Finite Group Databasebeta

← Group #13181280

Character table — Group #13181280

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135
size11222222233334444444466666666668889912121212121218181822444444466668888888812121212121212121212161616181824242424242436363633666666699991212121212121212181818181818181818182424242727363636363636545454
order1222334664444366666121222444412121212661222661212121222436663312661212121236666612126612121212121212126612666612121212661222226646644446666661212224444121212126612226612121212224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111-1-1111111111-111-1-111-1-1111-1-11-111-1-1-1-1-111111111111-1-1111111111-111-1-111-1-1111-1-11-111-1-1-1-1-111111111111-1-1111111111-111-1-111-1-1111-1-11-111-1-1-1-1-1
χ3111111111-1-11111111111-11-1-111-1-111111-1-1-11-1-111-1-1-1111111111-1-11111111111-11-1-111-1-111111-1-1-11-1-111-1-1-1111111111-1-11111111111-11-1-111-1-111111-1-1-11-1-111-1-1-1
χ4111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1111
χ5111-111-1111111111-1-11-1-1-1-11-11-111111-1-111-1-11-11-11-1-1111-111-1111111111-1-11-1-1-1-11-11-111111-1-111-1-11-11-11-1-1111-111-1111111111-1-11-1-1-1-11-11-111111-1-111-1-11-11-11-1-1
χ6111-111-11111-1-1111-1-11-1-1-111-1-1111-1-11-1-1-1-1-111-1-11-111111-111-11111-1-1111-1-11-1-1-111-1-1111-1-11-1-1-1-1-111-1-11-111111-111-11111-1-1111-1-11-1-1-111-1-1111-1-11-1-1-1-1-111-1-11-111
χ7111-111-111-1-111111-1-11-1-11-1-111-1-1-1111-1-1-1-11-1-111-1-111111-111-111-1-111111-1-11-1-11-1-111-1-1-1111-1-1-1-11-1-111-1-111111-111-111-1-111111-1-11-1-11-1-111-1-1-1111-1-1-1-11-1-111-1-111
χ8111-111-111-1-1-1-1111-1-11-1-111-11-11-1-1-1-11-1-11111-11-111-1-1111-111-111-1-1-1-1111-1-11-1-111-11-11-1-1-1-11-1-11111-11-111-1-1111-111-111-1-1-1-1111-1-11-1-111-11-11-1-1-1-11-1-11111-11-111-1-1
χ911-1111-11111111-1-1111-1-1-1-1-11-111111-11-111-1-1-11-11-11-111-1111-11111111-1-1111-1-1-1-1-11-111111-11-111-1-1-11-11-11-111-1111-11111111-1-1111-1-1-1-1-11-111111-11-111-1-1-11-11-11-1
χ1011-1111-11111-1-11-1-1111-1-1-11-111-111-1-1-11-1-1-1-11-111-11-1111-1111-11111-1-11-1-1111-1-1-11-111-111-1-1-11-1-1-1-11-111-11-1111-1111-11111-1-11-1-1111-1-1-11-111-111-1-1-11-1-1-1-11-111-11-11
χ1111-1111-111-1-1111-1-1111-1-11-11-1-11-1-111-11-1-1-11-11-1-111-1111-1111-111-1-1111-1-1111-1-11-11-1-11-1-111-11-1-1-11-11-1-111-1111-1111-111-1-1111-1-1111-1-11-11-1-11-1-111-11-1-1-11-11-1-111-11
χ1211-1111-111-1-1-1-11-1-1111-1-1111-11-1-1-1-1-1-11-111111-11-1-11-111-1111-111-1-1-1-11-1-1111-1-1111-11-1-1-1-1-1-11-111111-11-1-11-111-1111-111-1-1-1-11-1-1111-1-1111-11-1-1-1-1-1-11-111111-11-1-11-1
χ1311-1-11111111111-1-1-1-111111-1-1-1-11111-1-111111-1-1-1-1-1-1111-1-11111111111-1-1-1-111111-1-1-1-11111-1-111111-1-1-1-1-1-1111-1-11111111111-1-1-1-111111-1-1-1-11111-1-111111-1-1-1-1-1-11
χ1411-1-11111111-1-11-1-1-1-11111-1-1-11111-1-1-1-11-1-11-1-1-11111-111-1-11111111-1-11-1-1-1-11111-1-1-11111-1-1-1-11-1-11-1-1-11111-111-1-11111111-1-11-1-1-1-11111-1-1-11111-1-1-1-11-1-11-1-1-11111-1
