Finite Group Databasebeta

← Group #11721353

Character table — Group #11721353

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size111333333333334446666666666666666661212121212121212121212484848484848484848484848
order13323366666666266441212121212121212121212121212121226666666666999999181818181818
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ31111111111111111111111111111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ411111111111111-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ511111111111111-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i32
χ611111111111111-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i32
χ71111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111−1+i32−1+i32−1+i32−1+i32−1+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−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ81111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111−1+i32−1+i32−1+i32−1+i32−1+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−i32−1−i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32
χ91111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111−1+i32−1+i32−1+i32−1+i32−1+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−i32−1−i32−1−i32−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321
χ101111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−1+i32−1−i321−1+i32−1−i32-11−i321+i32-11−i321+i32
χ111111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1−i321−1−i321−1+i321−i321+i32-11+i32-11−i32
χ121111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1−i321−1+i32−1+i32−1−i3211+i32-11−i321−i321+i32-1
χ131111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111−1−i32−1−i32−1−i32−1−i32−1−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+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ141111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111−1−i32−1−i32−1−i32−1−i32−1−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+i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321
χ151111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111−1−i32−1−i32−1−i32−1−i32−1−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+i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32
χ161111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321−1−i32−1+i321−1−i32−1+i32-11+i321−i32-11+i321−i32
χ171111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1+i321−1−i32−1−i32−1+i3211−i32-11+i321+i321−i32-1
χ181111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1+i321−1+i321−1−i321+i321−i32-11−i32-11+i32
χ1933333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-13-1-1-13-1-1-1000000000000
χ2033333333333333-3-3-3-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-3111-3111000000000000
χ213333−3+3i32−3−3i3233−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32333-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32-1-1-1−3+3i321−i321−i321−i32−3−3i321+i321+i321+i32000000000000
