Finite Group Databasebeta

← Group #347961

Character table — Group #347961

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111122222222222244444444488888888888888888888888816161616323232323232
order12222244444488884448888882244444444448888888888884444228888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-11-111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-111-1-1
χ411111111111111111111111111-11-111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-111
χ51111111111111111111111111-11-11-1-111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111
χ61111111111111111111111111-11-11-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1
χ71111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ81111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ9111111111111-1-1-1-1111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11-11-1
χ10111111111111-1-1-1-1111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-11
χ11111111111111-1-1-1-1111-1-1-1-1-1-11-11-111-1-1-1-1-1-1-1-111-1-111111111-1-1-111-1-11
χ12111111111111-1-1-1-1111-1-1-1-1-1-11-11-111-1-1-1-1-1-1-1-111-1-1111111-1-1111-1-111-1
χ13111111111111-1-1-1-1111-1-1-1-1-1-1-11-11-1-111-1-1-1-111-1-111-1-1111111-1-1-11-111-1
χ14111111111111-1-1-1-1111-1-1-1-1-1-1-11-11-1-111-1-1-1-111-1-111-1-11111-1-1111-11-1-11
χ15111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-11-1-11-11
χ16111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-111-11-1
χ1722222222-222-20000-2-2-200000022-2-22-22-222-2-20000000000000000000000
χ1822222222-222-20000-2-2-20000002-2-222-2-22-2-2220000000000000000000000
χ1922222222-222-20000-2-2-2000000-222-2-222-2-2-2220000000000000000000000
χ2022222222-222-20000-2-2-2000000-2-222-22-2222-2-20000000000000000000000
χ21222222-2-22-2-2222222-2-222-2-2-2-2000000002-22-20000000022-2-20000000000
χ22222222-2-22-2-2222222-2-222-2-2-2-200000000-22-2200000000-2-2220000000000
χ23222222-2-22-2-22-2-2-2-22-2-2-2-22222000000002-22-200000000-2-2220000000000
χ24222222-2-22-2-22-2-2-2-22-2-2-2-2222200000000-22-220000000022-2-20000000000
χ25222222-2-2-2-2-2-20000-222000000000000002-2-222i−2i2i−2i2i−2i2i−2i00000000000000
χ26222222-2-2-2-2-2-20000-222000000000000002-2-22−2i2i−2i2i−2i2i−2i2i00000000000000
χ27222222-2-2-2-2-2-20000-22200000000000000-222-22i−2i−2i2i2i−2i−2i2i00000000000000
χ28222222-2-2-2-2-2-20000-22200000000000000-222-2−2i2i2i−2i−2i2i2i−2i00000000000000
χ292222-2-22-222-222222-22-2-2-222-2-2020200-2-20000002200-2-200000000000000
χ302222-2-22-222-222222-22-2-2-222-2-20-20-20022000000-2-2002200000000000000
χ312222-2-22-222-22-2-2-2-2-22-222-2-222020200-2-2000000-2-2002200000000000000
χ322222-2-22-222-22-2-2-2-2-22-222-2-2220-20-200220000002200-2-200000000000000
χ332222-2-22-2-22-2-200002-22000000020-200-2200002i−2i00−2i2i002i−2i2i−2i0000000000
χ342222-2-22-2-22-2-200002-22000000020-200-220000−2i2i002i−2i00−2i2i−2i2i0000000000
χ352222-2-22-2-22-2-200002-220000000-202002-200002i−2i00−2i2i00−2i2i−2i2i0000000000
χ362222-2-22-2-22-2-200002-220000000-202002-20000−2i2i002i−2i002i−2i2i−2i0000000000
χ372222-2-2-222-2222222-2-22-2-2-2-2222020-2-20000002200-2-20000000000000000
χ382222-2-2-222-2222222-2-22-2-2-2-222-20-2022000000-2-200220000000000000000
χ392222-2-2-222-222-2-2-2-2-2-222222-2-22020-2-2000000-2-200220000000000000000
χ402222-2-2-222-222-2-2-2-2-2-222222-2-2-20-20220000002200-2-20000000000000000
χ412222-2-2-22-2-22-2000022-200000020-20-22000000002i−2i00−2i2i2i−2i−2i2i0000000000
χ422222-2-2-22-2-22-2000022-200000020-20-2200000000−2i2i002i−2i−2i2i2i−2i0000000000
χ432222-2-2-22-2-22-2000022-2000000-20202-2000000002i−2i00−2i2i−2i2i2i−2i0000000000
χ442222-2-2-22-2-22-2000022-2000000-20202-200000000−2i2i002i−2i2i−2i−2i2i0000000000
χ4544-4-40000400-444-4-40000000000000000000000000000000002i−2i2i−2i000000
χ4644-4-40000400-444-4-4000000000000000000000000000000000−2i2i−2i2i000000
χ4744-4-40000400-4-4-4440000000000000000000000000000000002i−2i−2i2i000000
χ4844-4-40000400-4-4-444000000000000000000000000000000000−2i2i2i−2i000000
χ494-44-44-4440-4-4022−2222−2200022−2222−2222−220000000000000000000000000000000000
χ504-44-44-4440-4-40−2222−2222000−2222−2222−22220000000000000000000000000000000000
χ514-44-44-4-4-4044022−2222−2200022−22−2222−22220000000000000000000000000000000000
χ524-44-44-4-4-40440−2222−2222000−222222−2222−220000000000000000000000000000000000
χ534-44-4-444-40-44022−2222−22000−222222−22−22220000000000000000000000000000000000
χ544-44-4-444-40-440−2222−222200022−22−222222−220000000000000000000000000000000000
χ554-44-4-44-4404-4022−2222−22000−2222−222222−220000000000000000000000000000000000
χ564-44-4-44-4404-40−2222−222200022−2222−22−22220000000000000000000000000000000000
χ5788-8-80000-800800000000000000000000000000000000000000000000000
χ588-8-880000000042−42−42420000000000000000000000000000000000000000000
χ598-8-8800000000−424242−420000000000000000000000000000000000000000000

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