Finite Group Databasebeta

← Group #303302

Character table — Group #303302

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222244444422444444444244444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1-11-11-1-11111-1-1-1-1-1-1-1-1-1-11111
χ41111111111111111111111111-1-1-1-1-11-11-1-1-1-1-1-1-1-111111111-1-1-1-1
χ5111111111111111111-1-11-1-11111111-11-1-1-11111-1-11111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-11-1-11111111-11-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111-1-11-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ8111111111111111111-1-11-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111
χ9111111111111-1-1111111-111-1-111-1-11-1-1-11-111-1-11-111-1-111-1-111-1-1
χ10111111111111-1-1111111-111-1-111-1-11-1-1-11-1-1-1111-1-1-111-1-111-1-111
χ11111111111111-1-1111111-111-1-1-1-111-1-11-1-1111-1-1-11-1-111-1-11111-1-1
χ12111111111111-1-1111111-111-1-1-1-111-1-11-1-11-1-111-1111-1-111-1-1-1-111
χ13111111111111-1-11111-1-1-1-1-1-1-111-1-111-11-1111-1-1-1111-1-1-1-111-1-111
χ14111111111111-1-11111-1-1-1-1-1-1-111-1-111-11-11-1-111-11-1-11111-1-111-1-1
χ15111111111111-1-11111-1-1-1-1-1-1-1-1-111-11111-111-1-11-1-1-11111-1-1-1-111
χ16111111111111-1-11111-1-1-1-1-1-1-1-1-111-11111-1-1-1111-111-1-1-1-11111-1-1
χ1722222222222222-2-2-2-200200-2-22222-20-2000000000000000000000
χ1822222222222222-2-2-2-200200-2-2-2-2-2-2202000000000000000000000
χ19222222222222-2-2-2-2-2-200-2002222-2-2-202000000000000000000000
χ20222222222222-2-2-2-2-2-200-20022-2-22220-2000000000000000000000
χ2122222222-2-2-2-2222-2-2222-2-2-22-20000020-200000000000000000000
χ2222222222-2-2-2-2222-2-22-2-2-2222-200000-20200000000000000000000
χ2322222222-2-2-2-222-222-200-200-22000000002-20000-22000000000000
χ2422222222-2-2-2-222-222-200-200-2200000000-2200002-2000000000000
χ2522222222-2-2-2-2-2-22-2-22222-2-2-2200000-20200000000000000000000
χ2622222222-2-2-2-2-2-22-2-22-2-2222-220000020-200000000000000000000
χ2722222222-2-2-2-2-2-2-222-2002002-200000000220000-2-2000000000000
χ2822222222-2-2-2-2-2-2-222-2002002-200000000-2-2000022000000000000
χ292-22-22-2-222-22-20022-2-22-202-2000000000000000000002i−2i002i−2i0000
χ302-22-22-2-222-22-20022-2-22-202-200000000000000000000−2i2i00−2i2i0000
χ312-22-22-2-222-22-20022-2-2-220-22000000000000000000002i−2i00−2i2i0000
χ322-22-22-2-222-22-20022-2-2-220-2200000000000000000000−2i2i002i−2i0000
χ332-22-22-2-22-22-22002-22-22-20-220000000000000000002i−2i002i−2i000000
χ342-22-22-2-22-22-22002-22-22-20-22000000000000000000−2i2i00−2i2i000000
χ352-22-22-2-22-22-22002-22-2-2202-20000000000000000002i−2i00−2i2i000000
χ362-22-22-2-22-22-22002-22-2-2202-2000000000000000000−2i2i002i−2i000000
χ37444-4-44-4-444-4-4000000000000000000000000000000000000022−2200
χ38444-4-44-4-444-4-40000000000000000000000000000000000000−222200
χ39444-4-44-4-4-4-4440000000000000000000000000000000000000002i2−2i2
χ40444-4-44-4-4-4-444000000000000000000000000000000000000000−2i22i2
χ4144-4-4-4-44400004i−4i0000000000000000000002i−2i2-200000000000000
χ4244-4-4-4-44400004i−4i000000000000000000000−2i2i-2200000000000000
χ4344-4-4-4-4440000−4i4i0000000000000000000002i−2i-2200000000000000
χ4444-4-4-4-4440000−4i4i000000000000000000000−2i2i2-200000000000000
χ454-444-4-44-44-4-440000000000000004i−4i000000000000000000000000
χ464-444-4-44-44-4-44000000000000000−4i4i000000000000000000000000
χ474-444-4-44-4-444-400000000000004i−4i00000000000000000000000000
χ484-444-4-44-4-444-40000000000000−4i4i00000000000000000000000000
χ494-44-44-4-444-44-400-4-44400000000000000000000000000000000000
χ504-44-44-4-44-44-4400-44-4400000000000000000000000000000000000
χ5188-888-8-8-8000000000000000000000000000000000000000000000
χ528-8-88-88-88000000000000000000000000000000000000000000000
χ538-8-8-8888-8000000000000000000000000000000000000000000000

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