Finite Group Databasebeta

← Group #279794

Character table — Group #279794

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444444488888888888888888161616161616161616161616161616163232
order12222222444444444444888844444448888888888444444888888888844
χ111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-11-1-1-1-1-1-111-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1111111111-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-111
χ4111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1
χ511111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ611111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-1111111
χ711111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-11111-111-111-1-1-1-1111111-1-1
χ811111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111
χ9111111111111111111-1-111111111-1-1-111-1-1-1-11111-111-1-1-111-1-1-1-111-1-11-1
χ10111111111111111111-1-111111111-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-11
χ11111111111111111111-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111-1
χ12111111111111111111-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-111111-1-11111-1-1-11
χ13111111111111111111-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-1-111-1-1-111-1-111-1-111-11
χ14111111111111111111-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-11-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1-1-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111111-1-1-1-1-1-1111-1
χ17222222222-2-2222-2-2-2-222000022-2-22-2-20000000000200-200000000000000
χ18222222222-2-2222-2-2-2-2220000-2-2222-2-20000000000-200200000000000000
χ19222222222-2-2222-2-2-2-2-2-2000022-2-2-2220000000000-200200000000000000
χ20222222222-2-2222-2-2-2-2-2-20000-2-222-2220000000000200-200000000000000
χ2122222222-222-2-2-222-2-22222220000-2-22-2-222-2-20000000000000000000000
χ2222222222-222-2-2-222-2-222-2-2-2-20000-2-2222-2-2220000000000000000000000
χ2322222222-222-2-2-222-2-2-2-22222000022-2-2-2-2-2220000000000000000000000
χ2422222222-222-2-2-222-2-2-2-2-2-2-2-2000022-22222-2-20000000000000000000000
χ2522222222-2-2-2-2-2-2-2-2222200000000-22-20000002i2i−2i−2i00000000002i−2i000000
χ2622222222-2-2-2-2-2-2-2-2222200000000-22-2000000−2i−2i2i2i0000000000−2i2i000000
χ2722222222-2-2-2-2-2-2-2-222-2-2000000002-220000002i2i−2i−2i0000000000−2i2i000000
χ2822222222-2-2-2-2-2-2-2-222-2-2000000002-22000000−2i−2i2i2i00000000002i−2i000000
χ29222-22-2-2-22222-2-2-2-22-20000002-22-2000000000000002-20002-20000000000
χ30222-22-2-2-22222-2-2-2-22-20000002-22-200000000000000-22000-220000000000
χ31222-22-2-2-22222-2-2-2-22-2000000-22-22000000000000002-2000-220000000000
χ32222-22-2-2-22222-2-2-2-22-2000000-22-2200000000000000-220002-20000000000
χ33222-22-2-2-22-2-22-2-222-220000002-2-22000000000000000002i−2i002i−2i00000000
χ34222-22-2-2-22-2-22-2-222-220000002-2-2200000000000000000−2i2i00−2i2i00000000
χ35222-22-2-2-22-2-22-2-222-22000000-222-2000000000000000002i−2i00−2i2i00000000
χ36222-22-2-2-22-2-22-2-222-22000000-222-200000000000000000−2i2i002i−2i00000000
χ37444-44-4-4-4-444-444-4-4-4400000000000000000000000000000000000000000
χ38444-44-4-4-4-4-4-4-444444-400000000000000000000000000000000000000000
χ3944-44-44-4-4400-44-40000000000000000000000022−2222−22000000000000000000
χ4044-44-44-4-4400-44-400000000000000000000000−2222−2222000000000000000000
χ4144-44-44-4-4-4004-44000000000000000000000002i2−2i2−2i22i2000000000000000000
χ4244-44-44-4-4-4004-4400000000000000000000000−2i22i22i2−2i2000000000000000000
χ4344-4-4-4-444400-4-440000002i22i2−2i2−2i200000002i2−2i200000000000000000000000000
χ4444-4-4-4-444400-4-44000000−2i2−2i22i22i20000000−2i22i200000000000000000000000000
χ4544-4-4-4-444-40044-40000002i22i2−2i2−2i20000000−2i22i200000000000000000000000000
χ4644-4-4-4-444-40044-4000000−2i2−2i22i22i200000002i2−2i200000000000000000000000000
χ474-44-4-44-4400000000004i−4i22−2222−220000000002i2−2i2000000000000000000000000
χ484-44-4-44-4400000000004i−4i−2222−2222000000000−2i22i2000000000000000000000000
χ494-44-4-44-440000000000−4i4i22−2222−22000000000−2i22i2000000000000000000000000
χ504-44-4-44-440000000000−4i4i−2222−22220000000002i2−2i2000000000000000000000000
χ514-4-444-4-4404-40004-400000000000000000004i−4i0000000000000000000000
χ524-4-444-4-4404-40004-40000000000000000000−4i4i0000000000000000000000
χ534-4-444-4-440-44000-4400004i−4i−4i4i00000000000000000000000000000000000
χ544-4-444-4-440-44000-440000−4i4i4i−4i00000000000000000000000000000000000
χ554-4-4-4444-404-4000-440000000000000000000000000000000000000002i2−2i200
χ564-4-4-4444-404-4000-44000000000000000000000000000000000000000−2i22i200
χ574-4-4-4444-40-440004-400000000000000000000000000000000000002i2−2i20000
χ584-4-4-4444-40-440004-40000000000000000000000000000000000000−2i22i20000
χ598-888-8-88-8000000000000000000000000000000000000000000000000000

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