Finite Group Databasebeta

← Group #14411820

Character table — Group #14411820

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150
size111122222222222222224444444444444444444444444444444444444445555888888888888888888888888888888888888101010101010101010101010101010102020202020202020202020202020203030303030303030606060606060606060606060
order1222223444444666666644451010101010101012121212121212121212121215153030303030303030303030303030444420202020202020202020202060606060606060606060606060606060606060606060606022222244121212121212121222266666666666688888888888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiiiii−i−i−i−i−i−i
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−iiiiiii
χ5111111111-1-1-1-111111111-1-1111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1
χ6111111111-1-1-1-111111111-1-1111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ7111111111-1-1-1-111111111-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111iiii−i−i−i−iii−i−i−i−i−i−iiiii
χ8111111111-1-1-1-111111111-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111−i−i−i−iiiii−i−iiiiiii−i−i−i−i
χ91111111-1-111-1-11111111-11-111111111-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-11-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-111-1-1
χ101111111-1-111-1-11111111-11-111111111-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111
χ111111111-1-111-1-11111111-11-111111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-11111iiii−i−i−i−i−i−iii−i−iii−i−iii
χ121111111-1-111-1-11111111-11-111111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-11111−i−i−i−iiiiiii−i−iii−i−iii−i−i
χ131111111-1-1-1-1111111111-1-1111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111
χ141111111-1-1-1-1111111111-1-1111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ151111111-1-1-1-1111111111-1-1111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiii−i−i
χ161111111-1-1-1-1111111111-1-1111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−iii
χ171111-1-1111111111-1-1-1-11-1-1-1111-1-1-1-1111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-11-11-11-11-11-11-1
χ181111-1-1111111111-1-1-1-11-1-1-1111-1-1-1-1111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111-1-111-11-11-11-11-11-11
χ191111-1-1111111111-1-1-1-11-1-1-1111-1-1-1-1111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-111-1-111-1-111ii−i−i−i−iiii−ii−ii−i−ii−ii−ii
χ201111-1-1111111111-1-1-1-11-1-1-1111-1-1-1-1111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-111-1-111-1-111−i−iiiii−i−i−ii−ii−iii−ii−ii−i
χ211111-1-1111-1-1-1-111-1-1-1-11-111111-1-1-1-1111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-111-1-11111-1-111-1-11-1-11-111-1-11-11
χ221111-1-1111-1-1-1-111-1-1-1-11-111111-1-1-1-1111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-111-11-1-111-11-1
χ231111-1-1111-1-1-1-111-1-1-1-11-111111-1-1-1-1111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-111111-1-1-1-11111-1-111-1-1ii−i−i−i−iiii−i−ii−ii−iii−ii−i
χ241111-1-1111-1-1-1-111-1-1-1-11-111111-1-1-1-1111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-111111-1-1-1-11111-1-111-1-1−i−iiiii−i−i−iii−ii−ii−i−ii−ii
χ251111-1-11-1-111-1-111-1-1-1-111-11111-1-1-1-11-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11-11-1-11111-1-1-1-11111-1-111-1-1-111-1-11-111-1-11
χ261111-1-11-1-111-1-111-1-1-1-111-11111-1-1-1-11-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11-11-1-11111-1-1-1-111-1-111-1-1111-1-111-11-1-111-1
χ271111-1-11-1-111-1-111-1-1-1-111-11111-1-1-1-11-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-11-111-1-1-1-11111-1-1ii−i−i−i−iii−iii−i−iii−i−iii−i
χ281111-1-11-1-111-1-111-1-1-1-111-11111-1-1-1-11-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-11-111-1-1-1-11111-1-1−i−iiiii−i−ii−i−iii−i−iii−i−ii
χ291111-1-11-1-1-1-11111-1-1-1-1111-1111-1-1-1-11-1-111-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-111-1-11111-1-111-1-111-1-1-11-111-1-11-111-1
