Finite Group Databasebeta

← Group #12110613

Character table — Group #12110613

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164
size111111112222222222222222222222222222222222224444444444444444444444444444444444444444444444444444444444444444444488888888888888888888888888888888888840404040404040404040404040404040
order1222222244445510101010101010101010101010102020202020202020202020202020202022444444444488888888202020202020202020202020202020204040404040404040404040404040404040404040404040404040404040404040888810101010202020202020202020202020404040404040404040404040404040404444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111
χ51111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111
χ81111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1
χ911111111111111111111111111111111111111111111-1-111-1-111-1-1-1-111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1
χ1011111111111111111111111111111111111111111111-1-111-1-111-1-1-1-111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ1111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-111-1-1-1-111
χ1211111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-111-1-11111-1-1
χ1311111111111111111111111111111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-111
χ1411111111111111111111111111111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1111111-1-1
χ1511111111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1
χ1611111111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111
χ1711-11-1-1-1111-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-1i−ii−ii−ii−i1-1ii−i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-1i−i1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11-1i−ii−ii−ii−i1-11-11-1
χ1811-11-1-1-1111-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-1i−ii−ii−ii−i1-1ii−i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-1i−i1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-11−ii−ii−ii−ii-11-11-11
χ1911-11-1-1-1111-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-1i−ii−ii−ii−i1-1−i−iii-1-111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-111111111−ii-1111-1-111-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111-1−iii−ii−i−ii1-1-11-11
χ2011-11-1-1-1111-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-1i−ii−ii−ii−i1-1−i−iii-1-111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-111111111−ii-1111-1-111-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111-11i−i−ii−iii−i-111-11-1
χ2111-11-1-1-1111-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-1−ii−ii−ii−ii1-1ii−i−i-1-111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-111111111i−i-1111-1-111-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111-1i−i−ii−iii−i1-1-11-11
χ2211-11-1-1-1111-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-1−ii−ii−ii−ii1-1ii−i−i-1-111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-111111111i−i-1111-1-111-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111-11−iii−ii−i−ii-111-11-1
χ2311-11-1-1-1111-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-1−ii−ii−ii−ii1-1−i−iii11-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-1−ii1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11-1−ii−ii−ii−ii1-11-11-1
χ2411-11-1-1-1111-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-1−ii−ii−ii−ii1-1−i−iii11-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-1−ii1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-11i−ii−ii−ii−i-11-11-11
χ2511-11-1-1-1111-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-11i−i−iii−i−ii-11ii−i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-1−ii-11-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii-1-1-1-111111-1i−ii−i−ii−ii-111-1-11
χ2611-11-1-1-1111-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-11i−i−iii−i−ii-11ii−i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-1−ii-11-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-11−ii−iii−ii−i1-1-111-1
χ2711-11-1-1-1111-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-11i−i−iii−i−ii-11−i−iii-1-111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-111111111i−i1-1-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-11-1−iii−i−iii−i-11-111-1
χ2811-11-1-1-1111-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-11i−i−iii−i−ii-11−i−iii-1-111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-111111111i−i1-1-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-11i−i−iii−i−ii1-11-1-11
χ2911-11-1-1-1111-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-11−iii−i−iii−i-11ii−i−i-1-111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-111111111−ii1-1-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-11-1i−i−iii−i−ii-11-111-1
χ3011-11-1-1-1111-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-11−iii−i−iii−i-11ii−i−i-1-111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-111111111−ii1-1-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-11−iii−i−iii−i1-11-1-11
χ3111-11-1-1-1111-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-11−iii−i−iii−i-11−i−iii11-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-1i−i-11-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i-1-1-1-111111-1−ii−iii−ii−i-111-1-11
χ3211-11-1-1-1111-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-11−iii−i−iii−i-11−i−iii11-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-1i−i-11-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-11i−ii−i−ii−ii1-1-111-1
χ33222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222222222222222222222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ34222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52222222222222-2-2-2-2-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000000000000000
χ35222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222-2-2-2-2-2-2-2-2222222-2-2-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000000000000000
χ36222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222-2-2-2-2-2-2-2-222-2-2-2-222221−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ37222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-222-2-222-2-2-2-222222222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-21−521+521−521+521−521+521−521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000000000000000
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χ1614-4-4-44-444-444-4−1+5−1−51−51−51+51+5−1+5−1+5−1−5−1−5−1+5−1−51−51−51+51+51−5−1+5−1+51−51+5−1−5−1−51+5−1+51−51−5−1+5−1−51+51+5−1−500000000000000000000−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ14000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1624-4-4-44-444-444-4−1+5−1−51−51−51+51+5−1+5−1+5−1−5−1−5−1+5−1−51−51−51+51+51−5−1+5−1+51−51+5−1−5−1−51+5−1+51−51−5−1+5−1−51+51+5−1−5000000000000000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ14000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1634-4-4-44-444-444-4−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+5−1−5−1+51+51+51−51−51+5−1−5−1−51+51−5−1+5−1+51−5−1−51+51+5−1−5−1+51−51−5−1+5000000000000000000002ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ38000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1644-4-4-44-444-444-4−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+5−1−5−1+51+51+51−51−51+5−1−5−1−51+51−5−1+5−1+51−5−1−51+51+5−1−5−1+51−51−5−1+500000000000000000000−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ38000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.