Finite Group Databasebeta

← Group #13150010

Character table — Group #13150010

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11222444444666688121212121818181818181818181824242424242424242436363636363636363636363636363648487272727272727272
order1234644812242433661212361212222444668812121212122424242422444466881212122424121266121212122424
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-11-1-11111111111111-1-111-1-1-1-1-1-11-1-11111-1-111-1-1-1-1
χ3111111111111111111111-11-1-11-1-1-1-1-11111111111-1-1-11-11-11-1-11-1-1-1111-1-1-11-11-1
χ4111111111111111111111-1-11-1-11-1-1-1-1111111111-11-1-1-11-11-11-1-11-1-111-11-1-1-11-11
χ5111111-1-11-1-111111-1111111111111-1-111-1-11-1-1-1-11-11-1-1111-1-1111-1-11-11-11-1-11-1-1
χ6111111-1-11-1-111111-111111-1-11-1-111-1-111-1-11-1-1-1-1-111-11-1-1-1111-1-1-1-11-1-111-11-111
χ7111111-1-11-1-111111-11111-11-1-11-1-1-11111-1-11-1-1-1-111-11-1-11-1-11-11-1111-111-11-1-1-11
χ8111111-1-11-1-111111-11111-1-11-1-11-1-11111-1-11-1-1-1-1-1-1-1111-111-1-1-11111-1-1-1-11111-1
χ911111-11-11-1-11111-11111111111111-1-1-1-1111-1-1-1-1-11-111-111-1-1111-1-1-11-11-111-1-1-1
χ1011111-11-11-1-11111-1111111-1-11-1-111-1-1-1-1111-1-1-1-11-1-11-11-1-1111-1-1-1-1-111-1-11-1111
χ1111111-11-11-1-11111-111111-11-1-11-1-1-111-1-1111-1-1-1-1-1-11-1111-1-11-11-111-11-1-11-111-11
χ1211111-11-11-1-11111-111111-1-11-1-11-1-111-1-1111-1-1-1-1111-1-1-1-111-1-1-1111-11111-1-1-11-1
χ1311111-1-111111111-1-111111111111111-1-1-1-111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111
χ1411111-1-111111111-1-111111-1-11-1-11111-1-1-1-11111111-1-111-1-1-1-11-1-111-1-111-1-111-1-1
χ1511111-1-111111111-1-11111-11-1-11-1-1-1-1-1-1-1-1-111111-1111-111-11-1-11-1-1-1-1-1-1111-111-1
χ1611111-1-111111111-1-11111-1-11-1-11-1-1-1-1-1-1-1-1111111-1111-1-11-11-1-11-1-1-1-11-1111-1-11
χ17222222222222-12-122-1-12-100200200002-12-1-12-1-1-10200020-10200-100-1-10-1000-10-1
χ18222222222222-12-122-1-12-100-200-200002-12-1-12-1-1-10-2000-2010-200100-1-101000101
χ1922222222222-12-1222-1-1-120200200000-12-12-1-12-1-1200020-10200-1000-1-1-1000-10-10
χ2022222222222-12-1222-1-1-120-200-200000-12-12-1-12-1-1-2000-2010-2001000-1-110001010
χ21222222-2-22-2-22-12-12-2-1-12-100200200002-1-21-1-21110-200020-10-200-100-1101000-101
χ22222222-2-22-2-22-12-12-2-1-12-100-200-200002-1-21-1-211102000-2010200100-110-100010-1
χ23222222-2-22-2-2-12-122-2-1-1-120200200000-121-2-11-2112000-20-10-200-1000-11-10001010
χ24222222-2-22-2-2-12-122-2-1-1-120-200-200000-121-2-11-211-200020102001000-111000-10-10
χ2522222-22-22-2-22-12-1-22-1-12-10020020000-212-1-1-211102000-20-10-200-1001-10-1000101
χ2622222-22-22-2-22-12-1-22-1-12-100-200-20000-212-1-1-21110-200020102001001-101000-10-1
χ2722222-22-22-2-2-12-12-22-1-1-1202002000001-2-12-11-211-200020-10-200-10001-11000-1010
χ2822222-22-22-2-2-12-12-22-1-1-120-200-2000001-2-12-11-2112000-201020010001-1-100010-10
χ2922222-2-222222-12-1-2-2-1-12-10020020000-21-21-12-1-1-10-2000-20-10200-100110100010-1
