Finite Group Databasebeta

← Group #13149464

Character table — Group #13149464

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11112222444446666666688121212121212121218181818181824242424242424242424363636363636363636363636363636363636363636727272727272
order1222366644412123366666612123666121212124444441212121212121212121222244444466121212121212121212126612121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-11
χ31111111111111111111111111111111-1-111-1-11111111111-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-111-1-1
χ41111111111111111111111111111111-1-1-1-1111111111111-111-1-11-1-1-111-1-1-1-1-1-111-1-1-11-1-11-1
χ5111111111-1-11111111111-1-11111-1-1-1-11111111-11-111-1-1-1-1-11-11-1-11-1-1-1-111111111-1-1-11-1-1-11
χ6111111111-1-11111111111-1-11111-1-1-1-111-1-1-1-11-11-111-1-1-1-1-1-111-11-11111-1-1-1-111-1-1-1-1-1-11111
χ7111111111-1-11111111111-1-11111-1-1-1-1-1-111-1-11-11-111-1-1-1-11-11-1111-1-1111111-1-1-1-1111-1-1-11-1
χ8111111111-1-11111111111-1-11111-1-1-1-1-1-1-1-1111-11-111-1-1-1-111-1-11-1-111-1-1-1-1-1-1-1-111111111-1-1
χ911111111-11-1-1-1111111111-1111111-1-1111111-1-1-11-1-111-1-1-1-1-1-111-11-1-1-111-1-1111111-1-11-11-1
χ1011111111-11-1-1-1111111111-1111111-1-111-1-1-1-1-1-1-11-1-111-1-1-111-11-11-1111-1-11111-1-111-11-11-1-1
χ1111111111-11-1-1-1111111111-1111111-1-1-1-111-1-1-1-1-11-1-111-1-11111-1-1-11-11111-1-1-1-1-1-1-1-1111-1-11
χ1211111111-11-1-1-1111111111-1111111-1-1-1-1-1-111-1-1-11-1-111-1-11-1-11-111-11-1-1-1-111-1-111-1-11-1-1111
χ1311111111-1-11-1-111111111-111111-1-111111111-11-1-1-1-1-1-1111-11-1-1-1-1-111111-1-11111-1-11-1-11-1-1
χ1411111111-1-11-1-111111111-111111-1-11111-1-1-1-1-11-1-1-1-1-1-11111-1-1-1111-1-1-1-1-11111-1-1-1-1111-11-1
χ1511111111-1-11-1-111111111-111111-1-111-1-111-1-1-11-1-1-1-1-1-111-11-1111-1-11-1-111-1-1-1-1-1-111-11-1111
χ1611111111-1-11-1-111111111-111111-1-111-1-1-1-111-11-1-1-1-1-1-111-1-1111-111-111-1-111-1-11111-1-11-1-11
χ1722222222222222-1-12-12-1222-1-1-1-122-1-1000022-122-1-1-1-1-1-1-1022002000-1-1000000-1-1000-100-10
χ1822222222222222-1-12-12-1222-1-1-1-122-1-10000-2-2-122-1-1-1-1-1-1-10-2-200-2000110000001100010010
χ192222222222222-122-12-12-122-1-1-1-1-1-1222200002-1-12-1-1-1-1-1-1200220000000000-1-100-1-1-10000-1
χ202222222222222-122-12-12-122-1-1-1-1-1-122-2-200002-1-12-1-1-1-1-1-1-200-2-20000000000110011100001
χ21222222222-2-2222-1-12-12-12-2-2-1-1-1-1-2-211000022-1-221-1-1111102-200-200011000000-1-1000-10010
χ22222222222-2-2222-1-12-12-12-2-2-1-1-1-1-2-2110000-2-2-1-221-1-111110-22002000-1-100000011000100-10
χ23222222222-2-222-122-12-12-1-2-2-1-1-1-111-2-222000021-1-2-1-11111-2002-20000000000-1-1001110000-1
χ24222222222-2-222-122-12-12-1-2-2-1-1-1-111-2-2-2-2000021-1-2-1-11111200-2200000000001100-1-1-100001
χ2522222222-22-2-2-22-1-12-12-122-2-1-1-1-122110000221-2-2-111-1-1110-2-200200011000000-1-1000100-10
χ2622222222-22-2-2-22-1-12-12-122-2-1-1-1-122110000-2-21-2-2-111-1-11102200-2000-1-100000011000-10010
χ2722222222-22-2-2-2-122-12-12-12-2-1-1-1-1-1-1-2-2220000-211211-1-111-200-220000000000-1-100-1-1100001
χ2822222222-22-2-2-2-122-12-12-12-2-1-1-1-1-1-1-2-2-2-20000-211211-1-1112002-20000000000110011-10000-1
χ2922222222-2-22-2-22-1-12-12-12-22-1-1-1-1-2-2-1-100002212-211111-1-10-2200-2000-1-1000000-1-100010010
χ3022222222-2-22-2-22-1-12-12-12-22-1-1-1-1-2-2-1-10000-2-212-211111-1-102-20020001100000011000-100-10
χ3122222222-2-22-2-2-122-12-12-1-22-1-1-1-11122220000-2-11-21111-1-1200-2-20000000000-1-10011-100001
χ3222222222-2-22-2-2-122-12-12-1-22-1-1-1-11122-2-20000-2-11-21111-1-1-2002200000000001100-1-110000-1
