Finite Group Databasebeta

← Group #305237

Character table — Group #305237

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111111112222222244448888888888888888888888816161616161616161616161616163232
order12222222444444444444222244444444444888888884444448888888822
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111
χ4111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ511111111111111111111-1-1-1-111111-1-111-1-11111111111-1-1-1-11111-1-1-1-1-1-1
χ611111111111111111111-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111
χ711111111111111111111-1-1-1-1111-1-111-1-11111111111-1-111-1-1-1-1-1-11111-1-1
χ811111111111111111111-1-1-1-1111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
χ911111111111111111-1-111111-1-1-11111-1-1-1-11111-1-1-1-11-11-1-1-111-1-111-1-11-1
χ1011111111111111111-1-111111-1-1-11111-1-1-1-1-1-1-1-111111-11-1-1-1-1-111-1-111-11
χ1111111111111111111-1-111111-1-1-1-1-1-1-111111111-1-1-1-1-11-11-1-1-1-111-1-1111-1
χ1211111111111111111-1-111111-1-1-1-1-1-1-11111-1-1-1-11111-11-11-1-111-1-111-1-1-11
χ1311111111111111111-1-11-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11-1-111111-1-1-1-111-11
χ1411111111111111111-1-11-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111-1-1111-1-11111-1-11-1
χ1511111111111111111-1-11-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-111-111-1-11111-1-1-11
χ1611111111111111111-1-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-111-11111-1-1-1-1111-1
χ172222222222-2-222-2-2-222-200002-2-2002200220000000000-2-2000000000000
χ182222222222-2-222-2-2-222-200002-2-200-2-200-2-2000000000022000000000000
χ192222222222-2-222-2-2-2-2-2-20000-222002200-2-20000000000-22000000000000
χ202222222222-2-222-2-2-2-2-2-20000-22200-2-2002200000000002-2000000000000
χ2122222222-2-222-2-222-222-20000-22-22200220000000000-2-200000000000000
χ2222222222-2-222-2-222-222-20000-22-2-2-200-2-200000000002200000000000000
χ2322222222-2-222-2-222-2-2-2-200002-222200-2-20000000000-2200000000000000
χ2422222222-2-222-2-222-2-2-2-200002-22-2-2002200000000002-200000000000000
χ2522222222-2-2-2-2-2-2-2-2222222-2-2-2-22000000000000000000002-20000000000
χ2622222222-2-2-2-2-2-2-2-22222-2-222-2-2200000000000000000000-220000000000
χ2722222222-2-2-2-2-2-2-2-22-2-2222-2-222-200000000000000000000-220000000000
χ2822222222-2-2-2-2-2-2-2-22-2-22-2-22222-2000000000000000000002-20000000000
χ292222-2-2-2-22-22-22-22-2-20022-22-20000000000000000000000000002i−2i002i−2i00
χ302222-2-2-2-22-22-22-22-2-20022-22-2000000000000000000000000000−2i2i00−2i2i00
χ312222-2-2-2-22-22-22-22-2-2002-22-220000000000000000000000000002i−2i00−2i2i00
χ322222-2-2-2-22-22-22-22-2-2002-22-22000000000000000000000000000−2i2i002i−2i00
χ332222-2-2-2-2-22-22-22-22-20022-2-2200000000000000000000000002i−2i002i−2i0000
χ342222-2-2-2-2-22-22-22-22-20022-2-220000000000000000000000000−2i2i00−2i2i0000
χ352222-2-2-2-2-22-22-22-22-2002-222-200000000000000000000000002i−2i00−2i2i0000
χ362222-2-2-2-2-22-22-22-22-2002-222-20000000000000000000000000−2i2i002i−2i0000
χ374444-4-4-4-44-4-444-4-44400-4000000000000000000000000000000000000000
χ384444-4-4-4-4-444-4-444-4400-4000000000000000000000000000000000000000
χ3944-4-444-4-4004400-4-40000000000000004i−4i00000000000000000000000000
χ4044-4-444-4-4004400-4-4000000000000000−4i4i00000000000000000000000000
χ4144-4-444-4-400-4-40044000000000004-4000000000000000000000000000000
χ4244-4-444-4-400-4-4004400000000000-44000000000000000000000000000000
χ4344-4-4-4-444004-400-4400000000000000000002222−22−2200000000000000000000
χ4444-4-4-4-444004-400-440000000000000000000−22−22222200000000000000000000
χ4544-4-4-4-44400-44004-4000000000000000000000002222−22−220000000000000000
χ4644-4-4-4-44400-44004-400000000000000000000000−22−2222220000000000000000
χ474-44-44-44-44400-4-400000000000000000004i−4i000000000000000000000000
χ484-44-44-44-44400-4-40000000000000000000−4i4i000000000000000000000000
χ494-44-44-44-4-4-400440000000000000004-40000000000000000000000000000
χ504-44-44-44-4-4-40044000000000000000-440000000000000000000000000000
χ514-44-4-44-444-400-4400000000000000000000022−2222−2200000000000000000000
χ524-44-4-44-444-400-44000000000000000000000−2222−222200000000000000000000
χ534-44-4-44-44-44004-4000000000000000000000000022−2222−220000000000000000
χ544-44-4-44-44-44004-40000000000000000000000000−2222−22220000000000000000
χ554-4-444-4-440000000004-400000000000000002-2-222-2-220000000000000000
χ564-4-444-4-440000000004-40000000000000000-222-2-222-20000000000000000
χ574-4-444-4-44000000000-4400000000000000002-2-22-222-20000000000000000
χ584-4-444-4-44000000000-440000000000000000-222-22-2-220000000000000000
χ598-8-88-888-8000000000000000000000000000000000000000000000000000

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