Finite Group Databasebeta

← Group #13172190

Character table — Group #13172190

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1111222222222222444444444444466668888888888888888812121212121212121212121212121212181818182424242424242424242424242424242424243636363636363636363654545454727272
order1222333666666666233366666666644443666666666666666644441212121212121212121212124444121212121212121212121212121212121212244466121212122222121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-11111-1-111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11
χ31111111111111111111111111111111-1-1111111111111111111-111111111-1-111-1-111-1-11-11-1111111-1-1-1-11111-1-11-1-1-111-1-1-1-1-1-11-1-1
χ41111111111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-111-1-111-1-1-1-1111-11-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-11-1
χ511111111111111111111111111111-1-11111111111111111111-11111111-1-111-1-111-1-111-11-1111-1-1-1-111111111-1-1-11-1-1-1-111-1-1-1-1-11-1
χ611111111111111111111111111111-1-11111111111111111111-11-1-1-1-1-1-1-1-111-1-11111-1-1-11-11-1-1-1-1-1-11111-1-1-1-1-1-11-1-1-111-1-111111-1-1
χ711111111111111111111111111111-1-1-1-111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-11
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
χ91111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-11-111-1-11111111111-1-1-1-1-1-11-111-1-111-1-111-1-11-1-111111-1-111-1-1-11-1
χ101111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-11-1-11111111111-1-111-1-1-1-1-1111-1-111-1-1-1-1111-11-111-1-111-1-1111-1-1
χ111111111111111111-111111111111111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-1-111-111-1-111-1-111-1-11111-11-111-111-1-1-1-11111-1-1-11-1-1-1-11111-1-111-1-11
χ121111111111111111-111111111111111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-1-11-11-1-11111-1-111-1-1-1-1-1-1-11-11-1111-1-1-1-111-1-111-1111-1-1-1-1-1-111-1-1111
χ131111111111111111-1111111111111-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-11-11-111-1-1-1-111-1-111-1-1-1-11-11-11-1-1-11111-1-111-1-1-1111-1-1-1-1-1-1-1-111111
χ141111111111111111-1111111111111-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-11-1-11-1-111-1-111-1-11111111-11-1-11-1-11111-1-1-1-111-11-1-1-1-1111111-1-1-1-11
χ151111111111111111-1111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-1111-111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-111-1-11111-1-11-11-111-1-11111-1-11-1-1
χ161111111111111111-1111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-111-11-1-111-1-1-1-1-1-1-1-111-1-11111-11-1-111-1-111-1-1111-1-111111-1-1-1-111-11-1
χ17222222-1-1-1222222-122-1-12-1-122-1-1-1-12222-122-122-1-1-1-1-1-1-1-1-1-1-1220000002222-1-1-1-10000-1-12200-1-1-1-1-1-1-1-100002200-1-10000000000-1
χ18222222-1-1-1222222-122-1-12-1-122-1-1-1-122-2-2-122-122-1-1-1-1-1-1-1-1-1-1-12-200000022-2-2-1-1110000-112-200-1-1-1-111110000-2-2001100000000001
χ19222222-1-1-1222222-122-1-12-1-122-1-1-1-1-2-222-122-122-1-1-1-1-1-1-1-1-1-1-1-22000000-2-22211-1-100001-1-22001111-1-1-1-10000-2-2001100000000001
χ20222222-1-1-1222222-122-1-12-1-122-1-1-1-1-2-2-2-2-122-122-1-1-1-1-1-1-1-1-1-1-1-2-2000000-2-2-2-21111000011-2-2001111111100002200-1-10000000000-1
χ21222222-1-1-1222222-1-22-1-12-1-122-1-1-1-12222-1-2-21-2-21111-1-1-11111-2-20000002222-1-1-1-1000011-2-200-1-111-1-11100002-200-1-100000000001
χ22222222-1-1-1222222-1-22-1-12-1-122-1-1-1-122-2-2-1-2-21-2-21111-1-1-11111-2200000022-2-2-1-11100001-1-2200-1-11111-1-10000-2200110000000000-1
χ23222222-1-1-1222222-1-22-1-12-1-122-1-1-1-1-2-222-1-2-21-2-21111-1-1-111112-2000000-2-22211-1-10000-112-20011-1-1-1-1110000-2200110000000000-1
