Finite Group Databasebeta

← Group #13172372

Character table — Group #13172372

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size111122222222222244444444444444444444488888888888881212121212121212121212121212121212121212121212121212242424242424242424242424242436363636363636367272727272108108
order1222333666666666233366666666666666666366666666666624444466121212121212121212121212121212121212666121212121212121212121222444412126612121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-111-1-11-1-1-1-1
χ3111111111111111111111111111111111111111111111111111-11-111111111-1-1111111111111111-1-1-11111-1-1-1-11-1-1-11-1-1-1-11-11-1-1-1
χ4111111111111111111111111111111111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-11111-1-1-1-1-11-1-1-11-1-11-1-1-1111
χ511111111111111111111111111111111111111111111111111-11-1111-1-1111111111111111111-1-1-1111-1-1-1-11111-11-1-1-11-1-11-1-1-11-1-1
χ611111111111111111111111111111111111111111111111111-11-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111111-1-1-11-1-1-1-11-11-111
χ711111111111111111111111111111111111111111111111111-1-1-1-111-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-1-111
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
χ91111111111111111-1111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1111-1-1-1-111-1-11-11111-1-1-1-111-1-11111-1-1-1-111111-1-1-1-1-111-1-11-11-1-11-1-1-111-111-1
χ101111111111111111-1111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1111-1-1-1-111-1-1-1111-1-111-1-1-1-111-1-1-1-1111111111-1-1-1-1-111-1-1-111-11-1-1-11-111-1-11
χ111111111111111111-1111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1111-1-1-1-11-1-111-11111-1-11111-1-11111-1-1-1-1111-1-11-1-1-1-1-1-11111-11-1-11111-1-1-1-11
χ121111111111111111-1111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1111-1-1-1-11-1-11-1111-1-11111-1-111-1-1-1-11111111-1-11-1-1-1-1-1-111-1-1-111111-1-1-1111-1
χ131111111111111111-1111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1111-1-1-1-1-111-11-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-111-1111111-1-1-1-1-111111-1-1-111-11
χ141111111111111111-1111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1111-1-1-1-1-111-1-11-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-111-1111111-1-111-11-1-11111-1-1-11-1
χ151111111111111111-1111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1111-1-1-1-1-1-1111-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1-111111-1-111-111-11-1-1-11-111-11-1
χ161111111111111111-1111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1111-1-1-1-1-1-111-11-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-111111-1-1111-11-1-11-1-1-111-11-11
χ17222222-1-1222-12-12222-1-122-1-12-1-1-1-1-1-1-1-122-1-1-1222-1-1-1-1-1-1-1-1-120202222-1-1-1-1002222-1-1-1-1-1-1-1-1-1-1-1000-12-1-10000200020000-10-1000
χ18222222-1-1222-12-12222-1-122-1-12-1-1-1-1-1-1-1-122-1-1-1222-1-1-1-1-1-1-1-1-12020-2-222111100-2-2-2-211111111-1-1-1000-12-1-10000-2000-20000101000
χ19222222-1-1222-12-12222-1-122-1-12-1-1-1-1-1-1-1-122-1-1-1222-1-1-1-1-1-1-1-1-1-20-2022-2-2-1-1-1-1002222-1-1-1-1-1-1-1-11110001-2110000-2000-20000101000
χ20222222-1-1222-12-12222-1-122-1-12-1-1-1-1-1-1-1-122-1-1-1222-1-1-1-1-1-1-1-1-1-20-20-2-2-2-2111100-2-2-2-2111111111110001-2110000200020000-10-1000
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χ23222222-1-1222-12-122-22-1-1-2-2112-1-11111-1-122-1-1-1-2-2-211-1-1-11111-20202-2-2-2-1-1110022-2-2-1-1-1-11111111000-12-1-10000-20002000010-1000
