Finite Group Databasebeta

← Group #11919328

Character table — Group #11919328

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36
size111333121212161616242424242424242424242424646464646464646464646464
order1332664121226644881212121224242424333333666666
χ1111111111111111111111111111111111111
χ2111111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ3111111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ4111111111-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1
χ5111111111-1-1-111-1-11111-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i32
χ6111111111-1-1-111-1-11111-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i32
χ71−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321111−1−i32−1−i32−1+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+i32
χ81−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32
χ91−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321
χ101−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-11+i321−i3211-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321−1−i32−1+i321−1−i32−1+i32-11+i321−i32-11+i321−i32
χ111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-11+i321−i3211-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1+i321−1+i321−1−i321+i321−i32-11−i32-11+i32
χ121−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-11+i321−i3211-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1+i321−1−i32−1−i32−1+i3211−i32-11+i321+i321−i32-1
χ131−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321111−1+i32−1+i32−1−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−i32
χ141−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321
χ151−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32
χ161−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-11−i321+i3211-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−1+i32−1−i321−1+i32−1−i32-11−i321+i32-11−i321+i32
χ171−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-11−i321+i3211-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1−i321−1+i32−1+i32−1−i3211+i32-11−i321−i321+i32-1
χ181−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-11−i321+i3211-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1−i321−1−i321−1+i321−i321+i32-11+i32-11−i32
χ19333333333333-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ20333333333-3-3-3-1-111-1-1-1-11111000000000000
χ213−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i32000000000000
χ223−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i32-33+3i323−3i32-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32000000000000
χ233−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i32000000000000
χ243−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i32-33−3i323+3i32-1-1111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32000000000000
χ25666666-2-2-20002-2002-22-20000000000000000
χ26666666-2-2-2000-2200-22-220000000000000000
χ276−3−3i3−3+3i36−3−3i3−3+3i3-21+i31−i30002-200−1−i31+i3−1+i31−i30000000000000000
χ286−3−3i3−3+3i36−3−3i3−3+3i3-21+i31−i3000-22001+i3−1−i31−i3−1+i30000000000000000
χ296−3+3i3−3−3i36−3+3i3−3−3i3-21−i31+i30002-200−1+i31−i3−1−i31+i30000000000000000
χ306−3+3i3−3−3i36−3+3i3−3−3i3-21−i31+i3000-22001−i3−1+i31+i3−1−i30000000000000000
χ31121212-4-4-4000000002i−2i00002i−2i2i−2i000000000000
χ32121212-4-4-400000000−2i2i0000−2i2i−2i2i000000000000
χ3312−6−6i3−6+6i3-42+2i32−2i3000000002i−2i00002ζ11−2ζ112ζ7−2ζ7000000000000
χ3412−6−6i3−6+6i3-42+2i32−2i300000000−2i2i0000−2ζ112ζ11−2ζ72ζ7000000000000
χ3512−6+6i3−6−6i3-42−2i32+2i3000000002i−2i00002ζ7−2ζ72ζ11−2ζ11000000000000
χ3612−6+6i3−6−6i3-42−2i32+2i300000000−2i2i0000−2ζ72ζ7−2ζ112ζ11000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.