Finite Group Databasebeta

← Group #13149424

Character table — Group #13149424

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11112222444446666666688121212121212121218181818181824242424242424242424363636363636363636363636363636363636363636727272727272
order122236664441212336666661212366612121212224444121212121212121212122222444446666661212121212126612121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1111111111111-1-11-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1
χ31111111111111111111111111111111-1-111-1-11111111111-1-11-1-11-11-111-1-1-1-111-1-1-1-1-1-111-1-1
χ41111111111111111111111111111111-1-1-1-1111111111111-1-1-11-1-11-11-1-111-1-1-1-1-1-111-1-1-1-111
χ5111111111-1-1-1-1111111111-1111111-1-1111111-1-11-111-1-1-1-1-1-1-1-1111-1-1-1-1-1-111111111-1-11-11-1
χ6111111111-1-1-1-1111111111-1111111-1-111-1-1-1-1-1-11-111-1-1-1-1-1-1111-1-111111111-1-111-1-1-1-1-11-11
χ7111111111-1-1-1-1111111111-1111111-1-1-1-111-1-1-1-11-111-1-1-1-111-11-11-1-11-1-111-1-111-1-1-1-1111-1-11
χ8111111111-1-1-1-1111111111-1111111-1-1-1-1-1-111-1-11-111-1-1-1-1111-1-1-111-111-1-1-1-1-1-1-1-11111-111-1
χ911111111-11-11111111111-1-11111-1-1-1-11111111-1-11-1-111-1-11-11-1-1-1-1-1111-1-11111-1-1111-1-1-1-11
χ1011111111-11-11111111111-1-11111-1-1-1-111-1-1-1-11-1-11-1-111-1-11-1-11-1111-1-1-11111-1-1-1-1-1-11-1111-1
χ1111111111-11-11111111111-1-11111-1-1-1-1-1-111-1-11-1-11-1-111-1-1-11111-11-1-11111-1-11111-1-1-11-1-11-1
χ1211111111-11-11111111111-1-11111-1-1-1-1-1-1-1-1111-1-11-1-111-1-1-11-1-111-111-1-1-1-1-1-1-1-11111-1111-11
χ1311111111-1-11-1-111111111-111111-1-111111111-11-1-1-1-1-1-111-11-11-1-1-11-1-1-1111111-1-111-11-11-1-1
χ1411111111-1-11-1-111111111-111111-1-11111-1-1-1-1-11-1-1-1-1-1-111-111-1-111-1111-1-111-1-1-1-1-1-1-111-111
χ1511111111-1-11-1-111111111-111111-1-111-1-111-1-1-11-1-1-1-1-1-1111-1-1-11-1111-1-1-1-1-1-11111-1-11-1-1111
χ1611111111-1-11-1-111111111-111111-1-111-1-1-1-111-11-1-1-1-1-1-1111-11111-1-1-11111-1-1-1-111111-11-1-1-1
χ1722222222222222-12-1-12-1222-1-1-1-1-1-122220000-1-122-1-1-1-1-1-12200200000000-1-100-1-100-1-10000
χ1822222222222222-12-1-12-1222-1-1-1-1-1-122-2-20000-1-122-1-1-1-1-1-1-2-200-20000000011001100110000
χ192222222222222-12-122-12-122-1-1-1-122-1-100002222-1-1-1-1-1-1-1-100020020200-1-1000000-1-10000-1-1
χ202222222222222-12-122-12-122-1-1-1-122-1-10000-2-222-1-1-1-1-1-1-1-1000-200-20-2001100000011000011
χ21222222222-2-2-2-22-12-1-12-122-2-1-1-1-1-1-1-2-2220000112-2-1-11111-2-200200000000-1-100-1-100110000
χ22222222222-2-2-2-22-12-1-12-122-2-1-1-1-1-1-1-2-2-2-20000112-2-1-111112200-20000000011001100-1-10000
χ23222222222-2-2-2-2-12-122-12-12-2-1-1-1-12211000022-2-2-11-1-11111000-20020-20011000000-1-10000-11
χ24222222222-2-2-2-2-12-122-12-12-2-1-1-1-122110000-2-2-2-2-11-1-11111000200-20200-1-10000001100001-1
χ2522222222-22-2222-12-1-12-12-2-2-1-1-1-111-2-2220000-11-2211-1-1112-200-200000000-1-1001100-110000
χ2622222222-22-2222-12-1-12-12-2-2-1-1-1-111-2-2-2-20000-11-2211-1-111-22002000000001100-1-1001-10000
χ2722222222-22-222-12-122-12-1-2-2-1-1-1-1-2-2110000222-21-111-1-111000-200-2020011000000-1-100001-1
χ2822222222-22-222-12-122-12-1-2-2-1-1-1-1-2-2110000-2-22-21-111-1-11100020020-200-1-1000000110000-11
χ2922222222-2-22-2-22-12-1-12-12-22-1-1-1-111222200001-1-2-21111-1-1-2200-200000000-1-10011001-10000
χ3022222222-2-22-2-22-12-1-12-12-22-1-1-1-11122-2-200001-1-2-21111-1-12-2002000000001100-1-100-110000
χ3122222222-2-22-2-2-12-122-12-1-22-1-1-1-1-2-2-1-1000022-22111111-1-1000200-20-200-1-1000000-1-1000011
χ3222222222-2-22-2-2-12-122-12-1-22-1-1-1-1-2-2-1-10000-2-2-22111111-1-1000-2002020011000000110000-1-1
χ332-2-222-2-220000022-2-22-2-22002-2-2200002-22-22-2000000000000000000000002-22-2002-2000000
χ342-2-222-2-220000022-2-22-2-22002-2-2200002-2-22-22000000000000000000000002-2-2200-22000000
