Finite Group Databasebeta

← Group #13148725

Character table — Group #13148725

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11112222444446666666688121212121212121218181818181824242424242424242424363636363636363636363636363636363636363636727272727272
order122236662446633666666121236661212121222444466661212121212122224444446612121212121212121212666121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-111111111111-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-11-11-1
χ31111111111111111111111111111111-1-111-1-11111111111-11-1-1-111-1-1-1-1-1-1-1-111-1-111-11-1-1-11
χ41111111111111111111111111111111-1-1-1-1111111111111-1-11-1-1-1-111-1-11111-1-1-1-1-1-11-1-11-1-1
χ5111111111-1-11111111111-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-11-11-111111111-1-1-1-1-1-1-1-111
χ6111111111-1-11111111111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1111-1-11-1111-1-1-1-1-1-1-1-11111-111-1
χ7111111111-1-11111111111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11-11-111-1-11-1-1-1-1-1-11111-1-11-111-11
χ8111111111-1-11111111111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11-111-1-1-11111-1-11111-111-1-1-1
χ911111111-11-1-1-1111111111-1111111-1-1111111-1-1-1-11-111-1-11-1-1-1-1-11-111111-1-111-1-111-1-111-1-1
χ1011111111-11-1-1-1111111111-1111111-1-111-1-1-1-1-1-1-1-11-111-1-1111-1-11-11-111-1-111-1-1-1-1-1-1111-1-11
χ1111111111-11-1-1-1111111111-1111111-1-1-1-111-1-1-1-1-1-11-111-1-1-1-1111-111-1-1-1-1-1111111111-1-1-11-1
χ1211111111-11-1-1-1111111111-1111111-1-1-1-1-1-111-1-1-1-11-111-1-1-11-1111-1-11-1-111-1-1-1-111-1-1-11-1111
χ1311111111-1-11-1-111111111-111111-1-111111111-1-1-1-1-11-1-111-111-11-1-1-1-11111-1-11111-1-111-1-1-1-1
χ1411111111-1-11-1-111111111-111111-1-11111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11111111-1-111-1-11111-1-1-11-11
χ1511111111-1-11-1-111111111-111111-1-111-1-111-1-1-1-1-1-1-11-1-11111-11-1-1-111-1-1-1-11111-1-1-1-1-11111-1
χ1611111111-1-11-1-111111111-111111-1-111-1-1-1-111-1-1-1-1-11-1-1111-111-111-1-1-1-111-1-1-1-1-1-1111-11-111
χ1722222222222222-1-122-1-1222-1-1-1-122-1-12200002-1-1-1-12-1-1-1-1200220000-1-1000000-1-10000-10-10
χ1822222222222222-1-122-1-1222-1-1-1-122-1-1-2-200002-1-1-1-12-1-1-1-1-200-2-20000110000001100001010
χ192222222222222-122-1-122-122-1-1-1-1-1-122002200-12-1-12-1-1-1-1-1020002200000000-1-100-1-10-1000-1
χ202222222222222-122-1-122-122-1-1-1-1-1-12200-2-200-12-1-12-1-1-1-1-10-2000-2-200000000110011010001
χ21222222222-2-2222-1-122-1-12-2-2-1-1-1-1-2-2112200002-1-1-11-21111-2002-20000-1-100000011000010-10
χ22222222222-2-2222-1-122-1-12-2-2-1-1-1-1-2-211-2-200002-1-1-11-21111200-22000011000000-1-10000-1010
χ23222222222-2-222-122-1-122-1-2-2-1-1-1-111-2-2002200-12-1-1-2111110-20002-200000000-1-1001101000-1
χ24222222222-2-222-122-1-122-1-2-2-1-1-1-111-2-200-2-200-12-1-1-21111102000-22000000001100-1-10-10001
χ2522222222-22-2-2-22-1-122-1-122-2-1-1-1-12211220000-2111-1-2-1-111200-2-20000-1-1000000110000-1010
χ2622222222-22-2-2-22-1-122-1-122-2-1-1-1-12211-2-20000-2111-1-2-1-111-20022000011000000-1-1000010-10
χ2722222222-22-2-2-2-122-1-122-12-2-1-1-1-1-1-1-2-20022001-21121-1-1110-2000-2200000000-1-100-1-1010001
χ2822222222-22-2-2-2-122-1-122-12-2-1-1-1-1-1-1-2-200-2-2001-21121-1-111020002-2000000001100110-1000-1
χ2922222222-2-22-2-22-1-122-1-12-22-1-1-1-1-2-2-1-1220000-21111211-1-1-200-220000-1-1000000-1-100001010
χ3022222222-2-22-2-22-1-122-1-12-22-1-1-1-1-2-2-1-1-2-20000-21111211-1-12002-2000011000000110000-10-10
χ3122222222-2-22-2-2-122-1-122-1-22-1-1-1-111220022001-211-2-111-1-102000-2-200000000-1-100110-10001
χ3222222222-2-22-2-2-122-1-122-1-22-1-1-1-1112200-2-2001-211-2-111-1-10-200022000000001100-1-101000-1
χ3322-2-222-2-20000022-22-22-2-2002-22-200002-22i−2i2i−2i00000000000000000002-22i−2i002i−2i0000000000
