Finite Group Databasebeta

← Group #13148517

Character table — Group #13148517

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77
size11112222444446666666688121212121212121218181818181818181818181824242424242424242424363636363636363636363636363636363636727272727272
order1222366624412123366666661236666612122244444444446661212121212121222444466121212121212121212126612121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111-11-1-1-11111-1-1-1-1-1-1-1-11-11-1-1-1
χ31111111111111111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-111-1-1-1-1-11111-1-1-1-1-1-1-111-1
χ41111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-11-1-1-11-1-1-1-1-1-1-1-11111-11-1-1-11
χ5111111111-1-1-1-1111111111-1111111-1-111-1-111-1-11111111-1-1-1-1-1-1-1-1-11-11-111-1-111-1-11111-1-11-11-1
χ6111111111-1-1-1-1111111111-1111111-1-111-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-1-1111-1111-1-1-1-111-1-1-1-1-1111-11
χ7111111111-1-1-1-1111111111-1111111-1-1-1-11111-1-1-1-1-1-1111-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-111
χ8111111111-1-1-1-1111111111-1111111-1-1-1-111-1-1111111111-1-1-1-1-1-1-11-1-11-1-1-1-111-1-11111111-1-11-1-1
χ911111111-11-11111111111-1-11-1-1111-1-1111111-1-111-1-1-1-1-11-1111-1-1-11-11-1-1111111-1-111-1-1-11-11-1-1
χ1011111111-11-11111111111-1-11-1-1111-1-11111-1-111-1-111-1-1-11-1111-1-1-1-1-1-1111111-1-111-1-111-1-1-1-111
χ1111111111-11-11111111111-1-11-1-1111-1-1-1-1-1-111-1-1-1-111-1-1-11-1111-1-11-111-11-1-1-1-111-1-1-1-1111-111-11
χ1211111111-11-11111111111-1-11-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1111-1-1111-11-1-1-1-1-1-1-11111-1-1111-11-1
χ1311111111-1-11-1-111111111-111-1-11111111-1-1111111-1-1-1-1-1-11-1-1-1111-1-1-1-1111-1-1111111-1-11-1-1-1-11
χ1411111111-1-11-1-111111111-111-1-11111111-1-1-1-1-1-1-1-111-1-1-1-11-1-1-11111-111-111-1-1-1-1-1-1-1-11111-111-1
χ1511111111-1-11-1-111111111-111-1-111111-1-1111111-1-111-1-1-1-11-1-1-111-111-1-1-1-1-1111111-1-111-111-1-1-1
χ1611111111-1-11-1-111111111-111-1-111111-1-111-1-1-1-111-1-1-1-1-1-11-1-1-111-1-11111-1-111-1-1-1-111-1-1-1-11111
χ1722222222222222-1-1-1222-122-1-1-1-1-1-1220000000022222-1-1-1-12-1-1-1-102000200000000-1-1-1-10-1000-1
χ1822222222222222-1-1-1222-122-1-1-1-1-1-12200000000-2-2-2-22-1-1-1-12-1-1-1-10-2000-2000000001111010001
χ192222222222222-1222-1-1-1222-122-1-1-1-1-1000022220000-1-1-122-1-1-1-1-10002200000-1-1-1-10000000-1-10
χ202222222222222-1222-1-1-1222-122-1-1-1-1-10000-2-2-2-20000-1-1-122-1-1-1-1-1000-2-20000011110000000110
χ21222222222-2-2-2-22-1-1-1222-12-2-1-1-1-1-1-1-2-20000000022222-1-111-211110-2000-200000000-1-1-1-1010001
χ22222222222-2-2-2-22-1-1-1222-12-2-1-1-1-1-1-1-2-200000000-2-2-2-22-1-111-211110200020000000011110-1000-1
χ23222222222-2-2-2-2-1222-1-1-122-2-122-1-1-111000022-2-20000-1-1-1-2-211111000-2200000-1-11100000001-10
χ24222222222-2-2-2-2-1222-1-1-122-2-122-1-1-1110000-2-2220000-1-1-1-2-2111110002-20000011-1-10000000-110
χ2522222222-22-2222-1-1-1222-1-2-2-111-1-1-1-2-20000000022-2-2-211-112-1-11102000-200000000-1-1110-10001
χ2622222222-22-2222-1-1-1222-1-2-2-111-1-1-1-2-200000000-2-222-211-112-1-1110-200020000000011-1-101000-1
χ2722222222-22-222-1222-1-1-12-2-2-1-2-2-1-1-111000022-2-200001112-2-1-1-1110002-200000-1-1110000000-110
χ2822222222-22-222-1222-1-1-12-2-2-1-2-2-1-1-1110000-2-22200001112-2-1-1-111000-220000011-1-100000001-10
χ2922222222-2-22-2-22-1-1-1222-1-22-111-1-1-1220000000022-2-2-2111-1-211-1-10-2000200000000-1-11101000-1
χ3022222222-2-22-2-22-1-1-1222-1-22-111-1-1-12200000000-2-222-2111-1-211-1-102000-20000000011-1-10-10001
χ3122222222-2-22-2-2-1222-1-1-12-22-1-2-2-1-1-1-1-1000022220000111-22111-1-1000-2-200000-1-1-1-10000000110
χ3222222222-2-22-2-2-1222-1-1-12-22-1-2-2-1-1-1-1-10000-2-2-2-20000111-22111-1-1000220000011110000000-1-10
χ3322-2-22-22-200000222-22-2-2-200200-22-200002-2002i−2i002i−2i0000000000000000002-2002i−2i002i−2i000000
χ3422-2-22-22-200000222-22-2-2-200200-22-200002-200−2i2i00−2i2i0000000000000000002-200−2i2i00−2i2i000000
χ3522-2-22-22-200000222-22-2-2-200200-22-20000-22002i−2i00−2i2i000000000000000000-22002i−2i00−2i2i000000
