Finite Group Databasebeta

← Group #13148485

Character table — Group #13148485

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11112222444446666666688121212121212121218181818181824242424242424242424363636363636363636363636363636363636363636727272727272
order12223666244121233666666612366666121244444466612121212121212444444444121212121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-11111111111-1-111-11-1-1-1-1-1-1-11111-1-1-1-1-1-11-11-1
χ31111111111111111111111111111111-1-111-1-111111111111-1-1-11-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-1
χ41111111111111111111111111111111-1-1-1-1111111111111-11-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-11-11
χ5111111111-1-1-1-1111111111-1111111-1-1111111111-1-1-1-1-1-1-11-11-1-1-1-11-1-1-11111-1-111111-1-1-11-1
χ6111111111-1-1-1-1111111111-1111111-1-111-1-1-1-1111-1-1-1-1-1-1-1-111-11-11-1111-1-111-1-1-1-1-1-1-11-1111
χ7111111111-1-1-1-1111111111-1111111-1-1-1-111-1-1111-1-1-1-1-1-1-111-11-11-1-11-1-111-1-111-1-1-1-11-111-11
χ8111111111-1-1-1-1111111111-1111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111-111-1-1-1-1111111-111-1-1-1
χ911111111-11-11111111111-1-11-1-1111-1-1111111-1-1-111-111-1-1-11-1-1-111-1-1111111-1-111-1-1-1-111-1-1
χ1011111111-11-11111111111-1-11-1-1111-1-111-1-1-1-1-1-1-111-111-1-11-1-1-111-111-1-1-1-111-1-1-1-111111-1-11
χ1111111111-11-11111111111-1-11-1-1111-1-1-1-111-1-1-1-1-111-111-1-1-1-111-1-11111111-1-111-1-111-1-1-1-111
χ1211111111-11-11111111111-1-11-1-1111-1-1-1-1-1-111-1-1-111-111-1-111111-1-1-1-1-1-1-1-1-1-11111-1-111-111-1
χ1311111111-1-11-1-111111111-111-1-111111111111-1-1-1-1-11-1-111-1-1-111-1-1-11-1-111111111-1-1-11-1-1-11
χ1411111111-1-11-1-111111111-111-1-11111111-1-1-1-1-1-1-1-1-11-1-11111-11-1-111-111-1-11111-1-1111-1-11-1-1
χ1511111111-1-11-1-111111111-111-1-111111-1-111-1-1-1-1-1-1-11-1-111-111-111-11-1-1-111-1-1-1-1-1-111-11111-1
χ1611111111-1-11-1-111111111-111-1-111111-1-1-1-111-1-1-1-1-11-1-1111-11-1-111-1111-1-1-1-1-1-111-1-11-11-111
χ1722222222222222-122-1-1-1222-122-1-1-1-1-1220000-1-1-12-12-1-1-1-10022020000000-1-1-1-1000000-10-10
χ1822222222222222-122-1-1-1222-122-1-1-1-1-1-2-20000-1-1-12-12-1-1-1-100-2-20-2000000011110000001010
χ192222222222222-12-1-1222-122-1-1-1-1-1-1220000222-1-1-12-1-1-1-1-102000002200000000-1-1-1-1000-10-1
χ202222222222222-12-1-1222-122-1-1-1-1-1-1220000-2-22-1-1-12-1-1-1-1-10-200000-2-2000000001111000101
χ21222222222-2-2-2-22-122-1-1-122-2-122-1-1-111220000-1-1-1-21-21111002-20-20000000-1-11100000010-10
χ22222222222-2-2-2-22-122-1-1-122-2-122-1-1-111-2-20000-1-1-1-21-2111100-2202000000011-1-1000000-1010
χ23222222222-2-2-2-2-12-1-1222-12-2-1-1-1-1-1-1-2-20000222-1-11-2111110-2000002-200000000-1-1-1-1000101
χ24222222222-2-2-2-2-12-1-1222-12-2-1-1-1-1-1-1-2-20000-2-22-1-11-2111110200000-22000000001111000-10-1
χ2522222222-22-2222-122-1-1-12-2-2-1-2-2-1-1-1112200001112-1-2-1-11100-2-2020000000-1-111000000-1010
χ2622222222-22-2222-122-1-1-12-2-2-1-2-2-1-1-111-2-200001112-1-2-1-11100220-2000000011-1-100000010-10
χ2722222222-22-222-12-1-1222-1-2-2-111-1-1-1-2-2000022-211-121-1-1110200000-2-200000000-1-111000-101
χ2822222222-22-222-12-1-1222-1-2-2-111-1-1-1-2-20000-2-2-211-121-1-1110-200000220000000011-1-100010-1
χ2922222222-2-22-2-22-122-1-1-12-22-1-2-2-1-1-1-1-1220000111-21211-1-100-220-20000000-1-1-1-10000001010
χ3022222222-2-22-2-22-122-1-1-12-22-1-2-2-1-1-1-1-1-2-20000111-21211-1-1002-20200000001111000000-10-10
χ3122222222-2-22-2-2-12-1-1222-1-22-111-1-1-122000022-2111-2-111-1-10-200000-2200000000-1-11100010-1
χ3222222222-2-22-2-2-12-1-1222-1-22-111-1-1-1220000-2-2-2111-2-111-1-102000002-20000000011-1-1000-101
χ332-2-2222-2-20000022-2-22-2-2200200-22-2002i−2i2i−2i2-20000000000000000000002i−2i2i−2i002-200000000
χ342-2-2222-2-20000022-2-22-2-2200200-22-2002i−2i−2i2i-22000000000000000000000−2i2i2i−2i00-2200000000
