Finite Group Databasebeta

← Group #13172311

Character table — Group #13172311

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size111122222222222244444444444444444444488888888888881212121212121212121212121212121212121212121212121212242424242424242424242424242436363636363636367272727272108108
order122233366666666623336666666666666666636666666666662444441212121212121212121212121212121212121212666612121212121212121212222444666612121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1111111-1-11111111111111111-1-11-111-1-1-1-11-1-11-1-1-1-1-111-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-11-1-1-1111-1-1-11-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-111-1-1-1-1-1-11-11-1-1-11-1-1-1111
χ511111111111111111111111111111111111111111111111111-1-11111-1-1111111111111111111-1-1-1-111-11-1-11111-1-11-11-1-1-11-1-1-11-1-1
χ611111111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111-1-1-11-111
χ711111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-111111-1-11-1-1-1-1-111-1-111
χ811111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1
χ91111111111111111-1111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1111-1-1-1-11-11-11-1-1-111-1-11111-1-11111-1-1-1-111111-1-1-1-1-111-1-11-11-1-11-1-111-11-11-1
χ101111111111111111-1111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1111-1-1-1-11-11-1-11-1-111-1-1-1-111-1-11111-1-1-1-11111-11-11-1-1-1-11111-1-11-111-11-1-11-11
χ111111111111111111-1111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1111-1-1-1-11-1-111-1-1-1-1-11111-1-111-1-1-1-1111111111-1-1-1-1-111-1-1-1-1-1111-1-1-1-1111-11
χ121111111111111111-1111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1111-1-1-1-11-1-11-11-1-1-1-111-1-1-1-111-1-1-1-111111111-11-11-1-1-1-111-1111-1-1111-11-1-11-1
χ131111111111111111-1111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1111-1-1-1-1-111-11-11111-1-11111-1-11111-1-1-1-1-1-1-1-11-11-11111-1-1-1111-1-1111-11-1-1-11
χ141111111111111111-1111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1111-1-1-1-1-111-1-111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-111111-1-111-1-1-1111-1-1-1-11111-1
χ151111111111111111-1111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1111-1-1-1-1-11-111-111-1-11111-1-111-1-1-1-11111-1-1-1-11-11-11111-1-111-1-11-111-11-1-111-1
χ161111111111111111-1111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1111-1-1-1-1-11-11-1111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-111111-1-1111-11-1-11-1-111-11-1-11
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χ18222222-12-1222-12-1222-1-1222222-12222-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1-12200-2-2-1-10000110000000000002-1-1-1-2-221-1-111110-2000-2110001000
χ19222222-12-1222-12-1222-1-1222222-12222-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20022110000-1-1000000000000-211122-2-111-1-1-1-10-2000-2110001000
χ20222222-12-1222-12-1222-1-1222222-12222-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-211000011000000000000-2111-2-2-21111111020002-1-1000-1000
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χ2522222-12-1222-12-1222-12-122-1-1-1-12-1-1-1-1-1-122-1-1-1222-1-1-1-1-1-1-1-1-122220022-1-1-1-1002222-1-1-1-1-1-1-1-1-12-1-100-10-1-10000200200000-1-10000
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χ3222222-12-1222-12-122-2-12-1-2-211-1-121111-1-122-1-1-1-2-2-211-1-1-11111-22-22002211-1-100-2-2221111-1-1-1-11-21100-10-1-10000200-200000-110000
χ332222-12222-1-12222-12-1-12-1-122-1-1-1-1-1-1-122-1-12-1-12-1-122-1-1-1-1-1-1-100222200222222-1-1-1-1-1-1-1-1-1-1-1-10000-1-10200-1-1-1-100202000-1000-100
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χ352222-12222-1-12222-12-1-12-1-122-1-1-1-1-1-1-122-1-12-1-12-1-122-1-1-1-1-1-1-100-2-22200-2-2-2-2221111111111110000-1-10200-1-1-1-100-20-20001000100
χ362222-12222-1-12222-12-1-12-1-122-1-1-1-1-1-1-122-1-12-1-12-1-122-1-1-1-1-1-1-100-2-2-2-200-2-2-2-2-2-21111111111110000110-200111100202000-1000-100
χ372222-12222-1-12222-1-2-1-1211-2-2-1-1-1111122-1-12-1-1-211-2-2-1-1-11111002-22-20022-2-222-1-111-1-1-1-111110000-110-200-1-1110020-2000-1000100
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χ948888-4-4-4-4-4-4-4-4-4-4-4-48222-4-4-4-42222222222222-1-42222-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000000
χ958888-4-4-4-4-4-4-4-4-4-4-4-4-82224444222-2-2-2-2222222-14-2-2-2-2-1-1-111110000000000000000000000000000000000000000000000000000000
χ9688-8-88-4-44-4-8-8-444480-4-42000044-400002-244-2-42000002-2-200000000000000000000000000000000000000000000000000000000000
χ9788-8-8-4-4-44-444-4444-40222−4i34i300-2-222i32i3−2i3−2i32-2-2-2-22-102i3−2i300-111−i3−i3i3i30000000000000000000000000000000000000000000000000000000
χ9888-8-8-4-4-44-444-4444-402224i3−4i300-2-22−2i3−2i32i32i32-2-2-2-22-10−2i32i300-111i3i3−i3−i30000000000000000000000000000000000000000000000000000000
χ998-88-8-48-4-84-44-8-48440-42-40000-44-20000442-2-44200000-22-200000000000000000000000000000000000000000000000000000000000
χ1008-88-8-4-4-444-444-4-444022200−4i34i32-2-22i3−2i32i3−2i3-2-22-22-2-10002i3−2i31-11−i3i3−i3i30000000000000000000000000000000000000000000000000000000
χ1018-88-8-4-4-444-444-4-4440222004i3−4i32-2-2−2i32i3−2i32i3-2-22-22-2-1000−2i32i31-11i3−i3i3−i30000000000000000000000000000000000000000000000000000000
χ1028-8-888-4-4-44-88444-4-80-4-4200004-440000-224-4-24200000-2-2200000000000000000000000000000000000000000000000000000000000
χ1038-8-88-48-4844-4-84-8-440-42-400004-4-200004-4-2244200000-2-2200000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-4-444-4444-4402220000-22-26-6-66-22-22-2-2-10000011-1-333-30000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-4-444-4444-4402220000-22-2-666-6-22-22-2-2-10000011-13-3-330000000000000000000000000000000000000000000000000000000

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