Finite Group Databasebeta

← Group #173802

Character table — Group #173802

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size1111111144444444444488888888888881616161616161616161616161616161616163232
order12222222444444444444244444444444444444488888888888844
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-111-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1
χ411111111111111111111111-1-111-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1111111
χ5111111111111111111111-1-111-1-1-1-1-1-111-1-11-11-11111-1-1-1-1-1-1-1-111
χ6111111111111111111111-1-111-1-1-1-1-1-111-1-11-11-1-1-1-1-111111111-1-1
χ7111111111111111111111-1-1-1-1-1-11111-1-1-11-11-1-11111-1-1-1-11111-1-1
χ8111111111111111111111-1-1-1-1-1-11111-1-1-11-11-1-1-1-1-1-11111-1-1-1-111
χ9111111111-1-1-1-11-1-11111-11111-1-111-1-1-1-1-111-1-1111-1-111-1-111-1-11-1
χ10111111111-1-1-1-11-1-11111-11111-1-111-1-1-1-1-111-1-11-1-111-1-111-1-111-11
χ11111111111-1-1-1-11-1-11111-111-1-1-1-1-1-11111-1-1-111111-1-111-1-1-1-111-11
χ12111111111-1-1-1-11-1-11111-111-1-1-1-1-1-11111-1-1-1111-1-111-1-11111-1-11-1
χ13111111111-1-1-1-11-1-11111-1-1-11111-1-111-1-11-111-1-111-1-1-1-111-1-1111-1
χ14111111111-1-1-1-11-1-11111-1-1-11111-1-111-1-11-111-1-1-1-11111-1-111-1-1-11
χ15111111111-1-1-1-11-1-11111-1-1-1-1-11111-1-11111-1-11-111-1-1-1-11111-1-1-11
χ16111111111-1-1-1-11-1-11111-1-1-1-1-11111-1-11111-1-11-1-1-11111-1-1-1-1111-1
χ1722222222222-2-2-222-2-22-2-2220022000000-20000-200000000000000
χ1822222222222-2-2-222-2-22-2-2-2-200-2-200000020000200000000000000
χ19222222222-2-222-2-2-2-2-22-222200-2-200000020000-200000000000000
χ20222222222-2-222-2-2-2-2-22-22-2-20022000000-20000200000000000000
χ2122222222-222222-2-2-2-2-22-20000002222000-20-20000000000000000
χ2222222222-222222-2-2-2-2-22-2000000-2-2-2-20002020000000000000000
χ2322222222-222-2-2-2-2-222-2-220022000000-2-200-202000000000000000
χ2422222222-222-2-2-2-2-222-2-2200-2-2000000220020-2000000000000000
χ2522222222-2-2-222-22222-2-2-200220000002200-20-2000000000000000
χ2622222222-2-2-222-22222-2-2-200-2-2000000-2-200202000000000000000
χ2722222222-2-2-2-2-2222-2-2-22200000022-2-2000-2020000000000000000
χ2822222222-2-2-2-2-2222-2-2-222000000-2-22200020-20000000000000000
χ292-22-22-22-20002i−2i02i−2i2-2000002-20000002i−2i0000000000i2−i22−2i2−i22−200
χ302-22-22-22-20002i−2i02i−2i2-2000002-20000002i−2i0000000000−i2i2−22−i2i2−2200
χ312-22-22-22-20002i−2i02i−2i2-200000-22000000−2i2i0000000000i2−i22−2−i2i2−2200
χ322-22-22-22-20002i−2i02i−2i2-200000-22000000−2i2i0000000000−i2i2−22i2−i22−200
χ332-22-22-22-2000−2i2i0−2i2i2-2000002-2000000−2i2i0000000000i2−i2−22i2−i2−2200
χ342-22-22-22-2000−2i2i0−2i2i2-2000002-2000000−2i2i0000000000−i2i22−2−i2i22−200
χ352-22-22-22-2000−2i2i0−2i2i2-200000-220000002i−2i0000000000i2−i2−22−i2i22−200
χ362-22-22-22-2000−2i2i0−2i2i2-200000-220000002i−2i0000000000−i2i22−2i2−i2−2200
χ3744-444-4-4-404-400000000000000000000000000002-22-20000000000
χ3844-444-4-4-404-40000000000000000000000000000-22-220000000000
χ3944-444-4-4-40-4400000000000000000000000000002-2-220000000000
χ4044-444-4-4-40-440000000000000000000000000000-222-20000000000
χ414-444-44-4-44000000000-4004-4000000000000000000000000000000
χ424-444-44-4-44000000000-400-44000000000000000000000000000000
χ434-444-44-4-4-400000000040000004i−4i00000000000000000000000000
χ444-444-44-4-4-40000000004000000−4i4i00000000000000000000000000
χ454-44-44-44-40004i−4i0−4i4i-4400000000000000000000000000000000000
χ464-44-44-44-4000−4i4i04i−4i-4400000000000000000000000000000000000
χ474-4-44-4-44400000400000-400000004i−4i000000000000000000000000
χ484-4-44-4-44400000400000-40000000−4i4i000000000000000000000000
χ494-4-44-4-44400000-40000040000000004-40000000000000000000000
χ504-4-44-4-44400000-4000004000000000-440000000000000000000000
χ51888-8-8-8-88000000000000000000000000000000000000000000000
χ5288-8-8-888-8000000000000000000000000000000000000000000000
χ538-8-8-888-88000000000000000000000000000000000000000000000

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