Finite Group Databasebeta

← Group #265472

Character table — Group #265472

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122224444444444444444888888888888881616161616161616161616161616161616161616
order12222222222244444444444444444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-1
χ61111111111111111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111
χ71111111111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1-1-11111
χ81111111111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-11111-1-111-1-111-1-1111111-1-1-1-1
χ9111111111111-1-1-1-1111111111111-1-1-1-11111-1-111111-11-11-11-1-1-1-1-111-1-111-1-1
χ10111111111111-1-1-1-1111111111111-1-1-1-11111-1-11111-11-11-11-11-1-1-1-1-1-111-1-111
χ11111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-11111-1-111-1-111
χ12111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11111111-1-111-1-1
χ13111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-11-1-111-1-11-1-11111-1-1-1-111
χ14111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-1-111-1-111-1-1-111-1-11111-1-1
χ15111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111111-1-111-1-1111-1-1-1-11111-1-1
χ16111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111111-111-1-111-111-1-111-1-1-1-111
χ1722222222222222222222-2-2-2-2-2-2-2-222-2-20000-2-2000000000000000000000000
χ182222222222222222-2-2-2-2-2-22222-2-2-2-2-2-2000022000000000000000000000000
χ19222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-222000022000000000000000000000000
χ20222222222222-2-2-2-2-2-2-2-2-2-22222-2-222220000-2-2000000000000000000000000
χ2122222222-2-2-2-2000022-2-22-222-2-22-20000000000000002020-20-2000000000000
χ2222222222-2-2-2-2000022-2-22-222-2-22-2000000000000000-20-20202000000000000
χ2322222222-2-2-2-2000022-2-2-22-2-222-220000000000000020-20-2020000000000000
χ2422222222-2-2-2-2000022-2-2-22-2-222-2200000000000000-202020-20000000000000
χ2522222222-2-2-2-20000-2-2222-2-2-2222-200000000000000020-20-202000000000000
χ2622222222-2-2-2-20000-2-2222-2-2-2222-2000000000000000-202020-2000000000000
χ2722222222-2-2-2-20000-2-222-2222-2-2-22000000000000002020-20-20000000000000
χ2822222222-2-2-2-20000-2-222-2222-2-2-2200000000000000-20-202020000000000000
χ2922-222-2-2-222-2-222-2-22-22-2000000002-20000000000000000000000002−22−22−22−2
χ3022-222-2-2-222-2-222-2-22-22-2000000002-2000000000000000000000000−22−22−22−22
χ3122-222-2-2-222-2-222-2-2-22-2200000000-220000000000000000000000002−22−2−22−22
χ3222-222-2-2-222-2-222-2-2-22-2200000000-22000000000000000000000000−22−222−22−2
χ3322-222-2-2-222-2-2-2-2222-22-200000000-220000000000000000000000002−2−222−2−22
χ3422-222-2-2-222-2-2-2-2222-22-200000000-22000000000000000000000000−222−2−222−2
χ3522-222-2-2-222-2-2-2-222-22-22000000002-20000000000000000000000002−2−22−222−2
χ3622-222-2-2-222-2-2-2-222-22-22000000002-2000000000000000000000000−222−22−2−22
χ372-222-22-2-22-22-22-22-20000220000-2-2002-222-2-2000000000000002-20000000000
χ382-222-22-2-22-22-22-22-20000220000-2-2002-2-2-22200000000000000-220000000000
χ392-222-22-2-22-22-22-22-20000-2-200002200-220000002i2i−2i−2i00000000002i−2i00000000
χ402-222-22-2-22-22-22-22-20000-2-200002200-22000000−2i−2i2i2i0000000000−2i2i00000000
χ412-222-22-2-22-22-2-22-220000220000-2-200-2222-2-200000000000000-220000000000
χ422-222-22-2-22-22-2-22-220000220000-2-200-22-2-222000000000000002-20000000000
χ432-222-22-2-22-22-2-22-220000-2-2000022002-20000002i2i−2i−2i0000000000−2i2i00000000
χ442-222-22-2-22-22-2-22-220000-2-2000022002-2000000−2i−2i2i2i00000000002i−2i00000000
χ4544-444-4-4-4-4-44400004-4-44000000000000000000000000000000000000000000
χ4644-444-4-4-4-4-4440000-444-4000000000000000000000000000000000000000000
χ4744-4-4-444-400000000000000004i−4i0000002-22-2002i−2i2i−2i00000000000000000000
χ4844-4-4-444-400000000000000004i−4i000000-22-2200−2i2i−2i2i00000000000000000000
χ4944-4-4-444-40000000000000000−4i4i0000002-22-200−2i2i−2i2i00000000000000000000
χ5044-4-4-444-40000000000000000−4i4i000000-22-22002i−2i2i−2i00000000000000000000
χ514-444-44-4-4-44-44000000004-40000-440000000000000000000000000000000000
χ524-444-44-4-4-44-4400000000-4400004-40000000000000000000000000000000000
χ534-4-44-4-4444-4-444-4-440000000000000000000000000000000000000000000000
χ544-4-44-4-4444-4-44-444-40000000000000000000000000000000000000000000000
χ554-4-44-4-444-444-40000000000000000000000004-4000000000000000000000000
χ564-4-44-4-444-444-4000000000000000000000000-44000000000000000000000000
χ574-4-4-444-44000000000000004-4000000002-2-22002-2-2200000000000000000000
χ584-4-4-444-44000000000000004-400000000-222-200-222-200000000000000000000
χ594-4-4-444-4400000000000000-44000000002-2-2200-222-200000000000000000000
χ604-4-4-444-4400000000000000-4400000000-222-2002-2-2200000000000000000000
χ61888-8-8-8-88000000000000000000000000000000000000000000000000000000
χ628-88-88-88-8000000000000000000000000000000000000000000000000000000

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