Finite Group Databasebeta

← Group #14518192

Character table — Group #14518192

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size123336666666991818181818181818181818181818272727363636363636727272727272818181108108108108108108
order1323333366666633366666666666266333333999999266666666
χ11111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111−1+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
χ31111111111111111111111111111111−1−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
χ41111111111111111111111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1
χ51111111111111111111111111111-1-1-1−1+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+i32
χ61111111111111111111111111111-1-1-1−1−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−i32
χ7111−1+i32−1−i321−1+i32−1−i321111−1+i32−1−i321−1+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−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ8111−1+i32−1−i321−1+i32−1−i321111−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i321−1+i321−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32
χ9111−1+i32−1−i321−1+i32−1−i321111−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i3211−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321
χ10111−1+i32−1−i321−1+i32−1−i321111−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-11−i321+i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-11−i321+i32-11−i321+i32-11−i321+i32
χ11111−1+i32−1−i321−1+i32−1−i321111−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-11−i321+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32-11−i321+i321−i321+i32-11+i32-11−i32
χ12111−1+i32−1−i321−1+i32−1−i321111−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-11−i321+i32−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321-11−i321+i321+i32-11−i321−i321+i32-1
χ13111−1−i32−1+i321−1−i32−1+i321111−1−i32−1+i321−1−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+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ14111−1−i32−1+i321−1−i32−1+i321111−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i3211−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321
χ15111−1−i32−1+i321−1−i32−1+i321111−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i321−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32
χ16111−1−i32−1+i321−1−i32−1+i321111−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-11+i321−i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-11+i321−i32-11+i321−i32-11+i321−i32
χ17111−1−i32−1+i321−1−i32−1+i321111−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-11+i321−i32−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321-11+i321−i321−i32-11+i321+i321−i32-1
χ18111−1−i32−1+i321−1−i32−1+i321111−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-11+i321−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32-11+i321−i321+i321−i32-11−i32-11+i32
χ1922222222222222-1-1-122-1-1-1-1-1-1-1-1-1000222222-1-1-1-1-1-1000000000
χ2022222222222222-1-1-122-1-1-1-1-1-1-1-1-1000−1+i3−1+i3−1+i3−1−i3−1−i3−1−i31−i321−i321−i321+i321+i321+i32000000000
χ2122222222222222-1-1-122-1-1-1-1-1-1-1-1-1000−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31+i321+i321+i321−i321−i321−i32000000000
χ22222−1+i3−1−i32−1+i3−1−i32222−1+i3−1−i3-11−i321+i32−1+i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i320002−1+i3−1−i32−1+i3−1−i3-11−i321+i32-11−i321+i32000000000
