Finite Group Databasebeta

← Group #11919334

Character table — Group #11919334

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size111333666666666666666666666666666666161616484848646464646464646464646464
order13326644888888881212121224242424242424242424242424242424266266333333666666
χ1111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ3111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ4111111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1
χ5111111111111111111111111111111111111-1-1-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i32
χ6111111111111111111111111111111111111-1-1-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i32
χ71−1−i32−1+i321−1−i32−1+i321111111111−1−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+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ81−1−i32−1+i321−1−i32−1+i321111111111−1−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+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32
χ91−1−i32−1+i321−1−i32−1+i321111111111−1−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+i321−1−i32−1+i321−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321
χ101−1−i32−1+i321−1−i32−1+i321111111111−1−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+i32-11+i321−i32-11+i321−i321−1−i32−1+i321−1−i32−1+i32-11+i321−i32-11+i321−i32
χ111−1−i32−1+i321−1−i32−1+i321111111111−1−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+i32-11+i321−i32-11+i321−i32−1−i32−1+i321−1+i321−1−i321+i321−i32-11−i32-11+i32
χ121−1−i32−1+i321−1−i32−1+i321111111111−1−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+i32-11+i321−i32-11+i321−i32−1+i321−1−i32−1−i32−1+i3211−i32-11+i321+i321−i32-1
χ131−1+i32−1−i321−1+i32−1−i321111111111−1+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−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ141−1+i32−1−i321−1+i32−1−i321111111111−1+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−i321−1+i32−1−i321−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321
χ151−1+i32−1−i321−1+i32−1−i321111111111−1+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−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32
χ161−1+i32−1−i321−1+i32−1−i321111111111−1+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−i32-11−i321+i32-11−i321+i321−1+i32−1−i321−1+i32−1−i32-11−i321+i32-11−i321+i32
χ171−1+i32−1−i321−1+i32−1−i321111111111−1+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−i32-11−i321+i32-11−i321+i32−1−i321−1+i32−1+i32−1−i3211+i32-11−i321−i321+i32-1
χ181−1+i32−1−i321−1+i32−1−i321111111111−1+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−i32-11−i321+i32-11−i321+i32−1+i32−1−i321−1−i321−1+i321−i321+i32-11+i32-11−i32
χ1933333333-1-1-1-1-1-1-1-13333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1333-1-1-1000000000000
