−i−i−i−iii
χ7111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111
χ8111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111111111-1-1
χ91111-11-111111-111-11111111111111111111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11-11-11-11-11-11-111111-11-11-11-111-1-111-1-111-1-111-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-1
χ101111-11-111111-111-11111111111111111111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11-11-11-11-11-11-111111-11-11-11-111-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111
χ111111-11-111111-111-11111111111111111111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-111-1-111-1-111-1-11-1-1-1-11-1-111-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−i11−i−iii−i−i−i−iiiii
χ121111-11-111111-111-11111111111111111111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-111-1-111-1-111-1-11-1-1-1-11-1-111-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii11ii−i−iiiii−i−i−i−i
χ131111-11-111111-111-11111111111111111111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-111-1-111-1-1-11111-1-1-1-11111-1-111-1-1-1-1iiii−i−i−i−i11−i−i−i−iiiii−i−iii
χ141111-11-111111-111-11111111111111111111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-111-1-111-1-1-11111-1-1-1-11111-1-111-1-1-1-1−i−i−i−iiiii11iiii−i−i−i−iii−i−i
χ151111-11-111111-111-11111111111111111111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-11-11-11-11-11-111111-11-11-11-11-1-111-1-111-1-111-1-111-1-1111111111111-1-1-1-1-1-111-1-111-1-1
χ161111-11-111111-111-11111111111111111111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-11-11-11-11-11-111111-11-11-11-11-1-111-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111
χ1711-1-111-11-1-111111-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11-111-11-1-11-1111-1-11-11-1-11-1111-1-111-1-1-1-111-1-1111-111-1-111-1-111-1-11-11-11-11-11-11-11-1
χ1811-1-111-11-1-111111-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11-111-11-1-11-1111-1-11-11-1-11-1111-1-111-1-1-1-111-1-1111-111-1-1-1-111-1-1111-1-11-11-11-11-11-11
χ1911-1-111-11-1-111111-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-111-11-1-11-111-1-1-1111-1-11-111-111-1-1-1-111-1-11111-1-1-11-1-111ii−i−i−i−iii-11i−ii−ii−i−ii−ii−ii
χ2011-1-111-11-1-111111-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-111-11-1-11-111-1-1-1111-1-11-111-111-1-1-1-111-1-11111-1-1-11-1-111−i−iiiii−i−i-11−ii−ii−iii−ii−ii−i
χ2111-1-111-11-1-111111-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-11-111-11-1-11-1-111-111-11-1-11-1-11111-1-111-1-1-1-111-11-1-111ii−i−i−i−iii-11i−i−ii−iii−ii−i−ii
χ2211-1-111-11-1-111111-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-11-111-11-1-11-1-111-111-11-1-11-1-11111-1-111-1-1-1-111-11-1-111−i−iiiii−i−i-11−iii−ii−i−ii−iii−i
χ2311-1-111-11-1-111111-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-11-1-11-111-11-111-1-1-11-111-11-1-1-111-1-11111-1-111-1-11-111-1-111-1-111-1-11-11-1-11-11-11-111-1
χ2411-1-111-11-1-111111-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-11-1-11-111-11-111-1-1-11-111-11-1-1-111-1-11111-1-111-1-11-111-1-1-1-111-1-1111-1-111-11-11-11-1-11
χ2511-1-1-1111-1-111-11111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1111-1-111-1-111-1-1-11-111-1-111-1-11-11
χ2611-1-1-1111-1-111-11111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-111-111-1-111-1-111-11-1
χ2711-1-1-1111-1-111-11111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-111ii−i−i−i−iii1-1−iii−i−ii−iii−ii−i
χ2811-1-1-1111-1-111-11111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-111−i−iiiii−i−i1-1i−i−iii−ii−i−ii−ii
χ2911-1-1-1111-1-111-11111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-11-1-1-111ii−i−i−i−iii1-1−ii−iii−ii−i−iii−i
χ3011-1-1-1111-1-111-11111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-11-1-1-111−i−iiiii−i−i1-1i−ii−i−ii−iii−i−ii
χ3111-1-1-1111-1-111-11111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1111-1-111-1-111-1-1-11-11-111-1-111-1-11
χ3211-1-1-1111-1-111-11111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1111-1-1-1-111-1-111-111-11-1-111-1-111-1
