Finite Group Databasebeta

← Group #13172113

Character table — Group #13172113

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1111222222222222444444444444466668888888888888888812121212121212121212121212121212181818182424242424242424242424242424242424243636363636363636363654545454727272
order122233366666666623336666666664444366666666666666662444661212121212121212121222446661212121212121212121212121212122444666612124444121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-11-11-1-111-1-1111111-1-1-1-1-1-1-11111-111111111-1-11-1-1111-1-1-1-1-1-1-1-1-1-11
χ31111111111111111111111111111111-1-111111111111111111111-111111111-1-1-1-111-1-11111-1-1111111-1-1-1-111-11-1-1-1-111-1-1-1-1-1-1-11-1
χ41111111111111111111111111111111-1-111111111111111111-11-1-1-1-111-1-111-1-1-1-1-1-111-1-1-11-1-11-11111-1-1-1-1-1-1-1-11-1-1-1-1-11111111-1-1
χ511111111111111111111111111111-1-111111111111111111111-11111-1-111-1-11111-1-111111-111-11-1-1-1-1111111-1-11-1-1-1-1-111-1-1-1-11-1-1
χ611111111111111111111111111111-1-11111111111111111111-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-11-1-1-1-111-1-11111-11-1
χ711111111111111111111111111111-1-1-1-1111111111111111111-11-111-1-111-1-1-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-1-1-1-1-1-1111-1-1111-1-1-1-11111-1-11
χ811111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111
χ91111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-11111-1-1111111-1-111111-1-1-1-1-111-1-111-1-1-1-111-1-111-1-11111-1-1-11-1
χ101111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-11-1-1-1111111111111-1-1-1-1-1-1-1-1-1111-1-111-1-1111-11-11111-1-1-1-1111-1-1
χ111111111111111111-111111111111111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-11-1-111111-1-111-1-1-1-1-1-1-1-1111-111-1-111-1-1-1-111-1-1-1111-1-1-1-1-1-1-1-111111
χ121111111111111111-111111111111111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-111-1111-1-1-1-11111-1-1-11-1-1111111-1-1-1-11
χ131111111111111111-1111111111111-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-111-1-1-1-1-1-1111111111111-1-11-1-1-11111-1-1-1-1-1-1-11-1-11111-1-111-1-11
χ141111111111111111-1111111111111-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-1-1-1-11-1-111-1-11111-1-111-1111-1-1-1-1-1-111-1-1111
χ151111111111111111-1111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-111-1111-1-1-1-1-1-1-1-1-1-111-1-11111111-1-1-111-1-111-1-11-11-11111-1-111-1-11-1-1
χ161111111111111111-1111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-111111-1-111-1-1111111-1-111-1-111-1-111-11-1
χ17222222-1-1222-12-12222-1-12-1-1-122-1-1-12200-122-122-1-1-1-1-1-1-1-1-1-1-1222022-1-1-1-12200002200-1-1-1200-12-1-1-1-10000-1-1020000-1-10000000-10
χ18222222-1-1222-12-12222-1-12-1-1-122-1-1-12200-122-122-1-1-1-1-1-1-1-1-1-1-1-22-20-2-2-1-111220000-2-200111200-1-2-1-1-1-10000110-2000011000000010
χ19222222-1-1222-12-12222-1-12-1-1-122-1-1-1-2-200-122-122-1-1-1-1-1-1-1-1-1-1-12-2202211-1-1-2-20000-2-200-1-1-1-2001211110000-1-10-2000011000000010
χ20222222-1-1222-12-12222-1-12-1-1-122-1-1-1-2-200-122-122-1-1-1-1-1-1-1-1-1-1-1-2-2-20-2-21111-2-200002200111-2001-21111000011020000-1-10000000-10
χ21222222-1-1222-12-122-22-1-12-1-1-122-1-1-12200-1-2-21-2-21111-1-1-111112-2-2022-1-111220000-2-200-1-1-1-2001-2-1-111000011020000110000000-10
χ22222222-1-1222-12-122-22-1-12-1-1-122-1-1-12200-1-2-21-2-21111-1-1-11111-2-220-2-2-1-1-1-12200002200111-20012-1-1110000-1-10-20000-1-1000000010
χ23222222-1-1222-12-122-22-1-12-1-1-122-1-1-1-2-200-1-2-21-2-21111-1-1-1111122-20221111-2-200002200-1-1-1200-1-211-1-10000110-20000-1-1000000010