χ2033333333-1-1-1-1-1-1-1-13333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-3-3-3111000000000000
χ213−3−3i32−3+3i323−3−3i32−3+3i3233-1-1-1-1-1-1-1-1−3−3i32−3−3i32−3+3i32−3+3i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i323−3−3i32−3+3i32-11+i321−i32000000000000
χ223−3−3i32−3+3i323−3−3i32−3+3i3233-1-1-1-1-1-1-1-1−3−3i32−3−3i32−3+3i32−3+3i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32-33+3i323−3i321−1−i32−1+i32000000000000
χ233−3+3i32−3−3i323−3+3i32−3−3i3233-1-1-1-1-1-1-1-1−3+3i32−3+3i32−3−3i32−3−3i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i323−3+3i32−3−3i32-11−i321+i32000000000000
χ243−3+3i32−3−3i323−3+3i32−3−3i3233-1-1-1-1-1-1-1-1−3+3i32−3+3i32−3−3i32−3−3i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32-33−3i323+3i321−1+i32−1−i32000000000000
χ25666666-2-22222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2000000000000000000
χ26666666-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-22222000000000000000000
χ27666-2-2-22-20022−22-2-22+222−222-22-20022−22-2-22+222−220022−22-2-22+222−22000000000000000000
χ28666-2-2-22-200−2222-2-22−222+222-22-200−2222-2-22−222+2200−2222-2-22−222+22000000000000000000
χ29666-2-2-22-222−22002+222−22-2-22-22-222−22002+222−22-2-222−22002+222−22-2-2000000000000000000
χ30666-2-2-22-2−2222002−222+22-2-22-22-2−2222002−222+22-2-2−2222002−222+22-2-2000000000000000000
χ31666-2-2-2-22-2-22+222−2200−2222-22-22-2-22+222−2200−2222-2-22+222−2200−2222000000000000000000
χ32666-2-2-2-22-2-22−222+220022−22-22-22-2-22−222+220022−22-2-22−222+220022−22000000000000000000
χ33666-2-2-2-222+222−22-2-2−222200-22-222+222−22-2-2−2222002+222−22-2-2−222200000000000000000000
χ34666-2-2-2-222−222+22-2-222−2200-22-222−222+22-2-222−22002−222+22-2-222−2200000000000000000000
χ356−3−3i3−3+3i36−3−3i3−3+3i3-2-22222-2-2-2-21+i31+i31−i31−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3000000000000000000
χ366−3−3i3−3+3i36−3−3i3−3+3i3-2-2-2-2-2-222221+i31+i31−i31−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3000000000000000000
χ376−3−3i3−3+3i3-21+i31−i32-20022−22-2-22+222−22−1−i31+i3−1+i31−i300−2ζ7+2ζ132ζ7−2ζ131+i31+i3−2ζ4−2ζ7+2ζ13−2ζ4+2ζ7−2ζ13002ζ5−2ζ23−2ζ5+2ζ231−i31−i32ζ5−2ζ20−2ζ23−2ζ5−2ζ20+2ζ23000000000000000000
χ386−3−3i3−3+3i3-21+i31−i32-200−2222-2-22−222+22−1−i31+i3−1+i31−i3002ζ7−2ζ13−2ζ7+2ζ131+i31+i3−2ζ4+2ζ7−2ζ13−2ζ4−2ζ7+2ζ1300−2ζ5+2ζ232ζ5−2ζ231−i31−i3−2ζ5−2ζ20+2ζ232ζ5−2ζ20−2ζ23000000000000000000
χ396−3−3i3−3+3i3-21+i31−i32-222−22002+222−22-2-2−1−i31+i3−1+i31−i3−2ζ7+2ζ132ζ7−2ζ1300−2ζ4−2ζ7+2ζ13−2ζ4+2ζ7−2ζ131+i31+i32ζ5−2ζ23−2ζ5+2ζ23002ζ5−2ζ20−2ζ23−2ζ5−2ζ20+2ζ231−i31−i3000000000000000000
