Finite Group Databasebeta

← Group #5945

Character table — Group #5945

Order 192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38
size11112222224444444466666666888888888888
order124422244433661212121222224444666666121212121212
χ111111111111111111111111111111111111111
χ21111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ31111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ411111-1-11-1-11111111111-1-111-1-11-1-11-1-11-1-11-1-1
χ511111-1-11-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-111-1-1−1−i321+i321+i32−1+i321−i321−i32−1−i321+i321+i32−1+i321−i321−i32
χ611111-1-11-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-111-1-1−1+i321−i321−i32−1−i321+i321+i32−1+i321−i321−i32−1−i321+i321+i32
χ71111-11-1-11-1111111111-11-11-11-1-11-1-11-1-11-1-11-1
χ81111-11-1-11-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-11-11-11-11+i32−1−i321+i321−i32−1+i321−i321+i32−1−i321+i321−i32−1+i321−i32
χ91111-11-1-11-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-11-11-11-11−i32−1+i321−i321+i32−1−i321+i321−i32−1+i321−i321+i32−1−i321+i32
χ101111-1-11-1-11111111111-1-111-1-11-1-11-1-11-1-11-1-11
χ111111-1-11-1-11−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-1-111-1-111+i321+i32−1−i321−i321−i32−1+i321+i321+i32−1−i321−i321−i32−1+i32
χ121111-1-11-1-11−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-1-111-1-111−i321−i32−1+i321+i321+i32−1−i321−i321−i32−1+i321+i321+i32−1−i32
χ1311-1-111-1-1-111111-1-1-1-1-1-1-11111-111-111-1-1-11-1-11
χ1411-1-111-1-1-11−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1-1-11111-1−1−i32−1−i321+i32−1+i32−1+i321−i321+i321+i32−1−i321−i321−i32−1+i32
χ1511-1-111-1-1-11−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1-1-11111-1−1+i32−1+i321−i32−1−i32−1−i321+i321−i321−i32−1+i321+i321+i32−1−i32
χ1611-1-11-11-11-11111-1-1-1-1-1-11-111-111-111-11-11-1-11-1
χ1711-1-11-11-11-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1-11-111-11−1−i321+i32−1−i32−1+i321−i32−1+i321+i32−1−i321+i321−i32−1+i321−i32
χ1811-1-11-11-11-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1-11-111-11−1+i321−i32−1+i32−1−i321+i32−1−i321−i32−1+i321−i321+i32−1−i321+i32
χ1911-1-1-1111-1-11111-1-1-1-1-11-1-11-111-111-1111-1-11-1-1
χ2011-1-1-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11-1-11-1111+i32−1−i32−1−i321−i32−1+i32−1+i32−1−i321+i321+i32−1+i321−i321−i32
χ2111-1-1-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11-1-11-1111−i32−1+i32−1+i321+i32−1−i32−1−i32−1+i321−i321−i32−1−i321+i321+i32
χ2211-1-1-1-1-11111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111111
χ2311-1-1-1-1-1111−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11111-1-1-11+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ2411-1-1-1-1-1111−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11111-1-1-11−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ25333333333300000000-1-1-1-1-1-1-1-1000000000000
χ2633333-3-33-3-300000000-1-111-1-111000000000000
χ273333-33-3-33-300000000-11-11-11-11000000000000
χ283333-3-33-3-3300000000-111-1-111-1000000000000
χ2933-3-333-3-3-3300000000111-1-1-1-11000000000000
χ3033-3-33-33-33-30000000011-11-1-11-1000000000000
χ3133-3-3-3333-3-3000000001-111-11-1-1000000000000
χ3233-3-3-3-3-3333000000001-1-1-1-1111000000000000
χ334-44i−4i000000-2-2222i−2i2i−2i00000000000000000000
χ344-44i−4i0000001+i31−i3−1−i3−1+i32ζ11−2ζ112ζ7−2ζ700000000000000000000
χ354-44i−4i0000001−i31+i3−1+i3−1−i32ζ7−2ζ72ζ11−2ζ1100000000000000000000
χ364-4−4i4i000000-2-222−2i2i−2i2i00000000000000000000
χ374-4−4i4i0000001+i31−i3−1−i3−1+i3−2ζ112ζ11−2ζ72ζ700000000000000000000
χ384-4−4i4i0000001−i31+i3−1+i3−1−i3−2ζ72ζ7−2ζ112ζ1100000000000000000000

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