χ3022222-2-222222-12-1-2-2-1-12-100-200-20000-21-21-12-1-1-1020002010-200100110-1000-101
χ3122222-2-22222-12-12-2-2-1-1-1202002000001-21-2-1-12-1-1-2000-20-10200-100011100010-10
χ3222222-2-22222-12-12-2-2-1-1-120-200-2000001-21-2-1-12-1-120002010-200100011-1000-1010
χ33222-22000-20022220022-2-222-2-2-2222000000-200000000002-200-2-22000000000000
χ34222-22000-20022220022-2-22-22-22-222000000-20000000000-2200-22-2000000000000
χ35222-22000-20022220022-2-2-2222-2-2-2-2000000-2000000000022002-2-2000000000000
χ36222-22000-20022220022-2-2-2-2-2222-2-2000000-20000000000-2-200222000000000000
χ3744444444444-2-2-2-24411-2-20000000000-2-2-2-21-2-2110000000000000001100000000
χ38444444-4-44-4-4-2-2-2-24-411-2-20000000000-2-222122-1-10000000000000001-100000000
χ3944444-44-44-4-4-2-2-2-2-4411-2-2000000000022-2-2122-1-1000000000000000-1100000000
χ4044444-4-44444-2-2-2-2-4-411-2-2000000000022221-2-211000000000000000-1-100000000
χ41444-44000-4004-24-200-2-2-4200400-400000000200000000000-200002000000000000
χ42444-44000-4004-24-200-2-2-4200-40040000000020000000000020000-2000000000000
χ43444-44000-400-24-2400-2-22-40400-400000000020000000000-2000020000000000000
χ44444-44000-400-24-2400-2-22-40-40040000000002000000000020000-20000000000000
χ454-440-400000044-4-4004-4000000000022−22000000000000000000000022−220000000000
χ464-440-400000044-4-4004-40000000000−22220000000000000000000000−22220000000000
χ4766-36-3666-3-3-30000-3-30000200200-1-1220000000000022000000-100-1-10000-1-10000
χ4866-36-3666-3-3-30000-3-30000-200-20011-2-200000000000-2-2000000100110000110000
χ4966-36-36-6-6-3330000-330000200200-1-1-2-2000000000002-2000000-100110000-110000
χ5066-36-36-6-6-3330000-330000-200-200112200000000000-22000000100-1-100001-10000
χ5166-36-3-66-6-33300003-30000200200-1-1-2-200000000000-22000000-1001100001-10000
χ5266-36-3-66-6-33300003-30000-200-2001122000000000002-2000000100-1-10000-110000
χ5366-36-3-6-66-3-3-30000330000200200-1-12200000000000-2-2000000-100-1-10000110000
χ5466-36-3-6-66-3-3-30000330000-200-20011-2-20000000000022000000100110000-1-10000
χ55888-88000-800-4-4-4-400224400000000000000-200000000000000000000000000000
χ568-880-80000008-4-8400-440000000000000000000000000000000000000000000000
χ578-880-8000000-484-800-440000000000000000000000000000000000000000000000
χ588-880-8000000-4-444002-2000000000000000000032−320000000000000000000000000
χ598-880-8000000-4-444002-20000000000000000000−32320000000000000000000000000
χ601212-6-12-60006000000000000400-400-2-2000000000000000000000200000000000000
χ611212-6-12-60006000000000000-40040022000000000000000000000-200000000000000
χ6212-12-60600003i6−3i60000000000000000−2i32i322−220000000000000000000000−220000000000
χ6312-12-60600003i6−3i600000000000000002i3−2i3−222200000000000000000000002−20000000000
χ6412-12-6060000−3i63i60000000000000000−2i32i3−222200000000000000000000002−20000000000
χ6512-12-6060000−3i63i600000000000000002i3−2i322−220000000000000000000000−220000000000

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