Finite Group Databasebeta

← Group #10620031

Character table — Group #10620031

Order 648.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size111999181818181818181818241119991818181818181818182411199918181818181818181824
order133266444121212121212333366612121212121212121233336661212121212121212123
χ1111111111111111111111111111111111111111111111111
χ21111111-1-111-1-1-1-111111111-1-111-1-1-1-111111111-1-111-1-1-1-11
χ3111111-11-1-1-111-1-11111111-11-1-1-111-1-11111111-11-1-1-111-1-11
χ4111111-1-11-1-1-1-1111111111-1-11-1-1-1-1111111111-1-11-1-1-1-1111
χ5222-2-2-20000000002222-2-2-20000000002222-2-2-20000000002
χ63−3+3i32−3−3i32-11−i321+i32111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3203−3+3i32−3−3i32-11−i321+i32111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3203−3+3i32−3−3i32-11−i321+i32111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i320
χ73−3+3i32−3−3i32-11−i321+i321-1-1−1+i32−1−i321−i321+i321−i321+i3203−3+3i32−3−3i32-11−i321+i321-1-1−1+i32−1−i321−i321+i321−i321+i3203−3+3i32−3−3i32-11−i321+i321-1-1−1+i32−1−i321−i321+i321−i321+i320
χ83−3+3i32−3−3i32-11−i321+i32-11-11−i321+i32−1+i32−1−i321−i321+i3203−3+3i32−3−3i32-11−i321+i32-11-11−i321+i32−1+i32−1−i321−i321+i3203−3+3i32−3−3i32-11−i321+i32-11-11−i321+i32−1+i32−1−i321−i321+i320
χ93−3+3i32−3−3i32-11−i321+i32-1-111−i321+i321−i321+i32−1+i32−1−i3203−3+3i32−3−3i32-11−i321+i32-1-111−i321+i321−i321+i32−1+i32−1−i3203−3+3i32−3−3i32-11−i321+i32-1-111−i321+i321−i321+i32−1+i32−1−i320
χ103−3−3i32−3+3i32-11+i321−i32111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3203−3−3i32−3+3i32-11+i321−i32111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3203−3−3i32−3+3i32-11+i321−i32111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i320
χ113−3−3i32−3+3i32-11+i321−i321-1-1−1−i32−1+i321+i321−i321+i321−i3203−3−3i32−3+3i32-11+i321−i321-1-1−1−i32−1+i321+i321−i321+i321−i3203−3−3i32−3+3i32-11+i321−i321-1-1−1−i32−1+i321+i321−i321+i321−i320
χ123−3−3i32−3+3i32-11+i321−i32-11-11+i321−i32−1−i32−1+i321+i321−i3203−3−3i32−3+3i32-11+i321−i32-11-11+i321−i32−1−i32−1+i321+i321−i3203−3−3i32−3+3i32-11+i321−i32-11-11+i321−i32−1−i32−1+i321+i321−i320
χ133−3−3i32−3+3i32-11+i321−i32-1-111+i321−i321+i321−i32−1−i32−1+i3203−3−3i32−3+3i32-11+i321−i32-1-111+i321−i321+i321−i32−1−i32−1+i3203−3−3i32−3+3i32-11+i321−i32-1-111+i321−i321+i321−i32−1−i32−1+i320
χ146−3+3i3−3−3i32−1+i3−1−i300000000006−3+3i3−3−3i32−1+i3−1−i300000000006−3+3i3−3−3i32−1+i3−1−i30000000000
χ156−3−3i3−3+3i32−1−i3−1+i300000000006−3−3i3−3+3i32−1−i3−1+i300000000006−3−3i3−3+3i32−1−i3−1+i30000000000
χ16888000000000000-1888000000000000-1888000000000000-1
χ171111111111111111−1+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+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−i32−1−i32−1−i32−1−i32
χ181111111-1-111-1-1-1-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32
χ19111111-11-1-1-111-1-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32
χ20111111-1-11-1-1-1-1111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32
χ21222-2-2-20000000002−1+i3−1+i3−1+i31−i31−i31−i3000000000−1+i3−1−i3−1−i3−1−i31+i31+i31+i3000000000−1−i3
χ223−3+3i32−3−3i32-11−i321+i32111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i320−3+3i32−3−3i3231−i321+i32-1−1+i32−1+i32−1+i32−1−i321−1−i321−1−i3210−3−3i323−3+3i321+i32-11−i32−1−i32−1−i32−1−i321−1+i321−1+i321−1+i320
χ233−3+3i32−3−3i32-11−i321+i321-1-1−1+i32−1−i321−i321+i321−i321+i320−3+3i32−3−3i3231−i321+i32-1−1+i321−i321−i32−1−i3211+i32-11+i32-10−3−3i323−3+3i321+i32-11−i32−1−i321+i321+i321−1+i32-11−i32-11−i320
χ243−3+3i32−3−3i32-11−i321+i32-11-11−i321+i32−1+i32−1−i321−i321+i320−3+3i32−3−3i3231−i321+i32-11−i32−1+i321−i321+i32-1−1−i3211+i32-10−3−3i323−3+3i321+i32-11−i321+i32−1−i321+i32-11−i321−1+i32-11−i320
