Finite Group Databasebeta

← Group #13172299

Character table — Group #13172299

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size111122222222222244444444444444444444488888888888881212121212121212121212121212121212121212121212121212242424242424242424242424242436363636363636367272727272108108
order122233366666666623336666666666666666636666666666662244446666121212121212121212121212121212126666661212121212121212222444666612121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-11-1-111-1-11-1-1-1-1
χ3111111111111111111111111111111111111111111111111111-1111-111-1-111111111111111111-111-1-11-11-111-1-1-11-1-11-1-1-11-1-11-1-1-1
χ4111111111111111111111111111111111111111111111111111-1-1-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11-11-111-1-1-1-11-1-11-1-1-11-1-1111
χ511111111111111111111111111111111111111111111111111-1111-11-1-1111111111111111111-11-1-111-11-11-1-111-1-11-1-11-1-1-11-1-11-1-1
χ611111111111111111111111111111111111111111111111111-11-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-11-11-1-111-11-1-11-1-1-11-1-11-111
χ711111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-111-1-11-1-111
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
χ91111111111111111-1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1111-1-1-1-1111-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-11111-1-1-111-1
χ101111111111111111-1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1111-1-1-1-111-11-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11-11-11-111-11-11-1-11
χ111111111111111111-1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1111-1-1-1-11-11-1-1111-1-11111-1-1-1-11111-1-1-1-11-111-1-1-11-11-1-111-1111-1-1-1-1111-1-1-11
χ121111111111111111-1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1111-1-1-1-11-1-11-1111-1-1-1-1-1-11111-1-1-1-111111-111-1-1-11-11-1-111-1-1-1111-1-1-1-11111-1
χ131111111111111111-1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1111-1-1-1-1-111-11-1-1-1111111-1-1-1-11111-1-1-1-1-11-1-1111-11-111-1-1-1-1-1111-1-1-1-1111-11
χ141111111111111111-1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1111-1-1-1-1-11-111-1-1-111-1-1-1-11111-1-1-1-11111-11-1-1111-11-111-1-1-1111-1-1-1-1111-1-11-1
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χ332222-122-1222-122-122-1-12-1-122-1-1-1-1-1-1-1-122-12-1-12-1-122-1-1-1-1-1-1-12022202200-1-122-1-122-1-1-1-1-1-1-1-1-10-1-10020-10-1-10002002000-100-1000
χ342222-122-1222-122-122-1-12-1-122-1-1-1-1-1-1-1-122-12-1-12-1-122-1-1-1-1-1-1-120-2-220220011-2-211-2-211111111-10-1-10020-10-1-1000-200-20001001000
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χ924-4-44-2-242-2-4422-4-2201-2-22i3−2i300-11−i3i3i3−i3222-2-22-1102i3−2i300-1-11−i3i3i3−i300000000000023−230000−333−33i−3i−3i3i00000000000000000000000000000
χ934-4-44-2-242-2-4422-4-2201-2-22i3−2i300-11−i3i3i3−i3222-2-22-1102i3−2i300-1-11−i3i3i3−i3000000000000−232300003−3−33−3i3i3i−3i00000000000000000000000000000
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
χ958888-4-4-4-4-4-4-4-4-4-4-4-4-8222444422-2-2-2-22222222-14-2-2-2-2-1-1-111110000000000000000000000000000000000000000000000000000000
χ9688-8-88-4-4-84448-4-4-840-4-420000440000-442-24-2-42000002-2-200000000000000000000000000000000000000000000000000000000000
χ9788-8-8-48-44-844-48-44-80-42-400004400002-2-44-24-42000002-2-200000000000000000000000000000000000000000000000000000000000
χ9888-8-8-4-4-44444-4-4-44402220000-2-266-6-62-22-2-2-22-100000-111-3-3330000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-4-44444-4-4-44402220000-2-2-6-6662-22-2-2-22-100000-11133-3-30000000000000000000000000000000000000000000000000000000
χ1008-88-8-48-4-4-8-444-84480-42-40000-440000-2244-2-44200000-22-200000000000000000000000000000000000000000000000000000000000
χ1018-88-8-4-4-4-44-444444-4022200−4i34i32-22i3−2i32i3−2i3-22-2-2-22-2-10002i3−2i31-11−i3i3−i3i30000000000000000000000000000000000000000000000000000000
χ1028-88-8-4-4-4-44-444444-40222004i3−4i32-2−2i32i3−2i32i3-22-2-2-22-2-1000−2i32i31-11i3−i3i3−i30000000000000000000000000000000000000000000000000000000
χ1038-8-888-4-4-8-44-4-844840-4-4200004-4000044-22-4-24200000-2-2200000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-44-44-4444-440222−4i34i300-222i3−2i3−2i32i3-2-2-222-2-2-102i3−2i30011-1−i3i3i3−i30000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-44-44-4444-4402224i3−4i300-22−2i32i32i3−2i3-2-2-222-2-2-10−2i32i30011-1i3−i3−i3i30000000000000000000000000000000000000000000000000000000

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