Finite Group Databasebeta

← Group #11792397

Character table — Group #11792397

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size111122222222222222444444444444444488888888888824242424242424241111222222222222224444444444444444888888888888242424242424242411112222222222222244444444444444448888888888882424242424242424
order1244222344466612121212224466666612121212121224446612121212121224448888361212666312121266612121212661212666666121212121212612121266121212121212612121224242424361212666312121266612121212661212666666121212121212612121266121212121212612121224242424
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
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111
χ6111111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-1-1-111-1-11111-1-1111111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-1-1-111-1-11111-1-1111111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-1-1-111-1-11111-1-1
χ7111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-11111-1-111-1-111-1-1111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-11111-1-111-1-111-1-1111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-11111-1-111-1-111-1-1
χ8111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-111-1-111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-111-1-111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-111-1-111
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χ2422-2-22222-2-2-2222-2-2-2-2-2-22222-2-2-2-2-2-222220000000000000000000022-2-22222-2-2-2222-2-2-2-2-2-22222-2-2-2-2-2-222220000000000000000000022-2-22222-2-2-2222-2-2-2-2-2-22222-2-2-2-2-2-2222200000000000000000000
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χ632222222-1222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+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−i3−1−i31+i32−1−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
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χ662222222-1222-1-1-1-1-1-1-1-2-2-2-2-1-11111-1-11111-2-22211-1-1-1-11100000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i3−1+i3−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i3200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i3−1−i3−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i3200000000
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χ1172222222-1222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−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+i3−1+i31−i32−1+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
χ1182222222-1222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111100000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−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+i3−1+i31−i32−1+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
χ1192222222-1222-1-1-1-1-1-1-1-2-2-2-2-1-11111-1-1111122-2-2-1-11111-1-100000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i31+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i3200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i31−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i3200000000
χ1202222222-1222-1-1-1-1-1-1-1-2-2-2-2-1-11111-1-11111-2-22211-1-1-1-11100000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i3−1−i3−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i3200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i3−1+i3−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i3200000000
χ12122222-2-22-2-22-2-2222-2-200002-200002-200000000000000000000002-2−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i30000−1−i31+i30000−1−i31+i30000000000000000000000−1−i31+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i30000−1+i31−i30000−1+i31−i30000000000000000000000−1+i31−i3
χ12222222-2-22-2-22-2-2222-2-200002-200002-20000000000000000000000-22−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i30000−1−i31+i30000−1−i31+i300000000000000000000001+i3−1−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i30000−1+i31−i30000−1+i31−i300000000000000000000001−i3−1+i3
χ1232222-22-222-2-222222220000-2-20000-2-20000002-20022-2-20000000000−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i300001+i31+i300001+i31+i3000000−1−i31+i300−1−i3−1−i31+i31+i30000000000−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i300001−i31−i300001−i31−i3000000−1+i31−i300−1+i3−1+i31−i31−i30000000000
