Finite Group Databasebeta

← Group #72277708

Character table — Group #72277708

Order 4374.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size123366618181827272727272727275454545454545454818181162162162162162162162162162243243243243243243243243
order1333333333333333333333333326699999999966666666
χ11111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1111111111-1-1-1-1-1-1-1-1
χ3111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ4111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-11−i321−i321−i321+i321+i321+i32
χ5111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ6111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-11+i321+i321+i321−i321−i321−i32
χ71111111111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ81111111111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-1-11−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−i321+i32-11−i321+i32-11−i321+i32
χ91111111111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i32−1+i32−1−i321−1−i321−1+i321111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32
χ101111111111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32-1-1-11−1+i32−1−i32−1+i32−1−i321−1−i321−1+i321−i321+i321−i321+i32-11+i32-11−i32
χ111111111111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321−1+i32−1−i32−1−i321−1+i32−1+i32−1−i3211111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321
χ121111111111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321-1-1-11−1+i32−1−i32−1−i321−1+i32−1+i32−1−i3211−i321+i321+i32-11−i321−i321+i32-1
χ131111111111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ141111111111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-1-11−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321+i321−i32-11+i321−i32-11+i321−i32
χ151111111111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321−1−i32−1+i32−1+i321−1−i32−1−i32−1+i3211111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321
χ161111111111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321-1-1-11−1−i32−1+i32−1+i321−1−i32−1−i32−1+i3211+i321−i321−i32-11+i321+i321−i32-1
χ171111111111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i32−1−i32−1+i321−1+i321−1−i321111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32
χ181111111111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32-1-1-11−1−i32−1+i32−1−i32−1+i321−1+i321−1−i321+i321−i321+i321−i32-11−i32-11+i32
χ1922222222222222222222222222000-1-1-1-1-1-1-1-1-100000000
χ20222222222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3000-1-1-11−i321−i321−i321+i321+i321+i3200000000
χ21222222222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3000-1-1-11+i321+i321+i321−i321−i321−i3200000000
χ222222222222−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3000-11−i321+i32-11−i321+i32-11−i321+i3200000000
χ232222222222−1+i3−1−i3−1+i3−1−i32−1−i32−1+i3−1+i3−1−i3−1+i3−1−i32−1−i32−1+i3000-11−i321+i321−i321+i32-11+i32-11−i3200000000
χ242222222222−1+i3−1−i3−1−i32−1+i3−1+i3−1−i32−1+i3−1−i3−1−i32−1+i3−1+i3−1−i32000-11−i321+i321+i32-11−i321−i321+i32-100000000
χ252222222222−1−i3−1+i32−1−i3−1+i32−1−i3−1+i3−1−i3−1+i32−1−i3−1+i32−1−i3−1+i3000-11+i321−i32-11+i321−i32-11+i321−i3200000000
χ262222222222−1−i3−1+i3−1+i32−1−i3−1−i3−1+i32−1−i3−1+i3−1+i32−1−i3−1−i3−1+i32000-11+i321−i321−i32-11+i321+i321−i32-100000000
χ272222222222−1−i3−1+i3−1−i3−1+i32−1+i32−1−i3−1−i3−1+i3−1−i3−1+i32−1+i32−1−i3000-11+i321−i321+i321−i32-11−i32-11+i3200000000
χ286666666-3-3-3000060600000-30-3000000000000000000000
χ296666666-3-3-30000−3+3i30−3−3i3000003−3i3203+3i32000000000000000000000
χ306666666-3-3-30000−3−3i30−3+3i3000003+3i3203−3i32000000000000000000000
χ316666-3-3-36-3-300060006000-3000-300000000000000000000
χ326666-3-3-36-3-3000−3+3i3000−3−3i30003−3i320003+3i3200000000000000000000
χ336666-3-3-36-3-3000−3−3i3000−3+3i30003+3i320003−3i3200000000000000000000
χ346666-3-3-3-36-30060060000-300-30000000000000000000000
χ356666-3-3-3-36-300−3+3i300−3−3i300003−3i32003+3i320000000000000000000000
χ366666-3-3-3-36-300−3−3i300−3+3i300003+3i32003−3i320000000000000000000000
χ376666-3-3-3-3-3666000000-3-300000000000000000000000000
χ386666-3-3-3-3-36−3+3i3−3−3i30000003−3i323+3i3200000000000000000000000000
χ396666-3-3-3-3-36−3−3i3−3+3i30000003+3i323−3i3200000000000000000000000000
χ4099−9+9i32−9−9i329−9+9i32−9−9i3200000000000000000003−3+3i32−3−3i3200000000000000000
χ4199−9+9i32−9−9i329−9+9i32−9−9i320000000000000000000-33−3i323+3i3200000000000000000
χ4299−9−9i32−9+9i329−9−9i32−9+9i3200000000000000000003−3−3i32−3+3i3200000000000000000
χ4399−9−9i32−9+9i329−9−9i32−9+9i320000000000000000000-33+3i323−3i3200000000000000000
χ441818−9+9i3−9−9i3-99−9i329+9i32000000000000000000000000000000000000000
χ451818−9−9i3−9+9i3-99+9i329−9i32000000000000000000000000000000000000000
χ4654-2700000000000000000000000000000000000000000000

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