Finite Group Databasebeta

← Group #3813

Character table — Group #3813

Order 144.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42
size114444611444461144446114444611444461144446
order1233664363366123633661222666646666661266666612
χ1111111111111111111111111111111111111111111
χ211−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321
χ311−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i321
χ42-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-1110
χ52-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i320
χ62-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i320
χ7330000-1330000-1330000-1330000-1330000-1330000-1
χ81111111−1+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−i321111111−1+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
χ911−1+i32−1−i32−1+i32−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1−i32−1−i321−1+i321−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1−i32−1−i321−1+i321−1+i32−1−i32
χ1011−1−i32−1+i32−1−i32−1+i321−1+i32−1+i321−1−i321−1−i32−1+i32−1−i32−1−i32−1+i321−1+i321−1−i3211−1−i32−1+i32−1−i32−1+i321−1+i32−1+i321−1−i321−1−i32−1+i32−1−i32−1−i32−1+i321−1+i321−1−i32
χ112-2-1-1110−1+i31−i31−i321−i32−1+i32−1+i320−1−i31+i31+i321+i32−1−i32−1−i3202-2-1-1110−1+i31−i31−i321−i32−1+i32−1+i320−1−i31+i31+i321+i32−1−i32−1−i320
χ122-21−i321+i32−1+i32−1−i320−1+i31−i31+i32-1−1−i3210−1−i31+i3-11−i321−1+i3202-21−i321+i32−1+i32−1−i320−1+i31−i31+i32-1−1−i3210−1−i31+i3-11−i321−1+i320
χ132-21+i321−i32−1−i32−1+i320−1+i31−i3-11+i321−1−i320−1−i31+i31−i32-1−1+i32102-21+i321−i32−1−i32−1+i320−1+i31−i3-11+i321−1−i320−1−i31+i31−i32-1−1+i3210
χ14330000-1−3+3i32−3+3i3200001−i32−3−3i32−3−3i3200001+i32330000-1−3+3i32−3+3i3200001−i32−3−3i32−3−3i3200001+i32
χ151111111−1−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+i321111111−1−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
χ1611−1+i32−1−i32−1+i32−1−i321−1−i32−1−i321−1+i321−1+i32−1−i32−1+i32−1+i32−1−i321−1−i321−1+i3211−1+i32−1−i32−1+i32−1−i321−1−i32−1−i321−1+i321−1+i32−1−i32−1+i32−1+i32−1−i321−1−i321−1+i32
χ1711−1−i32−1+i32−1−i32−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1+i32−1+i321−1−i321−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1+i32−1+i321−1−i321−1−i32−1+i32
χ182-2-1-1110−1−i31+i31+i321+i32−1−i32−1−i320−1+i31−i31−i321−i32−1+i32−1+i3202-2-1-1110−1−i31+i31+i321+i32−1−i32−1−i320−1+i31−i31−i321−i32−1+i32−1+i320
χ192-21−i321+i32−1+i32−1−i320−1−i31+i3-11−i321−1+i320−1+i31−i31+i32-1−1−i32102-21−i321+i32−1+i32−1−i320−1−i31+i3-11−i321−1+i320−1+i31−i31+i32-1−1−i3210
χ202-21+i321−i32−1−i32−1+i320−1−i31+i31−i32-1−1+i3210−1+i31−i3-11+i321−1−i3202-21+i321−i32−1−i32−1+i320−1−i31+i31−i32-1−1+i3210−1+i31−i3-11+i321−1−i320
χ21330000-1−3−3i32−3−3i3200001+i32−3+3i32−3+3i3200001−i32330000-1−3−3i32−3−3i3200001+i32−3+3i32−3+3i3200001−i32
χ22111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2311−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1
χ2411−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1
χ252-2-1-11102-2-1-11102-2-1-1110-2211-1-10-2211-1-10-2211-1-10
χ262-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i320-22−1+i32−1−i321−i321+i320-22−1+i32−1−i321−i321+i320-22−1+i32−1−i321−i321+i320
χ272-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i320-22−1−i32−1+i321+i321−i320-22−1−i32−1+i321+i321−i320-22−1−i32−1+i321+i321−i320
χ28330000-1330000-1330000-1-3-300001-3-300001-3-300001
χ291111111−1+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−i32-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i32
χ3011−1+i32−1−i32−1+i32−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1−i32−1−i321−1+i321−1+i32−1−i32-1-11−i321+i321−i321+i32-11−i321−i321+i32-11+i32-11−i321+i321+i32-11−i32-11−i321+i32
χ3111−1−i32−1+i32−1−i32−1+i321−1+i32−1+i321−1−i321−1−i32−1+i32−1−i32−1−i32−1+i321−1+i321−1−i32-1-11+i321−i321+i321−i32-11−i321−i32-11+i32-11+i321−i321+i321+i321−i32-11−i32-11+i32
χ322-2-1-1110−1+i31−i31−i321−i32−1+i32−1+i320−1−i31+i31+i321+i32−1−i32−1−i320-2211-1-101−i3−1+i3−1+i32−1+i321−i321−i3201+i3−1−i3−1−i32−1−i321+i321+i320
χ332-21−i321+i32−1+i32−1−i320−1+i31−i31+i32-1−1−i3210−1−i31+i3-11−i321−1+i320-22−1+i32−1−i321−i321+i3201−i3−1+i3−1−i3211+i32-101+i3−1−i31−1+i32-11−i320
χ342-21+i321−i32−1−i32−1+i320−1+i31−i3-11+i321−1−i320−1−i31+i31−i32-1−1+i3210-22−1−i32−1+i321+i321−i3201−i3−1+i31−1−i32-11+i3201+i3−1−i3−1+i3211−i32-10
χ35330000-1−3+3i32−3+3i3200001−i32−3−3i32−3−3i3200001+i32-3-3000013−3i323−3i320000−1+i323+3i323+3i320000−1−i32
χ361111111−1−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+i32-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i32
χ3711−1+i32−1−i32−1+i32−1−i321−1−i32−1−i321−1+i321−1+i32−1−i32−1+i32−1+i32−1−i321−1−i321−1+i32-1-11−i321+i321−i321+i32-11+i321+i32-11−i32-11−i321+i321−i321−i321+i32-11+i32-11−i32
χ3811−1−i32−1+i32−1−i32−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1+i32−1+i321−1−i321−1−i32−1+i32-1-11+i321−i321+i321−i32-11+i321+i321−i32-11−i32-11+i321−i321−i32-11+i32-11+i321−i32
χ392-2-1-1110−1−i31+i31+i321+i32−1−i32−1−i320−1+i31−i31−i321−i32−1+i32−1+i320-2211-1-101+i3−1−i3−1−i32−1−i321+i321+i3201−i3−1+i3−1+i32−1+i321−i321−i320
χ402-21−i321+i32−1+i32−1−i320−1−i31+i3-11−i321−1+i320−1+i31−i31+i32-1−1−i3210-22−1+i32−1−i321−i321+i3201+i3−1−i31−1+i32-11−i3201−i3−1+i3−1−i3211+i32-10
χ412-21+i321−i32−1−i32−1+i320−1−i31+i31−i32-1−1+i3210−1+i31−i3-11+i321−1−i320-22−1−i32−1+i321+i321−i3201+i3−1−i3−1+i3211−i32-101−i3−1+i31−1−i32-11+i320
χ42330000-1−3−3i32−3−3i3200001+i32−3+3i32−3+3i3200001−i32-3-3000013+3i323+3i320000−1−i323−3i323−3i320000−1+i32

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