Finite Group Databasebeta

← Group #13177544

Character table — Group #13177544

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
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order122233333446666666666666662233336666666666666666121212121212121212124444666666666666666666666666121212121212121244442212121212121212121212121212121212221212121266666666446612121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
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χ31111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111-1-11111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ611111111111111111111111111-1-11111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
χ711111111111111111111111111-1-11111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-11111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111111111-1-1
χ9111111111-1-11111111111111111-1111111-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1-111-1-111-1-11-1
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χ13111111111-1-1111111111111111-111111-1-111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-11-1-1-1-11111-1-1-11
χ14111111111-1-1111111111111111-111111-1-111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-11111-1-1-1-1111-1
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χ1722222222-122-1-1222222222222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1000022222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200000000000000000022-1-1-1-10000000022-1-1-1-1-1-1000000
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χ1922222222-122-1-1222222222222-1-2-2-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-122222222-1-10000-2-2-2-2-2-2-2-21111111111111111-1-1-1-1-1-1-1-1222200000000000000000022-1-1-1-100000000-2-2-1-11111000000
χ2022222222-122-1-1222222222222-1-2-2-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-122222222-1-10000-2-2-2-2-2-2-2-21111111111111111-1-1-1-1-1-1-1-1-2-2-2-2000000000000000000-2-21111000000002211-1-1-1-1000000
χ2122222222-1-2-2-1-1222222222222-12-2-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21100002222-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222000000000000000000-2-2-1-1-1-1000000002-211-1-111000000
χ2222222222-1-2-2-1-1222222222222-12-2-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21100002222-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-200000000000000000022111100000000-22-1-111-1-1000000
χ2322222222-1-2-2-1-1222222222222-1-22-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2110000-2-2-2-2222211111111-1-1-1-1-1-1-1-1111111112222000000000000000000-2-2-1-1-1-100000000-221111-1-1000000
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χ3122222-1-1-12-2-2222-1-1-122-1-1-1-1-1-12-222-1-1-1-2-22222-1-1-1-1-1-12-1-1-1-2-2111111-2-222-2-2-21112-1-1-1-2-211111122-1-1-1-1-1-1-2-21111110000-2222-1-1-1-1-1-1-2-2111111000000-21112-1-1-100000000000000
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χ1354-4-44-2-2-24-2-4422-2-2-24222222-4-4-200111-2−2i32i32i3−2i3-1-1-1-1-1-122111-22-22-22-2-442-2000000000000i3−i3i3−i3i3−i3−2i32i3−i3i3−i3i3−i3i32i3−2i3-11-11-112-200000000000000000000000000000000000000000000000000
χ1364-4-44-2-2-24-2-4422-2-2-24222222-4-4-200111-22i3−2i3−2i32i3-1-1-1-1-1-122111-22-22-22-2-442-2000000000000−i3i3−i3i3−i3i32i3−2i3i3−i3i3−i3i3−i3−2i32i3-11-11-112-200000000000000000000000000000000000000000000000000
χ13788-8-88-4-4-4-400-44-84448-8-44-44-44400-42220000-442-22-22-24-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13888-8-8-48-4-4-400-444-844-448-8-44-444002-42200002-2-442-22-2-24-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13988-8-8-4-48-4-400-4444-84-44-448-8-4440022-4200002-22-2-442-2-2-24-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14088-8-8-4-4-48-400-44444-8-44-44-448-8400222-400002-22-22-2-44-2-2-24000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1418-88-88-4-4-4-4004-4-8444-884-44-44-4400-422200004-4-22-22-224-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1428-88-8-48-4-4-4004-44-8444-4-884-44-44002-4220000-224-4-22-22-24-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1438-88-8-4-48-4-4004-444-844-44-4-884-440022-420000-22-224-4-22-2-24-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1448-88-8-4-4-48-4004-4444-84-44-44-4-88400222-40000-22-22-224-4-2-2-24000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).