Finite Group Databasebeta

← Group #14418994

Character table — Group #14418994

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size1111111122222222222244444444444444444444444444444444444444445555555588888888888888888888888888888888888810101010101010101010101020202020202020202020202020202020303030303030303030303030303030306060606060606060
order12224444223446661212121224445666610101012121212121212121515202020203030303030306060606060606060444444441010101020202020202020203030303030303030606060606060606060606060606060604444121212121212121224446612121212121212121212888888888888888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii
χ511111111111111111111-1-1-1-1111-1-111111-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ611111111111111111111-1-1-1-1111-1-111111-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111-1-1-1-1111-1-111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii
χ811111111111111111111-1-1-1-1111-1-111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i
χ911111111-1-11-1-1111111111-1-11-1-111111-1-111-1-1-1-11111111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-1
χ1011111111-1-11-1-1111111111-1-11-1-111111-1-111-1-1-1-11111111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-111
χ1111111111-1-11-1-1111111111-1-11-1-111111-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii
χ1211111111-1-11-1-1111111111-1-11-1-111111-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i
χ1311111111-1-11-1-11111111-1-1111-1-1-1-1111-1-1-1-111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111
χ1411111111-1-11-1-11111111-1-1111-1-1-1-1111-1-1-1-111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ1511111111-1-11-1-11111111-1-1111-1-1-1-1111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i
χ1611111111-1-11-1-11111111-1-1111-1-1-1-1111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii
χ171111-1-1-1-1111-1-1111-1-1-1-11-11-111111111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-11-111-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−ii−ii−ii−ii−i
χ181111-1-1-1-1111-1-1111-1-1-1-11-11-111111111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-11-111-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii−ii−ii−ii−ii
χ191111-1-1-1-1111-1-1111-1-1-1-11-11-111111111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11-11-1-111-1-111-1-11111-1-111-1-1-1-111-1-1111-11-1-11-11
χ201111-1-1-1-1111-1-1111-1-1-1-11-11-111111111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11-11-1-111-1-111-1-111-1-111-1-11111-1-111-1-1-11-111-11-1
χ211111-1-1-1-1111-1-1111-1-1-1-1-11-11111-1-1111-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-11-11-1-11111-1-1-1-111ii−i−iii−i−iii−i−iii−i−i−ii−ii−ii−ii
χ221111-1-1-1-1111-1-1111-1-1-1-1-11-11111-1-1111-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-11-11-1-11111-1-1-1-111−i−iii−i−iii−i−iii−i−iiii−ii−ii−ii−i
χ231111-1-1-1-1111-1-1111-1-1-1-1-11-11111-1-1111-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111111-11-111-1-1-1-11111-1-111-1-111-1-1-1-111-1-111-11-111-11-1
χ241111-1-1-1-1111-1-1111-1-1-1-1-11-11111-1-1111-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111111-11-111-1-1-1-11111-1-1-1-111-1-11111-1-111-1-11-11-1-11-11
