Finite Group Databasebeta

← Group #14512513

Character table — Group #14512513

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size13333316164121212121264645151515151580805151515151580805151515151580801333331616412121212126464515151515158080515151515158080515151515158080
order1244443351020202020151522444466444444121244444412122244446610102020202030302244446644444412124444441212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32
χ3111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32
χ433-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-100
χ53-111−1+2i−1−2i003-111−1+2i−1−2i003-111−1+2i−1−2i003-111−1+2i−1−2i003-111−1+2i−1−2i003-111−1+2i−1−2i003-111−1+2i−1−2i003-111−1+2i−1−2i003-111−1+2i−1−2i003-111−1+2i−1−2i00
χ63-111−1−2i−1+2i003-111−1−2i−1+2i003-111−1−2i−1+2i003-111−1−2i−1+2i003-111−1−2i−1+2i003-111−1−2i−1+2i003-111−1−2i−1+2i003-111−1−2i−1+2i003-111−1−2i−1+2i003-111−1−2i−1+2i00
χ73-1−1+2i−1−2i11003-1−1+2i−1−2i11003-1−1+2i−1−2i11003-1−1+2i−1−2i11003-1−1+2i−1−2i11003-1−1+2i−1−2i11003-1−1+2i−1−2i11003-1−1+2i−1−2i11003-1−1+2i−1−2i11003-1−1+2i−1−2i1100
χ83-1−1−2i−1+2i11003-1−1−2i−1+2i11003-1−1−2i−1+2i11003-1−1−2i−1+2i11003-1−1−2i−1+2i11003-1−1−2i−1+2i11003-1−1−2i−1+2i11003-1−1−2i−1+2i11003-1−1−2i−1+2i11003-1−1−2i−1+2i1100
χ9111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ10111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i32
χ11111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32-1-1-1-1-1-11−i321+i32-1-1-1-1-1-11−i321+i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32-1-1-1-1-1-11−i321+i32-1-1-1-1-1-11−i321+i32
χ1233-1-1-1-10033-1-1-1-10033-1-1-1-100-3-3111100-3-311110033-1-1-1-10033-1-1-1-10033-1-1-1-100-3-3111100-3-3111100
χ133-111−1+2i−1−2i003-111−1+2i−1−2i003-111−1+2i−1−2i00-31-1-11−2i1+2i00-31-1-11−2i1+2i003-111−1+2i−1−2i003-111−1+2i−1−2i003-111−1+2i−1−2i00-31-1-11−2i1+2i00-31-1-11−2i1+2i00
χ143-111−1−2i−1+2i003-111−1−2i−1+2i003-111−1−2i−1+2i00-31-1-11+2i1−2i00-31-1-11+2i1−2i003-111−1−2i−1+2i003-111−1−2i−1+2i003-111−1−2i−1+2i00-31-1-11+2i1−2i00-31-1-11+2i1−2i00
χ153-1−1+2i−1−2i11003-1−1+2i−1−2i11003-1−1+2i−1−2i1100-311−2i1+2i-1-100-311−2i1+2i-1-1003-1−1+2i−1−2i11003-1−1+2i−1−2i11003-1−1+2i−1−2i1100-311−2i1+2i-1-100-311−2i1+2i-1-100
χ163-1−1−2i−1+2i11003-1−1−2i−1+2i11003-1−1−2i−1+2i1100-311+2i1−2i-1-100-311+2i1−2i-1-1003-1−1−2i−1+2i11003-1−1−2i−1+2i11003-1−1−2i−1+2i1100-311+2i1−2i-1-100-311+2i1−2i-1-100
