Finite Group Databasebeta

← Group #257077

Character table — Group #257077

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111111112222222244444444888888888888888888888888816161616161616161616161616161616
order12222222222244444444444444444444444444444888888884444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111
χ51111111111111111111111111-1-1-1-1111111111111111111111-1-1-11-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-1-1111-1-1-1-11111
χ71111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-11-1-1-111111111
χ81111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-1-11111111-1-1-1-1
χ9111111111111-1-1-1-1-1-1-1-11111-111-1-1111111-1-1-1-1111111-1-1-1-1-111-1-11-1-111-1-111-1-1
χ10111111111111-1-1-1-1-1-1-1-11111-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-11-11-11111-1-1-1-111
χ11111111111111-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-111111111-1-1-1-11111-111-1-11-1-1-1-111-1-111
χ12111111111111-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11-11-11-111-1-11111-1-1
χ13111111111111-1-1-1-1-1-1-1-11111-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-11-1-111-1-111-1-111
χ14111111111111-1-1-1-1-1-1-1-11111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1111-1-1-1-11111-1-1
χ15111111111111-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-11-1-11111-1-111-1-1
χ16111111111111-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-111-1111-1-111-1-1-1-111
χ17222222222222222222-2-2-2-2-2-2-222220000000000000000000000-2-2000000000000
χ18222222222222222222-2-2-2-2-2-2-2-2-2-2-2000000000000000000000022000000000000
χ19222222222222-2-2-2-2-2-222-2-2-2-2222-2-20000000000000000000000-22000000000000
χ20222222222222-2-2-2-2-2-222-2-2-2-22-2-22200000000000000000000002-2000000000000
χ2122222222-2-2-2-22222-2-2222-2-22-200000000220000-2-2000000002000-200000000000
χ2222222222-2-2-2-22222-2-2222-2-22-200000000-2-200002200000000-2000200000000000
χ2322222222-2-2-2-22222-2-2-2-2-222-2200000000000000000000000002000-2-2200000000
χ2422222222-2-2-2-22222-2-2-2-2-222-220000000000000000000000000-200022-200000000
χ2522222222-2-2-2-2-2-2-2-22222-222-2-200000000000000000000000002000-22-200000000
χ2622222222-2-2-2-2-2-2-2-22222-222-2-20000000000000000000000000-20002-2200000000
χ2722222222-2-2-2-2-2-2-2-222-2-22-2-22200000000220000-2-200000000-2000200000000000
χ2822222222-2-2-2-2-2-2-2-222-2-22-2-22200000000-2-2000022000000002000-200000000000
χ29222-22-2-2-22-22-200000000-22-220000000002i−2i2i2i−2i−2i2i−2i000022-2-20000000000000000
χ30222-22-2-2-22-22-200000000-22-220000000002i−2i−2i−2i2i2i2i−2i0000-2-2220000000000000000
χ31222-22-2-2-22-22-200000000-22-22000000000−2i2i2i2i−2i−2i−2i2i0000-2-2220000000000000000
χ32222-22-2-2-22-22-200000000-22-22000000000−2i2i−2i−2i2i2i−2i2i000022-2-20000000000000000
χ33222-22-2-2-2-22-2200000000-2-222000002i2i−2i−2i2i−2i0000−2i2i22-2-200000000000000000000
χ34222-22-2-2-2-22-2200000000-2-222000002i2i−2i−2i−2i2i00002i−2i-2-22200000000000000000000
χ35222-22-2-2-2-22-2200000000-2-22200000−2i−2i2i2i2i−2i0000−2i2i-2-22200000000000000000000
χ36222-22-2-2-2-22-2200000000-2-22200000−2i−2i2i2i−2i2i00002i−2i22-2-200000000000000000000
χ3722-2-2-22-222-2-222i2i−2i−2i2i−2i00000002i−2i2-2000000000000i2−i2i2−i22−22−20000000000002−2i2−i2
χ3822-2-2-22-222-2-222i2i−2i−2i2i−2i00000002i−2i2-2000000000000−i2i2−i2i2−22−22000000000000−22−i2i2
χ3922-2-2-22-222-2-222i2i−2i−2i2i−2i0000000−2i2i-22000000000000i2−i2i2−i22−22−2000000000000−22−i2i2
χ4022-2-2-22-222-2-222i2i−2i−2i2i−2i0000000−2i2i-22000000000000−i2i2−i2i2−22−220000000000002−2i2−i2
χ4122-2-2-22-222-2-22−2i−2i2i2i−2i2i00000002i−2i-22000000000000i2−i2i2−i2−22−220000000000002−2−i2i2
χ4222-2-2-22-222-2-22−2i−2i2i2i−2i2i00000002i−2i-22000000000000−i2i2−i2i22−22−2000000000000−22i2−i2
χ4322-2-2-22-222-2-22−2i−2i2i2i−2i2i0000000−2i2i2-2000000000000i2−i2i2−i2−22−22000000000000−22i2−i2
χ4422-2-2-22-222-2-22−2i−2i2i2i−2i2i0000000−2i2i2-2000000000000−i2i2−i2i22−22−20000000000002−2−i2i2
χ45444-44-4-4-44-44-4000000004-44-400000000000000000000000000000000000000000
χ46444-44-4-4-4-44-440000000044-4-400000000000000000000000000000000000000000
χ4744-44-4-44-444-4-400000000000000000000000000000000022−22−22220000000000000000
χ4844-44-4-44-444-4-4000000000000000000000000000000000−222222−220000000000000000
χ4944-44-4-44-4-4-444000000000000000000000000000002i2−2i2−2i22i200000000000000000000
χ5044-44-4-44-4-4-44400000000000000000000000000000−2i22i22i2−2i200000000000000000000
χ5144-4-4-44-44-444-44i4i−4i−4i−4i4i00000000000000000000000000000000000000000000000
χ5244-4-4-44-44-444-4−4i−4i4i4i4i−4i00000000000000000000000000000000000000000000000
χ534-44-4-4-44400004-44-4000000000000000000000000000000000000000002i−2i2i−2i0000
χ544-44-4-4-44400004-44-400000000000000000000000000000000000000000−2i2i−2i2i0000
χ554-44-4-4-4440000-44-44000000000000000000000000000000000000000002i−2i−2i2i0000
χ564-44-4-4-4440000-44-4400000000000000000000000000000000000000000−2i2i2i−2i0000
χ574-4-444-4-4400004i−4i−4i4i00000000000002i−2i2i−2i002-22-200000000000000000000000000
χ584-4-444-4-4400004i−4i−4i4i0000000000000−2i2i−2i2i00-22-2200000000000000000000000000
χ594-4-444-4-440000−4i4i4i−4i00000000000002i−2i2i−2i00-22-2200000000000000000000000000
χ604-4-444-4-440000−4i4i4i−4i0000000000000−2i2i−2i2i002-22-200000000000000000000000000
χ614-4-4-4444-400000000004i−4i0000000002-2-22002i−2i−2i2i00000000000000000000000000
χ624-4-4-4444-400000000004i−4i000000000-222-200−2i2i2i−2i00000000000000000000000000
χ634-4-4-4444-40000000000−4i4i0000000002-2-2200−2i2i2i−2i00000000000000000000000000
χ644-4-4-4444-40000000000−4i4i000000000-222-2002i−2i−2i2i00000000000000000000000000
χ658-888-88-8-8000000000000000000000000000000000000000000000000000000000

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