χ251111-1-1-1-1-1-1111111-1-1-1-11-1-111-1-11111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-111-1-1-111-1-11111-1-1ii−i−i−i−iiiii−i−i−i−iiii−i−iii−i−ii
χ261111-1-1-1-1-1-1111111-1-1-1-11-1-111-1-11111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-111-1-1-111-1-11111-1-1−i−iiiii−i−i−i−iiiii−i−i−iii−i−iii−i
χ271111-1-1-1-1-1-1111111-1-1-1-11-1-111-1-11111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111111-1-1111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-11-1-11-111-1
χ281111-1-1-1-1-1-1111111-1-1-1-11-1-111-1-11111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111111-1-1111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-111-11-1-11
χ291111-1-1-1-1-1-1111111-1-1-1-1-111-11-1-1-1-1111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1111111-1-1-1-11-1-1111-1-1-1-111-1-111ii−i−i−i−iiiii−i−i−i−iii−iii−i−iii−i
χ301111-1-1-1-1-1-1111111-1-1-1-1-111-11-1-1-1-1111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1111111-1-1-1-11-1-1111-1-1-1-111-1-111−i−iiiii−i−i−i−iiiii−i−ii−i−iii−i−ii
χ311111-1-1-1-1-1-1111111-1-1-1-1-111-11-1-1-1-1111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-11111-111-1-1-11111-1-111-1-111-1-1-1-111-1-11111-1-1-111-11-1-11
χ321111-1-1-1-1-1-1111111-1-1-1-1-111-11-1-1-1-1111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-11111-111-1-1-11111-1-111-1-1-1-11111-1-111-1-1-1-1111-1-11-111-1
χ332222222222-122-1-1-1-1-1-1-122222-1-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ342222222222-122-1-1-1-1-1-1-122222-1-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-2111111111111000000000000000000000000
χ352222222222-122-1-1-1-1-1-1-1-2-2-2-22-1-111222-1-1111111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-2-2-2-2-2-222-2-2-1-1-1-1111111111111-1-1-1-111112222-1-1-1-1-1-1-1-1-2-2-2-21111-1-1-1-11111000000000000000000000000
χ362222222222-122-1-1-1-1-1-1-1-2-2-2-22-1-111222-1-1111111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-2-2-2-2-2-222-2-2-1-1-1-1111111111111-1-1-1-11111-2-2-2-2111111112222-1-1-1-11111-1-1-1-1000000000000000000000000
χ3722222222-2-2-1-2-2-1-1-1-1-1-1-122-2-2211-1-122211-1-11111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-222-2-2-2-2-2-2221111-1-1-1-1111111111111-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-2-22211111111-1-1-1-1000000000000000000000000
χ3822222222-2-2-1-2-2-1-1-1-1-1-1-122-2-2211-1-122211-1-11111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-2221111-1-1-1-1111111111111-1-1-1-122221111111122-2-2-1-1-1-1-1-1-1-11111000000000000000000000000
χ3922222222-2-2-1-2-2-1-1-1-1-1-1-1-2-222211112221111-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-111111111-2-2-2-2-1-1-1-1-1-1-1-122-2-2-1-1-1-111111111000000000000000000000000
χ4022222222-2-2-1-2-2-1-1-1-1-1-1-1-2-222211112221111-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-111111111222211111111-2-2221111-1-1-1-1-1-1-1-1000000000000000000000000
χ412222-2-2-2-222-1-2-2-1-1-111112-22-22-1-1-1-12221111-1-111-1-1-2-2-2-2-1-1-1-1-1-1111111112222-2-2-2-2222222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111122-2-2-1-1-1-111112-22-2-1-111-1-111-1-111000000000000000000000000
