Finite Group Databasebeta

← Group #13149437

Character table — Group #13149437

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11112222444446666666688121212121212121218181818181824242424242424242424363636363636363636363636363636363636363636727272727272
order122236664441212336666661212366612121212224444121212121212121212124444444446612121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-11-1-11
χ31111111111111111111111111111111-1-111-1-11111111111-111-1-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1
χ41111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1111-1-11111-1-1-1-1-1-111-1-1-1-1
χ5111111111-1-11111111111-1-11111-1-1-1-11111111-11-111-1-1-1-1-11-11-1-11-1-111111111-1-1-1-1-1-1-1-111
χ6111111111-1-11111111111-1-11111-1-1-1-111-1-1-1-11-11-111-1-1-1-1-1-111-11-11111-1-1-1-1-1-111-1-111-11-11
χ7111111111-1-11111111111-1-11111-1-1-1-1-1-111-1-11-11-111-1-1-1-111-1-11-1-111-1-1-1-1-1-111-1-111111-11-1
χ8111111111-1-11111111111-1-11111-1-1-1-1-1-1-1-1111-11-111-1-1-1-11-11-1111-1-1-1-11111-1-11111-1-111-1-1
χ911111111-11-1-1-1111111111-1111111-1-1111111-1-1-11-1-111-1-11-11-1-1-1-11-11111-1-11111-1-11-11-1-1-1
χ1011111111-11-1-1-1111111111-1111111-1-111-1-1-1-1-1-1-11-1-111-1-111-1-1-111-1111-1-111-1-1-1-1-1-1-11111-1
χ1111111111-11-1-1-1111111111-1111111-1-1-1-111-1-1-1-1-11-1-111-1-1-1-1111-11-11-1-1-1-111111111-11-1-1-11
χ1211111111-11-1-1-1111111111-1111111-1-1-1-1-1-111-1-1-11-1-111-1-1-11-1111-11-1-1-111-1-1-1-1-1-1111-1-1111
χ1311111111-1-11-1-111111111-111111-1-111111111-11-1-1-1-1-1-111-1-1-1-111-1-111111-1-111-1-111-11-11-1-1
χ1411111111-1-11-1-111111111-111111-1-11111-1-1-1-1-11-1-1-1-1-1-111-111-11-111-111-1-111-1-111111-1-1-11-1
χ1511111111-1-11-1-111111111-111111-1-111-1-111-1-1-11-1-1-1-1-1-1111-1-11-1111-1-1-1-1-11111-1-1-1-11-111-11
χ1611111111-1-11-1-111111111-111111-1-111-1-1-1-111-11-1-1-1-1-1-1111111-1-1-1-11-1-111-1-1-1-111-1-1-111-111
χ1722222222222222-1-12-122-122-1-1-1-122-1-1220000-122-1-1-1-1-1-1-1200220000-1-100000000-1-100-100-1
χ1822222222222222-1-12-122-122-1-1-1-122-1-1-2-20000-122-1-1-1-1-1-1-1-200-2-20000110000000011001001
χ192222222222222-122-12-1-1222-1-1-1-1-1-1220022002-1-12-1-1-1-1-1-1022002000000000-1-1-1-100000-1-10
χ202222222222222-122-12-1-1222-1-1-1-1-1-12200-2-2002-1-12-1-1-1-1-1-10-2-200-2000000000111100000110
χ21222222222-2-2222-1-12-122-1-2-2-1-1-1-1-2-211220000-1-221-1-11111-2002-20000-1-1000000001100100-1
χ22222222222-2-2222-1-12-122-1-2-2-1-1-1-1-2-211-2-20000-1-221-1-11111200-2200001100000000-1-100-1001
χ23222222222-2-222-122-12-1-12-2-2-1-1-1-111-2-200220021-1-2-1-1111102-200-2000000000-1-111000001-10
χ24222222222-2-222-122-12-1-12-2-2-1-1-1-111-2-200-2-20021-1-2-1-111110-2200200000000011-1-100000-110
χ2522222222-22-2-2-22-1-12-122-12-2-1-1-1-122112200001-2-2-111-1-111200-2-20000-1-1000000001100-1001
χ2622222222-22-2-2-22-1-12-122-12-2-1-1-1-12211-2-200001-2-2-111-1-111-2002200001100000000-1-100100-1
χ2722222222-22-2-2-2-122-12-1-122-2-1-1-1-1-1-1-2-2002200-211211-1-1110-2200-2000000000-1-1-1-100000110
χ2822222222-22-2-2-2-122-12-1-122-2-1-1-1-1-1-1-2-200-2-200-211211-1-11102-2002000000000111100000-1-10
χ2922222222-2-22-2-22-1-12-122-1-22-1-1-1-1-2-2-1-122000012-211111-1-1-200-220000-1-100000000-1-1001001
χ3022222222-2-22-2-22-1-12-122-1-22-1-1-1-1-2-2-1-1-2-2000012-211111-1-12002-2000011000000001100-100-1
χ3122222222-2-22-2-2-122-12-1-12-22-1-1-1-11122002200-2-11-21111-1-10-2-2002000000000-1-11100000-110
χ3222222222-2-22-2-2-122-12-1-12-22-1-1-1-1112200-2-200-2-11-21111-1-102200-200000000011-1-1000001-10
χ3322-2-22-22-2000002222-2-2-2-20022-2-200002-22-22-200000000000000000002-22-2002-20000000000
χ3422-2-22-22-2000002222-2-2-2-20022-2-200002-2-22-2200000000000000000002-2-2200-220000000000
