Finite Group Databasebeta

← Group #13148714

Character table — Group #13148714

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11112222444446666666688121212121212121218181818181824242424242424242424363636363636363636363636363636363636363636727272727272
order1222366624466336666661212366612121212222222666612121212121222244444466666666121212126612121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1111111111111-1-11-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-1-1
χ31111111111111111111111111111111-1-111-1-11111111111-1-111-1-11-1-1-1-1-1-1-1-11111-1-1-11-1-11-1
χ41111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-11-111-1-1-1-111-1-1-1-111-1-1-11-11
χ5111111111-1-11111111111-1-11111-1-1-1-11111111111-1-1-1-1-1-11-1-1-1-1-111-111111111-1-1-1-1-1-1-1-111
χ6111111111-1-11111111111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11-111-11-1-111111-1-1-1-11111-11-11-1-1
χ7111111111-1-11111111111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-11-1-1111-11-1-1-1-1-1-111-1-1111-1111-1
χ8111111111-1-11111111111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11111-1-11-1-1-1-1-111-1-111-1-1111-1-11
χ911111111-11-1-1-1111111111-1111111-1-1111111-1-1-1-11-111-1-1-1-1-1111-1-1-111-1-1111111-1-1-1-111-1-1
χ1011111111-11-1-1-1111111111-1111111-1-111-1-1-1-1-1-1-1-11-111-1-1-1-11-11-111111-1-1-1-1-1-1-1-111-111-111
χ1111111111-11-1-1-1111111111-1111111-1-1-1-111-1-1-1-1-1-11-111-1-111-11-1-1-111-1-111-1-11111111-1-1-1-11
χ1211111111-11-1-1-1111111111-1111111-1-1-1-1-1-111-1-1-1-11-111-1-1111-1-111-1-1-1-11111-1-1-1-1-1-111-111-1
χ1311111111-1-11-1-111111111-111111-1-111111111-1-1-1-1-11-1-111-111-1-1-1-1-1111-1-11111-1-11111-1-1-1-1
χ1411111111-1-11-1-111111111-111111-1-11111-1-1-1-1-1-1-1-1-11-1-111-11-11-1111-111-1-1-1-1-1-111-1-11-1-1111
χ1511111111-1-11-1-111111111-111111-1-111-1-111-1-1-1-1-1-1-11-1-1111-11-111-11-1-1-111-1-111-1-1-1-1-1111-11
χ1611111111-1-11-1-111111111-111111-1-111-1-1-1-111-1-1-1-1-11-1-1111-1-111-11-11-1-11111-1-11111-1-11-11-1
χ1722222222222222-1-122-1-1222-1-1-1-1-1-1220022002-1-1-12-1-1-1-1-1002200200000000-1-1-1-1000-100-10
χ1822222222222222-1-122-1-1222-1-1-1-1-1-12200-2-2002-1-1-12-1-1-1-1-100-2-200-200000000111100010010
χ192222222222222-122-1-122-122-1-1-1-122-1-1000022-12-1-1-12-1-1-1-10000020220000-1-10000-1-1000-10-1
χ202222222222222-122-1-122-122-1-1-1-122-1-10000-2-2-12-1-1-12-1-1-1-100000-20-2-2000011000011000101
χ21222222222-2-2222-1-122-1-12-2-2-1-1-1-111-2-20022002-1-1-1-21111100-2-200200000000-1-111000100-10
χ22222222222-2-2222-1-122-1-12-2-2-1-1-1-111-2-200-2-2002-1-1-1-211111002200-20000000011-1-1000-10010
χ23222222222-2-222-122-1-122-1-2-2-1-1-1-1-2-211000022-12-1-11-2111100000-202-20000-1-100001100010-1
χ24222222222-2-222-122-1-122-1-2-2-1-1-1-1-2-2110000-2-2-12-1-11-211110000020-220000110000-1-1000-101
χ2522222222-22-2-2-22-1-122-1-122-2-1-1-1-1-1-1-2-2002200-211121-1-11100-2200-200000000-1-1-1-100010010
χ2622222222-22-2-2-22-1-122-1-122-2-1-1-1-1-1-1-2-200-2-200-211121-1-111002-2002000000001111000-100-10
χ2722222222-22-2-2-2-122-1-122-12-2-1-1-1-122110000221-211-1-2-1-1110000020-2-20000-1-1000011000-101
χ2822222222-22-2-2-2-122-1-122-12-2-1-1-1-122110000-2-21-211-1-2-1-11100000-20220000110000-1-100010-1
χ2922222222-2-22-2-22-1-122-1-12-22-1-1-1-11122002200-2111-2-111-1-1002-200-200000000-1-111000-10010
χ3022222222-2-22-2-22-1-122-1-12-22-1-1-1-1112200-2-200-2111-2-111-1-100-220020000000011-1-1000100-10
χ3122222222-2-22-2-2-122-1-122-1-22-1-1-1-1-2-2-1-10000221-2111211-1-100000-20-220000-1-10000-1-1000101
χ3222222222-2-22-2-2-122-1-122-1-22-1-1-1-1-2-2-1-10000-2-21-2111211-1-100000202-2000011000011000-10-1