χ301111-1-11-1-1-1-11111-1-1-1-1111-1111-1-1-1-11-1-111-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-111-1-11111-1-1-1-111-1-1111-11-1-111-11-1-11
χ311111-1-11-1-1-1-11111-1-1-1-1111-1111-1-1-1-11-1-111-1-11111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-11111-1-1111-1-111-1-1-1-111ii−i−i−i−iii−ii−iii−ii−ii−i−ii
χ321111-1-11-1-1-1-11111-1-1-1-1111-1111-1-1-1-11-1-111-1-11111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-11111-1-1111-1-111-1-1-1-111−i−iiiii−i−ii−ii−i−ii−ii−iii−i
χ33222222-1222222-1-1-1-1-1-1-122222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ34222222-1222222-1-1-1-1-1-1-122222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111-2-2-211111111111100000000000000000000
χ35222222-122-2-2-2-2-1-1-1-1-1-1-12-2-222222222-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111122-2-2-2-222-1-1-1-1-1-1-1-12-2-2-1-1-1-11111111100000000000000000000
χ36222222-122-2-2-2-2-1-1-1-1-1-1-12-2-222222222-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-22222-2-211111111-2221111-1-1-1-1-1-1-1-100000000000000000000
χ37222222-1-2-222-2-2-1-1-1-1-1-1-1-22-2222222221111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-111111111-2-222-2-222-1-1-1-1-1-1-1-1-22-21111-1-1-1-1111100000000000000000000
χ38222222-1-2-222-2-2-1-1-1-1-1-1-1-22-2222222221111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-11111111122-2-222-2-2111111112-22-1-1-1-11111-1-1-1-100000000000000000000
χ39222222-1-2-2-2-222-1-1-1-1-1-1-1-2-222222222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-2-2211111111-1-1-1-100000000000000000000
χ40222222-1-2-2-2-222-1-1-1-1-1-1-1-2-222222222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-12222-2-2-2-21111111122-2-1-1-1-1-1-1-1-1111100000000000000000000
χ412222-2-2-1222222-1-11111-1-2-2-2222-2-2-2-22-1-111-1-111-1-111-1-1-1-1-1-111111111-1-1222222-2-222-2-222-2-2-1-1-1-11111-1-1-1-11111-1-1-1-11111222222-2-2-1-1-1-11111-2-2-2-1-111-1-111-1-11100000000000000000000
χ422222-2-2-1222222-1-11111-1-2-2-2222-2-2-2-22-1-111-1-111-1-111-1-1-1-1-1-111111111-1-1-2-2-2-222-2-222-2-222-2-2-1-1-1-11111-1-1-1-11111-1-1-1-11111-2-2-2-2-2-2221111-1-1-1-122211-1-111-1-111-1-100000000000000000000
χ432222-2-2-122-2-2-2-2-1-11111-1-222222-2-2-2-22-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1222222-2-2-2-222-2-222-1-1-1-111111111-1-1-1-11111-1-1-1-122-2-2-2-2-2-2-1-1-1-11111-222-1-11111-1-111-1-100000000000000000000
χ442222-2-2-122-2-2-2-2-1-11111-1-222222-2-2-2-22-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-2-2-2-222-2-2-2-222-2-222-1-1-1-111111111-1-1-1-11111-1-1-1-1-2-22222221111-1-1-1-12-2-211-1-1-1-111-1-11100000000000000000000
χ452222-2-2-1-2-222-2-2-1-11111-12-22222-2-2-2-2211-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-12222-2-22222-2-2-2-2221111-1-1-1-1-1-1-1-111111111-1-1-1-1-2-222-2-2-2-2-1-1-1-111112-2211-1-1-1-11111-1-100000000000000000000
χ462222-2-2-1-2-222-2-2-1-11111-12-22222-2-2-2-2211-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-2-2-2-2-2-22222-2-2-2-2221111-1-1-1-1-1-1-1-111111111-1-1-1-122-2-222221111-1-1-1-1-22-2-1-11111-1-1-1-11100000000000000000000
χ472222-2-2-1-2-2-2-222-1-11111-122-2222-2-2-2-2211-1-111-1-1-1-111-1-1-1-1-1-111111111-1-12222-2-222-2-22222-2-21111-1-1-1-11111-1-1-1-1-1-1-1-11111-2-2-2-222-2-2-1-1-1-1111122-211-1-111-1-1-1-11100000000000000000000
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χ1478-88-800-40000004-4−4i34i34i3−4i34000-22-2−252525−2520000000000001+i151−i15−1−i15−1+i151+i151−i152ζ4−2ζ68+2ζ76−2ζ922ζ28−2ζ44+2ζ52−2ζ116−2ζ4+2ζ68−2ζ76+2ζ92−2ζ28+2ζ44−2ζ52+2ζ116−2ζ4+2ζ68−2ζ76+2ζ92−2ζ28+2ζ44−2ζ52+2ζ1162ζ4−2ζ68+2ζ76−2ζ922ζ28−2ζ44+2ζ52−2ζ116−1−i15−1+i150000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1498-88-800-40000004-44i3−4i3−4i34i34000-22-2−252525−2520000000000001−i151+i15−1+i15−1−i151−i151+i15−2ζ28+2ζ44−2ζ52+2ζ116−2ζ4+2ζ68−2ζ76+2ζ922ζ28−2ζ44+2ζ52−2ζ1162ζ4−2ζ68+2ζ76−2ζ922ζ28−2ζ44+2ζ52−2ζ1162ζ4−2ζ68+2ζ76−2ζ92−2ζ28+2ζ44−2ζ52+2ζ116−2ζ4+2ζ68−2ζ76+2ζ92−1+i15−1−i150000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.