χ332-22-22-22-20000022-2-22-2-220022-2-200002i−2i2-22i−2i0000000000000000000002-2002i−2i2i−2i00000000
χ342-22-22-22-20000022-2-22-2-220022-2-200002i−2i-22−2i2i000000000000000000000-22002i−2i−2i2i00000000
χ352-22-22-22-20000022-2-22-2-220022-2-20000−2i2i2-2−2i2i0000000000000000000002-200−2i2i−2i2i00000000
χ362-22-22-22-20000022-2-22-2-220022-2-20000−2i2i-222i−2i000000000000000000000-2200−2i2i2i−2i00000000
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
χ4144-4-444-4-400000444-4-44-4-4004-44-400000000000000000000000000000000000000000000000
χ4244-4-444-4-4000004-2-2-4242-400-22-220023−230000000000000023−23000000000000000000000000000
χ4344-4-444-4-4000004-2-2-4242-400-22-2200−232300000000000000−2323000000000000000000000000000
χ4444-4-444-4-400000-2442-4-2-4200-22-2223−230000000000000023−2300000000000000000000000000000
χ4544-4-444-4-400000-2442-4-2-4200-22-22−232300000000000000−232300000000000000000000000000000
χ4644-4-444-4-400000-2-2-222-222001-11-123−2323−2300000000003-3−33−33000000000000000000000000000
χ4744-4-444-4-400000-2-2-222-222001-11-123−23−23230000000000-33−333−3000000000000000000000000000
χ4844-4-444-4-400000-2-2-222-222001-11-1−232323−230000000000-333−3−33000000000000000000000000000
χ4944-4-444-4-400000-2-2-222-222001-11-1−2323−232300000000003-33−33−3000000000000000000000000000
χ504-44-44-44-4000004-22-4-2-42400-2-222000000004i−4i000000000000000000000000000−2i2i00000000
χ514-44-44-44-4000004-22-4-2-42400-2-22200000000−4i4i0000000000000000000000000002i−2i00000000
χ524-44-44-44-400000-24-4242-4-200-2-22200004i−4i00000000000000000000000000000−2i2i0000000000
χ534-44-44-44-400000-24-4242-4-200-2-2220000−4i4i000000000000000000000000000002i−2i0000000000
χ544-4-444-4-440000044-44-4-44-4004-4-4400000000000000000000000000000000000000000000000
χ554-4-444-4-44000004-2242-4-2-400-222-200000000000000000000000000000−2i32i30000000000000000
χ564-4-444-4-44000004-2242-4-2-400-222-2000000000000000000000000000002i3−2i30000000000000000
χ574-4-444-4-4400000-24-4-2-424200-222-200000000000000000000000000000000000000023−23000000
χ584-4-444-4-4400000-24-4-2-424200-222-2000000000000000000000000000000000000000−2323000000
χ596666-3-3-3-3666-3-300000000-3-300000000002200000000000000000022200-1-1-1-100000000-1-100
χ606666-3-3-3-3666-3-300000000-3-30000000000-2-2000000000000000000-2-2-2001111000000001100
χ616666-3-3-3-36-6-6-3-300000000330000000000220000000000000000002-2-200-1-1-1-1000000001100
χ626666-3-3-3-36-6-6-3-300000000330000000000-2-2000000000000000000-22200111100000000-1-100
χ636666-3-3-3-3-66-63300000000-33000000000022000000000000000000-22-200-1-11100000000-1100
χ646666-3-3-3-3-66-63300000000-330000000000-2-20000000000000000002-220011-1-1000000001-100
χ656666-3-3-3-3-6-6633000000003-3000000000022000000000000000000-2-2200-1-111000000001-100
χ666666-3-3-3-3-6-6633000000003-30000000000-2-200000000000000000022-20011-1-100000000-1100
χ678-88-88-88-800000-4-444-444-40022-2-200000000000000000000000000000000000000000000000
χ688-8-888-8-8800000-4-44-444-44002-2-2200000000000000000000000000000000000000000000000
χ691212-12-12-6-666000−6i36i30000000000000000000000000000000000000000000000000000000000000
χ701212-12-12-6-6660006i3−6i30000000000000000000000000000000000000000000000000000000000000
χ7112-1212-12-66-6600000000000000000000000004-400000000000000000000000-2200000000000000
χ7212-1212-12-66-660000000000000000000000000-44000000000000000000000002-200000000000000
χ7312-12-1212-666-60000000000000000000000000000000000000000000000000000−2i32i3000000000000
χ7412-12-1212-666-600000000000000000000000000000000000000000000000000002i3−2i3000000000000

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