Finite Group Databasebeta

← Group #13176713

Character table — Group #13176713

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1122222222244444444444444488888888181836363622444444444888888888888888161616161616161636367272723366666666612121212121212121212121212121224242424242424245454108108108
order12333346666228121212122424242424242424666666662424836333312666666241212121224242424242424246666666661261224226666466662281212121224242424242424246666666624248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1
χ3111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1
χ4111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111
χ511111111111-11-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-11-111111111111-11-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-11-111111111111-11-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-11-1
χ611111111111-11-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1111111111111-11-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1111111111111-11-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-11
χ711111111111-1-11111111111111-1-1-1-1-1-1-1-111-1-1111111111111-1-11111111111111-1-1-1-1-1-1-1-111-1-1111111111111-1-11111111111111-1-1-1-1-1-1-1-111-1-11
χ811111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-111-111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-111-111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-111-1
χ9222222-22222000-2-2-2-200000000000000002-2000222222-22222000-2-2-2-200000000000000002-2000222222-22222000-2-2-2-200000000000000002-2000
χ10222222-22222000-2-2-2-20000000000000000-22000222222-22222000-2-2-2-20000000000000000-22000222222-22222000-2-2-2-20000000000000000-22000
χ11222-1-1-122-1-1-12222-1-1-122-1-1-1-1-1-12-1-1-12-1-1-100000222-1-1-122-1-1-12222-1-1-122-1-1-1-1-1-12-1-1-12-1-1-100000222-1-1-122-1-1-12222-1-1-122-1-1-1-1-1-12-1-1-12-1-1-100000
χ12222-1-1-122-1-1-12-2-22-1-1-1-2-21111112-1-1-1-211100000222-1-1-122-1-1-12-2-22-1-1-1-2-21111112-1-1-1-211100000222-1-1-122-1-1-12-2-22-1-1-1-2-21111112-1-1-1-211100000
χ13222-1-1-122-1-1-1-22-22-1-1-1-2-2111111-21112-1-1-100000222-1-1-122-1-1-1-22-22-1-1-1-2-2111111-21112-1-1-100000222-1-1-122-1-1-1-22-22-1-1-1-2-2111111-21112-1-1-100000
χ14222-1-1-122-1-1-1-2-222-1-1-122-1-1-1-1-1-1-2111-211100000222-1-1-122-1-1-1-2-222-1-1-122-1-1-1-1-1-1-2111-211100000222-1-1-122-1-1-1-2-222-1-1-122-1-1-1-1-1-1-2111-211100000
χ1522-12-1-12-12-1-1222-12-1-1-1-122-1-1-1-1-12-1-1-12-1-10000022-12-1-12-12-1-1222-12-1-1-1-122-1-1-1-1-12-1-1-12-1-10000022-12-1-12-12-1-1222-12-1-1-1-122-1-1-1-1-12-1-1-12-1-100000
χ1622-12-1-12-12-1-12-2-2-12-1-111-2-21111-12-1-11-2110000022-12-1-12-12-1-12-2-2-12-1-111-2-21111-12-1-11-2110000022-12-1-12-12-1-12-2-2-12-1-111-2-21111-12-1-11-21100000
χ1722-12-1-12-12-1-1-22-2-12-1-111-2-211111-211-12-1-10000022-12-1-12-12-1-1-22-2-12-1-111-2-211111-211-12-1-10000022-12-1-12-12-1-1-22-2-12-1-111-2-211111-211-12-1-100000
χ1822-12-1-12-12-1-1-2-22-12-1-1-1-122-1-1-1-11-2111-2110000022-12-1-12-12-1-1-2-22-12-1-1-1-122-1-1-1-11-2111-2110000022-12-1-12-12-1-1-2-22-12-1-1-1-122-1-1-1-11-2111-21100000
χ1922-1-12-12-1-12-1222-1-12-1-1-1-1-122-1-1-1-12-1-1-12-10000022-1-12-12-1-12-1222-1-12-1-1-1-1-122-1-1-1-12-1-1-12-10000022-1-12-12-1-12-1222-1-12-1-1-1-1-122-1-1-1-12-1-1-12-100000
χ2022-1-12-12-1-12-12-2-2-1-12-11111-2-211-1-12-111-210000022-1-12-12-1-12-12-2-2-1-12-11111-2-211-1-12-111-210000022-1-12-12-1-12-12-2-2-1-12-11111-2-211-1-12-111-2100000
χ2122-1-12-12-1-12-1-22-2-1-12-11111-2-21111-21-1-12-10000022-1-12-12-1-12-1-22-2-1-12-11111-2-21111-21-1-12-10000022-1-12-12-1-12-1-22-2-1-12-11111-2-21111-21-1-12-100000
