Finite Group Databasebeta

← Group #340400

Character table — Group #340400

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111111112222222244888888888888888816161616161616161616161616161616323232
order12222222444444444444448888888888882244444488888888244
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-11-111111-111-1-1-1-1-1-1-1-11
χ31111111111111111111111-1-1-1-11111-1-1-1-1-111-11111-1-111-1-1-1-11-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-11111-1-11-1111-1-1-1-1-11111-11-1
χ511111111111111111111-1-1111111111111-11-1-11-1-1111-1-111-1-1-1-1-1
χ611111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-11111-1
χ711111111111111111111-1-1-1-1-1-11111-1-1-1-111-111-1-11-1-1-1-1-1-111-111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-11111-1-11-11
χ9111111111111111111-1-1111111111111111-111-1-1-1-1-1-111-1-111-1-1-1
χ10111111111111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-11-1-1-1-111-1-111-1
χ11111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-11-1-1-1-1-1111111-1-1-111
χ12111111111111111111-1-111-1-1-1-1-1-1-1-11111-111-1-1-1-1111-1-1-1-1111-11
χ13111111111111111111-1-1-1-1111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1111
χ14111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1111-1-1111111-1-11
χ15111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-11-111-111-1-111111-1-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-11-11111111-1-1-1-1-11-1
χ172222222222-2-222-2-2-2-22200000022-2-200000200-200-200000000000
χ182222222222-2-222-2-2-2-222000000-2-22200000-200-200200000000000
χ192222222222-2-222-2-2-2-2-2-200000022-2-200000-200200200000000000
χ202222222222-2-222-2-2-2-2-2-2000000-2-22200000200200-200000000000
χ2122222222-2-222-2-222-2-2002222-2-20000000020-2-2000000000000000
χ2222222222-2-222-2-222-2-20022-2-22200000000-20-22000000000000000
χ2322222222-2-222-2-222-2-200-2-222-2-200000000-2022000000000000000
χ2422222222-2-222-2-222-2-200-2-2-2-22200000000202-2000000000000000
χ2522-2-22-2-22-2-2-2-222222-20000000000000000000002-2000002-22-2000
χ2622-2-22-2-22-2-2-2-222222-20000000000000000000002-200000-22-22000
χ2722-2-22-2-22-2-2-2-222222-2000000000000000000000-22000002-2-22000
χ2822-2-22-2-22-2-2-2-222222-2000000000000000000000-2200000-222-2000
χ2944444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000
χ3044-4-44-4-444444-4-4-4-44-400000000000000000000000000000000000
χ3144-4-44-4-4444-4-4-4-444-4400000000000000000000000000000000000
χ3244-4-44-4-44-4-44444-4-4-4400000000000000000000000000000000000
χ3344-4-4-444-40000000000000022−22002i2−2i2002i2i−2i−2i0000000000000000000
χ3444-4-4-444-40000000000000022−2200−2i22i200−2i−2i2i2i0000000000000000000
χ3544-4-4-444-400000000000000−2222002i2−2i200−2i−2i2i2i0000000000000000000
χ3644-4-4-444-400000000000000−222200−2i22i2002i2i−2i−2i0000000000000000000
χ374-44-444-4-44-4004-4000000000000004i−4i00000000000000000000000
χ384-44-444-4-44-4004-400000000000000−4i4i00000000000000000000000
χ394-44-444-4-4-4400-4400000000000000002i2−2i22i2−2i20000000000000000000
χ404-44-444-4-4-4400-440000000000000000−2i22i2−2i22i20000000000000000000
χ414-44-4-4-444004-4004-4000000000000000000000000000022−220000000
χ424-44-4-4-444004-4004-40000000000000000000000000000−22220000000
χ434-44-4-4-44400-4400-4400004-40000000000000000000000000000000
χ444-44-4-4-44400-4400-440000-440000000000000000000000000000000
χ454-4-444-44-44-400-4400004i−4i000000000000000000000000000000000
χ464-4-444-44-44-400-440000−4i4i000000000000000000000000000000000
χ474-4-444-44-4-44004-400000000000000000000000000002i2−2i2000000000
χ484-4-444-44-4-44004-40000000000000000000000000000−2i22i2000000000
χ494-4-44-44-44004-400-440000000000000022−22−22220000000000000000000
χ504-4-44-44-44004-400-4400000000000000−222222−220000000000000000000
χ514-4-44-44-4400-44004-4000000004-4000000000000000000000000000
χ524-4-44-44-4400-44004-400000000-44000000000000000000000000000
χ538888-8-8-8-8000000000000000000000000000000000000000000000

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