Finite Group Databasebeta

← Group #14651545

Character table — Group #14651545

Order 2816.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209
size1111222222222222222222222222222244444444444444444444444444444444444444444444444444444444444448888888888888888888888888888888888888888888888888816161616161616161616161616161616161616161616161616161616161616161616161616161616161616164444444444444444444444444444444488888888176176
order122222222244111111111122222222222222222222222222222222444444444222222222222222222222222222222222222222222222222222222222222444444444444444444444444444444444444444422222222222222222222444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444448888888888888888444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111-1-1-1-1111-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111111-1-1-1-1111-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111
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χ1111111-1-1-1-11-1-111111111111111111111111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1−ii−ii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiii−i−i−i−iiiii−i−i−i−i-1-111-11
χ1211111-1-1-1-11-1-111111111111111111111111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1−ii−ii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−iiiii−i−i−i−iiiii11-1-11-1
χ1311111-1-1-1-11-1-111111111111111111111-1-1-1-111-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111i−i−iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiii−i−i−i−i−i−i−i−iiiii11-1-1-11
χ1411111-1-1-1-11-1-111111111111111111111-1-1-1-111-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111i−i−iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−iiiiiiiii−i−i−i−i-1-1111-1
χ1511111-1-1-1-11-1-111111111111111111111-1-1-1-111-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111−iii−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-1111-1
χ1611111-1-1-1-11-1-111111111111111111111-1-1-1-111-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111−iii−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i11-1-1-11