χ3322222-12-1-1-122-122-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-100000000-1-1000000000000
χ3422222-12-1-1-122-122-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-222-2-2-1-111-1-111-2-2-2-222-2-222-2-2-1-1-1-11111-1-1-1-11111-2-211110000000011000000000000
χ3522222-12-1-1-122-122-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-22211-1-111-1-1-2-2-2-2-2-222-2-2221111-1-1-1-11111-1-1-1-1-2-211110000000011000000000000
χ3622222-12-1-1-122-122-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111112222-2-2-2-2-2-2-2-2111111111111111122-1-1-1-100000000-1-1000000000000
χ372222-2-1-2-1-1-1221221-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-222-1-1-1-1-2-22222-2-2-2-2111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111112-22-22-22-2-11-11-11-1122222-22-22-22-2-1-111-1-111-1-111-1-111-2-2-1-1-1-10000000011000000000000
χ382222-2-1-2-1-1-1221221-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-222-1-1-1-1-2-22222-2-2-2-2111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111112-2-222-2-22-111-1-111-1-2-2-2-22-2-222-2-22-1-11111-1-1-1-11111-1-122111100000000-1-1000000000000
χ392222-2-1-2-1-1-1221221-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-222-1-1-1-1-2-22222-2-2-2-2111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-222-2-222-21-1-111-1-11-2-2-2-2-222-2-222-211-1-1-1-11111-1-1-1-11122111100000000-1-1000000000000
χ402222-2-1-2-1-1-1221221-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-222-1-1-1-1-2-22222-2-2-2-2111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-22-22-22-221-11-11-11-12222-22-22-22-2211-1-111-1-111-1-111-1-1-2-2-1-1-1-10000000011000000000000
χ4122-2-22-1-2-11122-1221-1-1-1-1-2-2-2-2-1-1-1-1111111112222222222-1-1-1-1-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111112-22-2-22-22-11-111-11-122-2-22-22-2-22-22-1-111-1-11111-1-111-1-12-2-1-11100000000-11000000000000
χ4222-2-22-1-2-11122-1221-1-1-1-1-2-2-2-2-1-1-1-1111111112222222222-1-1-1-1-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111112-2-22-222-2-111-11-1-11-2-2222-2-22-222-2-1-11111-1-111-1-1-1-111-2211-1-1000000001-1000000000000
χ4322-2-22-1-2-11122-1221-1-1-1-1-2-2-2-2-1-1-1-1111111112222222222-1-1-1-1-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-222-22-2-221-1-11-111-1-2-222-222-22-2-2211-1-1-1-111-1-11111-1-1-2211-1-1000000001-1000000000000
χ4422-2-22-1-2-11122-1221-1-1-1-1-2-2-2-2-1-1-1-1111111112222222222-1-1-1-1-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-22-222-22-21-11-1-11-1122-2-2-22-222-22-211-1-111-1-1-1-111-1-1112-2-1-11100000000-11000000000000
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χ1678-8−8i8i0-4044i−4i-2-202201+i151−i151+i151−i152i2i−2i−2i−1−i15−1+i15−1−i15−1+i15−2ζ19−2ζ23−2ζ31−2ζ47−2ζ7−2ζ11−2ζ43−2ζ59−2ζ19−2ζ23−2ζ31−2ζ47−2ζ7−2ζ11−2ζ43−2ζ592ζ19+2ζ23+2ζ31+2ζ472ζ7+2ζ11+2ζ43+2ζ592ζ19+2ζ23+2ζ31+2ζ472ζ7+2ζ11+2ζ43+2ζ593-2005-500-32−3−i15211−3+i15200−3i2i3i−2i−5i5i000000−5+i1525−i152i15−i15−i15i15−5−i1525+i1523+i152-1-13−i1520000ζ7+ζ11+2ζ19+2ζ23+2ζ31+ζ43+2ζ47+ζ59−i−i2ζ7+2ζ11+ζ19+ζ23+ζ31+2ζ43+ζ47+2ζ59−ζ7−ζ11−2ζ19−2ζ23−2ζ31−ζ43−2ζ47−ζ59ii−2ζ7−2ζ11−ζ19−ζ23−ζ31−2ζ43−ζ47−2ζ593ζ7+3ζ11+2ζ19+2ζ23+2ζ31+3ζ43+2ζ47+3ζ59−3ζ7−3ζ11−2ζ19−2ζ23−2ζ31−3ζ43−2ζ47−3ζ5915−15−15152ζ7+2ζ11+3ζ19+3ζ23+3ζ31+2ζ43+3ζ47+2ζ59−2ζ7−2ζ11−3ζ19−3ζ23−3ζ31−2ζ43−3ζ47−2ζ59000000000000000000000000000000000000000000000000000000000000000000000000
χ1688-8−8i8i0-4044i−4i-2-202201+i151−i151+i151−i152i2i−2i−2i−1−i15−1+i15−1−i15−1+i15−2ζ19−2ζ23−2ζ31−2ζ47−2ζ7−2ζ11−2ζ43−2ζ59−2ζ19−2ζ23−2ζ31−2ζ47−2ζ7−2ζ11−2ζ43−2ζ592ζ19+2ζ23+2ζ31+2ζ472ζ7+2ζ11+2ζ43+2ζ592ζ19+2ζ23+2ζ31+2ζ472ζ7+2ζ11+2ζ43+2ζ593-200-5500-32−3−i15211−3+i15200−3i2i3i−2i5i−5i0000005−i152−5+i152−i15i15i15−i155+i152−5−i1523+i152-1-13−i1520000ζ7+ζ11+2ζ19+2ζ23+2ζ31+ζ43+2ζ47+ζ59−i−i2ζ7+2ζ11+ζ19+ζ23+ζ31+2ζ43+ζ47+2ζ59−ζ7−ζ11−2ζ19−2ζ23−2ζ31−ζ43−2ζ47−ζ59ii−2ζ7−2ζ11−ζ19−ζ23−ζ31−2ζ43−ζ47−2ζ59−3ζ7−3ζ11−2ζ19−2ζ23−2ζ31−3ζ43−2ζ47−3ζ593ζ7+3ζ11+2ζ19+2ζ23+2ζ31+3ζ43+2ζ47+3ζ59−151515−15−2ζ7−2ζ11−3ζ19−3ζ23−3ζ31−2ζ43−3ζ47−2ζ592ζ7+2ζ11+3ζ19+3ζ23+3ζ31+2ζ43+3ζ47+2ζ59000000000000000000000000000000000000000000000000000000000000000000000000

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