Finite Group Databasebeta

← Group #273859

Character table — Group #273859

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111222222224444444888888888888888888888888881616161616161616161616163232
order12222244444444444442224444488888888888888888844444888888848
χ111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-11-1-1-1-1
χ31111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111
χ511111111111111111111-1-11-1-11111-1-111111111-1-11111-11-1-1-11-1-1-1-111-1-1
χ611111111111111111111-1-11-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-11-1-1-11111-1-1-111
χ711111111111111111111-1-11-1-1-1-111-1-1111111-1-111-1-1-1-11-1-1-11-1-1-1-11-1-111
χ811111111111111111111-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-11-1111111-1-1
χ9111111111111-1-11-1-111-111-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11-1-1-1111-1
χ10111111111111-1-11-1-111-111-11111-1-1-1-1-1-11111-1-1-1-1111111-1-11-1-111-1-1-1-11
χ11111111111111-1-11-1-111-111-111-1-1111111-1-1-1-111111111-1-1-1-1-111-1-11-1-1-11
χ12111111111111-1-11-1-111-111-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1111111-1
χ13111111111111-1-11-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-1-1111-1-1-111111-11
χ14111111111111-1-11-1-111-1-1-1-1-1-111-1-111-1-11111-1-1111111-1111-1-11-1-11-1-11-1
χ15111111111111-1-11-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111111-11111-111-1-1-11-1
χ16111111111111-1-11-1-111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11-111111-1-1-111-11
χ17222222-2222-2222-222-2-2-200-200220000000000220000000-2000-200000000
χ18222222-2222-2222-222-2-2-200-200-2-20000000000-2-200000002000200000000
χ19222222-2222-22-2-2-2-2-2-2-2200200220000000000-2-20000000-2000200000000
χ20222222-2222-22-2-2-2-2-2-2-2200200-2-200000000002200000002000-200000000
χ21222222-2-2-2-2-2-200200-2202-202-2000000002i2i−2i−2i0000000000000002i−2i00000
χ22222222-2-2-2-2-2-200200-2202-202-200000000−2i−2i2i2i000000000000000−2i2i00000
χ23222222-2-2-2-2-2-200200-220-220-22000000002i2i−2i−2i000000000000000−2i2i00000
χ24222222-2-2-2-2-2-200200-220-220-2200000000−2i−2i2i2i0000000000000002i−2i00000
χ252222-2-222-2-222222-2-2-2-2200-200000000000000002200002000-20000-20000
χ262222-2-222-2-222222-2-2-2-2200-20000000000000000-2-20000-20002000020000
χ272222-2-222-2-222-2-2222-2-2-20020000000000000000220000-200020000-20000
χ282222-2-222-2-222-2-2222-2-2-20020000000000000000-2-200002000-2000020000
χ292222-2-22-2222-200-200-220220-2-2002222-2-2000000000000000000-20000000
χ302222-2-22-2222-200-200-220220-2-200-2-2-2-22200000000000000000020000000
χ312222-2-22-2222-200-200-220-2-20220022-2-2-2-200000000000000000020000000
χ322222-2-22-2222-200-200-220-2-202200-2-22222000000000000000000-20000000
χ332222-2-2-22-2-2-2222-2-2-222-22-22-2200000000000000000000002-20000000000
χ342222-2-2-22-2-2-2222-2-2-222-2-2222-20000000000000000000000-220000000000
χ352222-2-2-22-2-2-22-2-2-2222222-2-2-220000000000000000000000-220000000000
χ362222-2-2-22-2-2-22-2-2-222222-22-22-200000000000000000000002-20000000000
χ372-22-22-20-22-2022i−2i02i−2i000000002i−2i2−2002−2i2−i2i2−i22-20022−2−20000000000i2−i200
χ382-22-22-20-22-2022i−2i02i−2i000000002i−2i−2200−22−i2i2−i2i22-200−2−2220000000000−i2i200
χ392-22-22-20-22-2022i−2i02i−2i00000000−2i2i2−2002−2i2−i2i2−i2-2200−2−2220000000000−i2i200
χ402-22-22-20-22-2022i−2i02i−2i00000000−2i2i−2200−22−i2i2−i2i2-220022−2−20000000000i2−i200
χ412-22-22-20-22-202−2i2i0−2i2i000000002i−2i2−2002−2−i2i2−i2i2-2200−2−2220000000000i2−i200
χ422-22-22-20-22-202−2i2i0−2i2i000000002i−2i−2200−22i2−i2i2−i2-220022−2−20000000000−i2i200
χ432-22-22-20-22-202−2i2i0−2i2i00000000−2i2i2−2002−2−i2i2−i2i22-20022−2−20000000000−i2i200
χ442-22-22-20-22-202−2i2i0−2i2i00000000−2i2i−2200−22i2−i2i2−i22-200−2−2220000000000i2−i200
χ454444444-4-4-44-400-4004-40000000000000000000000000000000000000000
χ464444-4-4-4-444-4-4004004-40000000000000000000000000000000000000000
χ4744-4-4004000-400000000000000000022−220000000022−222-22-200000000000000
χ4844-4-4004000-400000000000000000022−2200000000−2222-22-2200000000000000
χ4944-4-4004000-4000000000000000000−22220000000022−22-22-2200000000000000
χ5044-4-4004000-4000000000000000000−222200000000−22222-22-200000000000000
χ514-44-44-404-440-400000000000000000000022−22−22220000000000000000000000
χ524-44-44-404-440-4000000000000000000000−222222−220000000000000000000000
χ534-44-4-44044-40-400000000000000022−2200−222200000000000000000000000000
χ544-44-4-44044-40-4000000000000000−22220022−2200000000000000000000000000
χ554-44-4-440-4-44044i−4i0−4i4i000000000000000000000000000000000000000000
χ564-44-4-440-4-4404−4i4i04i−4i000000000000000000000000000000000000000000
χ5788-8-800-80008000000000000000000000000000000000000000000000000
χ588-8-88000000000000000000000000000000000000022−22−222200000000000000
χ598-8-880000000000000000000000000000000000000−222222−2200000000000000

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