χ3422-2-222-2-20000022-22-22-2-2002-22-200002-2−2i2i−2i2i00000000000000000002-2−2i2i00−2i2i0000000000
χ3522-2-222-2-20000022-22-22-2-2002-22-20000-222i−2i−2i2i0000000000000000000-22−2i2i002i−2i0000000000
χ3622-2-222-2-20000022-22-22-2-2002-22-20000-22−2i2i2i−2i0000000000000000000-222i−2i00−2i2i0000000000
χ374444444444444-2-2-2-2-2-2-2-2441111-2-2-2-2000000-2-211-2-21111000000000000000000000000000
χ38444444444-4-444-2-2-2-2-2-2-2-2-4-411112222000000-2-21122-1-1-1-1000000000000000000000000000
χ3944444444-44-4-4-4-2-2-2-2-2-2-2-24-41111-2-22200000022-1-1-2211-1-1000000000000000000000000000
χ4044444444-4-44-4-4-2-2-2-2-2-2-2-2-44111122-2-200000022-1-12-2-1-111000000000000000000000000000
χ4144-4-444-4-4000004-224-4-22-400-22-2200004-400000000000000000000000-220000000000000000
χ4244-4-444-4-4000004-224-4-22-400-22-220000-44000000000000000000000002-20000000000000000
χ4344-4-444-4-400000-24-4-224-4200-22-220000004i−4i000000000000000000000000000−2i2i0000000000
χ4444-4-444-4-400000-24-4-224-4200-22-22000000−4i4i0000000000000000000000000002i−2i0000000000
χ454-44-44-44-40000044-4-4-4-444004-4-4400000000000000000000000000000000000000000000000
χ464-44-44-44-4000004-22-4-42-2400-222-20000000000000000000000000000000000000−2i32i300000000
χ474-44-44-44-4000004-22-4-42-2400-222-200000000000000000000000000000000000002i3−2i300000000
χ484-44-44-44-400000-24-422-44-200-222-2000000000000000000000000000000000000000−2i32i3000000
χ494-44-44-44-400000-24-422-44-200-222-20000000000000000000000000000000000000002i3−2i3000000
χ504-4-444-4-4400000444-44-4-4-40044-4-400000000000000000000000000000000000000000000000
χ514-4-444-4-44000004-2-2-4422-400-2-2220023−230000000000000023−23000000000000000000000000000
χ524-4-444-4-44000004-2-2-4422-400-2-22200−232300000000000000−2323000000000000000000000000000
χ534-4-444-4-4400000-2442-2-4-4200-2-22223−230000000000000023−2300000000000000000000000000000
χ544-4-444-4-4400000-2442-2-4-4200-2-222−232300000000000000−232300000000000000000000000000000
χ554-4-444-4-4400000-2-2-22-22220011-1-123−2323−23000000003-300−33−33000000000000000000000000000
χ564-4-444-4-4400000-2-2-22-22220011-1-123−23−232300000000-3300−333−3000000000000000000000000000
χ574-4-444-4-4400000-2-2-22-22220011-1-1−232323−2300000000-33003−3−33000000000000000000000000000
χ584-4-444-4-4400000-2-2-22-22220011-1-1−2323−2323000000003-3003−33−3000000000000000000000000000
χ596666-3-3-3-3666-3-300000000-3-300000000000022000000000000200002200-1-1-1-1000000-100-100
χ606666-3-3-3-3666-3-300000000-3-3000000000000-2-2000000000000-20000-2-2001111000000100100
χ616666-3-3-3-36-6-6-3-3000000003300000000000022000000000000-200002-200-1-1-1-1000000100100
χ626666-3-3-3-36-6-6-3-30000000033000000000000-2-200000000000020000-22001111000000-100-100
χ636666-3-3-3-3-66-63300000000-3300000000000022000000000000-20000-2200-1-111000000100-100
χ646666-3-3-3-3-66-63300000000-33000000000000-2-2000000000000200002-20011-1-1000000-100100
χ656666-3-3-3-3-6-6633000000003-30000000000002200000000000020000-2-200-1-111000000-100100
χ666666-3-3-3-3-6-6633000000003-3000000000000-2-2000000000000-20000220011-1-1000000100-100
χ6788-8-888-8-800000-4-44-44-444002-22-200000000000000000000000000000000000000000000000
χ688-88-88-88-800000-4-44444-4-4002-2-2200000000000000000000000000000000000000000000000
χ691212-12-12-6-6660000000000000000000000000004i−4i000000000000000000000−2i2i00000000000000
χ701212-12-12-6-666000000000000000000000000000−4i4i0000000000000000000002i−2i00000000000000
χ7112-1212-12-66-66000000000000000000000000000000000000000000000000000023−23000000000000
χ7212-1212-12-66-660000000000000000000000000000000000000000000000000000−2323000000000000
χ7312-12-1212-666-6000−6i36i30000000000000000000000000000000000000000000000000000000000000
χ7412-12-1212-666-60006i3−6i30000000000000000000000000000000000000000000000000000000000000

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