Finite Group Databasebeta

← Group #10964708

Character table — Group #10964708

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111222222224444444444444444448888222222224444444488888888888888888816161616333333336666666612121212121212121212121212121212121224242424
order1222222244444444224444444444444444444436666666121212121212121266121212121212121212121212121212121212121222222222444444442244444444444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ6111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ7111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ8111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ911111111-1-1-1-11111-1-111-1-111-1-111-1-111-1-11-11-111111111-1-1-1-11111-1-111-1-111-1-111-1-111-1-11-11-111111111-1-1-1-11111-1-111-1-111-1-111-1-111-1-11-11-1
χ1011111111-1-1-1-11111-1-111-1-111-1-1-1-111-1-111-11-1111111111-1-1-1-11111-1-111-1-111-1-1-1-111-1-111-11-1111111111-1-1-1-11111-1-111-1-111-1-1-1-111-1-111-11-11
χ1111111111-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1-11-1111111111-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1-11-1111111111-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1-11-11
χ1211111111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1111-11-111111111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1111-11-111111111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1111-11-1
χ1311111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-11
χ1411111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-111-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-111-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-111-1
χ1511111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-111-111111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-111-111111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-111-1
χ1611111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-11-1-1111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-11-1-1111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-11-1-11
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χ272-22-22-2-22-22-220000000000000000002i−2i−2i2i00002-22-22-2-22-22-220000000000000000002i−2i−2i2i00002-22-22-2-22-22-220000000000000000002i−2i−2i2i0000
χ282-22-22-2-22-22-22000000000000000000−2i2i2i−2i00002-22-22-2-22-22-22000000000000000000−2i2i2i−2i00002-22-22-2-22-22-22000000000000000000−2i2i2i−2i0000
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χ302-2-222-22-200002i−2i2i−2i00−2i2i00-22000000000000002-2-222-22-200002i−2i2i−2i00−2i2i00-22000000000000002-2-222-22-200002i−2i2i−2i00−2i2i00-2200000000000000
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χ332-2-2-2-22222-2-222-2-222-2000000000000000000002-2-2-2-22222-2-222-2-222-2000000000000000000002-2-2-2-22222-2-222-2-222-200000000000000000000
χ342-2-2-2-22222-2-22-222-2-22000000000000000000002-2-2-2-22222-2-22-222-2-22000000000000000000002-2-2-2-22222-2-22-222-2-2200000000000000000000
χ352-2-2-2-2222-222-22-2-22-22000000000000000000002-2-2-2-2222-222-22-2-22-22000000000000000000002-2-2-2-2222-222-22-2-22-2200000000000000000000
χ362-2-2-2-2222-222-2-222-22-2000000000000000000002-2-2-2-2222-222-2-222-22-2000000000000000000002-2-2-2-2222-222-2-222-22-200000000000000000000
χ3744-4-444-4-400000000000000000000000000000044-4-444-4-400000000000000000000000000000044-4-444-4-4000000000000000000000000000000
χ384-444-44-4-40000000000000000000000000000004-444-44-4-40000000000000000000000000000004-444-44-4-4000000000000000000000000000000
χ391111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4011111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ41111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ42111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ43111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-111
χ44111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-111-1-1
χ45111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1
χ46111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-111
χ4711111111-1-1-1-11111-1-111-1-111-1-111-1-111-1-11-11-111111111-1-1-1-11111-1-111-1-111-1-111-1-111-1-11-11-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-11-11
χ4811111111-1-1-1-11111-1-111-1-111-1-1-1-111-1-111-11-1111111111-1-1-1-11111-1-111-1-111-1-1-1-111-1-111-11-11-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-111-1-11-11-1
χ4911111111-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1-11-1111111111-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1-11-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-1111-11-1
χ5011111111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1111-11-111111111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1111-11-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111-1-1-11-11
χ5111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-11-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-111-1
χ5211111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-111-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1111-1-11
χ5311111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-111-111111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-111-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-11111-1-11-1-11
χ5411111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-11-1-1111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-11-1-11-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-111-111-1
