Finite Group Databasebeta

← Group #13148486

Character table — Group #13148486

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11112222444446666666688121212121212121218181818181824242424242424242424363636363636363636363636363636363636363636727272727272
order12223666244663366666612123666121212124444446666121212121212224444444661212121212121212121261212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-11111111111-1-111-11-1-1-1-1-1-1-1-1-111-1-111-1-1-11-11
χ31111111111111111111111111111111-1-111-1-1111111111111-1-1-1-11-1-111-1-1-1-1-1-111-1-11-1-1-11-1
χ41111111111111111111111111111111-1-1-1-1111111111111-1-1-1-11-1-111-1-11111-1-1-1-1-1-1-111-1-1-1
χ5111111111-1-11111111111-1-11111-1-1-1-11111111111-1-1-1-1-1-11-1-1-1-11-11-1-1-11111-1-111111-1-11-1-1
χ6111111111-1-11111111111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-11-1-1111-1111-1-1-1-1-1-1-1-111-11111-1
χ7111111111-1-11111111111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11-1111-1-1-11-1-1-1-1-1-11111-1-1111-1-11
χ8111111111-1-11111111111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1111-1-111-111111111-1-1-1-1-1-1-1-111
χ911111111-11-1-1-1111111111-1111111-1-1111111-1-1-1-11-111-1-1-111-1-1-1-1-111111-1-1-1-11111-1-11-1-11
χ1011111111-11-1-1-1111111111-1111111-1-111-1-1-1-1-1-1-1-11-111-1-11-11-11-111-1-1-1-1-111-1-1-1-11111-1-111
χ1111111111-11-1-1-1111111111-1111111-1-1-1-111-1-1-1-1-1-11-111-1-1-11-1111-11-111-1-1111111-1-1-11-11-1-1
χ1211111111-11-1-1-1111111111-1111111-1-1-1-1-1-111-1-1-1-11-111-1-11-1-11-111-11-1-111-1-111-1-1-1-11-1111-1
χ1311111111-1-11-1-111111111-111111-1-111111111-1-1-1-1-11-1-111-1-1-111-11-1-1-1-111-1-1111111-11-1-11-1
χ1411111111-1-11-1-111111111-111111-1-11111-1-1-1-1-1-1-1-1-11-1-11111-11-1-1-11111-1-11111-1-1111-11-1-1-1
χ1511111111-1-11-1-111111111-111111-1-111-1-111-1-1-1-1-1-1-11-1-111-1-11-1-11111-1-1-1-111-1-111-1-1-1-11111
χ1611111111-1-11-1-111111111-111111-1-111-1-1-1-111-1-1-1-1-11-1-111111-111-1-1-11111-1-1-1-1-1-1-1-111-11-11
χ1722222222222222-1-122-1-1222-1-1-1-1-1-1220022002-1-1-12-1-1-1-1-1220000200-1-1000000-1-100-1000-10
χ1822222222222222-1-122-1-1222-1-1-1-1-1-12200-2-2002-1-1-12-1-1-1-1-1-2-20000-200110000001100100010
χ192222222222222-122-1-122-122-1-1-1-122-1-1220000-12-1-1-12-1-1-1-1002202000000000-1-100-1-1000-10-1
χ202222222222222-122-1-122-122-1-1-1-122-1-1-2-20000-12-1-1-12-1-1-1-100-2-20-2000000000110011000101
χ21222222222-2-2222-1-122-1-12-2-2-1-1-1-111-2-20022002-1-1-1-2111112-20000-20011000000-1-100-100010
χ22222222222-2-2222-1-122-1-12-2-2-1-1-1-111-2-200-2-2002-1-1-1-211111-220000200-1-100000011001000-10
χ23222222222-2-222-122-1-122-1-2-2-1-1-1-1-2-211220000-12-1-11-2111100-2-2020000000001100-1-1000-101
χ24222222222-2-222-122-1-122-1-2-2-1-1-1-1-2-211-2-20000-12-1-11-2111100220-2000000000-1-1001100010-1
χ2522222222-22-2-2-22-1-122-1-122-2-1-1-1-1-1-1-2-2002200-211121-1-111-220000-200-1-1000000-1-100100010
χ2622222222-22-2-2-22-1-122-1-122-2-1-1-1-1-1-1-2-200-2-200-211121-1-1112-20000200110000001100-1000-10
χ2722222222-22-2-2-2-122-1-122-12-2-1-1-1-122112200001-211-1-2-1-111002-20-20000000001100-1-100010-1
χ2822222222-22-2-2-2-122-1-122-12-2-1-1-1-12211-2-200001-211-1-2-1-11100-2202000000000-1-10011000-101
χ2922222222-2-22-2-22-1-122-1-12-22-1-1-1-11122002200-2111-2-111-1-1-2-2000020011000000-1-1001000-10
χ3022222222-2-22-2-22-1-122-1-12-22-1-1-1-1112200-2-200-2111-2-111-1-1220000-200-1-10000001100-100010
χ3122222222-2-22-2-2-122-1-122-1-22-1-1-1-1-2-2-1-12200001-2111211-1-100-220-2000000000-1-100-1-1000101
χ3222222222-2-22-2-2-122-1-122-1-22-1-1-1-1-2-2-1-1-2-200001-2111211-1-1002-202000000000110011000-10-1
