Finite Group Databasebeta

← Group #13173079

Character table — Group #13173079

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size112222222224444444444444668888888888888888881212121212121212121212121212121212161616161616161616161616161616161616161616161616161616108108216216216
order1233334666641212121212121212121212122433333333366666666626666666666661212121212121212121212121212121212121212121212121212121212121244288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1
χ311111111111-11111-1-1-1-1-1-1-1-111111111111111111111-11111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1
χ411111111111-11111-1-1-1-1-1-1-1-111111111111111111111-11111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11
χ522222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000
χ622222222222-22222-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-22222-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-111111111111111111100000
χ7222222-222220-2-2-2-200000000-222222222222222222220-2-2-2-2000000002222-2-2-2-2-2-2-2-2-200000000000000000000000
χ8222222-222220-2-2-2-200000000-22-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10-2-2-2-2000000002222111111111i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3−i300000
χ9222222-222220-2-2-2-200000000-22-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10-2-2-2-2000000002222111111111−i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3i300000
χ10222-1-1-122-1-1-122-1-1-122-1-1-1-1-1-122222-1-1-1-1-1-1222-1-1-1-1-1-122-1-1-122-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-100000
χ11222-1-1-122-1-1-122-1-1-122-1-1-1-1-1-122-1-1-1222-1-1-1-1-1-1222-1-1-122-1-1-122-1-1-1-1-1-12-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-100000
χ12222-1-1-122-1-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-122222-1-1-122-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-122200000
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χ2322-12-1-12-12-1-12-12-1-1-1-12-1-12-1-122-12-1-12-1-12-1-12-1-12-1-12-12-12-1-1-1-12-1-12-1-1-12-1-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-12-100000
χ2422-12-1-12-12-1-12-12-1-1-1-12-1-12-1-122-1-12-1-12-1-12-1-12-1-12-1-122-12-1-1-1-12-1-12-1-1-12-1-1-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-1200000
χ2522-12-1-12-12-1-1-2-12-1-111-211-211222-1-12-1-12-1-12-1-12-1-12-1-1-2-12-1-111-211-211-12-1-12-1-12-1-12-1-1-211-211-211-211-211-21100000
χ2622-12-1-12-12-1-1-2-12-1-111-211-21122-12-1-12-1-12-1-12-1-12-1-12-1-2-12-1-111-211-211-12-1-1-12-1-12-1-12-11-211-211-211-211-211-2100000
χ2722-12-1-12-12-1-1-2-12-1-111-211-21122-1-12-1-12-1-12-1-12-1-12-1-12-2-12-1-111-211-211-12-1-1-1-12-1-12-1-1211-211-211-211-211-211-200000
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χ3522-1-12-12-1-12-12-1-12-1-1-1-12-1-1-1222-12-1-1-122-1-1-12-1-1-122-1-12-1-12-1-1-1-12-1-1-12-1-12-1-12-1-1-122-1-1-12-1-1-122-1-1-12-1-1-122-1-100000
χ3622-1-12-12-1-12-12-1-12-1-1-1-12-1-1-1222-1-122-1-1-12-1-1-122-1-1-12-12-1-12-1-1-1-12-1-1-12-1-12-1-1-122-1-1-12-1-1-122-1-1-12-1-1-122-1-1-12-100000
χ3722-1-12-12-1-12-1-2-1-12-1111-2111-2222-1-1-12-1-1-122-1-1-12-1-1-12-2-1-12-1111-2111-2-1-12-12-1-1-12-1-1-12-2111-2111-2-2111-2111-200000
χ3822-1-12-12-1-12-1-2-1-12-1111-2111-222-12-1-1-122-1-1-12-1-1-122-1-1-2-1-12-1111-2111-2-1-12-1-12-1-1-122-1-11-2111-2-2111-2111-2-21100000
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χ4122-1-12-1-2-1-12-1011-21i3−i3−i30i3i3−i30-22-12-1-1-122-1-1-12-1-1-122-1-1011-21i3−i3−i30i3i3−i30-1-12-11-2111-2-211−i30i3i3−i300i3−i3i30−i3−i3i300−i3i300000
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χ4522-1-12-1-2-1-12-1011-21−i3i3i30−i3−i3i30-22-1-122-1-1-12-1-1-122-1-1-12-1011-21−i3i3i30−i3−i3i30-1-12-111-2-2111-21−i3i300−i3i3i30−i3i3−i300i3−i3−i30i300000
χ4622-1-1-122-1-1-122-1-1-12-1-1-1-12-12-1222-1-1-1-12-12-12-1-1-1-12-12-12-1-1-12-1-1-1-12-12-1-1-1-122-1-1-1-12-12-12-1-1-1-12-12-12-1-1-1-12-12-100000
χ4722-1-1-122-1-1-122-1-1-12-1-1-1-12-12-122-12-12-1-1-1-12-12-12-1-1-1-122-1-1-12-1-1-1-12-12-1-1-1-12-12-12-1-1-1-12-12-12-1-1-1-12-12-12-1-1-1-1200000
χ4822-1-1-122-1-1-122-1-1-12-1-1-1-12-12-122-1-12-12-12-1-1-1-12-12-12-1-12-1-1-12-1-1-1-12-12-1-1-1-12-1-12-12-12-1-1-1-12-12-12-1-1-1-12-12-12-1-100000
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χ818-888880-8-8-8-8000000000000000222222222-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000
χ828-88-4-4-40-8444000000000000000222222-4-4-4-2-2-2-2-2-24440000000000000000000000000000000000000000000000000
χ838-88-4-4-40-8444000000000000000222-4-4-4222-2-2-2444-2-2-20000000000000000000000000000000000000000000000000
χ848-88-4-4-40-8444000000000000000-4-4-4222222444-2-2-2-2-2-20000000000000000000000000000000000000000000000000
χ858-8-48-4-404-84400000000000000022-422-422-4-2-24-2-24-2-240000000000000000000000000000000000000000000000000
χ868-8-48-4-404-8440000000000000002-422-422-42-24-2-24-2-24-20000000000000000000000000000000000000000000000000
χ878-8-48-4-404-844000000000000000-422-422-4224-2-24-2-24-2-20000000000000000000000000000000000000000000000000
χ888-8-4-48-4044-8400000000000000022-4-4222-42-2-244-2-2-24-20000000000000000000000000000000000000000000000000
χ898-8-4-48-4044-840000000000000002-4222-4-422-24-2-2-244-2-20000000000000000000000000000000000000000000000000
χ908-8-4-48-4044-84000000000000000-4222-4222-44-2-2-24-2-2-240000000000000000000000000000000000000000000000000
χ918-8-4-4-480444-800000000000000022-42-42-422-2-24-24-24-2-20000000000000000000000000000000000000000000000000
χ928-8-4-4-480444-80000000000000002-42-42222-4-24-24-2-2-2-240000000000000000000000000000000000000000000000000
χ938-8-4-4-480444-8000000000000000-42222-42-424-2-2-2-24-24-20000000000000000000000000000000000000000000000000

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