Finite Group Databasebeta

← Group #297331

Character table — Group #297331

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111112222444444448888888888888816161616161616161616161616161616161616161616
order12222222222244444444224444888888882224444444444444448888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ311111111111111111111111111-1-1-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1111111-1-1-1-1
χ511111111111111111111-1-111-1-11111111111-1-1-1-1-1-1-111-1-1-11111-1-1-1-1
χ611111111111111111111-1-111-1-111111111-1-11-1-11111-1-1111-1-1-1-1-1-1-1-1
χ711111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-111-1-1-1-11111
χ811111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11-1-111111111
χ9111111111111-1-1-1-1111111-1-1111111-1-1-1-11-11-1-1-1-1111-11-1-111-1-111-1-1
χ10111111111111-1-1-1-1111111-1-1111111-1-1-1-1-11-1-1-111-1-1-11-111-1-11111-1-1
χ11111111111111-1-1-1-1111111-1-111-1-1-1-111111-11-1-1-1-1-1-11-1111-1-111-1-111
χ12111111111111-1-1-1-1111111-1-111-1-1-1-11111-11-1-1-11111-11-1-1-111-1-1-1-111
χ13111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11-1-11111-1-11-1-11111-1-1-1-111
χ14111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-11111-1-111-111-1-1-1-111-1-111
χ15111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-1-11111111-1-1-1-1-1-11111-1-1
χ16111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11111-1-1-1-1-1111111-1-111-1-1
χ1722222222222222-2-2-2-2-2-2222-2-2-200000000000-2200000000000000000
χ1822222222222222-2-2-2-2-2-2-2-22-222000000000002-200000000000000000
χ19222222222222-2-222-2-2-2-222-22-2-2000000000002-200000000000000000
χ20222222222222-2-222-2-2-2-2-2-2-222200000000000-2200000000000000000
χ2122222222-2-2-2-2222222-2-200-2-20000000000002002-20000-20000000000
χ2222222222-2-2-2-2222222-2-200-2-2000000000000-200-22000020000000000
χ2322222222-2-2-2-222-2-2-2-22200-220000000000220000000-2-200000000000
χ2422222222-2-2-2-222-2-2-2-22200-220000000000-2-200000002200000000000
χ2522222222-2-2-2-2-2-222-2-222002-200000000002-20000000-2200000000000
χ2622222222-2-2-2-2-2-222-2-222002-20000000000-2200000002-200000000000
χ2722222222-2-2-2-2-2-2-2-222-2-20022000000000000200-220000-20000000000
χ2822222222-2-2-2-2-2-2-2-222-2-20022000000000000-2002-2000020000000000
χ292-2-2-22-2222-2-2200002-22-22-2002-2000022-2-2000000000000000000002-2
χ302-2-2-22-2222-2-2200002-22-22-2002-20000-2-22200000000000000000000-22
χ312-2-2-22-2222-2-2200002-22-2-2200-22000022-2-200000000000000000000-22
χ322-2-2-22-2222-2-2200002-22-2-2200-220000-2-222000000000000000000002-2
χ332-2-2-22-2222-2-220000-22-222-200-2222-2-200000000000000000000002-200
χ342-2-2-22-2222-2-220000-22-222-200-22-2-2220000000000000000000000-2200
χ352-2-2-22-2222-2-220000-22-22-22002-222-2-20000000000000000000000-2200
χ362-2-2-22-2222-2-220000-22-22-22002-2-2-22200000000000000000000002-200
χ37444-4-4-44-40000004i−4i000000000000000000000000000000002-22i−2i0000
χ38444-4-4-44-40000004i−4i00000000000000000000000000000000-22−2i2i0000
χ39444-4-4-44-4000000−4i4i000000000000000000000000000000002-2−2i2i0000
χ40444-4-4-44-4000000−4i4i00000000000000000000000000000000-222i−2i0000
χ4144-4-4-44-4444-4-4000000000000002i2−2i22i2−2i200000000000000000000000000
χ4244-4-4-44-4444-4-400000000000000−2i22i2−2i22i200000000000000000000000000
χ4344-4-4-44-44-4-44400000000000000000022−2222−220000000000000000000000
χ4444-4-4-44-44-4-444000000000000000000−2222−22220000000000000000000000
χ454-444-4-4-444-44-4000000000000002i2−2i2−2i22i200000000000000000000000000
χ464-444-4-4-444-44-400000000000000−2i22i22i2−2i200000000000000000000000000
χ474-444-4-4-44-44-4400000000000000000022−22−22220000000000000000000000
χ484-444-4-4-44-44-44000000000000000000−222222−220000000000000000000000
χ494-44-444-4-400004-40000000000000000000000000002i−2i0002i−2i00000000
χ504-44-444-4-400004-4000000000000000000000000000−2i2i000−2i2i00000000
χ514-44-444-4-40000-440000000000000000000000000002i−2i000−2i2i00000000
χ524-44-444-4-40000-44000000000000000000000000000−2i2i0002i−2i00000000
χ534-4-4-44-444-444-400004-4-44000000000000000000000000000000000000
χ544-4-4-44-444-444-40000-444-4000000000000000000000000000000000000
χ5588-888-8-8-8000000000000000000000000000000000000000000000000
χ568-8-88-888-8000000000000000000000000000000000000000000000000

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