Finite Group Databasebeta

← Group #14323794

Character table — Group #14323794

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size11111111222222222222222222222222444444444444444444444444444444444466668888888888888888888888888888888888881010101012121212121212121212121212121212121212121212202020202020202020202020202024242424242424243030303040404040606060606060
order122222223556666666101010101010101010101010101044444412121212151520202020202020203030303030303030303030303030444412121212202020202020202060606060606060606060606060606060606060606060606044442244442020202020202020202020202020202044444412121212121212121010101020202020444412121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-11111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-11111-1-1-1-1
χ911111111111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1
χ1011111111111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111
χ1111111111111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111
χ1211111111111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-1
χ1311111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111
χ1411111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1
χ1511111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ1611111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111
χ1711-11-1-1-111111-1-1-111-111-1-111-1-111-1-1-1-11-1i−ii−iii−i−i111111-1-1-1-11111-1-1-1-111-1-1-1-1ii−i−i1-1i−iii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-11-1i−i1-1iiii−i−i−i−iiiii−i−i−i−i1-1i−ii−i11-1-1ii−i−i11-1-111-1-1ii−i−i1-1i−ii−i1-11-1
χ1811-11-1-1-111111-1-1-111-111-1-111-1-111-1-1-1-11-1i−ii−iii−i−i111111-1-1-1-11111-1-1-1-111-1-1-1-1ii−i−i1-1i−iii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1111-1i−i1-1iiii−i−i−i−iiiii−i−i−i−i-11−ii−ii-1-111−i−iii11-1-111-1-1−i−iii-11−ii−ii-11-11
χ1911-11-1-1-111111-1-1-111-111-1-111-1-111-1-1-1-11-1i−ii−iii−i−i111111-1-1-1-11111-1-1-1-111-1-1-1-1−i−iii1-1i−iii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1-11−ii-11−i−i−i−iiiii−i−i−i−iiiii1-1i−ii−i11-1-1ii−i−i-1-111-1-111−i−iii1-1i−i−ii-11-11
χ2011-11-1-1-111111-1-1-111-111-1-111-1-111-1-1-1-11-1i−ii−iii−i−i111111-1-1-1-11111-1-1-1-111-1-1-1-1−i−iii1-1i−iii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-11−ii-11−i−i−i−iiiii−i−i−i−iiiii-11−ii−ii-1-111−i−iii-1-111-1-111ii−i−i-11−iii−i1-11-1
χ2111-11-1-1-111111-1-1-111-111-1-111-1-111-1-1-1-11-1−ii−ii−i−iii111111-1-1-1-11111-1-1-1-111-1-1-1-1ii−i−i1-1−ii−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1-11i−i-11iiii−i−i−i−iiiii−i−i−i−i1-1−ii−ii11-1-1−i−iii-1-111-1-111ii−i−i1-1−iii−i-11-11
χ2211-11-1-1-111111-1-1-111-111-1-111-1-111-1-1-1-11-1−ii−ii−i−iii111111-1-1-1-11111-1-1-1-111-1-1-1-1ii−i−i1-1−ii−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-11i−i-11iiii−i−i−i−iiiii−i−i−i−i-11i−ii−i-1-111ii−i−i-1-111-1-111−i−iii-11i−i−ii1-11-1
χ2311-11-1-1-111111-1-1-111-111-1-111-1-111-1-1-1-11-1−ii−ii−i−iii111111-1-1-1-11111-1-1-1-111-1-1-1-1−i−iii1-1−ii−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-11-1−ii1-1−i−i−i−iiiii−i−i−i−iiiii1-1−ii−ii11-1-1−i−iii11-1-111-1-1−i−iii1-1−ii−ii1-11-1
χ2411-11-1-1-111111-1-1-111-111-1-111-1-111-1-1-1-11-1−ii−ii−i−iii111111-1-1-1-11111-1-1-1-111-1-1-1-1−i−iii1-1−ii−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1111-1−ii1-1−i−i−i−iiiii−i−i−i−iiiii-11i−ii−i-1-111ii−i−i11-1-111-1-1ii−i−i-11i−ii−i-11-11
χ2511-11-1-1-111111-1-1-111-111-1-111-1-111-1-1-1-1-11i−i−ii−i−iii11-1-1-1-111111111-1-1-1-111-1-1-1-1ii−i−i-11i−i−i−iiiii−i−i-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-1-11−ii1-1−i−i−i−iiiiiiiii−i−i−i−i-11i−i−ii11-1-1−i−iii-1-11111-1-1ii−i−i-11i−i−ii1-1-11
χ2611-11-1-1-111111-1-1-111-111-1-111-1-111-1-1-1-1-11i−i−ii−i−iii11-1-1-1-111111111-1-1-1-111-1-1-1-1ii−i−i-11i−i−i−iiiii−i−i-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-111-11−ii1-1−i−i−i−iiiiiiiii−i−i−i−i1-1−iii−i-1-111ii−i−i-1-11111-1-1−i−iii1-1−iii−i-111-1
χ2711-11-1-1-111111-1-1-111-111-1-111-1-111-1-1-1-1-11i−i−ii−i−iii11-1-1-1-111111111-1-1-1-111-1-1-1-1−i−iii-11i−i−i−iiiii−i−i-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-11-1i−i-11iiii−i−i−i−i−i−i−i−iiiii-11i−i−ii11-1-1−i−iii11-1-1-1-111−i−iii-11i−ii−i-111-1
χ2811-11-1-1-111111-1-1-111-111-1-111-1-111-1-1-1-1-11i−i−ii−i−iii11-1-1-1-111111111-1-1-1-111-1-1-1-1−i−iii-11i−i−i−iiiii−i−i-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-1111-1i−i-11iiii−i−i−i−i−i−i−i−iiiii1-1−iii−i-1-111ii−i−i11-1-1-1-111ii−i−i1-1−ii−ii1-1-11
