Finite Group Databasebeta

← Group #284747

Character table — Group #284747

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222222224488888888888888888888161616161616161616161616161616163232
order12222222444444444422224444888888888888222444448888888824
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-11111-1-1-1-1-1-111-11111-1-1-111-1-1-1-1-1-1
χ31111111111111111111111-1-11111-1-1-1-111-1-1-1-1111-11-1-1111-1-1-1-1-1-1-11
χ41111111111111111111111-1-111-1-1-1-1-1-1-1-1111111-1-11-1-1-1-1-1-1-111111-1
χ511111111111111111111-1-1111111-1-1-1-111-1-1-1-1-1-111-1111-1-1-1-111-1-11-1
χ611111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-11-111-111-1-1-1-111-11
χ711111111111111111111-1-1-1-111111111111111-1-11-1-1-1-11-1-111-1-111-1-1
χ811111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ9111111111111111111-1-11111-1-1111111111111-1-1-111-1-1-111-1-111-1-1-1-1
χ10111111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-11-1-1-1-1-1-11111
χ11111111111111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111-11111-1-1111-1
χ12111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-11111-1-11111-1-1-11
χ13111111111111111111-1-1-1-111-1-111-1-1-1-111-1-1-1-111-11-1-1-1-1-1-1111111-11
χ14111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-111111-1-1-1-11-1
χ15111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-111-1-1-1-1-1-1-1-1-111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-1-111111-1-11111-1-1
χ17222222222-2-2222-2-2-2-2220000-2-2220000-2-200000020000-20000000000
χ18222222222-2-2222-2-2-2-2220000-2-2-2-2000022000000-2000020000000000
χ19222222222-2-2222-2-2-2-2-2-2000022220000-2-2000000-2000020000000000
χ20222222222-2-2222-2-2-2-2-2-2000022-2-200002200000020000-20000000000
χ2122222222-222-2-2-222-2-2002222000022-2-2000000000-2-20000000000000
χ2222222222-222-2-2-222-2-20022-2-20000-2-2220000000002-20000000000000
χ2322222222-222-2-2-222-2-200-2-2220000-2-222000000000-220000000000000
χ2422222222-222-2-2-222-2-200-2-2-2-2000022-2-2000000000220000000000000
χ2522-2-22-2-22222-22-2-2-2-2200000000002i−2i2i−2i0000002-20002i−2i00000000000
χ2622-2-22-2-22222-22-2-2-2-2200000000002i−2i2i−2i000000-22000−2i2i00000000000
χ2722-2-22-2-22222-22-2-2-2-220000000000−2i2i−2i2i0000002-2000−2i2i00000000000
χ2822-2-22-2-22222-22-2-2-2-220000000000−2i2i−2i2i000000-220002i−2i00000000000
χ2922-2-22-2-22-2222-22-2-22-22-200002-2002i−2i−2i2i00000000000000002i−2i000000
χ3022-2-22-2-22-2222-22-2-22-22-200002-200−2i2i2i−2i0000000000000000−2i2i000000
χ3122-2-22-2-22-2222-22-2-22-2-220000-22002i−2i−2i2i0000000000000000−2i2i000000
χ3222-2-22-2-22-2222-22-2-22-2-220000-2200−2i2i2i−2i00000000000000002i−2i000000
χ3322-2-22-2-22-2-2-22-2222-222-20000-220000000022-2-2000000000000002-200
χ3422-2-22-2-22-2-2-22-2222-222-20000-2200000000-2-22200000000000000-2200
χ3522-2-22-2-22-2-2-22-2222-22-2200002-20000000022-2-200000000000000-2200
χ3622-2-22-2-22-2-2-22-2222-22-2200002-200000000-2-222000000000000002-200
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000
χ3844-4-44-4-444-4-4-44-4444-400000000000000000000000000000000000000
χ394-4444-4-4-44004-4-40000000000000000004i−4i0000000000000000000000
χ404-4444-4-4-44004-4-4000000000000000000−4i4i0000000000000000000000
χ414-4444-4-4-4-400-4440000000000000000000022−2222−22000000000000000000
χ424-4444-4-4-4-400-44400000000000000000000−2222−2222000000000000000000
χ434-44-4-44-4404-40004-4000000000000000000000000000000000022−220000
χ444-44-4-44-4404-40004-40000000000000000000000000000000000−22220000
χ454-44-4-44-440-44000-440000004-400000000000000000000000000000000
χ464-44-4-44-440-44000-44000000-4400000000000000000000000000000000
χ474-4-44-4-44404-4000-4400000000000000000000000000000022−2200000000
χ484-4-44-4-44404-4000-44000000000000000000000000000000−222200000000
χ494-4-44-4-4440-440004-400004-40000000000000000000000000000000000
χ504-4-44-4-4440-440004-40000-440000000000000000000000000000000000
χ514-4-4-4444-4400-4-440000000000000000000022−22−2222000000000000000000
χ524-4-4-4444-4400-4-4400000000000000000000−222222−22000000000000000000
χ534-4-4-4444-4-40044-40000000000004-40000000000000000000000000000
χ544-4-4-4444-4-40044-4000000000000-440000000000000000000000000000
χ55888-8-8-88-8000000000000000000000000000000000000000000000000
χ5688-88-88-8-8000000000000000000000000000000000000000000000000

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