Finite Group Databasebeta

← Group #278488

Character table — Group #278488

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122222222444444488888888888888888816161616161616161616161632323232
order12222244444444488882444444488888888888888888888884488
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-11-1-1111-1-1-1-111-1-1-1-1
χ3111111111111111111111-1-111-1-111-1-1-1-11111111-1-111111-1-1-1-1-1-1
χ4111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-11111
χ51111111111111111111-1-111-1-1111111111111-1-1-1-1-1-111-1-1-1-111-1-1
χ61111111111111111111-1-111-1-111111111-1-1-1-1-111-1-1-1-1-111-1-1-1-111
χ71111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-111-111-1-111-1-111
χ81111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1111111-1-1
χ9111111111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-11111-11-1-1-1-1-11-11-1
χ10111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-111-1-1111-1-1-11-11
χ11111111111111111-1-1-1-111-1-111-1-1-1-1111111-1-1-111-1-1-11-1-1-111-11-11
χ12111111111111111-1-1-1-111-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1111111-11-1
χ13111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-11-1-1-1-111-111111-1-11
χ14111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111-1-11-11-1-111-111-1
χ15111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-11111-111-1-1-111-1
χ16111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-11-1-1-1-11-1-11
χ172222222-222-22-2-2-200002222-2-2-2-200000000000002-200000000000
χ182222222-222-22-2-2-2000022-2-2-2-2220000000000000-2200000000000
χ192222222-222-22-2-2-20000-2-22222-2-20000000000000-2200000000000
χ202222222-222-22-2-2-20000-2-2-2-2222200000000000002-200000000000
χ21222222-22-2-22-22-2-2222200000000-2-20000000002i−2i000002i−2i000000
χ22222222-22-2-22-22-2-2222200000000-2-2000000000−2i2i00000−2i2i000000
χ23222222-22-2-22-22-2-2-2-2-2-200000000220000000002i−2i00000−2i2i000000
χ24222222-22-2-22-22-2-2-2-2-2-20000000022000000000−2i2i000002i−2i000000
χ252222-2-222-2-222-22-222-2-2000000002-200002222000000-2-200000000
χ262222-2-222-2-222-22-222-2-2000000002-20000-2-2-2-20000002200000000
χ272222-2-222-2-222-22-2-2-22200000000-22000022-2-2000000-2200000000
χ282222-2-222-2-222-22-2-2-22200000000-220000-2-2220000002-200000000
χ292222-2-2-22222-2-2-2222-2-22-2002-200-220000000020000-20000000000
χ302222-2-2-22222-2-2-2222-2-2-2200-2200-2200000000-2000020000000000
χ312222-2-2-22222-2-2-22-2-2222-2002-2002-200000000-2000020000000000
χ322222-2-2-22222-2-2-22-2-222-2200-22002-20000000020000-20000000000
χ332222-2-2-2-222-2-222-200002-200-2200002i2i−2i−2i000000000000002i−2i0000
χ342222-2-2-2-222-2-222-200002-200-220000−2i−2i2i2i00000000000000−2i2i0000
χ352222-2-2-2-222-2-222-20000-22002-200002i2i−2i−2i00000000000000−2i2i0000
χ362222-2-2-2-222-2-222-20000-22002-20000−2i−2i2i2i000000000000002i−2i0000
χ37444444-4-4-4-4-4-4-44400000000000000000000000000000000000000
χ384444-4-44-4-4-4-444-4400000000000000000000000000000000000000
χ3944-4-44-4404-40-40000000000000000022−2222−2200000000000000000000
χ4044-4-44-4404-40-400000000000000000−2222−222200000000000000000000
χ4144-4-44-4-40-440400000000000004i−4i00000000000000000000000000
χ4244-4-44-4-40-44040000000000000−4i4i00000000000000000000000000
χ4344-4-4-4440-440-40000000004-4000000000000000000000000000000
χ4444-4-4-4440-440-4000000000-44000000000000000000000000000000
χ4544-4-4-44-404-404000000000000000002i2−2i2−2i22i200000000000000000000
χ4644-4-4-44-404-40400000000000000000−2i22i22i2−2i200000000000000000000
χ474-44-4000-400400004i−4i00000000000000002i2−2i222−220000000000000000
χ484-44-4000-400400004i−4i0000000000000000−2i22i2−22220000000000000000
χ494-44-4000-40040000−4i4i00000000000000002i2−2i2−22220000000000000000
χ504-44-4000-40040000−4i4i0000000000000000−2i22i222−220000000000000000
χ518-88-8000800-8000000000000000000000000000000000000000000
χ528-8-8800000000000004i2−4i20000000000000000000000000000000000
χ538-8-880000000000000−4i24i20000000000000000000000000000000000

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