Finite Group Databasebeta

← Group #245461

Character table — Group #245461

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122222222444888888888888888816161616161616161616161616161616161616161616
order12222244444444422444444888888882244444444888888888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-1-1-11-1-111111-1-1111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-111-1-1-1-1111-1-1-11-111-1-1-1-1-1111-1-1-1-1
χ411111111111111111111111-1-1-1-111111-1-1-1-1-11-1-1-1-1-1-111-1-1-11111
χ51111111111111111-11-11-11-111111111-111-1-1-1-1-1-1-1111-1-11-1-111-1-1
χ61111111111111111-11-11-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-111-1-111
χ71111111111111111-11-11-11-1-1-111-1-1-1-1-111111-11-1-1-1-1-1111-1-1-1-111
χ81111111111111111-11-11-11-1-1-1-1-11111-1-1-1111-1111-1-1-1-1-1-11111-1-1
χ9111111111111111-11-11-11-1111111111-1-1-11-1-1-11-1-11-1-1-1-1111-1-111
χ10111111111111111-11-11-11-1111-1-1-1-1-1-1-1111-1-1-11111-1-111-1-1-111-1-1
χ11111111111111111-11-11-11-11-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1111111111-1-1
χ12111111111111111-11-11-11-11-1-1-1-11111-111-111-1-111-111-1-1-1-1-1-1-111
χ13111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1111-1111-1-1111-1-1-1-1-1-1
χ14111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-1111-1-1-11-1-1-1-1-1111111
χ15111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-11-1-11111-111-1-11-1-11111
χ16111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-11111-111-1-1-1-1
χ172222222-222-22-2-2-22222-2-2-2-200000000-2000002000000000000000
χ182222222-222-22-2-2-22-22-2-22-2200000000200000-2000000000000000
χ192222222-222-22-2-2-2-22-222-22-200000000200000-2000000000000000
χ202222222-222-22-2-2-2-2-2-2-2222200000000-2000002000000000000000
χ212222-2-222-2-2222-2-220-20-20200022000002-2000000000000-2000000
χ222222-2-222-2-2222-2-220-20-202000-2-200000-220000000000002000000
χ232222-2-222-2-2222-2-2-202020-20002200000-22000000000000-2000000
χ242222-2-222-2-2222-2-2-202020-2000-2-2000002-20000000000002000000
χ252222-2-22-2-2-2-22-22220-2020-2000000000000000002-20000002-20000
χ262222-2-22-2-2-2-22-22220-2020-200000000000000000-22000000-220000
χ272222-2-22-2-2-2-22-222-2020-202000000000000000002-2000000-220000
χ282222-2-22-2-2-2-22-222-2020-20200000000000000000-220000002-20000
χ292222-2-2-22222-2-22-2020-20-202220000000002000-200-200000000000
χ302222-2-2-22222-2-22-2020-20-202-2-2000000000-2000200200000000000
χ312222-2-2-22222-2-22-20-202020-222000000000-2000200-200000000000
χ322222-2-2-22222-2-22-20-202020-2-2-20000000002000-200200000000000
χ332222-2-2-2-222-2-22-22020-2020-20000000000002-2000002-2000000000
χ342222-2-2-2-222-2-22-22020-2020-2000000000000-2200000-22000000000
χ352222-2-2-2-222-2-22-220-2020-2020000000000002-200000-22000000000
χ362222-2-2-2-222-2-22-220-2020-202000000000000-22000002-2000000000
χ37444444-44-4-44-4-4-4400000000000000000000000000000000000000
χ38444444-4-4-4-4-4-444-400000000000000000000000000000000000000
χ3944-4-44-4404-40-4000000000000000000000000000000000000022−2200
χ4044-4-44-4404-40-40000000000000000000000000000000000000−222200
χ4144-4-44-4-40-44040000000000000000000000000000000000000002i2−2i2
χ4244-4-44-4-40-4404000000000000000000000000000000000000000−2i22i2
χ4344-4-4-4440-440-40000000000000002222−22−220000000000000000000000
χ4444-4-4-4440-440-4000000000000000−22−2222220000000000000000000000
χ4544-4-4-44-404-404000000000000000000000000000000002i2−2i20000000
χ4644-4-4-44-404-40400000000000000000000000000000000−2i22i20000000
χ474-4-44000400-40000000000002i2−2i222−222i−2i2i−2i0000000000000000000000
χ484-4-44000400-40000000000002i2−2i2−2222−2i2i−2i2i0000000000000000000000
χ494-4-44000400-4000000000000−2i22i222−22−2i2i−2i2i0000000000000000000000
χ504-4-44000400-4000000000000−2i22i2−22222i−2i2i−2i0000000000000000000000
χ518-88-8000000000000000000000002i2−2i2−2i22i20000000000000000000000
χ528-88-800000000000000000000000−2i22i22i2−2i20000000000000000000000
χ538-8-88000-8008000000000000000000000000000000000000000000

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