Finite Group Databasebeta

← Group #286635

Character table — Group #286635

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444444488888888888888888161616161616161616161616161616163232
order12222222444444444444888824444448888888888244444888888888824
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1
χ311111111111111111111111111-1-11-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111
χ411111111111111111111111111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ511111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1
χ611111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-111
χ711111111111111111111-1-1-1-111-1-11-1-1-1-1-1-1-1-11111-1-11111-1-111-1-11111-1-1
χ811111111111111111111-1-1-1-111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-11111
χ9111111111111111111-1-11111-1-111-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-11
χ10111111111111111111-1-11111-1-111-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11-1
χ11111111111111111111-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-11
χ12111111111111111111-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1111-1
χ13111111111111111111-1-1-1-1-1-1-1-111-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111111-1
χ14111111111111111111-1-1-1-1-1-1-1-111-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-11-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-11111-1-1-11
χ17222222222-2-2-2222-2-2-22200002-222-2-2-20000000000-220000000000000000
χ18222222222-2-2-2222-2-2-22200002-2-2-2-22200000000002-20000000000000000
χ19222222222-2-2-2222-2-2-2-2-20000-22222-2-200000000002-20000000000000000
χ20222222222-2-2-2222-2-2-2-2-20000-22-2-22220000000000-220000000000000000
χ2122222222-2222-2-2-22-2-2222222-2200-200-2-222-2-20000000000000000000000
χ2222222222-2222-2-2-22-2-222-2-2-2-2-2200-20022-2-2220000000000000000000000
χ2322222222-2222-2-2-22-2-2-2-222222-200200-2-2-2-2220000000000000000000000
χ2422222222-2222-2-2-22-2-2-2-2-2-2-2-22-2002002222-2-20000000000000000000000
χ2522222222-2-2-2-2-2-2-2-222220000-2-2002000000002i2i−2i−2i000000000000002i−2i00
χ2622222222-2-2-2-2-2-2-2-222220000-2-200200000000−2i−2i2i2i00000000000000−2i2i00
χ2722222222-2-2-2-2-2-2-2-222-2-200002200-2000000002i2i−2i−2i00000000000000−2i2i00
χ2822222222-2-2-2-2-2-2-2-222-2-200002200-200000000−2i−2i2i2i000000000000002i−2i00
χ29222-22-2-2-222-2-22-2-222-200000000000000000002-22-200002i−2i0000002i−2i0000
χ30222-22-2-2-222-2-22-2-222-200000000000000000002-22-20000−2i2i000000−2i2i0000
χ31222-22-2-2-222-2-22-2-222-20000000000000000000-22-2200002i−2i000000−2i2i0000
χ32222-22-2-2-222-2-22-2-222-20000000000000000000-22-220000−2i2i0000002i−2i0000
χ33222-22-2-2-2-2-222-222-22-200000000000000000002i−2i−2i2i002i−2i00002-200000000
χ34222-22-2-2-2-2-222-222-22-200000000000000000002i−2i−2i2i00−2i2i0000-2200000000
χ35222-22-2-2-2-2-222-222-22-20000000000000000000−2i2i2i−2i002i−2i0000-2200000000
χ36222-22-2-2-2-2-222-222-22-20000000000000000000−2i2i2i−2i00−2i2i00002-200000000
χ37444-44-4-4-44-4444-4-4-4-4400000000000000000000000000000000000000000
χ38444-44-4-4-4-44-4-4-4444-4400000000000000000000000000000000000000000
χ3944-44-44-4-400000000004i−4i2i22i2−2i2−2i200000000022−22000000000000000000000000
χ4044-44-44-4-400000000004i−4i−2i2−2i22i22i2000000000−2222000000000000000000000000
χ4144-44-44-4-40000000000−4i4i2i22i2−2i2−2i2000000000−2222000000000000000000000000
χ4244-44-44-4-40000000000−4i4i−2i2−2i22i22i200000000022−22000000000000000000000000
χ434-444-4-44-44000-4-44000002i2−2i22i2−2i200000002i2−2i200000000000000000000000000
χ444-444-4-44-44000-4-4400000−2i22i2−2i22i20000000−2i22i200000000000000000000000000
χ454-444-4-44-4-400044-4000002i2−2i22i2−2i20000000−2i22i200000000000000000000000000
χ464-444-4-44-4-400044-400000−2i22i2−2i22i200000002i2−2i200000000000000000000000000
χ474-44-4-44-444000-44-4000000000004i−4i0000000000000000000000000000000
χ484-44-4-44-444000-44-400000000000−4i4i0000000000000000000000000000000
χ494-44-4-44-44-40004-44000000000000004-40000000000000000000000000000
χ504-44-4-44-44-40004-4400000000000000-440000000000000000000000000000
χ514-4-444-4-44044-4000-400000000000000000004i−4i0000000000000000000000
χ524-4-444-4-44044-4000-40000000000000000000−4i4i0000000000000000000000
χ534-4-444-4-440-4-44000400004-4-4400000000000000000000000000000000000
χ544-4-444-4-440-4-4400040000-444-400000000000000000000000000000000000
χ554-4-4-4444-404-44000-4000000000000000000000000000000000002i2−2i2000000
χ564-4-4-4444-404-44000-400000000000000000000000000000000000−2i22i2000000
χ574-4-4-4444-40-44-40004000000000000000000000000000000022−220000000000
χ584-4-4-4444-40-44-400040000000000000000000000000000000−22220000000000
χ5988-8-8-8-888000000000000000000000000000000000000000000000000000

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