Finite Group Databasebeta

← Group #13168297

Character table — Group #13168297

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1111222222222222444444444444466668888888888888888812121212121212121212121212121212181818182424242424242424242424242424242424243636363636363636363654545454727272
order1222333666666666333466666666622443666121212121212121212121212124444666612121212121212124444661212121212121212121212121212121244441212121212122244121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1111111-1-111-1-1-1-1-1-111-11-111111-1-1-1-111111-11-1-1-111-1-1-1-1-1-11-1-1
χ31111111111111111111111111111111-1-1111111111111111111-1111111-1-111-1-111-1-111111-111-11111111-1-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-11
χ41111111111111111111111111111111-1-1111111111111111111-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-11-1111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-11-1
χ511111111111111111111111111111-1-11111111111111111111-1111-1-1-1-11111111111-1-1-1-1111-11-1-1-111111111-1-1-1111-1-1-1-1-1-1-1-1-11-1
χ611111111111111111111111111111-1-11111111111111111111-11-1-1-1-1-1-111-1-111-1-1-1-111-1-1-11-1-11-1-1-1-1-1-1-11111-11-1-1-1-1-1-1111111-1-11
χ711111111111111111111111111111-1-1-1-111111111111111111-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-11-11-1-1-1-1-11111-1-1-1-11-11-1-1-111-1-111111-1-1
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
χ91111111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111111-1-11111-1-11111-1-11-1-1-1-1-111-1-111-1-11-1-11-1-11111-1-111-11-1
χ101111111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-111-1-1111-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-111-1-1-1-11
χ111111111111111111111-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-111111111-111-11-1-1-111-1-1-1-111-1-11-111-1-11111-1-11-1-1
χ121111111111111111111-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-111-1-1-1-1-1-1-1-11111-1-11-1-1-1-1-111-1-111-1111-1-1-1-1-1-1-1-111111
χ131111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-111111-1-111-1-1-1111-1-1-1-1-1-111-1-1111
χ141111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1111111-1-11111-1-11-1-11-1111-1-11111-1-1-1-11-111-1-111-1-1111-1-1
χ151111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111111111-1-1-1-11111-1-11111-1-1-1-111-1-11
χ161111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-1-1-111-1-1-1-1-1-111-1-111-111111-1-111-1-1111-1-11-1-1111111-1-1-11-1
χ17222222-12-1222-12-122-1-122-1-1-1-12-12-12222-1-1-1-12-12-1-1-1-122-1-1-1-1220022-1-12200-1-1000000-1-1020-1-12-1-10000-1-1-1-1202000-1-1000000-100
χ18222222-12-1222-12-122-1-122-1-1-1-12-12-122-2-2-1-1-1-12-12-1-1-1-122-1-1-1-12-20022-1-1-2-20011000000-1-10-20-112-1-100001111-20-200011000000100
χ19222222-12-1222-12-122-1-122-1-1-1-12-12-1-2-222-1-1-1-12-12-1-1-1-122-1-1-1-1-2200-2-2112200-1-1000000110201-1-2110000-1-1-1-1-20-200011000000100
χ20222222-12-1222-12-122-1-122-1-1-1-12-12-1-2-2-2-2-1-1-1-12-12-1-1-1-122-1-1-1-1-2-200-2-211-2-20011000000110-2011-21100001111202000-1-1000000-100
χ21222222-12-1222-12-122-1-1-22-1-1-1-12-12-12222-1-1-1-1-21-21111-2-21111-2-20022-1-12200-1-1000000-1-10-2011-2110000-1-11120-2000-1-1000000100
χ22222222-12-1222-12-122-1-1-22-1-1-1-12-12-122-2-2-1-1-1-1-21-21111-2-21111-220022-1-1-2-20011000000-1-10201-1-211000011-1-1-20200011000000-100
χ23222222-12-1222-12-122-1-1-22-1-1-1-12-12-1-2-222-1-1-1-1-21-21111-2-211112-200-2-2112200-1-1000000110-20-112-1-10000-1-111-20200011000000-100
χ24222222-12-1222-12-122-1-1-22-1-1-1-12-12-1-2-2-2-2-1-1-1-1-21-21111-2-211112200-2-211-2-2001100000011020-1-12-1-1000011-1-120-2000-1-1000000100
χ2522222-12-12-122222-1-12-12-12-12-1-1-1-122200-1-1-1-1-12222-1-1-1-1-1-1-1-12022-1-122002200-1-10022-1-1-10220-1-1-1-1-1-1-1000002000000-1-1000000-1
