Finite Group Databasebeta

← Group #72243709

Character table — Group #72243709

Order 2916.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1113333336666699999999999912121212181818181818181818181827272727272736363636363636363636363654545454545454545454545454818181818181818181162162162
order13333333333333226666666666333333333333399666666333399999999666666666666626666666661818
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111-111-1-1111111111111111111111-1-1-1-1-1-11111111111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111-11-1-111-1-1-1-1-1-1111111111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ411111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1
χ5111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i32
χ6111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111-111-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i321−i321−i321−i321+i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-11−i321−i321−i321+i321+i321+i32-11−i321+i32
χ7111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111-11-1-1111−i321−i321−i321+i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-111−i321−i321−i321−i321+i321+i321+i321+i32-1-1-11−i321−i321−i321+i321+i321+i321−1+i32−1−i32
χ8111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111-1-1-1-1-1-11−i321−i321−i321+i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i321−i321−i321−i321+i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-11−i321+i32
χ9111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i32
χ10111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111-111-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i321+i321+i321+i321−i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-11+i321+i321+i321−i321−i321−i32-11+i321−i32
χ11111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111-11-1-1111+i321+i321+i321−i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-111+i321+i321+i321+i321−i321−i321−i321−i32-1-1-11+i321+i321+i321−i321−i321−i321−1−i32−1+i32
χ12111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111-1-1-1-1-1-11+i321+i321+i321−i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i321+i321+i321+i321−i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-11+i321−i32
χ1322222222222222020022000000222222222222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000200000000000000000-1-1-1
χ14222222222222220-200-2-2000000222222222222-1-1-1-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-10000-200000000000000000111
χ1522222222222-1-1-12022002222222-1-1-12-1-1-12-1-1-12220000002-1-1-12-1-1-12-1-1-12-1-1-102-1-1-12-1-1-1000000000000
χ1622222222222-1-1-1-20-2-200-2-2-2-2-2-22-1-1-12-1-1-12-1-1-12220000002-1-1-12-1-1-12-1-1-1-21110-2111-2111000000000000
χ172222222222-12-1-1202200222222-12-1-1-12-1-1-12-1-1222000000-12-1-1-12-1-1-12-1-1-12-1-10-12-1-1-12-1-1000000000000
χ182222222222-12-1-1-20-2-200-2-2-2-2-2-2-12-1-1-12-1-1-12-1-1222000000-12-1-1-12-1-1-12-1-11-21101-2111-211000000000000
χ192222222222-1-12-1202200222222-1-12-1-1-12-1-1-12-1222000000-1-12-1-1-12-1-1-12-1-1-12-10-1-12-1-1-12-1000000000000
χ202222222222-1-12-1-20-2-200-2-2-2-2-2-2-1-12-1-1-12-1-1-12-1222000000-1-12-1-1-12-1-1-12-111-21011-2111-21000000000000
χ212222222222-1-1-12202200222222-1-1-12-1-1-12-1-1-12222000000-1-1-12-1-1-12-1-1-12-1-1-120-1-1-12-1-1-12000000000000
χ222222222222-1-1-12-20-2-200-2-2-2-2-2-2-1-1-12-1-1-12-1-1-12222000000-1-1-12-1-1-12-1-1-12111-20111-2111-2000000000000
χ23222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222220200220000002222−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3-11−i321+i32−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i320000200000000000000000-11−i321+i32
