Finite Group Databasebeta

← Group #501201

Character table — Group #501201

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size11222444444448888888161616161616161616161616161616161616161616163232
order12244222224442224444222444444444888888888848
χ111111111111111111111111111111111111111111111
χ21111111111111111111111-11-1111-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ411111111111111111111-1-1-11-11-1-11111-1-1-1-1-1-11111-1-1
χ5111111111111111-11-1-1-11-11-11-11-111111-11-111-1-1-1-1-1-1
χ6111111111111111-11-1-1-11-1-1-1-1-11-1-1-1-1-11-11-1-1-1111111
χ7111111111111111-11-1-1-1-111-11-1-11-1-1-1-1-11-11111111-1-1
χ8111111111111111-11-1-1-1-11-1-1-1-1-111111-11-11-1-1-1-1-1-111
χ9111111-1-111111-1-11-1111111-11-11111-1-1-1-1-1-1-1-111-1-11-1
χ10111111-1-111111-1-11-111111-1-1-1-111-1-111-1-1-1-111-1-111-11
χ11111111-1-111111-1-11-1111-1-11-11-1-1-1-1-1111111-1-1-1-1111-1
χ12111111-1-111111-1-11-1111-1-1-1-1-1-1-1-111-1-111111111-1-1-11
χ13111111-1-111111-1-1-1-1-1-1-11-111111-111-1-1-11-11-1-1-1-111-11
χ14111111-1-111111-1-1-1-1-1-1-11-1-11-111-1-1-111-11-111111-1-11-1
χ15111111-1-111111-1-1-1-1-1-1-1-111111-11-1-1111-11-1-1-111-1-1-11
χ16111111-1-111111-1-1-1-1-1-1-1-11-11-11-1111-1-11-11-111-1-1111-1
χ1722222222-2-2-2-22-2-2020000200000-200000-20200000000
χ1822222222-2-2-2-22-2-2020000-20000020000020-200000000
χ19222222-2-2-2-2-2-22220-20000200000-20000020-200000000
χ20222222-2-2-2-2-2-22220-20000-200000200000-20200000000
χ2122222-2222-2-22-22-22-22-2-200020-2000000000000000000
χ2222222-2222-2-22-22-2-2-2-222000-202000000000000000000
χ2322222-222-222-2-2-220-2000200000-200000-202000000000
χ2422222-222-222-2-2-220-2000-20000020000020-2000000000
χ2522222-2-2-22-2-22-2-22222-2-2000-202000000000000000000
χ2622222-2-2-22-2-22-2-22-22-22200020-2000000000000000000
χ2722222-2-2-2-222-2-22-202000200000-20000020-2000000000
χ2822222-2-2-2-222-2-22-202000-200000200000-202000000000
χ29222-2-22002-22-2-20020-22-200000000002i−2i000000002i−2i00
χ30222-2-22002-22-2-20020-22-20000000000−2i2i00000000−2i2i00
χ31222-2-22002-22-2-200-202-2200000000002i−2i00000000−2i2i00
χ32222-2-22002-22-2-200-202-220000000000−2i2i000000002i−2i00
χ33222-2-2-20022-2-220020-2-22000000002-2000000002-20000
χ34222-2-2-20022-2-220020-2-2200000000-2200000000-220000
χ35222-2-2-20022-2-2200-2022-2000000002-200000000-220000
χ36222-2-2-20022-2-2200-2022-200000000-22000000002-20000
χ37444-4-4400-44-44-40000000000000000000000000000000
χ38444-4-4-400-4-44440000000000000000000000000000000
χ3944-4-4404-40000000000000020-2000000000002-2000000
χ4044-4-4404-400000000000000-20200000000000-22000000
χ4144-4-440-440000000000000020-200000000000-22000000
χ4244-4-440-4400000000000000-202000000000002-2000000
χ4388-88-8000000000000000000000000000000000000000
χ4416-16000000000000000000000000000000000000000000

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