χ223333−3+3i32−3−3i3233−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-3-3-3-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321113−3i32−1+i32−1+i32−1+i323+3i32−1−i32−1−i32−1−i32000000000000
χ233333−3−3i32−3+3i3233−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32333-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32-1-1-1−3−3i321+i321+i321+i32−3+3i321−i321−i321−i32000000000000
χ243333−3−3i32−3+3i3233−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-3-3-3-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321113+3i32−1−i32−1−i32−1−i323−3i32−1+i32−1+i32−1+i32000000000000
χ253−3+3i32−3−3i32300−3+3i32−3−3i320000003−3+3i32−3−3i3233−3+3i32−3+3i32−3−3i32−3−3i320000000000003−3+3i32−3−3i3200000000000000000000
χ263−3+3i32−3−3i32300−3+3i32−3−3i320000003−3+3i32−3−3i32-1-11−i321−i321+i321+i3222−1+i3−1+i3−1−i3−1−i322−1+i3−1+i3−1−i3−1−i3-11−i321+i3202−1+i3−1−i302−1+i3−1−i3000000000000
χ273−3+3i32−3−3i32300−3+3i32−3−3i320000003−3+3i32−3−3i32-1-11−i321−i321+i321+i32−1+i3−1+i3−1−i3−1−i322−1−i3−1−i322−1+i3−1+i3-11−i321+i320−1+i3−1−i320−1−i32−1+i3000000000000
χ283−3+3i32−3−3i32300−3+3i32−3−3i320000003−3+3i32−3−3i32-1-11−i321−i321+i321+i32−1−i3−1−i322−1+i3−1+i3−1+i3−1+i3−1−i3−1−i322-11−i321+i320−1−i32−1+i30−1+i3−1−i32000000000000
χ293−3+3i32−3−3i32300−3+3i32−3−3i32000000-33−3i323+3i3233−3+3i32−3+3i32−3−3i32−3−3i32000000000000-33−3i323+3i3200000000000000000000
χ303−3+3i32−3−3i32300−3+3i32−3−3i32000000-33−3i323+3i32-1-11−i321−i321+i321+i3222−1+i3−1+i3−1−i3−1−i322−1+i3−1+i3−1−i3−1−i31−1+i32−1−i320-21−i31+i30-21−i31+i3000000000000
χ313−3+3i32−3−3i32300−3+3i32−3−3i32000000-33−3i323+3i32-1-11−i321−i321+i321+i32−1+i3−1+i3−1−i3−1−i322−1−i3−1−i322−1+i3−1+i31−1+i32−1−i3201−i31+i3-201+i3-21−i3000000000000
χ323−3+3i32−3−3i32300−3+3i32−3−3i32000000-33−3i323+3i32-1-11−i321−i321+i321+i32−1−i3−1−i322−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3221−1+i32−1−i3201+i3-21−i301−i31+i3-2000000000000
χ333−3−3i32−3+3i32300−3−3i32−3+3i320000003−3−3i32−3+3i3233−3−3i32−3−3i32−3+3i32−3+3i320000000000003−3−3i32−3+3i3200000000000000000000
χ343−3−3i32−3+3i32300−3−3i32−3+3i320000003−3−3i32−3+3i32-1-11+i321+i321−i321−i3222−1−i3−1−i3−1+i3−1+i322−1−i3−1−i3−1+i3−1+i3-11+i321−i3202−1−i3−1+i302−1−i3−1+i3000000000000
χ353−3−3i32−3+3i32300−3−3i32−3+3i320000003−3−3i32−3+3i32-1-11+i321+i321−i321−i32−1+i3−1+i322−1−i3−1−i3−1−i3−1−i3−1+i3−1+i322-11+i321−i320−1+i32−1−i30−1−i3−1+i32000000000000
χ363−3−3i32−3+3i32300−3−3i32−3+3i320000003−3−3i32−3+3i32-1-11+i321+i321−i321−i32−1−i3−1−i3−1+i3−1+i322−1+i3−1+i322−1−i3−1−i3-11+i321−i320−1−i3−1+i320−1+i32−1−i3000000000000
χ373−3−3i32−3+3i32300−3−3i32−3+3i32000000-33+3i323−3i3233−3−3i32−3−3i32−3+3i32−3+3i32000000000000-33+3i323−3i3200000000000000000000
χ383−3−3i32−3+3i32300−3−3i32−3+3i32000000-33+3i323−3i32-1-11+i321+i321−i321−i3222−1−i3−1−i3−1+i3−1+i322−1−i3−1−i3−1+i3−1+i31−1−i32−1+i320-21+i31−i30-21+i31−i3000000000000