χ352-2-222-2-220000022-2-22-2-22002-2-220000-222-2-2200000000000000000000000-222-200-22000000
χ362-2-222-2-220000022-2-22-2-22002-2-220000-22-222-200000000000000000000000-22-22002-2000000
χ374444444444444-2-2-2-2-2-2-2-2441111-2-2-2-2000000-2-2-2-2111111000000000000000000000000000
χ38444444444-4-4-4-4-2-2-2-2-2-2-2-24-41111-2-22200000022-2211-1-1-1-1000000000000000000000000000
χ3944444444-44-444-2-2-2-2-2-2-2-2-4-411112222000000-222-2-1-111-1-1000000000000000000000000000
χ4044444444-4-44-4-4-2-2-2-2-2-2-2-2-44111122-2-20000002-222-1-1-1-111000000000000000000000000000
χ4144-4-444-4-4000004444-4-4-4-40044-4-400000000000000000000000000000000000000000000000
χ4244-4-444-4-4000004-24-22-42-400-2-222000000000000000000000000000000000000023−2300000000
χ4344-4-444-4-4000004-24-22-42-400-2-2220000000000000000000000000000000000000−232300000000
χ4444-4-444-4-400000-24-24-42-4200-2-2220000000000000000000000000000000−2i32i300000000000000
χ4544-4-444-4-400000-24-24-42-4200-2-22200000000000000000000000000000002i3−2i300000000000000
χ464-44-44-44-40000044-4-4-444-4004-44-400000000000000000000000000000000000000000000000
χ474-44-44-44-4000004-2-4224-2-400-22-22−2i32i3000000000000−2i32i30000000000000000000000000000000
χ484-44-44-44-4000004-2-4224-2-400-22-222i3−2i30000000000002i3−2i30000000000000000000000000000000
χ494-44-44-44-400000-242-4-4-24200-22-220023−230000000000000023−23000000000000000000000000000
χ504-44-44-44-400000-242-4-4-24200-22-2200−232300000000000000−2323000000000000000000000000000
χ514-44-44-44-400000-2-2222-2-22001-11-1−2i32i323−230000000000i3−i33i−3i−33000000000000000000000000000
χ524-44-44-44-400000-2-2222-2-22001-11-1−2i32i3−23230000000000i3−i3−3i3i3−3000000000000000000000000000
χ534-44-44-44-400000-2-2222-2-22001-11-12i3−2i323−230000000000−i3i3−3i3i−33000000000000000000000000000
χ544-44-44-44-400000-2-2222-2-22001-11-12i3−2i3−23230000000000−i3i33i−3i3−3000000000000000000000000000
χ554-4-444-4-44000004-2-42-2-42400-222-200004-4000000000000000000000000000-22000000000000
χ564-4-444-4-44000004-2-42-2-42400-222-20000-440000000000000000000000000002-2000000000000
χ574-4-444-4-4400000-242-442-4-200-222-2000000004-400000000000000000000000000000-22000000
χ584-4-444-4-4400000-242-442-4-200-222-200000000-44000000000000000000000000000002-2000000
χ596666-3-3-3-3666-3-300000000-3-3000000000022000000000000002002020-1-10000-1-1000000-1-100
χ606666-3-3-3-3666-3-300000000-3-30000000000-2-200000000000000-200-20-20110000110000001100
χ616666-3-3-3-36-6-63300000000-3300000000002200000000000000-20020-20110000-1-1000000-1100
χ626666-3-3-3-36-6-63300000000-330000000000-2-200000000000000200-2020-1-10000110000001-100
χ636666-3-3-3-3-66-6-3-3000000003300000000002200000000000000200-20-20-1-10000-1-10000001100
χ646666-3-3-3-3-66-6-3-300000000330000000000-2-200000000000000-200202011000011000000-1-100
χ656666-3-3-3-3-6-6633000000003-300000000002200000000000000-200-2020110000-1-10000001-100
χ666666-3-3-3-3-6-6633000000003-30000000000-2-20000000000000020020-20-1-1000011000000-1100
χ6788-8-888-8-800000-4-4-4-444440022-2-200000000000000000000000000000000000000000000000
χ688-8-888-8-8800000-4-444-444-4002-2-2200000000000000000000000000000000000000000000000
χ691212-12-12-6-666000000000000000000000000000000000000000000000000−2i32i30000000000000000
χ701212-12-12-6-6660000000000000000000000000000000000000000000000002i3−2i30000000000000000
χ7112-1212-12-66-6600063−630000000000000000000000000000000000000000000000000000000000000
χ7212-1212-12-66-66000−63630000000000000000000000000000000000000000000000000000000000000
χ7312-12-1212-666-600000000000000000000000004-4000000000000000000000000000-220000000000
χ7412-12-1212-666-60000000000000000000000000-440000000000000000000000000002-20000000000

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