Finite Group Databasebeta

← Group #288667

Character table — Group #288667

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222222244444444488888888888888888161616161616161616161616161616163232
order12222244444444488888888888888888888888224444448888888824
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-111111-1-1
χ3111111111111111111111111-1-1-1-111111111111-1-11-1-111-111-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1111111-111-111-1-1-1-1-1-1-1-1-1-111
χ51111111111111111111111-1-111111111-1-1-1-1-1-1-111-111111-1-11-1-1-1-1-1-1
χ61111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-11111-1-1-1-111
χ71111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111-11111-1-1
χ9111111111111111-1-1-1-1-1-1-11111-1-1111111-1-1-1-11-111-11-1-1-1-1-1111-1-11-1
χ10111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-11-1-11-111-111111-1-1-11
χ11111111111111111-1-1-1-1-1-1-111-1-111111111-1-1-1-111-111-1-1-11-1-1-1-1-111-11
χ12111111111111111-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-11-1-1111111-1-1-1111-1
χ13111111111111111-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-11-1-11-1-1-1111-1-111-11
χ14111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-111-111-1-1-11-1-1111-1
χ15111111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-11-1-11-1-1-1111-111-1-11-1
χ16111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111-111-11111-1-1-111-1-1-11
χ17222222-22222-2-2-2-222-2-2-2-220022-2-2000000000000000000200-2000000
χ18222222-22222-2-2-2-222-2-2-2-2200-2-222000000000000000000-2002000000
χ19222222-22222-2-2-2-2-2-22222-2002222000000000000000000-200-2000000
χ20222222-22222-2-2-2-2-2-22222-200-2-2-2-20000000000000000002002000000
χ21222222-2-2-2-2-2-2-22200000000000002i2i−2i−2i0022-2-20000000002i−2i0000000
χ22222222-2-2-2-2-2-2-22200000000000002i2i−2i−2i00-2-222000000000−2i2i0000000
χ23222222-2-2-2-2-2-2-2220000000000000−2i−2i2i2i0022-2-2000000000−2i2i0000000
χ24222222-2-2-2-2-2-2-2220000000000000−2i−2i2i2i00-2-2220000000002i−2i0000000
χ252222-2-222-22-22-2-222222-2-2-2000000000000000002-20-22000000000000
χ262222-2-222-22-22-2-222222-2-2-200000000000000000-2202-2000000000000
χ272222-2-222-22-22-2-22-2-2-2-222200000000000000000220-2-2000000000000
χ282222-2-222-22-22-2-22-2-2-2-222200000000000000000-2-2022000000000000
χ292222-2-22-22-222-22-200000002200002-22-2-2-20000200-200000000000000
χ302222-2-22-22-222-22-20000000220000-22-22-2-20000-200200000000000000
χ312222-2-22-22-222-22-20000000-2-200002-22-2220000-200200000000000000
χ322222-2-22-22-222-22-20000000-2-20000-22-22220000200-200000000000000
χ332222-2-2-22-22-2-222-222-2-222-20000002i−2i−2i2i0000000000002i−2i0000000000
χ342222-2-2-22-22-2-222-222-2-222-2000000−2i2i2i−2i000000000000−2i2i0000000000
χ352222-2-2-22-22-2-222-2-2-222-2-220000002i−2i−2i2i000000000000−2i2i0000000000
χ362222-2-2-22-22-2-222-2-2-222-2-22000000−2i2i2i−2i0000000000002i−2i0000000000
χ372-22-2-22022-2-20000002i−2i2i−2i0i2−i22-22i−2i0000i2−i22−22−2000000000000i2−i22−200
χ382-22-2-22022-2-20000002i−2i2i−2i0i2−i2-22−2i2i0000i2−i22−22−2000000000000−i2i2−2200
χ392-22-2-22022-2-20000002i−2i2i−2i0−i2i22-22i−2i0000−i2i2−22−22000000000000−i2i2−2200
χ402-22-2-22022-2-20000002i−2i2i−2i0−i2i2-22−2i2i0000−i2i2−22−22000000000000i2−i22−200
χ412-22-2-22022-2-2000000−2i2i−2i2i0i2−i22-2−2i2i0000i2−i2−22−22000000000000i2−i2−2200
χ422-22-2-22022-2-2000000−2i2i−2i2i0i2−i2-222i−2i0000i2−i2−22−22000000000000−i2i22−200
χ432-22-2-22022-2-2000000−2i2i−2i2i0−i2i22-2−2i2i0000−i2i22−22−2000000000000−i2i22−200
χ442-22-2-22022-2-2000000−2i2i−2i2i0−i2i2-222i−2i0000−i2i22−22−2000000000000i2−i2−2200
χ454444444-4-4-4-444-4-400000000000000000000000000000000000000000
χ464444-4-4-4-44-44-44-4400000000000000000000000000000000000000000
χ474-44-44-404-4-440000004i−4i−4i4i00000000000000000000000000000000000
χ484-44-44-404-4-44000000−4i4i4i−4i00000000000000000000000000000000000
χ494-44-44-40-444-4000000000002i2−2i200000000−2i22i20000000000000000000000
χ504-44-44-40-444-400000000000−2i22i2000000002i2−2i20000000000000000000000
χ514-44-4-440-4-4440000000000000000000000022−22−2222000000000000000000
χ524-44-4-440-4-44400000000000000000000000−222222−22000000000000000000
χ5388-8-80080000-800000000000000000000000000000000000000000000
χ5488-8-800-80000800000000000000000000000000000000000000000000
χ558-8-880000000000042−42000000000000000000000000000000000000000
χ568-8-8800000000000−4242000000000000000000000000000000000000000

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