Finite Group Databasebeta

← Group #14295618

Character table — Group #14295618

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size112224445588888101010122020202020202024243030303060112224445588888101010122020202020202024243030303060112224445588888101010122020202020202024243030303060112224445588888101010122020202020202024243030303060
order123465101244152030606021212468824242424202044442441241220201244602060606041212412882424242420204444422646101012443020306060212124688242424242020444424412412202012446020606060412124128824242424202044444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
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χ3111111111111111111-11111111-1-1-1-1-1-1-1111111111111111111-11111111-1-1-1-1-1-1-1111111111111111111-11111111-1-1-1-1-1-1-1111111111111111111-11111111-1-1-1-1-1-1-1
χ4111111111111111111-11-1-1-1-1-1-1-1-11111-1111111111111111111-11-1-1-1-1-1-1-1-11111-1111111111111111111-11-1-1-1-1-1-1-1-11111-1111111111111111111-11-1-1-1-1-1-1-1-11111-1
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χ611111111-1-111111-1-1-11-1−ii−i−iii11−i−iii-111111111-1-111111-1-1-11-1−ii−i−iii11−i−iii-111111111-1-111111-1-1-11-1−ii−i−iii11−i−iii-111111111-1-111111-1-1-11-1−ii−i−iii11−i−iii-1
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χ12888-48-4-2-2-4001-2111000000000000000000−8i−8i4i−8i4i2i2i4i00−i2i−i−i−i000000000000000000-8-84-8422400-12-1-1-10000000000000000008i8i−4i8i−4i−2i−2i−4i00i−2iiii000000000000000000
χ12988-4-8-4-2-2400121-1-1000000000000000000−8i−8i4i8i4i2i2i−4i00−i−2i−iii000000000000000000-8-848422-400-1-2-1110000000000000000008i8i−4i−8i−4i−2i−2i4i00i2ii−i−i000000000000000000
χ1308-880-8-22000-20200000000000000000000−8i8i−8i08i2i−2i0002i0−2i00000000000000000000-88-8082-200020-2000000000000000000008i−8i8i0−8i−2i2i000−2i02i00000000000000000000
χ1318-8-404-2200010-1−1515000000000000000000−8i8i4i0−4i2i−2i000−i0ii15−i15000000000000000000-8840-42-2000-10115−150000000000000000008i−8i−4i04i−2i2i000i0−i−i15i15000000000000000000
χ1328-8-404-2200010-115−15000000000000000000−8i8i4i0−4i2i−2i000−i0i−i15i15000000000000000000-8840-42-2000-101−15150000000000000000008i−8i−4i04i−2i2i000i0−ii15−i15000000000000000000

Here i is the imaginary unit (i² = −1).