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χ7822222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111100000000000000000000000000000000000000
χ79222222222222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111100000000000000000000000000000000000000
χ80222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-100000000000000000000000000000000000000
χ81222222222222-2-2-2-2-2-22222-2-2-2-22222-2-2-2-222-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-11100000000000000000000000000000000000000
χ82222222222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222-2-222-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-111-1-100000000000000000000000000000000000000
χ83222222222222-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-100000000000000000000000000000000000000
χ84222222222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2222222-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-11100000000000000000000000000000000000000
χ8522222222-2-2-2-22222-2-222-2-222-2-222-2-222-2-22-22-2-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-11-1100000000000000000000000000000000000000
χ8622222222-2-2-2-22222-2-222-2-222-2-2-2-222-2-222-22-22-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-111-1-11-11-100000000000000000000000000000000000000
χ8722222222-2-2-2-22222-2-2-2-222-2-22222-2-222-2-2-22-22-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-1111-11-100000000000000000000000000000000000000
χ8822222222-2-2-2-22222-2-2-2-222-2-222-2-222-2-2222-22-2-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111-1-1-11-1100000000000000000000000000000000000000
χ8922222222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2222-2-22-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-111-100000000000000000000000000000000000000
χ9022222222-2-2-2-2-2-2-2-22222-2-2-2-222-2-22222-2-2-222-2-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1111-1-1100000000000000000000000000000000000000
χ9122222222-2-2-2-2-2-2-2-222-2-22222-2-222-2-2-2-222-222-2-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-11111-1-11-1-1100000000000000000000000000000000000000
χ9222222222-2-2-2-2-2-2-2-222-2-22222-2-2-2-22222-2-22-2-22-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-111-111-100000000000000000000000000000000000000
χ93444-4-4-44-400004i4i−4i−4i00004i−4i004-4000000000000-2-2-2222-220000−2i−2i2i2i0000−2i2i00-2200000000000000000000000000000000000000000000000000
χ94444-4-4-44-400004i4i−4i−4i0000−4i4i00-44000000000000-2-2-2222-220000−2i−2i2i2i00002i−2i002-200000000000000000000000000000000000000000000000000
χ95444-4-4-44-40000−4i−4i4i4i00004i−4i00-44000000000000-2-2-2222-2200002i2i−2i−2i0000−2i2i002-200000000000000000000000000000000000000000000000000
χ96444-4-4-44-40000−4i−4i4i4i0000−4i4i004-4000000000000-2-2-2222-2200002i2i−2i−2i00002i−2i00-2200000000000000000000000000000000000000000000000000
χ9744-44-4-4-4444-4-4000000000000004i−4i4i−4i00000000-2-22-2222-2-2-22200000000000000−2i2i−2i2i0000000000000000000000000000000000000000000000
χ9844-44-4-4-4444-4-400000000000000−4i4i−4i4i00000000-2-22-2222-2-2-222000000000000002i−2i2i−2i0000000000000000000000000000000000000000000000
χ9944-44-4-4-44-4-444000000000000004i−4i−4i4i00000000-2-22-2222-222-2-200000000000000−2i2i2i−2i0000000000000000000000000000000000000000000000
χ10044-44-4-4-44-4-44400000000000000−4i4i4i−4i00000000-2-22-2222-222-2-2000000000000002i−2i−2i2i0000000000000000000000000000000000000000000000
χ1014-44-44-4-444-44-40000000000000000004i−4i4i−4i0000-22-22-222-2-22-22000000000000000000−2i2i−2i2i000000000000000000000000000000000000000000
χ1024-44-44-4-444-44-4000000000000000000−4i4i−4i4i0000-22-22-222-2-22-220000000000000000002i−2i2i−2i000000000000000000000000000000000000000000
χ1034-44-44-4-44-44-440000000000000000004i−4i−4i4i0000-22-22-222-22-22-2000000000000000000−2i2i2i−2i000000000000000000000000000000000000000000
χ1044-44-44-4-44-44-44000000000000000000−4i4i4i−4i0000-22-22-222-22-22-20000000000000000002i−2i−2i2i000000000000000000000000000000000000000000
χ1054-4-444-44-400004i−4i4i−4i004i−4i004-400000000000000-222-2-22-220000−2i2i−2i2i00−2i2i00-220000000000000000000000000000000000000000000000000000
χ1064-4-444-44-400004i−4i4i−4i00−4i4i00-4400000000000000-222-2-22-220000−2i2i−2i2i002i−2i002-20000000000000000000000000000000000000000000000000000
χ1074-4-444-44-40000−4i4i−4i4i004i−4i00-4400000000000000-222-2-22-2200002i−2i2i−2i00−2i2i002-20000000000000000000000000000000000000000000000000000
χ1084-4-444-44-40000−4i4i−4i4i00−4i4i004-400000000000000-222-2-22-2200002i−2i2i−2i002i−2i00-220000000000000000000000000000000000000000000000000000
χ1094-4-4-4-44444-4-444-4-444-400000000000000000000-22222-2-2-2-222-2-222-2-220000000000000000000000000000000000000000000000000000000000
χ1104-4-4-4-44444-4-44-444-4-4400000000000000000000-22222-2-2-2-222-22-2-222-20000000000000000000000000000000000000000000000000000000000
χ1114-4-4-4-4444-444-44-4-44-4400000000000000000000-22222-2-2-22-2-22-222-22-20000000000000000000000000000000000000000000000000000000000
χ1124-4-4-4-4444-444-4-444-44-400000000000000000000-22222-2-2-22-2-222-2-22-220000000000000000000000000000000000000000000000000000000000
χ11388-8-888-8-8000000000000000000000000000000-4-444-4-44400000000000000000000000000000000000000000000000000000000000000000000
χ1148-888-88-8-8000000000000000000000000000000-44-4-44-44400000000000000000000000000000000000000000000000000000000000000000000

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