Finite Group Databasebeta

← Group #503503

Character table — Group #503503

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1122222444444444888888881616161616161616161616161616161616161616163232
order12244882224444482448888822444444444488888888844
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111
χ511111111111-1-1111-1-1-1111-1-111-1-111-1-111-1-1-1111111-1-1-1-1
χ611111111111-1-1111-1-1-1111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-11111
χ711111111111-1-1111-1-1-1111-1-1-1-111-1-11111-1-1-1-1-1-1-111-1-111
χ811111111111-1-1111-1-1-1111-1-1-1-111-1-111-1-111-11111-1-111-1-1
χ911111-1-111111111-1111-1-1-1-1-11-11-11-11-11111-111-1-1-1-1-1-11-1
χ1011111-1-111111111-1111-1-1-1-1-11-11-11-11-1-1-1-1-1-1-1-1111111-11
χ1111111-1-111111111-1111-1-1-1-1-1-11-11-11-111111-1-1-111-1-1-1-1-11
χ1211111-1-111111111-1111-1-1-1-1-1-11-11-11-11-1-1-1-1-111-1-111111-1
χ1311111-1-11111-1-111-1-1-1-1-1-1-1111-1-111-1-1111-1-1111-1-1-1-111-11
χ1411111-1-11111-1-111-1-1-1-1-1-1-1111-1-111-1-11-1-1111-1-11111-1-11-1
χ1511111-1-11111-1-111-1-1-1-1-1-1-111-111-1-111-111-1-11-1-111-1-1111-1
χ1611111-1-11111-1-111-1-1-1-1-1-1-111-111-1-111-1-1-111111-1-111-1-1-11
χ1722222222-2-2-2002-220002-2-200002200-2-2000000000000000
χ1822222222-2-2-2002-220002-2-20000-2-20022000000000000000
χ192222222-22-2-200-222000-22-2002200-2-200000000000000000
χ202222222-22-2-200-222000-22-200-2-2002200000000000000000
χ212222222-2-22222-2-22-2-22-2-2222000000000000-20000000000
χ222222222-2-222-2-2-2-2222-2-2-22-2-200000000000020000000000
χ2322222-2-22-2-2-2002-2-2000-22200002-200-22000000000000000
χ2422222-2-22-2-2-2002-2-2000-2220000-22002-2000000000000000
χ2522222-2-2-22-2-200-22-20002-22002-200-2200000000000000000
χ2622222-2-2-22-2-200-22-20002-2200-22002-200000000000000000
χ2722222-2-2-2-22222-2-2-2-2-2222-2-2-200000000000020000000000
χ2822222-2-2-2-222-2-2-2-2-222-222-222000000000000-20000000000
χ29222-2-20022-2222-2-20-22-200000000000000000000002i−2i2i−2i00
χ30222-2-20022-2222-2-20-22-20000000000000000000000−2i2i−2i2i00
χ31222-2-20022-22-2-2-2-202-2200000000000000000000002i−2i−2i2i00
χ32222-2-20022-22-2-2-2-202-220000000000000000000000−2i2i2i−2i00
χ33222-2-200-2-2-22222202-2-200000000000002i−2i2i−2i00000000000
χ34222-2-200-2-2-22222202-2-20000000000000−2i2i−2i2i00000000000
χ35222-2-200-2-2-22-2-2220-22200000000000002i−2i−2i2i00000000000
χ36222-2-200-2-2-22-2-2220-2220000000000000−2i2i2i−2i00000000000
χ37444-4-4004-44-400-4400000000000000000000000000000000
χ38444-4-400-444-4004-400000000000000000000000000000000
χ3944-44-44400000000-40000000000000000000002i−2i2i−2i000000
χ4044-44-44400000000-4000000000000000000000−2i2i−2i2i000000
χ4144-44-4-4-40000000040000000000000000000002i−2i−2i2i000000
χ4244-44-4-4-4000000004000000000000000000000−2i2i2i−2i000000
χ4388-8-88000000000000000000000000000000000000000000
χ448-800042−4200004i−4i0000000002i2−2i200000000000000000000000
χ458-800042−420000−4i4i000000000−2i22i200000000000000000000000
χ468-8000−424200004i−4i000000000−2i22i200000000000000000000000
χ478-8000−42420000−4i4i0000000002i2−2i200000000000000000000000

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