Finite Group Databasebeta

← Group #72259920

Character table — Group #72259920

Order 2016.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11666777788121214141436363642424242424848565656565656565656567284848484848484848484
order1247143366364826628565641212121221423366666666282668121224242424
χ111111111111111111111111111111111111111111111111
χ21111111111111-1-1-1111-1-1-1111111-1-111-1-1-1-11-1-1-1-11111-1-1
χ311111111111-1-11111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1
χ411111111111-1-1-1-1-11-1-1-1-1-1111111-1-111-1-1-1-1-11111-1-1-1-111
χ511111−1−i32−1+i32−1−i32−1+i3211111−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32
χ611111−1−i32−1+i32−1−i32−1+i321111-11+i321−i32111-11+i321−i32−1−i32−1+i3211−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i321-11+i321−i32-1−1−i32−1+i32−1−i32−1+i321+i321−i32
χ711111−1−i32−1+i32−1−i32−1+i3211-1-11−1−i32−1+i321-1-11−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-11+i321−i32-11+i321−i321+i321−i321+i321−i32
χ811111−1−i32−1+i32−1−i32−1+i3211-1-1-11+i321−i321-1-1-11+i321−i32−1−i32−1+i3211−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32-11−1−i32−1+i3211+i321−i321+i321−i32−1−i32−1+i32
χ911111−1+i32−1−i32−1+i32−1−i3211111−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32
χ1011111−1+i32−1−i32−1+i32−1−i321111-11−i321+i32111-11−i321+i32−1+i32−1−i3211−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i321-11−i321+i32-1−1+i32−1−i32−1+i32−1−i321−i321+i32
χ1111111−1+i32−1−i32−1+i32−1−i3211-1-11−1+i32−1−i321-1-11−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-11−i321+i32-11−i321+i321−i321+i321−i321+i32
χ1211111−1+i32−1−i32−1+i32−1−i3211-1-1-11−i321+i321-1-1-11−i321+i32−1+i32−1−i3211−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i32-11−1+i32−1−i3211−i321+i321−i321+i32−1+i32−1−i32
χ13222222222-1-10022220022222-1-1-1-1-1-1-1-1-1-1-1-100000000000
χ14222222222-1-100-2-2-2200-2-2-222-1-1-1-111-1-1111100000000000
χ1522222−1−i3−1+i3−1−i3−1+i3-1-1002−1−i3−1+i32002−1−i3−1+i3−1−i3−1+i3-1-11+i321−i32-1-11+i321−i321+i321+i321−i321−i3200000000000
χ1622222−1−i3−1+i3−1−i3−1+i3-1-100-21+i31−i3200-21+i31−i3−1−i3−1+i3-1-11+i321−i32111+i321−i32−1−i32−1−i32−1+i32−1+i3200000000000
χ1722222−1+i3−1−i3−1+i3−1−i3-1-1002−1+i3−1−i32002−1+i3−1−i3−1+i3−1−i3-1-11−i321+i32-1-11−i321+i321−i321−i321+i321+i3200000000000
χ1822222−1+i3−1−i3−1+i3−1−i3-1-100-21−i31+i3200-21−i31+i3−1+i3−1−i3-1-11−i321+i32111−i321+i32−1+i32−1+i32−1−i32−1−i3200000000000
χ1933-1333333001-1333-1-1-1-1-1-1-1-10000000000001111-111-1-1-1-1
χ2033-1333333001-1-3-3-3-1-1-1111-1-10000000000001-1-1-1111-1-111
χ2133-133333300-11333-111-1-1-1-1-1000000000000-1-1-1-11-1-11111
χ2233-133333300-11-3-3-3-111111-1-1000000000000-1111-1-1-111-1-1
χ2333-133−3−3i32−3+3i32−3−3i32−3+3i32001-13−3−3i32−3+3i32-1-1-1-11+i321−i321+i321−i3200000000000011−1−i32−1+i32-1−1−i32−1+i321+i321−i321+i321−i32
χ2433-133−3−3i32−3+3i32−3−3i32−3+3i32001-1-33+3i323−3i32-1-1-11−1−i32−1+i321+i321−i320000000000001-11+i321−i321−1−i32−1+i321+i321−i32−1−i32−1+i32
χ2533-133−3−3i32−3+3i32−3−3i32−3+3i3200-113−3−3i32−3+3i32-111-11+i321−i321+i321−i32000000000000-1-11+i321−i3211+i321−i32−1−i32−1+i32−1−i32−1+i32
χ2633-133−3−3i32−3+3i32−3−3i32−3+3i3200-11-33+3i323−3i32-1111−1−i32−1+i321+i321−i32000000000000-11−1−i32−1+i32-11+i321−i32−1−i32−1+i321+i321−i32
χ2733-133−3+3i32−3−3i32−3+3i32−3−3i32001-13−3+3i32−3−3i32-1-1-1-11−i321+i321−i321+i3200000000000011−1+i32−1−i32-1−1+i32−1−i321−i321+i321−i321+i32
χ2833-133−3+3i32−3−3i32−3+3i32−3−3i32001-1-33−3i323+3i32-1-1-11−1+i32−1−i321−i321+i320000000000001-11−i321+i321−1+i32−1−i321−i321+i32−1+i32−1−i32
χ2933-133−3+3i32−3−3i32−3+3i32−3−3i3200-113−3+3i32−3−3i32-111-11−i321+i321−i321+i32000000000000-1-11−i321+i3211−i321+i32−1+i32−1−i32−1+i32−1−i32
χ3033-133−3+3i32−3−3i32−3+3i32−3−3i3200-11-33−3i323+3i32-1111−1+i32−1−i321−i321+i32000000000000-11−1+i32−1−i32-11−i321+i32−1+i32−1−i321−i321+i32
χ314-404-444-4-41-100000000000001-111−i3i3-1-1−i3i3−i3i300000000000
χ324-404-444-4-41-100000000000001-111i3−i3-1-1i3−i3i3−i300000000000
χ334-404-444-4-4-220000000000000-22-2-20022000000000000000
χ344-404-4−2−2i3−2+2i32+2i32−2i31-100000000000001-1−1−i32−1+i32−i3i31+i321−i32−3+i323−i323+i32−3−i3200000000000
χ354-404-4−2−2i3−2+2i32+2i32−2i31-100000000000001-1−1−i32−1+i32i3−i31+i321−i323−i32−3+i32−3−i323+i3200000000000
χ364-404-4−2−2i3−2+2i32+2i32−2i3-220000000000000-221+i31−i300−1−i3−1+i3000000000000000
χ374-404-4−2+2i3−2−2i32−2i32+2i31-100000000000001-1−1+i32−1−i32−i3i31−i321+i323+i32−3−i32−3+i323−i3200000000000
χ384-404-4−2+2i3−2−2i32−2i32+2i31-100000000000001-1−1+i32−1−i32i3−i31−i321+i32−3−i323+i323−i32−3+i3200000000000
χ394-404-4−2+2i3−2−2i32−2i32+2i3-220000000000000-221−i31+i300−1+i3−1−i3000000000000000
χ40666-1-100006666000-1-1-100000-1-10000000000-10000000000
χ41666-1-1000066-6-6000-11100000-1-1000000000010000000000
χ42121212-2-20000-6-600000-2000000011000000000000000000000
χ4312-120-220000-66000000i14−i14000001-1000000000000000000000
χ4412-120-220000-66000000−i14i14000001-1000000000000000000000
χ451818-6-3-30000006-600011100000000000000000-10000000000
χ461818-6-3-3000000-660001-1-10000000000000000010000000000
χ4724-240-4400006-60000000000000-11000000000000000000000

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