Finite Group Databasebeta

← Group #13148646

Character table — Group #13148646

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77
size11112222444446666666688121212121212121218181818181818181818181824242424242424242424363636363636363636363636363636363636727272727272
order122236662441212336666666123666661212222222444444666121212121212122244446666661212121212126612121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111-11-1-1-1-1-11111-1-1-1-1-1-1-11-1-11-1
χ31111111111111111111111111111111-1-1-1-111-1-111-1-11111111111-1-1-111-111-1-1-1-111-1-1-1-1-1-111-1-1
χ41111111111111111111111111111111-1-1-1-1-1-111-1-1111111111111-11-1-1-11-1-1-1-1-1-1-1-111111-1-1-1-11
χ5111111111-1-1-1-1111111111-1111111-1-1111111-1-1-1-111111-1-1-1-1-1-1-1-11-1-11-1111111-1-1-1-1111-1-11-1-1
χ6111111111-1-1-1-1111111111-1111111-1-11111-1-11111-1-1111-1-1-1-1-1-1-1-1-1-11-11-1-111111111-1-1-1-11-1-11
χ7111111111-1-1-1-1111111111-1111111-1-1-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-11-11-11111-1-1-1-1-1-111-1-1-11-1111
χ8111111111-1-1-1-1111111111-1111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111-11-1
χ911111111-11-1-1-111111111-111-1-11111111-1-11111-1-111-1-1-11-1-111-1-1-1-111-1-11111-1-1-1-11111-1-11-11-1
χ1011111111-11-1-1-111111111-111-1-11111111-1-1-1-1-1-111-1-1-1-1-11-1-111-1-1-111-111-1-111-1-111-1-1-1-11-1-1111
χ1111111111-11-1-1-111111111-111-1-111111-1-11111-1-1-1-1-1-1-1-1-11-1-111-1-111-11-1111-1-111-1-1-1-1-1-1111-1-11
χ1211111111-11-1-1-111111111-111-1-111111-1-111-1-1111111-1-1-11-1-111-1-11-1-1-11-1-1-1-1-111111111-11-11-1-1
χ1311111111-1-111111111111-1-11-1-1111-1-111-1-111-1-11111-1-1-1-111-1-1111-1-1-1-111111-1-111-1-111-11-1-1-11
χ1411111111-1-111111111111-1-11-1-1111-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-111-1-1-111-1-1-1-111-1-11111-1-1
χ1511111111-1-111111111111-1-11-1-1111-1-1-1-111111111-1-1-1-1-1-111-1-111-111-1-1-111-1-1111111-1-11-1-1-11-1
χ1611111111-1-111111111111-1-11-1-1111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-111-1-1-1-111-1-11111
χ1722222222222222-12-1-12-1222-1-1-1-1-1-1222222000000002-1-1-1-12-1-1-1-120200000-1-1-1-10000000-100-10
χ1822222222222222-12-1-12-1222-1-1-1-1-1-122-2-2-2-2000000002-1-1-1-12-1-1-1-1-20-2000001111000000010010
χ192222222222222-12-122-12-122-122-1-1-1-1-1000000220022-1-1-122-1-1-1-1-102000200000000-1-1-1-1-10000-1
χ202222222222222-12-122-12-122-122-1-1-1-1-1000000-2-200-2-2-1-1-122-1-1-1-1-10-2000-2000000001111100001
χ21222222222-2-2-2-22-12-1-12-122-2-1-1-1-1-1-1-2-22222000000002-1-111-21111-20-200000-1-1-1-1000000010010
χ22222222222-2-2-2-22-12-1-12-122-2-1-1-1-1-1-1-2-2-2-2-2-2000000002-1-111-211112020000011110000000-100-10
χ23222222222-2-2-2-2-12-122-12-12-2-122-1-1-1110000002200-2-2-1-1-1-2-2111110-2000200000000-1-11110000-1
χ24222222222-2-2-2-2-12-122-12-12-2-122-1-1-111000000-2-20022-1-1-1-2-21111102000-20000000011-1-1-100001
χ2522222222-22-2-2-22-12-1-12-12-22-111-1-1-12222-2-200000000-211-11-2-1-111-20200000-1-1110000000100-10
χ2622222222-22-2-2-22-12-1-12-12-22-111-1-1-122-2-22200000000-211-11-2-1-11120-20000011-1-10000000-10010
χ2722222222-22-2-2-2-12-122-12-1-22-1-2-2-1-1-1-1-10000002200221112-21-1-1110-2000-200000000-1-1-1-1100001
χ2822222222-22-2-2-2-12-122-12-1-22-1-2-2-1-1-1-1-1000000-2-200-2-21112-21-1-111020002000000001111-10000-1
χ2922222222-2-22222-12-1-12-12-2-2-111-1-1-1-2-222-2-200000000-2111-1211-1-120-200000-1-1110000000-10010
χ3022222222-2-22222-12-1-12-12-2-2-111-1-1-1-2-2-2-22200000000-2111-1211-1-1-2020000011-1-10000000100-10
χ3122222222-2-2222-12-122-12-1-2-2-1-2-2-1-1-1110000002200-2-2111-22-111-1-102000-200000000-1-111-100001
χ3222222222-2-2222-12-122-12-1-2-2-1-2-2-1-1-111000000-2-20022111-22-111-1-10-200020000000011-1-110000-1
χ3322-2-222-2-2000002222-2-2-2-200200-22-200002-2002i−2i2i−2i00000000000000000000002-22i−2i2i−2i00000000
χ3422-2-222-2-2000002222-2-2-2-200200-22-200002-200−2i2i−2i2i00000000000000000000002-2−2i2i−2i2i00000000
χ3522-2-222-2-2000002222-2-2-2-200200-22-20000-22002i−2i−2i2i0000000000000000000000-22−2i2i2i−2i00000000
