Finite Group Databasebeta

← Group #13181302

Character table — Group #13181302

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135
size11222223344466622444446688812121233666669912121218181822444446688812121244888881212161616242424661212121212181824242436363633666669912121218181866121212121218182424243636369918181818182727363636545454
order1234446441212122223631212126121212121266622644464412121222236312121261212121212666363121212612121212126666661212126121212121266622644464412121222266612121261212121212666226444644121212222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111-1-1111-1-1-11111111-1-1111-1-1-11111111-1-1111-1-1-11111111-1-1111-1-1-11111111-1-1111-1-1-11111111-1-1111-1-1-11111111-1-1111-1-1-11111111-1-1111-1-1-11111111-1-1111-1-1-1
χ31111-1-11111-1-11-1-11111-1-11111-1-11-1-11111-1-11111-1-11-1-11111-1-11111-1-11-1-11111-1-11111-1-11-1-11111-1-11111-1-11-1-11111-1-11111-1-11-1-11111-1-11111-1-11-1-11111-1-11111-1-11-1-1
χ41111-1-11-1-11-1-1-1111111-1-11-1-11-1-1-1111111-1-11-1-11-1-1-1111111-1-11-1-11-1-1-1111111-1-11-1-11-1-1-1111111-1-11-1-11-1-1-1111111-1-11-1-11-1-1-1111111-1-11-1-11-1-1-1111111-1-11-1-11-1-1-111
χ5111-11-1111-11-1-11-1111-11-1111-11-1-11-1111-11-1111-11-1-11-1111-11-1111-11-1-11-1111-11-1111-11-1-11-1111-11-1111-11-1-11-1111-11-1111-11-1-11-1111-11-1111-11-1-11-1111-11-1111-11-1-11-1
χ6111-11-11-1-1-11-11-11111-11-11-1-1-11-11-11111-11-11-1-1-11-11-11111-11-11-1-1-11-11-11111-11-11-1-1-11-11-11111-11-11-1-1-11-11-11111-11-11-1-1-11-11-11111-11-11-1-1-11-11-11111-11-11-1-1-11-11-11
χ7111-1-11111-1-11-1-11111-1-11111-1-11-1-11111-1-11111-1-11-1-11111-1-11111-1-11-1-11111-1-11111-1-11-1-11111-1-11111-1-11-1-11111-1-11111-1-11-1-11111-1-11111-1-11-1-11111-1-11111-1-11-1-11
χ8111-1-111-1-1-1-1111-1111-1-111-1-1-1-1111-1111-1-111-1-1-1-1111-1111-1-111-1-1-1-1111-1111-1-111-1-1-1-1111-1111-1-111-1-1-1-1111-1111-1-111-1-1-1-1111-1111-1-111-1-1-1-1111-1111-1-111-1-1-1-1111-1
χ922-1222-100-1-1-100022-1222-100-1-1-100022-1222-100-1-1-100022-1222-100-1-1-100022-1222-100-1-1-100022-1222-100-1-1-100022-1222-100-1-1-100022-1222-100-1-1-100022-1222-100-1-1-1000
χ1022-12-2-2-100-11100022-12-2-2-100-11100022-12-2-2-100-11100022-12-2-2-100-11100022-12-2-2-100-11100022-12-2-2-100-11100022-12-2-2-100-11100022-12-2-2-100-11100022-12-2-2-100-111000
χ1122-1-22-2-1001-1100022-1-22-2-1001-1100022-1-22-2-1001-1100022-1-22-2-1001-1100022-1-22-2-1001-1100022-1-22-2-1001-1100022-1-22-2-1001-1100022-1-22-2-1001-1100022-1-22-2-1001-11000
χ1222-1-2-22-10011-100022-1-2-22-10011-100022-1-2-22-10011-100022-1-2-22-10011-100022-1-2-22-10011-100022-1-2-22-10011-100022-1-2-22-10011-100022-1-2-22-10011-100022-1-2-22-10011-1000