χ24222222-1-1-1222222-1-22-1-12-1-122-1-1-1-1-2-2-2-2-1-2-21-2-21111-1-1-1111122000000-2-2-2-211110000-1-1220011-1-111-1-100002-200-1-100000000001
χ2522222-12222-122-1-122-12-1-12-1-1-122-1-10022-12-12-1-122-1-1-1-1-1-1-1-1-1022222-1-100-1-100220022020-1-120000-1-1-1-1-1-1-1-100020000-1-100000-10
χ2622222-12222-122-1-122-12-1-12-1-1-122-1-10022-12-12-1-122-1-1-1-1-1-1-1-1-102-2-2-2-21100-1-1002200-2-2020-11-20000-1-1-1-11111000-20000110000010
χ2722222-12222-122-1-122-12-1-12-1-1-122-1-100-2-2-12-12-1-122-1-1-1-1-1-1-1-1-10-22222-1-1001100-2-200-2-20-201-1200001111-1-1-1-1000-20000110000010
χ2822222-12222-122-1-122-12-1-12-1-1-122-1-100-2-2-12-12-1-122-1-1-1-1-1-1-1-1-10-2-2-2-2-211001100-2-200220-2011-200001111111100020000-1-100000-10
χ2922222-12222-122-1-12-2-12-1-12-1-1-122-1-10022-1-21-211-2-211-1-1-111110-22-2221100-1-1002200-2-20-201-1-20000-1-111-1-111000200001100000-10
χ3022222-12222-122-1-12-2-12-1-12-1-1-122-1-10022-1-21-211-2-211-1-1-111110-2-22-2-2-1-100-1-1002200220-201120000-1-11111-1-1000-20000-1-10000010
χ3122222-12222-122-1-12-2-12-1-12-1-1-122-1-100-2-2-1-21-211-2-211-1-1-11111022-22211001100-2-20022020-1-1-2000011-1-1-1-111000-20000-1-10000010
χ3222222-12222-122-1-12-2-12-1-12-1-1-122-1-100-2-2-1-21-211-2-211-1-1-1111102-22-2-2-1-1001100-2-200-2-2020-112000011-1-111-1-1000200001100000-10
χ332222-12222-12-1-12222-1-12-1-12-1-1-1-1222200-1-122-1-1-1-122-1-1-1-1-1-1-12022-1-122-1-1002200220020-102-1-1-1-1-10000-1-1-1-1002000-1-1000000-100
χ342222-12222-12-1-12222-1-12-1-12-1-1-1-1222200-1-122-1-1-1-122-1-1-1-1-1-1-120-2-211-2-2-1-1002200-2-20020-10-21-1-1-1-10000111100-200011000000100
χ352222-12222-12-1-12222-1-12-1-12-1-1-1-122-2-200-1-122-1-1-1-122-1-1-1-1-1-1-1-2022-1-1221100-2-200-2-200-20102-111110000-1-1-1-100-200011000000100
χ362222-12222-12-1-12222-1-12-1-12-1-1-1-122-2-200-1-122-1-1-1-122-1-1-1-1-1-1-1-20-2-211-2-21100-2-2002200-2010-21111100001111002000-1-1000000-100
χ372222-12222-12-1-1222-2-1-12-1-12-1-1-1-1222200-11-2-21111-2-2-1-1-11111-202-2-1-1-2-2-1-10022002200-201021-1-1110000-1-11100-2000-1-1000000100
χ382222-12222-12-1-1222-2-1-12-1-12-1-1-1-1222200-11-2-21111-2-2-1-1-11111-20-221122-1-1002200-2-200-2010-2-1-1-111000011-1-100200011000000-100
χ392222-12222-12-1-1222-2-1-12-1-12-1-1-1-122-2-200-11-2-21111-2-2-1-1-11111202-2-1-1-2-21100-2-200-2-20020-102111-1-10000-1-11100200011000000-100
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χ4122-2-22222-22-2-2-22-2-20222-2-222-22-2-2-2002i−2i20000000002-2-2000000000000002i−2i002i−2i2i−2i0000000000002i−2i0000000000002i−2i002-200000
χ4222-2-22222-22-2-2-22-2-20222-2-222-22-2-2-2002i−2i20000000002-2-2000000000000002i−2i002i−2i−2i2i0000000000002i−2i000000000000−2i2i00-2200000
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χ452-22-2222-22-222-2-2-2-20222-22-2-22-2-22-22i−2i002000000000-22-20000000000002i−2i002i−2i00002i−2i0000002i−2i0000000000000000002i−2i002-2000
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χ4944444-2-2-2-24-244-2-2-24-2-21-2-21-2-2-2-211004414-2-2-2-2-2-21111111110400000000-2-200-2-200000-20-20000001111000000000000000000000
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χ1028-8-888-4-444-84-884-4-40-4-42-44-2444-4-2200002000000000-2-2200000000000000000000000000000000000000000000000000000000000
χ1038-8-88-48-4444-84-4-88-40-42-4-4-2444-224-400002000000000-2-2200000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-444444-44-4-402222-2-2-2-2-22-220000-10006-6000011-1-333-30000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-444444-44-4-402222-2-2-2-2-22-220000-1000-66000011-13-3-330000000000000000000000000000000000000000000000000000000

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