Finite Group Databasebeta

← Group #306292

Character table — Group #306292

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222222224488888888888888888888161616161616161616161616161616163232
order12222222444444444444444444888888888888444444448888888844
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-111111-11-1-111-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-11111-1-1-1-1111-1-1-111-1-1-1-111-1-11-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1111-1-1-1-111-11
χ51111111111111111111111-1-111-1-1-1-11111-1-1-1-11-1-11111-1-1-1-1-1-1-111-11
χ61111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1111-1-111-1-111-1-11-1
χ71111111111111111111111-1-1-1-11111111111111-1-1-1-1-11-11111-1-1-1-1-1-1
χ81111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ9111111111111111111-1-1-1-11111111111111111-1-1-11-1-1-11-1-1-1-11111-1-1
χ10111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-1-1-111
χ11111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-11111111-1-1-11
χ12111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-1-11111-1-111-1-1111-1
χ13111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1111-1-1-1-11111-1-1111-1
χ14111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11-1-1-11111-1-1-11
χ15111111111111111111-1-1-1-1-1-1-1-1111111111111-111-111-1-1-1-1-1-1-1-1-1-111
χ16111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1111-111-1-11111-1-1
χ17222222222-2-2222-2-2-2-20000222222-2-200000000000-2000-20000000000
χ18222222222-2-2222-2-2-2-2000022-2-2-2-222000000000002000-20000000000
χ19222222222-2-2222-2-2-2-20000-2-222-2-22200000000000-200020000000000
χ20222222222-2-2222-2-2-2-20000-2-2-2-222-2-200000000000200020000000000
χ2122222222-222-2-2-222-2-222-2-20000000022-2-20000200000-200000000000
χ2222222222-222-2-2-222-2-222-2-200000000-2-2220000-200000200000000000
χ2322222222-222-2-2-222-2-2-2-2220000000022-2-20000-200000200000000000
χ2422222222-222-2-2-222-2-2-2-22200000000-2-2220000200000-200000000000
χ252222-2-2-2-2222-22-2-2-2-222-22-200000000000022-2-2000000002-200000000
χ262222-2-2-2-2222-22-2-2-2-222-22-2000000000000-2-22200000000-2200000000
χ272222-2-2-2-2222-22-2-2-2-22-22-2200000000000022-2-200000000-2200000000
χ282222-2-2-2-2222-22-2-2-2-22-22-22000000000000-2-222000000002-200000000
χ292222-2-2-2-2-2222-22-2-22-22-2-2200002-22-20000000000000000002-2000000
χ302222-2-2-2-2-2222-22-2-22-22-2-220000-22-22000000000000000000-22000000
χ312222-2-2-2-2-2222-22-2-22-2-222-200002-22-2000000000000000000-22000000
χ322222-2-2-2-2-2222-22-2-22-2-222-20000-22-220000000000000000002-2000000
χ332222-2-2-2-2-2-2-22-2222-22000000002-2-220000000002i−2i02i−2i000000000000
χ342222-2-2-2-2-2-2-22-2222-22000000002-2-22000000000−2i2i0−2i2i000000000000
χ352222-2-2-2-2-2-2-22-2222-2200000000-222-20000000002i−2i0−2i2i000000000000
χ362222-2-2-2-2-2-2-22-2222-2200000000-222-2000000000−2i2i02i−2i000000000000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000
χ384444-4-4-4-44-4-4-44-4444-400000000000000000000000000000000000000
χ3944-4-44-44-44004-4-40000000000000000000000000000000000000022−2200
χ4044-4-44-44-44004-4-400000000000000000000000000000000000000−222200
χ4144-4-44-44-4-400-44400000000004i−4i000000000000000000000000000000
χ4244-4-44-44-4-400-4440000000000−4i4i000000000000000000000000000000
χ4344-4-4-44-44400-4-44000000004i−4i00000000000000000000000000000000
χ4444-4-4-44-44400-4-4400000000−4i4i00000000000000000000000000000000
χ4544-4-4-44-44-40044-40000000000000000000000000000000000002i2−2i20000
χ4644-4-4-44-44-40044-4000000000000000000000000000000000000−2i22i20000
χ474-44-44-4-4404-40004-400000000000000004i−4i0000000000000000000000
χ484-44-44-4-4404-40004-40000000000000000−4i4i0000000000000000000000
χ494-44-44-4-440-44000-440000000000000000002i2−2i22i2−2i2000000000000000000
χ504-44-44-4-440-44000-44000000000000000000−2i22i2−2i22i2000000000000000000
χ514-44-4-444-404-4000-44000000000000004i−4i000000000000000000000000
χ524-44-4-444-404-4000-4400000000000000−4i4i000000000000000000000000
χ534-44-4-444-40-440004-40000000000000000002i2−2i2−2i22i2000000000000000000
χ544-44-4-444-40-440004-4000000000000000000−2i22i22i2−2i2000000000000000000
χ558-8-8888-8-8000000000000000000000000000000000000000000000000
χ568-8-88-8-888000000000000000000000000000000000000000000000000

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