Finite Group Databasebeta

← Group #11792188

Character table — Group #11792188

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size111122222222222222444444444444444488888888888824242424242424241111222222222222224444444444444444888888888888242424242424242411112222222222222244444444444444448888888888882424242424242424
order12222234444666666644441212121212121212121212124444121212121212121224448888366666312121212666666612121212121212121212121212121212121212121212121212121212612121224242424366666312121212666666612121212121212121212121212121212121212121212121212121212612121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111
χ5111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111
χ7111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111-1-11-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111-1-11-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111-1-11-1-111
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-111-111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-111-111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-111-111-1-1
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χ119222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i3200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i3200000000
χ120222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111100000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200000000
χ121222222-12222-1-1-1-1-1-1-1-2-2-2-211111111-1-1-1-122-2-2-1-1-1-1111100000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i3−1−i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i3−1+i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200000000
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χ124222222-1-2-2-2-2-1-1-1-1-1-1-10000−i3−i3−i3−i3i3i3i3i31111-220011-1-1i3i3−i3−i300000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i31+i321+i321+i321+i321+i321+i321+i320000−3+i32−3+i32−3+i32−3+i323−i323−i323−i323−i32−1−i32−1−i32−1−i32−1−i321+i3−1−i300−1−i32−1−i321+i321+i323−i323−i32−3+i32−3+i3200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i31−i321−i321−i321−i321−i321−i321−i3200003+i323+i323+i323+i32−3−i32−3−i32−3−i32−3−i32−1+i32−1+i32−1+i32−1+i321−i3−1+i300−1+i32−1+i321−i321−i32−3−i32−3−i323+i323+i3200000000
χ125222222-1-2-2-2-2-1-1-1-1-1-1-10000i3i3i3i3−i3−i3−i3−i311112-200-1-111i3i3−i3−i300000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i31+i321+i321+i321+i321+i321+i321+i3200003−i323−i323−i323−i32−3+i32−3+i32−3+i32−3+i32−1−i32−1−i32−1−i32−1−i32−1−i31+i3001+i321+i32−1−i32−1−i323−i323−i32−3+i32−3+i3200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i31−i321−i321−i321−i321−i321−i321−i320000−3−i32−3−i32−3−i32−3−i323+i323+i323+i323+i32−1+i32−1+i32−1+i32−1+i32−1+i31−i3001−i321−i32−1+i32−1+i32−3−i32−3−i323+i323+i3200000000
χ126222222-1-2-2-2-2-1-1-1-1-1-1-10000i3i3i3i3−i3−i3−i3−i31111-220011-1-1−i3−i3i3i300000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i31+i321+i321+i321+i321+i321+i321+i3200003−i323−i323−i323−i32−3+i32−3+i32−3+i32−3+i32−1−i32−1−i32−1−i32−1−i321+i3−1−i300−1−i32−1−i321+i321+i32−3+i32−3+i323−i323−i3200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i31−i321−i321−i321−i321−i321−i321−i320000−3−i32−3−i32−3−i32−3−i323+i323+i323+i323+i32−1+i32−1+i32−1+i32−1+i321−i3−1+i300−1+i32−1+i321−i321−i323+i323+i32−3−i32−3−i3200000000
χ1272222-2-222-22-222-2-2-2-2200000000000022-2-200000000000002-200000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i31+i31+i3−1−i3000000000000−1−i3−1−i31+i31+i30000000000000−1−i31+i300000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i31−i31−i3−1+i3000000000000−1+i3−1+i31−i31−i30000000000000−1+i31−i300000
χ1282222-2-222-22-222-2-2-2-2200000000000022-2-20000000000000-2200000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i31+i31+i3−1−i3000000000000−1−i3−1−i31+i31+i300000000000001+i3−1−i300000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i31−i31−i3−1+i3000000000000−1+i3−1+i31−i31−i300000000000001−i3−1+i300000
χ1292222-2-22-22-2222-2-2-2-22000000000000-2-222000000000000200-20000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i30000000000001+i31+i3−1−i3−1−i3000000000000−1−i3001+i30000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i30000000000001−i31−i3−1+i3−1+i3000000000000−1+i3001−i30000
χ1302222-2-22-22-2222-2-2-2-22000000000000-2-222000000000000-20020000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i30000000000001+i31+i3−1−i3−1−i30000000000001+i300−1−i30000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i30000000000001−i31−i3−1+i3−1+i30000000000001−i300−1+i30000
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χ1322-2-222-2222-2-2-2-222-2-220000000000002-22-20000000000000000−2i2i00−1−i31+i31+i3−1−i3−1−i31+i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i31+i3−1−i3000000000000−1−i31+i3−1−i31+i30000000000000000−2ζ112ζ1100−1+i31−i31−i3−1+i3−1+i31−i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i31−i3−1+i3000000000000−1+i31−i3−1+i31−i30000000000000000−2ζ72ζ700
χ1332-2-222-22-2-222-2-222-2-22000000000000-22-220000000000000000002-2−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i30000000000001+i3−1−i31+i3−1−i3000000000000000000−1−i31+i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i30000000000001−i3−1+i31−i3−1+i3000000000000000000−1+i31−i3
χ1342-2-222-22-2-222-2-222-2-22000000000000-22-22000000000000000000-22−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i30000000000001+i3−1−i31+i3−1−i30000000000000000001+i3−1−i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i30000000000001−i3−1+i31−i3−1+i30000000000000000001−i3−1+i3
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χ1422-2-22-22-12-2-221111-1-1-10000i3i3−i3−i3−i3−i3i3i3-111-100-22−i3i3−i3i31-11-100000000−1−i31+i31+i3−1−i31+i3−1−i31+i32−1−i31+i31+i3−1−i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i3200003−i323−i32−3+i32−3+i32−3+i32−3+i323−i323−i321+i32−1−i32−1−i321+i32001+i3−1−i3−3+i323−i32−3+i323−i32−1−i321+i32−1−i321+i3200000000−1+i31−i31−i3−1+i31−i3−1+i31−i32−1+i31−i31−i3−1+i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i320000−3−i32−3−i323+i323+i323+i323+i32−3−i32−3−i321−i32−1+i32−1+i321−i32001−i3−1+i33+i32−3−i323+i32−3−i32−1+i321−i32−1+i321−i3200000000
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χ1452-2-22-22-1-222-21111-1-1-1-2-22211-1-111-1-11-1-110000−i3i3i3−i3i3−i3−i3i300000000−1−i31+i31+i3−1−i31+i3−1−i31+i321+i3−1−i3−1−i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i31+i3−1−i3−1−i3−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i320000−3+i323−i323−i32−3+i323−i32−3+i32−3+i323−i3200000000−1+i31−i31−i3−1+i31−i3−1+i31−i321−i3−1+i3−1+i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i31−i3−1+i3−1+i3−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i3200003+i32−3−i32−3−i323+i32−3−i323+i323+i32−3−i3200000000
χ1462-2-22-22-1-222-21111-1-1-1-2-22211-1-111-1-11-1-110000i3−i3−i3i3−i3i3i3−i300000000−1−i31+i31+i3−1−i31+i3−1−i31+i321+i3−1−i3−1−i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i31+i3−1−i3−1−i3−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i3200003−i32−3+i32−3+i323−i32−3+i323−i323−i32−3+i3200000000−1+i31−i31−i3−1+i31−i3−1+i31−i321−i3−1+i3−1+i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i31−i3−1+i3−1+i3−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i320000−3−i323+i323+i32−3−i323+i32−3−i32−3−i323+i3200000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.