Finite Group Databasebeta

← Group #248036

Character table — Group #248036

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size1111222222224444444888888888888888888881616161616161616161616161616163232
order12222244444422224442222444444448888888822444444444888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1111-1-111-1-1-1-1-1-1
χ3111111111111111111111-1-11111-1-1-1-111111111-1-11111-111-1-1-1-1-1-1-1-1
χ4111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111
χ51111111111111111111-1-111-1-111111111111111-1-1-1-1-1-11-1-1-1-11111-1-1
χ61111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-1-1-111
χ71111111111111111111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-111-1-1-1-111
χ81111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111111111-1-1
χ9111111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1111-1-1-111-1-1-111-1-11-1
χ10111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1111111-11-1-11-11-1-1-1-111-11
χ11111111111111-1-1-1-111111-1-111-1-111111111-1-1-1-1-1-11-1-1-1-11-111-1-111-11
χ12111111111111-1-1-1-111111-1-111-1-11111-1-1-1-11111-1-1-11-1-1-1-111111-1-11-1
χ13111111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111-111111-1-1-11
χ14111111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-11111-111-1-1111-1
χ15111111111111-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-111-1111-1-11-1-1-1-1111-1
χ16111111111111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-11111111-111-11-1-1-111-1-1-11
χ172222222222-2-22222-2-2-2002200-2-2-2-22200000000000000-20000000000
χ182222222222-2-22222-2-2-200-2-200-2-222-2-20000000000000020000000000
χ192222222222-2-2-2-2-2-2-2-2-20022002222-2-200000000000000-20000000000
χ202222222222-2-2-2-2-2-2-2-2-200-2-20022-2-2220000000000000020000000000
χ21222222-2-2-2-22222-2-22-2-22200-2-22-200000000000000002-200000000000
χ22222222-2-2-2-22222-2-22-2-2-2-200222-20000000000000000-2200000000000
χ23222222-2-2-2-222-2-2222-2-22200-2-2-220000000000000000-2200000000000
χ24222222-2-2-2-222-2-2222-2-2-2-20022-2200000000000000002-200000000000
χ25222222-2-2-2-2-2-222-2-2-222000000-220000000000002-200000002-2000000
χ26222222-2-2-2-2-2-222-2-2-222000000-22000000000000-220000000-22000000
χ27222222-2-2-2-2-2-2-2-222-2220000002-20000000000002-20000000-22000000
χ28222222-2-2-2-2-2-2-2-222-2220000002-2000000000000-2200000002-2000000
χ292222-2-22-22-2220000-22-22-2002-2000000000022-2-200020000-200000000
χ302222-2-22-22-2220000-22-22-2002-20000000000-2-222000-20000200000000
χ312222-2-22-22-2220000-22-2-2200-22000000000022-2-2000-20000200000000
χ322222-2-22-22-2220000-22-2-2200-220000000000-2-22200020000-200000000
χ332222-2-2-22-22220000-2-222-200-2200000022-2-200000020000-2000000000
χ342222-2-2-22-22220000-2-222-200-22000000-2-222000000-200002000000000
χ352222-2-2-22-22220000-2-22-22002-200000022-2-2000000-200002000000000
χ362222-2-2-22-22220000-2-22-22002-2000000-2-22200000020000-2000000000
χ372-22-2-2222-2-2002-22-2000002-20000002-2i2−i2i2−i2i2−i2i2−i200000000000i2−i2i2−i200
χ382-22-2-2222-2-2002-22-2000002-20000002-2−i2i2−i2i2−i2i2−i2i200000000000−i2i2−i2i200
χ392-22-2-2222-2-2002-22-200000-22000000-22i2−i2i2−i2i2−i2i2−i200000000000−i2i2−i2i200
χ402-22-2-2222-2-2002-22-200000-22000000-22−i2i2−i2i2−i2i2−i2i200000000000i2−i2i2−i200
χ412-22-2-2222-2-200-22-22000002-2000000-22i2−i2i2−i2−i2i2−i2i200000000000i2−i2−i2i200
χ422-22-2-2222-2-200-22-22000002-2000000-22−i2i2−i2i2i2−i2i2−i200000000000−i2i2i2−i200
χ432-22-2-2222-2-200-22-2200000-220000002-2i2−i2i2−i2−i2i2−i2i200000000000−i2i2i2−i200
χ442-22-2-2222-2-200-22-2200000-220000002-2−i2i2−i2i2i2−i2i2−i200000000000i2−i2−i2i200
χ454444-4-44-44-4-4-400004-440000000000000000000000000000000000000
χ464444-4-4-44-44-4-4000044-40000000000000000000000000000000000000
χ474-44-44-44-4-4400000000000000000000000002i2−2i2−2i22i200000000000000000
χ484-44-44-44-4-440000000000000000000000000−2i22i22i2−2i200000000000000000
χ494-44-44-4-444-40000000000000000000002i2−2i2−2i22i2000000000000000000000
χ504-44-44-4-444-4000000000000000000000−2i22i22i2−2i2000000000000000000000
χ514-44-4-44-4-444004-4-440000000000000000000000000000000000000000
χ524-44-4-44-4-44400-444-40000000000000000000000000000000000000000
χ5388-8-8000000000000000000000004i−4i000000000000000000000000000
χ5488-8-800000000000000000000000−4i4i000000000000000000000000000
χ558-8-880000008-800000000000000000000000000000000000000000000
χ568-8-88000000-8800000000000000000000000000000000000000000000

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