Finite Group Databasebeta

← Group #500072

Character table — Group #500072

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222244444444488888888888888881616161616161616161616161632323232
order12222244222244444222224444444444424444444444444488
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-11-1-11111-1-1-1-1
χ31111111111111111111111-1-1-1-111111-1-111-1-11-1-11-1-1-1-1-1-1-111
χ41111111111111111111111-1-1-1-111111-1-1-1-111-11-1-11-1-1-1-111-1-1
χ5111111111111111111-1-1-1-111111-1-1-1-111111111111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-11-1-1-1-1-1-11111
χ7111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-11-1-11-1111111-1-1
χ8111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111-11-1-111111-1-111
χ9111111-1-11111-1-1-111-111-1-111-1-1-111-1-1111-11-11-1-1-1111-1-11-11-1
χ10111111-1-11111-1-1-111-111-1-111-1-1-111-1-111-11-11-11-11-111-1-1-11-11
χ11111111-1-11111-1-1-111-111-1-1-1-111-111-1-1-1-11-1-11111-1-1-1-111-111-1
χ12111111-1-11111-1-1-111-111-1-1-1-111-111-1-1-1-1-111-1-1-1111-1-1111-1-11
χ13111111-1-11111-1-1-111-1-1-11111-1-1-1-1-111111-11-11-1-1-11-1-111-11-11
χ14111111-1-11111-1-1-111-1-1-11111-1-1-1-1-11111-11-11-11-11-1-1-1111-11-1
χ15111111-1-11111-1-1-111-1-1-111-1-111-1-1-111-1-11-1-11111-1-111-1-11-1-11
χ16111111-1-11111-1-1-111-1-1-111-1-111-1-1-111-1-1-111-1-1-111111-1-1-111-1
χ17222222222-2-22222-2-2-200002222-20000-2-2000000-20000000000
χ18222222222-2-22222-2-2-20000-2-2-2-2-200002200000020000000000
χ1922222222-222-22-2-2-2-2-200000000200000000220-200-200000000
χ2022222222-222-22-2-2-2-2-200000000200000000-2-20200200000000
χ2122222222-2-2-2-22-2-222200000000-20000002200-200-2000000000
χ2222222222-2-2-2-22-2-222200000000-2000000-2-2002002000000000
χ23222222-2-22-2-22-2-2-2-2-22000022-2-220000-2-200000020000000000
χ24222222-2-22-2-22-2-2-2-2-220000-2-2222000022000000-20000000000
χ25222222-2-2-222-2-222-2-2200000000-2000000002-20200-200000000
χ26222222-2-2-222-2-222-2-2200000000-200000000-220-200200000000
χ27222222-2-2-2-2-2-2-22222-20000000020000002-200-2002000000000
χ28222222-2-2-2-2-2-2-22222-2000000002000000-2200200-2000000000
χ292-2-222-20022-2-20002-20002-22i−2i000002-22i−2i000000000002i−2i0000
χ302-2-222-20022-2-20002-20002-2−2i2i000002-2−2i2i00000000000−2i2i0000
χ312-2-222-20022-2-20002-2000-222i−2i00000-222i−2i00000000000−2i2i0000
χ322-2-222-20022-2-20002-2000-22−2i2i00000-22−2i2i000000000002i−2i0000
χ332-2-222-2002-22-2000-2202-2002i−2i0002-200−2i2i0000000002i−2i000000
χ342-2-222-2002-22-2000-2202-200−2i2i0002-2002i−2i000000000−2i2i000000
χ352-2-222-2002-22-2000-220-22002i−2i000-2200−2i2i000000000−2i2i000000
χ362-2-222-2002-22-2000-220-2200−2i2i000-22002i−2i0000000002i−2i000000
χ374444-4-4440000-40000022-2-200000-2-2220000000000000000000
χ384444-4-4440000-400000-2-2220000022-2-20000000000000000000
χ394444-4-4-4-40000400000222200000-2-2-2-20000000000000000000
χ404444-4-4-4-40000400000-2-2-2-20000022220000000000000000000
χ414-4-444-400-44-44000-44000000000000000000000000000000000
χ424-4-444-400-4-4440004-4000000000000000000000000000000000
χ434-4-44-4400000004-40002-22-200000-22-220000000000000000000
χ444-4-44-4400000004-4000-22-22000002-22-20000000000000000000
χ454-4-44-440000000-440002-2-2200000-222-20000000000000000000
χ464-4-44-440000000-44000-222-2000002-2-220000000000000000000
χ4788-8-8000000000000000000004i−4i000000000000000000000000
χ4888-8-800000000000000000000−4i4i000000000000000000000000
χ498-88-8008i−8i000000000000000000000000000000000000000000
χ508-88-800−8i8i000000000000000000000000000000000000000000

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