Finite Group Databasebeta

← Group #13161379

Character table — Group #13161379

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11222222222222244444444444444444444444444444444488888888888888888888888888888888882424242424242424242424242424242424245454727272727272108108108
order122333334466666233334666666666121212121212121212121212121212121212666666666666666661212121212121212121212121212121212266666666824242424242424248826682424888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1
χ5111111111111111-11111-1111111111111111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-111111-1-1-11-1-1
χ6111111111111111-11111-1111111111111111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111
χ7111111111111111-11111-1111111111111111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-11111-1-1
χ8111111111111111-11111-1111111111111111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-111
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χ132222222-1222222-1-2-1-1-1-1-22222-1-1-1-1-12222-1-1-1-1-1-1-1-1-12222-1-2-2-2-21-1-1-1-111111111-2-2-2-21-1-1-1-111111111000000000000000000002-1-1-211000
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χ7744-44-2-2-24-444-2-2-2404-2-2-20-4222-44-2-2-24-2-2-2444-2-2-2-2-2-2-4222-400000-42220000000000000-42220000000000000000000000000000000000000
χ7844-44-2-2-2-24-44-2-2-2-24-2111-4-42222-2111-4222222-1-1-1-1-1-14-2-2-2-24-2-2-2-22-1-1-1-2-2111111-42222-211122-1-1-1-1-1-100000000000000000000000000000
χ7944-44-2-2-2-24-44-2-2-2-2-4-21114-42222-2111-4222222-1-1-1-1-1-14-2-2-2-2-422222-1-1-122-1-1-1-1-1-14-2-2-2-2-2111-2-211111100000000000000000000000000000
χ8044-44-2-2-2-2-444-2-2-2-20-21110-42222-21114-2-2-2-2-2-2111111-42222000002-1-1-1003-33-33-3000002-1-1-100-33-33-3300000000000000000000000000000
χ8144-44-2-2-2-2-444-2-2-2-20-21110-42222-21114-2-2-2-2-2-2111111-42222000002-1-1-100-33-33-33000002-1-1-1003-33-33-300000000000000000000000000000
χ8244-4-24-2-24-44-24-2-240-24-2-202-422-4-24-2-2-24-2-24-2-244-2-2-2-22-422-4000002-42200000000000002-4220000000000000000000000000000000000000
χ8344-4-24-2-2-24-4-24-2-2-241-211-42-42221-2112-4222-1-122-1-1-1-1-24-2-2-2-24-2-2-2-12-1-111-2-211112-42221-211-1-122-1-1-1-100000000000000000000000000000
χ8444-4-24-2-2-24-4-24-2-2-2-41-21142-42221-2112-4222-1-122-1-1-1-1-24-2-2-22-4222-12-1-1-1-122-1-1-1-1-24-2-2-21-21111-2-2111100000000000000000000000000000
χ8544-4-24-2-2-2-44-24-2-2-201-21102-42221-211-24-2-2-211-2-211112-422200000-12-1-13-3003-3-3300000-12-1-1-3300-333-300000000000000000000000000000
χ8644-4-24-2-2-2-44-24-2-2-201-21102-42221-211-24-2-2-211-2-211112-422200000-12-1-1-3300-333-300000-12-1-13-3003-3-3300000000000000000000000000000
χ8744-4-2-24-24-44-2-24-240-2-24-2022-42-4-2-24-2-2-24-24-2-2-2-244-2-222-42-40000022-42000000000000022-420000000000000000000000000000000000000
χ8844-4-2-24-2-24-4-2-24-2-2411-21-422-42211-2122-422-1-1-1-122-1-1-2-24-2-2-2-24-2-2-1-12-11111-2-21122-42211-21-1-1-1-122-1-100000000000000000000000000000
χ8944-4-2-24-2-24-4-2-24-2-2-411-21422-42211-2122-422-1-1-1-122-1-1-2-24-2-222-422-1-12-1-1-1-1-122-1-1-2-24-2-211-211111-2-21100000000000000000000000000000
χ9044-4-2-24-2-2-44-2-24-2-2011-21022-42211-21-2-24-2-21111-2-21122-42200000-1-12-13-3-33003-300000-1-12-1-333-300-3300000000000000000000000000000
χ9144-4-2-24-2-2-44-2-24-2-2011-21022-42211-21-2-24-2-21111-2-21122-42200000-1-12-1-333-300-3300000-1-12-13-3-33003-300000000000000000000000000000
χ9244-4-2-2-244-44-2-2-2440-2-2-240222-4-4-2-2-24-2-2-244-2-2-2-2-2-244222-4-400000222-40000000000000222-40000000000000000000000000000000000000
χ9344-4-2-2-24-24-4-2-2-24-24111-2-4222-42111-2222-42-1-1-1-1-1-122-2-2-24-2-2-2-24-2-1-1-12111111-2-2222-42111-2-1-1-1-1-1-12200000000000000000000000000000
χ9444-4-2-2-24-24-4-2-2-24-2-4111-24222-42111-2222-42-1-1-1-1-1-122-2-2-24-2222-42-1-1-12-1-1-1-1-1-122-2-2-24-2111-2111111-2-200000000000000000000000000000
χ9544-4-2-2-24-2-44-2-2-24-20111-20222-42111-2-2-2-24-2111111-2-2222-4200000-1-1-123-33-3-330000000-1-1-12-33-333-30000000000000000000000000000000
χ9644-4-2-2-24-2-44-2-2-24-20111-20222-42111-2-2-2-24-2111111-2-2222-4200000-1-1-12-33-333-30000000-1-1-123-33-3-330000000000000000000000000000000
χ974-404444400-4-4-4-4-404444000000-4-4-4-4000000000000000000000000000000000000000000000000000000000000000000000022−22000000000
χ984-404444400-4-4-4-4-404444000000-4-4-4-40000000000000000000000000000000000000000000000000000000000000000000000−2222000000000
χ998-808888-400-8-8-8-840-4-4-4-40000004444000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1008-808-4-4-4800-8444-808-4-4-4000000-8444000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-808-4-4-4-400-844440-42220000004-2-2-200000006i−6i6i−6i6i−6i00000000000000000000000000000000000000000000000000000000000000000000
χ1028-808-4-4-4-400-844440-42220000004-2-2-20000000−6i6i−6i6i−6i6i00000000000000000000000000000000000000000000000000000000000000000000
χ1038-80-48-4-48004-844-80-48-4-40000004-844000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-80-48-4-4-4004-844402-422000000-24-2-2000006i−6i006i−6i−6i6i00000000000000000000000000000000000000000000000000000000000000000000
χ1058-80-48-4-4-4004-844402-422000000-24-2-200000−6i6i00−6i6i6i−6i00000000000000000000000000000000000000000000000000000000000000000000
χ1068-80-4-48-480044-84-80-4-48-400000044-84000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-80-4-48-4-40044-844022-42000000-2-24-2000006i−6i−6i6i006i−6i00000000000000000000000000000000000000000000000000000000000000000000
χ1088-80-4-48-4-40044-844022-42000000-2-24-200000−6i6i6i−6i00−6i6i00000000000000000000000000000000000000000000000000000000000000000000
χ1098-80-4-4-48800444-8-80-4-4-48000000444-8000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-80-4-4-48-400444-840222-4000000-2-2-24000006i−6i6i−6i−6i6i0000000000000000000000000000000000000000000000000000000000000000000000
χ1118-80-4-4-48-400444-840222-4000000-2-2-2400000−6i6i−6i6i6i−6i0000000000000000000000000000000000000000000000000000000000000000000000

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