Finite Group Databasebeta

← Group #151189

Character table — Group #151189

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38
size1111224488888888881616161616161616161616161616323232323232
order12222244222244448822444448888888444888
χ111111111111111111111111111111111111111
χ2111111111111111111-1-111111111-1-1-1-1-1-1-11-1-1
χ31111111111111111-1-111-1-1-1-11-1-1-1-1-1-1-11111-1-1
χ41111111111111111-1-1-1-1-1-1-1-11-1-1-11111-1-1-1111
χ5111111111-1-11-1-1111111-111-111-1-111111-1-1-1-1-1
χ6111111111-1-11-1-11111-1-1-111-111-1-1-1-1-1-1-111-111
χ7111111111-1-11-1-111-1-1111-1-111-111-1-1-1-11-1-1-111
χ8111111111-1-11-1-111-1-1-1-11-1-111-1111111-111-1-1-1
χ922222222222222-2-200000000-20000000000-200
χ10222222222-2-22-2-2-2-200000000-20000000000200
χ1122222222-200-2002222000-2-20-22000000000000
χ1222222222-200-20022-2-2000220-2-2000000000000
χ1322222222-200-200-2-20000200220-2-20000000000
χ1422222222-200-200-2-20000-200-220220000000000
χ1522-2-2-222-2-22-222-200000000000000i2i2−i2−i20000i2−i2
χ1622-2-2-222-2-22-222-200000000000000−i2−i2i2i20000−i2i2
χ1722-2-2-222-2-2-222-2200000000000000i2i2−i2−i20000−i2i2
χ1822-2-2-222-2-2-222-2200000000000000−i2−i2i2i20000i2−i2
χ19444444-4-4000000000022000000000000-200000
χ20444444-4-40000000000-2-2000000000000200000
χ214444-4-4000220-2-2002200-20020-2000000000000
χ224444-4-4000220-2-200-2-200200-202000000000000
χ234444-4-4000-2-2022002200200-20-2000000000000
χ244444-4-4000-2-202200-2-200-200202000000000000
χ2544-4-44-40002-20-2200000002i−2i0002i−2i0000000000
χ2644-4-44-40002-20-220000000−2i2i000−2i2i0000000000
χ2744-4-44-4000-2202-200000002i−2i000−2i2i0000000000
χ2844-4-44-4000-2202-20000000−2i2i0002i−2i0000000000
χ2944-4-4-444-4400-400000000000000000000000000
χ3044-4-4-44-4400000000000000000000000002-2000
χ3144-4-4-44-440000000000000000000000000-22000
χ324-44-400000000002-22i2−2i22-200000000i2−i2i2−i2000000
χ334-44-400000000002-22i2−2i2-2200000000−i2i2−i2i2000000
χ344-44-400000000002-2−2i22i22-200000000−i2i2−i2i2000000
χ354-44-400000000002-2−2i22i2-2200000000i2−i2i2−i2000000
χ368-88-80000000000-440000000000000000000000
χ378-8-880000000000000000000000002-2-22000000
χ388-8-88000000000000000000000000-222-2000000

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