χ1242222-22-222-2-222222220000-2-20000-2-2000000-2200-2-2220000000000−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i300001+i31+i300001+i31+i30000001+i3−1−i3001+i31+i3−1−i3−1−i30000000000−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i300001−i31−i300001−i31−i30000001−i3−1+i3001−i31−i3−1+i3−1+i30000000000
χ1252222-22-2-12-2-2-1-1-1-1-1-1-1000011−i3−i3i3i311−i3−i3i3i3002-2−i3i3-1-111−i3i300000000−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i32−1−i31+i31+i31+i321+i321+i321+i321+i321+i321+i320000−1−i32−1−i32−3+i32−3+i323−i323−i32−1−i32−1−i32−3+i32−3+i323−i323−i3200−1−i31+i3−3+i323−i321+i321+i32−1−i32−1−i32−3+i323−i3200000000−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i32−1+i31−i31−i31−i321−i321−i321−i321−i321−i321−i320000−1+i32−1+i323+i323+i32−3−i32−3−i32−1+i32−1+i323+i323+i32−3−i32−3−i3200−1+i31−i33+i32−3−i321−i321−i32−1+i32−1+i323+i32−3−i3200000000
χ1262222-22-2-12-2-2-1-1-1-1-1-1-1000011−i3−i3i3i311−i3−i3i3i300-22i3−i311-1-1i3−i300000000−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i32−1−i31+i31+i31+i321+i321+i321+i321+i321+i321+i320000−1−i32−1−i32−3+i32−3+i323−i323−i32−1−i32−1−i32−3+i32−3+i323−i323−i32001+i3−1−i33−i32−3+i32−1−i32−1−i321+i321+i323−i32−3+i3200000000−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i32−1+i31−i31−i31−i321−i321−i321−i321−i321−i321−i320000−1+i32−1+i323+i323+i32−3−i32−3−i32−1+i32−1+i323+i323+i32−3−i32−3−i32001−i3−1+i3−3−i323+i32−1+i32−1+i321−i321−i32−3−i323+i3200000000
χ1272222-22-2-12-2-2-1-1-1-1-1-1-1000011i3i3−i3−i311i3i3−i3−i3002-2i3−i3-1-111i3−i300000000−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i32−1−i31+i31+i31+i321+i321+i321+i321+i321+i321+i320000−1−i32−1−i323−i323−i32−3+i32−3+i32−1−i32−1−i323−i323−i32−3+i32−3+i3200−1−i31+i33−i32−3+i321+i321+i32−1−i32−1−i323−i32−3+i3200000000−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i32−1+i31−i31−i31−i321−i321−i321−i321−i321−i321−i320000−1+i32−1+i32−3−i32−3−i323+i323+i32−1+i32−1+i32−3−i32−3−i323+i323+i3200−1+i31−i3−3−i323+i321−i321−i32−1+i32−1+i32−3−i323+i3200000000
χ1282222-22-2-12-2-2-1-1-1-1-1-1-1000011i3i3−i3−i311i3i3−i3−i300-22−i3i311-1-1−i3i300000000−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i32−1−i31+i31+i31+i321+i321+i321+i321+i321+i321+i320000−1−i32−1−i323−i323−i32−3+i32−3+i32−1−i32−1−i323−i323−i32−3+i32−3+i32001+i3−1−i3−3+i323−i32−1−i32−1−i321+i321+i32−3+i323−i3200000000−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i32−1+i31−i31−i31−i321−i321−i321−i321−i321−i321−i320000−1+i32−1+i32−3−i32−3−i323+i323+i32−1+i32−1+i32−3−i32−3−i323+i323+i32001−i3−1+i33+i32−3−i32−1+i32−1+i321−i321−i323+i32−3−i3200000000
χ1292222-2-222-22-2-2-2222-2-20000-220000-220000000000000000002-20000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i300001+i3−1−i300001+i3−1−i3000000000000000000−1−i31+i30000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i300001−i3−1+i300001−i3−1+i3000000000000000000−1+i31−i30000
χ1302222-2-222-22-2-2-2222-2-20000-220000-22000000000000000000-220000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i300001+i3−1−i300001+i3−1−i30000000000000000001+i3−1−i30000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i300001−i3−1+i300001−i3−1+i30000000000000000001−i3−1+i30000
χ13122-2-22222-2-2-2222-2-2-2-222-2-2222222-2-2-2-2-2-200000000000000000000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i300000000000000000000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i300000000000000000000
χ13222-2-22222-2-2-2222-2-2-2-2-2-22222-2-2-2-2-2-2222200000000000000000000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i300000000000000000000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i300000000000000000000
χ13322-2-2222-1-2-2-2-1-1-1111122-2-2-1-1-1-1-1-11111110000−i3i3−i3i3−i3i3i3−i300000000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i31+i31+i31+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i320000−3+i323−i32−3+i323−i32−3+i323−i323−i32−3+i3200000000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i31−i31−i31−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200003+i32−3−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.