Finite Group Databasebeta

← Group #13172333

Character table — Group #13172333

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size111122222222222244444444444444444444488888888888881212121212121212121212121212121212121212121212121212242424242424242424242424242436363636363636367272727272108108
order1222333666666666233366666666666666666366666666666622444412121212121212121212121212121212121212126666666612121212121222444412126612121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-11-111-11-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111-1111-111-1-111111111111111111-11-111-1-11-111-1-1-1-11-1-11-1-1-1-111-1-1-1
χ4111111111111111111111111111111111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-11-111-1-1-11-11-1-1-1-11-1-1-1111
χ511111111111111111111111111111111111111111111111111-11-1111-1-1111111111111111111-11-11-1-111-11-1-111-11-11-1-1-1-11-1-1-11-1-1
χ611111111111111111111111111111111111111111111111111-11-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-11-1-111-1-11-1-11-1-1-1-111-111
χ711111111111111111111111111111111111111111111111111-1-1-111-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11-111-11-1-1-111
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
χ91111111111111111-1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1111-1-1-1-111-11-1-1-1-1-1-111-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-111-11-1111-11-1-11-1
χ101111111111111111-1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1111-1-1-1-111-1-11-1-1-1-1-1-1-111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-111111-1-1-111-11
χ111111111111111111-1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1111-1-1-1-11-1-11-11-1-11111-1-111-1-11111-1-1-1-11-11-111-1-1-11-1-1111-111-1-1-1-1-111-11-11
χ121111111111111111-1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1111-1-1-1-11-1-1-111-1-111-1-111-1-111-1-1-1-111111-11-111-1-1-11-1-11111-1-1-11-1-111-11-11-1
χ131111111111111111-1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1111-1-1-1-1-1111-1-111-1-111-1-111-1-11111-1-1-1-1-11-11-1-1111-111-1-111-1-1-11-1-111-11-1-11
χ141111111111111111-1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1111-1-1-1-1-111-11-111-1-1-1-111-1-111-1-1-1-11111-11-11-1-1111-111-1-11-111-1-1-1-1-111-111-1
χ151111111111111111-1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1111-1-1-1-1-1-111-11111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111111-1-1-1111-1
χ161111111111111111-1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1111-1-1-1-1-1-11-1111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-111-11-1111-11-1-1-11
χ17222222-12-1-12222-1222-1-12222222222-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1222002-1-1-1-1000000000000000022-1-1-1-1-1-122-1-1-1-1200020-1-10-100000
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χ20222222-12-1-12222-1222-1-12222222222-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-200-211110000000000000000-2-2111111-2-21111200020-1-10-100000
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χ352222-1222222-1-1-1222-1-12-1-122-1-1-1-1-1-1-1-122-12-1-12-1-122-1-1-1-1-1-1-1-20-2220-2-2002222-1-1-1-1-1-1-1-1-1-1-1-110-20110010110000-200-2000011000
χ362222-1222222-1-1-1222-1-12-1-122-1-1-1-1-1-1-1-122-12-1-12-1-122-1-1-1-1-1-1-1-20-2-2-20-2-200-2-2-2-211111111111110-2011001011000020020000-1-1000
χ372222-1222222-1-1-122-2-1-1211-2-2-1-11111-1-122-12-1-1-211-2-2-1-1-1111120-22-20-2-20022-2-2-1-111-1-1-1-11111-1020-1-10010110000200-20000-11000
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χ4144444-2-2-2-2-2-2444-2-24-2-2144-2-2-2-2-2-2-2-2-2-211-21-21-2-2-211111111104000400-2-200000000000000000-20-200110-20011000000000000000
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χ934-4-44-2-24-2-4-4222-24201-2-20000-11-333-32-22-222-1100000-1-11-333-3000000000000−2323−2323003−3−333−3−3300000000000000000000000000000
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
χ9688-8-88-4-44-44-48-8-8440-4-420000440000442-2-4-2-42000002-2-200000000000000000000000000000000000000000000000000000000000
χ9788-8-8-4-4-44-44-4-444440222−4i34i300-2-22i32i3−2i3−2i3-2-22-22-22-102i3−2i300-111−i3−i3i3i30000000000000000000000000000000000000000000000000000000
χ9888-8-8-4-4-44-44-4-4444402224i3−4i300-2-2−2i3−2i32i32i3-2-22-22-22-10−2i32i300-111i3i3−i3−i30000000000000000000000000000000000000000000000000000000
χ998-88-8-48-4-84-4-84-44480-42-40000-4400002-244-2-44200000-22-200000000000000000000000000000000000000000000000000000000000
χ1008-88-8-4-4-444-444-444-4022200−4i34i32-22i3−2i32i3−2i32-2-2-2-22-2-10002i3−2i31-11−i3i3−i3i30000000000000000000000000000000000000000000000000000000
χ1018-88-8-4-4-444-444-444-40222004i3−4i32-2−2i32i3−2i32i32-2-2-2-22-2-1000−2i32i31-11i3−i3i3−i30000000000000000000000000000000000000000000000000000000
χ1028-8-888-4-4-4444-8-88-440-4-4200004-400004-4-224-24200000-2-2200000000000000000000000000000000000000000000000000000000000
χ1038-8-88-48-4844-844-4-4-80-42-400004-40000-224-4-244200000-2-2200000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-4-444444-4-4402220000-226-6-66-22-22-2-2-2-10000011-1-333-30000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-4-444444-4-4402220000-22-666-6-22-22-2-2-2-10000011-13-3-330000000000000000000000000000000000000000000000000000000

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