Finite Group Databasebeta

← Group #6276

Character table — Group #6276

Order 216.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size1116666999111666699911166669991116666999
order1333333266266666626626666662662666666266
χ11111111111111111111111111111111111111111
χ21111111-1-1-11111111-1-1-11111111-1-1-11111111-1-1-1
χ32222-1-1-10002222-1-1-10002222-1-1-10002222-1-1-1000
χ4222-12-1-1000222-12-1-1000222-12-1-1000222-12-1-1000
χ5222-1-12-1000222-1-12-1000222-1-12-1000222-1-12-1000
χ6222-1-1-12000222-1-1-12000222-1-1-12000222-1-1-12000
χ73−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i32
χ83−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i32
χ93−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i32
χ103−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i32
χ111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1
χ121111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111
χ132222-1-1-1000-2-2-2-21110002222-1-1-1000-2-2-2-2111000
χ14222-12-1-1000-2-2-21-211000222-12-1-1000-2-2-21-211000
χ15222-1-12-1000-2-2-211-21000222-1-12-1000-2-2-211-21000
χ16222-1-1-12000-2-2-2111-2000222-1-1-12000-2-2-2111-2000
χ173−3+3i32−3−3i3200001−1+i32−1−i32-33−3i323+3i320000-11−i321+i323−3+3i32−3−3i3200001−1+i32−1−i32-33−3i323+3i320000-11−i321+i32
χ183−3+3i32−3−3i320000-11−i321+i32-33−3i323+3i3200001−1+i32−1−i323−3+3i32−3−3i320000-11−i321+i32-33−3i323+3i3200001−1+i32−1−i32
χ193−3−3i32−3+3i3200001−1−i32−1+i32-33+3i323−3i320000-11+i321−i323−3−3i32−3+3i3200001−1−i32−1+i32-33+3i323−3i320000-11+i321−i32
χ203−3−3i32−3+3i320000-11+i321−i32-33+3i323−3i3200001−1−i32−1+i323−3−3i32−3+3i320000-11+i321−i32-33+3i323−3i3200001−1−i32−1+i32
χ2111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ221111111-1-1-11111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111
χ232222-1-1-10002222-1-1-1000-2-2-2-2111000-2-2-2-2111000
χ24222-12-1-1000222-12-1-1000-2-2-21-211000-2-2-21-211000
χ25222-1-12-1000222-1-12-1000-2-2-211-21000-2-2-211-21000
χ26222-1-1-12000222-1-1-12000-2-2-2111-2000-2-2-2111-2000
χ273−3+3i32−3−3i3200001−1+i32−1−i323−3+3i32−3−3i3200001−1+i32−1−i32-33−3i323+3i320000-11−i321+i32-33−3i323+3i320000-11−i321+i32
χ283−3+3i32−3−3i320000-11−i321+i323−3+3i32−3−3i320000-11−i321+i32-33−3i323+3i3200001−1+i32−1−i32-33−3i323+3i3200001−1+i32−1−i32
χ293−3−3i32−3+3i3200001−1−i32−1+i323−3−3i32−3+3i3200001−1−i32−1+i32-33+3i323−3i320000-11+i321−i32-33+3i323−3i320000-11+i321−i32
χ303−3−3i32−3+3i320000-11+i321−i323−3−3i32−3+3i320000-11+i321−i32-33+3i323−3i3200001−1−i32−1+i32-33+3i323−3i3200001−1−i32−1+i32
χ311111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ321111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-11111111111-1-1-1
χ332222-1-1-1000-2-2-2-2111000-2-2-2-21110002222-1-1-1000
χ34222-12-1-1000-2-2-21-211000-2-2-21-211000222-12-1-1000
χ35222-1-12-1000-2-2-211-21000-2-2-211-21000222-1-12-1000
χ36222-1-1-12000-2-2-2111-2000-2-2-2111-2000222-1-1-12000
χ373−3+3i32−3−3i3200001−1+i32−1−i32-33−3i323+3i320000-11−i321+i32-33−3i323+3i320000-11−i321+i323−3+3i32−3−3i3200001−1+i32−1−i32
χ383−3+3i32−3−3i320000-11−i321+i32-33−3i323+3i3200001−1+i32−1−i32-33−3i323+3i3200001−1+i32−1−i323−3+3i32−3−3i320000-11−i321+i32
χ393−3−3i32−3+3i3200001−1−i32−1+i32-33+3i323−3i320000-11+i321−i32-33+3i323−3i320000-11+i321−i323−3−3i32−3+3i3200001−1−i32−1+i32
χ403−3−3i32−3+3i320000-11+i321−i32-33+3i323−3i3200001−1−i32−1+i32-33+3i323−3i3200001−1−i32−1+i323−3−3i32−3+3i320000-11+i321−i32

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