χ1511-1-111111-1-1111-1-1-1-1111-1111-1-1-1-111-1-11-1-1-1111-1-111-111-1-111111-1-1111-1-1-1-1111-1111-1-1-1-111-1-11-1-1-1111-1-111-111-1-111111-1-1111-1-1-1-1111-1111-1-1-1-111-1-11-1-1-1111-1-111-1
χ1611-1-111111-1-1-1-11-1-1-1-1111-1-11111-1-1-1-1-1-1111-1-11111-1-1111-1-111111-1-1-1-11-1-1-1-1111-1-11111-1-1-1-1-1-1111-1-11111-1-1111-1-111111-1-1-1-11-1-1-1-1111-1-11111-1-1-1-1-1-1111-1-11111-1-11
χ1722222-122-10022-12-12-1-12-102002200-1-1-1-1-1000-100-1-100022222-122-10022-12-12-1-12-102002200-1-1-1-1-1000-100-1-100022222-122-10022-12-12-1-12-102002200-1-1-1-1-1000-100-1-1000
χ1822222-122-100-2-2-12-12-1-12-10-200-2-20011-1-1-10001001100022222-122-100-2-2-12-12-1-12-10-200-2-20011-1-1-10001001100022222-122-100-2-2-12-12-1-12-10-200-2-20011-1-1-100010011000
χ192222-122-122200-1-12-12-1-12202200-1-100-1-1-100-10-1-1000002222-122-122200-1-12-12-1-12202200-1-100-1-1-100-10-1-1000002222-122-122200-1-12-12-1-12202200-1-100-1-1-100-10-1-100000
χ202222-122-12-2-200-1-12-12-1-12-20-2-2001100-1-1-1001011000002222-122-12-2-200-1-12-12-1-12-20-2-2001100-1-1-1001011000002222-122-12-2-200-1-12-12-1-12-20-2-2001100-1-1-100101100000
χ21222-22-1-22-10022-12-1-21-1-210-2002-200-1-1-111000100-11000222-22-1-22-10022-12-1-21-1-210-2002-200-1-1-111000100-11000222-22-1-22-10022-12-1-21-1-210-2002-200-1-1-111000100-11000
χ22222-22-1-22-100-2-2-12-1-21-1-210200-220011-111000-1001-1000222-22-1-22-100-2-2-12-1-21-1-210200-220011-111000-1001-1000222-22-1-22-100-2-2-12-1-21-1-210200-220011-111000-1001-1000
χ23222-2-12-2-122200-1-121-2-11-2-202-200-1-100-1110010-1100000222-2-12-2-122200-1-121-2-11-2-202-200-1-100-1110010-1100000222-2-12-2-122200-1-121-2-11-2-202-200-1-100-1110010-1100000
χ24222-2-12-2-12-2-200-1-121-2-11-220-22001100-11100-101-100000222-2-12-2-12-2-200-1-121-2-11-220-22001100-11100-101-100000222-2-12-2-12-2-200-1-121-2-11-220-22001100-11100-101-100000
χ2522-222-1-22-10022-1-212-1-1-210-200-2200-1-11-110001001-100022-222-1-22-10022-1-212-1-1-210-200-2200-1-11-110001001-100022-222-1-22-10022-1-212-1-1-210-200-2200-1-11-110001001-1000
χ2622-222-1-22-100-2-2-1-212-1-1-2102002-200111-11000-100-1100022-222-1-22-100-2-2-1-212-1-1-2102002-200111-11000-100-1100022-222-1-22-100-2-2-1-212-1-1-2102002-200111-11000-100-11000
χ2722-22-12-2-122200-11-2-12-11-2-20-2200-1-1001-1100101-10000022-22-12-2-122200-11-2-12-11-2-20-2200-1-1001-1100101-10000022-22-12-2-122200-11-2-12-11-2-20-2200-1-1001-1100101-100000
χ2822-22-12-2-12-2-200-11-2-12-11-2202-20011001-1100-10-110000022-22-12-2-12-2-200-11-2-12-11-2202-20011001-1100-10-110000022-22-12-2-12-2-200-11-2-12-11-2202-20011001-1100-10-1100000
χ2922-2-22-122-10022-1-21-21-12-10200-2-200-1-111-1000-1001100022-2-22-122-10022-1-21-21-12-10200-2-200-1-111-1000-1001100022-2-22-122-10022-1-21-21-12-10200-2-200-1-111-1000-10011000
χ3022-2-22-122-100-2-2-1-21-21-12-10-20022001111-1000100-1-100022-2-22-122-100-2-2-1-21-21-12-10-20022001111-1000100-1-100022-2-22-122-100-2-2-1-21-21-12-10-20022001111-1000100-1-1000
χ3122-2-2-122-122200-11-21-2-1-1220-2-200-1-10011-100-10110000022-2-2-122-122200-11-21-2-1-1220-2-200-1-10011-100-10110000022-2-2-122-122200-11-21-2-1-1220-2-200-1-10011-100-101100000