χ171111111111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111111111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i
χ18111111−1−i32−1+i32111111−1−i32−1+i32-1-1-1-1-1-11+i321−i32iiiiiiζ11ζ7−i−i−i−i−i−i−ζ11−ζ7111111−1−i32−1+i32111111−1−i32−1+i32-1-1-1-1-1-11+i321−i32iiiiiiζ11ζ7−i−i−i−i−i−i−ζ11−ζ7
χ19111111−1+i32−1−i32111111−1+i32−1−i32-1-1-1-1-1-11−i321+i32iiiiiiζ7ζ11−i−i−i−i−i−i−ζ7−ζ11111111−1+i32−1−i32111111−1+i32−1−i32-1-1-1-1-1-11−i321+i32iiiiiiζ7ζ11−i−i−i−i−i−i−ζ7−ζ11
χ2033-1-1-1-10033-1-1-1-100-3-31111003i3i−i−i−i−i00−3i−3iiiii0033-1-1-1-10033-1-1-1-100-3-31111003i3i−i−i−i−i00−3i−3iiiii00
χ213-111−1+2i−1−2i003-111−1+2i−1−2i00-31-1-11−2i1+2i003i−iii−2−i2−i00−3ii−i−i2+i−2+i003-111−1+2i−1−2i003-111−1+2i−1−2i00-31-1-11−2i1+2i003i−iii−2−i2−i00−3ii−i−i2+i−2+i00
χ223-111−1−2i−1+2i003-111−1−2i−1+2i00-31-1-11+2i1−2i003i−iii2−i−2−i00−3ii−i−i−2+i2+i003-111−1−2i−1+2i003-111−1−2i−1+2i00-31-1-11+2i1−2i003i−iii2−i−2−i00−3ii−i−i−2+i2+i00
χ233-1−1+2i−1−2i11003-1−1+2i−1−2i1100-311−2i1+2i-1-1003i−i−2−i2−iii00−3ii2+i−2+i−i−i003-1−1+2i−1−2i11003-1−1+2i−1−2i1100-311−2i1+2i-1-1003i−i−2−i2−iii00−3ii2+i−2+i−i−i00
χ243-1−1−2i−1+2i11003-1−1−2i−1+2i1100-311+2i1−2i-1-1003i−i2−i−2−iii00−3ii−2+i2+i−i−i003-1−1−2i−1+2i11003-1−1−2i−1+2i1100-311+2i1−2i-1-1003i−i2−i−2−iii00−3ii−2+i2+i−i−i00
χ251111111111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111111111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii
χ26111111−1−i32−1+i32111111−1−i32−1+i32-1-1-1-1-1-11+i321−i32−i−i−i−i−i−i−ζ11−ζ7iiiiiiζ11ζ7111111−1−i32−1+i32111111−1−i32−1+i32-1-1-1-1-1-11+i321−i32−i−i−i−i−i−i−ζ11−ζ7iiiiiiζ11ζ7
χ27111111−1+i32−1−i32111111−1+i32−1−i32-1-1-1-1-1-11−i321+i32−i−i−i−i−i−i−ζ7−ζ11iiiiiiζ7ζ11111111−1+i32−1−i32111111−1+i32−1−i32-1-1-1-1-1-11−i321+i32−i−i−i−i−i−i−ζ7−ζ11iiiiiiζ7ζ11
χ2833-1-1-1-10033-1-1-1-100-3-3111100−3i−3iiiii003i3i−i−i−i−i0033-1-1-1-10033-1-1-1-100-3-3111100−3i−3iiiii003i3i−i−i−i−i00
χ293-111−1+2i−1−2i003-111−1+2i−1−2i00-31-1-11−2i1+2i00−3ii−i−i2+i−2+i003i−iii−2−i2−i003-111−1+2i−1−2i003-111−1+2i−1−2i00-31-1-11−2i1+2i00−3ii−i−i2+i−2+i003i−iii−2−i2−i00
χ303-111−1−2i−1+2i003-111−1−2i−1+2i00-31-1-11+2i1−2i00−3ii−i−i−2+i2+i003i−iii2−i−2−i003-111−1−2i−1+2i003-111−1−2i−1+2i00-31-1-11+2i1−2i00−3ii−i−i−2+i2+i003i−iii2−i−2−i00
