Finite Group Databasebeta

← Group #242826

Character table — Group #242826

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11111111222222222222444444444444444444444444161616161616161616161616161616161616161616161616
order12222222444444444444224444448888888888888888444444444444888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ311111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ9111111111-1-1-1-11111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-1
χ10111111111-1-1-1-11111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-11111-1-1
χ11111111111-1-1-1-11111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-111-1-111
χ12111111111-1-1-1-11111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-1-1-111
χ13111111111-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-11111-1-1-1-111-1-111
χ14111111111-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ15111111111-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111-1-11111-1-111-1-1
χ16111111111-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-111-1-1-1-11111-1-1
χ17222222222222222-2-2-2-22-2-2-2-2-2-2222222-2-2-2-22222-2-2-2-2000000000000000000000000
χ18222222222222222-2-2-2-22-2-2-2-2-2-222-2-2-2-22222-2-2-2-22222000000000000000000000000
χ19222222222-2-2-2-222-2-2-2-222222-2-2-2-22222-2-2-2-2-2-2-2-22222000000000000000000000000
χ20222222222-2-2-2-222-2-2-2-222222-2-2-2-2-2-2-2-222222222-2-2-2-2000000000000000000000000
χ2122222222-22222-2-22222-222-2-2-2-2-2-200000000000000002-22-200000000000000000000
χ2222222222-22222-2-22222-222-2-2-2-2-2-20000000000000000-22-2200000000000000000000
χ2322222222-22222-2-2-2-2-2-2-2-2-22222-2-20000000000000000000000000000000000002i−2i2i−2i
χ2422222222-22222-2-2-2-2-2-2-2-2-22222-2-2000000000000000000000000000000000000−2i2i−2i2i
χ2522222222-2-2-2-2-2-2-22222-2-2-222-2-22200000000000000002-2-2200000000000000000000
χ2622222222-2-2-2-2-2-2-22222-2-2-222-2-2220000000000000000-222-200000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-222-2-222220000000000000000000000000000000000002i−2i−2i2i
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-222-2-22222000000000000000000000000000000000000−2i2i2i−2i
χ292-2-2222-2-2222-2-2-2-222-2-222-22-22-22-2000000000000000000000000000000002i−2i2i−2i0000
χ302-2-2222-2-2222-2-2-2-222-2-222-22-22-22-200000000000000000000000000000000−2i2i−2i2i0000
χ312-2-2222-2-2222-2-2-2-2-2-2222-22-22-222-200000000000000000000000000002i−2i2i−2i00000000
χ322-2-2222-2-2222-2-2-2-2-2-2222-22-22-222-20000000000000000000000000000−2i2i−2i2i00000000
χ332-2-2222-2-22-2-222-2-222-2-22-22-222-2-22000000000000000000000000000000002i−2i−2i2i0000
χ342-2-2222-2-22-2-222-2-222-2-22-22-222-2-2200000000000000000000000000000000−2i2i2i−2i0000
χ352-2-2222-2-22-2-222-2-2-2-22222-22-2-22-2200000000000000000000000000002i−2i−2i2i00000000
χ362-2-2222-2-22-2-222-2-2-2-22222-22-2-22-220000000000000000000000000000−2i2i2i−2i00000000
χ372-2-2222-2-2-222-2-22222-2-2-22-2-22-22-220000000000000000000000002i−2i2i−2i000000000000
χ382-2-2222-2-2-222-2-22222-2-2-22-2-22-22-22000000000000000000000000−2i2i−2i2i000000000000
χ392-2-2222-2-2-222-2-222-2-222-2-222-22-2-22000000000000000000002i−2i2i−2i0000000000000000
χ402-2-2222-2-2-222-2-222-2-222-2-222-22-2-2200000000000000000000−2i2i−2i2i0000000000000000
χ412-2-2222-2-2-2-2-2222222-2-2-2-222-2-222-20000000000000000000000002i−2i−2i2i000000000000
χ422-2-2222-2-2-2-2-2222222-2-2-2-222-2-222-2000000000000000000000000−2i2i2i−2i000000000000
χ432-2-2222-2-2-2-2-22222-2-222-22-2-222-22-2000000000000000000002i−2i−2i2i0000000000000000
χ442-2-2222-2-2-2-2-22222-2-222-22-2-222-22-200000000000000000000−2i2i2i−2i0000000000000000
χ45444-44-4-4-400000004-44-4000000000000000002222−22−222222−22−22000000000000000000000000
χ46444-44-4-4-400000004-44-400000000000000000−22−222222−22−222222000000000000000000000000
χ47444-44-4-4-40000000-44-44000000000000000002222−22−22−22−222222000000000000000000000000
χ48444-44-4-4-40000000-44-4400000000000000000−22−2222222222−22−22000000000000000000000000
χ4944-44-4-44-4400004-40000-400000000000044-4-400000000000000000000000000000000
χ5044-44-4-44-4400004-40000-4000000000000-4-44400000000000000000000000000000000
χ5144-44-4-44-4-40000-440000400000000000000004i−4i4i−4i0000000000000000000000000000
χ5244-44-4-44-4-40000-44000040000000000000000−4i4i−4i4i0000000000000000000000000000
χ5344-4-4-44-4404i−4i4i−4i0000000000000002222−22−2200002i2−2i2−2i22i20000000000000000000000000000
χ5444-4-4-44-4404i−4i4i−4i000000000000000−22−2222220000−2i22i22i2−2i20000000000000000000000000000
χ5544-4-4-44-440−4i4i−4i4i0000000000000002222−22−220000−2i22i22i2−2i20000000000000000000000000000
χ5644-4-4-44-440−4i4i−4i4i000000000000000−22−22222200002i2−2i2−2i22i20000000000000000000000000000
χ574-444-4-4-4440000-440000-4000000004-44-4000000000000000000000000000000000000
χ584-444-4-4-4440000-440000-400000000-44-44000000000000000000000000000000000000
χ594-444-4-4-44-400004-400004000000000000000000004i−4i4i−4i000000000000000000000000
χ604-444-4-4-44-400004-40000400000000000000000000−4i4i−4i4i000000000000000000000000
χ614-44-4-444-404i−4i−4i4i000000000000000000022−2222−2200002i2−2i2−2i22i2000000000000000000000000
χ624-44-4-444-404i−4i−4i4i0000000000000000000−2222−22220000−2i22i22i2−2i2000000000000000000000000
χ634-44-4-444-40−4i4i4i−4i000000000000000000022−2222−220000−2i22i22i2−2i2000000000000000000000000
χ644-44-4-444-40−4i4i4i−4i0000000000000000000−2222−222200002i2−2i2−2i22i2000000000000000000000000
χ654-4-4-44-44400000004-4-4400000000022−22−222222−22−222200000000000000000000000000000000
χ664-4-4-44-44400000004-4-44000000000−222222−22−222222−2200000000000000000000000000000000
χ674-4-4-44-4440000000-444-400000000022−22−2222−222222−2200000000000000000000000000000000
χ684-4-4-44-4440000000-444-4000000000−222222−2222−22−222200000000000000000000000000000000

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