Finite Group Databasebeta

← Group #260080

Character table — Group #260080

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444444444888888888888888881616161616161616161616161616161616161616
order12222222222244444444444444444448888888822222444444444448888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-1111111111-1-1111-1-1-1-111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-111111111
χ51111111111111111111111-1-11-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ61111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-111-111-1-1111111-1-1-1-1
χ71111111111111111111111-1-11-1-1-1-1-1-111111111-111-1-1-1-1-111-1-11111-1-1-1-1
χ81111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-11111
χ91111111111111-1-1-1-1-1-111111-11111-1-11111-1-1-1-1-11-111-11-11-1-1-111-1-111-1-1
χ101111111111111-1-1-1-1-1-111111-11111-1-1-1-1-1-11111-11-1-1-1-11-11-111-1-111-1-111
χ111111111111111-1-1-1-1-1-111111-111-1-1111111-1-1-1-1-1-1111-1-11-11-1-1-1-111-1-111
χ121111111111111-1-1-1-1-1-111111-111-1-111-1-1-1-11111-1-11-1-1-1-11-111111-1-111-1-1
χ131111111111111-1-1-1-1-1-1111-1-1-1-1-111-1-11111-1-1-1-11-11-1-111-1-1111-1-11111-1-1
χ141111111111111-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-111111-111111-1-11-1-111-1-1-1-111
χ151111111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1111111-1-1-1-111-1-1-11-111-11111-1-1-1-111
χ161111111111111-1-1-1-1-1-1111-1-1-1-1-1-1-111-1-1-1-1111111-1111-111-1-1-1-1-11111-1-1
χ17222222222222-22222-2-2-2-2-200-200222200000000000000-2-2000000000000
χ18222222222222-22222-2-2-2-2-200-200-2-2-2-20000000000000022000000000000
χ19222222222222-2-2-2-2-222-2-2-20020022-2-200000000000000-22000000000000
χ20222222222222-2-2-2-2-222-2-2-200200-2-222000000000000002-2000000000000
χ2122222222-2-2-2-2222-2-222-2-2200-20000000000000002200000-2-20000000000
χ2222222222-2-2-2-2222-2-222-2-2200-2000000000000000-2-200000220000000000
χ2322222222-2-2-2-22-2-222-2-2-2-220020000000000000002-200000-220000000000
χ2422222222-2-2-2-22-2-222-2-2-2-22002000000000000000-22000002-20000000000
χ2522222222-2-2-2-2-222-2-2-2-222-2222-2-200000000000020000-200000000000000
χ2622222222-2-2-2-2-222-2-2-2-222-2-2-2222000000000000-20000200000000000000
χ2722222222-2-2-2-2-2-2-2222222-222-2-2-2000000000000-20000200000000000000
χ2822222222-2-2-2-2-2-2-2222222-2-2-2-22200000000000020000-200000000000000
χ2922-22-22-2-222-2-2-20000002-222i−2i02i−2i00002i2i−2i−2i00000002-2000000000000000
χ3022-22-22-2-222-2-2-20000002-222i−2i02i−2i0000−2i−2i2i2i0000000-22000000000000000
χ3122-22-22-2-222-2-2-20000002-22−2i2i0−2i2i00002i2i−2i−2i0000000-22000000000000000
χ3222-22-22-2-222-2-2-20000002-22−2i2i0−2i2i0000−2i−2i2i2i00000002-2000000000000000
χ3322-22-22-2-2-2-22220000002-2-22i−2i0−2i2i0000000022-2-200000000002i−2i00000000
χ3422-22-22-2-2-2-22220000002-2-22i−2i0−2i2i00000000-2-2220000000000−2i2i00000000
χ3522-22-22-2-2-2-22220000002-2-2−2i2i02i−2i0000000022-2-20000000000−2i2i00000000
χ3622-22-22-2-2-2-22220000002-2-2−2i2i02i−2i00000000-2-22200000000002i−2i00000000
χ372-2-2-222-222-2-2202-22-200000000002-22-22−22−22−22−200000000000000002−22−2
χ382-2-2-222-222-2-2202-22-200000000002-22-2−22−22−22−220000000000000000−22−22
χ392-2-2-222-222-2-2202-22-20000000000-22-222−22−22−22−20000000000000000−22−22
χ402-2-2-222-222-2-2202-22-20000000000-22-22−22−22−22−2200000000000000002−22−2
χ412-2-2-222-222-2-220-22-2200000000002-2-222−22−2−22−2200000000000000002−2−22
χ422-2-2-222-222-2-220-22-2200000000002-2-22−22−222−22−20000000000000000−222−2
χ432-2-2-222-222-2-220-22-220000000000-222-22−22−2−22−220000000000000000−222−2
χ442-2-2-222-222-2-220-22-220000000000-222-2−22−222−22−200000000000000002−2−22
χ4544-44-44-4-444-4-44000000-44-40000000000000000000000000000000000000
χ4644-44-44-4-4-4-444-4000000-4440000000000000000000000000000000000000
χ4744-4-4-4-4440000000004-4000000000000000000000000000000002-22-20000
χ4844-4-4-4-4440000000004-400000000000000000000000000000000-22-220000
χ4944-4-4-4-444000000000-44000000000000000000000000000000002-2-220000
χ5044-4-4-4-444000000000-4400000000000000000000000000000000-222-20000
χ514-44-4-444-44-44-400000000000000000002i2−2i2−2i22i2000000000000000000000000
χ524-44-4-444-44-44-40000000000000000000−2i22i22i2−2i2000000000000000000000000
χ534-44-4-444-4-44-440000000000000000000000022−22−222200000000000000000000
χ544-44-4-444-4-44-4400000000000000000000000−222222−2200000000000000000000
χ554-4-4-444-44-444-404-4-44000000000000000000000000000000000000000000
χ564-4-4-444-44-444-40-444-4000000000000000000000000000000000000000000
χ57888-88-8-8-8000000000000000000000000000000000000000000000000000
χ588-888-8-8-88000000000000000000000000000000000000000000000000000
χ598-8-888-88-8000000000000000000000000000000000000000000000000000

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