Finite Group Databasebeta

← Group #256140

Character table — Group #256140

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222224444448888888888888888888888161616161616161616161616161616161616
order12222222444444444444442224444444444488888888224444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-11-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-1-1-1-1-111111111-1-11-1-1-1-1-1-111111-1-1-1-1
χ411111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-11111
χ511111111111111111111111-1-1111-1-111-1-1-1-111111111-1-1-111-1-1-1-1-1-1-1-1-11111
χ611111111111111111111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11111-1-1-1-1
χ711111111111111111111111-1-11-1-1-1-1-1-111111111111111-1-1-11111-1-1-1-1-1-1-1-1-1
χ811111111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111
χ911111111111111111-1-1-1-11-111-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111-1-1111-1-111-1-1
χ1011111111111111111-1-1-1-11-111-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-1111-1-111-1-111
χ1111111111111111111-1-1-1-11-111-1-1-1-1-11111111111-1-1-1-1-1-1-11-1-1-111111-1-1-1-111
χ1211111111111111111-1-1-1-11-111-1-1-1-1-1111111-1-1-1-11111-1-1-11-111-1-11-1-11111-1-1
χ1311111111111111111-1-1-1-11-1-1-1-11111-1-111111111-1-1-1-1-1-11-11-1-111-1-1-11111-1-1
χ1411111111111111111-1-1-1-11-1-1-1-11111-1-11111-1-1-1-11111-1-11-1111-1-1-111-1-1-1-111
χ1511111111111111111-1-1-1-11-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-111-1-1-1-1-111-1-111
χ1611111111111111111-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-111-111-1-111-1-1
χ172222222222-2-222-2-2-22222-2-222-200220000000000000000-2000000-200000000
χ182222222222-2-222-2-2-22222-2-2-2-2-200-2-200000000000000002000000200000000
χ192222222222-2-222-2-2-2-2-2-2-2-2222200-2-200000000000000002000000-200000000
χ202222222222-2-222-2-2-2-2-2-2-2-22-2-2200220000000000000000-2000000200000000
χ2122222222-2-222-2-222-222-2-2-2-20022200-2-20000000000000002-20000000000000
χ2222222222-2-222-2-222-222-2-2-2-2002-2-20022000000000000000-220000000000000
χ2322222222-2-222-2-222-2-2-222-2200-2220022000000000000000-2-20000000000000
χ2422222222-2-222-2-222-2-2-222-2200-2-2-200-2-2000000000000000220000000000000
χ2522222222-2-2-2-2-2-2-2-2222-2-22200-200000022-2-2000000002-20000000000000000
χ2622222222-2-2-2-2-2-2-2-2222-2-22200-2000000-2-22200000000-220000000000000000
χ2722222222-2-2-2-2-2-2-2-22-2-2222-200200000022-2-200000000-220000000000000000
χ2822222222-2-2-2-2-2-2-2-22-2-2222-2002000000-2-222000000002-20000000000000000
χ292-222-22-2-22-2002-20002i−2i2i−2i002-20002i−2i000000i2i2−i2−i222−2−20000000000i2−i22−20000
χ302-222-22-2-22-2002-20002i−2i2i−2i002-20002i−2i000000−i2−i2i2i2−2−2220000000000−i2i2−220000
χ312-222-22-2-22-2002-20002i−2i2i−2i00-22000−2i2i000000i2i2−i2−i222−2−20000000000−i2i2−220000
χ322-222-22-2-22-2002-20002i−2i2i−2i00-22000−2i2i000000−i2−i2i2i2−2−2220000000000i2−i22−20000
χ332-222-22-2-22-2002-2000−2i2i−2i2i002-2000−2i2i000000i2i2−i2−i2−2−2220000000000i2−i2−220000
χ342-222-22-2-22-2002-2000−2i2i−2i2i002-2000−2i2i000000−i2−i2i2i222−2−20000000000−i2i22−20000
χ352-222-22-2-22-2002-2000−2i2i−2i2i00-220002i−2i000000i2i2−i2−i2−2−2220000000000−i2i22−20000
χ362-222-22-2-22-2002-2000−2i2i−2i2i00-220002i−2i000000−i2−i2i2i222−2−20000000000i2−i2−220000
χ372-22-22-2-222-22-2-222-220000-200000000002-22-22i−2i2i−2i000000000002i−2i000000000
χ382-22-22-2-222-22-2-222-220000-200000000002-22-2−2i2i−2i2i00000000000−2i2i000000000
χ392-22-22-2-222-22-2-222-220000-20000000000-22-222i−2i2i−2i00000000000−2i2i000000000
χ402-22-22-2-222-22-2-222-220000-20000000000-22-22−2i2i−2i2i000000000002i−2i000000000
χ412-22-22-2-22-22-222-2-2220000-200000000002-2-2200002i−2i2i−2i000002i−2i00000000000
χ422-22-22-2-22-22-222-2-2220000-200000000002-2-220000−2i2i−2i2i00000−2i2i00000000000
χ432-22-22-2-22-22-222-2-2220000-20000000000-222-200002i−2i2i−2i00000−2i2i00000000000
χ442-22-22-2-22-22-222-2-2220000-20000000000-222-20000−2i2i−2i2i000002i−2i00000000000
χ45444-4-4-44-44400-4-4000000000000000000000022−22−22220000000000000000000000
χ46444-4-4-44-44400-4-40000000000000000000000−222222−220000000000000000000000
χ47444-4-4-44-4-4-40044000000000000000000000000002i2−2i2−2i22i2000000000000000000
χ48444-4-4-44-4-4-4004400000000000000000000000000−2i22i22i2−2i2000000000000000000
χ4944-4-4-44-44004400-4-40000000000000000000000000000000000000000002i2−2i200
χ5044-4-4-44-44004400-4-4000000000000000000000000000000000000000000−2i22i200
χ5144-4-4-44-4400-4-400440000000000000000000000000000000000000000000022−22
χ5244-4-4-44-4400-4-4004400000000000000000000000000000000000000000000−2222
χ534-444-44-4-4-4400-440004i−4i−4i4i00000000000000000000000000000000000000000
χ544-444-44-4-4-4400-44000−4i4i4i−4i00000000000000000000000000000000000000000
χ554-44-44-4-444-4-44-44-44-4000040000000000000000000000000000000000000000
χ564-44-44-4-44-444-44-44-4-4000040000000000000000000000000000000000000000
χ574-4-44-4-444004-400-4400000000004-40000000000000000000000000000000000
χ584-4-44-4-444004-400-440000000000-440000000000000000000000000000000000
χ594-4-44-4-44400-44004-4000000000000004-4000000000000000000000000000000
χ604-4-44-4-44400-44004-400000000000000-44000000000000000000000000000000
χ6188-888-8-8-8000000000000000000000000000000000000000000000000000000
χ628-8-8-8888-8000000000000000000000000000000000000000000000000000000

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