Finite Group Databasebeta

← Group #297154

Character table — Group #297154

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size1111111144444444444488888888888881616161616161616161616161616161616163232
order12222222444444444444444448888888822444444448888888844
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-11-1-1-11-1-1-11111-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-11-1-1-1-1-1-1-1111111
χ5111111111111111111111-1-1-1-11111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-111
χ6111111111111111111111-1-1-1-111111111-1-1-1111-1-1-11-1-1-1-11111-1-1
χ7111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-111111111-1-1
χ8111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111111-1-1-1-111
χ9111111111-1-1-1-1-1-111111-111111111-1-1-1-11-1-111-1-11-1-111-1-111-1-11-1
χ10111111111-1-1-1-1-1-111111-111111111-1-1-1-1-11-1-1-11-1-11111-1-1-1-111-11
χ11111111111-1-1-1-1-1-111111-11111-1-1-1-111111-1-111-1-11-1-1-1-111-1-111-11
χ12111111111-1-1-1-1-1-111111-11111-1-1-1-11111-11-1-1-11-1-111-1-11111-1-11-1
χ13111111111-1-1-1-1-1-111111-1-1-1-1-11111-1-1-1-11-11-1-1111-11-1-111-1-1111-1
χ14111111111-1-1-1-1-1-111111-1-1-1-1-11111-1-1-1-1-11111-11-11-1-1-11111-1-1-11
χ15111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-111111-11-1-1111-1111-1-111-1-1-11
χ16111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-11111-11111-11-11-111-1-1-1-1111-1
χ1722222222222-2-222-2-2-2-22-222-2-200000000002000-20000000000000
χ1822222222222-2-222-2-2-2-22-2-2-2220000000000-200020000000000000
χ19222222222-2-222-2-2-2-2-2-22222-2-20000000000-200020000000000000
χ20222222222-2-222-2-2-2-2-2-222-2-22200000000002000-20000000000000
χ2122222222-22222-2-2-2-222-2-20000000000002200000-2-200000000000
χ2222222222-22222-2-2-2-222-2-2000000000000-2-2000002200000000000
χ2322222222-222-2-2-2-222-2-2-220000000000000002-2-200020000000000
χ2422222222-222-2-2-2-222-2-2-22000000000000000-222000-20000000000
χ2522222222-2-2-2222222-2-2-2-20000000000000002-22000-20000000000
χ2622222222-2-2-2222222-2-2-2-2000000000000000-22-200020000000000
χ2722222222-2-2-2-2-222-2-222-220000000000002-200000-2200000000000
χ2822222222-2-2-2-2-222-2-222-22000000000000-22000002-200000000000
χ29222-2-2-22-2-20000002-22-2202i−2i2i−2i00002i2i−2i−2i0000000000002-2000000
χ30222-2-2-22-2-20000002-22-2202i−2i2i−2i0000−2i−2i2i2i000000000000-22000000
χ31222-2-2-22-2-20000002-22-220−2i2i−2i2i00002i2i−2i−2i000000000000-22000000
χ32222-2-2-22-2-20000002-22-220−2i2i−2i2i0000−2i−2i2i2i0000000000002-2000000
χ33222-2-2-22-2-2000000-22-22202i−2i−2i2i2i2i−2i−2i000000000000002-200000000
χ34222-2-2-22-2-2000000-22-22202i−2i−2i2i−2i−2i2i2i00000000000000-2200000000
χ35222-2-2-22-2-2000000-22-2220−2i2i2i−2i2i2i−2i−2i00000000000000-2200000000
χ36222-2-2-22-2-2000000-22-2220−2i2i2i−2i−2i−2i2i2i000000000000002-200000000
χ37444-4-4-44-440000004-4-44-4000000000000000000000000000000000
χ38444-4-4-44-44000000-444-4-4000000000000000000000000000000000
χ3944-44-4-4-4404-40000000000000000000000000000000000002i−2i2i−2i00
χ4044-44-4-4-4404-4000000000000000000000000000000000000−2i2i−2i2i00
χ4144-44-4-4-440-440000000000000000000000000000000000002i−2i−2i2i00
χ4244-44-4-4-440-44000000000000000000000000000000000000−2i2i2i−2i00
χ434-4-444-44-40004-40000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000
χ444-4-444-44-40004-4000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000
χ454-4-444-44-4000-440000000000002i−2i2i−2i−2i2i−2i2i00000000000000000000
χ464-4-444-44-4000-44000000000000−2i2i−2i2i2i−2i2i−2i00000000000000000000
χ474-4-4-4-4444000004-400000000002-2-222-2-2200000000000000000000
χ484-4-4-4-4444000004-40000000000-222-2-222-200000000000000000000
χ494-4-4-4-444400000-4400000000002-2-22-222-200000000000000000000
χ504-4-4-4-444400000-440000000000-222-22-2-2200000000000000000000
χ5188-8-888-8-8000000000000000000000000000000000000000000000
χ528-888-88-8-8000000000000000000000000000000000000000000000
χ538-88-88-8-88000000000000000000000000000000000000000000000

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