χ253−3+3i32−3−3i32-11−i321+i32-1-111−i321+i321−i321+i32−1+i32−1−i320−3+3i32−3−3i3231−i321+i32-11−i321−i32−1+i321+i32-11+i32-1−1−i3210−3−3i323−3+3i321+i32-11−i321+i321+i32−1−i32-11−i32-11−i321−1+i320
χ263−3−3i32−3+3i32-11+i321−i32111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i320−3+3i323−3−3i321−i32-11+i32−1+i32−1+i32−1+i321−1−i321−1−i321−1−i320−3−3i32−3+3i3231+i321−i32-1−1−i32−1−i32−1−i32−1+i321−1+i321−1+i3210
χ273−3−3i32−3+3i32-11+i321−i321-1-1−1−i32−1+i321+i321−i321+i321−i320−3+3i323−3−3i321−i32-11+i32−1+i321−i321−i321−1−i32-11+i32-11+i320−3−3i32−3+3i3231+i321−i32-1−1−i321+i321+i32−1+i3211−i32-11−i32-10
χ283−3−3i32−3+3i32-11+i321−i32-11-11+i321−i32−1−i32−1+i321+i321−i320−3+3i323−3−3i321−i32-11+i321−i32−1+i321−i32-11+i321−1−i32-11+i320−3−3i32−3+3i3231+i321−i32-11+i32−1−i321+i321−i32-1−1+i3211−i32-10
χ293−3−3i32−3+3i32-11+i321−i32-1-111+i321−i321+i321−i32−1−i32−1+i320−3+3i323−3−3i321−i32-11+i321−i321−i32−1+i32-11+i32-11+i321−1−i320−3−3i32−3+3i3231+i321−i32-11+i321+i32−1−i321−i32-11−i32-1−1+i3210
χ306−3+3i3−3−3i32−1+i3−1−i30000000000−3+3i3−3−3i36−1+i3−1−i320000000000−3−3i36−3+3i3−1−i32−1+i30000000000
χ316−3−3i3−3+3i32−1−i3−1+i30000000000−3+3i36−3−3i3−1+i32−1−i30000000000−3−3i3−3+3i36−1−i3−1+i320000000000
χ32888000000000000-1−4+4i3−4+4i3−4+4i30000000000001−i32−4−4i3−4−4i3−4−4i30000000000001+i32
χ331111111111111111−1−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−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+i32−1+i32−1+i32−1+i32
χ341111111-1-111-1-1-1-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32
χ35111111-11-1-1-111-1-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32
χ36111111-1-11-1-1-1-1111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32
χ37222-2-2-20000000002−1−i3−1−i3−1−i31+i31+i31+i3000000000−1−i3−1+i3−1+i3−1+i31−i31−i31−i3000000000−1+i3
χ383−3+3i32−3−3i32-11−i321+i32111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i320−3−3i323−3+3i321+i32-11−i32−1−i32−1−i32−1−i321−1+i321−1+i321−1+i320−3+3i32−3−3i3231−i321+i32-1−1+i32−1+i32−1+i32−1−i321−1−i321−1−i3210
χ393−3+3i32−3−3i32-11−i321+i321-1-1−1+i32−1−i321−i321+i321−i321+i320−3−3i323−3+3i321+i32-11−i32−1−i321+i321+i321−1+i32-11−i32-11−i320−3+3i32−3−3i3231−i321+i32-1−1+i321−i321−i32−1−i3211+i32-11+i32-10
χ403−3+3i32−3−3i32-11−i321+i32-11-11−i321+i32−1+i32−1−i321−i321+i320−3−3i323−3+3i321+i32-11−i321+i32−1−i321+i32-11−i321−1+i32-11−i320−3+3i32−3−3i3231−i321+i32-11−i32−1+i321−i321+i32-1−1−i3211+i32-10
χ413−3+3i32−3−3i32-11−i321+i32-1-111−i321+i321−i321+i32−1+i32−1−i320−3−3i323−3+3i321+i32-11−i321+i321+i32−1−i32-11−i32-11−i321−1+i320−3+3i32−3−3i3231−i321+i32-11−i321−i32−1+i321+i32-11+i32-1−1−i3210
χ423−3−3i32−3+3i32-11+i321−i32111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i320−3−3i32−3+3i3231+i321−i32-1−1−i32−1−i32−1−i32−1+i321−1+i321−1+i3210−3+3i323−3−3i321−i32-11+i32−1+i32−1+i32−1+i321−1−i321−1−i321−1−i320
χ433−3−3i32−3+3i32-11+i321−i321-1-1−1−i32−1+i321+i321−i321+i321−i320−3−3i32−3+3i3231+i321−i32-1−1−i321+i321+i32−1+i3211−i32-11−i32-10−3+3i323−3−3i321−i32-11+i32−1+i321−i321−i321−1−i32-11+i32-11+i320
χ443−3−3i32−3+3i32-11+i321−i32-11-11+i321−i32−1−i32−1+i321+i321−i320−3−3i32−3+3i3231+i321−i32-11+i32−1−i321+i321−i32-1−1+i3211−i32-10−3+3i323−3−3i321−i32-11+i321−i32−1+i321−i32-11+i321−1−i32-11+i320
χ453−3−3i32−3+3i32-11+i321−i32-1-111+i321−i321+i321−i32−1−i32−1+i320−3−3i32−3+3i3231+i321−i32-11+i321+i32−1−i321−i32-11−i32-1−1+i3210−3+3i323−3−3i321−i32-11+i321−i321−i32−1+i32-11+i32-11+i321−1−i320
χ466−3+3i3−3−3i32−1+i3−1−i30000000000−3−3i36−3+3i3−1−i32−1+i30000000000−3+3i3−3−3i36−1+i3−1−i320000000000
χ476−3−3i3−3+3i32−1−i3−1+i30000000000−3−3i3−3+3i36−1−i3−1+i320000000000−3+3i36−3−3i3−1+i32−1−i30000000000
χ48888000000000000-1−4−4i3−4−4i3−4−4i30000000000001+i32−4+4i3−4+4i3−4+4i30000000000001−i32

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