χ24222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222220-200-2-20000002222−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3-11−i321+i321−i31−i31−i31+i31+i31+i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i320000-2000000000000000001−1+i32−1−i32
χ25222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322-1-1-1202200−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i322−1+i3−1−i30000002-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i322-1-1-10−1+i31−i321−i321−i32−1−i31+i321+i321+i32000000000000
χ26222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322-1-1-1-20-2-2001−i31−i31−i31+i31+i31+i32-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i322−1+i3−1−i30000002-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i32-211101−i3−1+i32−1+i32−1+i321+i3−1−i32−1−i32−1−i32000000000000
χ27222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32-12-1-1202200−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-12-1-11−i32−1+i31−i321−i321+i32−1−i31+i321+i322−1+i3−1−i3000000-12-1-11−i32−1+i31−i321−i321+i32−1−i31+i321+i32-12-1-101−i32−1+i31−i321−i321+i32−1−i31+i321+i32000000000000
χ28222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32-12-1-1-20-2-2001−i31−i31−i31+i31+i31+i3-12-1-11−i32−1+i31−i321−i321+i32−1−i31+i321+i322−1+i3−1−i3000000-12-1-11−i32−1+i31−i321−i321+i32−1−i31+i321+i321-2110−1+i321−i3−1+i32−1+i32−1−i321+i3−1−i32−1−i32000000000000
χ29222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32-1-12-1202200−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-12-11−i321−i32−1+i31−i321+i321+i32−1−i31+i322−1+i3−1−i3000000-1-12-11−i321−i32−1+i31−i321+i321+i32−1−i31+i32-1-12-101−i321−i32−1+i31−i321+i321+i32−1−i31+i32000000000000
χ30222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32-1-12-1-20-2-2001−i31−i31−i31+i31+i31+i3-1-12-11−i321−i32−1+i31−i321+i321+i32−1−i31+i322−1+i3−1−i3000000-1-12-11−i321−i32−1+i31−i321+i321+i32−1−i31+i3211-210−1+i32−1+i321−i3−1+i32−1−i32−1−i321+i3−1−i32000000000000
χ31222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32-1-1-12202200−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-121−i321−i321−i32−1+i31+i321+i321+i32−1−i32−1+i3−1−i3000000-1-1-121−i321−i321−i32−1+i31+i321+i321+i32−1−i3-1-1-1201−i321−i321−i32−1+i31+i321+i321+i32−1−i3000000000000
χ32222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32-1-1-12-20-2-2001−i31−i31−i31+i31+i31+i3-1-1-121−i321−i321−i32−1+i31+i321+i321+i32−1−i32−1+i3−1−i3000000-1-1-121−i321−i321−i32−1+i31+i321+i321+i32−1−i3111-20−1+i32−1+i32−1+i321−i3−1−i32−1−i32−1−i321+i3000000000000
χ33222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222220200220000002222−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3-11+i321−i32−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i320000200000000000000000-11+i321−i32
χ34222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222220-200-2-20000002222−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3-11+i321−i321+i31+i31+i31−i31−i31−i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i320000-2000000000000000001−1−i32−1+i32
χ35222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322-1-1-1202200−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i322−1−i3−1+i30000002-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i322-1-1-10−1−i31+i321+i321+i32−1+i31−i321−i321−i32000000000000
χ36222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322-1-1-1-20-2-2001+i31+i31+i31−i31−i31−i32-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i322−1−i3−1+i30000002-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i32-211101+i3−1−i32−1−i32−1−i321−i3−1+i32−1+i32−1+i32000000000000
