Finite Group Databasebeta

← Group #348632

Character table — Group #348632

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111122222244444444444444444488888888888888888888816161616323232323232
order12224444442444444488888888882222444444888888888888888448888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-1-11-1-1-1111-1-1-1-1-1-1-1-11111-1-111-1-1
χ411111111111111111111111111111-1-1-1-1-11-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ5111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1-11-11-11-1
χ6111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-11
χ7111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11-1-1-1-1-1-11111111111-1-1-111-1-11
χ8111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11-1-1-1-1-1-111111111-1-1111-1-111-1
χ9111111111111-1-11-1-11111111-1-1-1-1-111-1-1-1-111-11-1-1-1-11111-1-1111111-1-1-1-1
χ10111111111111-1-11-1-11111111-1-1-1-1-111-1-1-1-111-11-1-1-1-11111-1-1-1-1-1-1-1-11111
χ11111111111111-1-11-1-11111111-1-1-1-1-1-1-1111-1-1-111-1-111-1-1-1-1111111-1-1-1-111
χ12111111111111-1-11-1-11111111-1-1-1-1-1-1-1111-1-1-111-1-111-1-1-1-111-1-1-1-11111-1-1
χ13111111111111-1-11-1-11-1-1-1-1-1-11111-111-1-1-1-111-1-11111-1-1-1-11111-1-11-1-11-11
χ14111111111111-1-11-1-11-1-1-1-1-1-11111-111-1-1-1-111-1-11111-1-1-1-111-1-111-111-11-1
χ15111111111111-1-11-1-11-1-1-1-1-1-11111-1-1-1111-1-1-11-111-1-11111-1-111-1-1-11-111-1
χ16111111111111-1-11-1-11-1-1-1-1-1-11111-1-1-1111-1-1-11-111-1-11111-1-1-1-1111-11-1-11
χ1722222222-2-2-2-222-2-2-220000000000222-22-2-2-2-22000000000000000000000
χ1822222222-2-2-2-222-2-2-2200000000002-2-22-22-222-2000000000000000000000
χ1922222222-2-2-2-2-2-2-22220000000000-2222-222-2-2-2000000000000000000000
χ2022222222-2-2-2-2-2-2-22220000000000-2-2-2-22-22222000000000000000000000
χ21222222-2-222-2-200200-22222-2-200000002-2-20002-200-2-20000220000000000
χ22222222-2-222-2-200200-22222-2-20000000-222000-2-200220000-2-20000000000
χ23222222-2-222-2-200200-2-2-2-2-22200000002-2-20002200220000-2-20000000000
χ24222222-2-222-2-200200-2-2-2-2-2220000000-222000-2200-2-20000220000000000
χ25222222-2-2-2-22200-200-20000002i2i−2i−2i00022-2000-202i−2i002i2i−2i−2i000000000000
χ26222222-2-2-2-22200-200-20000002i2i−2i−2i000-2-22000202i−2i00−2i−2i2i2i000000000000
χ27222222-2-2-2-22200-200-2000000−2i−2i2i2i00022-2000-20−2i2i00−2i−2i2i2i000000000000
χ28222222-2-2-2-22200-200-2000000−2i−2i2i2i000-2-2200020−2i2i002i2i−2i−2i000000000000
χ292222-2-22222-2222-222-222-2-2222222-200000-2000-2-2-2000000000000000000
χ302222-2-22222-2222-222-2-2-222-2-2-2-2-2-2-200000-2000222000000000000000000
χ312222-2-22222-22-2-2-2-2-2-222-2-222-2-2-2-22000002000-222000000000000000000
χ322222-2-22222-22-2-2-2-2-2-2-2-222-2-2222220000020002-2-2000000000000000000
χ332222-2-222-2-22-2222-2-2-20000000000-20000020000002i−2i2i−2i2i−2i2i−2i0000000000
χ342222-2-222-2-22-2222-2-2-20000000000-2000002000000−2i2i−2i2i−2i2i−2i2i0000000000
χ352222-2-222-2-22-2-2-2222-20000000000200000-20000002i−2i−2i2i−2i2i2i−2i0000000000
χ362222-2-222-2-22-2-2-2222-20000000000200000-2000000−2i2i2i−2i2i−2i−2i2i0000000000
χ372222-2-2-2-2222-200-200222-2-2-2-2000002-200002-20200002-2-22000000000000
χ382222-2-2-2-2222-200-200222-2-2-2-200000-220000-22020000-222-2000000000000
χ392222-2-2-2-2222-200-2002-2-22222000002-200002-20-20000-222-2000000000000
χ402222-2-2-2-2222-200-2002-2-2222200000-220000-220-200002-2-22000000000000
χ412222-2-2-2-2-2-2-220020020000002i2i−2i−2i02-20000-2200−2i2i2i−2i0000−2i2i0000000000
χ422222-2-2-2-2-2-2-220020020000002i2i−2i−2i0-2200002-200−2i2i−2i2i00002i−2i0000000000
χ432222-2-2-2-2-2-2-22002002000000−2i−2i2i2i02-20000-22002i−2i−2i2i00002i−2i0000000000
χ442222-2-2-2-2-2-2-22002002000000−2i−2i2i2i0-2200002-2002i−2i2i−2i0000−2i2i0000000000
χ454-44-4004-400000004-402i2−2i2002i2−2i22i2−2i22i2−2i20000000000000000000000000000000
χ464-44-4004-400000004-40−2i22i200−2i22i2−2i22i2−2i22i20000000000000000000000000000000
χ474-44-4004-40000000-4402i2−2i2002i2−2i2−2i22i2−2i22i20000000000000000000000000000000
χ484-44-4004-40000000-440−2i22i200−2i22i22i2−2i22i2−2i20000000000000000000000000000000
χ494-44-400-4400004i−4i00002i2−2i200−2i22i222−22−22220000000000000000000000000000000
χ504-44-400-4400004i−4i0000−2i22i2002i2−2i2−222222−220000000000000000000000000000000
χ514-44-400-440000−4i4i00002i2−2i200−2i22i2−222222−220000000000000000000000000000000
χ524-44-400-440000−4i4i0000−2i22i2002i2−2i222−22−22220000000000000000000000000000000
χ534-4-4400004-400000000004i−4i0000000000000000000000000002i−2i2-2000000
χ544-4-4400004-400000000004i−4i000000000000000000000000000−2i2i-22000000
χ554-4-4400004-40000000000−4i4i0000000000000000000000000002i−2i-22000000
χ564-4-4400004-40000000000−4i4i000000000000000000000000000−2i2i2-2000000
χ5788-8-88-800000000000000000000000000000000000000000000000000000
χ5888-8-8-8800000000000000000000000000000000000000000000000000000
χ598-8-880000-880000000000000000000000000000000000000000000000000

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