χ3622-2-22-22-200000222-22-2-2-200200-22-20000-2200−2i2i002i−2i000000000000000000-2200−2i2i002i−2i000000
χ372-22-22-2-220000022-22-22-2-200200-2-22002-2002i−2i002i−2i0000000000000000002-2002i−2i002i−2i00000000
χ382-22-22-2-220000022-22-22-2-200200-2-22002-200−2i2i00−2i2i0000000000000000002-200−2i2i00−2i2i00000000
χ392-22-22-2-220000022-22-22-2-200200-2-2200-22002i−2i00−2i2i000000000000000000-22002i−2i00−2i2i00000000
χ402-22-22-2-220000022-22-22-2-200200-2-2200-2200−2i2i002i−2i000000000000000000-2200−2i2i002i−2i00000000
χ414444444444444-2-2-2-2-2-2-2-2441-2-2111-2-2000000000000-211-2-2-21111000000000000000000000000
χ42444444444-4-4-4-4-2-2-2-2-2-2-2-24-41-2-211122000000000000-211222-1-1-1-1000000000000000000000000
χ4344444444-44-444-2-2-2-2-2-2-2-2-4-4122111220000000000002-1-1-22-211-1-1000000000000000000000000
χ4444444444-4-44-4-4-2-2-2-2-2-2-2-2-44122111-2-20000000000002-1-12-22-1-111000000000000000000000000
χ4544-4-44-44-4000004-2-224-4-4200-2002-220000000000004i−4i00000000000000000000000000−2i2i000000
χ4644-4-44-44-4000004-2-224-4-4200-2002-22000000000000−4i4i000000000000000000000000002i−2i000000
χ4744-4-44-44-400000-244-4-222-400-2002-22000000004i−4i00000000000000000000000000−2i2i0000000000
χ4844-4-44-44-400000-244-4-222-400-2002-2200000000−4i4i000000000000000000000000002i−2i0000000000
χ494-44-44-4-44000004-22-2-44-4200-20022-200000000004i−4i00000000000000000000000000−2i2i00000000
χ504-44-44-4-44000004-22-2-44-4200-20022-20000000000−4i4i000000000000000000000000002i−2i00000000
χ514-44-44-4-4400000-24-442-22-400-20022-20000004i−4i00000000000000000000000000−2i2i000000000000
χ524-44-44-4-4400000-24-442-22-400-20022-2000000−4i4i000000000000000000000000002i−2i000000000000
χ534-4-4444-4-40000044-4-4-4-444004004-4-4000000000000000000000000000000000000000000000000
χ544-4-4444-4-4000004-222-4-44-200-2−2i32i3-222000000000000000−2i32i30000000000000000000000000000000
χ554-4-4444-4-4000004-222-4-44-200-22i3−2i3-2220000000000000002i3−2i30000000000000000000000000000000
χ564-4-4444-4-400000-24-4-422-2400-200-22223−230000000000000000000023−23000000000000000000000000
χ574-4-4444-4-400000-24-4-422-2400-200-222−232300000000000000000000−2323000000000000000000000000
χ584-4-4444-4-400000-2-22222-2-2001−2i32i31-1-123−230000000000000i3−i30003i−3i−33000000000000000000000000
χ594-4-4444-4-400000-2-22222-2-2001−2i32i31-1-1−23230000000000000i3−i3000−3i3i3−3000000000000000000000000
χ604-4-4444-4-400000-2-22222-2-20012i3−2i31-1-123−230000000000000−i3i3000−3i3i−33000000000000000000000000
χ614-4-4444-4-400000-2-22222-2-20012i3−2i31-1-1−23230000000000000−i3i30003i−3i3−3000000000000000000000000
χ626666-3-3-3-3666-3-300000000-3-3000000002222000000000000000000202000-1-1-1-100000000-10-1000
χ636666-3-3-3-3666-3-300000000-3-300000000-2-2-2-2000000000000000000-20-2000111100000000101000
χ646666-3-3-3-36-6-63300000000-330000000022-2-2000000000000000000-202000-1-1110000000010-1000
χ656666-3-3-3-36-6-63300000000-3300000000-2-22200000000000000000020-200011-1-100000000-101000
χ666666-3-3-3-3-66-6-3-30000000033000000002222000000000000000000-20-2000-1-1-1-100000000101000
χ676666-3-3-3-3-66-6-3-3000000003300000000-2-2-2-2000000000000000000202000111100000000-10-1000
χ686666-3-3-3-3-6-6633000000003-30000000022-2-200000000000000000020-2000-1-11100000000-101000
χ696666-3-3-3-3-6-6633000000003-300000000-2-222000000000000000000-20200011-1-10000000010-1000
χ7088-8-88-88-800000-4-4-44-444400200-22-2000000000000000000000000000000000000000000000000
χ718-88-88-8-8800000-4-44-44-44400200-2-22000000000000000000000000000000000000000000000000
χ721212-12-12-66-6600000000000000000000000004-400000000000000000000000000-2200000000000000
χ731212-12-12-66-660000000000000000000000000-44000000000000000000000000002-200000000000000
χ7412-1212-12-666-6000000000000000000000004-400000000000000000000000000-220000000000000000
χ7512-1212-12-666-600000000000000000000000-44000000000000000000000000002-20000000000000000
χ7612-12-1212-6-66600063−630000000000000000000000000000000000000000000000000000000000000000
χ7712-12-1212-6-666000−63630000000000000000000000000000000000000000000000000000000000000000

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