Finite Group Databasebeta

← Group #13151307

Character table — Group #13151307

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size1122244446666991212121218181818181818242424242436363636363636363636727211222444466669912121212181818181818182424242424363636363636363636367272
order123462661233662236121246688886666122446612242424241212226462661266662266121246688886666122446612242424241212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-1-1-1111111-1-1111-1-1-1-1-1-11111111111111111111111-1-1-1-1111111-1-1111-1-1-1-1-1-1
χ31111111111111-1-11111-1-1-111-1-111111-11-1-1-1-111-1-11-11111111111111-1-11111-1-1-111-1-111111-11-1-1-1-111-1-11-1
χ41111111111111-1-11111-1-1-1-1-11111111-1-11-1-1-1-1-111-111111111111111-1-11111-1-1-1-1-11111111-1-11-1-1-1-1-111-11
χ511111-1-1-1111111111111111111-1-1-1-11-1-1-1-1-111111-1-111111-1-1-1111111111111111111-1-1-1-11-1-1-1-1-111111-1-1
χ611111-1-1-111111111111111-1-1-1-1-1-1-1-11-111-1-11-1-1-1-11111111-1-1-111111111111111-1-1-1-1-1-1-1-11-111-1-11-1-1-1-111
χ711111-1-1-111111-1-11111-1-1-111-1-1-1-1-1-111-1111-111-1-1-1111111-1-1-111111-1-11111-1-1-111-1-1-1-1-1-111-1111-111-1-1-11
χ811111-1-1-111111-1-11111-1-1-1-1-111-1-1-1-1111-111-1-1-1111-111111-1-1-111111-1-11111-1-1-1-1-111-1-1-1-1111-111-1-1-1111-1
χ92222222222-12-100-1-12-100000222-1-1-1-100200000-1-10-12222222222-12-100-1-12-100000222-1-1-1-100200000-1-10-1
χ102222222222-12-100-1-12-100000-2-22-1-1-1-100-20000011012222222222-12-100-1-12-100000-2-22-1-1-1-100-2000001101
χ11222222222-12-1200-1-1-120002200-12-1-1-1020000-1-100-10222222222-12-1200-1-1-120002200-12-1-1-1020000-1-100-10
χ12222222222-12-1200-1-1-12000-2-200-12-1-1-10-20000110010222222222-12-1200-1-1-12000-2-200-12-1-1-10-20000110010
χ1322222-2-2-222-12-100-1-12-10000022-2111-100-200000-1-10122222-2-2-222-12-100-1-12-10000022-2111-100-200000-1-101
χ1422222-2-2-222-12-100-1-12-100000-2-2-2111-100200000110-122222-2-2-222-12-100-1-12-100000-2-2-2111-100200000110-1
χ1522222-2-2-22-12-1200-1-1-1200022001-211-10-20000-1-1001022222-2-2-22-12-1200-1-1-1200022001-211-10-20000-1-10010
χ1622222-2-2-22-12-1200-1-1-12000-2-2001-211-10200001100-1022222-2-2-22-12-1200-1-1-12000-2-2001-211-10200001100-10
χ17222-22000-222222222-2-2-22200000000-200000-2000000222-22000-222222222-2-2-22200000000-200000-2000000
χ18222-22000-22222-2-222-2-22-2-200000000-2000002000000222-22000-22222-2-222-2-22-2-200000000-2000002000000
χ192-220-2000022-2-22-22-20002-2−i2i2−i2i200000000000−i2i2−i2i2002-220-2000022-2-22-22-20002-2−i2i2−i2i200000000000−i2i2−i2i200
χ202-220-2000022-2-22-22-20002-2i2−i2i2−i200000000000i2−i2i2−i2002-220-2000022-2-22-22-20002-2i2−i2i2−i200000000000i2−i2i2−i200
χ212-220-2000022-2-2-222-2000-22−i2i2i2−i200000000000−i2i2i2−i2002-220-2000022-2-2-222-2000-22−i2i2i2−i200000000000−i2i2i2−i200
χ222-220-2000022-2-2-222-2000-22i2−i2−i2i200000000000i2−i2−i2i2002-220-2000022-2-2-222-2000-22i2−i2−i2i200000000000i2−i2−i2i200
χ23444444444-2-2-2-20011-2-20000000-2-2111000000000000444444444-2-2-2-20011-2-20000000-2-2111000000000000
χ2444444-4-4-44-2-2-2-20011-2-2000000022-1-1100000000000044444-4-4-44-2-2-2-20011-2-2000000022-1-11000000000000
χ25444-44000-44-24-200-2-2-42000000000002000000000000444-44000-44-24-200-2-2-42000000000002000000000000
χ26444-44000-4-24-2400-2-22-4000000000002000000000000444-44000-4-24-2400-2-22-4000000000002000000000000
χ27444-44000-4-2-2-2-20011220000000003-3-1000000000000444-44000-4-2-2-2-20011220000000003-3-1000000000000