χ332-22-22-22-20000022-22-22-2-2002-22-200002i−2i2-22i−2i0000000000000000000002i−2i00002-22i−2i000000
χ342-22-22-22-20000022-22-22-2-2002-22-200002i−2i-22−2i2i000000000000000000000−2i2i0000-222i−2i000000
χ352-22-22-22-20000022-22-22-2-2002-22-20000−2i2i2-2−2i2i000000000000000000000−2i2i00002-2−2i2i000000
χ362-22-22-22-20000022-22-22-2-2002-22-20000−2i2i-222i−2i0000000000000000000002i−2i0000-22−2i2i000000
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
χ4144-4-444-4-400000444-4-4-4-440044-4-400000000000000000000000000000000000000000000000
χ4244-4-444-4-4000004-2-2-4-422400-2-22223−230000000000000023−2300000000000000000000000000000
χ4344-4-444-4-4000004-2-2-4-422400-2-222−232300000000000000−232300000000000000000000000000000
χ4444-4-444-4-400000-24422-4-4-200-2-2220023−230000000000000023−23000000000000000000000000000
χ4544-4-444-4-400000-24422-4-4-200-2-22200−232300000000000000−2323000000000000000000000000000
χ4644-4-444-4-400000-2-2-22222-20011-1-123−2323−23000000003-300−33−33000000000000000000000000000
χ4744-4-444-4-400000-2-2-22222-20011-1-123−23−232300000000-3300−333−3000000000000000000000000000
χ4844-4-444-4-400000-2-2-22222-20011-1-1−232323−2300000000-33003−3−33000000000000000000000000000
χ4944-4-444-4-400000-2-2-22222-20011-1-1−2323−2323000000003-3003−33−3000000000000000000000000000
χ504-44-44-44-4000004-224-4-22-400-22-220000004-400000000000000000000000000000-2200000000
χ514-44-44-44-4000004-224-4-22-400-22-22000000-44000000000000000000000000000002-200000000
χ524-44-44-44-400000-24-4-224-4200-22-2200004i−4i000000000000000000000000000000000−2i2i000000
χ534-44-44-44-400000-24-4-224-4200-22-220000−4i4i0000000000000000000000000000000002i−2i000000
χ544-4-444-4-440000044-4-44-44-4004-4-4400000000000000000000000000000000000000000000000
χ554-4-444-4-44000004-22-442-2-400-222-200000000000000000000000000000−2i32i30000000000000000
χ564-4-444-4-44000004-22-442-2-400-222-2000000000000000000000000000002i3−2i30000000000000000
χ574-4-444-4-4400000-24-42-2-44200-222-20000000000000000000000000000000000023−230000000000
χ584-4-444-4-4400000-24-42-2-44200-222-200000000000000000000000000000000000−23230000000000
χ596666-3-3-3-3666-3-300000000-3-300000000000022000000000000002002200-1-1-1-10000000-1-1000
χ606666-3-3-3-3666-3-300000000-3-3000000000000-2-200000000000000-200-2-2001111000000011000
χ616666-3-3-3-36-6-6-3-300000000330000000000002200000000000000-2002-200-1-1-1-1000000011000
χ626666-3-3-3-36-6-6-3-30000000033000000000000-2-200000000000000200-220011110000000-1-1000
χ636666-3-3-3-3-66-63300000000-330000000000002200000000000000-200-2200-1-11100000001-1000
χ646666-3-3-3-3-66-63300000000-33000000000000-2-2000000000000002002-20011-1-10000000-11000
χ656666-3-3-3-3-6-6633000000003-30000000000002200000000000000200-2-200-1-1110000000-11000
χ666666-3-3-3-3-6-6633000000003-3000000000000-2-200000000000000-200220011-1-100000001-1000
χ678-88-88-88-800000-4-44-44-444002-22-200000000000000000000000000000000000000000000000
χ688-8-888-8-8800000-4-444-44-44002-2-2200000000000000000000000000000000000000000000000
χ691212-12-12-6-666000−6i36i30000000000000000000000000000000000000000000000000000000000000
χ701212-12-12-6-6660006i3−6i30000000000000000000000000000000000000000000000000000000000000
χ7112-1212-12-66-660000000000000000000000000004i−4i000000000000000000000−2i2i00000000000000
χ7212-1212-12-66-66000000000000000000000000000−4i4i0000000000000000000002i−2i00000000000000
χ7312-12-1212-666-60000000000000000000000000000000000000000000000000000−2i32i3000000000000
χ7412-12-1212-666-600000000000000000000000000000000000000000000000000002i3−2i3000000000000

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