χ3622-2-222-2-2000002222-2-2-2-200200-22-20000-2200−2i2i2i−2i0000000000000000000000-222i−2i−2i2i00000000
χ372-2-222-2-220000022-2-22-2-2200200-2-22002-2002-200002-200000000000000002-22-20000002-2000000
χ382-2-222-2-220000022-2-22-2-2200200-2-22002-200-220000-220000000000000000-222-2000000-22000000
χ392-2-222-2-220000022-2-22-2-2200200-2-2200-22002-20000-2200000000000000002-2-22000000-22000000
χ402-2-222-2-220000022-2-22-2-2200200-2-2200-2200-2200002-20000000000000000-22-220000002-2000000
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
χ4344444444-44-4-4-4-2-2-2-2-2-2-2-2-44122111-2-20000000000002-1-1-22211-1-1000000000000000000000000
χ4444444444-4-4444-2-2-2-2-2-2-2-2-4-4122111220000000000002-1-12-2-2-1-111000000000000000000000000
χ4544-4-444-4-4000004-24-22-42-400-2002-2200004-40000000000000000000000000000-22000000000000
χ4644-4-444-4-4000004-24-22-42-400-2002-220000-4400000000000000000000000000002-2000000000000
χ4744-4-444-4-400000-24-24-42-4200-2002-22000000004i−4i0000000000000000000000000000−2i2i00000000
χ4844-4-444-4-400000-24-24-42-4200-2002-2200000000−4i4i00000000000000000000000000002i−2i00000000
χ494-44-44-44-40000044-4-4-444-4004004-4-4000000000000000000000000000000000000000000000000
χ504-44-44-44-4000004-2-4224-2-400-2−2i32i3-222000000000000000−2i32i30000000000000000000000000000000
χ514-44-44-44-4000004-2-4224-2-400-22i3−2i3-2220000000000000002i3−2i30000000000000000000000000000000
χ524-44-44-44-400000-242-4-4-24200-200-22223−2300000000000000000023−2300000000000000000000000000
χ534-44-44-44-400000-242-4-4-24200-200-222−2323000000000000000000−232300000000000000000000000000
χ544-44-44-44-400000-2-2222-2-22001−2i32i31-1-123−230000000000000i3−i3000−333i−3i000000000000000000000000
χ554-44-44-44-400000-2-2222-2-22001−2i32i31-1-1−23230000000000000i3−i30003−3−3i3i000000000000000000000000
χ564-44-44-44-400000-2-2222-2-220012i3−2i31-1-123−230000000000000−i3i3000−33−3i3i000000000000000000000000
χ574-44-44-44-400000-2-2222-2-220012i3−2i31-1-1−23230000000000000−i3i30003−33i−3i000000000000000000000000
χ584-4-444-4-44000004-2-42-2-42400-20022-2004-40000000000000000000000000000-2200000000000000
χ594-4-444-4-44000004-2-42-2-42400-20022-200-4400000000000000000000000000002-200000000000000
χ604-4-444-4-4400000-242-442-4-200-20022-20000000000004-400000000000000000000000000-22000000
χ614-4-444-4-4400000-242-442-4-200-20022-2000000000000-44000000000000000000000000002-2000000
χ626666-3-3-3-3666-3-300000000-3-3000000000000220022000000000000000220-1-10000-1-1000000-1-100
χ636666-3-3-3-3666-3-300000000-3-3000000000000-2-200-2-2000000000000000-2-20110000110000001100
χ646666-3-3-3-36-6-63300000000-330000000000002200-2-2000000000000000-220-1-10000110000001-100
χ656666-3-3-3-36-6-63300000000-33000000000000-2-200220000000000000002-20110000-1-1000000-1100
χ666666-3-3-3-3-66-633000000003-30000000000002200-2-20000000000000002-20-1-1000011000000-1100
χ676666-3-3-3-3-66-633000000003-3000000000000-2-20022000000000000000-220110000-1-10000001-100
χ686666-3-3-3-3-6-66-3-30000000033000000000000220022000000000000000-2-20-1-10000-1-10000001100
χ696666-3-3-3-3-6-66-3-30000000033000000000000-2-200-2-200000000000000022011000011000000-1-100
χ7088-8-888-8-800000-4-4-4-4444400200-22-2000000000000000000000000000000000000000000000000
χ718-8-888-8-8800000-4-444-444-400200-2-22000000000000000000000000000000000000000000000000
χ721212-12-12-6-66600000000000000000000000000000004i−4i000000000000000000000000−2i2i0000000000
χ731212-12-12-6-6660000000000000000000000000000000−4i4i0000000000000000000000002i−2i0000000000
χ7412-1212-12-66-6600063−630000000000000000000000000000000000000000000000000000000000000000
χ7512-1212-12-66-66000−63630000000000000000000000000000000000000000000000000000000000000000
χ7612-12-1212-666-60000000000000000000000000004-40000000000000000000000-220000000000000000
χ7712-12-1212-666-6000000000000000000000000000-4400000000000000000000002-20000000000000000

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