Finite Group Databasebeta

← Group #71276

Character table — Group #71276

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11112222222222222222224444444444444466666666666666661616161616164848
order12223444444666888888881212121212122424242424242424888888888888888822666622
χ1111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ511111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-11-1
χ611111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111-11
χ711111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-1-11
χ811111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-1111-1
χ92222222-2-2-2-22222222-2-2-2-2-2-2-2-2222222-2-2-2-2000000000000000000000000
χ102222222-2-2-2-2222-2-2-2-22222-2-2-2-222-2-2-2-22222000000000000000000000000
χ1122222-2-222-2-22220000000022-2-2-2-200000000000000002222-2-2-2-200000000
χ1222222-2-222-2-22220000000022-2-2-2-20000000000000000-2-2-2-2222200000000
χ1322222-2-2-2-22222200000000-2-222-2-2000000002222-2-2-2-20000000000000000
χ1422222-2-2-2-22222200000000-2-222-2-200000000-2-2-2-222220000000000000000
χ152222-1222222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000022-1-1-1-100
χ162222-1222222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2111100
χ172222-1222222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-11111111100000000000000002-2-1-11100
χ182222-1222222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1111111110000000000000000-2211-1-100
χ192222-122-2-2-2-2-1-1-12222-2-2-2-21111-1-1-1-1-1-11111000000000000000000−i3i3−i3i300
χ202222-122-2-2-2-2-1-1-12222-2-2-2-21111-1-1-1-1-1-11111000000000000000000i3−i3i3−i300
χ212222-122-2-2-2-2-1-1-1-2-2-2-222221111-1-11111-1-1-1-1000000000000000000−i3i3i3−i300
χ222222-122-2-2-2-2-1-1-1-2-2-2-222221111-1-11111-1-1-1-1000000000000000000i3−i3−i3i300
χ2322-2-2200002-22-2-222−2−222−2−2002-20022−2−222−2−2000022-2-222−2−222−2−200000000
χ2422-2-2200002-22-2-222−2−222−2−2002-20022−2−222−2−20000-2-222−2−222−2−22200000000
χ2522-2-2200002-22-2-2−2−222−2−222002-200−2−222−2−222000022-2-2−2−222−2−22200000000
χ2622-2-2200002-22-2-2−2−222−2−222002-200−2−222−2−2220000-2-22222−2−222−2−200000000
χ2722-2-220000-222-2-222−2−2−2−22200-220022−2−2−2−22222-2-2000022−2−2−2−22200000000
χ2822-2-220000-222-2-222−2−2−2−22200-220022−2−2−2−222-2-2220000−2−22222−2−200000000
χ2922-2-220000-222-2-2−2−22222−2−200-2200−2−22222−2−222-2-20000−2−22222−2−200000000
χ3022-2-220000-222-2-2−2−22222−2−200-2200−2−22222−2−2-2-222000022−2−2−2−22200000000
χ312-22-22002-200-22-22−22−22−22−22-200002−22−22−22−22−22−22−22−200002-22-200000000
χ322-22-22002-200-22-22−22−22−22−22-200002−22−22−22−2−22−22−22−220000-22-2200000000
χ332-22-22002-200-22-2−22−22−22−222-20000−22−22−22−222−22−22−22−20000-22-2200000000
χ342-22-22002-200-22-2−22−22−22−222-20000−22−22−22−22−22−22−22−2200002-22-200000000
χ352-22-2200-2200-22-22−22−2−22−22-2200002−22−2−22−222−22−2−22−222-22-2000000000000
χ362-22-2200-2200-22-22−22−2−22−22-2200002−22−2−22−22−22−222−22−2-22-22000000000000
χ372-22-2200-2200-22-2−22−222−22−2-220000−22−222−22−22−22−2−22−22-22-22000000000000
χ382-22-2200-2200-22-2−22−222−22−2-220000−22−222−22−2−22−222−22−22-22-2000000000000
χ392-2-2222-20000-2-2200002-2-2200002-200002-2-222−2−222−2−222−2−222−2−2200000000
χ402-2-2222-20000-2-2200002-2-2200002-200002-2-22−222−2−222−2−222−2−222−200000000
χ412-2-2222-20000-2-220000-222-200002-20000-222-22−2−222−2−22−222−2−222−200000000
χ422-2-2222-20000-2-220000-222-200002-20000-222-2−222−2−222−22−2−222−2−2200000000
χ432-2-222-220000-2-222-2-2200000000-222-2-2200002−2−22−222−22−2−22−222−200000000
χ442-2-222-220000-2-222-2-2200000000-222-2-220000−222−22−2−22−222−22−2−2200000000
χ452-2-222-220000-2-22-222-200000000-22-222-200002−2−22−222−2−222−22−2−2200000000
χ462-2-222-220000-2-22-222-200000000-22-222-20000−222−22−2−222−2−22−222−200000000
χ474444-2-4-444-4-4-2-2-200000000-2-2222200000000000000000000000000000000
χ484444-2-4-4-4-444-2-2-20000000022-2-22200000000000000000000000000000000
χ4944-4-4-200004-4-2222222−22−222222−22−2200-2200−2−222−2−222000000000000000000000000
χ5044-4-4-200004-4-222−22−222222−22−22222200-220022−2−222−2−2000000000000000000000000
χ5144-4-4-20000-44-2222222−22−22−22−222222002-200−2−22222−2−2000000000000000000000000
χ5244-4-4-20000-44-222−22−2222222222−22−22002-20022−2−2−2−222000000000000000000000000
χ534-44-4-2004-4002-2222−2222−2222−2222−22-220000−22−22−22−22000000000000000000000000
χ544-44-4-2004-4002-22−2222−2222−2222−2222-2200002−22−22−22−2000000000000000000000000
χ554-44-4-200-44002-2222−2222−22−2222−22222-20000−22−222−22−2000000000000000000000000
χ564-44-4-200-44002-22−2222−222222−2222−222-200002−22−2−22−22000000000000000000000000
χ574-4-44-24-4000022-200004-4-440000-220000-222-2000000000000000000000000
χ584-4-44-24-4000022-20000-444-40000-2200002-2-22000000000000000000000000
χ594-4-44-2-44000022-24-4-44000000002-2-222-20000000000000000000000000000
χ604-4-44-2-44000022-2-444-4000000002-22-2-220000000000000000000000000000

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