χ23222−1+i3−1−i32−1+i3−1−i32222−1+i3−1−i3-11−i321+i32−1+i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32000−1+i3−1−i32−1−i32−1+i31−i321+i32-11+i32-11−i32000000000
χ24222−1+i3−1−i32−1+i3−1−i32222−1+i3−1−i3-11−i321+i32−1+i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32000−1−i32−1+i3−1+i3−1−i321+i32-11−i321−i321+i32-1000000000
χ25222−1−i3−1+i32−1−i3−1+i32222−1−i3−1+i3-11+i321−i32−1−i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i320002−1−i3−1+i32−1−i3−1+i3-11+i321−i32-11+i321−i32000000000
χ26222−1−i3−1+i32−1−i3−1+i32222−1−i3−1+i3-11+i321−i32−1−i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32000−1+i32−1−i3−1−i3−1+i321−i32-11+i321+i321−i32-1000000000
χ27222−1−i3−1+i32−1−i3−1+i32222−1−i3−1+i3-11+i321−i32−1−i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32000−1−i3−1+i32−1+i32−1−i31+i321−i32-11−i32-11+i32000000000
χ2833-133333-1-1-1-1-1-1333-1-1-1-1-1-1-1-1-1-1-1333000000000000-1-1-1000000
χ2933-133333-1-1-1-1-1-1333-1-1-1-1-1-1-1-1-1-1-1-3-3-3000000000000111000000
χ3033-1−3+3i32−3−3i323−3+3i32−3−3i32-1-1-1-11−i321+i323−3+3i32−3−3i321−i321+i32-1-1-11−i321−i321−i321+i321+i321+i323−3+3i32−3−3i32000000000000-11−i321+i32000000
χ3133-1−3+3i32−3−3i323−3+3i32−3−3i32-1-1-1-11−i321+i323−3+3i32−3−3i321−i321+i32-1-1-11−i321−i321−i321+i321+i321+i32-33−3i323+3i320000000000001−1+i32−1−i32000000
χ3233-1−3−3i32−3+3i323−3−3i32−3+3i32-1-1-1-11+i321−i323−3−3i32−3+3i321+i321−i32-1-1-11+i321+i321+i321−i321−i321−i323−3−3i32−3+3i32000000000000-11+i321−i32000000
χ3333-1−3−3i32−3+3i323−3−3i32−3+3i32-1-1-1-11+i321−i323−3−3i32−3+3i321+i321−i32-1-1-11+i321+i321+i321−i321−i321−i32-33+3i323−3i320000000000001−1−i32−1+i32000000
χ3466666-3-3-36-3-3-366000-3-3000000000000000000000000000000000
χ35666−3+3i3−3−3i3-33−3i323+3i326-3-3-3−3+3i3−3−3i30003−3i323+3i32000000000000000000000000000000000
χ36666−3−3i3−3+3i3-33+3i323−3i326-3-3-3−3−3i3−3+3i30003+3i323−3i32000000000000000000000000000000000
χ3766-266666-2-2-2-2-2-2-3-3-3-2-2111111111000000000000000000000000
χ3866-266-3-3-3-2111-2-2000114-2-24-2-24-2-2000000000000000000000000
χ3966-266-3-3-3-2111-2-200011-24-2-24-2-24-2000000000000000000000000
χ4066-266-3-3-3-2111-2-200011-2-24-2-24-2-24000000000000000000000000
χ4166-2−3+3i3−3−3i36−3+3i3−3−3i3-2-2-2-21−i31+i3-33−3i323+3i321−i31+i3111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32000000000000000000000000
χ4266-2−3+3i3−3−3i3-33−3i323+3i32-21111−i31+i3000−1+i32−1−i324-2-2−2+2i31−i31−i3−2−2i31+i31+i3000000000000000000000000
χ4366-2−3+3i3−3−3i3-33−3i323+3i32-21111−i31+i3000−1+i32−1−i32-24-21−i3−2+2i31−i31+i3−2−2i31+i3000000000000000000000000
χ4466-2−3+3i3−3−3i3-33−3i323+3i32-21111−i31+i3000−1+i32−1−i32-2-241−i31−i3−2+2i31+i31+i3−2−2i3000000000000000000000000
χ4566-2−3−3i3−3+3i36−3−3i3−3+3i3-2-2-2-21+i31−i3-33+3i323−3i321+i31−i3111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32000000000000000000000000
χ4666-2−3−3i3−3+3i3-33+3i323−3i32-21111+i31−i3000−1−i32−1+i324-2-2−2−2i31+i31+i3−2+2i31−i31−i3000000000000000000000000
χ4766-2−3−3i3−3+3i3-33+3i323−3i32-21111+i31−i3000−1−i32−1+i32-24-21+i3−2−2i31+i31−i3−2+2i31−i3000000000000000000000000
χ4866-2−3−3i3−3+3i3-33+3i323−3i32-21111+i31−i3000−1−i32−1+i32-2-241+i31+i3−2−2i31−i31−i3−2+2i3000000000000000000000000
χ4918-91800000-90000000000000000000000000000000000000000000
χ5018-9-600000312-6-60000000000000000000000000000000000000000
χ5118-9-6000003-612-60000000000000000000000000000000000000000
χ5218-9-6000003-6-6120000000000000000000000000000000000000000

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