Finite Group Databasebeta

← Group #13172335

Character table — Group #13172335

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size111122222222222244444444444444444444488888888888881212121212121212121212121212121212121212121212121212242424242424242424242424242436363636363636367272727272108108
order1222333666666666233366666666666666666366666666666622244466666666666666666612126661212121212121212121212244444121261212121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1111111111111111111-1-11111-1-1-1111-1-1-1-1-1-11-1-11-1-1-111-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-111-1-1111111111111111111-1-1-1-1111-1-1-111111-1-11-1-1-1-11-1-11-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-111-1-1-1-1111
χ511111111111111111111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-11-1-11-111-1-1-1-11-1-1
χ611111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1111-1-1-1-11-1-11-1-1-1-11-1-11-111
χ711111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-11111-1-11-1-11-1-1-111-1-111
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
χ91111111111111111-1111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1111-1-1-1-11-11-11-11111-1-111-1-11111-1-1-1-111111-11-1-1-1-1-111-1-111-1-1-111111-1-1-1-11
χ101111111111111111-1111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1111-1-1-1-11-11-1-111111-1-111-1-11111-1-1-1-1-1-1111-1-111-1-1-1-1-111-1-1-1111-1-1-11-1111-1
χ111111111111111111-1111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1111-1-1-1-11-1-111-1-1-111-1-111-1-11111-1-1-1-111-1-1-111-1-111111-1-11-11-11-1-1-11-11-111-1
χ121111111111111111-1111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1111-1-1-1-11-1-11-11-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-11-111111-1-111-1111-1-111-1-111-1-11
χ131111111111111111-1111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1111-1-1-1-1-111-11-111-1-111-1-111-1-1-1-1111111111-11-1-1-1-1-111-1-1-1111-1-111-1-111-11-1
χ141111111111111111-1111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1111-1-1-1-1-111-1-1111-1-111-1-111-1-1-1-11111-1-1111-1-111-1-1-1-1-1111-11-11-1-1-11-11-11-11
χ151111111111111111-1111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1111-1-1-1-1-11-111-1-1-1-1-111-1-111-1-1-1-1111111-1-1-111-1-111111-1-1-1-1-1111-1-1-11-111-11
χ161111111111111111-1111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1111-1-1-1-1-11-11-11-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-11-111111-1-11111-1-1-111111-1-1-11-1
χ17222222-122-1-1222-122-12-122-1-1-122-1-1-1-1-1-1-1-1-12-12-1-122-1-1-1-1-1-1-1220022002222-1-1-1-1-1-1-1-1-1-1-1-1220000-12-1000-1-1-1-120020000-100-1000
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χ19222222-122-1-1222-122-12-122-1-1-122-1-1-1-1-1-1-1-1-12-12-1-122-1-1-1-1-1-1-1-2-2002200-2-2-2-2111111111111220000-12-1000-1-1-1-1-200-200001001000
χ20222222-122-1-1222-122-12-122-1-1-122-1-1-1-1-1-1-1-1-12-12-1-122-1-1-1-1-1-1-1-2-200-2-200-2-2-2-2111111111111-2-200001-21000111120020000-100-1000
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χ2722222-122-1222-1-12222-1-1-1-1222-1-1-1-1-1-1-1-1-122-1-1222-1-1-1-1-1-1-1-1-1-2-22200221111-2-2-2-21111111100-1-1-1-10002-1-1000000-200-2000110000
χ2822222-122-1222-1-12222-1-1-1-1222-1-1-1-1-1-1-1-1-122-1-1222-1-1-1-1-1-1-1-1-1-2-2-2-200-2-21111-2-2-2-211111111001111000-2110000002002000-1-10000
χ2922222-122-1222-1-122-22-1-111-2-22-1-1-1-1-1111122-1-1-2-2-211-1-1-111112-22-20022-1-11122-2-2-1-1-1-1111100-1-1-11000-211000000-2002000-110000
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χ924-4-44-244-2-4-442-44-420-2-24000022-2-4-4400002-22-20000022-20000000000000000000000000000000000000000000000000023−230000000
χ934-4-44-244-2-4-442-44-420-2-24000022-2-4-4400002-22-20000022-200000000000000000000000000000000000000000000000000−23230000000
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
χ958888-4-4-4-4-4-4-4-4-4-4-4-4-82224444222222-2-2-2-2222-14-2-2-2-2-1-1-111110000000000000000000000000000000000000000000000000000000
χ9688-8-8-48-448-444-8-84-402-4-40000-244-44400002-2-42000002-2-200000000000000000000000000000000000000000000000000000000000
χ9788-8-8-4-4-44-4-444444-40222−4i34i300-2-2-22-2-22i32i3−2i3−2i32-22-10002i3−2i3-111−i3−i3i3i30000000000000000000000000000000000000000000000000000000
χ9888-8-8-4-4-44-4-444444-402224i3−4i300-2-2-22-2-2−2i3−2i32i32i32-22-1000−2i32i3-111i3i3−i3−i30000000000000000000000000000000000000000000000000000000
χ998-88-8-4-4844-8-8-4-44840-42-40000-42-24-44000044-2200000-22-200000000000000000000000000000000000000000000000000000000000
χ1008-88-8-4-4-44444-4-44-44022200−4i34i322-2-22-22i3−2i32i3−2i3-2-2-2-102i3−2i3001-11−i3i3−i3i30000000000000000000000000000000000000000000000000000000
χ1018-88-8-4-4-44444-4-44-440222004i3−4i322-2-22-2−2i32i3−2i32i3-2-2-2-10−2i32i3001-11i3−i3i3−i30000000000000000000000000000000000000000000000000000000
χ1028-8-88-48-4-4-84-44-884402-4-40000-24-444-40000-224200000-2-2200000000000000000000000000000000000000000000000000000000000
χ1038-8-88-4-48-44-8844-4-840-42-400004-2244-400004-4-2200000-2-2200000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-4-444-444-44402220000-2-22-2-226-6-66-22-2-10000011-1-333-30000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-4-444-444-44402220000-2-22-2-22-666-6-22-2-10000011-13-3-330000000000000000000000000000000000000000000000000000000

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