Finite Group Databasebeta

← Group #278536

Character table — Group #278536

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111222222222244444444444488888888888888888881616161616161616161632323232
order12224444448888244444448888248888888888888888844888888884488
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ41111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-11-1-111111-1-11-1-11111-1-111111111-1-1-1-111-1-1-1-1-1-111
χ61111111111111111-1-11-1-111111-1-11-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1
χ71111111111111111-1-11-1-111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1
χ81111111111111111-1-11-1-111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111
χ91111111111-1-1-1-111111111-1-1-1-111-1-1-11111-1-111-1-1-1-1-1-111-1-11-111-1-11-11-1
χ101111111111-1-1-1-111111111-1-1-1-111-1-1-11111-1-1-1-111-1-1-1-111-1-1-11-1-111-11-11
χ111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-11111-1-1111-111-1-1-11-11
χ121111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111-1-111-11-1-1111-11-1
χ131111111111-1-1-1-111-1-11-1-11-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-111-111-1
χ141111111111-1-1-1-111-1-11-1-11-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111-1111-1-11-1-11
χ151111111111-1-1-1-111-1-11-1-11-1-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-11-1-1-1111-1-11
χ161111111111-1-1-1-111-1-11-1-11-1-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1111-1-1-111-1
χ1722222222-2-22222-2-222-2-2-2222-2-22-2-2220000-2-20000000000000000000000
χ1822222222-2-22222-2-2-2-2-222222-2-2-22-2-2-20000220000000000000000000000
χ1922222222-2-2-2-2-2-2-2-222-2-2-22-2-2222-22-2-20000220000000000000000000000
χ2022222222-2-2-2-2-2-2-2-2-2-2-2222-2-222-222220000-2-20000000000000000000000
χ2122222-2-22222222-2-200200-2-2-22200-200000000222200000000-2-200000000
χ2222222-2-22222222-2-200200-2-2-22200-200000000-2-2-2-2000000002200000000
χ2322222-2-2222-2-2-2-2-2-200200-222-2-20020000000022-2-200000000-2200000000
χ2422222-2-2222-2-2-2-2-2-200200-222-2-200200000000-2-222000000002-200000000
χ2522222-2-22-2-222222200-200-2-2-2-2-200200000000000000000000002i−2i2i−2i0000
χ2622222-2-22-2-222222200-200-2-2-2-2-20020000000000000000000000−2i2i−2i2i0000
χ2722222-2-22-2-2-2-2-2-22200-200-2222200-200000000000000000000002i−2i−2i2i0000
χ2822222-2-22-2-2-2-2-2-22200-200-2222200-20000000000000000000000−2i2i2i−2i0000
χ292222-222-2220000-2222-222-20000-2-200022-2-200000000002-2000000000000
χ302222-222-2220000-2222-222-20000-2-2000-2-2220000000000-22000000000000
χ312222-222-2220000-22-2-2-2-2-2-200002200022-2-20000000000-22000000000000
χ322222-222-2220000-22-2-2-2-2-2-2000022000-2-22200000000002-2000000000000
χ332222-222-2-2-200002-2222-2-2-20000-2200000000000002i2i−2i−2i002i−2i0000000000
χ342222-222-2-2-200002-2222-2-2-20000-220000000000000−2i−2i2i2i00−2i2i0000000000
χ352222-222-2-2-200002-2-2-2222-200002-200000000000002i2i−2i−2i00−2i2i0000000000
χ362222-222-2-2-200002-2-2-2222-200002-20000000000000−2i−2i2i2i002i−2i0000000000
χ374444-4-4-4-44400004-400-40040000000000000000000000000000000000000
χ384444-4-4-4-4-4-40000-440040040000000000000000000000000000000000000
χ3944-4-4400-40044-4-40000000000000000000000022−2222−22000000000000000000
χ4044-4-4400-40044-4-400000000000000000000000−2222−2222000000000000000000
χ4144-4-4400-400-4-4440000000000000000000000022−22−2222000000000000000000
χ4244-4-4400-400-4-44400000000000000000000000−222222−22000000000000000000
χ434-44-400004-42i2−2i22i2−2i200000000002i2−2i200000002i2−2i20000002-22-200000000000000
χ444-44-400004-42i2−2i22i2−2i200000000002i2−2i20000000−2i22i2000000-22-2200000000000000
χ454-44-400004-4−2i22i2−2i22i20000000000−2i22i200000002i2−2i2000000-22-2200000000000000
χ464-44-400004-4−2i22i2−2i22i20000000000−2i22i20000000−2i22i20000002-22-200000000000000
χ474-44-40000-442i2−2i22i2−2i20000000000−2i22i20000022−22000000002i−2i−2i2i00000000000000
χ484-44-40000-442i2−2i22i2−2i20000000000−2i22i200000−222200000000−2i2i2i−2i00000000000000
χ494-44-40000-44−2i22i2−2i22i200000000002i2−2i20000022−2200000000−2i2i2i−2i00000000000000
χ504-44-40000-44−2i22i2−2i22i200000000002i2−2i200000−2222000000002i−2i−2i2i00000000000000
χ514-4-4404-40002i2−2i2−2i22i2000004-402i2−2i2000000000002i2−2i20000000000000000000000
χ524-4-4404-40002i2−2i2−2i22i200000-4402i2−2i200000000000−2i22i20000000000000000000000
χ534-4-4404-4000−2i22i22i2−2i2000004-40−2i22i200000000000−2i22i20000000000000000000000
χ544-4-4404-4000−2i22i22i2−2i200000-440−2i22i2000000000002i2−2i20000000000000000000000
χ554-4-440-440002i2−2i2−2i22i2004i−4i0000−2i22i20000022−220000000000000000000000000000
χ564-4-440-440002i2−2i2−2i22i200−4i4i0000−2i22i200000−22220000000000000000000000000000
χ574-4-440-44000−2i22i22i2−2i2004i−4i00002i2−2i200000−22220000000000000000000000000000
χ584-4-440-44000−2i22i22i2−2i200−4i4i00002i2−2i20000022−220000000000000000000000000000
χ5988-8-8-8008000000000000000000000000000000000000000000000000000

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