χ2622222-12-12-122222-1-12-12-12-12-1-1-1-122200-1-1-1-1-12222-1-1-1-1-1-1-1-120-2-2-1-12200-2-2001100-2-2-1-110-220-1-1-1111100000-2000000110000001
χ2722222-12-12-122222-1-12-12-12-12-1-1-1-12-2-200-1-1-1-1-12222-1-1-1-1-1-1-1-1-202211-2-2002200-1-100-2-211-102-20111-1-1-1-100000-2000000110000001
χ2822222-12-12-122222-1-12-12-12-12-1-1-1-12-2-200-1-1-1-1-12222-1-1-1-1-1-1-1-1-20-2-211-2-200-2-2001100221110-2-201111111000002000000-1-1000000-1
χ2922222-12-12-122222-1-12-1-2-12-12-1-1-1-122200-1-1-1-11-2-2-2-211111111-202-2-1-12200-2-200-1-10022-1-1102-20111-1-11100000-2000000-1-10000001
χ3022222-12-12-122222-1-12-1-2-12-12-1-1-1-122200-1-1-1-11-2-2-2-211111111-20-22-1-1220022001100-2-2-1-1-10-2-2011111-1-100000200000011000000-1
χ3122222-12-12-122222-1-12-1-2-12-12-1-1-1-12-2-200-1-1-1-11-2-2-2-211111111202-211-2-200-2-200-1-100-2-21110220-1-1-1-1-11100000200000011000000-1
χ3222222-12-12-122222-1-12-1-2-12-12-1-1-1-12-2-200-1-1-1-11-2-2-2-21111111120-2211-2-200220011002211-10-220-1-1-111-1-100000-2000000-1-10000001
χ332222-122222-1-12-122-1-122-1-12-12-12-1-10022-1-1-1-122-1-1-122-1-1-1-1-1-102220000-1-1-1-122222200002-1-102000-1-1-1-1-1-1-1-10002-1-1000000000-10
χ342222-122222-1-12-122-1-122-1-12-12-12-1-10022-1-1-1-122-1-1-122-1-1-1-1-1-102-2-20000-1-11122-2-2-2-20000-2-11020001111-1-1-1-1000-21100000000010
χ352222-122222-1-12-122-1-122-1-12-12-12-1-100-2-2-1-1-1-122-1-1-122-1-1-1-1-1-10-222000011-1-1-2-222-2-2000021-10-2000-1-1-1-11111000-21100000000010
χ362222-122222-1-12-122-1-122-1-12-12-12-1-100-2-2-1-1-1-122-1-1-122-1-1-1-1-1-10-2-2-200001111-2-2-2-2220000-2110-2000111111110002-1-1000000000-10
χ372222-122222-1-12-122-1-12-2-1-12-12-12-1-10022-1-1-1-1-2-2111-2-21111110-22-20000-1-1112222-2-20000-21-10-2000-1-111-1-111000211000000000-10
χ382222-122222-1-12-122-1-12-2-1-12-12-12-1-10022-1-1-1-1-2-2111-2-21111110-2-220000-1-1-1-122-2-22200002110-200011-1-1-1-111000-2-1-100000000010
χ392222-122222-1-12-122-1-12-2-1-12-12-12-1-100-2-2-1-1-1-1-2-2111-2-2111111022-200001111-2-222220000-2-1-102000-1-11111-1-1000-2-1-100000000010
χ402222-122222-1-12-122-1-12-2-1-12-12-12-1-100-2-2-1-1-1-1-2-2111-2-211111102-22000011-1-1-2-2-2-2-2-200002-110200011-1-111-1-1000211000000000-10
χ4122-2-222222-22-2-2-2-2-22220222-2-2-2-2-2-22-20022-2-2000000000000000002-22-2000000002-2002-2000000000000000000002-200002-200000
χ4222-2-222222-22-2-2-2-2-22220222-2-2-2-2-2-22-20022-2-2000000000000000002-22-200000000-22002-200000000000000000000-220000-2200000
χ4322-2-222222-22-2-2-2-2-22220222-2-2-2-2-2-2-220022-2-200000000000000000-22-22000000002-200-22000000000000000000002-20000-2200000
χ4422-2-222222-22-2-2-2-2-22220222-2-2-2-2-2-2-220022-2-200000000000000000-22-2200000000-2200-2200000000000000000000-2200002-200000
χ452-2-22222-2-22-2-222-2-22220-2-2-222-2-22-2002i−2i2-2-220000000000000000000002i−2i002i−2i00002i−2i000000000000002i−2i00000000002i−2i002-2000
χ462-2-22222-2-22-2-222-2-22220-2-2-222-2-22-2002i−2i2-2-220000000000000000000002i−2i002i−2i0000−2i2i000000000000002i−2i0000000000−2i2i00-22000
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χ5144444-2-2-2-2-244-24-2-2-2-21-4-2-21-21-21-2-24400111122-422-1-122-1-1-1-1-4000-2-2-2-200000000000011000202-1-10000000000000000000000000
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χ1038-8-88-4-484-8-4448-4-842-4-40-244-4-4-242400002-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-444-444-4-4442220-2-2-222-2-22-20000-111-10006-60000-333-30000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-444-444-4-4442220-2-2-222-2-22-20000-111-1000-6600003-3-330000000000000000000000000000000000000000000000000000000

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