Finite Group Databasebeta

← Group #13148654

Character table — Group #13148654

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77
size11112222444446666666688121212121212121218181818181818181818181824242424242424242424363636363636363636363636363636363636727272727272
order122236662446633666666121236661212121222222222444466661212121212122224446666666612121212666121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-11-1-11111-1-1-1-1-1-1-1-11-1-11-1-1
χ31111111111111111111111111111111-1-1-1-111-1-111-1-11111111111-11-1-11-1-1-1-1-111-1-111-1-1-11-1-11-1
χ41111111111111111111111111111111-1-1-1-1-1-111-1-1111111111111-1-11-1-11-1-1-1-1-1-111-1-111-1-11-1-11
χ5111111111-1-11111111111-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11-11-1111111-1-1-1-111-1-11-11-1
χ6111111111-1-11111111111-1-11111-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-11-1-1-111111-1-11111-1-1-11-1-1-11
χ7111111111-1-11111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11-1-1111-1-1-1-11111-1-1-1-11-1-1111
χ8111111111-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1
χ911111111-11-1-1-1111111111-1111111-1-111-1-1111111-1-1-1-1-1-11-111-1-11-11-1-1-111-1-1111111-1-11-11-1-1-1
χ1011111111-11-1-1-1111111111-1111111-1-111-1-1-1-1-1-1-1-111-1-1-1-11-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111
χ1111111111-11-1-1-1111111111-1111111-1-1-1-11111-1-11111-1-1-1-11-111-1-1-1-1-11-11-1-11111-1-11111-1-1-11-11
χ1211111111-11-1-1-1111111111-1111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11-111-1-1-11111-1-1-111-1-111-1-1-1-1-11111-1
χ1311111111-1-11-1-111111111-111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-111-1111-1111-1-111-1-1-1-1-1-1-1111-11
χ1411111111-1-11-1-111111111-111111-1-11111-1-1-1-1111111-1-1-1-1-11-1-111-1-1-111-111-1-1-1-1111111-1-1-111-1
χ1511111111-1-11-1-111111111-111111-1-111-1-1111111-1-111-1-1-1-1-11-1-11111-1-1-1-1-1-1111111-1-11111-1-1-1-1
χ1611111111-1-11-1-111111111-111111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-11-1-1111-11-111-1-111-1-1-1-111-1-11-11-111
χ1722222222222222-12-122-1-122-1-1-1-122-1-10000002200222-1-1-1-12-1-1-1-1002002000000-1-100-1-100-100-1
χ1822222222222222-12-122-1-122-1-1-1-122-1-1000000-2-200-2-22-1-1-1-12-1-1-1-100-200-2000000110011001001
χ192222222222222-12-12-1-12222-1-1-1-1-1-122000022002200-12-1-12-1-1-1-1-10200200000-1-100-1-1000-100-10
χ202222222222222-12-12-1-12222-1-1-1-1-1-1220000-2-200-2-200-12-1-12-1-1-1-1-10-200-20000011001100010010
χ21222222222-2-2222-12-122-1-1-2-2-1-1-1-1-2-2110000002200-2-22-1-1-11-2111100-2002000000-1-1001100100-1
χ22222222222-2-2222-12-122-1-1-2-2-1-1-1-1-2-211000000-2-200222-1-1-11-2111100200-20000001100-1-100-1001
χ23222222222-2-222-12-12-1-122-2-2-1-1-1-111-2-200002200-2-200-12-1-1-2111110-200200000-1-10011000100-10
χ24222222222-2-222-12-12-1-122-2-2-1-1-1-111-2-20000-2-2002200-12-1-1-2111110200-2000001100-1-1000-10010
χ2522222222-22-2-2-22-12-122-1-12-2-1-1-1-122110000002200-2-2-2111-1-2-1-11100200-2000000-1-1001100-1001
χ2622222222-22-2-2-22-12-122-1-12-2-1-1-1-12211000000-2-20022-2111-1-2-1-11100-20020000001100-1-100100-1
χ2722222222-22-2-2-2-12-12-1-1222-2-1-1-1-1-1-1-2-20000220022001-21121-1-1110-200-200000-1-100-1-100010010
χ2822222222-22-2-2-2-12-12-1-1222-2-1-1-1-1-1-1-2-20000-2-200-2-2001-21121-1-1110200200000110011000-100-10
χ2922222222-2-22-2-22-12-122-1-1-22-1-1-1-1-2-2-1-1000000220022-21111211-1-100-200-2000000-1-100-1-1001001
χ3022222222-2-22-2-22-12-122-1-1-22-1-1-1-1-2-2-1-1000000-2-200-2-2-21111211-1-100200200000011001100-100-1
χ3122222222-2-22-2-2-12-12-1-122-22-1-1-1-1112200002200-2-2001-211-2-111-1-10200-200000-1-10011000-10010
χ3222222222-2-22-2-2-12-12-1-122-22-1-1-1-111220000-2-20022001-211-2-111-1-10-2002000001100-1-1000100-10
χ332-22-222-2-20000022-2-22-22-2002-22-200002-200002-22-20000000000000000002-200002-22-200000000
χ342-22-222-2-20000022-2-22-22-2002-22-200002-20000-22-220000000000000000002-20000-22-2200000000
χ352-22-222-2-20000022-2-22-22-2002-22-20000-2200002-2-22000000000000000000-2200002-2-2200000000