χ332-2-2222-2-20000022-2-2-22-22002-22-200002-22-22-200000000000000000002-2002-22-20000000000
χ342-2-2222-2-20000022-2-2-22-22002-22-200002-2-22-2200000000000000000002-200-22-220000000000
χ352-2-2222-2-20000022-2-2-22-22002-22-20000-222-2-220000000000000000000-2200-222-20000000000
χ362-2-2222-2-20000022-2-2-22-22002-22-20000-22-222-20000000000000000000-22002-2-220000000000
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
χ4144-4-44-44-40000044-44-4-44-4004-4-4400000000000000000000000000000000000000000000000
χ4244-4-44-44-4000004-224-42-2-400-222-20000000000000000000000000000000000000−2i32i300000000
χ4344-4-44-44-4000004-224-42-2-400-222-200000000000000000000000000000000000002i3−2i300000000
χ4444-4-44-44-400000-24-4-22-44200-222-200000000000000000000000000000000000000023−23000000
χ4544-4-44-44-400000-24-4-22-44200-222-2000000000000000000000000000000000000000−2323000000
χ464-44-44-4-4400000444-44-4-4-40044-4-400000000000000000000000000000000000000000000000
χ474-44-44-4-44000004-2-2-4422-400-2-22223−230000000000000023−2300000000000000000000000000000
χ484-44-44-4-44000004-2-2-4422-400-2-222−232300000000000000−232300000000000000000000000000000
χ494-44-44-4-4400000-2442-2-4-4200-2-2220023−230000000000000023−23000000000000000000000000000
χ504-44-44-4-4400000-2442-2-4-4200-2-22200−232300000000000000−2323000000000000000000000000000
χ514-44-44-4-4400000-2-2-22-22220011-1-123−2323−23000000003-300−33−33000000000000000000000000000
χ524-44-44-4-4400000-2-2-22-22220011-1-123−23−232300000000-3300−333−3000000000000000000000000000
χ534-44-44-4-4400000-2-2-22-22220011-1-1−232323−2300000000-33003−3−33000000000000000000000000000
χ544-44-44-4-4400000-2-2-22-22220011-1-1−2323−2323000000003-3003−33−3000000000000000000000000000
χ554-4-4444-4-4000004-22-4-4-22400-22-220000004-4000000000000000000000000000-220000000000
χ564-4-4444-4-4000004-22-4-4-22400-22-22000000-440000000000000000000000000002-20000000000
χ574-4-4444-4-400000-24-4224-4-200-22-22000000004-400000000000000000000000-22000000000000
χ584-4-4444-4-400000-24-4224-4-200-22-2200000000-44000000000000000000000002-2000000000000
χ596666-3-3-3-3666-3-300000000-3-3000000002200000000000000220020000-1-1-1-100000000-10-1000
χ606666-3-3-3-3666-3-300000000-3-300000000-2-200000000000000-2-200-20000111100000000101000
χ616666-3-3-3-36-6-6-3-300000000330000000022000000000000002-200-20000-1-1-1-100000000101000
χ626666-3-3-3-36-6-6-3-3000000003300000000-2-200000000000000-220020000111100000000-10-1000
χ636666-3-3-3-3-66-63300000000-33000000002200000000000000-2-20020000-1-1110000000010-1000
χ646666-3-3-3-3-66-63300000000-3300000000-2-2000000000000002200-2000011-1-100000000-101000
χ656666-3-3-3-3-6-6633000000003-3000000002200000000000000-2200-20000-1-11100000000-101000
χ666666-3-3-3-3-6-6633000000003-300000000-2-2000000000000002-2002000011-1-10000000010-1000
χ6788-8-88-88-800000-4-44-444-44002-2-2200000000000000000000000000000000000000000000000
χ688-8-8888-8-800000-4-4444-44-4002-22-200000000000000000000000000000000000000000000000
χ691212-12-12-66-6600000000000000000000000000000000000000000000000000−2i32i300000000000000
χ701212-12-12-66-66000000000000000000000000000000000000000000000000002i3−2i300000000000000
χ7112-1212-12-666-6000−6i36i30000000000000000000000000000000000000000000000000000000000000
χ7212-1212-12-666-60006i3−6i30000000000000000000000000000000000000000000000000000000000000
χ7312-12-1212-6-666000000000000000000000004-400000000000000000000000-220000000000000000
χ7412-12-1212-6-66600000000000000000000000-44000000000000000000000002-20000000000000000

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