χ132-22000-22i−2i0000002-22000-22i−2i0000002-22000-22i−2i0000002-22000-22i−2i0000002-22000-22i−2i0000002-22000-22i−2i0000002-22000-22i−2i0000002-22000-22i−2i0000002-22000-22i−2i000000
χ142-22000-2−2i2i0000002-22000-2−2i2i0000002-22000-2−2i2i0000002-22000-2−2i2i0000002-22000-2−2i2i0000002-22000-2−2i2i0000002-22000-2−2i2i0000002-22000-2−2i2i0000002-22000-2−2i2i000000
χ154-4-20002000000004-4-20002000000004-4-20002000000004-4-20002000000004-4-20002000000004-4-20002000000004-4-20002000000004-4-20002000000004-4-2000200000000
χ16111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ171111111-1-1111-1-1-11111111-1-1111-1-1-1-1-1-1-1-1-1-111-1-1-11111111111-1-1111-1-1-11111111-1-1111-1-1-1-1-1-1-1-1-1-111-1-1-11111111111-1-1111-1-1-11111111-1-1111-1-1-1-1-1-1-1-1-1-111-1-1-1111
χ181111-1-11111-1-11-1-11111-1-11111-1-11-1-1-1-1-1-111-1-1-1-111-1111111-1-11111-1-11-1-11111-1-11111-1-11-1-1-1-1-1-111-1-1-1-111-1111111-1-11111-1-11-1-11111-1-11111-1-11-1-1-1-1-1-111-1-1-1-111-111
χ191111-1-11-1-11-1-1-1111111-1-11-1-11-1-1-111-1-1-1-111-111-1111-1-11111-1-11-1-11-1-1-1111111-1-11-1-11-1-1-111-1-1-1-111-111-1111-1-11111-1-11-1-11-1-1-1111111-1-11-1-11-1-1-111-1-1-1-111-111-1111-1-1
χ20111-11-1111-11-1-11-1111-11-1111-11-1-11-1-1-1-11-11-1-1-11-111-11111-11-1111-11-1-11-1111-11-1111-11-1-11-1-1-1-11-11-1-1-11-111-11111-11-1111-11-1-11-1111-11-1111-11-1-11-1-1-1-11-11-1-1-11-111-11
χ21111-11-11-1-1-11-11-11111-11-11-1-1-11-11-11-1-1-11-11-1111-11-11-1111-11-11-1-1-11-11-11111-11-11-1-1-11-11-11-1-1-11-11-1111-11-11-1111-11-11-1-1-11-11-11111-11-11-1-1-11-11-11-1-1-11-11-1111-11-11-1
χ22111-1-11111-1-11-1-11111-1-11111-1-11-1-11-1-1-111-1-1-1-111-111-1111-1-11111-1-11-1-11111-1-11111-1-11-1-11-1-1-111-1-1-1-111-111-1111-1-11111-1-11-1-11111-1-11111-1-11-1-11-1-1-111-1-1-1-111-111-1
χ23111-1-111-1-1-1-1111-1111-1-111-1-1-1-1111-1-1-1-111-1-11111-1-1-11111-1-111-1-1-1-1111-1111-1-111-1-1-1-1111-1-1-1-111-1-11111-1-1-11111-1-111-1-1-1-1111-1111-1-111-1-1-1-1111-1-1-1-111-1-11111-1-1-11
χ2422-1222-100-1-1-100022-1222-100-1-1-1000-2-21-2-2-210011100022-1222-100-1-1-100022-1222-100-1-1-1000-2-21-2-2-210011100022-1222-100-1-1-100022-1222-100-1-1-1000-2-21-2-2-2100111000
χ2522-12-2-2-100-11100022-12-2-2-100-111000-2-21-2221001-1-100022-12-2-2-100-11100022-12-2-2-100-111000-2-21-2221001-1-100022-12-2-2-100-11100022-12-2-2-100-111000-2-21-2221001-1-1000
χ2622-1-22-2-1001-1100022-1-22-2-1001-11000-2-212-22100-11-100022-1-22-2-1001-1100022-1-22-2-1001-11000-2-212-22100-11-100022-1-22-2-1001-1100022-1-22-2-1001-11000-2-212-22100-11-1000
