Finite Group Databasebeta

← Group #11922557

Character table — Group #11922557

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size13344466912121212161616161616181824242424364848484848486464646464646464
order1222334422466336666441212121246666121233336666
χ11111111111111111111111111111111111111111
χ21111111111111−1−i32−1+i3211−1−i32−1+i321111111−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ31111111111111−1+i32−1−i3211−1+i32−1−i321111111−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ41111−1−i32−1+i3211111−1−i32−1+i3211−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i3211111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32
χ51111−1−i32−1+i3211111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1+i3211−1−i32−1+i3211−1−i32
χ61111−1−i32−1+i3211111−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i3211−1−i32−1−i32−1+i32−1+i321−1+i32−1+i32−1−i32−1−i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1+i321
χ71111−1+i32−1−i3211111−1+i32−1−i3211−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i3211111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32
χ81111−1+i32−1−i3211111−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i3211−1+i32−1+i32−1−i32−1−i321−1−i32−1−i32−1+i32−1+i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i321
χ91111−1+i32−1−i3211111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1−i3211−1+i32−1−i3211−1+i32
χ10111-111111-1-11111-1-1-1-1111111-11-11-1-1-11111-1-1-1-1
χ11111-111111-1-111−1−i32−1+i32-1-11+i321−i32111111-1−1−i321+i32−1+i321−i32-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32
χ12111-111111-1-111−1+i32−1−i32-1-11−i321+i32111111-1−1+i321−i32−1−i321+i32-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32
χ13111-1−1−i32−1+i32111-1-1−1−i32−1+i32111+i321−i32-1-111−1−i32−1−i32−1+i32−1+i32-11-11-11+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32
χ14111-1−1−i32−1+i32111-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i3211−1−i32−1−i32−1+i32−1+i32-1−1−i321+i32−1+i321−i321+i321−i32−1+i3211−1−i321−i32-1-11+i32
χ15111-1−1−i32−1+i32111-1-1−1−i32−1+i32−1+i32−1−i321+i321−i321−i321+i3211−1−i32−1−i32−1+i32−1+i32-1−1+i321−i32−1−i321+i321+i321−i321−1−i32−1+i321-11+i321−i32-1
χ16111-1−1+i32−1−i32111-1-1−1+i32−1−i32111−i321+i32-1-111−1+i32−1+i32−1−i32−1−i32-11-11-11−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32
χ17111-1−1+i32−1−i32111-1-1−1+i32−1−i32−1−i32−1+i321−i321+i321+i321−i3211−1+i32−1+i32−1−i32−1−i32-1−1−i321+i32−1+i321−i321−i321+i321−1+i32−1−i321-11−i321+i32-1
χ18111-1−1+i32−1−i32111-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i3211−1+i32−1+i32−1−i32−1−i32-1−1+i321−i32−1−i321+i321−i321+i32−1−i3211−1+i321+i32-1-11−i32
χ19333333-1-133-133003300-1-1-1-1-1-1-10000-1-100000000
χ203333−3−3i32−3+3i32-1-133-1−3−3i32−3+3i3200−3−3i32−3+3i3200-1-11+i321+i321−i321−i32-100001+i321−i3200000000
χ213333−3+3i32−3−3i32-1-133-1−3+3i32−3−3i3200−3+3i32−3−3i3200-1-11−i321−i321+i321+i32-100001−i321+i3200000000
χ22333-333-1-13-313300-3-300-1-1-1-1-1-1100001100000000
χ23333-3−3−3i32−3+3i32-1-13-31−3−3i32−3+3i32003+3i323−3i3200-1-11+i321+i321−i321−i3210000−1−i32−1+i3200000000
χ24333-3−3+3i32−3−3i32-1-13-31−3+3i32−3−3i32003−3i323+3i3200-1-11−i321−i321+i321+i3210000−1+i32−1−i3200000000
χ253-1330033-1-1300330033-1-10000-1-1-1-1-10000000000
χ263-1330033-1-1300−3−3i32−3+3i3200−3−3i32−3+3i32-1-10000-11+i321+i321−i321−i320000000000
χ273-1330033-1-1300−3+3i32−3−3i3200−3+3i32−3−3i32-1-10000-11−i321−i321+i321+i320000000000
χ283-13-30033-11-3003300-3-3-1-100001-11-110000000000
χ293-13-30033-11-300−3−3i32−3+3i32003+3i323−3i32-1-1000011+i32−1−i321−i32−1+i320000000000
χ303-13-30033-11-300−3+3i32−3−3i32003−3i323+3i32-1-1000011−i32−1+i321+i32−1−i320000000000
χ3166-20662i−2i-200-2-20000002i−2i2i−2i2i−2i000000000000000
χ3266-2066−2i2i-200-2-2000000−2i2i−2i2i−2i2i000000000000000
χ3366-20−3−3i3−3+3i32i−2i-2001+i31−i30000002i−2i2ζ11−2ζ112ζ7−2ζ7000000000000000
χ3466-20−3−3i3−3+3i3−2i2i-2001+i31−i3000000−2i2i−2ζ112ζ11−2ζ72ζ7000000000000000
χ3566-20−3+3i3−3−3i32i−2i-2001−i31+i30000002i−2i2ζ7−2ζ72ζ11−2ζ11000000000000000
χ3666-20−3+3i3−3−3i3−2i2i-2001−i31+i3000000−2i2i−2ζ72ζ7−2ζ112ζ11000000000000000
χ379-39900-3-3-3-3-300000000110000100000000000000
χ389-39-900-3-3-33300000000110000-100000000000000
χ3918-6-60006i−6i20000000000−2i2i0000000000000000000
χ4018-6-6000−6i6i200000000002i−2i0000000000000000000

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