Finite Group Databasebeta

← Group #340390

Character table — Group #340390

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111111112222222244888888888888888816161616161616161616161616161616323232
order12222222444444444444448888888888884444444488888888244
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-111-1-1-1-11111-111-1-1-1-1-111-1-1-1-11
χ31111111111111111111111-1-11111-1-1-1-1-1-11-11-1111111-1-1-1-1-1-11-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-111111-11-1-111-1-1-111-1-111-11-1
χ511111111111111111111-1-11111111111111-1-1-11-1-11-1-1-1-11111-1-1-1
χ611111111111111111111-1-111-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1111111-1-111-1
χ711111111111111111111-1-1-1-11111-1-1-1-1-1-111-111-1-11-1-111-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1111111-11-1-1-1-111-1-1-1-1111-11
χ9111111111111111111-1-111111111111111-1111-1-1-1-11111-1-1-1-1-1-1-1
χ10111111111111111111-1-11111-1-1-1-111-1-1-1-1-11111-1-11-1-1-1-1-1-11111-1
χ11111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-111-1-11111-111
χ12111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-11-11-1-11-1-11111-1-11-11
χ13111111111111111111-1-1-1-1111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1111
χ14111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-11
χ15111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-11-11-111-1-1-11111111-1-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11111111-1-111-1-1-11-1
χ172222222222-2-22-2-22-2-20022220000-2-2000002-2-2000000000000000
χ182222222222-2-22-2-22-2-20022-2-200002200000-2-22000000000000000
χ192222222222-2-22-2-22-2-200-2-2220000-2-200000-222000000000000000
χ202222222222-2-22-2-22-2-200-2-2-2-20000220000022-2000000000000000
χ2122222222-2-222-222-2-2-222000022-2-2000000-2000200-200000000000
χ2222222222-2-222-222-2-2-2220000-2-222000000-2000-200200000000000
χ2322222222-2-222-222-2-2-2-2-2000022-2-20000002000-200200000000000
χ2422222222-2-222-222-2-2-2-2-20000-2-2220000002000200-200000000000
χ252-2-22-22-22-2-2-2-222222-20000000000000000000002-20002-2002-2000
χ262-2-22-22-22-2-2-2-222222-20000000000000000000002-2000-2200-22000
χ272-2-22-22-22-2-2-2-222222-2000000000000000000000-220002-200-22000
χ282-2-22-22-22-2-2-2-222222-2000000000000000000000-22000-22002-2000
χ2944444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000
χ30444-4-4-4-44004-404-400000000000000000000000000000002i2−2i200000
χ31444-4-4-4-44004-404-40000000000000000000000000000000−2i22i200000
χ32444-4-4-4-4400-440-440004i−4i000000000000000000000000000000000
χ33444-4-4-4-4400-440-44000−4i4i000000000000000000000000000000000
χ3444-44-4-44-44-400400-40000004-400000000000000000000000000000
χ3544-44-4-44-44-400400-4000000-4400000000000000000000000000000
χ3644-44-4-44-4-4400-4004000000000000002i22i2−2i2−2i20000000000000000000
χ3744-44-4-44-4-4400-400400000000000000−2i2−2i22i22i20000000000000000000
χ384-4444-4-4-44-400-400400004i−4i0000000000000000000000000000000
χ394-4444-4-4-44-400-40040000−4i4i0000000000000000000000000000000
χ404-4444-4-4-4-4400400-40000000000000000000000000022−22000000000
χ414-4444-4-4-4-4400400-400000000000000000000000000−2222000000000
χ424-44-4-444-400000000000000002i2−2i20022−222i−2i2i−2i0000000000000000000
χ434-44-4-444-400000000000000002i2−2i200−2222−2i2i−2i2i0000000000000000000
χ444-44-4-444-40000000000000000−2i22i20022−22−2i2i−2i2i0000000000000000000
χ454-44-4-444-40000000000000000−2i22i200−22222i−2i2i−2i0000000000000000000
χ464-4-44-44-444444-4-4-4-44-400000000000000000000000000000000000
χ474-4-44-44-4444-4-4-444-4-4400000000000000000000000000000000000
χ484-4-44-44-44-4-4444-4-44-4400000000000000000000000000000000000
χ494-4-4-44-444004-40-4400000000000000022−22−22220000000000000000000
χ504-4-4-44-444004-40-44000000000000000−222222−220000000000000000000
χ514-4-4-44-44400-4404-4000000000004-40000000000000000000000000
χ524-4-4-44-44400-4404-400000000000-440000000000000000000000000
χ5388-8-888-8-8000000000000000000000000000000000000000000000

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