Finite Group Databasebeta

← Group #101263

Character table — Group #101263

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111112222444444448888888888888816161616161616161616161616161616161616161616
order12222222444422444444224444888888884444448888888888888888
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111
χ711111111111111111111-1-111-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ911111111-1-1-1-1-1-1-1-11-1-111111-1-1ii−i−iii−i−i1-111-1-1i−ii−i11-1-1ii−i−iii−i−i
χ1011111111-1-1-1-1-1-1-1-11-1-111111-1-1ii−i−iii−i−i1-1-1-111i−ii−i-1-111−i−iii−i−iii
χ1111111111-1-1-1-1-1-1-1-11-1-111111-1-1−i−iii−i−iii1-111-1-1−ii−ii11-1-1−i−iii−i−iii
χ1211111111-1-1-1-1-1-1-1-11-1-111111-1-1−i−iii−i−iii1-1-1-111−ii−ii-1-111ii−i−iii−i−i
χ1311111111-1-1-1-1-1-1-1-11-1-11-1-11111ii−i−i−i−iii-1111-1-1i−i−ii-1-111ii−i−i−i−iii
χ1411111111-1-1-1-1-1-1-1-11-1-11-1-11111ii−i−i−i−iii-11-1-111i−i−ii11-1-1−i−iiiii−i−i
χ1511111111-1-1-1-1-1-1-1-11-1-11-1-11111−i−iiiii−i−i-1111-1-1−iii−i-1-111−i−iiiii−i−i
χ1611111111-1-1-1-1-1-1-1-11-1-11-1-11111−i−iiiii−i−i-11-1-111−iii−i11-1-1ii−i−i−i−iii
χ1722222222222222-2-22-2-2222-2-22200000000-2-200000000000000000000
χ1822222222222222-2-22-2-22-2-2-2-2-2-2000000002200000000000000000000
χ19222222222222-2-22-2-22-2-2002-2000000222200000000-2-2000000000000
χ20222222222222-2-22-2-22-2-2002-2000000-2-2-2-20000000022000000000000
χ21222222222222-2-2-22-2-22-200-220022220000000000-2-200000000000000
χ22222222222222-2-2-22-2-22-200-2200-2-2-2-200000000002200000000000000
χ2322222222-2-2-2-2222-2-22-2-200-22002i2i−2i−2i0000000000−2i2i00000000000000
χ2422222222-2-2-2-2222-2-22-2-200-2200−2i−2i2i2i00000000002i−2i00000000000000
χ2522222222-2-2-2-222-22-2-22-2002-20000002i2i−2i−2i00000000−2i2i000000000000
χ2622222222-2-2-2-222-22-2-22-2002-2000000−2i−2i2i2i000000002i−2i000000000000
χ2722222222-2-2-2-2-2-222222222-2-2-2-200000000-2200000000000000000000
χ2822222222-2-2-2-2-2-2222222-2-2-2-222000000002-200000000000000000000
χ29222-2-2-2-2222-2-22-200-20022-2002-20000000000000000000000i2−i2i2−i2i2−i2i2−i2
χ30222-2-2-2-2222-2-22-200-20022-2002-20000000000000000000000−i2i2−i2i2−i2i2−i2i2
χ31222-2-2-2-2222-2-22-200-2002-2200-220000000000000000000000i2−i2i2−i2−i2i2−i2i2
χ32222-2-2-2-2222-2-22-200-2002-2200-220000000000000000000000−i2i2−i2i2i2−i2i2−i2
χ33222-2-2-2-22-2-222-2200-20022-200-2200000000000000000000002−2−222−2−22
χ34222-2-2-2-22-2-222-2200-20022-200-220000000000000000000000−222−2−222−2
χ35222-2-2-2-22-2-222-2200-2002-22002-200000000000000000000002−2−22−222−2
χ36222-2-2-2-22-2-222-2200-2002-22002-20000000000000000000000−222−22−2−22
χ37444-4-4-4-4444-4-4-4400400-4000000000000000000000000000000000000
χ38444-4-4-4-44-4-4444-400400-4000000000000000000000000000000000000
χ3944-444-4-4-40000000400-4000000022−2222−2200000000000000000000000000
χ4044-444-4-4-40000000400-40000000−2222−222200000000000000000000000000
χ4144-444-4-4-40000000-400400000002i2−2i2−2i22i200000000000000000000000000
χ4244-444-4-4-40000000-40040000000−2i22i22i2−2i200000000000000000000000000
χ434-444-44-4-4000000400-400000000000022−2222−220000000000000000000000
χ444-444-44-4-4000000400-4000000000000−2222−22220000000000000000000000
χ454-444-44-4-4000000-40040000000000002i2−2i2−2i22i20000000000000000000000
χ464-444-44-4-4000000-4004000000000000−2i22i22i2−2i20000000000000000000000
χ474-4-44-4-4444-44-4000000000000000000000000000000002-22-200000000
χ484-4-44-4-4444-44-400000000000000000000000000000000-22-2200000000
χ494-4-44-4-444-44-44000000000000000000000000000000002-2-2200000000
χ504-4-44-4-444-44-4400000000000000000000000000000000-222-200000000
χ514-4-4-444-444-4-440000000000000000000000002-22-20000000000000000
χ524-4-4-444-444-4-44000000000000000000000000-22-220000000000000000
χ534-4-4-444-44-444-40000000000000000000000002-2-220000000000000000
χ544-4-4-444-44-444-4000000000000000000000000-222-20000000000000000
χ5588-8-8-888-8000000000000000000000000000000000000000000000000
χ568-88-88-88-8000000000000000000000000000000000000000000000000

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