Finite Group Databasebeta

← Group #297450

Character table — Group #297450

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222244444422444444444224444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-111-1-11-1-11-1-1111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-11-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ6111111111111111111-1-11-1-1111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ7111111111111111111-1-11-1-111-1-1-1-111-1-1-111-11111-1-1-1-11111-1-1-1-1
χ8111111111111111111-1-11-1-111-1-1-1-1-1-1-1-1-111-111-1-11111-1-1-1-11111
χ9111111111111-1-1111111-1-1-1-1-1111111-1-1-11-111-1-1-111-1-111-1-111-1-1
χ10111111111111-1-1111111-1-1-1-1-11111-1-1-1-1-11-111-111-1-111-1-111-1-111
χ11111111111111-1-1111111-1-1-1-1-1-1-1-1-11111-1-111-11-1-111-1-1-1-111-1-111
χ12111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-111-1111-1-11111-1-111-1-1
χ13111111111111-1-11111-1-1-111-1-1111111-1-11-11-1-11-1-1-1-111-1-11111-1-1
χ14111111111111-1-11111-1-1-111-1-11111-1-1-1-11-11-1-111111-1-111-1-1-1-111
χ15111111111111-1-11111-1-1-111-1-1-1-1-1-1111111-1-11-1-1-1-1-11111-1-1-1-111
χ16111111111111-1-11111-1-1-111-1-1-1-1-1-1-1-11111-1-11-11111-1-1-1-11111-1-1
χ1722222222222222-2-2-2-222222-2-200000000-200-20000000000000000
χ1822222222222222-2-2-2-2-2-22-2-2-2-20000000020020000000000000000
χ19222222222222-2-2-2-2-2-222-2-2-22200000000200-20000000000000000
χ20222222222222-2-2-2-2-2-2-2-2-2222200000000-20020000000000000000
χ2122222222-2-2-2-2222-2-2200-2002-222-2-200-2200000000000000000000
χ2222222222-2-2-2-2222-2-2200-2002-2-2-222002-200000000000000000000
χ2322222222-2-2-2-222-222-200-200-220000000002-20-2200000000000000
χ2422222222-2-2-2-222-222-200-200-22000000000-2202-200000000000000
χ2522222222-2-2-2-2-2-22-2-2200200-2222-2-2002-200000000000000000000
χ2622222222-2-2-2-2-2-22-2-2200200-22-2-22200-2200000000000000000000
χ2722222222-2-2-2-2-2-2-222-2002002-2000000000220-2-200000000000000
χ2822222222-2-2-2-2-2-2-222-2002002-2000000000-2-202200000000000000
χ292-22-2-2-2222-22-200-22-2200000002-22-2000000000000002-2002-20000
χ302-22-2-2-2222-22-200-22-2200000002-22-200000000000000-2200-220000
χ312-22-2-2-2222-22-200-22-220000000-22-22000000000000002-200-220000
χ322-22-2-2-2222-22-200-22-220000000-22-2200000000000000-22002-20000
χ332-22-2-2-222-22-2200-2-22200000002-2-220000000000002-2002-2000000
χ342-22-2-2-222-22-2200-2-22200000002-2-22000000000000-2200-22000000
χ352-22-2-2-222-22-2200-2-2220000000-222-20000000000002-200-22000000
χ362-22-2-2-222-22-2200-2-2220000000-222-2000000000000-22002-2000000
χ374444-4-4-4-44-4-440000004-4000000000000000000000000000000000
χ384444-4-4-4-44-4-44000000-44000000000000000000000000000000000
χ394444-4-4-4-4-444-40000000004-4000000000000000000000000000000
χ404444-4-4-4-4-444-4000000000-44000000000000000000000000000000
χ4144-4-44-44-400004i−4i0000000000000002-2000000002i−2i000000000000
χ4244-4-44-44-400004i−4i000000000000000-2200000000−2i2i000000000000
χ4344-4-44-44-40000−4i4i0000000000000002-200000000−2i2i000000000000
χ4444-4-44-44-40000−4i4i000000000000000-22000000002i−2i000000000000
χ454-44-444-4-444-4-400000000000000000000000000000000000000022−22
χ464-44-444-4-444-4-4000000000000000000000000000000000000000−2222
χ474-44-444-4-4-4-44400000000000000000000000000000000000002i2−2i200
χ484-44-444-4-4-4-4440000000000000000000000000000000000000−2i22i200
χ494-44-4-4-4444-44-4004-44-400000000000000000000000000000000000
χ504-44-4-4-444-44-440044-4-400000000000000000000000000000000000
χ5188-8-8-88-88000000000000000000000000000000000000000000000
χ528-8-888-8-88000000000000000000000000000000000000000000000
χ538-8-88-888-8000000000000000000000000000000000000000000000

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