Finite Group Databasebeta

← Group #326422

Character table — Group #326422

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111112222222244444488888888888888888816161616161616161616161632323232
order12222222444444444488882244888888888888884444448888882444
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-11-1-11-111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-11111-1-1-1-1-1-11-111-11-1-1-1-1-1-11-11-1
χ41111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11
χ51111111111111111111111-1-1-1-11111-1-1-1-11111111-111-11-1-11111-1-1-1-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11
χ81111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-11111111-11-1
χ9111111111111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1111-11-1-1-111-1-111-1-1
χ10111111111111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-11-1111-1-1-1-111-1-111
χ11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-11-1-1-111-1-1111-1-11
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-11-111111-1-1-111-1
χ13111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-11-1-1-11111-1-1-1-111
χ14111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11-1111-1-11111-1-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111-11-1-1-1-1-111-111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-11-1111-1-111-1-11-1-11
χ17222222222-22-22-22-2-2-2000022-2-200220000-2-200000200-200000000000
χ18222222222-22-22-22-2-2-2000022-2-200-2-200002200000-200200000000000
χ19222222222-22-22-22-2-2-20000-2-22200220000-2-200000-200200000000000
χ20222222222-22-22-22-2-2-20000-2-22200-2-200002200000200-200000000000
χ2122222222-22-22-22-22-2-222220000-2-200000000000020-2-2020000000000
χ2222222222-22-22-22-22-2-222220000-2-2000000000000-20220-20000000000
χ2322222222-22-22-22-22-2-2-2-2-2-200002200000000000020-220-20000000000
χ2422222222-22-22-22-22-2-2-2-2-2-2000022000000000000-202-2020000000000
χ2522-2-2-22-2222-2-222-2-2-222i2i−2i−2i00002i−2i2i−2i00002i−2i22-2-20000000000000000
χ2622-2-2-22-2222-2-222-2-2-222i2i−2i−2i00002i−2i−2i2i0000−2i2i-2-2220000000000000000
χ2722-2-2-22-2222-2-222-2-2-22−2i−2i2i2i0000−2i2i2i−2i00002i−2i-2-2220000000000000000
χ2822-2-2-22-2222-2-222-2-2-22−2i−2i2i2i0000−2i2i−2i2i0000−2i2i22-2-20000000000000000
χ2922-2-2-22-222-2-222-2-222-200000000002i−2i22-2-2−2i2i00000000002i−2i00000000
χ3022-2-2-22-222-2-222-2-222-200000000002i−2i-2-222−2i2i0000000000−2i2i00000000
χ3122-2-2-22-222-2-222-2-222-20000000000−2i2i22-2-22i−2i0000000000−2i2i00000000
χ3222-2-2-22-222-2-222-2-222-20000000000−2i2i-2-2222i−2i00000000002i−2i00000000
χ3322-2-2-22-22-222-2-222-22-22i2i−2i−2i0000−2i2i000000000000000000002i−2i2-20000
χ3422-2-2-22-22-222-2-222-22-22i2i−2i−2i0000−2i2i00000000000000000000−2i2i-220000
χ3522-2-2-22-22-222-2-222-22-2−2i−2i2i2i00002i−2i000000000000000000002i−2i-220000
χ3622-2-2-22-22-222-2-222-22-2−2i−2i2i2i00002i−2i00000000000000000000−2i2i2-20000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000
χ384444-4-4-4-44040-40-400000004-400000000000000000000000000000000
χ394444-4-4-4-44040-40-40000000-4400000000000000000000000000000000
χ404444-4-4-4-4-40-404040000000000000002i2−2i22i2−2i20000000000000000000000
χ414444-4-4-4-4-40-40404000000000000000−2i22i2−2i22i20000000000000000000000
χ4244-4-44-44-440-40-4040000000004i−4i000000000000000000000000000000
χ4344-4-44-44-440-40-404000000000−4i4i000000000000000000000000000000
χ4444-4-44-44-4-404040-40000000000000002i2−2i2−2i22i20000000000000000000000
χ4544-4-44-44-4-404040-4000000000000000−2i22i22i2−2i20000000000000000000000
χ4644-4-4-44-44-4-444-4-444-4400000000000000000000000000000000000000
χ474-44-444-4-4040-40-404000000000000000000002i2−2i22i2−2i20000000000000000
χ484-44-444-4-4040-40-40400000000000000000000−2i22i2−2i22i20000000000000000
χ494-44-444-4-40-404040-4004i−4i4i−4i0000000000000000000000000000000000
χ504-44-444-4-40-404040-400−4i4i−4i4i0000000000000000000000000000000000
χ514-4-44-444-404040-40-4000000000000000000002i2−2i2−2i22i20000000000000000
χ524-4-44-444-404040-40-400000000000000000000−2i22i22i2−2i20000000000000000
χ534-4-44-444-40-40-40404004-4-440000000000000000000000000000000000
χ544-4-44-444-40-40-4040400-444-40000000000000000000000000000000000
χ558-88-8-8-888000000000000000000000000000000000000000000000000
χ568-8-888-8-88000000000000000000000000000000000000000000000000

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