Finite Group Databasebeta

← Group #13172289

Character table — Group #13172289

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size111122222222222244444444444444444444488888888888881212121212121212121212121212121212121212121212121212242424242424242424242424242436363636363636367272727272108108
order1222333666666666233366666666666666666366666666666622224466666666666666666666666666121212121212121224444466121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-11-11111111111-1-1111111111-111-1-111-1-111-1-1-11-1-11-1-1-111-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-11-1111111111-1-11111111111-11-1-111-1-111-1-111-1-11-1-11-1-1-1-111-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-111-1-1-1-1111
χ511111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111-1-11-1-111-1-1-1-11-1-1
χ611111111111111111111111111111111111111111111111111-1-11-11-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-111-1-111-1-111-1-1-1-11-1-11-1-1-1-111-111
χ711111111111111111111111111111111111111111111111111-1-1-11-11-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-111-11-1-11-1-1-111-1-1-111
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
χ91111111111111111-1111-1-1-1-11111111-1-1-1-1111-1-1-1-1-1111-1-1-1-11-111-1-11111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-11111-11-1-11-1
χ101111111111111111-1111-1-1-1-11111111-1-1-1-1111-1-1-1-1-1111-1-1-1-11-11-1-111111-1-1-1-111-1-11111-1-1-1-11-111-1-1-1-111-1-111-1111-1-1-1-11-1-111-11
χ111111111111111111-1111-1-1-1-11111111-1-1-1-1111-1-1-1-1-1111-1-1-1-11-1-111-11111-1-1-1-1-1-1111111-1-1-1-1-11-1-11111-1-111-1-1-1-1-1111-1-1-111-11-11
χ121111111111111111-1111-1-1-1-11111111-1-1-1-1111-1-1-1-1-1111-1-1-1-11-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111-11-11-111-11-11-11-1
χ131111111111111111-1111-1-1-1-11111111-1-1-1-1111-1-1-1-1-1111-1-1-1-1-1111-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11-11-11-111-11-11-1-11
χ141111111111111111-1111-1-1-1-11111111-1-1-1-1111-1-1-1-1-1111-1-1-1-1-111-1-11-1-1-1-1111111-1-1-1-1-1-111111-111-1-1-1-111-1-111-1-1-1111-1-1-111-111-1
χ151111111111111111-1111-1-1-1-11111111-1-1-1-1111-1-1-1-1-1111-1-1-1-1-11-111-1-1-1-1-11111-1-111-1-1-1-11111-11-1-11111-1-111-1-1-1111-1-1-1-11-1-1111-1
χ161111111111111111-1111-1-1-1-11111111-1-1-1-1111-1-1-1-1-1111-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-11111-11-1-1-11
χ17222222-122-1-12222-12-1-122222-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100222200000000-1-1-1-10000000022-1-1-1-12-12-1-1-1-1-1200200-1-10000-100
χ18222222-122-1-12222-12-1-122222-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1002-22-200000000-1-111000000002-2-1-1112-1-21-1-111-200-200110000100
χ19222222-122-1-12222-12-1-122222-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-22-220000000011-1-100000000-2211-1-1-212-111-1-1-200-200110000100
χ20222222-122-1-12222-12-1-122222-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-200000000111100000000-2-21111-21-211111200200-1-10000-100
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χ2522222-122-12222-1-1222-1-122-1-122-1-1-1-1-1-1-1-1-12-1-1222-1-1-1-1-1-1-1-1-122020222-1-122-1-10022-1-1-1-1-1-1-1-10-100-1-100-1200-1-10020020000-1-1000
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χ2922222-122-12222-1-12-22-1-1-2-21122-1-1-1-1-111112-1-1-2-2-211-1-1-111112-2020-222-1-1-2-2110022-1-1-1-111110-100-1-1001-2001100-20020000-11000
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χ362222-122-1222-1-12222-12-1-1-122-1-122-1-1-1-1-1-1-1-12-12-1-122-1-1-1-1-1-1-1-2-2-20-2011-2-211-2-2-2-200111111111011001-200110002002000-1-100000
χ372222-122-1222-1-1222-2-12-111-2-2-1-122-1-1-11111-12-1-211-2-2-1-1-111112-220-20-1-12211-2-22200-1-1-1-11111-10-1-1001-20011000200-2000-1100000
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χ4144444-2-24-2-2-244-2-2-24-21-244-2-2-2-211-2-2-2-2-2-2-2-211-2-2-21111111110004040000000000-2-2000000000-2001100-2-20011000000000000000
χ4244444-2-24-2-2-244-2-2-24-21-244-2-2-2-211-2-2-2-2-2-2-2-211-2-2-2111111111000-40-4000000000022000000000200-1-1002200-1-1000000000000000
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χ914-4-44-2-242-2-442-222-40-2-21002i3−2i32-222-1-11−i3i3i3−i32-210002i3−2i3-1-11−i3i3i3−i30000000000−2i32i30000003-3-33i3−i3−i3i300000000000000000000000000000
χ924-4-44-2-242-2-442-222-40-2-2100−2i32i32-222-1-11i3−i3−i3i32-21000−2i32i3-1-11i3−i3−i3i300000000002i3−2i30000003-3-33−i3i3i3−i300000000000000000000000000000
χ934-4-44-2-242-2-442-222-40-2-2100−2i32i32-222-1-11i3−i3−i3i32-21000−2i32i3-1-11i3−i3−i3i30000000000−2i32i3000000-333-3i3−i3−i3i300000000000000000000000000000
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
χ958888-4-4-4-4-4-4-4-4-4-4-4-4-822244442222222-2-2-2-222-14-2-2-2-2-1-1-111110000000000000000000000000000000000000000000000000000000
χ9688-8-88-4-4-84448-8-44-40-42-40000-442-2-44400004-22000002-2-200000000000000000000000000000000000000000000000000000000000
χ9788-8-8-48-44-844-448-8-402-4-400002-2-44-4440000-242000002-2-200000000000000000000000000000000000000000000000000000000000
χ9888-8-8-4-4-44444-44-44-4022200002-22-22-2-266-6-6-2-2-100000-111-3-3330000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-4-44444-44-44-4022200002-22-22-2-2-6-666-2-2-100000-11133-3-30000000000000000000000000000000000000000000000000000000
χ1008-88-88-4-484-44-8-84-440-42-4000044-224-440000-4-2200000-22-200000000000000000000000000000000000000000000000000000000000
χ1018-88-8-4-4-4-44-44444-4402224i3−4i300-2-2-22-22-2−2i32i3−2i32i32-2-10−2i32i3001-11i3−i3i3−i30000000000000000000000000000000000000000000000000000000
χ1028-88-8-4-4-4-44-44444-440222−4i34i300-2-2-22-22-22i3−2i32i3−2i32-2-102i3−2i3001-11−i3i3−i3i30000000000000000000000000000000000000000000000000000000
χ1038-8-88-48-4484-44-4-8-8402-4-40000-224444-40000-2-4200000-2-2200000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-44-44-44-44440222004i3−4i3-22-2-2-2-22−2i32i32i3−2i3-22-1000−2i32i311-1i3−i3−i3i30000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-44-44-44-4444022200−4i34i3-22-2-2-2-222i3−2i3−2i32i3-22-10002i3−2i311-1−i3i3i3−i30000000000000000000000000000000000000000000000000000000

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