Finite Group Databasebeta

← Group #72323227

Character table — Group #72323227

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size11222444444444444448888888816161616161616161616161616163232323232323232323232323264646464
order1222222222222224444224444442224444444444444444444444448888
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-11-1-111-1-1-1-1111-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111-1-11-1-111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111-1-1-1-111-1-1-1-1-1-1-11-1-11-11111-1-111-111-1-11111-1-1-1-111-1-1
χ6111111111111111-1-1-1-111-1-1-1-1-1-1-11-1-11-11111-1-111-111-1-1-1-1-1-11111-1-111
χ7111111111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-1111-1-11111-1-1-1111111-1-1-1-1-1-111
χ8111111111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-1111-1-11111-1-1-111-1-1-1-1111111-1-1
χ911111111111-1-1-1-11111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1ii−i−iii−i−ii−ii−i
χ1011111111111-1-1-1-11111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1−i−iii−i−iii−ii−ii
χ1111111111111-1-1-1-11111-1-111-1-1-1-11-1-11-1-111-1-1-1-1-1-1-11111ii−i−iii−i−i−ii−ii
χ1211111111111-1-1-1-11111-1-111-1-1-1-11-1-11-1-111-1-1-1-1-1-1-11111−i−iii−i−iiii−ii−i
χ1311111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-11-11111-1-1-1-11-1-111ii−i−i−i−iiii−i−ii
χ1411111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-11-11111-1-1-1-11-1-111−i−iiiii−i−i−iii−i
χ1511111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-1111-1-111-1-1111-1-1ii−i−i−i−iii−iii−i
χ1611111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-1111-1-111-1-1111-1-1−i−iiiii−i−ii−i−ii
χ17222222222222222222222222222-200-200-2-20000-2-2-20000000000000000
χ18222222222222222-2-2-2-222-2-2-2-2-2-2200200-2-20000-2-220000000000000000
χ1922222222222-2-2-2-22222-2-222-2-2-2-2-200-200-2-200002220000000000000000
χ2022222222222-2-2-2-2-2-2-2-2-2-2-2-22222200200-2-2000022-20000000000000000
χ2122222-2-2-2-22222-2-200002-20000000020022-200-2-22-20002-2000000000000
χ2222222-2-2-2-22222-2-200002-200000000-200-22-200222-2000-22000000000000
χ2322222-2-2-2-22222-2-200002-2000000020020-22-2-200-2202-200000000000000
χ2422222-2-2-2-22222-2-200002-20000000-200-20-222200-220-2200000000000000
χ2522222-2-2-2-222-2-2220000-220000000020022-200-2-2-22000-22000000000000
χ2622222-2-2-2-222-2-2220000-2200000000-200-22-20022-220002-2000000000000
χ2722222-2-2-2-222-2-2220000-22000000020020-22-2-2002-20-2200000000000000
χ2822222-2-2-2-222-2-2220000-220000000-200-20-2222002-202-200000000000000
χ294444444-4-4-4-40000000000000000400-4000000000000000000000000000
χ304444444-4-4-4-40000000000000000-4004000000000000000000000000000
χ3144444-4-444-4-4000044-4-4004-400000000000000000000000000000000000
χ3244444-4-444-4-40000-4-44400-4400000000000000000000000000000000000
χ33444-4-400004-4004400000-400000000000000000000000002-22-200000000
χ34444-4-400004-4004400000-40000000000000000000000000-22-2200000000
χ35444-4-400004-400-4-400000400000000000000000000000002i−2i−2i2i00000000
χ36444-4-400004-400-4-40000040000000000000000000000000−2i2i2i−2i00000000
χ37444-4-40000-4444000000-40000000000000000000000000000002-22-20000
χ38444-4-40000-4444000000-4000000000000000000000000000000-22-220000
χ39444-4-40000-44-4-400000040000000000000000000000000000002i−2i−2i2i0000
χ40444-4-40000-44-4-40000004000000000000000000000000000000−2i2i2i−2i0000
χ4144-4-44004-40000000044000-4000002-20-22002-22-20000000000000000000
χ4244-4-44004-40000000044000-400000-2202-200-22-220000000000000000000
χ4344-4-44004-400000000-4-4000400000220-2-2002-2-220000000000000000000
χ4444-4-44004-400000000-4-4000400000-2-202200-222-20000000000000000000
χ4544-4-4400-44000000440000-40000002-20-2200-22-220000000000000000000
χ4644-4-4400-44000000440000-4000000-2202-2002-22-20000000000000000000
χ4744-4-4400-44000000-4-400004000000220-2-200-222-20000000000000000000
χ4844-4-4400-44000000-4-400004000000-2-2022002-2-220000000000000000000
χ4988-88-800000000000000000044-4-40000000000000000000000000000000
χ5088-88-8000000000000000000-4-4440000000000000000000000000000000
χ518-80004-400004-44-44i−4i4i−4i0000004i−4i0000000000000000000000000000000
χ528-80004-400004-44-4−4i4i−4i4i000000−4i4i0000000000000000000000000000000
χ538-80004-40000-44-444i−4i4i−4i000000−4i4i0000000000000000000000000000000
χ548-80004-40000-44-44−4i4i−4i4i0000004i−4i0000000000000000000000000000000
χ558-8000-4400004-4-444i−4i−4i4i00004i−4i000000000000000000000000000000000
χ568-8000-4400004-4-44−4i4i4i−4i0000−4i4i000000000000000000000000000000000
χ578-8000-440000-444-44i−4i−4i4i0000−4i4i000000000000000000000000000000000
χ588-8000-440000-444-4−4i4i4i−4i00004i−4i000000000000000000000000000000000

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