Finite Group Databasebeta

← Group #295321

Character table — Group #295321

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111111112222222244444444888888888888888888888888816161616161616161616161616161616
order12222222222244444444444444444444444444444888888882244444444448888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1
χ3111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-111111-1-1-1-1
χ4111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-11-1-1-1-1-1-1-111111
χ5111111111111111111111111-1-1111-1-11111111111111111111-1-1-11-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11-1-11111-11111
χ7111111111111111111111111-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-11111
χ8111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1111111-1-1-1-1-1
χ9111111111111-1-1-1-11-1-1-1-111111-111-1-1111111-1-1-1-11111-1-1-1-1-1-11-1-11-111-1-1111-1-1
χ10111111111111-1-1-1-11-1-1-1-111111-111-1-111-1-1-1-11111-1-1-1-11111-1-11-1-11-1-1-1111-1-111
χ11111111111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11-1111-1-11-1-111
χ12111111111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11-11-1-111111-1-1
χ13111111111111-1-1-1-11-1-1-1-1111-1-1-11111111111-1-1-1-11111-1-1-1-1-11-11-1-11-1-111-1-1-111
χ14111111111111-1-1-1-11-1-1-1-1111-1-1-1111111-1-1-1-11111-1-1-1-11111-11-11-1-1111-1-1-111-1-1
χ15111111111111-1-1-1-11-1-1-1-1111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111-11111-1-1-111-111-1-1
χ16111111111111-1-1-1-11-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11-11111-111-1-1-1-1-111
χ172222222222222222-2-2-222-2-2-222-20022000000000000000000000-20000000-20000
χ182222222222222222-2-2-222-2-2-2-2-2-200-2-20000000000000000000002000000020000
χ19222222222222-2-2-2-2-222-2-2-2-2-222200-2-200000000000000000000020000000-20000
χ20222222222222-2-2-2-2-222-2-2-2-2-2-2-220022000000000000000000000-2000000020000
χ2122222222-2-2-2-222222-2-2-2-2-2-220022200-2-20000000000000000-2000200000000000
χ2222222222-2-2-2-222222-2-2-2-2-2-22002-2-2002200000000000000002000-200000000000
χ2322222222-2-2-2-22222-222-2-222-200-2000000000000000000000002200-2-2000000000
χ2422222222-2-2-2-22222-222-2-222-200-200000000000000000000000-2-20022000000000
χ2522222222-2-2-2-2-2-2-2-222222-2-2200-22200-2-200000000000000002000-200000000000
χ2622222222-2-2-2-2-2-2-2-222222-2-2200-2-2-200220000000000000000-2000200000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-22222-2002000000000000000000000002-2002-2000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-22222-200200000000000000000000000-2200-22000000000
χ292222-2-2-2-22-22-20000-200002-220002i−2i002i−2i000022-2-200002i2i−2i−2i0000000000000000
χ302222-2-2-2-22-22-20000-200002-220002i−2i002i−2i0000-2-2220000−2i−2i2i2i0000000000000000
χ312222-2-2-2-22-22-20000-200002-22000−2i2i00−2i2i000022-2-20000−2i−2i2i2i0000000000000000
χ322222-2-2-2-22-22-20000-200002-22000−2i2i00−2i2i0000-2-22200002i2i−2i−2i0000000000000000
χ332222-2-2-2-2-22-220000-20000-2220002i−2i00−2i2i22-2-200002i2i−2i−2i00000000000000000000
χ342222-2-2-2-2-22-220000-20000-2220002i−2i00−2i2i-2-2220000−2i−2i2i2i00000000000000000000
χ352222-2-2-2-2-22-220000-20000-222000−2i2i002i−2i22-2-20000−2i−2i2i2i00000000000000000000
χ362222-2-2-2-2-22-220000-20000-222000−2i2i002i−2i-2-22200002i2i−2i−2i00000000000000000000
χ372-22-222-2-22-2-222i2i−2i−2i0002i−2i0002-20002i−2i0000000000i2−i2i2−i22−22−2000000000000i2−i22−2
χ382-22-222-2-22-2-222i2i−2i−2i0002i−2i0002-20002i−2i0000000000−i2i2−i2i2−22−22000000000000−i2i2−22
χ392-22-222-2-22-2-222i2i−2i−2i0002i−2i000-22000−2i2i0000000000i2−i2i2−i22−22−2000000000000−i2i2−22
χ402-22-222-2-22-2-222i2i−2i−2i0002i−2i000-22000−2i2i0000000000−i2i2−i2i2−22−22000000000000i2−i22−2
χ412-22-222-2-22-2-22−2i−2i2i2i000−2i2i0002-2000−2i2i0000000000i2−i2i2−i2−22−22000000000000i2−i2−22
χ422-22-222-2-22-2-22−2i−2i2i2i000−2i2i0002-2000−2i2i0000000000−i2i2−i2i22−22−2000000000000−i2i22−2
χ432-22-222-2-22-2-22−2i−2i2i2i000−2i2i000-220002i−2i0000000000i2−i2i2−i2−22−22000000000000−i2i22−2
χ442-22-222-2-22-2-22−2i−2i2i2i000−2i2i000-220002i−2i0000000000−i2i2−i2i22−22−2000000000000i2−i2−22
χ454444-4-4-4-44-44-4000040000-44-400000000000000000000000000000000000000000
χ464444-4-4-4-4-44-440000400004-4-400000000000000000000000000000000000000000
χ4744-4-44-4-4400004-44-4000000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ4844-4-44-4-4400004-44-400000000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ4944-4-44-4-440000-44-44000000000000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000
χ5044-4-44-4-440000-44-4400000000000000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000
χ5144-4-4-444-40000000004-4000000000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000
χ5244-4-4-444-40000000004-400000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000
χ5344-4-4-444-4000000000-44000000000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000
χ5444-4-4-444-4000000000-4400000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000
χ554-44-444-4-4-444-44i4i−4i−4i000−4i4i00000000000000000000000000000000000000000000
χ564-44-444-4-4-444-4−4i−4i4i4i0004i−4i00000000000000000000000000000000000000000000
χ574-44-4-4-44444-4-40000000000000000000000000000000002i2−2i2−2i22i20000000000000000
χ584-44-4-4-44444-4-4000000000000000000000000000000000−2i22i22i2−2i20000000000000000
χ594-44-4-4-444-4-4440000000000000000000000000000022−22−222200000000000000000000
χ604-44-4-4-444-4-44400000000000000000000000000000−222222−2200000000000000000000
χ614-4-444-44-400004i−4i−4i4i00000000000000000000000000000000000000002i−2i2-200000
χ624-4-444-44-400004i−4i−4i4i0000000000000000000000000000000000000000−2i2i-2200000
χ634-4-444-44-40000−4i4i4i−4i00000000000000000000000000000000000000002i−2i-2200000
χ644-4-444-44-40000−4i4i4i−4i0000000000000000000000000000000000000000−2i2i2-200000
χ658-8-88-88-88000000000000000000000000000000000000000000000000000000000

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