Finite Group Databasebeta

← Group #10620183

Character table — Group #10620183

Order 648.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30
size189121224243636541891212242436365418912122424363654
order13233336643363333661233633336612
χ1111111111111111111111111111111
χ2111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321
χ3111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321
χ422-2-1-1-1-111022-2-1-1-1-111022-2-1-1-1-1110
χ522-21−i321+i321−i321+i32−1+i32−1−i32022-21−i321+i321−i321+i32−1+i32−1−i32022-21−i321+i321−i321+i32−1+i32−1−i320
χ622-21+i321−i321+i321−i32−1−i32−1+i32022-21+i321−i321+i321−i32−1−i32−1+i32022-21+i321−i321+i321−i32−1−i32−1+i320
χ7333000000-1333000000-1333000000-1
χ88-1022-1-10008-1022-1-10008-1022-1-1000
χ98-10−1+i3−1−i31−i321+i320008-10−1+i3−1−i31−i321+i320008-10−1+i3−1−i31−i321+i32000
χ108-10−1−i3−1+i31+i321−i320008-10−1−i3−1+i31+i321−i320008-10−1−i3−1+i31+i321−i32000
χ111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ12111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1+i32−1+i32−1−i321−1−i321−1−i321−1+i32−1−i32−1−i32−1−i321−1+i321−1+i321−1+i32−1−i32
χ13111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1+i32−1+i32−1+i321−1−i321−1−i321−1−i32−1+i32−1−i32−1−i32−1−i32−1+i321−1+i321−1+i321−1−i32
χ1422-2-1-1-1-1110−1+i3−1+i31−i31−i321−i321−i321−i32−1+i32−1+i320−1−i3−1−i31+i31+i321+i321+i321+i32−1−i32−1−i320
χ1522-21−i321+i321−i321+i32−1+i32−1−i320−1+i3−1+i31−i31+i32-11+i32-1−1−i3210−1−i3−1−i31+i3-11−i32-11−i321−1+i320
χ1622-21+i321−i321+i321−i32−1−i32−1+i320−1+i3−1+i31−i3-11+i32-11+i321−1−i320−1−i3−1−i31+i31−i32-11−i32-1−1+i3210
χ17333000000-1−3+3i32−3+3i32−3+3i320000001−i32−3−3i32−3−3i32−3−3i320000001+i32
χ188-1022-1-1000−4+4i31−i320−1+i3−1+i31−i321−i32000−4−4i31+i320−1−i3−1−i31+i321+i32000
χ198-10−1+i3−1−i31−i321+i32000−4+4i31−i320−1−i321+i32-1000−4−4i31+i3202−1+i3-11−i32000
χ208-10−1−i3−1+i31+i321−i32000−4+4i31−i3202−1−i3-11+i32000−4−4i31+i320−1+i321−i32-1000
χ211111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ22111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1−i32−1−i32−1−i321−1+i321−1+i321−1+i32−1−i32−1+i32−1+i32−1+i32−1−i321−1−i321−1−i321−1+i32
χ23111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1−i32−1−i32−1+i321−1+i321−1+i321−1−i32−1+i32−1+i32−1+i321−1−i321−1−i321−1−i32−1+i32
χ2422-2-1-1-1-1110−1−i3−1−i31+i31+i321+i321+i321+i32−1−i32−1−i320−1+i3−1+i31−i31−i321−i321−i321−i32−1+i32−1+i320
χ2522-21−i321+i321−i321+i32−1+i32−1−i320−1−i3−1−i31+i3-11−i32-11−i321−1+i320−1+i3−1+i31−i31+i32-11+i32-1−1−i3210
χ2622-21+i321−i321+i321−i32−1−i32−1+i320−1−i3−1−i31+i31−i32-11−i32-1−1+i3210−1+i3−1+i31−i3-11+i32-11+i321−1−i320
χ27333000000-1−3−3i32−3−3i32−3−3i320000001+i32−3+3i32−3+3i32−3+3i320000001−i32
χ288-1022-1-1000−4−4i31+i320−1−i3−1−i31+i321+i32000−4+4i31−i320−1+i3−1+i31−i321−i32000
χ298-10−1+i3−1−i31−i321+i32000−4−4i31+i3202−1+i3-11−i32000−4+4i31−i320−1−i321+i32-1000
χ308-10−1−i3−1+i31+i321−i32000−4−4i31+i320−1+i321−i32-1000−4+4i31−i3202−1−i3-11+i32000

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