χ313-1−1+2i−1−2i11003-1−1+2i−1−2i1100-311−2i1+2i-1-100−3ii2+i−2+i−i−i003i−i−2−i2−iii003-1−1+2i−1−2i11003-1−1+2i−1−2i1100-311−2i1+2i-1-100−3ii2+i−2+i−i−i003i−i−2−i2−iii00
χ323-1−1−2i−1+2i11003-1−1−2i−1+2i1100-311+2i1−2i-1-100−3ii−2+i2+i−i−i003i−i2−i−2−iii003-1−1−2i−1+2i11003-1−1−2i−1+2i1100-311+2i1−2i-1-100−3ii−2+i2+i−i−i003i−i2−i−2−iii00
χ3344444444-1-1-1-1-1-1-1-100000000000000000000000044444444-1-1-1-1-1-1-1-1000000000000000000000000
χ34444444−2−2i3−2+2i3-1-1-1-1-1-11+i321−i32000000000000000000000000444444−2−2i3−2+2i3-1-1-1-1-1-11+i321−i32000000000000000000000000
χ35444444−2+2i3−2−2i3-1-1-1-1-1-11−i321+i32000000000000000000000000444444−2+2i3−2−2i3-1-1-1-1-1-11−i321+i32000000000000000000000000
χ361212-4-4-4-400-3-31111000000000000000000000000001212-4-4-4-400-3-3111100000000000000000000000000
χ3712-444−4+8i−4−8i00-31-1-11−2i1+2i0000000000000000000000000012-444−4+8i−4−8i00-31-1-11−2i1+2i00000000000000000000000000
χ3812-444−4−8i−4+8i00-31-1-11+2i1−2i0000000000000000000000000012-444−4−8i−4+8i00-31-1-11+2i1−2i00000000000000000000000000
χ3912-4−4+8i−4−8i4400-311−2i1+2i-1-10000000000000000000000000012-4−4+8i−4−8i4400-311−2i1+2i-1-100000000000000000000000000
χ4012-4−4−8i−4+8i4400-311+2i1−2i-1-10000000000000000000000000012-4−4−8i−4+8i4400-311+2i1−2i-1-100000000000000000000000000
χ411111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ42111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i32
χ43111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32-1-1-1-1-1-11−i321+i32-1-1-1-1-1-11−i321+i32-1-1-1-1-1-11−i321+i32-1-1-1-1-1-11−i321+i32-1-1-1-1-1-11−i321+i32
χ4433-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-100-3-3111100-3-3111100-3-3111100-3-3111100-3-3111100
χ453-111−1+2i−1−2i003-111−1+2i−1−2i003-111−1+2i−1−2i003-111−1+2i−1−2i003-111−1+2i−1−2i00-31-1-11−2i1+2i00-31-1-11−2i1+2i00-31-1-11−2i1+2i00-31-1-11−2i1+2i00-31-1-11−2i1+2i00
χ463-111−1−2i−1+2i003-111−1−2i−1+2i003-111−1−2i−1+2i003-111−1−2i−1+2i003-111−1−2i−1+2i00-31-1-11+2i1−2i00-31-1-11+2i1−2i00-31-1-11+2i1−2i00-31-1-11+2i1−2i00-31-1-11+2i1−2i00
χ473-1−1+2i−1−2i11003-1−1+2i−1−2i11003-1−1+2i−1−2i11003-1−1+2i−1−2i11003-1−1+2i−1−2i1100-311−2i1+2i-1-100-311−2i1+2i-1-100-311−2i1+2i-1-100-311−2i1+2i-1-100-311−2i1+2i-1-100
χ483-1−1−2i−1+2i11003-1−1−2i−1+2i11003-1−1−2i−1+2i11003-1−1−2i−1+2i11003-1−1−2i−1+2i1100-311+2i1−2i-1-100-311+2i1−2i-1-100-311+2i1−2i-1-100-311+2i1−2i-1-100-311+2i1−2i-1-100