χ3222-2-2-122-12-2-200-11-21-2-1-12-202200110011-10010-1-10000022-2-2-122-12-2-200-11-21-2-1-12-202200110011-10010-1-10000022-2-2-122-12-2-200-11-21-2-1-12-202200110011-10010-1-100000
χ332-200220-2-22i−2i2i−2i20000-2000000002i−2i2i−2i0002-20000000002-200220-2-22i−2i2i−2i20000-2000000002i−2i2i−2i0002-20000000002-200220-2-22i−2i2i−2i20000-2000000002i−2i2i−2i0002-2000000000
χ342-200220-2-22i−2i−2i2i20000-2000000002i−2i−2i2i000-220000000002-200220-2-22i−2i−2i2i20000-2000000002i−2i−2i2i000-220000000002-200220-2-22i−2i−2i2i20000-2000000002i−2i−2i2i000-22000000000
χ352-200220-2-2−2i2i2i−2i20000-200000000−2i2i2i−2i000-220000000002-200220-2-2−2i2i2i−2i20000-200000000−2i2i2i−2i000-220000000002-200220-2-2−2i2i2i−2i20000-200000000−2i2i2i−2i000-22000000000
χ362-200220-2-2−2i2i−2i2i20000-200000000−2i2i−2i2i0002-20000000002-200220-2-2−2i2i−2i2i20000-200000000−2i2i−2i2i0002-20000000002-200220-2-2−2i2i−2i2i20000-200000000−2i2i−2i2i0002-2000000000
χ374444-2-24-2-200001-2-2-2-21-2-20000000000111000000000004444-2-24-2-200001-2-2-2-21-2-20000000000111000000000004444-2-24-2-200001-2-2-2-21-2-2000000000011100000000000
χ38444-4-2-2-4-2-200001-2-22212200000000001-1-100000000000444-4-2-2-4-2-200001-2-22212200000000001-1-100000000000444-4-2-2-4-2-200001-2-22212200000000001-1-100000000000
χ3944-44-2-2-4-2-20000122-2-21220000000000-11-10000000000044-44-2-2-4-2-20000122-2-21220000000000-11-10000000000044-44-2-2-4-2-20000122-2-21220000000000-11-100000000000
χ4044-4-4-2-24-2-20000122221-2-20000000000-1-110000000000044-4-4-2-24-2-20000122221-2-20000000000-1-110000000000044-4-4-2-24-2-20000122221-2-20000000000-1-1100000000000
χ414-4004-20-42004i−4i-2000020000000000−2i2i000000000000004-4004-20-42004i−4i-2000020000000000−2i2i000000000000004-4004-20-42004i−4i-2000020000000000−2i2i00000000000000
χ424-4004-20-4200−4i4i-20000200000000002i−2i000000000000004-4004-20-4200−4i4i-20000200000000002i−2i000000000000004-4004-20-4200−4i4i-20000200000000002i−2i00000000000000
χ434-400-2402-44i−4i00-20000200000000−2i2i00000000000000004-400-2402-44i−4i00-20000200000000−2i2i00000000000000004-400-2402-44i−4i00-20000200000000−2i2i0000000000000000
χ444-400-2402-4−4i4i00-200002000000002i−2i00000000000000004-400-2402-4−4i4i00-200002000000002i−2i00000000000000004-400-2402-4−4i4i00-200002000000002i−2i0000000000000000
χ458-800-4-4044000020000-2000000000000000000000000008-800-4-4044000020000-2000000000000000000000000008-800-4-4044000020000-200000000000000000000000000
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
χ4711111111111-1-1111111111-111-1-111-1-1111-1-11-111-1-1-1-1-111111111111-1-1111111111-111-1-111-1-1111-1-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-111-11-1-111111
χ48111111111-1-11111111111-11-1-111-1-111111-1-1-11-1-111-1-1-1111111111-1-11111111111-11-1-111-1-111111-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1111-111-1-1111
χ49111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1111111-1-1-1
