Finite Group Databasebeta

← Group #72277553

Character table — Group #72277553

Order 2916.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size1224669912121212121818181818181827273636363636363636363636363636545481818181818181162162162162162162162162162
order133339333999933999992299999999999999662666666666181818181818
χ1111111111111111111111111111111111111111111111111111111
χ2111111111111111111111-1111111111111111-1-111-1-1-1-1-1-1-1111-1-1-1
χ311111111111111111111-1111111111111111-11-1-1-111-1-1-1-1-1-1-1-1111
χ411111111111111111111-1-111111111111111-1-11-1-1-1-111111-1-1-1-1-1-1
χ5111111−1+i32−1−i3211111−1+i32−1−i321−1+i32−1+i32−1−i32−1−i32111−1+i32−1+i32−1−i32−1−i32111−1+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−i321−1+i32−1−i321−1+i32−1−i32
χ6111111−1+i32−1−i3211111−1+i32−1−i321−1+i32−1+i32−1−i32−1−i321-11−1+i32−1+i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321-1-1−1+i32−1−i321−i321+i321−i321+i32-11−i321+i321−1+i32−1−i32-11−i321+i32
χ7111111−1+i32−1−i3211111−1+i32−1−i321−1+i32−1+i32−1−i32−1−i32-111−1+i32−1+i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-11-11−i321+i32−1+i32−1−i321−i321+i32-11−i321+i32-11−i321+i321−1+i32−1−i32
χ8111111−1+i32−1−i3211111−1+i32−1−i321−1+i32−1+i32−1−i32−1−i32-1-11−1+i32−1+i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-111−i321+i321−i321+i32−1+i32−1−i321−1+i32−1−i32-11−i321+i32-11−i321+i32
χ9111111−1−i32−1+i3211111−1−i32−1+i321−1−i32−1−i32−1+i32−1+i32111−1−i32−1−i32−1+i32−1+i32111−1−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+i321−1−i32−1+i321−1−i32−1+i32
χ10111111−1−i32−1+i3211111−1−i32−1+i321−1−i32−1−i32−1+i32−1+i321-11−1−i32−1−i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321-1-1−1−i32−1+i321+i321−i321+i321−i32-11+i321−i321−1−i32−1+i32-11+i321−i32
χ11111111−1−i32−1+i3211111−1−i32−1+i321−1−i32−1−i32−1+i32−1+i32-111−1−i32−1−i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-11-11+i321−i32−1−i32−1+i321+i321−i32-11+i321−i32-11+i321−i321−1−i32−1+i32
χ12111111−1−i32−1+i3211111−1−i32−1+i321−1−i32−1−i32−1+i32−1+i32-1-11−1−i32−1−i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-111+i321−i321+i321−i32−1−i32−1+i321−1−i32−1+i32-11+i321−i32-11+i321−i32
χ13222222222222222-12-12-102-12-12-1-1-1-1-1-1-1-1-1-1020002200000000-1-1-1
χ14222222222222222-12-12-10-2-12-12-1-1-1-1-1-1-1-1-1-10-2000-2-200000000111
χ15222222−1+i3−1−i322222−1+i3−1−i3-1−1+i31−i32−1−i31+i3202-1−1+i31−i32−1−i31+i32-1-1-11−i321−i321−i321+i321+i321+i3202000−1+i3−1−i300000000-11−i321+i32
χ16222222−1+i3−1−i322222−1+i3−1−i3-1−1+i31−i32−1−i31+i320-2-1−1+i31−i32−1−i31+i32-1-1-11−i321−i321−i321+i321+i321+i320-20001−i31+i3000000001−1+i32−1−i32
χ17222222−1−i3−1+i322222−1−i3−1+i3-1−1−i31+i32−1+i31−i3202-1−1−i31+i32−1+i31−i32-1-1-11+i321+i321+i321−i321−i321−i3202000−1−i3−1+i300000000-11+i321−i32
χ18222222−1−i3−1+i322222−1−i3−1+i3-1−1−i31+i32−1+i31−i320-2-1−1−i31+i32−1+i31−i32-1-1-11+i321+i321+i321−i321−i321−i320-20001+i31−i3000000001−1−i32−1+i32
χ1922222-1222-1-1-1-1222-12-12202-12-12-1-1-1-1-1-1-1-1-1200220000000-1-1-1000
χ2022222-1222-1-1-1-1222-12-12-202-12-12-1-1-1-1-1-1-1-1-1-200-2-20000000111000
χ2122222-1−1+i3−1−i32-1-1-1-1−1+i3−1−i321−i32−1+i31+i32−1−i32021−i32−1+i31+i32−1−i3-1-1-11−i321−i321−i321+i321+i321+i32200−1+i3−1−i30000000-11−i321+i32000
χ2222222-1−1+i3−1−i32-1-1-1-1−1+i3−1−i321−i32−1+i31+i32−1−i3-2021−i32−1+i31+i32−1−i3-1-1-11−i321−i321−i321+i321+i321+i32-2001−i31+i300000001−1+i32−1−i32000
χ2322222-1−1−i3−1+i32-1-1-1-1−1−i3−1+i321+i32−1−i31−i32−1+i32021+i32−1−i31−i32−1+i3-1-1-11+i321+i321+i321−i321−i321−i32200−1−i3−1+i30000000-11+i321−i32000
