Finite Group Databasebeta

← Group #303033

Character table — Group #303033

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111111112222222244448888888888888888888888816161616161616161616161616163232
order12222222444444444444444444444444444888888884444448888888844
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111
χ411111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ5111111111111111111111-1-1-1-1111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1
χ6111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111
χ7111111111111111111111-1-1-1-11-1-1-1-11111111111111-1-111-1-1-1-1-1-11111-1-1
χ8111111111111111111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
χ911111111111111111-1-11-11111-111-1-1-111-1-11111-1-1-1-11-11-1-1-111-1-111-1-11-1
χ1011111111111111111-1-11-11111-111-1-1-111-1-1-1-1-1-111111-11-1-1-1-1-111-1-111-11
χ1111111111111111111-1-11-11111-1-1-111-1-1-1111111-1-1-1-1-11-11-1-1-1-111-1-1111-1
χ1211111111111111111-1-11-11111-1-1-111-1-1-111-1-1-1-11111-11-11-1-111-1-111-1-1-11
χ1311111111111111111-1-11-1-1-1-1-1-111-1-1-1-1-1111111-1-1-1-11-1-111111-1-1-1-111-11
χ1411111111111111111-1-11-1-1-1-1-1-111-1-1-1-1-111-1-1-1-111111-1-1111-1-11111-1-11-1
χ1511111111111111111-1-11-1-1-1-1-1-1-1-111-111-1-11111-1-1-1-1-111-111-1-11111-1-1-11
χ1611111111111111111-1-11-1-1-1-1-1-1-1-111-111-1-1-1-1-1-11111-111-11111-1-1-1-1111-1
χ172222222222-2-222-2-2-222-220000-22222-2000000000000-2-200000000000000
χ182222222222-2-222-2-2-222-220000-2-2-2-2-2-20000000000002200000000000000
χ192222222222-2-222-2-2-2-2-2-2-20000222-2-22000000000000-2200000000000000
χ202222222222-2-222-2-2-2-2-2-2-200002-2-22220000000000002-200000000000000
χ2122222222-2-222-2-222-222-2-2000020000-222220000000000-2-2000000000000
χ2222222222-2-222-2-222-222-2-2000020000-2-2-2-2-2000000000022000000000000
χ2322222222-2-222-2-222-2-2-2-220000-20000222-2-20000000000-22000000000000
χ2422222222-2-222-2-222-2-2-2-220000-200002-2-22200000000002-2000000000000
χ2522222222-2-2-2-2-2-2-2-22222-222-2-2-20000200000000000000002-20000000000
χ2622222222-2-2-2-2-2-2-2-22222-2-2-222-2000020000000000000000-220000000000
χ2722222222-2-2-2-2-2-2-2-22-2-22222-2-220000-20000000000000000-220000000000
χ2822222222-2-2-2-2-2-2-2-22-2-222-2-22220000-200000000000000002-20000000000
χ29222-22-2-2-22-22-22-22-2200-202-22-2000000000000000000000000002-2002-200
χ30222-22-2-2-22-22-22-22-2200-202-22-200000000000000000000000000-2200-2200
χ31222-22-2-2-22-22-22-22-2200-20-22-22000000000000000000000000002-200-2200
χ32222-22-2-2-22-22-22-22-2200-20-22-2200000000000000000000000000-22002-200
χ33222-22-2-2-2-22-22-22-22200-202-2-220000000000000000000000002-2002-20000
χ34222-22-2-2-2-22-22-22-22200-202-2-22000000000000000000000000-2200-220000
χ35222-22-2-2-2-22-22-22-22200-20-222-20000000000000000000000002-200-220000
χ36222-22-2-2-2-22-22-22-22200-20-222-2000000000000000000000000-22002-20000
χ37444-44-4-4-44-4-444-4-44-4004000000000000000000000000000000000000000
χ38444-44-4-4-4-444-4-444-4-4004000000000000000000000000000000000000000
χ3944-44-44-4-44-400-440000000000004-40000000000000000000000000000000
χ4044-44-44-4-44-400-44000000000000-440000000000000000000000000000000
χ4144-44-44-4-4-44004-4000000000000004-400000000000000000000000000000
χ4244-44-44-4-4-44004-400000000000000-4400000000000000000000000000000
χ4344-4-4-4-4444400-4-400000000000000000000000002i22i2−2i2−2i20000000000000000
χ4444-4-4-4-4444400-4-40000000000000000000000000−2i2−2i22i22i20000000000000000
χ4544-4-4-4-444-4-400440000000000000000000002222−22−2200000000000000000000
χ4644-4-4-4-444-4-40044000000000000000000000−22−22222200000000000000000000
χ474-444-4-4-44004400-4-4000000000000000000022−2222−2200000000000000000000
χ484-444-4-4-44004400-4-40000000000000000000−2222−222200000000000000000000
χ494-444-4-4-4400-4-40044000000000000000000000002i2−2i22i2−2i20000000000000000
χ504-444-4-4-4400-4-4004400000000000000000000000−2i22i2−2i22i20000000000000000
χ514-44-4-444-4004-400-44000000000000000004i−4i000000000000000000000000
χ524-44-4-444-4004-400-4400000000000000000−4i4i000000000000000000000000
χ534-44-4-444-400-44004-40000000000000004i−4i00000000000000000000000000
χ544-44-4-444-400-44004-4000000000000000−4i4i00000000000000000000000000
χ554-4-4-444-440000000004-400000000000000002-2-222-2-220000000000000000
χ564-4-4-444-440000000004-40000000000000000-222-2-222-20000000000000000
χ574-4-4-444-44000000000-4400000000000000002-2-22-222-20000000000000000
χ584-4-4-444-44000000000-440000000000000000-222-22-2-220000000000000000
χ598-8-888-88-8000000000000000000000000000000000000000000000000000

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