Finite Group Databasebeta

← Group #263690

Character table — Group #263690

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size1111222222224444444888888888888881616161616161616161616161616161616163232
order12222244444444488882444444488888844444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ31111111111111111111111-1-11-1-111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1
χ41111111111111111111111-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111
χ51111111111111111111-1-1-111-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111
χ61111111111111111111-1-1-111-111111111-1-111-1-1111111-1-1-1-1-1-1-1-1
χ71111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1111111-1-111-1-1
χ81111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-111-1-11111
χ9111111111111111-1-1-1-111111111-1-1-1-1-1-11-1111-1-1-111-1-111-1-1-1-11-1
χ10111111111111111-1-1-1-111111111-1-1-1-1-1-1-11-1-1-1111-1-11111-1-1-1-1-11
χ11111111111111111-1-1-1-1111-1-11-1-1-1-111111-1111-1-1-1-1-111-1-1-1-111-11
χ12111111111111111-1-1-1-1111-1-11-1-1-1-11111-11-1-1-111111-1-1-1-1-1-1111-1
χ13111111111111111-1-1-1-1-1-1-111-111-1-1-1-1-1-11-1-1-11-111-1-111-1-111111-1
χ14111111111111111-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1111-11-1-111-1-1-1-11111-11
χ15111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-11-11111-1-11111-1-1-11
χ16111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1111-11-1-1-1-1111111-1-11-1
χ17222222222-2-22-2-2-200002-2222-2-2-20000000000000000002-2000000
χ18222222222-2-22-2-2-200002-22-2-2-222000000000000000000-22000000
χ19222222222-2-22-2-2-20000-22-2222-2-2000000000000000000-22000000
χ20222222222-2-22-2-2-20000-22-2-2-22220000000000000000002-2000000
χ21222222-2-2-222-22-2-2222200000000-2-20000002-2002-2000000000000
χ22222222-2-2-222-22-2-2222200000000-2-2000000-2200-22000000000000
χ23222222-2-2-222-22-2-2-2-2-2-200000000220000002-200-22000000000000
χ24222222-2-2-222-22-2-2-2-2-2-20000000022000000-22002-2000000000000
χ252222-2-22-2-2222-22-222-2-2000000002-200002200-2-200000000000000
χ262222-2-22-2-2222-22-222-2-2000000002-20000-2-2002200000000000000
χ272222-2-22-2-2222-22-2-2-22200000000-2200002-200-2200000000000000
χ282222-2-22-2-2222-22-2-2-22200000000-220000-22002-200000000000000
χ292222-2-2-22222-2-2-2222-2-222-200-200-220000000000000000002-20000
χ302222-2-2-22222-2-2-2222-2-2-2-2200200-22000000000000000000-220000
χ312222-2-2-22222-2-2-22-2-22222-200-2002-2000000000000000000-220000
χ322222-2-2-22222-2-2-22-2-222-2-22002002-20000000000000000002-20000
χ332222-2-2-222-2-2-222-200002-2-200200002i2i−2i−2i00000000000000002i−2i00
χ342222-2-2-222-2-2-222-200002-2-20020000−2i−2i2i2i0000000000000000−2i2i00
χ352222-2-2-222-2-2-222-20000-22200-200002i2i−2i−2i0000000000000000−2i2i00
χ362222-2-2-222-2-2-222-20000-22200-20000−2i−2i2i2i00000000000000002i−2i00
χ37444444-4-4-4-4-4-4-44400000000000000000000000000000000000000
χ384444-4-44-4-4-4-444-4400000000000000000000000000000000000000
χ3944-4-4000004-400004-40000000000000000000000002-22-200000000
χ4044-4-4000004-400004-4000000000000000000000000-22-2200000000
χ4144-4-4000004-40000-440000000000000000000000002-2-2200000000
χ4244-4-4000004-40000-44000000000000000000000000-222-200000000
χ434-44-44-444-400-40000000000000000022−2222−2200000000000000000000
χ444-44-44-444-400-400000000000000000−2222−222200000000000000000000
χ454-44-44-4-4-4400400000000000004i−4i00000000000000000000000000
χ464-44-44-4-4-440040000000000000−4i4i00000000000000000000000000
χ474-44-4-444-4400-400000000004-400000000000000000000000000000
χ484-44-4-444-4400-40000000000-4400000000000000000000000000000
χ494-44-4-44-44-4004000000000000000002i2−2i2−2i22i200000000000000000000
χ504-44-4-44-44-400400000000000000000−2i22i22i2−2i200000000000000000000
χ5188-8-800000-88000000000000000000000000000000000000000000
χ528-8-8800000000000004i2−4i20000000000000000000000000000000000
χ538-8-880000000000000−4i24i20000000000000000000000000000000000

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