χ2722-1-2-22-10011-100022-1-2-22-10011-1000-2-2122-2100-1-1100022-1-2-22-10011-100022-1-2-22-10011-1000-2-2122-2100-1-1100022-1-2-22-10011-100022-1-2-22-10011-1000-2-2122-2100-1-11000
χ282-22000-22i−2i0000002-22000-22i−2i000000-22-20002−2i2i0000002-22000-22i−2i0000002-22000-22i−2i000000-22-20002−2i2i0000002-22000-22i−2i0000002-22000-22i−2i000000-22-20002−2i2i000000
χ292-22000-2−2i2i0000002-22000-2−2i2i000000-22-200022i−2i0000002-22000-2−2i2i0000002-22000-2−2i2i000000-22-200022i−2i0000002-22000-2−2i2i0000002-22000-2−2i2i000000-22-200022i−2i000000
χ304-4-20002000000004-4-2000200000000-442000-2000000004-4-20002000000004-4-2000200000000-442000-2000000004-4-20002000000004-4-2000200000000-442000-200000000
χ31222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000
χ322222222-2-2222-2-2-2-1-1-1-1-1-1-111-1-1-11110000000000000002222222-2-2222-2-2-2-1-1-1-1-1-1-111-1-1-11110000000000000002222222-2-2222-2-2-2-1-1-1-1-1-1-111-1-1-1111000000000000000
χ332222-2-22222-2-22-2-2-1-1-1-111-1-1-1-111-1110000000000000002222-2-22222-2-22-2-2-1-1-1-111-1-1-1-111-1110000000000000002222-2-22222-2-22-2-2-1-1-1-111-1-1-1-111-111000000000000000
χ342222-2-22-2-22-2-2-222-1-1-1-111-111-1111-1-10000000000000002222-2-22-2-22-2-2-222-1-1-1-111-111-1111-1-10000000000000002222-2-22-2-22-2-2-222-1-1-1-111-111-1111-1-1000000000000000
χ35222-22-2222-22-2-22-2-1-1-11-11-1-1-11-111-11000000000000000222-22-2222-22-2-22-2-1-1-11-11-1-1-11-111-11000000000000000222-22-2222-22-2-22-2-1-1-11-11-1-1-11-111-11000000000000000
χ36222-22-22-2-2-22-22-22-1-1-11-11-1111-11-11-1000000000000000222-22-22-2-2-22-22-22-1-1-11-11-1111-11-11-1000000000000000222-22-22-2-2-22-22-22-1-1-11-11-1111-11-11-1000000000000000
χ37222-2-22222-2-22-2-22-1-1-111-1-1-1-111-111-1000000000000000222-2-22222-2-22-2-22-1-1-111-1-1-1-111-111-1000000000000000222-2-22222-2-22-2-22-1-1-111-1-1-1-111-111-1000000000000000
χ38222-2-222-2-2-2-2222-2-1-1-111-1-11111-1-1-11000000000000000222-2-222-2-2-2-2222-2-1-1-111-1-11111-1-1-11000000000000000222-2-222-2-2-2-2222-2-1-1-111-1-11111-1-1-11000000000000000
χ3944-2444-200-2-2-2000-2-21-2-2-210011100000000000000000044-2444-200-2-2-2000-2-21-2-2-210011100000000000000000044-2444-200-2-2-2000-2-21-2-2-2100111000000000000000000
χ4044-24-4-4-200-222000-2-21-2221001-1-100000000000000000044-24-4-4-200-222000-2-21-2221001-1-100000000000000000044-24-4-4-200-222000-2-21-2221001-1-1000000000000000000
χ4144-2-44-4-2002-22000-2-212-22100-11-100000000000000000044-2-44-4-2002-22000-2-212-22100-11-100000000000000000044-2-44-4-2002-22000-2-212-22100-11-1000000000000000000