χ49111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ50111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i32111111−1−i32−1+i32111111−1−i32−1+i32
χ51111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32-1-1-1-1-1-11−i321+i32-1-1-1-1-1-11−i321+i32-1-1-1-1-1-11−i321+i32-1-1-1-1-1-11−i321+i32-1-1-1-1-1-11−i321+i32111111−1+i32−1−i32111111−1+i32−1−i32
χ5233-1-1-1-10033-1-1-1-10033-1-1-1-100-3-3111100-3-3111100-3-3111100-3-3111100-3-311110033-1-1-1-10033-1-1-1-100
χ533-111−1+2i−1−2i003-111−1+2i−1−2i003-111−1+2i−1−2i00-31-1-11−2i1+2i00-31-1-11−2i1+2i00-31-1-11−2i1+2i00-31-1-11−2i1+2i00-31-1-11−2i1+2i003-111−1+2i−1−2i003-111−1+2i−1−2i00
χ543-111−1−2i−1+2i003-111−1−2i−1+2i003-111−1−2i−1+2i00-31-1-11+2i1−2i00-31-1-11+2i1−2i00-31-1-11+2i1−2i00-31-1-11+2i1−2i00-31-1-11+2i1−2i003-111−1−2i−1+2i003-111−1−2i−1+2i00
χ553-1−1+2i−1−2i11003-1−1+2i−1−2i11003-1−1+2i−1−2i1100-311−2i1+2i-1-100-311−2i1+2i-1-100-311−2i1+2i-1-100-311−2i1+2i-1-100-311−2i1+2i-1-1003-1−1+2i−1−2i11003-1−1+2i−1−2i1100
χ563-1−1−2i−1+2i11003-1−1−2i−1+2i11003-1−1−2i−1+2i1100-311+2i1−2i-1-100-311+2i1−2i-1-100-311+2i1−2i-1-100-311+2i1−2i-1-100-311+2i1−2i-1-1003-1−1−2i−1+2i11003-1−1−2i−1+2i1100
χ571111111111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii
χ58111111−1−i32−1+i32111111−1−i32−1+i32-1-1-1-1-1-11+i321−i32iiiiiiζ11ζ7−i−i−i−i−i−i−ζ11−ζ7-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i32111111−1−i32−1+i32−i−i−i−i−i−i−ζ11−ζ7iiiiiiζ11ζ7
χ59111111−1+i32−1−i32111111−1+i32−1−i32-1-1-1-1-1-11−i321+i32iiiiiiζ7ζ11−i−i−i−i−i−i−ζ7−ζ11-1-1-1-1-1-11−i321+i32-1-1-1-1-1-11−i321+i32111111−1+i32−1−i32−i−i−i−i−i−i−ζ7−ζ11iiiiiiζ7ζ11
χ6033-1-1-1-10033-1-1-1-100-3-31111003i3i−i−i−i−i00−3i−3iiiii00-3-3111100-3-311110033-1-1-1-100−3i−3iiiii003i3i−i−i−i−i00
χ613-111−1+2i−1−2i003-111−1+2i−1−2i00-31-1-11−2i1+2i003i−iii−2−i2−i00−3ii−i−i2+i−2+i00-31-1-11−2i1+2i00-31-1-11−2i1+2i003-111−1+2i−1−2i00−3ii−i−i2+i−2+i003i−iii−2−i2−i00
χ623-111−1−2i−1+2i003-111−1−2i−1+2i00-31-1-11+2i1−2i003i−iii2−i−2−i00−3ii−i−i−2+i2+i00-31-1-11+2i1−2i00-31-1-11+2i1−2i003-111−1−2i−1+2i00−3ii−i−i−2+i2+i003i−iii2−i−2−i00
χ633-1−1+2i−1−2i11003-1−1+2i−1−2i1100-311−2i1+2i-1-1003i−i−2−i2−iii00−3ii2+i−2+i−i−i00-311−2i1+2i-1-100-311−2i1+2i-1-1003-1−1+2i−1−2i1100−3ii2+i−2+i−i−i003i−i−2−i2−iii00
