Finite Group Databasebeta

← Group #13172339

Character table — Group #13172339

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size111122222222222244444444444444444444488888888888881212121212121212121212121212121212121212121212121212242424242424242424242424242436363636363636367272727272108108
order122233366666666623336666666666666666636666666666662224446666666666666666121212126666121212121212121212122244446661212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-11-1111111111111111111-1-111111-1-1-111-1-1-1-1-1-11-11-1-1-1-111-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-11-111111111111111111-1-111-1-1-1-1-1111-1-111111-1-1-1-11-1-11-1-11-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-1111
χ511111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-11-11-1-111-1-1-1-11-1-1
χ611111111111111111111111111111111111111111111111111-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-1-111-1-1-1-11-1-1-1-11-1-11-1-11-111
χ711111111111111111111111111111111111111111111111111-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111-1-11111-1-11-11-1-1-1-111-1-111
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
χ91111111111111111-1111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1111-1-1-1-11-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-11-11-1-111-1-111-1-11-11111-1-1-11-1
χ101111111111111111-1111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1111-1-1-1-11-11-1-1111-1-111-1-11111-1-1-1-1-1-1111111-1-11-1-1-1-1-111-1-1-1111-1-1-11-111-11
χ111111111111111111-1111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1111-1-1-1-11-1-111-111-1-111-1-11111-1-1-1-111-1-1-1-1-1-111-111111-1-11-111-1-1-1-11-11-11-11
χ121111111111111111-1111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1111-1-1-1-11-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-11-11-111-1-111-111-1-1111-1-111-11-1
χ131111111111111111-1111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1111-1-1-1-1-1111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-11-11-1-111-1-1-111-1-1111-1-111-1-11
χ141111111111111111-1111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1111-1-1-1-1-111-1-11-1-111-1-111-1-1-1-11111-1-1111111-1-11-1-1-1-1-1111-111-1-1-1-11-11-111-1
χ151111111111111111-1111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1111-1-1-1-1-11-111-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-111-111111-1-1-1-1-1111-1-1-11-1111-1
χ161111111111111111-1111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1111-1-1-1-1-11-1-111-1-111-1-111-1-1-1-111111111-1-1-1-11-11-111-1-11111-1-11-11111-1-1-1-11
χ17222222-122-1-1222-122-12-122-1-1-122-1-1-1-1-1-1-1-1-12-12-1-122-1-1-1-1-1-1-12202022222-1-1-1-1-1-1-1-1-1-1-1-1002200000-1-1200-1-1-1-120000200-100-1000
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χ19222222-122-1-1222-122-12-122-1-1-122-1-1-1-1-1-1-1-1-12-12-1-122-1-1-1-1-1-1-1-2-20202-2-2-2-2111111111111002200000-1-1200-1-1-1-1-20000-2001001000
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χ914-4-44-24-24222-42-2-2-40-2-2100−2i32i3-22-2-1-11i3−i3−i3i322210−2i32i300-1-11i3−i3−i3i30000002i3−2i3000000−i3i3i3−i33-3-33000000000000000000000000000000000
χ924-4-44-24-24222-42-2-2-40-2-21002i3−2i3-22-2-1-11−i3i3i3−i3222102i3−2i300-1-11−i3i3i3−i3000000−2i32i3000000i3−i3−i3i33-3-33000000000000000000000000000000000
χ934-4-44-24-24222-42-2-2-40-2-21002i3−2i3-22-2-1-11−i3i3i3−i3222102i3−2i300-1-11−i3i3i3−i30000002i3−2i3000000−i3i3i3−i3-333-3000000000000000000000000000000000
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
χ9688-8-88-4-44-8-4448-84-402-4-40000-2-44-44400002-242000002-2-200000000000000000000000000000000000000000000000000000000000
χ9788-8-8-4-48448-84-44-8-40-42-4000042-2-4440000-44-22000002-2-200000000000000000000000000000000000000000000000000000000000
χ9888-8-8-4-4-444-444-444-402220000-22-22-2-266-6-62-2-2-100000-111-3-3330000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-4-444-444-444-402220000-22-22-2-2-6-6662-2-2-100000-11133-3-30000000000000000000000000000000000000000000000000000000
χ1008-88-88-4-4484-4-4-8-84402-4-40000-2444-440000-22-4200000-22-200000000000000000000000000000000000000000000000000000000000
χ1018-88-8-4-4-44-44-4-444440222−4i34i300-2-2-2-22-22i3−2i32i3−2i3-222-10002i3−2i31-11−i3i3−i3i30000000000000000000000000000000000000000000000000000000
χ1028-88-8-4-4-44-44-4-4444402224i3−4i300-2-2-2-22-2−2i32i3−2i32i3-222-1000−2i32i31-11i3−i3i3−i30000000000000000000000000000000000000000000000000000000
χ1038-8-88-4-48-44-8-844-4840-42-40000-4-2244-4000044-2200000-2-2200000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-4-444444-4-44022200−4i34i32-22-2-222i3−2i3−2i32i3-2-2-2-102i3−2i30011-1−i3i3i3−i30000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-4-444444-4-440222004i3−4i32-22-2-22−2i32i32i3−2i3-2-2-2-10−2i32i30011-1i3−i3−i3i30000000000000000000000000000000000000000000000000000000

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