Finite Group Databasebeta

← Group #245486

Character table — Group #245486

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122222222444888888888888888816161616161616161616161616161616161616161616
order12222244444444422444444888888882244444444888888888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-1-1-1111-1111-1-1-1-1-1111-1-1-1-1-1-1-1
χ311111111111111111111111-1-111-1-1-1-11-111-1-1-1111-1-1-1-1-1111-1-1-1-1
χ411111111111111111111111-1-1-1-111111-11-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ51111111111111111-11-111-1-111111111-11-1-11-1-1-1-1-1-1-11-1-111111-1-1
χ61111111111111111-11-111-1-111-1-1-1-1-1-1-11-111-1-1111111-1-1-1-1-1-1-111
χ71111111111111111-11-111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-111-111111-1-111
χ81111111111111111-11-111-1-1-1-1-1-11111-1-1-11-111111-1-1-111-1-1-111-1-1
χ9111111111111111-11-11-1-11111111111-1-1-11-1-1-11-1-1-1-11111-1-1-1-111
χ10111111111111111-11-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-11111-1-1
χ11111111111111111-11-11-1-111-1-111-1-1-1-1-11-111111-1-111-1-1-11-1-111-1-1
χ12111111111111111-11-11-1-111-1-1-1-11111-11-1-1111-111-1-1-1-1-1-111-1-111
χ13111111111111111-1-1-1-1-1-1-1-1111111111-11-1-111-111111-1-11-1-1-1-1-1-1
χ14111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-111-1111-1-1-1-11-1-1-1111111
χ15111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-11-1-1-111-1-1-1111-1-11111
χ16111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11-1-111-111-111-1-1-1-1
χ17222222-222-222-2-2-222-2-22-22-200000000-2020000000000000000000
χ18222222-222-222-2-2-22-2-222-2-220000000020-20000000000000000000
χ19222222-222-222-2-2-2-222-2-222-20000000020-20000000000000000000
χ20222222-222-222-2-2-2-2-222-22-2200000000-2020000000000000000000
χ212222-2-222-222-2-22-2020200-2-200220000000-200020000000-2000000
χ222222-2-222-222-2-22-2020200-2-200-2-200000002000-200000002000000
χ232222-2-222-222-2-22-20-20-20022002200000002000-20000000-2000000
χ242222-2-222-222-2-22-20-20-2002200-2-20000000-2000200000002000000
χ252222-2-22-222-22-2-222020-2-200220000000-20020000000-2000000000
χ262222-2-22-222-22-2-222020-2-200-2-20000000200-200000002000000000
χ272222-2-22-222-22-2-22-20-202200220000000200-20000000-2000000000
χ282222-2-22-222-22-2-22-20-202200-2-20000000-200200000002000000000
χ292222-2-2-22-2-22-22-22020-200-2200000000000000002-20000002-20000
χ302222-2-2-22-2-22-22-22020-200-220000000000000000-22000000-220000
χ312222-2-2-22-2-22-22-220-202002-200000000000000002-2000000-220000
χ322222-2-2-22-2-22-22-220-202002-20000000000000000-220000002-20000
χ332222-2-2-2-22-2-2222-220-20-220000000000000002-20000002-20000000
χ342222-2-2-2-22-2-2222-220-20-22000000000000000-22000000-220000000
χ352222-2-2-2-22-2-2222-2-20202-20000000000000002-2000000-220000000
χ362222-2-2-2-22-2-2222-2-20202-2000000000000000-220000002-20000000
χ374444444-4-44-4-44-4-400000000000000000000000000000000000000
χ38444444-4-4-4-4-4-4-44400000000000000000000000000000000000000
χ3944-4-400-400400000000000002i2−2i22i2−2i222-2-20000000000000000000000
χ4044-4-400-400400000000000002i2−2i2−2i22i2-2-2220000000000000000000000
χ4144-4-400-40040000000000000−2i22i22i2−2i2-2-2220000000000000000000000
χ4244-4-400-40040000000000000−2i22i2−2i22i222-2-20000000000000000000000
χ434-44-44-40440-4-400000000000000000000000000000000000000022−22
χ444-44-44-40440-4-4000000000000000000000000000000000000000−2222
χ454-44-44-40-4-4044000000000000000000000000000000000000022−2200
χ464-44-44-40-4-40440000000000000000000000000000000000000−222200
χ474-44-4-4404-40-440000000000000002i2−2i22i2−2i20000000000000000000000
χ484-44-4-4404-40-44000000000000000−2i22i2−2i22i20000000000000000000000
χ494-44-4-440-4404-4000000000000000000000000000002i2−2i20000000000
χ504-44-4-440-4404-400000000000000000000000000000−2i22i20000000000
χ5188-8-800800-80000000000000000000000000000000000000000000
χ528-8-88000000000000000000000002i2−2i2−2i22i20000000000000000000000
χ538-8-8800000000000000000000000−2i22i22i2−2i20000000000000000000000

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