Finite Group Databasebeta

← Group #348555

Character table — Group #348555

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111122222222444444444444444888888888888888888888816161616323232323232
order12222244444444488888888888822444444444488888888884444248888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-11-11-1-1-11-1-1-11-1-11-1-1-1-1-1-11111-1-111-1-1
χ41111111111111111111111111111-11-11-1-1-11-1-1-11-1-11-1-1-1-1-1-1-1-1-1-111-1-111
χ51111111111111111111-1-11111-1-1-11-11-11-1-1-11-1-1-1-1-1-11111-1-111-1-11-11-11-1
χ61111111111111111111-1-11111-1-1-11-11-11-1-1-11-1-1-1-1-1-11111-1-1-1-111-11-11-11
χ71111111111111111111-1-11111-1-1-1-1-1-1-1-111-1-111-111-1-1-1-1-11111-1-1-111-1-11
χ81111111111111111111-1-11111-1-1-1-1-1-1-1-111-1-111-111-1-1-1-1-111-1-1111-1-111-1
χ9111111111111111-1-1-1-111-1-1-1-111-11-11-11-1-1-11-1-11111-1-1-1-1111111-1-1-1-111
χ10111111111111111-1-1-1-111-1-1-1-111-11-11-11-1-1-11-1-11111-1-1-1-111-1-1-1-11111-1-1
χ11111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1111-1-111111-1-1111111-1-1-1-1
χ12111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1111-1-111111-1-1-1-1-1-1-1-11111
χ13111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-11-111-1
χ14111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-11
χ15111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1-1-11-1-1-1-111-111111111-1-11-1-11-11
χ16111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1-1-11-1-1-1-111-1111111-1-111-111-11-1
χ17222222222-22-2-2-2-200000000000022-2-2-2-22222-2-200000000000000000000
χ18222222222-22-2-2-2-20000000000002-2-22-22-2-22-22200000000000000000000
χ19222222222-22-2-2-2-2000000000000-222-22-2-2-2-222200000000000000000000
χ20222222222-22-2-2-2-2000000000000-2-2222222-2-2-2-200000000000000000000
χ21222222-2-2-22-222-2-20000220000-2-20000002-2002-2200-222-2-2000000000000
χ22222222-2-2-22-222-2-20000220000-2-2000000-2200-22200-2-2-222000000000000
χ23222222-2-2-22-222-2-20000-2-20000220000002-2002-2-2002-2-222000000000000
χ24222222-2-2-22-222-2-20000-2-2000022000000-2200-22-200222-2-2000000000000
χ25222222-2-2-2-2-2-2-2222i2i−2i−2i002i2i−2i−2i000000002-200-2202i−2i000002i−2i0000000000
χ26222222-2-2-2-2-2-2-2222i2i−2i−2i002i2i−2i−2i00000000-22002-20−2i2i00000−2i2i0000000000
χ27222222-2-2-2-2-2-2-222−2i−2i2i2i00−2i−2i2i2i000000002-200-220−2i2i00000−2i2i0000000000
χ28222222-2-2-2-2-2-2-222−2i−2i2i2i00−2i−2i2i2i00000000-22002-202i−2i000002i−2i0000000000
χ292222-2-22-2-2222-22-2222222-2-2-2-2-2-22020-2000-2000-20020000000000000000
χ302222-2-22-2-2222-22-22222-2-2-2-2-2-222-20-2020002000200-20000000000000000
χ312222-2-22-2-2222-22-2-2-2-2-2222222-2-2-20-2020002000-20020000000000000000
χ322222-2-22-2-2222-22-2-2-2-2-2-2-22222222020-2000-2000200-20000000000000000
χ332222-2-22-2-2-22-22-2200000000000020-202000-200002i−2i02i−2i2i−2i−2i2i0000000000
χ342222-2-22-2-2-22-22-2200000000000020-202000-20000−2i2i0−2i2i−2i2i2i−2i0000000000
χ352222-2-22-2-2-22-22-22000000000000-2020-2000200002i−2i0−2i2i−2i2i−2i2i0000000000
χ362222-2-22-2-2-22-22-22000000000000-2020-200020000−2i2i02i−2i2i−2i2i−2i0000000000
χ372222-2-2-2222-22-2-2200002200002202020-2000-200-222-20000-2-20000000000
χ382222-2-2-2222-22-2-220000220000220-20-202000200-2-2-2-20000220000000000
χ392222-2-2-2222-22-2-220000-2-20000-2-202020-2000-2002-2-220000220000000000
χ402222-2-2-2222-22-2-220000-2-20000-2-20-20-20200020022220000-2-20000000000
χ412222-2-2-222-2-2-222-22i2i−2i−2i00−2i−2i2i2i00020-202000-20000002i−2i−2i2i000000000000
χ422222-2-2-222-2-2-222-22i2i−2i−2i00−2i−2i2i2i000-2020-20002000000−2i2i2i−2i000000000000
χ432222-2-2-222-2-2-222-2−2i−2i2i2i002i2i−2i−2i00020-202000-2000000−2i2i2i−2i000000000000
χ442222-2-2-222-2-2-222-2−2i−2i2i2i002i2i−2i−2i000-2020-200020000002i−2i−2i2i000000000000
χ4544-4-400000-40400000004i−4i00000000000000000000000000002-22i−2i000000
χ4644-4-400000-40400000004i−4i0000000000000000000000000000-22−2i2i000000
χ4744-4-400000-4040000000−4i4i00000000000000000000000000002-2−2i2i000000
χ4844-4-400000-4040000000−4i4i0000000000000000000000000000-222i−2i000000
χ494-4-444-444-40-400002i2−2i22i2−2i2002i2−2i22i2−2i20000000000000000000000000000000000
χ504-4-444-444-40-40000−2i22i2−2i22i200−2i22i2−2i22i20000000000000000000000000000000000
χ514-4-444-4-4-4404000022−22−22220022−22−22220000000000000000000000000000000000
χ524-4-444-4-4-44040000−222222−2200−222222−220000000000000000000000000000000000
χ534-4-44-444-440-400002i2−2i22i2−2i200−2i22i2−2i22i20000000000000000000000000000000000
χ544-4-44-444-440-40000−2i22i2−2i22i2002i2−2i22i2−2i20000000000000000000000000000000000
χ554-4-44-44-44-404000022−22−222200−222222−220000000000000000000000000000000000
χ564-4-44-44-44-4040000−222222−220022−22−22220000000000000000000000000000000000
χ5788-8-80000080-800000000000000000000000000000000000000000000000
χ588-88-80000000000000000000004i2−4i200000000000000000000000000000000
χ598-88-8000000000000000000000−4i24i200000000000000000000000000000000

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