χ406−3−3i3−3+3i3-21+i31−i32-2−2222002−222+22-2-2−1−i31+i3−1+i31−i32ζ7−2ζ13−2ζ7+2ζ1300−2ζ4+2ζ7−2ζ13−2ζ4−2ζ7+2ζ131+i31+i3−2ζ5+2ζ232ζ5−2ζ2300−2ζ5−2ζ20+2ζ232ζ5−2ζ20−2ζ231−i31−i3000000000000000000
χ416−3−3i3−3+3i3-21+i31−i3-22-2-22+222−2200−22221+i3−1−i31−i3−1+i31+i31+i3−2ζ4−2ζ7+2ζ13−2ζ4+2ζ7−2ζ13002ζ7−2ζ13−2ζ7+2ζ131−i31−i32ζ5−2ζ20−2ζ23−2ζ5−2ζ20+2ζ2300−2ζ5+2ζ232ζ5−2ζ23000000000000000000
χ426−3−3i3−3+3i3-21+i31−i3-22-2-22−222+220022−221+i3−1−i31−i3−1+i31+i31+i3−2ζ4+2ζ7−2ζ13−2ζ4−2ζ7+2ζ1300−2ζ7+2ζ132ζ7−2ζ131−i31−i3−2ζ5−2ζ20+2ζ232ζ5−2ζ20−2ζ23002ζ5−2ζ23−2ζ5+2ζ23000000000000000000
χ436−3−3i3−3+3i3-21+i31−i3-222+222−22-2-2−2222001+i3−1−i31−i3−1+i3−2ζ4−2ζ7+2ζ13−2ζ4+2ζ7−2ζ131+i31+i32ζ7−2ζ13−2ζ7+2ζ13002ζ5−2ζ20−2ζ23−2ζ5−2ζ20+2ζ231−i31−i3−2ζ5+2ζ232ζ5−2ζ2300000000000000000000
χ446−3−3i3−3+3i3-21+i31−i3-222−222+22-2-222−22001+i3−1−i31−i3−1+i3−2ζ4+2ζ7−2ζ13−2ζ4−2ζ7+2ζ131+i31+i3−2ζ7+2ζ132ζ7−2ζ1300−2ζ5−2ζ20+2ζ232ζ5−2ζ20−2ζ231−i31−i32ζ5−2ζ23−2ζ5+2ζ2300000000000000000000
χ456−3+3i3−3−3i36−3+3i3−3−3i3-2-22222-2-2-2-21−i31−i31+i31+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3000000000000000000
χ466−3+3i3−3−3i36−3+3i3−3−3i3-2-2-2-2-2-222221−i31−i31+i31+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3000000000000000000
χ476−3+3i3−3−3i3-21−i31+i32-20022−22-2-22+222−22−1+i31−i3−1−i31+i3002ζ5−2ζ23−2ζ5+2ζ231−i31−i32ζ5−2ζ20−2ζ23−2ζ5−2ζ20+2ζ2300−2ζ7+2ζ132ζ7−2ζ131+i31+i3−2ζ4−2ζ7+2ζ13−2ζ4+2ζ7−2ζ13000000000000000000
χ486−3+3i3−3−3i3-21−i31+i32-200−2222-2-22−222+22−1+i31−i3−1−i31+i300−2ζ5+2ζ232ζ5−2ζ231−i31−i3−2ζ5−2ζ20+2ζ232ζ5−2ζ20−2ζ23002ζ7−2ζ13−2ζ7+2ζ131+i31+i3−2ζ4+2ζ7−2ζ13−2ζ4−2ζ7+2ζ13000000000000000000
χ496−3+3i3−3−3i3-21−i31+i32-222−22002+222−22-2-2−1+i31−i3−1−i31+i32ζ5−2ζ23−2ζ5+2ζ23002ζ5−2ζ20−2ζ23−2ζ5−2ζ20+2ζ231−i31−i3−2ζ7+2ζ132ζ7−2ζ1300−2ζ4−2ζ7+2ζ13−2ζ4+2ζ7−2ζ131+i31+i3000000000000000000
χ506−3+3i3−3−3i3-21−i31+i32-2−2222002−222+22-2-2−1+i31−i3−1−i31+i3−2ζ5+2ζ232ζ5−2ζ2300−2ζ5−2ζ20+2ζ232ζ5−2ζ20−2ζ231−i31−i32ζ7−2ζ13−2ζ7+2ζ1300−2ζ4+2ζ7−2ζ13−2ζ4−2ζ7+2ζ131+i31+i3000000000000000000
χ516−3+3i3−3−3i3-21−i31+i3-22-2-22+222−2200−22221−i3−1+i31+i3−1−i31−i31−i32ζ5−2ζ20−2ζ23−2ζ5−2ζ20+2ζ2300−2ζ5+2ζ232ζ5−2ζ231+i31+i3−2ζ4−2ζ7+2ζ13−2ζ4+2ζ7−2ζ13002ζ7−2ζ13−2ζ7+2ζ13000000000000000000
χ526−3+3i3−3−3i3-21−i31+i3-22-2-22−222+220022−221−i3−1+i31+i3−1−i31−i31−i3−2ζ5−2ζ20+2ζ232ζ5−2ζ20−2ζ23002ζ5−2ζ23−2ζ5+2ζ231+i31+i3−2ζ4+2ζ7−2ζ13−2ζ4−2ζ7+2ζ1300−2ζ7+2ζ132ζ7−2ζ13000000000000000000
χ536−3+3i3−3−3i3-21−i31+i3-222+222−22-2-2−2222001−i3−1+i31+i3−1−i32ζ5−2ζ20−2ζ23−2ζ5−2ζ20+2ζ231−i31−i3−2ζ5+2ζ232ζ5−2ζ2300−2ζ4−2ζ7+2ζ13−2ζ4+2ζ7−2ζ131+i31+i32ζ7−2ζ13−2ζ7+2ζ1300000000000000000000
χ546−3+3i3−3−3i3-21−i31+i3-222−222+22-2-222−22001−i3−1+i31+i3−1−i3−2ζ5−2ζ20+2ζ232ζ5−2ζ20−2ζ231−i31−i32ζ5−2ζ23−2ζ5+2ζ2300−2ζ4+2ζ7−2ζ13−2ζ4−2ζ7+2ζ131+i31+i3−2ζ7+2ζ132ζ7−2ζ1300000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.