Finite Group Databasebeta

← Group #285111

Character table — Group #285111

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11112222222244444448888888888888888161616161616161616161616161616323232
order12222244444444488882444888888888888444444448888888488
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-111-111-1-1-1-1-11-1-1111-1-1-1-1
χ311111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-11-1-11
χ411111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1111-1-11-1-11-1-1-111-1
χ51111111111111111111-1-1-1-11111111111111-1-11-1-111-1-1-1-1-1-11-11-1
χ61111111111111111111-1-1-1-111111111-1-111-1-1-1-111-1-1-111-1-1-1-11-11
χ71111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-11111-1-1-1-11111-1-1
χ81111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-111-111-1-111
χ9111111111111111-1-1-1-1111111-1-111-1-111-1-1-111-1-1-1-1-1-111-1-1-1111-1
χ10111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11
χ11111111111111111-1-1-1-11111-1-111-1-11111-1-11-1-1111-1-1-111-1111-1-1-1
χ12111111111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1111
χ13111111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-111-1-11-1-11111-111
χ14111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11-1-11-1-111111111-11-1-1
χ15111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-11-1-11-1-111-11
χ16111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-111-111111111-1-1-1-11-1
χ172222222-222-22-2-2-200002-22-22200-2-200000002-2000000000000000
χ182222222-222-22-2-2-200002-22-2-2-200220000000-22000000000000000
χ192222222-222-22-2-2-20000-22-222200-2-20000000-22000000000000000
χ202222222-222-22-2-2-20000-22-22-2-2002200000002-2000000000000000
χ21222222-2-2-2-2-2-2-22200000000002i−2i002i−2i000000002-20002i−2i0000000
χ22222222-2-2-2-2-2-2-22200000000002i−2i002i−2i00000000-22000−2i2i0000000
χ23222222-2-2-2-2-2-2-2220000000000−2i2i00−2i2i000000002-2000−2i2i0000000
χ24222222-2-2-2-2-2-2-2220000000000−2i2i00−2i2i00000000-220002i−2i0000000
χ252222-2-222-222-2-2-22222222-2-20000000000-2-200000000200-2000000
χ262222-2-222-222-2-2-222222-2-2220000000000-2-200000000-2002000000
χ272222-2-222-222-2-2-22-2-2-2-222-2-200000000002200000000-2002000000
χ282222-2-222-222-2-2-22-2-2-2-2-2-22200000000002200000000200-2000000
χ292222-2-22-2-22-2-222-200002-2-22002i−2i00−2i2i00000000000000002i−2i0000
χ302222-2-22-2-22-2-222-200002-2-2200−2i2i002i−2i0000000000000000−2i2i0000
χ312222-2-22-2-22-2-222-20000-222-2002i−2i00−2i2i0000000000000000−2i2i0000
χ322222-2-22-2-22-2-222-20000-222-200−2i2i002i−2i00000000000000002i−2i0000
χ332222-2-2-222-222-22-200000000002200-2-22200200-20000000000-2000
χ342222-2-2-222-222-22-200000000002200-2-2-2-200-200200000000002000
χ352222-2-2-222-222-22-20000000000-2-200222200-20020000000000-2000
χ362222-2-2-222-222-22-20000000000-2-20022-2-200200-200000000002000
χ37444444-44-4-44-44-4-400000000000000000000000000000000000000
χ384444-4-4-4-44-4-444-4400000000000000000000000000000000000000
χ3944-4-4000400-400002222−22−2200000000000022−22000000002-20000000000
χ4044-4-4000400-400002222−22−22000000000000−222200000000-220000000000
χ4144-4-4000400-40000−22−22222200000000000022−2200000000-220000000000
χ4244-4-4000400-40000−22−222222000000000000−2222000000002-20000000000
χ434-44-44-4404-40-4000000000004-40000000000000000000000000000
χ444-44-44-4404-40-400000000000-440000000000000000000000000000
χ454-44-44-4-40-44040002i2−2i22i2−2i2000000000000002i2−2i2000000000000000000
χ464-44-44-4-40-4404000−2i22i2−2i22i200000000000000−2i22i2000000000000000000
χ474-44-4-4440-4-4040000000000000004i−4i000000000000000000000000
χ484-44-4-4440-4-404000000000000000−4i4i000000000000000000000000
χ494-44-4-44-40440-40002i2−2i22i2−2i200000000000000−2i22i2000000000000000000
χ504-44-4-44-40440-4000−2i22i2−2i22i2000000000000002i2−2i2000000000000000000
χ5188-8-8000-8008000000000000000000000000000000000000000000
χ528-8-88000000000004i−4i−4i4i0000000000000000000000000000000000
χ538-8-8800000000000−4i4i4i−4i0000000000000000000000000000000000

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