χ2222-1-12-12-1-12-1-2-22-1-12-1-1-1-1-122-1-111-2111-210000022-1-12-12-1-12-1-2-22-1-12-1-1-1-1-122-1-111-2111-210000022-1-12-12-1-12-1-2-22-1-12-1-1-1-1-122-1-111-2111-2100000
χ2322-1-1-122-1-1-12222-1-1-12-1-1-1-1-1-122-1-1-12-1-1-120000022-1-1-122-1-1-12222-1-1-12-1-1-1-1-1-122-1-1-12-1-1-120000022-1-1-122-1-1-12222-1-1-12-1-1-1-1-1-122-1-1-12-1-1-1200000
χ2422-1-1-122-1-1-122-2-2-1-1-12111111-2-2-1-1-12111-20000022-1-1-122-1-1-122-2-2-1-1-12111111-2-2-1-1-12111-20000022-1-1-122-1-1-122-2-2-1-1-12111111-2-2-1-1-12111-200000
χ2522-1-1-122-1-1-12-22-2-1-1-12111111-2-2111-2-1-1-120000022-1-1-122-1-1-12-22-2-1-1-12111111-2-2111-2-1-1-120000022-1-1-122-1-1-12-22-2-1-1-12111111-2-2111-2-1-1-1200000
χ2622-1-1-122-1-1-12-2-22-1-1-12-1-1-1-1-1-122111-2111-20000022-1-1-122-1-1-12-2-22-1-1-12-1-1-1-1-1-122111-2111-20000022-1-1-122-1-1-12-2-22-1-1-12-1-1-1-1-1-122111-2111-200000
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χ374-4-2-24-2022-420000000−i6i6i6−i600−i6i600000000000004-4-2-24-2022-420000000−i6i6i6−i600−i6i600000000000004-4-2-24-2022-420000000−i6i6i6−i600−i6i60000000000000
χ384-4-2-2-240222-40000000i6−i6i6−i6−i6i60000000000000004-4-2-2-240222-40000000i6−i6i6−i6−i6i60000000000000004-4-2-2-240222-40000000i6−i6i6−i6−i6i6000000000000000
χ394-4-2-2-240222-40000000−i6i6−i6i6i6−i60000000000000004-4-2-2-240222-40000000−i6i6−i6i6i6−i60000000000000004-4-2-2-240222-40000000−i6i6−i6i6i6−i6000000000000000
χ40111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ42111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-111
χ43111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111111-1-1
χ4411111111111-11-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-11-111111111111-11-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-11-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1111111111111-1-1-1-1-1-11-11
χ4511111111111-11-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1111111111111-11-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-11-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1111111111111-1-1-1-111-11-1
χ4611111111111-1-11111111111111-1-1-1-1-1-1-1-111-1-1111111111111-1-11111111111111-1-1-1-1-1-1-1-111-1-11-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1
χ4711111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-111-111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11
χ48222222-22222000-2-2-2-200000000000000002-2000222222-22222000-2-2-2-200000000000000002-2000-2-2-2-2-2-22-2-2-2-200022220000000000000000-22000
χ49222222-22222000-2-2-2-20000000000000000-22000222222-22222000-2-2-2-20000000000000000-22000-2-2-2-2-2-22-2-2-2-2000222200000000000000002-2000
χ50222-1-1-122-1-1-12222-1-1-122-1-1-1-1-1-12-1-1-12-1-1-100000222-1-1-122-1-1-12222-1-1-122-1-1-1-1-1-12-1-1-12-1-1-100000-2-2-2111-2-2111-2-2-2-2111-2-2111111-2111-211100000
χ51222-1-1-122-1-1-12-2-22-1-1-1-2-21111112-1-1-1-211100000222-1-1-122-1-1-12-2-22-1-1-1-2-21111112-1-1-1-211100000-2-2-2111-2-2111-222-211122-1-1-1-1-1-1-21112-1-1-100000
χ52222-1-1-122-1-1-1-22-22-1-1-1-2-2111111-21112-1-1-100000222-1-1-122-1-1-1-22-22-1-1-1-2-2111111-21112-1-1-100000-2-2-2111-2-21112-22-211122-1-1-1-1-1-12-1-1-1-211100000
χ53222-1-1-122-1-1-1-2-222-1-1-122-1-1-1-1-1-1-2111-211100000222-1-1-122-1-1-1-2-222-1-1-122-1-1-1-1-1-1-2111-211100000-2-2-2111-2-211122-2-2111-2-21111112-1-1-12-1-1-100000
χ5422-12-1-12-12-1-1222-12-1-1-1-122-1-1-1-1-12-1-1-12-1-10000022-12-1-12-12-1-1222-12-1-1-1-122-1-1-1-1-12-1-1-12-1-100000-2-21-211-21-211-2-2-21-21111-2-211111-2111-21100000
