Finite Group Databasebeta

← Group #13159432

Character table — Group #13159432

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129
size11112222222222222222222222444444444444444444444444446688888888888888888888888888888888888121212121212121212121212121212121224242424242424242436363636363636367272108108108108
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χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ51111111111111111111111111111111111111111111111111111-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ61111111111111111111111111111111111111111111111111111-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-111-1-111
χ81111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111111-1-111-1-1
χ9222222222-2-22222222222222222222222222222222-2-2-2-2-2-2-2-2-2-22200000000000-2-2-2-2-2-2-2-20000000000000000-222222222-2-2-2-2-2-2-2-200000000000000000000000
χ10222222222-2-22222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000000-2-2-2-2-2-2-2-200000000000000002-2-2-2-2-2-2-2-22222222200000000000000000000000
χ11222222-1-1-12222-1-1-122-1-1-12-1-1-122-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1-1-1-1222222222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-100000000000000
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χ2622222-12-1-1-2-22-12-1-12-12-1-1-12-1-12-12-1-1-12-1-1-12-1-1-12-1-111-2-21111-2-2-2-2000i3−i30i3−i30i3−i311-2-21111i3i3−i3−i300i3i3−i3−i300i3i3−i3−i3211-2-21111-1-122-1-1-1-10−i3i30−i3i30−i3i300000000000000
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χ3022222-1-12-1222-1-12-12-1-12-1-1-12-12-1-12-1-1-12-1-1-12-1-1-12-1-1-1-1-122-1-122-2-2-2-2-2111-2111-2-1-1-1-122-1-1111111-2-2111111-2-2-21111-2-2111111-2-2112-1-1-12-1-1-1200000000000000
χ3122222-1-12-1-2-22-1-12-12-1-12-1-1-12-12-1-12-1-1-12-1-1-12-1-1-12-11111-2-211-2-222000−i3i3i30−i3−i3i301111-2-211−i3−i3i3i3i3i300−i3−i3−i3−i3i3i300-2-1-1-1-122-1-11111-2-2110−i3i3i30−i3−i3i3000000000000000
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χ4222222-1-1-12-2-22-1-1-122-1-1-12-1-1-122-1-1-12-1-1-12-1-1-12-1-1-12111111-2-2-2-2-2-2000i3−i3i3−i30−i30i3111111-2-2i3i3−i3−i3i3i3−i3−i300−i3−i300i3i32111111-2-2-1-1-1-1-1-1220−i3i3−i3i30i30−i300000000000000
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χ594444-24444-4-4-24444-244444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-4-4-4-4-4-4-4-42200000000000002222222200000000000000000000000000000000000000000000000000000000
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χ614444-24-2-2-244-24-2-2-2-24-2-2-24-2-2-2-2-2111-2111-2111-211144-2-2-2-2-2-2-2-200-422-4-4222222-2-21111112222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000000000000000
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χ1298-88-8-4-4-4-48004444-8-4-4-4-48444-84222-4-2-2-24-2-2-24222-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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