χ2422222-1−1−i3−1+i32-1-1-1-1−1−i3−1+i321+i32−1−i31−i32−1+i3-2021+i32−1−i31−i32−1+i3-1-1-11+i321+i321+i321−i321−i321−i32-2001+i31−i300000001−1−i32−1+i32000
χ252222-1222-12-1-1-1-1-12222200-1-1-1-1-12-1-12-1-12-1-1002000022-1-1-1000000
χ262222-1222-12-1-1-1-1-12222200-1-1-1-1-12-1-12-1-12-1-100-20000-2-2111000000
χ272222-12−1+i3−1−i3-12-1-1-11−i321+i322−1+i3−1+i3−1−i3−1−i300-11−i321−i321+i321+i322-1-1−1+i31−i321−i32−1−i31+i321+i320020000−1+i3−1−i3-11−i321+i32000000
χ282222-12−1+i3−1−i3-12-1-1-11−i321+i322−1+i3−1+i3−1−i3−1−i300-11−i321−i321+i321+i322-1-1−1+i31−i321−i32−1−i31+i321+i3200-200001−i31+i31−1+i32−1−i32000000
χ292222-12−1−i3−1+i3-12-1-1-11+i321−i322−1−i3−1−i3−1+i3−1+i300-11+i321+i321−i321−i322-1-1−1−i31+i321+i32−1+i31−i321−i320020000−1−i3−1+i3-11+i321−i32000000
χ302222-12−1−i3−1+i3-12-1-1-11+i321−i322−1−i3−1−i3−1+i3−1+i300-11+i321+i321−i321−i322-1-1−1−i31+i321+i32−1+i31−i321−i3200-200001+i31−i31−1−i32−1+i32000000
χ3144444-2444-2-2-2-244-2-2-2-2-200-2-2-2-2-2111111111000000000000000000
χ3244444-2−2+2i3−2−2i34-2-2-2-2−2+2i3−2−2i3-21−i31−i31+i31+i300-21−i31−i31+i31+i3111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32000000000000000000
χ3344444-2−2−2i3−2+2i34-2-2-2-2−2−2i3−2+2i3-21+i31+i31−i31−i300-21+i31+i31−i31−i3111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32000000000000000000
χ344444-2444-24-2-2-2-2-2-24-24-2001-21-21-211-211-211000000000000000000
χ354444-24−2+2i3−2−2i3-24-2-2-21−i31+i3-2−2+2i31−i3−2−2i31+i30011−i3−1+i321+i3−1−i32-2111−i3−1+i32−1+i321+i3−1−i32−1−i32000000000000000000
χ364444-24−2−2i3−2+2i3-24-2-2-21+i31−i3-2−2−2i31+i3−2+2i31−i30011+i3−1−i321−i3−1+i32-2111+i3−1−i32−1−i321−i3−1+i32−1+i32000000000000000000
χ374444-2-244-2-2111-2-24-24-2400-21-21-2-211-211-211000000000000000000
χ384444-2-244-2-2111-2-2-2-2-2-2-200111111−1+3i32−1−3i321−1+3i32−1−3i321−1+3i32−1−3i32000000000000000000
χ394444-2-244-2-2111-2-2-2-2-2-2-200111111−1−3i32−1+3i321−1−3i32−1+3i321−1−3i32−1+3i32000000000000000000
χ404444-2-2−2+2i3−2−2i3-2-21111−i31+i341−i3−2+2i31+i3−2−2i300-2−1+i321−i3−1−i321+i3-2111−i3−1+i32−1+i321+i3−1−i32−1−i32000000000000000000
χ414444-2-2−2+2i3−2−2i3-2-21111−i31+i3-21−i31−i31+i31+i3001−1+i32−1+i32−1−i32−1−i321−1+3i32−1−3i32−1+i32−2−i35+i32−1−i325−i32−2+i3000000000000000000
χ424444-2-2−2+2i3−2−2i3-2-21111−i31+i3-21−i31−i31+i31+i3001−1+i32−1+i32−1−i32−1−i321−1−3i32−1+3i32−1+i325+i32−2−i3−1−i32−2+i35−i32000000000000000000
χ434444-2-2−2−2i3−2+2i3-2-21111+i31−i341+i3−2−2i31−i3−2+2i300-2−1−i321+i3−1+i321−i3-2111+i3−1−i32−1−i321−i3−1+i32−1+i32000000000000000000
χ444444-2-2−2−2i3−2+2i3-2-21111+i31−i3-21+i31+i31−i31−i3001−1−i32−1−i32−1+i32−1+i321−1+3i32−1−3i32−1−i325−i32−2+i3−1+i32−2−i35+i32000000000000000000
χ454444-2-2−2−2i3−2+2i3-2-21111+i31−i3-21+i31+i31−i31−i3001−1−i32−1−i32−1+i32−1+i321−1−3i32−1+3i32−1−i32−2+i35−i32−1+i325+i32−2−i3000000000000000000
χ4666-3-36600-3-36-3-3000000006000000000000000-30000000000000000
χ4766-3-36600-3-36-3-300000000-600000000000000030000000000000000
χ481212-6-612-600-63-63300000000000000000000000000000000000000000
χ491212-6-6-612003-6-63300000000000000000000000000000000000000000
χ501212-6-6-6-600333−3+9i32−3−9i3200000000000000000000000000000000000000000
χ511212-6-6-6-600333−3−9i32−3+9i3200000000000000000000000000000000000000000
χ5218-918-900000000000000006000000000000000-300000000000000000
χ5318-918-90000000000000000-6000000000000000300000000000000000
χ5436-18-18900000000000000000000000000000000000000000000000000

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