χ5522-12-1-12-12-1-12-2-2-12-1-111-2-21111-12-1-11-2110000022-12-1-12-12-1-12-2-2-12-1-111-2-21111-12-1-11-21100000-2-21-211-21-211-2221-211-1-122-1-1-1-11-211-12-1-100000
χ5622-12-1-12-12-1-1-22-2-12-1-111-2-211111-211-12-1-10000022-12-1-12-12-1-1-22-2-12-1-111-2-211111-211-12-1-100000-2-21-211-21-2112-221-211-1-122-1-1-1-1-12-1-11-21100000
χ5722-12-1-12-12-1-1-2-22-12-1-1-1-122-1-1-1-11-2111-2110000022-12-1-12-12-1-1-2-22-12-1-1-1-122-1-1-1-11-2111-21100000-2-21-211-21-21122-21-21111-2-21111-12-1-1-12-1-100000
χ5822-1-12-12-1-12-1222-1-12-1-1-1-1-122-1-1-1-12-1-1-12-10000022-1-12-12-1-12-1222-1-12-1-1-1-1-122-1-1-1-12-1-1-12-100000-2-211-21-211-21-2-2-211-211111-2-21111-2111-2100000
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χ764-4-2-24-2022-420000000−i6i6i6−i600−i6i600000000000004-4-2-24-2022-420000000−i6i6i6−i600−i6i60000000000000-4422-420-2-24-20000000i6−i6−i6i600i6−i60000000000000
χ774-4-2-2-240222-40000000i6−i6i6−i6−i6i60000000000000004-4-2-2-240222-40000000i6−i6i6−i6−i6i6000000000000000-44222-40-2-2-240000000−i6i6−i6i6i6−i6000000000000000
χ784-4-2-2-240222-40000000−i6i6−i6i6i6−i60000000000000004-4-2-2-240222-40000000−i6i6−i6i6i6−i6000000000000000-44222-40-2-2-240000000i6−i6i6−i6−i6i6000000000000000
χ79222222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000000
χ802222222222222222222222222222222222-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111000000000000000000000000000000000000000
χ81222222222222-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2222-2-2-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-111000000000000000000000000000000000000000
χ82222222222222-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111111-1-1000000000000000000000000000000000000000
χ8322222222222-22-22222-2-2-2-2-2-2-2-2-2-2-2-2222222-22-2-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1111111111111-1-1-1-1-1-11-11000000000000000000000000000000000000000
χ8422222222222-22-22222-2-2-2-2-2-2-2-2-2-2-2-22222-2-22-22-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1111111111111-1-1-1-111-11-1000000000000000000000000000000000000000
χ8522222222222-2-22222222222222-2-2-2-2-2-2-2-222-2-22-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1000000000000000000000000000000000000000
χ8622222222222-2-22222222222222-2-2-2-2-2-2-2-2-2-222-2-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11000000000000000000000000000000000000000
χ87444444-44444000-4-4-4-400000000000000004-4000-2-2-2-2-2-22-2-2-2-200022220000000000000000-22000000000000000000000000000000000000000000
χ88444444-44444000-4-4-4-40000000000000000-44000-2-2-2-2-2-22-2-2-2-2000222200000000000000002-2000000000000000000000000000000000000000000
χ89444-2-2-244-2-2-24444-2-2-244-2-2-2-2-2-24-2-2-24-2-2-200000-2-2-2111-2-2111-2-2-2-2111-2-2111111-2111-211100000000000000000000000000000000000000000000
χ90444-2-2-244-2-2-24-4-44-2-2-2-4-42222224-2-2-2-422200000-2-2-2111-2-2111-222-211122-1-1-1-1-1-1-21112-1-1-100000000000000000000000000000000000000000000
χ91444-2-2-244-2-2-2-44-44-2-2-2-4-4222222-42224-2-2-200000-2-2-2111-2-21112-22-211122-1-1-1-1-1-12-1-1-1-211100000000000000000000000000000000000000000000
χ92444-2-2-244-2-2-2-4-444-2-2-244-2-2-2-2-2-2-4222-422200000-2-2-2111-2-211122-2-2111-2-21111112-1-1-12-1-1-100000000000000000000000000000000000000000000
χ9344-24-2-24-24-2-2444-24-2-2-2-244-2-2-2-2-24-2-2-24-2-200000-2-21-211-21-211-2-2-21-21111-2-211111-2111-21100000000000000000000000000000000000000000000
χ9444-24-2-24-24-2-24-4-4-24-2-222-4-42222-24-2-22-42200000-2-21-211-21-211-2221-211-1-122-1-1-1-11-211-12-1-100000000000000000000000000000000000000000000