χ4244-2-4-44-20022-2000-2-2122-2100-1-1100000000000000000044-2-4-44-20022-2000-2-2122-2100-1-1100000000000000000044-2-4-44-20022-2000-2-2122-2100-1-11000000000000000000
χ434-44000-44i−4i000000-22-20002−2i2i0000000000000000000004-44000-44i−4i000000-22-20002−2i2i0000000000000000000004-44000-44i−4i000000-22-20002−2i2i000000000000000000000
χ444-44000-4−4i4i000000-22-200022i−2i0000000000000000000004-44000-4−4i4i000000-22-200022i−2i0000000000000000000004-44000-4−4i4i000000-22-200022i−2i000000000000000000000
χ458-8-4000400000000-442000-2000000000000000000000008-8-4000400000000-442000-2000000000000000000000008-8-4000400000000-442000-200000000000000000000000
χ46111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ471111111-1-1111-1-1-11111111-1-1111-1-1-11111111-1-1111-1-1-11111111-1-1111-1-1-11111111-1-1111-1-1-11111111-1-1111-1-1-1-1-1-1-1-1-1-111-1-1-1111-1-1-1-1-1-1-111-1-1-1111-1-1-1-1-1-1-111-1-1-1111
χ481111-1-11111-1-11-1-11111-1-11111-1-11-1-11111-1-11111-1-11-1-11111-1-11111-1-11-1-11111-1-11111-1-11-1-11111-1-11111-1-11-1-1-1-1-1-111-1-1-1-111-111-1-1-1-111-1-1-1-111-111-1-1-1-111-1-1-1-111-111
χ491111-1-11-1-11-1-1-1111111-1-11-1-11-1-1-1111111-1-11-1-11-1-1-1111111-1-11-1-11-1-1-1111111-1-11-1-11-1-1-1111111-1-11-1-11-1-1-111-1-1-1-111-111-1111-1-1-1-1-1-111-111-1111-1-1-1-1-1-111-111-1111-1-1
χ50111-11-1111-11-1-11-1111-11-1111-11-1-11-1111-11-1111-11-1-11-1111-11-1111-11-1-11-1111-11-1111-11-1-11-1111-11-1111-11-1-11-1-1-1-11-11-1-1-11-111-11-1-1-11-11-1-1-11-111-11-1-1-11-11-1-1-11-111-11
χ51111-11-11-1-1-11-11-11111-11-11-1-1-11-11-11111-11-11-1-1-11-11-11111-11-11-1-1-11-11-11111-11-11-1-1-11-11-11111-11-11-1-1-11-11-11-1-1-11-11-1111-11-11-1-1-1-11-11-1111-11-11-1-1-1-11-11-1111-11-11-1
χ52111-1-11111-1-11-1-11111-1-11111-1-11-1-11111-1-11111-1-11-1-11111-1-11111-1-11-1-11111-1-11111-1-11-1-11111-1-11111-1-11-1-11-1-1-111-1-1-1-111-111-1-1-1-111-1-1-1-111-111-1-1-1-111-1-1-1-111-111-1
χ53111-1-111-1-1-1-1111-1111-1-111-1-1-1-1111-1111-1-111-1-1-1-1111-1111-1-111-1-1-1-1111-1111-1-111-1-1-1-1111-1111-1-111-1-1-1-1111-1-1-1-111-1-11111-1-1-11-1-1-111-1-11111-1-1-11-1-1-111-1-11111-1-1-11
χ5422-1222-100-1-1-100022-1222-100-1-1-100022-1222-100-1-1-100022-1222-100-1-1-100022-1222-100-1-1-100022-1222-100-1-1-1000-2-21-2-2-2100111000-2-21-2-2-2100111000-2-21-2-2-2100111000
χ5522-12-2-2-100-11100022-12-2-2-100-11100022-12-2-2-100-11100022-12-2-2-100-11100022-12-2-2-100-11100022-12-2-2-100-111000-2-21-2221001-1-1000-2-21-2221001-1-1000-2-21-2221001-1-1000
χ5622-1-22-2-1001-1100022-1-22-2-1001-1100022-1-22-2-1001-1100022-1-22-2-1001-1100022-1-22-2-1001-1100022-1-22-2-1001-11000-2-212-22100-11-1000-2-212-22100-11-1000-2-212-22100-11-1000