χ28444-44000-4-2-2-2-2001122000000000-33-1000000000000444-44000-4-2-2-2-2001122000000000-33-1000000000000
χ294-440-400004-2-4200-220000000−2i22i20000000000000i2−i2004-440-400004-2-4200-220000000−2i22i20000000000000i2−i200
χ304-440-400004-2-4200-2200000002i2−2i20000000000000−i2i2004-440-400004-2-4200-2200000002i2−2i20000000000000−i2i200
χ314-440-40000-242-400-2200000−2i22i20000000000000i2−i200004-440-40000-242-400-2200000−2i22i20000000000000i2−i20000
χ324-440-40000-242-400-22000002i2−2i20000000000000−i2i200004-440-40000-242-400-22000002i2−2i20000000000000−i2i20000
χ3366-36-36-3-3-300002200002-1-1000000000200-1-1-100000066-36-36-3-3-300002200002-1-1000000000200-1-1-1000000
χ3466-36-36-3-3-30000-2-20000-211000000000-20011100000066-36-36-3-3-30000-2-20000-211000000000-200111000000
χ3566-36-3-633-300002200002-1-1000000000-20011-100000066-36-3-633-300002200002-1-1000000000-20011-1000000
χ3666-36-3-633-30000-2-20000-211000000000200-1-1100000066-36-3-633-30000-2-20000-211000000000200-1-11000000
χ3766-3-6-30−3i33i330000220000-2-1-1000000000000−i3i3100000066-3-6-30−3i33i330000220000-2-1-1000000000000−i3i31000000
χ3866-3-6-30−3i33i330000-2-20000211000000000000i3−i3-100000066-3-6-30−3i33i330000-2-20000211000000000000i3−i3-1000000
χ3966-3-6-303i3−3i330000220000-2-1-1000000000000i3−i3100000066-3-6-303i3−3i330000220000-2-1-1000000000000i3−i31000000
χ4066-3-6-303i3−3i330000-2-20000211000000000000−i3i3-100000066-3-6-303i3−3i330000-2-20000211000000000000−i3i3-1000000
χ418-880-80000-4-444002-2000000000000000000000000008-880-80000-4-444002-200000000000000000000000000
χ4212-12-606000000004-400000-2200000000000000000000012-12-606000000004-400000-22000000000000000000000
χ4312-12-60600000000-44000002-200000000000000000000012-12-60600000000-44000002-2000000000000000000000
χ441111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ451111111111111111111111-1-1-1-1111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1111111
χ461111111111111-1-11111-1-1-111-1-111111-11-1-1-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-111-1-1-1-1-11-11111-1-111-11
χ471111111111111-1-11111-1-1-1-1-11111111-1-11-1-1-1-1-111-11-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-111-111111-1-11-1
χ4811111-1-1-1111111111111111111-1-1-1-11-1-1-1-1-111111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111111-1-1-1-1-111
χ4911111-1-1-111111111111111-1-1-1-1-1-1-1-11-111-1-11-1-1-1-111-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-111-11111-1-1
χ5011111-1-1-111111-1-11111-1-1-111-1-1-1-1-1-111-1111-111-1-1-11-1-1-1-1-1111-1-1-1-1-111-1-1-1-1111-1-1111111-1-11-1-1-11-1-1111-1
χ5111111-1-1-111111-1-11111-1-1-1-1-111-1-1-1-1111-111-1-1-1111-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-111111-1-11111-1-1-11-1-1111-1-1-11
χ522222222222-12-100-1-12-100000222-1-1-1-100200000-1-10-1-2-2-2-2-2-2-2-2-2-21-210011-2100000-2-2-2111100-2000001101
χ532222222222-12-100-1-12-100000-2-22-1-1-1-100-2000001101-2-2-2-2-2-2-2-2-2-21-210011-210000022-2111100200000-1-10-1
χ54222222222-12-1200-1-1-120002200-12-1-1-1020000-1-100-10-2-2-2-2-2-2-2-2-21-21-200111-2000-2-2001-21110-20000110010
χ55222222222-12-1200-1-1-12000-2-200-12-1-1-10-20000110010-2-2-2-2-2-2-2-2-21-21-200111-200022001-2111020000-1-100-10
χ5622222-2-2-222-12-100-1-12-10000022-2111-100-200000-1-101-2-2-2-2-2222-2-21-210011-2100000-2-22-1-1-1100200000110-1
