Finite Group Databasebeta

← Group #305010

Character table — Group #305010

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444444444444444444444488888888888824
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-11-1-1-1-11-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111-1-111-1-111-111-1-1-11-1-11111-1-1-1-11111-1-1
χ61111111111111111-1-111-1-111-111-1-1-11-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111-1-111-1-11-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111
χ81111111111111111-1-111-1-11-1-1-1-111-1-111-1-1-1-111111111-1-1
χ9111111111-1-11111111-1-111-11-1-1-11-1-111-111-1-111-1-111-1-11-1
χ10111111111-1-11111111-1-111-11-1-1-11-1-111-1-1-111-1-111-1-111-11
χ11111111111-1-11111111-1-111-1-1-111-11-1-1-1111-1-111-1-1-1-111-11
χ12111111111-1-11111111-1-111-1-1-111-11-1-1-11-1-111-1-11111-1-11-1
χ13111111111-1-111111-1-1-1-1-1-1-111-1-1-1111-1111-1-1-1-11111-1-1-11
χ14111111111-1-111111-1-1-1-1-1-1-111-1-1-1111-11-1-11111-1-1-1-1111-1
χ15111111111-1-111111-1-1-1-1-1-1-1-11111-11-11-111-1-1-1-111-1-1111-1
χ16111111111-1-111111-1-1-1-1-1-1-1-11111-11-11-1-1-11111-1-111-1-1-11
χ1722222222222-2-2-2-2222-22-2-2-2020000-200000000000000000
χ1822222222222-2-2-2-22-2-2-2222-20-20000200000000000000000
χ19222222222-2-2-2-2-2-22222-2-2-220-20000200000000000000000
χ20222222222-2-2-2-2-2-22-2-22-2222020000-200000000000000000
χ2122222222-22222-2-2-2002-200-200002-200-2200000000000000
χ2222222222-22222-2-2-2002-200-20000-22002-200000000000000
χ2322222222-222-2-222-200-2-2002202-2000-20000000000000000
χ2422222222-222-2-222-200-2-2002-20-2200020000000000000000
χ2522222222-2-2-222-2-2-200-2200200002200-2-200000000000000
χ2622222222-2-2-222-2-2-200-220020000-2-2002200000000000000
χ2722222222-2-2-2-2-222-2002200-220-22000-20000000000000000
χ2822222222-2-2-2-2-222-2002200-2-202-200020000000000000000
χ29222-2-22-2-2-2002-22-222-2002-200000000000002i−2i002i−2i000000
χ30222-2-22-2-2-2002-22-222-2002-20000000000000−2i2i00−2i2i000000
χ31222-2-22-2-2-2002-22-22-2200-2200000000000002i−2i00−2i2i000000
χ32222-2-22-2-2-2002-22-22-2200-220000000000000−2i2i002i−2i000000
χ33222-2-22-2-2-200-22-2222-200-22000000000002i−2i002i−2i00000000
χ34222-2-22-2-2-200-22-2222-200-2200000000000−2i2i00−2i2i00000000
χ35222-2-22-2-2-200-22-222-22002-2000000000002i−2i00−2i2i00000000
χ36222-2-22-2-2-200-22-222-22002-200000000000−2i2i002i−2i00000000
χ37444-4-44-4-44004-4-44-40000000000000000000000000000000
χ38444-4-44-4-4400-444-4-40000000000000000000000000000000
χ3944-4-44-4-4404i−4i0000000000000000000000000000002i−2i2-200
χ4044-4-44-4-4404i−4i000000000000000000000000000000−2i2i-2200
χ4144-4-44-4-440−4i4i0000000000000000000000000000002i−2i-2200
χ4244-4-44-4-440−4i4i000000000000000000000000000000−2i2i2-200
χ4388-88-8-88-8000000000000000000000000000000000000000
χ448-8888-8-8-8000000000000000000000000000000000000000
χ458-88-8-8-888000000000000000000000000000000000000000
χ468-8-88-88-88000000000000000000000000000000000000000
χ478-8-8-8888-8000000000000000000000000000000000000000

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