Finite Group Databasebeta

← Group #258151

Character table — Group #258151

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444444444888888888888888881616161616161616161616161616161616161616
order12222222222244444444444444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-11-1-1-1-11-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-11111-1-1-1-11111
χ51111111111111111111111-1-11-1-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-11-1-111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111
χ81111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111111111-1-1-1-1
χ9111111111111-1-1-1-1-1-1111111-1111111-1-1-1-111-1-1-11-11-1-11-111-1-111-1-111-1-1
χ10111111111111-1-1-1-1-1-1111111-1111111-1-1-1-1-1-111-1-11-11-1-11-1-11111-1-1-1-111
χ11111111111111-1-1-1-1-1-1111111-111-1-1-1-1111111-1-1-11-11-1-11-1-1-111-1-111-1-111
χ12111111111111-1-1-1-1-1-1111111-111-1-1-1-11111-1-111-1-11-11-1-1111-1-1-1-11111-1-1
χ13111111111111-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-111-1-11-11-1111-111-1-1-1-111-1-111
χ14111111111111-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-11111-11-11-11-1-111-1-11111-1-1
χ15111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-1-11-11-1111-1-1-11111-1-111-1-1
χ16111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-11111-11-11-1111-1-111-1-1-1-111
χ172222222222222222-2-2-2-2-2-200-2000000000022-2-2000000-22000000000000
χ182222222222222222-2-2-2-2-2-200-20000000000-2-2220000002-2000000000000
χ19222222222222-2-2-2-222-2-2-2-200200000000002222000000-2-2000000000000
χ20222222222222-2-2-2-222-2-2-2-20020000000000-2-2-2-200000022000000000000
χ2122222222-2-2-2-222-2-2222-2-2200-200000000000000022-2-2000000000000000
χ2222222222-2-2-2-222-2-2222-2-2200-2000000000000000-2-222000000000000000
χ2322222222-2-2-2-222-2-2-2-2-222-2222-2-200000000000020000-200000000000000
χ2422222222-2-2-2-222-2-2-2-2-222-2-2-2222000000000000-20000200000000000000
χ2522222222-2-2-2-2-2-22222-222-222-2-2-2000000000000-20000200000000000000
χ2622222222-2-2-2-2-2-22222-222-2-2-2-22200000000000020000-200000000000000
χ2722222222-2-2-2-2-2-222-2-22-2-220020000000000000002-2-22000000000000000
χ2822222222-2-2-2-2-2-222-2-22-2-22002000000000000000-222-2000000000000000
χ2922-2-2-2-22222-2-2000000-22-222i−2i02i−2i2i2i−2i−2i000000000000000000002-2000000
χ3022-2-2-2-22222-2-2000000-22-222i−2i02i−2i−2i−2i2i2i00000000000000000000-22000000
χ3122-2-2-2-22222-2-2000000-22-22−2i2i0−2i2i2i2i−2i−2i00000000000000000000-22000000
χ3222-2-2-2-22222-2-2000000-22-22−2i2i0−2i2i−2i−2i2i2i000000000000000000002-2000000
χ3322-2-2-2-222-2-22200000022-2-22i−2i0−2i2i000022-2-20000000000000000002i−2i0000
χ3422-2-2-2-222-2-22200000022-2-22i−2i0−2i2i0000-2-222000000000000000000−2i2i0000
χ3522-2-2-2-222-2-22200000022-2-2−2i2i02i−2i000022-2-2000000000000000000−2i2i0000
χ3622-2-2-2-222-2-22200000022-2-2−2i2i02i−2i0000-2-2220000000000000000002i−2i0000
χ374444-4-4-4-400004-40000000000000000000000000000000002-22-200000000
χ384444-4-4-4-400004-4000000000000000000000000000000000-22-2200000000
χ394444-4-4-4-40000-440000000000000000000000000000000002-2-2200000000
χ404444-4-4-4-40000-44000000000000000000000000000000000-222-200000000
χ4144-4-4-4-44444-4-40000004-44-40000000000000000000000000000000000000
χ4244-4-4-4-444-4-444000000-4-4440000000000000000000000000000000000000
χ434-44-44-44-4000000004-40000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ444-44-44-44-4000000004-4000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ454-44-44-44-400000000-440000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000
χ464-44-44-44-400000000-44000000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000
χ474-44-4-44-444-44-40000000000000000000000000000000000000000000002i2−2i2
χ484-44-4-44-444-44-4000000000000000000000000000000000000000000000−2i22i2
χ494-44-4-44-44-44-4400000000000000000000000000000000000000000002i2−2i200
χ504-44-4-44-44-44-440000000000000000000000000000000000000000000−2i22i200
χ514-4-444-4-444-4-4400000000000000000000000004i−4i00000000000000000000
χ524-4-444-4-444-4-440000000000000000000000000−4i4i00000000000000000000
χ534-4-444-4-44-444-4000000000000000000000004i−4i0000000000000000000000
χ544-4-444-4-44-444-400000000000000000000000−4i4i0000000000000000000000
χ554-4-44-444-40000004i−4i000000000002-2-222i−2i−2i2i000000000000000000000000
χ564-4-44-444-40000004i−4i00000000000-222-2−2i2i2i−2i000000000000000000000000
χ574-4-44-444-4000000−4i4i000000000002-2-22−2i2i2i−2i000000000000000000000000
χ584-4-44-444-4000000−4i4i00000000000-222-22i−2i−2i2i000000000000000000000000
χ5988-8-888-8-8000000000000000000000000000000000000000000000000000

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