Finite Group Databasebeta

← Group #145809

Character table — Group #145809

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111122224444888888881616161616161616161616161616161616161616161616161616
order12222222222222224444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-1111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111
χ7111111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111
χ8111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1
χ92222222222222222-2-22222-2-200000000-2-20000000000000000
χ102222222222222222-2-2-2-2-2-2-2-200000000220000000000000000
χ11222222222222-2-2-2-22-200002-2000000220000-2-2000000000000
χ12222222222222-2-2-2-22-200002-2000000-2-2000022000000000000
χ13222222222222-2-2-2-2-220000-220000220000-2-200000000000000
χ14222222222222-2-2-2-2-220000-220000-2-200002200000000000000
χ15222-2-22-2-222-2-222-2-20022-2-20000000000000000000022−2−222−2−2
χ16222-2-22-2-222-2-222-2-20022-2-200000000000000000000−2−222−2−222
χ17222-2-22-2-222-2-222-2-200-2-2220000000000000000000022−2−2−2−222
χ18222-2-22-2-222-2-222-2-200-2-22200000000000000000000−2−22222−2−2
χ1922-222-2-2-22-22-22-22-22-20000-220000000000000000002-22-20000
χ2022-222-2-2-22-22-22-22-22-20000-22000000000000000000-22-220000
χ2122-222-2-2-22-22-22-22-2-2200002-200000000000000000000002-22-2
χ2222-222-2-2-22-22-22-22-2-2200002-20000000000000000000000-22-22
χ2322-222-2-2-22-22-2-22-22220000-2-20000000000000022-2-200000000
χ2422-222-2-2-22-22-2-22-22220000-2-200000000000000-2-22200000000
χ2522-222-2-2-22-22-2-22-22-2-20000222i−2i2i−2i0000000000000000000000
χ2622-222-2-2-22-22-2-22-22-2-2000022−2i2i−2i2i0000000000000000000000
χ2722-2-2-2-2222-2-222-2-2200000000000000002-2000000002−2−222−2−22
χ2822-2-2-2-2222-2-222-2-2200000000000000002-200000000−222−2−222−2
χ2922-2-2-2-2222-2-222-2-220000000000000000-22000000002−2−22−222−2
χ3022-2-2-2-2222-2-222-2-220000000000000000-2200000000−222−22−2−22
χ3144444444-4-4-4-400000000000022-2-20000000000000000000000
χ3244444444-4-4-4-4000000000000-2-2220000000000000000000000
χ33444-4-44-4-444-4-4-4-4440000000000000000000000000000000000
χ34444-4-44-4-4-4-444000000000000000000000000002i−2i2i−2i00000000
χ35444-4-44-4-4-4-44400000000000000000000000000−2i2i−2i2i00000000
χ3644-444-4-4-4-44-440000000000002i−2i−2i2i0000000000000000000000
χ3744-444-4-4-4-44-44000000000000−2i2i2i−2i0000000000000000000000
χ3844-4-4-4-4444-4-44-444-40000000000000000000000000000000000
χ3944-4-4-4-444-444-4000000000000000000000000002i−2i−2i2i00000000
χ4044-4-4-4-444-444-400000000000000000000000000−2i2i2i−2i00000000
χ414-4-44-444-400000000002-22-2000000002i−2i002i−2i00000000000000
χ424-4-44-444-400000000002-22-200000000−2i2i00−2i2i00000000000000
χ434-4-44-444-40000000000-22-22000000002i−2i00−2i2i00000000000000
χ444-4-44-444-40000000000-22-2200000000−2i2i002i−2i00000000000000
χ454-4-4-444-4400000000002-2-220000002-20000002-2000000000000
χ464-4-4-444-4400000000002-2-22000000-22000000-22000000000000
χ474-4-4-444-440000000000-222-20000002-2000000-22000000000000
χ484-4-4-444-440000000000-222-2000000-220000002-2000000000000
χ498-888-8-8-88000000000000000000000000000000000000000000
χ508-88-88-88-8000000000000000000000000000000000000000000

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