χ5722222-2-2-222-12-100-1-12-100000-2-2-2111-100200000110-1-2-2-2-2-2222-2-21-210011-2100000222-1-1-1100-200000-1-101
χ5822222-2-2-22-12-1200-1-1-1200022001-211-10-20000-1-10010-2-2-2-2-2222-21-21-200111-2000-2-200-12-1-110200001100-10
χ5922222-2-2-22-12-1200-1-1-12000-2-2001-211-10200001100-10-2-2-2-2-2222-21-21-200111-20002200-12-1-110-20000-1-10010
χ60222-22000-222222222-2-2-22200000000-200000-2000000-2-2-22-20002-2-2-2-2-2-2-2-2222-2-2000000002000002000000
χ61222-22000-22222-2-222-2-22-2-200000000-2000002000000-2-2-22-20002-2-2-2-222-2-222-22200000000200000-2000000
χ622-220-2000022-2-22-22-20002-2−i2i2−i2i200000000000−i2i2−i2i200-22-2020000-2-222-22-22000-22i2−i2i2−i200000000000i2−i2i2−i200
χ632-220-2000022-2-22-22-20002-2i2−i2i2−i200000000000i2−i2i2−i200-22-2020000-2-222-22-22000-22−i2i2−i2i200000000000−i2i2−i2i200
χ642-220-2000022-2-2-222-2000-22−i2i2i2−i200000000000−i2i2i2−i200-22-2020000-2-2222-2-220002-2i2−i2−i2i200000000000i2−i2−i2i200
χ652-220-2000022-2-2-222-2000-22i2−i2−i2i200000000000i2−i2−i2i200-22-2020000-2-2222-2-220002-2−i2i2i2−i200000000000−i2i2i2−i200
χ66444444444-2-2-2-20011-2-20000000-2-2111000000000000-4-4-4-4-4-4-4-4-4222200-1-122000000022-1-1-1000000000000
χ6744444-4-4-44-2-2-2-20011-2-2000000022-1-11000000000000-4-4-4-4-4444-4222200-1-1220000000-2-211-1000000000000
χ68444-44000-44-24-200-2-2-42000000000002000000000000-4-4-44-40004-42-4200224-200000000000-2000000000000
χ69444-44000-4-24-2400-2-22-4000000000002000000000000-4-4-44-400042-42-40022-2400000000000-2000000000000
χ70444-44000-4-2-2-2-20011220000000003-3-1000000000000-4-4-44-40004222200-1-1-2-2000000000-331000000000000
χ71444-44000-4-2-2-2-2001122000000000-33-1000000000000-4-4-44-40004222200-1-1-2-20000000003-31000000000000
χ724-440-400004-2-4200-220000000−2i22i20000000000000i2−i200-44-4040000-424-2002-200000002i2−2i20000000000000−i2i200
χ734-440-400004-2-4200-2200000002i2−2i20000000000000−i2i200-44-4040000-424-2002-20000000−2i22i20000000000000i2−i200
χ744-440-40000-242-400-2200000−2i22i20000000000000i2−i20000-44-40400002-4-24002-2000002i2−2i20000000000000−i2i20000
χ754-440-40000-242-400-22000002i2−2i20000000000000−i2i20000-44-40400002-4-24002-200000−2i22i20000000000000i2−i20000
χ7666-36-36-3-3-300002200002-1-1000000000200-1-1-1000000-6-63-63-63330000-2-20000-211000000000-200111000000
χ7766-36-36-3-3-30000-2-20000-211000000000-200111000000-6-63-63-633300002200002-1-1000000000200-1-1-1000000
χ7866-36-3-633-300002200002-1-1000000000-20011-1000000-6-63-636-3-330000-2-20000-211000000000200-1-11000000
χ7966-36-3-633-30000-2-20000-211000000000200-1-11000000-6-63-636-3-3300002200002-1-1000000000-20011-1000000
χ8066-3-6-30−3i33i330000220000-2-1-1000000000000−i3i31000000-6-636303i3−3i3-30000-2-20000211000000000000i3−i3-1000000
χ8166-3-6-30−3i33i330000-2-20000211000000000000i3−i3-1000000-6-636303i3−3i3-30000220000-2-1-1000000000000−i3i31000000
χ8266-3-6-303i3−3i330000220000-2-1-1000000000000i3−i31000000-6-63630−3i33i3-30000-2-20000211000000000000−i3i3-1000000
χ8366-3-6-303i3−3i330000-2-20000211000000000000−i3i3-1000000-6-63630−3i33i3-30000220000-2-1-1000000000000i3−i31000000
χ848-880-80000-4-444002-200000000000000000000000000-88-808000044-4-400-2200000000000000000000000000
χ8512-12-606000000004-400000-22000000000000000000000-121260-600000000-44000002-2000000000000000000000
χ8612-12-60600000000-44000002-2000000000000000000000-121260-6000000004-400000-22000000000000000000000

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