Finite Group Databasebeta

← Group #330108

Character table — Group #330108

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111112222222244444488888888888888888816161616161616161616161632323232
order12222222444444444444442444444444888888888888888888884444
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11-11-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-11-11
χ511111111111111111111111-1-1-1-1-1-11-1-11111111111111111-1-1-1-1-1-1-1-1
χ611111111111111111111111-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-11-11
χ811111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111-11-1
χ9111111111111111111-1-1-1-1-11111-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-11-1-11
χ10111111111111111111-1-1-1-1-11111-1-1-1-1-111-1-111-1-1-1-1-1-1111111-1-1-111-1
χ11111111111111111111-1-1-1-1-11111-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1
χ12111111111111111111-1-1-1-1-11111-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-111
χ13111111111111111111-1-1-1-1-1-1-1-1-111-11111-1-111-1-11111-1-1-1-1-1-111-111-1
χ14111111111111111111-1-1-1-1-1-1-1-1-111-11111-1-111-1-1-1-1-1-11111-1-1111-1-11
χ15111111111111111111-1-1-1-1-1-1-1-1-111-111-1-111-1-11111-1-1-1-11111-1-1-1-111
χ16111111111111111111-1-1-1-1-1-1-1-1-111-111-1-111-1-111-1-11111-1-111-1-111-1-1
χ172222222222-22-2-2-22-2-22222-2000000-2002222-2-2-2-20000000000000000
χ182222222222-22-2-2-22-2-22222-2000000-200-2-2-2-222220000000000000000
χ192222222222-22-2-2-22-2-2-2-2-2-2200000020022-2-2-2-2220000000000000000
χ202222222222-22-2-2-22-2-2-2-2-2-22000000200-2-22222-2-20000000000000000
χ2122222222-2-22-2222-2-2-222-2-2-222-2-2222-2-2000000000000000000000000
χ2222222222-2-22-2222-2-2-222-2-2-2-2-222-2-2222000000000000000000000000
χ2322222222-2-22-2222-2-2-2-2-222222-2-2-2-2-222000000000000000000000000
χ2422222222-2-22-2222-2-2-2-2-2222-2-22222-2-2-2000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-22000000-20000000000000000002i−2i2i−2i0000
χ2622222222-2-2-2-2-2-2-2-22222-2-22000000-2000000000000000000−2i2i−2i2i0000
χ2722222222-2-2-2-2-2-2-2-222-2-222-200000020000000000000000002i−2i−2i2i0000
χ2822222222-2-2-2-2-2-2-2-222-2-222-20000002000000000000000000−2i2i2i−2i0000
χ294444-4-4-4-400000000004-400000000000022−2222−2200000000000000000000
χ304444-4-4-4-400000000004-4000000000000−2222−222200000000000000000000
χ314444-4-4-4-40000000000-4400000000000022−22−222200000000000000000000
χ324444-4-4-4-40000000000-44000000000000−222222−2200000000000000000000
χ3344-4-444-4-400404-4-400000000004-400000000000000000000000000000
χ3444-4-444-4-400404-4-40000000000-4400000000000000000000000000000
χ3544-4-444-4-400-40-444000000004i−4i0000000000000000000000000000000
χ3644-4-444-4-400-40-44400000000−4i4i0000000000000000000000000000000
χ3744-4-4-4-4444-404000-400000000000000000000000000002i2−2i20000000000
χ3844-4-4-4-4444-404000-40000000000000000000000000000−2i22i20000000000
χ3944-4-4-4-444-440-4000400000000000000000000000022−2200000000000000
χ4044-4-4-4-444-440-40004000000000000000000000000−222200000000000000
χ414-44-44-44-44-40-40004000000000000000000000000002i2−2i2000000000000
χ424-44-44-44-44-40-4000400000000000000000000000000−2i22i2000000000000
χ434-44-44-44-4-4404000-400000000000000000000000000000022−2200000000
χ444-44-44-44-4-4404000-4000000000000000000000000000000−222200000000
χ454-44-4-44-440040-44-40000000000004i−4i000000000000000000000000000
χ464-44-4-44-440040-44-4000000000000−4i4i000000000000000000000000000
χ474-44-4-44-4400-404-440000000000000004-4000000000000000000000000
χ484-44-4-44-4400-404-44000000000000000-44000000000000000000000000
χ494-4-444-4-440000000000004i−4i000000000000002i2−2i222−220000000000000000
χ504-4-444-4-440000000000004i−4i00000000000000−2i22i2−22220000000000000000
χ514-4-444-4-44000000000000−4i4i000000000000002i2−2i2−22220000000000000000
χ524-4-444-4-44000000000000−4i4i00000000000000−2i22i222−220000000000000000
χ534-4-44-444-4444-4-4-44-44-400000000000000000000000000000000000000
χ544-4-44-444-444-4-444-4-4-4400000000000000000000000000000000000000
χ554-4-44-444-4-4-444-4-444-4400000000000000000000000000000000000000
χ564-4-44-444-4-4-4-4444-444-400000000000000000000000000000000000000

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