χ37222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32-12-1-1202200−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-12-1-11+i32−1−i31+i321+i321−i32−1+i31−i321−i322−1−i3−1+i3000000-12-1-11+i32−1−i31+i321+i321−i32−1+i31−i321−i32-12-1-101+i32−1−i31+i321+i321−i32−1+i31−i321−i32000000000000
χ38222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32-12-1-1-20-2-2001+i31+i31+i31−i31−i31−i3-12-1-11+i32−1−i31+i321+i321−i32−1+i31−i321−i322−1−i3−1+i3000000-12-1-11+i32−1−i31+i321+i321−i32−1+i31−i321−i321-2110−1−i321+i3−1−i32−1−i32−1+i321−i3−1+i32−1+i32000000000000
χ39222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32-1-12-1202200−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-12-11+i321+i32−1−i31+i321−i321−i32−1+i31−i322−1−i3−1+i3000000-1-12-11+i321+i32−1−i31+i321−i321−i32−1+i31−i32-1-12-101+i321+i32−1−i31+i321−i321−i32−1+i31−i32000000000000
χ40222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32-1-12-1-20-2-2001+i31+i31+i31−i31−i31−i3-1-12-11+i321+i32−1−i31+i321−i321−i32−1+i31−i322−1−i3−1+i3000000-1-12-11+i321+i32−1−i31+i321−i321−i32−1+i31−i3211-210−1−i32−1−i321+i3−1−i32−1+i32−1+i321−i3−1+i32000000000000
χ41222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32-1-1-12202200−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-121+i321+i321+i32−1−i31−i321−i321−i32−1+i32−1−i3−1+i3000000-1-1-121+i321+i321+i32−1−i31−i321−i321−i32−1+i3-1-1-1201+i321+i321+i32−1−i31−i321−i321−i32−1+i3000000000000
χ42222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32-1-1-12-20-2-2001+i31+i31+i31−i31−i31−i3-1-1-121+i321+i321+i32−1−i31−i321−i321−i32−1+i32−1−i3−1+i3000000-1-1-121+i321+i321+i32−1−i31−i321−i321−i32−1+i3111-20−1−i32−1−i32−1−i321+i3−1+i32−1+i32−1+i321−i3000000000000
χ4344444444444-2-2-20000000000004-2-2-24-2-2-24-2-2-2-2-2-2000000-2111-2111-21110000000000000000000000000
χ444444444444-24-2-2000000000000-24-2-2-24-2-2-24-2-2-2-2-20000001-2111-2111-2110000000000000000000000000
χ454444444444-2-24-2000000000000-2-24-2-2-24-2-2-24-2-2-2-200000011-2111-2111-210000000000000000000000000
χ464444444444-2-2-24000000000000-2-2-24-2-2-24-2-2-24-2-2-2000000111-2111-2111-20000000000000000000000000
χ47444−2+2i3−2+2i3−2+2i3−2−2i3−2−2i3−2−2i344-2-2-20000000000004-2-2-2−2+2i31−i31−i31−i3−2−2i31+i31+i31+i3-21−i31+i3000000-21111−i3−1+i32−1+i32−1+i321+i3−1−i32−1−i32−1−i320000000000000000000000000
χ48444−2+2i3−2+2i3−2+2i3−2−2i3−2−2i3−2−2i34-24-2-2000000000000-24-2-21−i3−2+2i31−i31−i31+i3−2−2i31+i31+i3-21−i31+i30000001-211−1+i321−i3−1+i32−1+i32−1−i321+i3−1−i32−1−i320000000000000000000000000
χ49444−2+2i3−2+2i3−2+2i3−2−2i3−2−2i3−2−2i34-2-24-2000000000000-2-24-21−i31−i3−2+2i31−i31+i31+i3−2−2i31+i3-21−i31+i300000011-21−1+i32−1+i321−i3−1+i32−1−i32−1−i321+i3−1−i320000000000000000000000000
χ50444−2+2i3−2+2i3−2+2i3−2−2i3−2−2i3−2−2i34-2-2-24000000000000-2-2-241−i31−i31−i3−2+2i31+i31+i31+i3−2−2i3-21−i31+i3000000111-2−1+i32−1+i32−1+i321−i3−1−i32−1−i32−1−i321+i30000000000000000000000000
χ51444−2−2i3−2−2i3−2−2i3−2+2i3−2+2i3−2+2i344-2-2-20000000000004-2-2-2−2−2i31+i31+i31+i3−2+2i31−i31−i31−i3-21+i31−i3000000-21111+i3−1−i32−1−i32−1−i321−i3−1+i32−1+i32−1+i320000000000000000000000000
χ52444−2−2i3−2−2i3−2−2i3−2+2i3−2+2i3−2+2i34-24-2-2000000000000-24-2-21+i3−2−2i31+i31+i31−i3−2+2i31−i31−i3-21+i31−i30000001-211−1−i321+i3−1−i32−1−i32−1+i321−i3−1+i32−1+i320000000000000000000000000
χ53444−2−2i3−2−2i3−2−2i3−2+2i3−2+2i3−2+2i34-2-24-2000000000000-2-24-21+i31+i3−2−2i31+i31−i31−i3−2+2i31−i3-21+i31−i300000011-21−1−i32−1−i321+i3−1−i32−1+i32−1+i321−i3−1+i320000000000000000000000000
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χ83121212000000-6-6-612-600000000000033-63000000000000000000000000000000000000000000000000000000
χ84121212000000-6-6-6-612000000000000333-6000000000000000000000000000000000000000000000000000000

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