Finite Group Databasebeta

← Group #252467

Character table — Group #252467

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222244444444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1111-1-1-11-1-1-11111-1-1-1-1-1-1-1-11111
χ411111111111111111111111-1-1-1-1111-1-1-11-1-1-1-1-1-1-111111111-1-1-1-1
χ5111111111111111111-1-11-1-1111111-11-1-1-1-1-1111111111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-11-1-1111111-11-1-1-1-1-11-1-1-1-1-1-1-1-111111111
χ7111111111111111111-1-11-1-1-1-1-1-111-1-111-111-11111-1-1-1-11111-1-1-1-1
χ8111111111111111111-1-11-1-1-1-1-1-111-1-111-111-1-1-1-1-11111-1-1-1-11111
χ9111111111111-1-1111111-11111-1-1-1-1-111-1-11-1-111-1-111-1-111-1-111-1-1
χ10111111111111-1-1111111-11111-1-1-1-1-111-1-11-1-1-1-111-1-111-1-111-1-111
χ11111111111111-1-1111111-111-1-111-1-1-1-1-11-1-11111-1-1-1-111-1-11111-1-1
χ12111111111111-1-1111111-111-1-111-1-1-1-1-11-1-111-1-11111-1-111-1-1-1-111
χ13111111111111-1-11111-1-1-1-1-111-1-1-1-111-111-11-111-1-111-1-1-1-111-1-111
χ14111111111111-1-11111-1-1-1-1-111-1-1-1-111-111-11-1-1-111-1-11111-1-111-1-1
χ15111111111111-1-11111-1-1-1-1-1-1-111-1-11-11-111-1111-1-1-1-11111-1-1-1-111
χ16111111111111-1-11111-1-1-1-1-1-1-111-1-11-11-111-11-1-11111-1-1-1-11111-1-1
χ1722222222222222-2-2-2-2002002222-2-20-200000-20000000000000000
χ1822222222222222-2-2-2-200200-2-2-2-2-2-2020000020000000000000000
χ19222222222222-2-2-2-2-2-200-20022-2-2220-20000020000000000000000
χ20222222222222-2-2-2-2-2-200-200-2-222220200000-20000000000000000
χ2122222222-2-2-2-2222-2-2222-2-2-200002-22000-20000000000000000000
χ2222222222-2-2-2-2222-2-22-2-2-22200002-2-200020000000000000000000
χ2322222222-2-2-2-222-222-200-2000000-2200220-2-200000000000000000
χ2422222222-2-2-2-222-222-200-2000000-2200-2-202200000000000000000
χ2522222222-2-2-2-2-2-22-2-22222-2-20000-22-200020000000000000000000
χ2622222222-2-2-2-2-2-22-2-22-2-22220000-222000-20000000000000000000
χ2722222222-2-2-2-2-2-2-222-20020000002-2002-20-2200000000000000000
χ2822222222-2-2-2-2-2-2-222-20020000002-200-2202-200000000000000000
χ292-22-2-22-222-22-20022-2-22i−2i02i−2i00000000000000002-200000000002i−2i
χ302-22-2-22-222-22-20022-2-22i−2i02i−2i0000000000000000-220000000000−2i2i
χ312-22-2-22-222-22-20022-2-2−2i2i0−2i2i00000000000000002-20000000000−2i2i
χ322-22-2-22-222-22-20022-2-2−2i2i0−2i2i0000000000000000-2200000000002i−2i
χ332-22-2-22-22-22-22002-22-22i−2i0−2i2i000000000000002-200000000002i−2i00
χ342-22-2-22-22-22-22002-22-22i−2i0−2i2i00000000000000-220000000000−2i2i00
χ352-22-2-22-22-22-22002-22-2−2i2i02i−2i000000000000002-20000000000−2i2i00
χ362-22-2-22-22-22-22002-22-2−2i2i02i−2i00000000000000-2200000000002i−2i00
χ374444-4-4-4-400004-40000000000000000000000000002-22-200000000
χ384444-4-4-4-400004-4000000000000000000000000000-22-2200000000
χ394444-4-4-4-40000-440000000000000000000000000002-2-2200000000
χ404444-4-4-4-40000-44000000000000000000000000000-222-200000000
χ4144-4-44-4-444-4-440000000000000000000000000000000002i2−2i2000000
χ4244-4-44-4-444-4-44000000000000000000000000000000000−2i22i2000000
χ4344-4-44-4-44-444-4000000000000000000000000000000000002i2−2i20000
χ4444-4-44-4-44-444-400000000000000000000000000000000000−2i22i20000
χ454-44-4-44-444-44-400-4-44400000000000000000000000000000000000
χ464-44-4-44-44-44-4400-44-4400000000000000000000000000000000000
χ474-4-44-4-44444-4-400000000000004i−4i00000000000000000000000000
χ484-4-44-4-44444-4-40000000000000−4i4i00000000000000000000000000
χ494-4-44-4-444-4-444000000000004-40000000000000000000000000000
χ504-4-44-4-444-4-44400000000000-440000000000000000000000000000
χ5188-8-8-888-8000000000000000000000000000000000000000000000
χ528-88-88-88-8000000000000000000000000000000000000000000000
χ538-8-8888-8-8000000000000000000000000000000000000000000000

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