Finite Group Databasebeta

← Group #336603

Character table — Group #336603

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111111112222222244888888888888888816161616161616161616161616161616323232
order12222222444444444422448888888888884444444488888888244
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-111-1-1-1-1-1-11-1111-11111-1-1-1-1-1-1-11-1
χ31111111111111111111111-1-111-1-111-1-1-1-1111-1-1111-1-1-1-111-1-11-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-111111-11-1-1-111-1-111-1-111-1-11
χ511111111111111111111-1-1111111111111-111-1-11-1-11111-1-1-1-1-1-1-1
χ611111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11-1-1-1-1-111-1-111111-11
χ711111111111111111111-1-1-1-111-1-111-1-1-1-1-111111-1-1-1-1-1-1-1-111-111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1-1-1-11111-1-111-1
χ9111111111111111111-1-1111111111111111-1-111-1-1-1-1-1-1-11111-1-1-1
χ10111111111111111111-1-11111-1-111-1-1-1-1-1-111-1111-1-1-1-111-1-1-1-11-11
χ11111111111111111111-1-111-1-111-1-111-1-1-1-11-1-1-1-1-1-1-1111111-1-1-111
χ12111111111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-11-1-111-1-1-1-11111-1
χ13111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111
χ14111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-11-1-1-1111-1-1111111-11-1
χ15111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-111-1111111-1-1111-1-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11111111-1-111-1-1-1-11
χ172222222222-22-2-2-22-2-22200002200-2-200000-2-20020000000000000
χ182222222222-22-2-2-22-2-2220000-2-20022000002-200-20000000000000
χ192222222222-22-2-2-22-2-2-2-200002200-2-2000002200-20000000000000
χ202222222222-22-2-2-22-2-2-2-20000-2-2002200000-220020000000000000
χ2122222222-2-22-2222-2-2-200222200-2-2000000-2002-200000000000000
χ2222222222-2-22-2222-2-2-20022-2-20022000000-200-2200000000000000
χ2322222222-2-22-2222-2-2-200-2-22200-2-2000000200-2200000000000000
χ2422222222-2-22-2222-2-2-200-2-2-2-200220000002002-200000000000000
χ252-2-22-222-222-2-22-22-2-2200000000000000000000002i−2i002-2002i−2i000
χ262-2-22-222-222-2-22-22-2-2200000000000000000000002i−2i00-2200−2i2i000
χ272-2-22-222-222-2-22-22-2-220000000000000000000000−2i2i002-200−2i2i000
χ282-2-22-222-222-2-22-22-2-220000000000000000000000−2i2i00-22002i−2i000
χ2944444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000
χ30444-4-44-4-400404-4-4000000000000000000000000000000022−2200000
χ31444-4-44-4-400404-4-40000000000000000000000000000000−222200000
χ32444-4-44-4-400-40-444000004i−4i0000000000000000000000000000000
χ33444-4-44-4-400-40-44400000−4i4i0000000000000000000000000000000
χ3444-444-4-4-44-404000-4000000000000002222−22−220000000000000000000
χ3544-444-4-4-44-404000-400000000000000−22−2222220000000000000000000
χ3644-444-4-4-4-440-40004000000004i−4i000000000000000000000000000
χ3744-444-4-4-4-440-4000400000000−4i4i000000000000000000000000000
χ384-444-4-4-444-40-40004004-4000000000000000000000000000000000
χ394-444-4-4-444-40-4000400-44000000000000000000000000000000000
χ404-444-4-4-44-4404000-4000000000000000000000000002i2−2i2000000000
χ414-444-4-4-44-4404000-400000000000000000000000000−2i22i2000000000
χ424-44-44-44-40000000000000000002i2−2i22i2−2i22-22-20000000000000000000
χ434-44-44-44-40000000000000000002i2−2i2−2i22i2-22-220000000000000000000
χ444-44-44-44-4000000000000000000−2i22i22i2−2i2-22-220000000000000000000
χ454-44-44-44-4000000000000000000−2i22i2−2i22i22-22-20000000000000000000
χ464-4-44-444-4444-4-44-4-44-400000000000000000000000000000000000
χ474-4-44-444-4-4-444-44-44-4400000000000000000000000000000000000
χ484-4-44-444-4-4-4-444-4444-400000000000000000000000000000000000
χ494-4-4-444-440040-4-4400000000000000022−22−22220000000000000000000
χ504-4-4-444-440040-4-44000000000000000−222222−220000000000000000000
χ514-4-4-444-4400-4044-400000004-400000000000000000000000000000
χ524-4-4-444-4400-4044-40000000-4400000000000000000000000000000
χ5388-8-8-8-888000000000000000000000000000000000000000000000

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