χ393−3−3i32−3+3i32300−3−3i32−3+3i32000000-33+3i323−3i32-1-11+i321+i321−i321−i32−1+i3−1+i322−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3221−1−i32−1+i3201−i3-21+i301+i31−i3-2000000000000
χ403−3−3i32−3+3i32300−3−3i32−3+3i32000000-33+3i323−3i32-1-11+i321+i321−i321−i32−1−i3−1−i3−1+i3−1+i322−1+i3−1+i322−1−i3−1−i31−1−i32−1+i3201+i31−i3-201−i3-21+i3000000000000
χ41666-266-2-2-2-2-2-2-2-20002-22-22-22-22-22-22-22-22-200000000000000000000000
χ42666-266-2-2-2-2-2-2-2-2000-22-22-22-22-22-22-22-22-2200000000000000000000000
χ43666-2−3+3i3−3−3i3-2-21−i31−i31−i31+i31+i31+i30002-22-22-2−1+i31−i3−1+i31−i3−1+i31−i3−1−i31+i3−1−i31+i3−1−i31+i300000000000000000000000
χ44666-2−3+3i3−3−3i3-2-21−i31−i31−i31+i31+i31+i3000-22-22-221−i3−1+i31−i3−1+i31−i3−1+i31+i3−1−i31+i3−1−i31+i3−1−i300000000000000000000000
χ45666-2−3−3i3−3+3i3-2-21+i31+i31+i31−i31−i31−i30002-22-22-2−1−i31+i3−1−i31+i3−1−i31+i3−1+i31−i3−1+i31−i3−1+i31−i300000000000000000000000
χ46666-2−3−3i3−3+3i3-2-21+i31+i31+i31−i31−i31−i3000-22-22-221+i3−1−i31+i3−1−i31+i3−1−i31−i3−1+i31−i3−1+i31−i3−1+i300000000000000000000000
χ476−3+3i3−3−3i3-2001−i31+i34−2+2i3−2−2i34−2+2i3−2−2i30002-2−1+i31−i3−1−i31+i32-2−1+i31−i3−1−i31+i32-2−1+i31−i3−1−i31+i300000000000000000000000
χ486−3+3i3−3−3i3-2001−i31+i34−2+2i3−2−2i34−2+2i3−2−2i3000-221−i3−1+i31+i3−1−i3-221−i3−1+i31+i3−1−i3-221−i3−1+i31+i3−1−i300000000000000000000000
χ496−3+3i3−3−3i3-2001−i31+i3−2+2i3−2−2i34−2−2i34−2+2i30002-2−1+i31−i3−1−i31+i3−1+i31−i3−1−i31+i32-2−1−i31+i32-2−1+i31−i300000000000000000000000
χ506−3+3i3−3−3i3-2001−i31+i3−2+2i3−2−2i34−2−2i34−2+2i3000-221−i3−1+i31+i3−1−i31−i3−1+i31+i3−1−i3-221+i3−1−i3-221−i3−1+i300000000000000000000000
χ516−3+3i3−3−3i3-2001−i31+i3−2−2i34−2+2i3−2+2i3−2−2i340002-2−1+i31−i3−1−i31+i3−1−i31+i32-2−1+i31−i3−1+i31−i3−1−i31+i32-200000000000000000000000
χ526−3+3i3−3−3i3-2001−i31+i3−2−2i34−2+2i3−2+2i3−2−2i34000-221−i3−1+i31+i3−1−i31+i3−1−i3-221−i3−1+i31−i3−1+i31+i3−1−i3-2200000000000000000000000
χ536−3−3i3−3+3i3-2001+i31−i34−2−2i3−2+2i34−2−2i3−2+2i30002-2−1−i31+i3−1+i31−i32-2−1−i31+i3−1+i31−i32-2−1−i31+i3−1+i31−i300000000000000000000000
χ546−3−3i3−3+3i3-2001+i31−i34−2−2i3−2+2i34−2−2i3−2+2i3000-221+i3−1−i31−i3−1+i3-221+i3−1−i31−i3−1+i3-221+i3−1−i31−i3−1+i300000000000000000000000
χ556−3−3i3−3+3i3-2001+i31−i3−2+2i34−2−2i3−2−2i3−2+2i340002-2−1−i31+i3−1+i31−i3−1+i31−i32-2−1−i31+i3−1−i31+i3−1+i31−i32-200000000000000000000000
χ566−3−3i3−3+3i3-2001+i31−i3−2+2i34−2−2i3−2−2i3−2+2i34000-221+i3−1−i31−i3−1+i31−i3−1+i3-221+i3−1−i31+i3−1−i31−i3−1+i3-2200000000000000000000000
χ576−3−3i3−3+3i3-2001+i31−i3−2−2i3−2+2i34−2+2i34−2−2i30002-2−1−i31+i3−1+i31−i3−1−i31+i3−1+i31−i32-2−1+i31−i32-2−1−i31+i300000000000000000000000
χ586−3−3i3−3+3i3-2001+i31−i3−2−2i3−2+2i34−2+2i34−2−2i3000-221+i3−1−i31−i3−1+i31+i3−1−i31−i3−1+i3-221−i3−1+i3-221+i3−1−i300000000000000000000000

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