χ422222-2-2-2-222-1-2-2-1-1-111112-22-22-1-1-1-12221111-1-111-1-1-2-2-2-2-1-1-1-1-1-111111111-2-2-2-22222222222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111-2-2221111-1-1-1-1-22-2211-1-111-1-111-1-1000000000000000000000000
χ432222-2-2-2-222-1-2-2-1-1-11111-22-222-1-11122211-1-111-1-1-1-1-2-2-2-2-1-1-1-1-1-1111111112222-2-2-2-222-2-2-2-222-2-222-1-1-1-111111111-1-1-1-11111-1-1-1-122-2-2-1-1-1-11111-22-2211-1-1-1-11111-1-1000000000000000000000000
χ442222-2-2-2-222-1-2-2-1-1-11111-22-222-1-11122211-1-111-1-1-1-1-2-2-2-2-1-1-1-1-1-111111111-2-2-2-2222222-2-2-2-222-2-222-1-1-1-111111111-1-1-1-11111-1-1-1-1-2-2221111-1-1-1-12-22-2-1-11111-1-1-1-111000000000000000000000000
χ452222-2-2-2-2-2-2-122-1-1-111112-2-22211-1-1222-1-11111-1-1-1-1-2-2-2-2-1-1-1-1-1-1111111112222-2-2-2-2-2-222-2-22222-2-21111-1-1-1-11111-1-1-1-1-1-1-1-11111-2-222-1-1-1-11111-222-211-1-111-1-1-1-111000000000000000000000000
χ462222-2-2-2-2-2-2-122-1-1-111112-2-22211-1-1222-1-11111-1-1-1-1-2-2-2-2-1-1-1-1-1-111111111-2-2-2-22222-2-222-2-22222-2-21111-1-1-1-11111-1-1-1-1-1-1-1-1111122-2-21111-1-1-1-12-2-22-1-111-1-11111-1-1000000000000000000000000
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χ14988-8-8-8-88800-400-44444-4-40000-2000022-2000000001−i151+i1522-2-2−1+i15−1−i15−1+i15−1−i151−i151+i15−1+i15−1−i15−1+i15−1−i151−i151+i151−i151+i15000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ15088-8-8-8-88800-400-44444-4-40000-2000022-2000000001+i151−i1522-2-2−1−i15−1+i15−1−i15−1+i151+i151−i15−1−i15−1+i15−1−i15−1+i151+i151−i151+i151−i15000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1518-88-88i−8i8i−8i00800-88-88i−8i8i−8i0000-20000-22200000000-2-2−2i2i−2i2i-2-22222−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1528-88-88i−8i8i−8i00-4004-44−4i4i−4i4i0000-20000-222000000001−i151+i15−2i2i−2i2i1−i151+i15−1+i15−1−i15−1+i15−1−i152ζ14+2ζ22+2ζ86+2ζ1182ζ38+2ζ46+2ζ62+2ζ94−2ζ14−2ζ22−2ζ86−2ζ118−2ζ38−2ζ46−2ζ62−2ζ942ζ14+2ζ22+2ζ86+2ζ1182ζ38+2ζ46+2ζ62+2ζ94−2ζ14−2ζ22−2ζ86−2ζ118−2ζ38−2ζ46−2ζ62−2ζ94000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1538-88-88i−8i8i−8i00-4004-44−4i4i−4i4i0000-20000-222000000001+i151−i15−2i2i−2i2i1+i151−i15−1−i15−1+i15−1−i15−1+i152ζ38+2ζ46+2ζ62+2ζ942ζ14+2ζ22+2ζ86+2ζ118−2ζ38−2ζ46−2ζ62−2ζ94−2ζ14−2ζ22−2ζ86−2ζ1182ζ38+2ζ46+2ζ62+2ζ942ζ14+2ζ22+2ζ86+2ζ118−2ζ38−2ζ46−2ζ62−2ζ94−2ζ14−2ζ22−2ζ86−2ζ118000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1548-88-8−8i8i−8i8i00800-88-8−8i8i−8i8i0000-20000-22200000000-2-22i−2i2i−2i-2-222222i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1558-88-8−8i8i−8i8i00-4004-444i−4i4i−4i0000-20000-222000000001−i151+i152i−2i2i−2i1−i151+i15−1+i15−1−i15−1+i15−1−i15−2ζ14−2ζ22−2ζ86−2ζ118−2ζ38−2ζ46−2ζ62−2ζ942ζ14+2ζ22+2ζ86+2ζ1182ζ38+2ζ46+2ζ62+2ζ94−2ζ14−2ζ22−2ζ86−2ζ118−2ζ38−2ζ46−2ζ62−2ζ942ζ14+2ζ22+2ζ86+2ζ1182ζ38+2ζ46+2ζ62+2ζ94000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1568-88-8−8i8i−8i8i00-4004-444i−4i4i−4i0000-20000-222000000001+i151−i152i−2i2i−2i1+i151−i15−1−i15−1+i15−1−i15−1+i15−2ζ38−2ζ46−2ζ62−2ζ94−2ζ14−2ζ22−2ζ86−2ζ1182ζ38+2ζ46+2ζ62+2ζ942ζ14+2ζ22+2ζ86+2ζ118−2ζ38−2ζ46−2ζ62−2ζ94−2ζ14−2ζ22−2ζ86−2ζ1182ζ38+2ζ46+2ζ62+2ζ942ζ14+2ζ22+2ζ86+2ζ118000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.