χ352-2-2222-2-20000022-2-22-2-2200200-22-200−2i2i2i−2i-220000000000000000000002i−2i−2i2i00-2200000000
χ362-2-2222-2-20000022-2-22-2-2200200-22-200−2i2i−2i2i2-2000000000000000000000−2i2i−2i2i002-200000000
χ374444444444444-2-2-2-2-2-2-2-2441-2-2111-2-2000000-211-2-2-21111000000000000000000000000000
χ38444444444-4-4-4-4-2-2-2-2-2-2-2-24-41-2-211122000000-211222-1-1-1-1000000000000000000000000000
χ3944444444-44-444-2-2-2-2-2-2-2-2-4-4122111220000002-1-1-2-2211-1-1000000000000000000000000000
χ4044444444-4-44-4-4-2-2-2-2-2-2-2-2-44122111-2-20000002-1-122-2-1-111000000000000000000000000000
χ4144-4-44-44-40000044-44-44-4-400400-4-44000000000000000000000000000000000000000000000
χ4244-4-44-44-4000004-2-442-22-400-20022-200000000000000000000000000000000023−230000000000
χ4344-4-44-44-4000004-2-442-22-400-20022-2000000000000000000000000000000000−23230000000000
χ4444-4-44-44-400000-242-2-44-4200-20022-2000000000000000000000000000000000000023−23000000
χ4544-4-44-44-400000-242-2-44-4200-20022-20000000000000000000000000000000000000−2323000000
χ464-44-44-4-4400000444-4-4-44-4004004-4-4000000000000000000000000000000000000000000000
χ474-44-44-4-44000004-24-422-2-400-200-22223−230000000000000023−23000000000000000000000000000
χ484-44-44-4-44000004-24-422-2-400-200-222−232300000000000000−2323000000000000000000000000000
χ494-44-44-4-4400000-24-22-4-44200-2−2i32i3-222000000000−2i32i30000000000000000000000000000000000
χ504-44-44-4-4400000-24-22-4-44200-22i3−2i3-2220000000002i3−2i30000000000000000000000000000000000
χ514-44-44-4-4400000-2-2-2222-22001−2i32i31-1-123−230000000i3−i30003i−3i−33000000000000000000000000000
χ524-44-44-4-4400000-2-2-2222-22001−2i32i31-1-1−23230000000i3−i3000−3i3i3−3000000000000000000000000000
χ534-44-44-4-4400000-2-2-2222-220012i3−2i31-1-123−230000000−i3i3000−3i3i−33000000000000000000000000000
χ544-44-44-4-4400000-2-2-2222-220012i3−2i31-1-1−23230000000−i3i30003i−3i3−3000000000000000000000000000
χ554-4-4444-4-4000004-2-4-4-222400-2002-22004i−4i000000000000000000000000000−2i2i000000000000
χ564-4-4444-4-4000004-2-4-4-222400-2002-2200−4i4i0000000000000000000000000002i−2i000000000000
χ574-4-4444-4-400000-24224-4-4-200-2002-220000004-4000000000000000000000000000-2200000000
χ584-4-4444-4-400000-24224-4-4-200-2002-22000000-440000000000000000000000000002-200000000
χ596666-3-3-3-3666-3-300000000-3-3000000000022000000000000200020200-1-1-1-100000000-1-10000
χ606666-3-3-3-3666-3-300000000-3-30000000000-2-2000000000000-2000-20-200111100000000110000
χ616666-3-3-3-36-6-63300000000-330000000000220000000000002000-20-20011-1-100000000-110000
χ626666-3-3-3-36-6-63300000000-330000000000-2-2000000000000-200020200-1-111000000001-10000
χ636666-3-3-3-3-66-6-3-30000000033000000000022000000000000-2000-20200-1-1-1-100000000110000
χ646666-3-3-3-3-66-6-3-300000000330000000000-2-2000000000000200020-200111100000000-1-10000
χ656666-3-3-3-3-6-6633000000003-3000000000022000000000000-200020-20011-1-1000000001-10000
χ666666-3-3-3-3-6-6633000000003-30000000000-2-20000000000002000-20200-1-11100000000-110000
χ6788-8-88-88-800000-4-44-44-44400200-2-22000000000000000000000000000000000000000000000
χ688-8-8888-8-800000-4-444-444-400200-22-2000000000000000000000000000000000000000000000
χ691212-12-12-66-6600000000000000000000000000000000000000000000000023−230000000000000000
χ701212-12-12-66-66000000000000000000000000000000000000000000000000−23230000000000000000
χ7112-1212-12-666-600063−630000000000000000000000000000000000000000000000000000000000000
χ7212-1212-12-666-6000−63630000000000000000000000000000000000000000000000000000000000000
χ7312-12-1212-6-66600000000000000000000000004i−4i00000000000000000000000−2i2i00000000000000
χ7412-12-1212-6-6660000000000000000000000000−4i4i000000000000000000000002i−2i00000000000000

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