χ50111-111-1111111111-1-11-1-1-1-11-11-111111-1-111-1-11-11-11-1-1111-111-1111111111-1-11-1-1-1-11-11-111111-1-111-1-11-11-11-1-1-1-1-11-1-11-1-1-1-1-1-1-1-1-111-11111-11-11-1-1-1-1-111-1-111-11-11-111
χ51111-111-11111-1-1111-1-11-1-1-111-1-1111-1-11-1-1-1-1-111-1-11-111111-111-11111-1-1111-1-11-1-1-111-1-1111-1-11-1-1-1-1-111-1-11-111-1-1-11-1-11-1-1-1-111-1-1-111-1111-1-111-1-1-111-111111-1-111-11-1-1
χ52111-111-111-1-111111-1-11-1-11-1-111-1-1-1111-1-1-1-11-1-111-1-111111-111-111-1-111111-1-11-1-11-1-111-1-1-1111-1-1-1-11-1-111-1-111-1-1-11-1-11-1-111-1-1-1-1-111-111-111-1-1111-1-1-11111-111-1-111-1-1
χ53111-111-111-1-1-1-1111-1-11-1-111-11-11-1-1-1-11-1-11111-11-111-1-1111-111-111-1-1-1-1111-1-11-1-111-11-11-1-1-1-11-1-11111-11-111-1-1-1-1-11-1-11-1-11111-1-1-111-111-1-11-11-11111-111-1-1-1-11-11-1-111
χ5411-1111-11111111-1-1111-1-1-1-1-11-111111-11-111-1-1-11-11-11-111-1111-11111111-1-1111-1-1-1-1-11-111111-11-111-1-1-11-11-11-1-1-11-1-1-11-1-1-1-1-1-1-111-1-1-111111-11-1-1-1-1-11-11-1-1111-11-11-11
χ5511-1111-11111-1-11-1-1111-1-1-11-111-111-1-1-11-1-1-1-11-111-11-1111-1111-11111-1-11-1-1111-1-1-11-111-111-1-1-11-1-1-1-11-111-11-11-1-11-1-1-11-1-1-1-111-111-1-1-1111-11-1-11-1-1111-11111-11-1-11-11-1
χ5611-1111-111-1-1111-1-1111-1-11-11-1-11-1-111-11-1-1-11-11-1-111-1111-1111-111-1-1111-1-1111-1-11-11-1-11-1-111-11-1-1-11-11-1-111-11-1-11-1-1-11-1-111-1-1-111-1-1-111-11-111-111-1-11-1111-11-111-1-11-1
χ5711-1111-111-1-1-1-11-1-1111-1-1111-11-1-1-1-1-1-11-111111-11-1-11-111-1111-111-1-1-1-11-1-1111-1-1111-11-1-1-1-1-1-11-111111-11-1-11-1-1-11-1-1-11-1-11111-111-1-1-111-1-1-11-1111111-11-1-1-1-1-11-111-11
χ5811-1-11111111111-1-1-1-111111-1-1-1-11111-1-111111-1-1-1-1-1-1111-1-11111111111-1-1-1-111111-1-1-1-11111-1-111111-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-111-1-1-1-1-1111111-1
χ5911-1-11111111-1-11-1-1-1-11111-1-1-11111-1-1-1-11-1-11-1-1-11111-111-1-11111111-1-11-1-1-1-11111-1-1-11111-1-1-1-11-1-11-1-1-11111-1-1-111-1-1-1-1-1-1-111-11111-1-1-1-1111-1-1-1-11111-111-1111-1-1-1-11
χ6011-1-111111-1-1111-1-1-1-1111-1111-1-1-1-111-1-11-1-1-1111-1-111-111-1-111111-1-1111-1-1-1-1111-1111-1-1-1-111-1-11-1-1-1111-1-111-1-1-111-1-1-1-1-111-1-1-11111-1-1-11-1-1-11111-1-111-1111-1-1-111-1-11
χ6111-1-111111-1-1-1-11-1-1-1-1111-1-11111-1-1-1-1-1-1111-1-11111-1-1111-1-111111-1-1-1-11-1-1-1-1111-1-11111-1-1-1-1-1-1111-1-11111-1-11-1-111-1-1-1-1-11111-11111-1-1-111-1-1-1-1111111-1-1-111-1-1-1-111-1
χ6222222-122-10022-12-12-1-12-102002200-1-1-1-1-1000-100-1-100022222-122-10022-12-12-1-12-102002200-1-1-1-1-1000-100-1-1000-2-2-2-2-21-2-2100-2-21-21-211-210-200-2-2001111100010011000
χ6322222-122-100-2-2-12-12-1-12-10-200-2-20011-1-1-10001001100022222-122-100-2-2-12-12-1-12-10-200-2-20011-1-1-100010011000-2-2-2-2-21-2-2100221-21-211-2102002200-1-1111000-100-1-1000
χ642222-122-122200-1-12-12-1-12202200-1-100-1-1-100-10-1-1000002222-122-122200-1-12-12-1-12202200-1-100-1-1-100-10-1-100000-2-2-2-21-2-21-2-2-20011-21-211-2-20-2-200110011100101100000
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Here i is the imaginary unit (i² = −1).