Finite Group Databasebeta

← Group #285458

Character table — Group #285458

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size1111222222444444444444448888888888888881616161616161616161616161616323232
order12224444442444448888888824488888888888822444488888888488
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-111111-1-11-1-1-1-1-1111-1-1-1-1-1
χ311111111111111111111-1-1-1-1111-1-1-1-1-1-11111-1-1-111-11111111-1-1-1-1-1-1
χ411111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-111111
χ51111111111111111-1-1-1-11111111-1-111-1-111-1-111-1-1-1-1-1-1111-1-1111-11-1
χ61111111111111111-1-1-1-11111111-1-111-1-1-1-1-1-111-111-111-1-1-1-1-11-1-11-11
χ71111111111111111-1-1-1-1-1-1-1-111111-1-11111-1-1-1-11-1-11-1-1111-1-1-1-1-11-11
χ81111111111111111-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-111-11-1
χ9111111111111-1-11111111111-1-1-111-1-111111111-111-1-1-11-1-1-1-1-111-1-11
χ10111111111111-1-11111111111-1-1-111-1-111-1-11111-1-1-1-111-111-1-1-1-1-111-1
χ11111111111111-1-1111111-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-11-1-1-1-11-1-111-1
χ12111111111111-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11-1-1111-111-1-1111-1-11
χ13111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1111-1-11111-1-111-1111-1-1
χ14111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11111-1-1-1-111
χ15111111111111-1-111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-1111-1-1-111
χ16111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-1-1-111111111-1-1
χ172222222-2-22-2-2222-200002222-22-20022000000-2-200000000000-200000
χ182222222-2-22-2-2222-20000-2-2-2-2-22-200-2-20000002200000000000200000
χ192222222-2-22-2-2-2-22-2000022222-2200-2-2000000-2-200000000000200000
χ202222222-2-22-2-2-2-22-20000-2-2-2-22-2200220000002200000000000-200000
χ2122222-2222-2-2-222-22000000002-2-22200-2-2000000200-20000000000000
χ2222222-2222-2-2-222-22000000002-2-2-2-20022000000-20020000000000000
χ2322222-2222-2-2-2-2-2-2200000000-2222200-2-2000000-20020000000000000
χ2422222-2222-2-2-2-2-2-2200000000-222-2-20022000000200-20000000000000
χ2522222-22-2-2-22222-2-22i2i−2i−2i0000-2-22000000002i−2i000000000002i−2i000000
χ2622222-22-2-2-22222-2-2−2i−2i2i2i0000-2-2200000000−2i2i00000000000−2i2i000000
χ2722222-22-2-2-222-2-2-2-22i2i−2i−2i000022-2000000002i−2i00000000000−2i2i000000
χ2822222-22-2-2-222-2-2-2-2−2i−2i2i2i000022-200000000−2i2i000000000002i−2i000000
χ292222-22-2222-2200-2-22222000000000000022-2-2000-22000-20000000000
χ302222-22-2222-2200-2-222220000000000000-2-2-2-20002-200020000000000
χ312222-22-2222-2200-2-2-2-2-2-2000000000000022220002-2000-20000000000
χ322222-22-2222-2200-2-2-2-2-2-20000000000000-2-222000-2200020000000000
χ332222-2-2-2-2-2-2-2200222i2i−2i−2i000000000000000−2i2i0000002-202i−2i00000000
χ342222-2-2-2-2-2-2-2200222i2i−2i−2i000000000000000−2i2i000000-220−2i2i00000000
χ352222-2-2-2-2-2-2-220022−2i−2i2i2i0000000000000002i−2i0000002-20−2i2i00000000
χ362222-2-2-2-2-2-2-220022−2i−2i2i2i0000000000000002i−2i000000-2202i−2i00000000
χ374444-44-4-4-444-400-440000000000000000000000000000000000000000
χ384444-4-4-444-44-4004-40000000000000000000000000000000000000000
χ3944-4-4-404000004i−4i0000002222−22−22000002i2−2i20000000000000000000000000
χ4044-4-4-404000004i−4i000000−22−22222200000−2i22i20000000000000000000000000
χ4144-4-4-40400000−4i4i0000002222−22−2200000−2i22i20000000000000000000000000
χ4244-4-4-40400000−4i4i000000−22−222222000002i2−2i20000000000000000000000000
χ434-44-40004-400000002i2−2i22i2−2i22i−2i2i−2i00022−22000000002i−2i00000000000000000
χ444-44-40004-400000002i2−2i22i2−2i2−2i2i−2i2i000−222200000000−2i2i00000000000000000
χ454-44-40004-40000000−2i22i2−2i22i22i−2i2i−2i000−2222000000002i−2i00000000000000000
χ464-44-40004-40000000−2i22i2−2i22i2−2i2i−2i2i00022−2200000000−2i2i00000000000000000
χ474-44-4000-44000000022−22−22222i−2i2i−2i00000002i2−2i20000−2i2i00000000000000000
χ484-44-4000-44000000022−22−2222−2i2i−2i2i0000000−2i22i200002i−2i00000000000000000
χ494-44-4000-440000000−222222−222i−2i2i−2i0000000−2i22i20000−2i2i00000000000000000
χ504-44-4000-440000000−222222−22−2i2i−2i2i00000002i2−2i200002i−2i00000000000000000
χ514-4-4404000-400000000002i2−2i2−2i22i20000000002i2−2i200000000000000002-2000
χ524-4-4404000-400000000002i2−2i2−2i22i2000000000−2i22i20000000000000000-22000
χ534-4-4404000-40000000000−2i22i22i2−2i20000000002i2−2i20000000000000000-22000
χ544-4-4404000-40000000000−2i22i22i2−2i2000000000−2i22i200000000000000002-2000
χ5588-8-880-80000000000000000000000000000000000000000000000000
χ568-8-880-800080000000000000000000000000000000000000000000000

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