χ362-22-222-2-20000022-2-22-22-2002-22-20000-220000-222-2000000000000000000-220000-222-200000000
χ372-2-222-22-20000022-2-2-22-22002-2-220000002-22-200002-20000000000000000002-22-200002-2000000
χ382-2-222-22-20000022-2-2-22-22002-2-220000002-2-220000-220000000000000000002-2-220000-22000000
χ392-2-222-22-20000022-2-2-22-22002-2-22000000-222-20000-22000000000000000000-222-20000-22000000
χ402-2-222-22-20000022-2-2-22-22002-2-22000000-22-2200002-2000000000000000000-22-2200002-2000000
χ414444444444444-2-2-2-2-2-2-2-2441111-2-2-2-2000000000000-2-211-2-21111000000000000000000000000
χ42444444444-4-444-2-2-2-2-2-2-2-2-4-411112222000000000000-2-21122-1-1-1-1000000000000000000000000
χ4344444444-44-4-4-4-2-2-2-2-2-2-2-24-41111-2-22200000000000022-1-1-2211-1-1000000000000000000000000
χ4444444444-4-44-4-4-2-2-2-2-2-2-2-2-44111122-2-200000000000022-1-12-2-1-111000000000000000000000000
χ4544-4-44-4-44000004444-4-4-4-40044-4-400000000000000000000000000000000000000000000000000
χ4644-4-44-4-44000004-24-2-4-42200-2-2220023−230000000000000000000023−23000000000000000000000000
χ4744-4-44-4-44000004-24-2-4-42200-2-22200−232300000000000000000000−2323000000000000000000000000
χ4844-4-44-4-4400000-24-2422-4-400-2-22223−230000000000000000000023−2300000000000000000000000000
χ4944-4-44-4-4400000-24-2422-4-400-2-222−232300000000000000000000−232300000000000000000000000000
χ5044-4-44-4-4400000-2-2-2-222220011-1-123−2323−23000000000000003-300−33−33000000000000000000000000
χ5144-4-44-4-4400000-2-2-2-222220011-1-123−23−232300000000000000-3300−333−3000000000000000000000000
χ5244-4-44-4-4400000-2-2-2-222220011-1-1−232323−2300000000000000-33003−3−33000000000000000000000000
χ5344-4-44-4-4400000-2-2-2-222220011-1-1−2323−2323000000000000003-3003−33−3000000000000000000000000
χ544-44-444-4-4000004-2-424-4-2200-22-2200000000004-400000000000000000000000000-220000000000
χ554-44-444-4-4000004-2-424-4-2200-22-220000000000-44000000000000000000000000002-20000000000
χ564-44-444-4-400000-242-4-224-400-22-220000000000004-400000000000000000000000000-2200000000
χ574-44-444-4-400000-242-4-224-400-22-22000000000000-44000000000000000000000000002-200000000
χ584-4-444-44-4000004-2-42-442-200-222-2000000000000004-400000000000000000000000000-22000000
χ594-4-444-44-4000004-2-42-442-200-222-200000000000000-44000000000000000000000000002-2000000
χ604-4-444-44-400000-242-42-2-4400-222-2000000004-400000000000000000000000000-22000000000000
χ614-4-444-44-400000-242-42-2-4400-222-200000000-44000000000000000000000000002-2000000000000
χ626666-3-3-3-3666-3-300000000-3-3000000002222000000000000000000200200-1-1-1-100000000-100-100
χ636666-3-3-3-3666-3-300000000-3-300000000-2-2-2-2000000000000000000-200-200111100000000100100
χ646666-3-3-3-36-6-6-3-30000000033000000002222000000000000000000-200-200-1-1-1-100000000100100
χ656666-3-3-3-36-6-6-3-3000000003300000000-2-2-2-2000000000000000000200200111100000000-100-100
χ666666-3-3-3-3-66-63300000000-330000000022-2-2000000000000000000200-200-1-11100000000-100100
χ676666-3-3-3-3-66-63300000000-3300000000-2-222000000000000000000-20020011-1-100000000100-100
χ686666-3-3-3-3-6-6633000000003-30000000022-2-2000000000000000000-200200-1-11100000000100-100
χ696666-3-3-3-3-6-6633000000003-300000000-2-222000000000000000000200-20011-1-100000000-100100
χ708-88-888-8-800000-4-444-44-44002-22-200000000000000000000000000000000000000000000000000
χ718-8-888-88-800000-4-4444-44-4002-2-2200000000000000000000000000000000000000000000000000
χ721212-12-12-666-6000−6i36i30000000000000000000000000000000000000000000000000000000000000000
χ731212-12-12-666-60006i3−6i30000000000000000000000000000000000000000000000000000000000000000
χ7412-1212-12-6-666000000000000000000000004-400000000000000000000000000-220000000000000000
χ7512-1212-12-6-66600000000000000000000000-44000000000000000000000000002-20000000000000000
χ7612-12-1212-66-6600000000000000000000000004-400000000000000000000000000-2200000000000000
χ7712-12-1212-66-660000000000000000000000000-44000000000000000000000000002-200000000000000

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