Finite Group Databasebeta

← Group #246306

Character table — Group #246306

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222244444444444444444222244444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-11-111-11-1-1-1-1111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-1111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ6111111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1
χ7111111111111111111-1-1111-1-1-1-1-1-1-11111-111-1-111-1-1-1-11111-1-1-1-1
χ8111111111111111111-1-1111-1-1-1-1-1-1-11-1-11-111-1-1-1-11111-1-1-1-11111
χ9111111111111-1-1111111-1-1-1-1-11111-1-111111-1-1-1-1-111-1-111-1-111-1-1
χ10111111111111-1-1111111-1-1-1-1-11111-1-1-1-1111-1-1-111-1-111-1-111-1-111
χ11111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1111-11-1111-1-111-1-1-1-111-1-111
χ12111111111111-1-1111111-1-1-1-1-1-1-1-1-1-11-1-1-11-111111-1-11111-1-111-1-1
χ13111111111111-1-11111-1-1-1-1-11111111111-1-1-11-1-1-1-1-1-111-1-11111-1-1
χ14111111111111-1-11111-1-1-1-1-111111111-1-1-1-1-11-1-11111-1-111-1-1-1-111
χ15111111111111-1-11111-1-1-1-1-111-1-1-1-11-1111-11-111-1-1-1-11111-1-1-1-111
χ16111111111111-1-11111-1-1-1-1-111-1-1-1-11-1-1-11-11-1111111-1-1-1-11111-1-1
χ1722222222222222-2-2-2-2222-2-2220000-20000-2000000000000000000
χ1822222222222222-2-2-2-2-2-22-2-2-2-20000200002000000000000000000
χ19222222222222-2-2-2-2-2-222-222-2-2000020000-2000000000000000000
χ20222222222222-2-2-2-2-2-2-2-2-222220000-200002000000000000000000
χ2122222222-2-2-2-2222-2-2200-22-20022-2-200000000-2200000000000000
χ2222222222-2-2-2-2222-2-2200-22-200-2-222000000002-200000000000000
χ2322222222-2-2-2-222-222-200-2-220000000200-202-20000000000000000
χ2422222222-2-2-2-222-222-200-2-220000000-20020-220000000000000000
χ2522222222-2-2-2-2-2-22-2-22002-220022-2-2000000002-200000000000000
χ2622222222-2-2-2-2-2-22-2-22002-2200-2-22200000000-2200000000000000
χ2722222222-2-2-2-2-2-2-222-20022-2000000020020-2-20000000000000000
χ2822222222-2-2-2-2-2-2-222-20022-20000000-200-20220000000000000000
χ292-2-2-22-2222-22-200-22-2200000002-22-200000000002-200000000002-2
χ302-2-2-22-2222-22-200-22-2200000002-22-20000000000-220000000000-22
χ312-2-2-22-2222-22-200-22-220000000-22-2200000000002-20000000000-22
χ322-2-2-22-2222-22-200-22-220000000-22-220000000000-2200000000002-2
χ332-2-2-22-222-22-2200-2-22200000002-2-22002-200000000000000002-200
χ342-2-2-22-222-22-2200-2-22200000002-2-2200-220000000000000000-2200
χ352-2-2-22-222-22-2200-2-2220000000-222-2002-20000000000000000-2200
χ362-2-2-22-222-22-2200-2-2220000000-222-200-2200000000000000002-200
χ37444-44-4-4-444-4-40000000000000000000000000000000000022−220000
χ38444-44-4-4-444-4-400000000000000000000000000000000000−22220000
χ39444-44-4-4-4-4-4440000000000000000000000000000000002i2−2i2000000
χ40444-44-4-4-4-4-444000000000000000000000000000000000−2i22i2000000
χ4144-44-4-44-400004i−4i0000000000000000000000000002i−2i2-200000000
χ4244-44-4-44-400004i−4i000000000000000000000000000−2i2i-2200000000
χ4344-44-4-44-40000−4i4i0000000000000000000000000002i−2i-2200000000
χ4444-44-4-44-40000−4i4i000000000000000000000000000−2i2i2-200000000
χ454-4-4444-4-44-4-440000004i−4i000000000000000000000000000000000
χ464-4-4444-4-44-4-44000000−4i4i000000000000000000000000000000000
χ474-4-4444-4-4-444-4000000000004i−4i0000000000000000000000000000
χ484-4-4444-4-4-444-400000000000−4i4i0000000000000000000000000000
χ494-4-4-44-4444-44-4004-44-400000000000000000000000000000000000
χ504-4-4-44-444-44-440044-4-400000000000000000000000000000000000
χ5188-8-8-88-88000000000000000000000000000000000000000000000
χ528-888-8-8-88000000000000000000000000000000000000000000000
χ538-88-8-888-8000000000000000000000000000000000000000000000

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