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χ22222222222222−ζ12−ζ76−ζ4−ζ84−ζ20−ζ68−ζ36−ζ52−ζ28−ζ60−ζ12−ζ76−ζ12−ζ76−ζ4−ζ84−ζ4−ζ84−ζ20−ζ68−ζ20−ζ68−ζ36−ζ52−ζ36−ζ52−ζ28−ζ60−ζ28−ζ60−ζ12−ζ76−ζ4−ζ84−ζ20−ζ68−ζ36−ζ52−ζ28−ζ6022222222222−ζ12−ζ76−ζ12−ζ76−ζ4−ζ84−ζ4−ζ84−ζ20−ζ68−ζ20−ζ68−ζ36−ζ52−ζ36−ζ52−ζ28−ζ60−ζ28−ζ60−ζ12−ζ76−ζ12−ζ76−ζ4−ζ84−ζ4−ζ84−ζ20−ζ68−ζ20−ζ68−ζ36−ζ52−ζ36−ζ52−ζ28−ζ60−ζ28−ζ60−ζ12−ζ76−ζ12−ζ76−ζ4−ζ84−ζ4−ζ84−ζ20−ζ68−ζ20−ζ68−ζ36−ζ52−ζ36−ζ52−ζ28−ζ60−ζ28−ζ60−ζ12−ζ76−ζ12−ζ76−ζ12−ζ76−ζ12−ζ76−ζ4−ζ84−ζ4−ζ84−ζ4−ζ84−ζ4−ζ84−ζ20−ζ68−ζ20−ζ68−ζ20−ζ68−ζ20−ζ68−ζ36−ζ52−ζ36−ζ52−ζ36−ζ52−ζ36−ζ52−ζ28−ζ60−ζ28−ζ60−ζ28−ζ60−ζ28−ζ60−ζ12−ζ76−ζ12−ζ76−ζ4−ζ84−ζ4−ζ84−ζ20−ζ68−ζ20−ζ68−ζ36−ζ52−ζ36−ζ52−ζ28−ζ60−ζ28−ζ60−ζ12−ζ76−ζ12−ζ76−ζ4−ζ84−ζ4−ζ84−ζ20−ζ68−ζ20−ζ68−ζ36−ζ52−ζ36−ζ52−ζ28−ζ60−ζ28−ζ60−ζ12−ζ76−ζ12−ζ76−ζ4−ζ84−ζ4−ζ84−ζ20−ζ68−ζ20−ζ68−ζ36−ζ52−ζ36−ζ52−ζ28−ζ60−ζ28−ζ60−ζ12−ζ76−ζ12−ζ76−ζ4−ζ84−ζ4−ζ84−ζ20−ζ68−ζ20−ζ68−ζ36−ζ52−ζ36−ζ52−ζ28−ζ60−ζ28−ζ60−ζ12−ζ76−ζ12−ζ76−ζ4−ζ84−ζ4−ζ84−ζ20−ζ68−ζ20−ζ68−ζ36−ζ52−ζ36−ζ52−ζ28−ζ60−ζ28−ζ60-2-2-2-2ζ12+ζ76ζ12+ζ76ζ4+ζ84ζ4+ζ84ζ20+ζ68ζ20+ζ68ζ36+ζ52ζ36+ζ52ζ28+ζ60ζ28+ζ60ζ12+ζ76ζ12+ζ76ζ4+ζ84ζ4+ζ84ζ20+ζ68ζ20+ζ68ζ36+ζ52ζ36+ζ52ζ28+ζ60ζ28+ζ60ζ12+ζ76ζ12+ζ76ζ4+ζ84ζ4+ζ84ζ20+ζ68ζ20+ζ68ζ36+ζ52ζ36+ζ52ζ28+ζ60ζ28+ζ60ζ12+ζ76ζ12+ζ76ζ4+ζ84ζ4+ζ84ζ20+ζ68ζ20+ζ68ζ36+ζ52ζ36+ζ52ζ28+ζ60ζ28+ζ600000000000000000000000
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χ7022222-2-2-2-2222−ζ28−ζ60−ζ20−ζ68−ζ12−ζ76−ζ4−ζ84−ζ36−ζ52−ζ28−ζ60−ζ28−ζ60−ζ20−ζ68−ζ20−ζ68−ζ12−ζ76−ζ12−ζ76−ζ4−ζ84−ζ4−ζ84−ζ36−ζ52−ζ36−ζ52−ζ28−ζ60−ζ20−ζ68−ζ12−ζ76−ζ4−ζ84−ζ36−ζ5222-2-2-2-2222-2-2−ζ28−ζ60−ζ28−ζ60−ζ20−ζ68−ζ20−ζ68−ζ12−ζ76−ζ12−ζ76−ζ4−ζ84−ζ4−ζ84−ζ36−ζ52−ζ36−ζ52ζ28+ζ60ζ28+ζ60ζ20+ζ68ζ20+ζ68ζ12+ζ76ζ12+ζ76ζ4+ζ84ζ4+ζ84ζ36+ζ52ζ36+ζ52ζ28+ζ60ζ28+ζ60ζ20+ζ68ζ20+ζ68ζ12+ζ76ζ12+ζ76ζ4+ζ84ζ4+ζ84ζ36+ζ52ζ36+ζ52−ζ28−ζ60−ζ28−ζ60−ζ28−ζ60−ζ28−ζ60−ζ20−ζ68−ζ20−ζ68−ζ20−ζ68−ζ20−ζ68−ζ12−ζ76−ζ12−ζ76−ζ12−ζ76−ζ12−ζ76−ζ4−ζ84−ζ4−ζ84−ζ4−ζ84−ζ4−ζ84−ζ36−ζ52−ζ36−ζ52−ζ36−ζ52−ζ36−ζ52−ζ28−ζ60−ζ28−ζ60−ζ20−ζ68−ζ20−ζ68−ζ12−ζ76−ζ12−ζ76−ζ4−ζ84−ζ4−ζ84−ζ36−ζ52−ζ36−ζ52ζ28+ζ60ζ28+ζ60ζ20+ζ68ζ20+ζ68ζ12+ζ76ζ12+ζ76ζ4+ζ84ζ4+ζ84ζ36+ζ52ζ36+ζ52ζ28+ζ60ζ28+ζ60ζ20+ζ68ζ20+ζ68ζ12+ζ76ζ12+ζ76ζ4+ζ84ζ4+ζ84ζ36+ζ52ζ36+ζ52ζ28+ζ60ζ28+ζ60ζ20+ζ68ζ20+ζ68ζ12+ζ76ζ12+ζ76ζ4+ζ84ζ4+ζ84ζ36+ζ52ζ36+ζ52−ζ28−ζ60−ζ28−ζ60−ζ20−ζ68−ζ20−ζ68−ζ12−ζ76−ζ12−ζ76−ζ4−ζ84−ζ4−ζ84−ζ36−ζ52−ζ36−ζ520000−ζ6+ζ38ζ6−ζ38−ζ46+ζ86ζ46−ζ86ζ54−ζ78−ζ54+ζ78−ζ62+ζ70ζ62−ζ70−ζ14+ζ30ζ14−ζ30ζ6−ζ38−ζ6+ζ38ζ46−ζ86−ζ46+ζ86−ζ54+ζ78ζ54−ζ78ζ62−ζ70−ζ62+ζ70ζ14−ζ30−ζ14+ζ30−ζ6+ζ38ζ6−ζ38−ζ46+ζ86ζ46−ζ86ζ54−ζ78−ζ54+ζ78−ζ62+ζ70ζ62−ζ70−ζ14+ζ30ζ14−ζ30ζ6−ζ38−ζ6+ζ38ζ46−ζ86−ζ46+ζ86−ζ54+ζ78ζ54−ζ78ζ62−ζ70−ζ62+ζ70ζ14−ζ30−ζ14+ζ300000000000000000000000
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χ9022222-2-2-2-22-2-2−ζ28−ζ60−ζ20−ζ68−ζ12−ζ76−ζ4−ζ84−ζ36−ζ52−ζ28−ζ60−ζ28−ζ60−ζ20−ζ68−ζ20−ζ68−ζ12−ζ76−ζ12−ζ76−ζ4−ζ84−ζ4−ζ84−ζ36−ζ52−ζ36−ζ52−ζ28−ζ60−ζ20−ζ68−ζ12−ζ76−ζ4−ζ84−ζ36−ζ52222222-2-2-2-2-2−ζ28−ζ60−ζ28−ζ60−ζ20−ζ68−ζ20−ζ68−ζ12−ζ76−ζ12−ζ76−ζ4−ζ84−ζ4−ζ84−ζ36−ζ52−ζ36−ζ52ζ28+ζ60ζ28+ζ60ζ20+ζ68ζ20+ζ68ζ12+ζ76ζ12+ζ76ζ4+ζ84ζ4+ζ84ζ36+ζ52ζ36+ζ52ζ28+ζ60ζ28+ζ60ζ20+ζ68ζ20+ζ68ζ12+ζ76ζ12+ζ76ζ4+ζ84ζ4+ζ84ζ36+ζ52ζ36+ζ52ζ28+ζ60ζ28+ζ60ζ28+ζ60ζ28+ζ60ζ20+ζ68ζ20+ζ68ζ20+ζ68ζ20+ζ68ζ12+ζ76ζ12+ζ76ζ12+ζ76ζ12+ζ76ζ4+ζ84ζ4+ζ84ζ4+ζ84ζ4+ζ84ζ36+ζ52ζ36+ζ52ζ36+ζ52ζ36+ζ52−ζ28−ζ60−ζ28−ζ60−ζ20−ζ68−ζ20−ζ68−ζ12−ζ76−ζ12−ζ76−ζ4−ζ84−ζ4−ζ84−ζ36−ζ52−ζ36−ζ52−ζ28−ζ60−ζ28−ζ60−ζ20−ζ68−ζ20−ζ68−ζ12−ζ76−ζ12−ζ76−ζ4−ζ84−ζ4−ζ84−ζ36−ζ52−ζ36−ζ52ζ28+ζ60ζ28+ζ60ζ20+ζ68ζ20+ζ68ζ12+ζ76ζ12+ζ76ζ4+ζ84ζ4+ζ84ζ36+ζ52ζ36+ζ52−ζ28−ζ60−ζ28−ζ60−ζ20−ζ68−ζ20−ζ68−ζ12−ζ76−ζ12−ζ76−ζ4−ζ84−ζ4−ζ84−ζ36−ζ52−ζ36−ζ52ζ28+ζ60ζ28+ζ60ζ20+ζ68ζ20+ζ68ζ12+ζ76ζ12+ζ76ζ4+ζ84ζ4+ζ84ζ36+ζ52ζ36+ζ52−2i2i−2i2i−ζ6−ζ38−ζ6−ζ38−ζ46−ζ86−ζ46−ζ86−ζ54−ζ78−ζ54−ζ78−ζ62−ζ70−ζ62−ζ70−ζ14−ζ30−ζ14−ζ30ζ6+ζ38ζ6+ζ38ζ46+ζ86ζ46+ζ86ζ54+ζ78ζ54+ζ78ζ62+ζ70ζ62+ζ70ζ14+ζ30ζ14+ζ30−ζ6−ζ38−ζ6−ζ38−ζ46−ζ86−ζ46−ζ86−ζ54−ζ78−ζ54−ζ78−ζ62−ζ70−ζ62−ζ70−ζ14−ζ30−ζ14−ζ30ζ6+ζ38ζ6+ζ38ζ46+ζ86ζ46+ζ86ζ54+ζ78ζ54+ζ78ζ62+ζ70ζ62+ζ70ζ14+ζ30ζ14+ζ300000000000000000000000
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Here ζ is a primitive root of unity of order 88 (ζ88 = 1); i = ζ22.