χ24222222-1-1222-12-122-22-1-12-1-1-122-1-1-1-2-200-1-2-21-2-21111-1-1-11111-2220-2-211-1-1-2-20000-2-200111200-1211-1-10000-1-1020000110000000-10
χ2522222-1222-1-12222-12-1-12-1-122-1-1-1-122222-12-12-1-1-1-122-1-1-1-1-1-1-10202002200-1-122-1-10000000-12-120-1-1-1-1-1-1-1-1002002-1-10000000000-1
χ2622222-1222-1-12222-12-1-12-1-122-1-1-1-1222-2-2-12-12-1-1-1-122-1-1-1-1-1-1-1020-2002200-1-1-2-2110000000-1-2120-1-1-1-1111100-200-21100000000001
χ2722222-1222-1-12222-12-1-12-1-122-1-1-1-12-2-222-12-12-1-1-1-122-1-1-1-1-1-1-10-20200-2-2001122-1-1000000012-1-201111-1-1-1-100-200-21100000000001
χ2822222-1222-1-12222-12-1-12-1-122-1-1-1-12-2-2-2-2-12-12-1-1-1-122-1-1-1-1-1-1-10-20-200-2-20011-2-21100000001-21-2011111111002002-1-10000000000-1
χ2922222-1222-1-12222-1-2-1-12-1-122-1-1-1-122222-1-21-21111-2-2-1-1-111110-20-2002200-1-122-1-100000001-21-20-1-111-1-11100200-2-1-100000000001
χ3022222-1222-1-12222-1-2-1-12-1-122-1-1-1-1222-2-2-1-21-21111-2-2-1-1-111110-202002200-1-1-2-211000000012-1-20-1-11111-1-100-2002110000000000-1
χ3122222-1222-1-12222-1-2-1-12-1-122-1-1-1-12-2-222-1-21-21111-2-2-1-1-11111020-200-2-2001122-1-10000000-1-212011-1-1-1-11100-2002110000000000-1
χ3222222-1222-1-12222-1-2-1-12-1-122-1-1-1-12-2-2-2-2-1-21-21111-2-2-1-1-11111020200-2-20011-2-2110000000-12-12011-1-111-1-100200-2-1-100000000001
χ332222-1222-1222-12-122-12-1-12-1-1-1-122-10022-1-122-1-122-1-1-1-1-1-1-1-1-12022-1-1002200-1-12200222-1-10-120-10000-1-1-1-1-1-100200000-1-10000-100
χ342222-1222-1222-12-122-12-1-12-1-1-1-122-10022-1-122-1-122-1-1-1-1-1-1-1-1-1-20-221100-2-200-1-12200-2-2-2110-12010000-1-1-1-11100-200000110000100
χ352222-1222-1222-12-122-12-1-12-1-1-1-122-100-2-2-1-122-1-122-1-1-1-1-1-1-1-1-1202-2-1-100220011-2-200-2-22-1-101-20-100001111-1-100-200000110000100
χ362222-1222-1222-12-122-12-1-12-1-1-1-122-100-2-2-1-122-1-122-1-1-1-1-1-1-1-1-1-20-2-21100-2-20011-2-20022-21101-201000011111100200000-1-10000-100
χ372222-1222-1222-12-12-2-12-1-12-1-1-1-122-10022-11-2-211-2-211-1-1-1111120-2-2-1-100-2-200-1-12200222-1-101-2010000-1-1111100-200000-1-10000100
χ382222-1222-1222-12-12-2-12-1-12-1-1-1-122-10022-11-2-211-2-211-1-1-11111-202-211002200-1-12200-2-2-21101-20-10000-1-111-1-100200000110000-100
χ392222-1222-1222-12-12-2-12-1-12-1-1-1-122-100-2-2-11-2-211-2-211-1-1-1111120-22-1-100-2-20011-2-200-2-22-1-10-1201000011-1-11100200000110000-100
χ402222-1222-1222-12-12-2-12-1-12-1-1-1-122-100-2-2-11-2-211-2-211-1-1-11111-20221100220011-2-20022-2110-120-1000011-1-1-1-100-200000-1-10000100
χ4122-2-2222-2-22-2-222-2-202222-22-2-2-22-2-2002i−2i20000000002-2-200000000000000002i−2i2i−2i2-2000000000000002i−2i00000000002-200002i−2i000
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χ452-2-2222222-22-2-2-2-2-20222-22-222-2-2-2-22i−2i002000000000-22-200000000002i−2i002i−2i0000002i−2i000000002i−2i00000000000000002i−2i2-200000
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χ4944444-2-2-24-2-2-24-24-24-21-2-21-2-2-2-211-2440014-2-2-2-211-2-21111111040000-2-200-2-200000000000-200-20111100000000000000000000000
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χ1028-8-88-48-4-4-4-884444-80-4-424-4-22-4444-200002000000000-22-200000000000000000000000000000000000000000000000000000000000
χ1038-8-88-4-488-44-4-84-84402-4-4-2-44-42-244400002000000000-22-200000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-4-4-44-4444440222-22-222-2-2-2-20000-1000006-6001-11-333-30000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-4-4-44-4444440222-22-222-2-2-2-20000-100000-66001-113-3-330000000000000000000000000000000000000000000000000000000

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