χ5722-1-2-22-10011-100022-1-2-22-10011-100022-1-2-22-10011-100022-1-2-22-10011-100022-1-2-22-10011-100022-1-2-22-10011-1000-2-2122-2100-1-11000-2-2122-2100-1-11000-2-2122-2100-1-11000
χ582-22000-22i−2i0000002-22000-22i−2i0000002-22000-22i−2i0000002-22000-22i−2i0000002-22000-22i−2i0000002-22000-22i−2i000000-22-20002−2i2i000000-22-20002−2i2i000000-22-20002−2i2i000000
χ592-22000-2−2i2i0000002-22000-2−2i2i0000002-22000-2−2i2i0000002-22000-2−2i2i0000002-22000-2−2i2i0000002-22000-2−2i2i000000-22-200022i−2i000000-22-200022i−2i000000-22-200022i−2i000000
χ604-4-20002000000004-4-20002000000004-4-20002000000004-4-20002000000004-4-20002000000004-4-2000200000000-442000-200000000-442000-200000000-442000-200000000
χ61111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111
χ621111111-1-1111-1-1-11111111-1-1111-1-1-1-1-1-1-1-1-1-111-1-1-11111111111-1-1111-1-1-11111111-1-1111-1-1-1-1-1-1-1-1-1-111-1-1-1111-1-1-1-1-1-1-111-1-1-1111-1-1-1-1-1-1-111-1-1-11111111111-1-1111-1-1-1
χ631111-1-11111-1-11-1-11111-1-11111-1-11-1-1-1-1-1-111-1-1-1-111-1111111-1-11111-1-11-1-11111-1-11111-1-11-1-1-1-1-1-111-1-1-1-111-111-1-1-1-111-1-1-1-111-111-1-1-1-111-1-1-1-111-1111111-1-11111-1-11-1-1
χ641111-1-11-1-11-1-1-1111111-1-11-1-11-1-1-111-1-1-1-111-111-1111-1-11111-1-11-1-11-1-1-1111111-1-11-1-11-1-1-111-1-1-1-111-111-1111-1-1-1-1-1-111-111-1111-1-1-1-1-1-111-111-1111-1-11111-1-11-1-11-1-1-111
χ65111-11-1111-11-1-11-1111-11-1111-11-1-11-1-1-1-11-11-1-1-11-111-11111-11-1111-11-1-11-1111-11-1111-11-1-11-1-1-1-11-11-1-1-11-111-11-1-1-11-11-1-1-11-111-11-1-1-11-11-1-1-11-111-11111-11-1111-11-1-11-1
χ66111-11-11-1-1-11-11-11111-11-11-1-1-11-11-11-1-1-11-11-1111-11-11-1111-11-11-1-1-11-11-11111-11-11-1-1-11-11-11-1-1-11-11-1111-11-11-1-1-1-11-11-1111-11-11-1-1-1-11-11-1111-11-11-1111-11-11-1-1-11-11-11
χ67111-1-11111-1-11-1-11111-1-11111-1-11-1-11-1-1-111-1-1-1-111-111-1111-1-11111-1-11-1-11111-1-11111-1-11-1-11-1-1-111-1-1-1-111-111-1-1-1-111-1-1-1-111-111-1-1-1-111-1-1-1-111-111-1111-1-11111-1-11-1-11
χ68111-1-111-1-1-1-1111-1111-1-111-1-1-1-1111-1-1-1-111-1-11111-1-1-11111-1-111-1-1-1-1111-1111-1-111-1-1-1-1111-1-1-1-111-1-11111-1-1-11-1-1-111-1-11111-1-1-11-1-1-111-1-11111-1-1-11111-1-111-1-1-1-1111-1
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χ1082222-2-22222-2-22-2-22222-2-22222-2-22-2-2-2-2-2-222-2-2-2-222-222-1-1-1-111-1-1-1-111-111-1-1-1-111-1-1-1-111-1111111-1-11111-1-11-1-1000000000000000000000000000000000000000000000
χ1092222-2-22-2-22-2-2-2222222-2-22-2-22-2-2-222-2-2-2-222-222-2222-2-2-1-1-1-111-111-1111-1-1-1-1-1-111-111-1111-1-11111-1-11-1-11-1-1-111000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).