Finite Group Databasebeta

← Group #297504

Character table — Group #297504

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444444444888888888888888881616161616161616161616161616161616161616
order12222222222244444444442244444448888888822444444444444448888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111
χ51111111111111111111111-1-11-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ61111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1
χ71111111111111111111111-1-11-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-1-1-1-1-1
χ81111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111
χ9111111111111-1-1-1-1-1-1111111-11111-1-11111-1-1-1-111-1-11-11-11-1-1-111-1-111-1-1
χ10111111111111-1-1-1-1-1-1111111-11111-1-1-1-1-1-11111-1-1-1-11-11-11-111-1-111-1-111
χ11111111111111-1-1-1-1-1-1111111-111-1-1111111-1-1-1-1-1-1-1-1-11-11-111111-1-1-1-111
χ12111111111111-1-1-1-1-1-1111111-111-1-111-1-1-1-1111111-1-1-11-11-11-1-1-1-11111-1-1
χ13111111111111-1-1-1-1-1-11111-1-1-1-1-111-1-11111-1-1-1-1-1-111-111-1-1111-1-11111-1-1
χ14111111111111-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-111111111-111-1-11-1-111-1-1-1-111
χ15111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1111111-1-1-1-111111-1-111-1-1-1-1-111-1-111
χ16111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-11111-1-1111-1-111-11111-1-111-1-1
χ1722222222222222-2-2-2-2-2-2-2-20020022-2-200000000000000-22000000000000
χ1822222222222222-2-2-2-2-2-2-2-200200-2-222000000000000002-2000000000000
χ19222222222222-2-22222-2-2-2-200-200222200000000000000-2-2000000000000
χ20222222222222-2-22222-2-2-2-200-200-2-2-2-20000000000000022000000000000
χ2122222222-2-2-2-22222-2-22-2-2222-2-2-200000000000000-220000000000000000
χ2222222222-2-2-2-22222-2-22-2-22-2-2-222000000000000002-20000000000000000
χ2322222222-2-2-2-222-2-222-222-200-20000000000000000002-200-220000000000
χ2422222222-2-2-2-222-2-222-222-200-2000000000000000000-22002-20000000000
χ2522222222-2-2-2-2-2-222-2-2-222-20020000000000000000002200-2-20000000000
χ2622222222-2-2-2-2-2-222-2-2-222-2002000000000000000000-2-200220000000000
χ2722222222-2-2-2-2-2-2-2-2222-2-22222-2-2000000000000002-20000000000000000
χ2822222222-2-2-2-2-2-2-2-2222-2-22-2-222200000000000000-220000000000000000
χ292-22-22-22-222-2-2002-22-20000000002i−2i2i−2ii2i2−i2−i2i2i2−i2−i200000000000000002−22−2
χ302-22-22-22-222-2-2002-22-20000000002i−2i2i−2i−i2−i2i2i2−i2−i2i2i20000000000000000−22−22
χ312-22-22-22-222-2-2002-22-2000000000−2i2i−2i2ii2i2−i2−i2i2i2−i2−i20000000000000000−22−22
χ322-22-22-22-222-2-2002-22-2000000000−2i2i−2i2i−i2−i2i2i2−i2−i2i2i200000000000000002−22−2
χ332-22-22-22-222-2-200-22-220000000002i−2i−2i2ii2i2−i2−i2−i2−i2i2i200000000000000002−2−22
χ342-22-22-22-222-2-200-22-220000000002i−2i−2i2i−i2−i2i2i2i2i2−i2−i20000000000000000−222−2
χ352-22-22-22-222-2-200-22-22000000000−2i2i2i−2ii2i2−i2−i2−i2−i2i2i20000000000000000−222−2
χ362-22-22-22-222-2-200-22-22000000000−2i2i2i−2i−i2−i2i2i2i2i2−i2−i200000000000000002−2−22
χ372-2-2-2-22222-22-2000000-22-222-202-2000000002-22-2000000000000002-20000
χ382-2-2-2-22222-22-2000000-22-222-202-200000000-22-2200000000000000-220000
χ392-2-2-2-22222-22-2000000-22-22-220-22000000002-22-200000000000000-220000
χ402-2-2-2-22222-22-2000000-22-22-220-2200000000-22-22000000000000002-20000
χ412-2-2-2-2222-22-22000000-2-2222-20-2200002-22-200000000000000002-2000000
χ422-2-2-2-2222-22-22000000-2-2222-20-220000-22-220000000000000000-22000000
χ432-2-2-2-2222-22-22000000-2-222-2202-200002-22-20000000000000000-22000000
χ442-2-2-2-2222-22-22000000-2-222-2202-20000-22-2200000000000000002-2000000
χ45444-4-4-4-4400004i−4i00000000000000000000000002-2000000002i−2i00000000
χ46444-4-4-4-4400004i−4i0000000000000000000000000-2200000000−2i2i00000000
χ47444-4-4-4-440000−4i4i00000000000000000000000002-200000000−2i2i00000000
χ48444-4-4-4-440000−4i4i0000000000000000000000000-22000000002i−2i00000000
χ4944-44-4-44-44-4-44000000000000000000000002i2−2i2−2i22i200000000000000000000
χ5044-44-4-44-44-4-4400000000000000000000000−2i22i22i2−2i200000000000000000000
χ5144-44-4-44-4-444-400000000000000000002i2−2i2−2i22i2000000000000000000000000
χ5244-44-4-44-4-444-40000000000000000000−2i22i22i2−2i2000000000000000000000000
χ534-44-44-44-4-4-444004-4-4400000000000000000000000000000000000000000
χ544-44-44-44-4-4-44400-444-400000000000000000000000000000000000000000
χ554-4-4-4-44444-44-40000004-44-40000000000000000000000000000000000000
χ564-4-4-4-4444-44-4400000044-4-40000000000000000000000000000000000000
χ5788-8-888-8-8000000000000000000000000000000000000000000000000000
χ588-888-88-8-8000000000000000000000000000000000000000000000000000
χ598-8-888-8-88000000000000000000000000000000000000000000000000000

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