Finite Group Databasebeta

← Group #283776

Character table — Group #283776

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222222244488888888888888161616161616161616161616161616161616163232
order12222244444444424444444888888224444888888888888848
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-11-11-11111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1-1111-111-1-1-1-1-1-1-1-1-1-1-1-111
χ41111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1
χ51111111111111111111-1-1-1-1-1-11111-1111-11-11-1-111111-1-1-1-1-1-1
χ61111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1111111
χ71111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-11111-1-1
χ81111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-11-1-1111-1-1111-1-1-1-111
χ9111111111111111-1-1-1-11111-1-11111-11-1-1-11-1111-1-11-1-1-1-111-11
χ10111111111111111-1-1-1-11111-1-11111-1-111-1-1-1-111-1-1-11111-1-11-1
χ11111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-111-11111-1-1-11
χ12111111111111111-1-1-1-11111-1-1-1-1-1-11-1111-1-11-1-1111-1-1-1-1111-1
χ13111111111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11-1-111-1-11-1
χ14111111111111111-1-1-1-1-1-1-1-11111111-1111-11-1-1-1-1-1-111-1-111-11
χ15111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-11-1-1-111-11111-111-1-1111-1
χ16111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111111-1-111-1-1-11
χ17222222-2222-22-2-2-22-2-2222-2-2220000000000-200000000000000
χ18222222-2222-22-2-2-22-2-22-2-222-2-20000000000200000000000000
χ19222222-2222-22-2-2-2-222-222-2-2-2-20000000000200000000000000
χ20222222-2222-22-2-2-2-222-2-2-222220000000000-200000000000000
χ21222222-2-2-2-2-2-22-2200000000002i2i−2i−2i002-20000000002i−2i000000
χ22222222-2-2-2-2-2-22-2200000000002i2i−2i−2i00-22000000000−2i2i000000
χ23222222-2-2-2-2-2-22-220000000000−2i−2i2i2i002-2000000000−2i2i000000
χ24222222-2-2-2-2-2-22-220000000000−2i−2i2i2i00-220000000002i−2i000000
χ252222-2-222-2-2222-2-200000000002-22-202000-2020000-200000000
χ262222-2-222-2-2222-2-200000000002-22-20-200020-20000200000000
χ272222-2-222-2-2222-2-20000000000-22-2202000-20-20000200000000
χ282222-2-222-2-2222-2-20000000000-22-220-20002020000-200000000
χ292222-2-22-2222-2-2-222-22-200000000002000-20002-200000000000
χ302222-2-22-2222-2-2-222-22-20000000000-20002000-2200000000000
χ312222-2-22-2222-2-2-22-22-2200000000002000-2000-2200000000000
χ322222-2-22-2222-2-2-22-22-220000000000-200020002-200000000000
χ332222-2-2-2-222-2-222-222-2-20000002i−2i−2i2i00000000002i−2i000000000
χ342222-2-2-2-222-2-222-222-2-2000000−2i2i2i−2i0000000000−2i2i000000000
χ352222-2-2-2-222-2-222-2-2-2220000002i−2i−2i2i0000000000−2i2i000000000
χ362222-2-2-2-222-2-222-2-2-222000000−2i2i2i−2i00000000002i−2i000000000
χ374444444-4-4-44-4-44-400000000000000000000000000000000000
χ384444-4-4-44-4-4-44-44400000000000000000000000000000000000
χ394-4-444-4044-40-400000000000000000000000000000000002i2−2i200
χ404-4-444-4044-40-40000000000000000000000000000000000−2i22i200
χ414-4-444-40-4-4404000000000004-40000000000000000000000000
χ424-4-444-40-4-440400000000000-440000000000000000000000000
χ434-4-44-4404-440-400000004i−4i00000000000000000000000000000
χ444-4-44-4404-440-40000000−4i4i00000000000000000000000000000
χ454-4-44-440-44-4040000000000000000000000000000000022−220000
χ464-4-44-440-44-40400000000000000000000000000000000−22220000
χ4788-8-8000000000000000004-4000000000000000000000000000
χ4888-8-800000000000000000-44000000000000000000000000000
χ498-88-8008000-8000000000000000000000000000000000000000
χ508-88-800-80008000000000000000000000000000000000000000

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