Finite Group Databasebeta

← Group #279216

Character table — Group #279216

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222222244444888888888888888161616161616161616161616161632323232
order12222244444444488244488888888888244488888888882488
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1111-1-1-1-1111-1-1-1-1
χ311111111111111111111111-1-11-1-1-1-1-1-111111-111111-1-1-1-1-1-1-1
χ411111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-11111
χ511111111111111111-1-1-1-11111111-1-1-1-111-1-1-11-111-1-11-1-111-1-1
χ611111111111111111-1-1-1-11111111-1-1-1-1-1-111-11-1-1-1111-1-1-1-111
χ711111111111111111-1-1-1-111-1-11-1-1111111-1-1-1-1-111-1-1-111-1-111
χ811111111111111111-1-1-1-111-1-11-1-11111-1-111-1-1-1-1-111-11111-1-1
χ9111111111111111-1-11111-1-111-111111111-1-1-1-1-1-1-111-1-1-1-11-11
χ10111111111111111-1-11111-1-111-1111111-1-111-1-1-111-1-1-1-1-11-11-1
χ11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-11-1-1-1111111-11-1
χ12111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-111-1-1111-11-11
χ13111111111111111-1-1-1-1-1-1-1-111-111-1-1-1-111111-11-1-1-1-1-111-111-1
χ14111111111111111-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-11-111111-1111-1-11
χ15111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11-1-11-1-11
χ16111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-111-1
χ17222222-22222-2-2-2-2222-2-22-2-2002000000000020-200000000000
χ18222222-22222-2-2-2-222-222-2-2-20020000000000-20200000000000
χ19222222-22222-2-2-2-2-2-22-2-222200-20000000000-20200000000000
χ20222222-22222-2-2-2-2-2-2-222-22200-2000000000020-200000000000
χ212222-2-222-22-222-2-20022-2-2000000000002-200000002-20000000
χ222222-2-222-22-222-2-20022-2-200000000000-220000000-220000000
χ232222-2-222-22-222-2-200-2-222000000000002-20000000-220000000
χ242222-2-222-22-222-2-200-2-22200000000000-2200000002-20000000
χ252222-2-22-22-222-22-22200002-222-2-2-2000000000-2000002000000
χ262222-2-22-22-222-22-22200002-2-2-2-222000000000200000-2000000
χ272222-2-22-22-222-22-2-2-20000-22222-2-2000000000200000-2000000
χ282222-2-22-22-222-22-2-2-20000-22-2-2222000000000-2000002000000
χ292222-2-2-22-22-2-2-222002-22-200000000000002i−2i0002i−2i000000000
χ302222-2-2-22-22-2-2-222002-22-20000000000000−2i2i000−2i2i000000000
χ312222-2-2-22-22-2-2-22200-22-2200000000000002i−2i000−2i2i000000000
χ322222-2-2-22-22-2-2-22200-22-220000000000000−2i2i0002i−2i000000000
χ332222-2-2-2-22-22-22-22220000-2200-2002i2i−2i−2i0000000000002i−2i0000
χ342222-2-2-2-22-22-22-22220000-2200-200−2i−2i2i2i000000000000−2i2i0000
χ352222-2-2-2-22-22-22-22-2-200002-2002002i2i−2i−2i000000000000−2i2i0000
χ362222-2-2-2-22-22-22-22-2-200002-200200−2i−2i2i2i0000000000002i−2i0000
χ374444444-4-4-4-44-4-4400000000000000000000000000000000000
χ38444444-4-4-4-4-4-444-400000000000000000000000000000000000
χ394-4-444-4044-4-4000000000000000002i2−2i22i2−2i2000000000000000000
χ404-4-444-4044-4-400000000000000000−2i22i2−2i22i2000000000000000000
χ414-4-444-40-4-44400000000000022−22022−220000000000000000000000
χ424-4-444-40-4-444000000000000−22220−22220000000000000000000000
χ434-4-44-4404-4-4400000000000022−220−22220000000000000000000000
χ444-4-44-4404-4-44000000000000−2222022−220000000000000000000000
χ454-4-44-440-444-40000000000000000022−22−2222000000000000000000
χ464-4-44-440-444-400000000000000000−222222−22000000000000000000
χ4788-8-8000000000004i2−4i2000000000000000000000000000000000
χ4888-8-800000000000−4i24i2000000000000000000000000000000000
χ498-88-80080000-800000000000000000000000000000000000000
χ508-88-800-80000800000000000000000000000000000000000000

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