χ9544-24-2-24-24-2-2-44-4-24-2-222-4-422222-422-24-2-200000-2-21-211-21-2112-221-211-1-122-1-1-1-1-12-1-11-21100000000000000000000000000000000000000000000
χ9644-24-2-24-24-2-2-4-44-24-2-2-2-244-2-2-2-22-4222-42200000-2-21-211-21-21122-21-21111-2-21111-12-1-1-12-1-100000000000000000000000000000000000000000000
χ9744-2-24-24-2-24-2444-2-24-2-2-2-2-244-2-2-2-24-2-2-24-200000-2-211-21-211-21-2-2-211-211111-2-21111-2111-2100000000000000000000000000000000000000000000
χ9844-2-24-24-2-24-24-4-4-2-24-22222-4-422-2-24-222-4200000-2-211-21-211-21-22211-21-1-1-1-122-1-111-21-1-12-100000000000000000000000000000000000000000000
χ9944-2-24-24-2-24-2-44-4-2-24-22222-4-42222-42-2-24-200000-2-211-21-211-212-2211-21-1-1-1-122-1-1-1-12-111-2100000000000000000000000000000000000000000000
χ10044-2-24-24-2-24-2-4-44-2-24-2-2-2-2-244-2-222-4222-4200000-2-211-21-211-2122-211-211111-2-211-1-12-1-1-12-100000000000000000000000000000000000000000000
χ10144-2-2-244-2-2-24444-2-2-24-2-2-2-2-2-244-2-2-24-2-2-2400000-2-2111-2-2111-2-2-2-2111-2111111-2-2111-2111-200000000000000000000000000000000000000000000
χ10244-2-2-244-2-2-244-4-4-2-2-24222222-4-4-2-2-24222-400000-2-2111-2-2111-2-222111-2-1-1-1-1-1-122111-2-1-1-1200000000000000000000000000000000000000000000
χ10344-2-2-244-2-2-24-44-4-2-2-24222222-4-4222-4-2-2-2400000-2-2111-2-2111-22-22111-2-1-1-1-1-1-122-1-1-12111-200000000000000000000000000000000000000000000
χ10444-2-2-244-2-2-24-4-44-2-2-24-2-2-2-2-2-244222-4222-400000-2-2111-2-2111-222-2111-2111111-2-2-1-1-12-1-1-1200000000000000000000000000000000000000000000
χ105888-4-4-4-88-4-4-4000-8444000000000000000000000-4-4-42224-42220004-2-2-2000000000000000000000000000000000000000000000000000000000000
χ10688-48-4-4-8-48-4-40004-844000000000000000000000-4-42-42242-422000-24-2-2000000000000000000000000000000000000000000000000000000000000
χ10788-4-48-4-8-4-48-400044-84000000000000000000000-4-422-42422-42000-2-24-2000000000000000000000000000000000000000000000000000000000000
χ10888-4-4-48-8-4-4-48000444-8000000000000000000000-4-4222-44222-4000-2-2-24000000000000000000000000000000000000000000000000000000000000
χ1098-888880-8-8-8-80000000000000000000000000000-44-4-4-4-4044440000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-4-4-40-84440000000002i6−2i62i6−2i62i6−2i60000000000000-44-422204-2-2-2000000000−i6i6−i6i6−i6i60000000000000000000000000000000000000000000000000000
χ1118-88-4-4-40-8444000000000−2i62i6−2i62i6−2i62i60000000000000-44-422204-2-2-2000000000i6−i6i6−i6i6−i60000000000000000000000000000000000000000000000000000
χ1128-8-48-4-404-84400000002i6−2i6002i6−2i6−2i62i60000000000000-442-4220-24-2-20000000−i6i600−i6i6i6−i60000000000000000000000000000000000000000000000000000
χ1138-8-48-4-404-8440000000−2i62i600−2i62i62i6−2i60000000000000-442-4220-24-2-20000000i6−i600i6−i6−i6i60000000000000000000000000000000000000000000000000000
χ1148-8-4-48-4044-8400000002i6−2i6−2i62i6002i6−2i60000000000000-4422-420-2-24-20000000−i6i6i6−i600−i6i60000000000000000000000000000000000000000000000000000
χ1158-8-4-48-4044-840000000−2i62i62i6−2i600−2i62i60000000000000-4422-420-2-24-20000000i6−i6−i6i600i6−i60000000000000000000000000000000000000000000000000000
χ1168-8-4-4-480444-800000002i6−2i62i6−2i6−2i62i6000000000000000-44222-40-2-2-240000000−i6i6−i6i6i6−i6000000000000000000000000000000000000000000000000000000
χ1178-8-4-4-480444-80000000−2i62i6−2i62i62i6−2i6000000000000000-44222-40-2-2-240000000i6−i6i6−i6−i6i6000000000000000000000000000000000000000000000000000000

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