χ24222222-1-1222-12-122-22-1-1-2-2112-1-11111-1-122-1-1-1-2-2-211-1-1-11111-2020-22-2-211-1-100-2-2221111-1-1-1-1111000-12-1-100002000-20000-101000
χ2522222-1222-1-12222-12-1-12-1-122-1-1-1-1-1-1-122-1-12-1-12-1-122-1-1-1-1-1-1-102022200222222-1-1-1-1-1-1-1-1-1-1-1-10002-1-10000-1-1-1-102000200-1000-100
χ2622222-1222-1-12222-12-1-12-1-122-1-1-1-1-1-1-122-1-12-1-12-1-122-1-1-1-1-1-1-10202-2-200-2-2-2-2221111111111110002-1-10000-1-1-1-10-2000-2001000100
χ2722222-1222-1-12222-12-1-12-1-122-1-1-1-1-1-1-122-1-12-1-12-1-122-1-1-1-1-1-1-10-20-222002222-2-2-1-1-1-1-1-1-1-1-1-1-1-1000-211000011110-2000-2001000100
χ2822222-1222-1-12222-12-1-12-1-122-1-1-1-1-1-1-122-1-12-1-12-1-122-1-1-1-1-1-1-10-20-2-2-200-2-2-2-2-2-2111111111111000-2110000111102000200-1000-100
χ2922222-1222-1-12222-1-2-1-1211-2-2-1-1-1111122-1-12-1-1-211-2-2-1-1-11111020-22-20022-2-2-2-2-1-111-1-1-1-111110002-110000-1-1110-20002001000-100
χ3022222-1222-1-12222-1-2-1-1211-2-2-1-1-1111122-1-12-1-1-211-2-2-1-1-11111020-2-2200-2-222-2-211-1-11111-1-1-1-10002-110000-1-11102000-200-1000100
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χ3222222-1222-1-12222-1-2-1-1211-2-2-1-1-1111122-1-12-1-1-211-2-2-1-1-111110-202-2200-2-2222211-1-11111-1-1-1-1000-21-1000011-1-10-20002001000-100
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χ352222-1222-1222-12-122-12-12222-1222222-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1-22-2200110000-1-1000000000000-211-122-2111-1-1-1-100-2-200110010000
χ362222-1222-1222-12-122-12-12222-1222222-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20011000011000000000000-2111-2-2-21111111002200-1-100-10000
χ372222-1222-1222-12-12-2-12-1-2-2-2-2-122-2-2-2-2-1-1-1-1-12-111111-1-1-1111122-2-200-1-10000110000000000002-1-1-12-2-2111-1-111002-2001100-10000
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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
χ958888-4-4-4-4-4-4-4-4-4-4-4-4-82224444222-2-2-2-2222222-14-2-2-2-2-1-1-111110000000000000000000000000000000000000000000000000000000
χ9688-8-8-48-4-4-48-84444-80-4-4200004-4400002-2-44-242000002-2-200000000000000000000000000000000000000000000000000000000000
χ9788-8-8-4-488-4-44-84-84402-4-40000-2-440000-442-2442000002-2-200000000000000000000000000000000000000000000000000000000000
χ9888-8-8-4-4-4-4-4-444444402220000-22-266-6-62-22-2-2-2-100000-111-3-3330000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-4-4-4-4-444444402220000-22-2-6-6662-22-2-2-2-100000-11133-3-30000000000000000000000000000000000000000000000000000000
χ1008-88-8-4-48-844-4-848-4402-4-40000-24-4000044-22-44200000-22-200000000000000000000000000000000000000000000000000000000000
χ1018-88-8-4-4-4444-444-4-44022200−4i34i3-2-222i3−2i32i3−2i3-2-2-222-2-10002i3−2i31-11−i3i3−i3i30000000000000000000000000000000000000000000000000000000
χ1028-88-8-4-4-4444-444-4-440222004i3−4i3-2-22−2i32i3−2i32i3-2-2-222-2-1000−2i32i31-11i3−i3i3−i30000000000000000000000000000000000000000000000000000000
χ1038-8-88-48-444-8-8-4-44480-4-420000-4440000-2244-2-4200000-2-2200000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-44444-4-444-40222−4i34i3002-2-22i3−2i3−2i32i3-22-2-2-22-102i3−2i30011-1−i3i3i3−i30000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-44444-4-444-402224i3−4i3002-2-2−2i32i32i3−2i3-22-2-2-22-10−2i32i30011-1i3−i3−i3i30000000000000000000000000000000000000000000000000000000

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