χ2911-11-1-1-111111-1-1-111-111-1-111-1-111-1-1-1-1-11−iii−iii−i−i11-1-1-1-111111111-1-1-1-111-1-1-1-1ii−i−i-11−iiii−i−i−i−iii-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-11-1−ii-11−i−i−i−iiiiiiiii−i−i−i−i-11−iii−i11-1-1ii−i−i11-1-1-1-111ii−i−i-11−ii−ii-111-1
χ3011-11-1-1-111111-1-1-111-111-1-111-1-111-1-1-1-1-11−iii−iii−i−i11-1-1-1-111111111-1-1-1-111-1-1-1-1ii−i−i-11−iiii−i−i−i−iii-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-1111-1−ii-11−i−i−i−iiiiiiiii−i−i−i−i1-1i−i−ii-1-111−i−iii11-1-1-1-111−i−iii1-1i−ii−i1-1-11
χ3111-11-1-1-111111-1-1-111-111-1-111-1-111-1-1-1-1-11−iii−iii−i−i11-1-1-1-111111111-1-1-1-111-1-1-1-1−i−iii-11−iiii−i−i−i−iii-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-11i−i1-1iiii−i−i−i−i−i−i−i−iiiii-11−iii−i11-1-1ii−i−i-1-11111-1-1−i−iii-11−iii−i1-1-11
χ3211-11-1-1-111111-1-1-111-111-1-111-1-111-1-1-1-1-11−iii−iii−i−i11-1-1-1-111111111-1-1-1-111-1-1-1-1−i−iii-11−iiii−i−i−i−iii-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-111-11i−i1-1iiii−i−i−i−i−i−i−i−iiiii1-1i−i−ii-1-111−i−iii-1-11111-1-1ii−i−i1-1i−i−ii-111-1
χ33222222222−1−52−1+522222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222222222−1−52−1+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+5222222222−1−52−1+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+520000222222−1−52−1−52−1+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+5200000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000000000
χ34222222222−1−52−1+522222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222222222−1−52−1+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+52-2-2-2-22222−1−52−1+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+520000-2-2-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52000000000000001+521−521+521−521+521−521+521−5200000000000000
χ35222222222−1−52−1+522222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222222-2-21+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+521−521−521+521+521−521−521+521+521−521−520000-2-222-2-2−1−52−1−52−1+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+52000000000000001+521−521+521−521+521−521+521−5200000000000000
χ36222222222−1−52−1+522222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-222-2-21+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+521−521−521+521+521−521−521+521+521−521−52000022-2-2221+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000000000
χ37222222222−1−52−1+522222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-222-2-2-2-2-2-2−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222-2-2221+521−521+521−52−1−52−1+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+521−521−520000-2-2-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000001+521−521+521−52−1−52−1+52−1−52−1+5200000000000000
χ38222222222−1−52−1+522222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-222-2-2-2-2-2-2−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2221+521−521+521−52−1−52−1+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+521−521−5200002222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200000000000000−1−52−1+52−1−52−1+521+521−521+521−5200000000000000
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χ1648-88-8-8-888-4−2+25−2−254-4-44-4442−252+25−2+25−2−252−252+252−252+25−2+25−2−25−2+25−2−252−252+2500000000001−51+5000000001−5−1+51+5−1−51−51−51+51+5−1+5−1−5−1+5−1+5−1−5−1−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1658-8-888-88-8-4−2−25−2+2544-444-4-42+252−252+252−25−2−25−2+252+252−252+252−25−2−25−2+25−2−25−2+2500000000001+51−500000000−1−5−1−5−1+5−1+5−1−51+5−1+51−51+51−51+5−1−51−5−1+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1668-8-888-88-8-4−2+25−2−2544-444-4-42−252+252−252+25−2+25−2−252−252+252−252+25−2+25−2−25−2+25−2−2500000000001−51+500000000−1+5−1+5−1−5−1−5−1+51−5−1−51+51−51+51−5−1+51+5−1−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1678-8-8-888-88-4−2−25−2+25444-4-44-42+252−252+252−252+252−25−2−25−2+25−2−25−2+252+252−25−2−25−2+2500000000001+51−5000000001+5−1−51−5−1+5−1−5−1−5−1+5−1+5−1−5−1+51+51+51−51−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1688-8-8-888-88-4−2+25−2−25444-4-44-42−252+252−252+252−252+25−2+25−2−25−2+25−2−252−252+25−2+25−2−2500000000001−51+5000000001−5−1+51+5−1−5−1+5−1+5−1−5−1−5−1+5−1−51−51−51+51+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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