Finite Group Databasebeta

← Group #348029

Character table — Group #348029

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111122222222444444444444444888888888888888888888816161616323232323232
order12222244888844444444488888822444444448888888888884444448888
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
χ51111111111111-1-111-1-11111-1-1-1-11-11-1-11-1-11-111-1-111-1-111-1-11111-1-111-1-1
χ61111111111111-1-111-1-11111-1-1-1-11-11-1-11-1-11-111-1-111-1-111-1-1-1-1-1-111-1-111
χ71111111111111-1-111-1-11111-1-1-1-1-11-11-1-11-1-11-1-11111-1-1-1-1111111-1-1-1-111
χ81111111111111-1-111-1-11111-1-1-1-1-11-11-1-11-1-11-1-11111-1-1-1-111-1-1-1-11111-1-1
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
χ1311111111-1-1-1-11-1-111-1-111-1-111111-11-1-11-1-11-1-1-111-1-111-1-11111-1-1-111-1-11
χ1411111111-1-1-1-11-1-111-1-111-1-111111-11-1-11-1-11-1-1-111-1-111-1-111-1-1111-1-111-1
χ1511111111-1-1-1-11-1-111-1-111-1-11111-11-11-1-11-1-1111-1-1-1-11111-1-111-1-1-11-111-1
χ1611111111-1-1-1-11-1-111-1-111-1-11111-11-11-1-11-1-1111-1-1-1-11111-1-1-1-1111-11-1-11
χ17222222222222222-2-222-2-22222220000-200-2000000-2-2-2-200000000000000
χ182222222222222-2-2-2-2-2-2-2-222-2-2-2-200002002000000-2-22200000000000000
χ1922222222-2-2-2-2222-2-222-2-2-2-2-2-2-2-20000-200-2000000222200000000000000
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
χ23222222-2-20000-222-2-2-2-2220000002-2-22-2-2222-20000000000000000000000
χ24222222-2-20000-222-2-2-2-222000000-222-2-22-22-220000000000000000000000
χ25222222-2-20000-2-2-22222-2-20000000000-2002002i−2i−2i2i00002i−2i−2i2i0000000000
χ26222222-2-20000-2-2-22222-2-20000000000-200200−2i2i2i−2i0000−2i2i2i−2i0000000000
χ27222222-2-20000-2-2-2-2-2222200000022-2-22-2-2-2220000000000000000000000
χ28222222-2-20000-2-2-2-2-22222000000-2-222222-2-2-20000000000000000000000
χ292222-2-2222222-2002-2002-2-2-20000020200-200-200222-20000-2-20000000000
χ302222-2-2222222-2002-2002-2-2-200000-20-200200200-2-22-20000220000000000
χ312222-2-2222222-200-2200-22-2-2000020200-200-202200-2200-2-2000000000000
χ322222-2-2222222-200-2200-22-2-20000-20-20020020-2-200-220022000000000000
χ332222-2-222-2-2-2-2-2002-2002-2220000020200-200-200-2-2-220000220000000000
χ342222-2-222-2-2-2-2-2002-2002-22200000-20-20020020022-220000-2-20000000000
χ352222-2-222-2-2-2-2-200-2200-2222000020200-200-20-2-2002-20022000000000000
χ362222-2-222-2-2-2-2-200-2200-22220000-20-2002002022002-200-2-2000000000000
χ372222-2-2-2-200002002-200-22002i2i−2i−2i20-200200-20002i−2i002i−2i00−2i2i0000000000
χ382222-2-2-2-200002002-200-22002i2i−2i−2i-20200-2002000−2i2i002i−2i002i−2i0000000000
χ392222-2-2-2-200002002-200-2200−2i−2i2i2i20-200200-2000−2i2i00−2i2i002i−2i0000000000
χ402222-2-2-2-200002002-200-2200−2i−2i2i2i-20200-20020002i−2i00−2i2i00−2i2i0000000000
χ412222-2-2-2-20000200-22002-2002i2i−2i−2i020-200200-2−2i2i0000−2i2i2i−2i000000000000
χ422222-2-2-2-20000200-22002-2002i2i−2i−2i0-20200-20022i−2i0000−2i2i−2i2i000000000000
χ432222-2-2-2-20000200-22002-200−2i−2i2i2i020-200200-22i−2i00002i−2i−2i2i000000000000
χ442222-2-2-2-20000200-22002-200−2i−2i2i2i0-20200-2002−2i2i00002i−2i2i−2i000000000000
χ4544-4-4004-444-4-400000000000000000000000000000000000002-22-2000000
χ4644-4-4004-444-4-40000000000000000000000000000000000000-22-22000000
χ4744-4-4004-4-4-44400000000000000000000000000000000000002-2-22000000
χ4844-4-4004-4-4-4440000000000000000000000000000000000000-222-2000000
χ494-4-444-40022−2222−2204i−4i00000022−222i2−2i22i2−2i200000000000000000000000000000000
χ504-4-444-40022−2222−220−4i4i00000022−22−2i22i2−2i22i200000000000000000000000000000000
χ514-4-444-400−2222−222204i−4i000000−2222−2i22i2−2i22i200000000000000000000000000000000
χ524-4-444-400−2222−22220−4i4i000000−22222i2−2i22i2−2i200000000000000000000000000000000
χ534-4-44-440022−2222−22000004-400−222222−22−222200000000000000000000000000000000
χ544-4-44-440022−2222−2200000-4400−2222−222222−2200000000000000000000000000000000
χ554-4-44-4400−2222−2222000004-40022−22−222222−2200000000000000000000000000000000
χ564-4-44-4400−2222−222200000-440022−2222−22−222200000000000000000000000000000000
χ5788-8-800-88000000000000000000000000000000000000000000000000000
χ588-88-8000042−42−424200000000000000000000000000000000000000000000000
χ598-88-80000−424242−4200000000000000000000000000000000000000000000000

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