Finite Group Databasebeta

← Group #261160

Character table — Group #261160

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222244444444444488888888161616161616161616161616161616161616161616161616
order12222222222244444444444444444444224444444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-1-1-111-1-111-1-1-1-11-11-1111-11-111-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-111-1-111-1-1-1-11-11-1-1-11-11-1-1-11111-1-1-1-11111
χ7111111111111111111-1-1-1-111-1-111-1-1-1-1-11-1111-11-1111-1-1-1-1-1-1-1-11111
χ8111111111111111111-1-1-1-111-1-111-1-1-1-1-11-11-1-1-11-11-1-111111111-1-1-1-1
χ9111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-111-1-111-1-111-1-111-1-1
χ10111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111-1-111
χ11111111111111-1-1-1-111111111-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1-1-111-1-111
χ12111111111111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-111-1-111-1-11111-1-111-1-1
χ13111111111111-1-1-1-111-1-1-1-11111-1-111-1-11-1-1111-111-1-1-1-1-11111-1-1-1-111
χ14111111111111-1-1-1-111-1-1-1-11111-1-111-1-11-1-11-1-1-111-11111-1-1-1-11111-1-1
χ15111111111111-1-1-1-111-1-1-1-11111-1-111-1-1-111-1111-1-11-1-1-1-111-1-11111-1-1
χ16111111111111-1-1-1-111-1-1-1-11111-1-111-1-1-111-1-1-11-1-111111-1-111-1-1-1-111
χ172222222222222222-2-22222-2-222-2-2-2-2-2-2000000000000000000000000
χ182222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000
χ19222222222222-2-2-2-2-2-22222-2-2-2-22222-2-2000000000000000000000000
χ20222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-222000000000000000000000000
χ2122222222-2-2-2-222-2-22-200002-2002-200000202000-20-200000000000000
χ2222222222-2-2-2-222-2-22-200002-2002-200000-20-200020200000000000000
χ2322222222-2-2-2-222-2-2-220000-2200-220000202000-20-2000000000000000
χ2422222222-2-2-2-222-2-2-220000-2200-220000-20-2000202000000000000000
χ2522222222-2-2-2-2-2-2222-200002-200-220000020-200020-200000000000000
χ2622222222-2-2-2-2-2-2222-200002-200-2200000-202000-20200000000000000
χ2722222222-2-2-2-2-2-222-220000-22002-2000020-200020-2000000000000000
χ2822222222-2-2-2-2-2-222-220000-22002-20000-202000-202000000000000000
χ2922-22-2-2-222-22-22i−2i2i−2i0022-2-2002i−2i0000000000000000000000i2−i22−2i2−i22−2
χ3022-22-2-2-222-22-22i−2i2i−2i0022-2-2002i−2i0000000000000000000000−i2i2−22−i2i2−22
χ3122-22-2-2-222-22-22i−2i2i−2i00-2-22200−2i2i0000000000000000000000i2−i22−2−i2i2−22
χ3222-22-2-2-222-22-22i−2i2i−2i00-2-22200−2i2i0000000000000000000000−i2i2−22i2−i22−2
χ3322-22-2-2-222-22-2−2i2i−2i2i0022-2-200−2i2i0000000000000000000000i2−i2−22i2−i2−22
χ3422-22-2-2-222-22-2−2i2i−2i2i0022-2-200−2i2i0000000000000000000000−i2i22−2−i2i22−2
χ3522-22-2-2-222-22-2−2i2i−2i2i00-2-222002i−2i0000000000000000000000i2−i2−22−i2i22−2
χ3622-22-2-2-222-22-2−2i2i−2i2i00-2-222002i−2i0000000000000000000000−i2i22−2i2−i2−22
χ372-2-2-22-222-222-20000222-22-2-2-20000002-200002i−2i0000002i−2i0000000000
χ382-2-2-22-222-222-20000222-22-2-2-20000002-20000−2i2i000000−2i2i0000000000
χ392-2-2-22-222-222-2000022-22-22-2-2000000-2200002i−2i000000−2i2i0000000000
χ402-2-2-22-222-222-2000022-22-22-2-2000000-220000−2i2i0000002i−2i0000000000
χ412-2-2-22-222-222-20000-2-22-22-222000000-2200000000002-2002-200000000
χ422-2-2-22-222-222-20000-2-22-22-222000000-220000000000-2200-2200000000
χ432-2-2-22-222-222-20000-2-2-22-22220000002-200000000002-200-2200000000
χ442-2-2-22-222-222-20000-2-2-22-22220000002-20000000000-22002-200000000
χ4544-44-4-4-44-44-444i−4i−4i4i0000000000000000000000000000000000000000
χ4644-44-4-4-44-44-44−4i4i4i−4i0000000000000000000000000000000000000000
χ474-44-4-44-4444-4-400000000000000004i−4i00000000000000000000000000
χ484-44-4-44-4444-4-40000000000000000−4i4i00000000000000000000000000
χ494-44-4-44-44-4-4440000004-4-440000000000000000000000000000000000
χ504-44-4-44-44-4-444000000-444-40000000000000000000000000000000000
χ514-4-4-44-4444-4-4400004-40000-4400000000000000000000000000000000
χ524-4-4-44-4444-4-440000-4400004-400000000000000000000000000000000
χ53888-8-8-88-8000000000000000000000000000000000000000000000000
χ5488-8-888-8-8000000000000000000000000000000000000000000000000
χ558-8888-8-8-8000000000000000000000000000000000000000000000000
χ568-8-88-888-8000000000000000000000000000000000000000000000000

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