χ643-1−1−2i−1+2i11003-1−1−2i−1+2i1100-311+2i1−2i-1-1003i−i2−i−2−iii00−3ii−2+i2+i−i−i00-311+2i1−2i-1-100-311+2i1−2i-1-1003-1−1−2i−1+2i1100−3ii−2+i2+i−i−i003i−i2−i−2−iii00
χ651111111111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i
χ66111111−1−i32−1+i32111111−1−i32−1+i32-1-1-1-1-1-11+i321−i32−i−i−i−i−i−i−ζ11−ζ7iiiiiiζ11ζ7-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i32111111−1−i32−1+i32iiiiiiζ11ζ7−i−i−i−i−i−i−ζ11−ζ7
χ67111111−1+i32−1−i32111111−1+i32−1−i32-1-1-1-1-1-11−i321+i32−i−i−i−i−i−i−ζ7−ζ11iiiiiiζ7ζ11-1-1-1-1-1-11−i321+i32-1-1-1-1-1-11−i321+i32111111−1+i32−1−i32iiiiiiζ7ζ11−i−i−i−i−i−i−ζ7−ζ11
χ6833-1-1-1-10033-1-1-1-100-3-3111100−3i−3iiiii003i3i−i−i−i−i00-3-3111100-3-311110033-1-1-1-1003i3i−i−i−i−i00−3i−3iiiii00
χ693-111−1+2i−1−2i003-111−1+2i−1−2i00-31-1-11−2i1+2i00−3ii−i−i2+i−2+i003i−iii−2−i2−i00-31-1-11−2i1+2i00-31-1-11−2i1+2i003-111−1+2i−1−2i003i−iii−2−i2−i00−3ii−i−i2+i−2+i00
χ703-111−1−2i−1+2i003-111−1−2i−1+2i00-31-1-11+2i1−2i00−3ii−i−i−2+i2+i003i−iii2−i−2−i00-31-1-11+2i1−2i00-31-1-11+2i1−2i003-111−1−2i−1+2i003i−iii2−i−2−i00−3ii−i−i−2+i2+i00
χ713-1−1+2i−1−2i11003-1−1+2i−1−2i1100-311−2i1+2i-1-100−3ii2+i−2+i−i−i003i−i−2−i2−iii00-311−2i1+2i-1-100-311−2i1+2i-1-1003-1−1+2i−1−2i11003i−i−2−i2−iii00−3ii2+i−2+i−i−i00
χ723-1−1−2i−1+2i11003-1−1−2i−1+2i1100-311+2i1−2i-1-100−3ii−2+i2+i−i−i003i−i2−i−2−iii00-311+2i1−2i-1-100-311+2i1−2i-1-1003-1−1−2i−1+2i11003i−i2−i−2−iii00−3ii−2+i2+i−i−i00
χ7344444444-1-1-1-1-1-1-1-1000000000000000000000000-4-4-4-4-4-4-4-411111111000000000000000000000000
χ74444444−2−2i3−2+2i3-1-1-1-1-1-11+i321−i32000000000000000000000000-4-4-4-4-4-42+2i32−2i3111111−1−i32−1+i32000000000000000000000000
χ75444444−2+2i3−2−2i3-1-1-1-1-1-11−i321+i32000000000000000000000000-4-4-4-4-4-42−2i32+2i3111111−1+i32−1−i32000000000000000000000000
χ761212-4-4-4-400-3-3111100000000000000000000000000-12-1244440033-1-1-1-100000000000000000000000000
χ7712-444−4+8i−4−8i00-31-1-11−2i1+2i00000000000000000000000000-124-4-44−8i4+8i003-111−1+2i−1−2i00000000000000000000000000
χ7812-444−4−8i−4+8i00-31-1-11+2i1−2i00000000000000000000000000-124-4-44+8i4−8i003-111−1−2i−1+2i00000000000000000000000000
χ7912-4−4+8i−4−8i4400-311−2i1+2i-1-100000000000000000000000000-1244−8i4+8i-4-4003-1−1+2i−1−2i1100000000000000000000000000
χ8012-4−4−8i−4+8i4400-311+2i1−2i-1-100000000000000000000000000-1244+8i4−8i-4-4003-1−1−2i−1+2i1100000000000000000000000000

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