Finite Group Databasebeta

← Group #13177957

Character table — Group #13177957

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135
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χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
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χ311111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1
χ411111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ511111111111111111111111111111-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1111-11-1
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χ1114-44-4-2-24-2-2222-222-2-4-4422-2-2211-21000-1-1-1-122-1-111-212i3−2i3−2i32i3002i3−2i32i3−2i300000000000000−i3i3i3−i300−i3i3−i3i3−i3i32i3−2i3−i3i33-3-33003-300000000000000000000000000000000000000000000
χ1124-44-4-2-2-244-422-222-222-2-4-444-4-2-2-24000222222-4-4-2-2-24−2i32i3−2i32i32i3−2i3000000000000000000−2i32i3−2i32i32i3−2i300000000000000000000000000000000000000000000000000000000000000
χ1134-44-4-2-2-244-422-222-222-2-4-444-4-2-2-24000222222-4-4-2-2-242i3−2i32i3−2i3−2i32i30000000000000000002i3−2i32i3−2i3−2i32i300000000000000000000000000000000000000000000000000000000000000
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χ1184-4-444444-2-2-44-4-44-4-44-4-44-422-2-2-2-20002-22-22-22-222220000000000000000000000000000000000000000000000000000000000000000004-4000000000000-220000000000
χ1194-4-444444-2-2-44-4-44-4-44-4-44-422-2-2-2-20002-22-22-22-22222000000000000000000000000000000000000000000000000000000000000000000-440000000000002-20000000000
χ1204-4-444-2-2-244-44-42-222-222-22-4-44-2-2-2000-442-22-22-2-422200000000004i−4i000000000000000000000000000000000000004i−4i−2i2i−2i2i−2i2i0000000000000000000000000000000000
χ1214-4-444-2-2-244-44-42-222-222-22-4-44-2-2-2000-442-22-22-2-42220000000000−4i4i00000000000000000000000000000000000000−4i4i2i−2i2i−2i2i−2i0000000000000000000000000000000000
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χ1234-4-44-24-2-2442-22-44-42-222-22-4-4-24-2-20002-2-442-22-22-4220000000000−4i4i000000000000000000000000000000000000002i−2i−4i4i2i−2i2i−2i0000000000000000000000000000000000
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χ1264-4-44-2-2-24442-222-222-22-44-4-4-4-2-2-240002-22-22-2-44222-400000000004i−4i00000000000000000000000000000000000000−2i2i−2i2i−2i2i4i−4i0000000000000000000000000000000000
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χ12888-8-88-4-4-4-448-8-8-444-444-4444-4-4222000-442-22-22-24-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1328-8-888-4-4-4-4-4-88-84-444-444-4444-42220004-4-22-22-224-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1358-8-88-4-4-48-4-44-444-444-44-88-844222-4000-22-22-224-4-2-2-2400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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