Finite Group Databasebeta

← Group #14514708

Character table — Group #14514708

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size13333316164121212121264645151515151580805151515151580805151515151580801333331616412121212126464515151515158080515151515158080515151515158080
order1222223351010101010151522222266444444121244444412122222226610101010101030302222226644444412124444441212
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
χ53-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-100
χ63-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-100
χ73-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-100
χ83-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-1300
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
χ133-13-1-1-1003-13-1-1-1003-13-1-1-100-31-311100-31-3111003-13-1-1-1003-13-1-1-1003-13-1-1-100-31-311100-31-311100
χ143-1-13-1-1003-1-13-1-1003-1-13-1-100-311-31100-311-311003-1-13-1-1003-1-13-1-1003-1-13-1-100-311-31100-311-31100
χ153-1-1-13-1003-1-1-13-1003-1-1-13-100-3111-3100-3111-31003-1-1-13-1003-1-1-13-1003-1-1-13-100-3111-3100-3111-3100
χ163-1-1-1-13003-1-1-1-13003-1-1-1-1300-31111-300-31111-3003-1-1-1-13003-1-1-1-13003-1-1-1-1300-31111-300-31111-300
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+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
χ19111111−1−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
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
χ213-13-1-1-1003-13-1-1-100-31-3111003i−i3i−i−i−i00−3ii−3iiii003-13-1-1-1003-13-1-1-100-31-3111003i−i3i−i−i−i00−3ii−3iiii00
χ223-1-13-1-1003-1-13-1-100-311-311003i−i−i3i−i−i00−3iii−3iii003-1-13-1-1003-1-13-1-100-311-311003i−i−i3i−i−i00−3iii−3iii00
χ233-1-1-13-1003-1-1-13-100-3111-31003i−i−i−i3i−i00−3iiii−3ii003-1-1-13-1003-1-1-13-100-3111-31003i−i−i−i3i−i00−3iiii−3ii00
χ243-1-1-1-13003-1-1-1-1300-31111-3003i−i−i−i−i3i00−3iiiii−3i003-1-1-1-13003-1-1-1-1300-31111-3003i−i−i−i−i3i00−3iiiii−3i00
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−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
χ27111111−1−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
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
χ293-13-1-1-1003-13-1-1-100-31-311100−3ii−3iiii003i−i3i−i−i−i003-13-1-1-1003-13-1-1-100-31-311100−3ii−3iiii003i−i3i−i−i−i00
χ303-1-13-1-1003-1-13-1-100-311-31100−3iii−3iii003i−i−i3i−i−i003-1-13-1-1003-1-13-1-100-311-31100−3iii−3iii003i−i−i3i−i−i00
χ313-1-1-13-1003-1-1-13-100-3111-3100−3iiii−3ii003i−i−i−i3i−i003-1-1-13-1003-1-1-13-100-3111-3100−3iiii−3ii003i−i−i−i3i−i00
χ323-1-1-1-13003-1-1-1-1300-31111-300−3iiiii−3i003i−i−i−i−i3i003-1-1-1-13003-1-1-1-1300-31111-300−3iiiii−3i003i−i−i−i−i3i00
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
χ3712-412-4-4-400-31-31110000000000000000000000000012-412-4-4-400-31-311100000000000000000000000000
χ3812-4-412-4-400-311-3110000000000000000000000000012-4-412-4-400-311-31100000000000000000000000000
χ3912-4-4-412-400-3111-310000000000000000000000000012-4-4-412-400-3111-3100000000000000000000000000
χ4012-4-4-4-41200-31111-30000000000000000000000000012-4-4-4-41200-31111-300000000000000000000000000
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
χ453-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-100-31-311100-31-311100-31-311100-31-311100-31-311100
χ463-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-100-311-31100-311-31100-311-31100-311-31100-311-31100
χ473-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-100-3111-3100-3111-3100-3111-3100-3111-3100-3111-3100
χ483-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-1300-31111-300-31111-300-31111-300-31111-300-31111-300
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
χ533-13-1-1-1003-13-1-1-1003-13-1-1-100-31-311100-31-311100-31-311100-31-311100-31-3111003-13-1-1-1003-13-1-1-100
χ543-1-13-1-1003-1-13-1-1003-1-13-1-100-311-31100-311-31100-311-31100-311-31100-311-311003-1-13-1-1003-1-13-1-100
χ553-1-1-13-1003-1-1-13-1003-1-1-13-100-3111-3100-3111-3100-3111-3100-3111-3100-3111-31003-1-1-13-1003-1-1-13-100
χ563-1-1-1-13003-1-1-1-13003-1-1-1-1300-31111-300-31111-300-31111-300-31111-300-31111-3003-1-1-1-13003-1-1-1-1300
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+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
χ59111111−1−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
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
χ613-13-1-1-1003-13-1-1-100-31-3111003i−i3i−i−i−i00−3ii−3iiii00-31-311100-31-3111003-13-1-1-100−3ii−3iiii003i−i3i−i−i−i00
χ623-1-13-1-1003-1-13-1-100-311-311003i−i−i3i−i−i00−3iii−3iii00-311-31100-311-311003-1-13-1-100−3iii−3iii003i−i−i3i−i−i00
χ633-1-1-13-1003-1-1-13-100-3111-31003i−i−i−i3i−i00−3iiii−3ii00-3111-3100-3111-31003-1-1-13-100−3iiii−3ii003i−i−i−i3i−i00
χ643-1-1-1-13003-1-1-1-1300-31111-3003i−i−i−i−i3i00−3iiiii−3i00-31111-300-31111-3003-1-1-1-1300−3iiiii−3i003i−i−i−i−i3i00
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−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
χ67111111−1−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
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
χ693-13-1-1-1003-13-1-1-100-31-311100−3ii−3iiii003i−i3i−i−i−i00-31-311100-31-3111003-13-1-1-1003i−i3i−i−i−i00−3ii−3iiii00
χ703-1-13-1-1003-1-13-1-100-311-31100−3iii−3iii003i−i−i3i−i−i00-311-31100-311-311003-1-13-1-1003i−i−i3i−i−i00−3iii−3iii00
χ713-1-1-13-1003-1-1-13-100-3111-3100−3iiii−3ii003i−i−i−i3i−i00-3111-3100-3111-31003-1-1-13-1003i−i−i−i3i−i00−3iiii−3ii00
χ723-1-1-1-13003-1-1-1-1300-31111-300−3iiiii−3i003i−i−i−i−i3i00-31111-300-31111-3003-1-1-1-13003i−i−i−i−i3i00−3iiiii−3i00
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
χ7712-412-4-4-400-31-311100000000000000000000000000-124-12444003-13-1-1-100000000000000000000000000
χ7812-4-412-4-400-311-31100000000000000000000000000-1244-1244003-1-13-1-100000000000000000000000000
χ7912-4-4-412-400-3111-3100000000000000000000000000-12444-124003-1-1-13-100000000000000000000000000
χ8012-4-4-4-41200-31111-300000000000000000000000000-124444-12003-1-1-1-1300000000000000000000000000

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