χ3522-2-22-22-2000002222-2-2-2-20022-2-20000-222-2-220000000000000000000-22-22002-20000000000
χ3622-2-22-22-2000002222-2-2-2-20022-2-20000-22-222-20000000000000000000-222-200-220000000000
χ374444444444444-2-2-2-2-2-2-2-2441111-2-2-2-2000000-2-2-2-2111111000000000000000000000000000
χ38444444444-4-444-2-2-2-2-2-2-2-2-4-411112222000000-22-2211-1-1-1-1000000000000000000000000000
χ3944444444-44-4-4-4-2-2-2-2-2-2-2-24-41111-2-222000000222-2-1-111-1-1000000000000000000000000000
χ4044444444-4-44-4-4-2-2-2-2-2-2-2-2-44111122-2-20000002-222-1-1-1-111000000000000000000000000000
χ4144-4-44-44-4000004-2-242-4-4200-2-22200004-400000000000000000000000-220000000000000000
χ4244-4-44-44-4000004-2-242-4-4200-2-2220000-44000000000000000000000002-20000000000000000
χ4344-4-44-44-400000-244-2-422-400-2-2220000004-4000000000000000000000000000-220000000000
χ4444-4-44-44-400000-244-2-422-400-2-222000000-440000000000000000000000000002-20000000000
χ454-44-444-4-40000044-4-44-44-4004-44-400000000000000000000000000000000000000000000000
χ464-44-444-4-4000004-22-4-2-44200-22-220023−230000000000000023−23000000000000000000000000000
χ474-44-444-4-4000004-22-4-2-44200-22-2200−232300000000000000−2323000000000000000000000000000
χ484-44-444-4-400000-24-4242-2-400-22-2223−230000000000000023−2300000000000000000000000000000
χ494-44-444-4-400000-24-4242-2-400-22-22−232300000000000000−232300000000000000000000000000000
χ504-44-444-4-400000-2-222-22-22001-11-123−2323−2300000000003-3−33−33000000000000000000000000000
χ514-44-444-4-400000-2-222-22-22001-11-123−23−23230000000000-33−333−3000000000000000000000000000
χ524-44-444-4-400000-2-222-22-22001-11-1−232323−230000000000-333−3−33000000000000000000000000000
χ534-44-444-4-400000-2-222-22-22001-11-1−2323−232300000000003-33−33−3000000000000000000000000000
χ544-4-444-4-440000044-4-4-44-44004-4-4400000000000000000000000000000000000000000000000
χ554-4-444-4-44000004-22-424-4-200-222-2000000000000000000000000000000000000000−2i32i3000000
χ564-4-444-4-44000004-22-424-4-200-222-20000000000000000000000000000000000000002i3−2i3000000
χ574-4-444-4-4400000-24-42-4-22400-222-2000000000000000000000000000000000000023−2300000000
χ584-4-444-4-4400000-24-42-4-22400-222-20000000000000000000000000000000000000−232300000000
χ596666-3-3-3-3666-3-300000000-3-300000000000022000000000000000022200-1-1-1-1000000-1-10000
χ606666-3-3-3-3666-3-300000000-3-3000000000000-2-20000000000000000-2-2-2001111000000110000
χ616666-3-3-3-36-6-6-3-300000000330000000000002200000000000000002-2-200-1-1-1-1000000110000
χ626666-3-3-3-36-6-6-3-30000000033000000000000-2-20000000000000000-222001111000000-1-10000
χ636666-3-3-3-3-66-63300000000-33000000000000220000000000000000-22-200-1-111000000-110000
χ646666-3-3-3-3-66-63300000000-33000000000000-2-200000000000000002-220011-1-10000001-10000
χ656666-3-3-3-3-6-6633000000003-3000000000000220000000000000000-2-2200-1-1110000001-10000
χ666666-3-3-3-3-6-6633000000003-3000000000000-2-2000000000000000022-20011-1-1000000-110000
χ6788-8-88-88-800000-4-4-4-444440022-2-200000000000000000000000000000000000000000000000
χ688-8-888-8-8800000-4-4444-44-4002-2-2200000000000000000000000000000000000000000000000
χ691212-12-12-66-660000000000000000000000000004-4000000000000000000000-2200000000000000
χ701212-12-12-66-66000000000000000000000000000-440000000000000000000002-200000000000000
χ7112-1212-12-6-666000−6i36i30000000000000000000000000000000000000000000000000000000000000
χ7212-1212-12-6-6660006i3−6i30000000000000000000000000000000000000000000000000000000000000
χ7312-12-1212-666-60000000000000000000000000000000000000000000000000000−2i32i3000000000000
χ7412-12-1212-666-600000000000000000000000000000000000000000000000000002i3−2i3000000000000

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