Finite Group Databasebeta

← Group #348035

Character table — Group #348035

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111122222222444444444444444888888888888888888888816161616323232323232
order12222244888844444444488888822444444448888888888884444248888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-11-1-11-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ4111111111111111111111111111-1-1-1-11-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111-1-1-1-11111-1-1-1-11-11-1-11-1-11-111-1-111-1-111-1-11111-1-111-1-1
χ6111111111111111-1-1-1-11111-1-1-1-11-11-1-11-1-11-111-1-111-1-111-1-1-1-1-1-111-1-111
χ7111111111111111-1-1-1-11111-1-1-1-1-11-11-1-11-1-11-1-11111-1-1-1-1111111-1-1-1-111
χ8111111111111111-1-1-1-11111-1-1-1-1-11-11-1-11-1-11-1-11111-1-1-1-111-1-1-1-11111-1-1
χ911111111-1-1-1-1111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11-11-1
χ1011111111-1-1-1-1111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-11
χ1111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-1111111-1-11-1-11-11
χ1211111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-11111-1-111-111-11-1
χ1311111111-1-1-1-1111-1-1-1-111-1-111111-11-1-11-1-11-1-1-111-1-111-1-11111-1-1-111-1-11
χ1411111111-1-1-1-1111-1-1-1-111-1-111111-11-1-11-1-11-1-1-111-1-111-1-111-1-1111-1-111-1
χ1511111111-1-1-1-1111-1-1-1-111-1-11111-11-11-1-11-1-1111-1-1-1-11111-1-111-1-1-11-111-1
χ1611111111-1-1-1-1111-1-1-1-111-1-11111-11-11-1-11-1-1111-1-1-1-11111-1-1-1-1111-11-1-11
χ172222222222222-2-22222-2-22222220000-200-2000000-2-2-2-200000000000000
χ182222222222222-2-2-2-2-2-2-2-222-2-2-2-200002002000000-2-22200000000000000
χ1922222222-2-2-2-22-2-22222-2-2-2-2-2-2-2-20000-200-2000000222200000000000000
χ2022222222-2-2-2-22-2-2-2-2-2-2-2-2-2-222220000200200000022-2-200000000000000
χ21222222-2-20000-22222-2-2-2-20000000000200-2002i−2i2i−2i00002i−2i2i−2i0000000000
χ22222222-2-20000-22222-2-2-2-20000000000200-200−2i2i−2i2i0000−2i2i−2i2i0000000000
χ23222222-2-20000-222-2-222-2-20000000000-2002002i−2i−2i2i00002i−2i−2i2i0000000000
χ24222222-2-20000-222-2-222-2-20000000000-200200−2i2i2i−2i0000−2i2i2i−2i0000000000
χ25222222-2-20000-2-2-222-2-22200000022-2-2-2222-2-20000000000000000000000
χ26222222-2-20000-2-2-222-2-222000000-2-222-2-2-22220000000000000000000000
χ27222222-2-20000-2-2-2-2-222220000002-2-2222-2-2-220000000000000000000000
χ28222222-2-20000-2-2-2-2-22222000000-222-22-22-22-20000000000000000000000
χ292222-2-2222222-22-200002-2-2-20000020200-200-200222-20000-2-20000000000
χ302222-2-2222222-22-200002-2-2-200000-20-200200200-2-22-20000220000000000
χ312222-2-2222222-2-220000-22-2-2000020200-200-202200-2200-2-2000000000000
χ322222-2-2222222-2-220000-22-2-20000-20-20020020-2-200-220022000000000000
χ332222-2-222-2-2-2-2-22-200002-2220000020200-200-200-2-2-220000220000000000
χ342222-2-222-2-2-2-2-22-200002-22200000-20-20020020022-220000-2-20000000000
χ352222-2-222-2-2-2-2-2-220000-2222000020200-200-20-2-2002-20022000000000000
χ362222-2-222-2-2-2-2-2-220000-22220000-20-2002002022002-200-2-2000000000000
χ372222-2-2-2-2000022-20000-22002i2i−2i−2i20-200-20020002i−2i002i−2i00−2i2i0000000000
χ382222-2-2-2-2000022-20000-22002i2i−2i−2i-20200200-2000−2i2i002i−2i002i−2i0000000000
χ392222-2-2-2-2000022-20000-2200−2i−2i2i2i20-200-2002000−2i2i00−2i2i002i−2i0000000000
χ402222-2-2-2-2000022-20000-2200−2i−2i2i2i-20200200-20002i−2i00−2i2i00−2i2i0000000000
χ412222-2-2-2-200002-2200002-2002i2i−2i−2i020-200-20022i−2i0000−2i2i−2i2i000000000000
χ422222-2-2-2-200002-2200002-2002i2i−2i−2i0-20200200-2−2i2i0000−2i2i2i−2i000000000000
χ432222-2-2-2-200002-2200002-200−2i−2i2i2i020-200-2002−2i2i00002i−2i2i−2i000000000000
χ442222-2-2-2-200002-2200002-200−2i−2i2i2i0-20200200-22i−2i00002i−2i−2i2i000000000000
χ4544-4-400-444i4i−4i−4i00000000000000000000000000000000000002i−2i2-2000000
χ4644-4-400-444i4i−4i−4i0000000000000000000000000000000000000−2i2i-22000000
χ4744-4-400-44−4i−4i4i4i00000000000000000000000000000000000002i−2i-22000000
χ4844-4-400-44−4i−4i4i4i0000000000000000000000000000000000000−2i2i2-2000000
χ494-44-44-4002i2−2i22i2−2i2000004i−4i002i2−2i222−2222−2200000000000000000000000000000000
χ504-44-44-4002i2−2i22i2−2i200000−4i4i002i2−2i2−2222−222200000000000000000000000000000000
χ514-44-44-400−2i22i2−2i22i2000004i−4i00−2i22i2−2222−222200000000000000000000000000000000
χ524-44-44-400−2i22i2−2i22i200000−4i4i00−2i22i222−2222−2200000000000000000000000000000000
χ534-44-4-44002i2−2i22i2−2i20004-40000−2i22i22i2−2i2−2i22i200000000000000000000000000000000
χ544-44-4-44002i2−2i22i2−2i2000-440000−2i22i2−2i22i22i2−2i200000000000000000000000000000000
χ554-44-4-4400−2i22i2−2i22i20004-400002i2−2i2−2i22i22i2−2i200000000000000000000000000000000
χ564-44-4-4400−2i22i2−2i22i2000-4400002i2−2i22i2−2i2−2i22i200000000000000000000000000000000
χ5788-8-8008-8000000000000000000000000000000000000000000000000000
χ588-8-88000042−42−424200000000000000000000000000000000000000000000000
χ598-8-880000−424242−4200000000000000000000000000000000000000000000000

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