Finite Group Databasebeta

← Group #14512405

Character table — Group #14512405

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size1111666666888812124444242424242424323232324848555530303030303040404040606055553030303030304040404060605555303030303030404040406060
order12442444443612128851020201020202020201530606040402244244444661212884444444444121212128844444444441212121288
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1
χ311-1-1-11ii−i−i11-1-1i−i11-1-1-11ii−i−i11-1-1i−i11-1-1-11ii−i−i11-1-1i−i11-1-1-11ii−i−i11-1-1i−i11-1-1-11ii−i−i11-1-1i−i
χ411-1-1-11−i−iii11-1-1−ii11-1-1-11−i−iii11-1-1−ii11-1-1-11−i−iii11-1-1−ii11-1-1-11−i−iii11-1-1−ii11-1-1-11−i−iii11-1-1−ii
χ52222220000-1-1-1-1002222220000-1-1-1-1002222220000-1-1-1-1002222220000-1-1-1-1002222220000-1-1-1-100
χ622-2-2-220000-1-1110022-2-2-220000-1-1110022-2-2-220000-1-1110022-2-2-220000-1-1110022-2-2-220000-1-11100
χ72-22i−2i001+i−1−i1−i−1+i-11i−i002-22i−2i001+i−1−i1−i−1+i-11i−i002-22i−2i001+i−1−i1−i−1+i-11i−i002-22i−2i001+i−1−i1−i−1+i-11i−i002-22i−2i001+i−1−i1−i−1+i-11i−i00
χ82-22i−2i00−1−i1+i−1+i1−i-11i−i002-22i−2i00−1−i1+i−1+i1−i-11i−i002-22i−2i00−1−i1+i−1+i1−i-11i−i002-22i−2i00−1−i1+i−1+i1−i-11i−i002-22i−2i00−1−i1+i−1+i1−i-11i−i00
χ92-2−2i2i001−i−1+i1+i−1−i-11−ii002-2−2i2i001−i−1+i1+i−1−i-11−ii002-2−2i2i001−i−1+i1+i−1−i-11−ii002-2−2i2i001−i−1+i1+i−1−i-11−ii002-2−2i2i001−i−1+i1+i−1−i-11−ii00
χ102-2−2i2i00−1+i1−i−1−i1+i-11−ii002-2−2i2i00−1+i1−i−1−i1+i-11−ii002-2−2i2i00−1+i1−i−1−i1+i-11−ii002-2−2i2i00−1+i1−i−1−i1+i-11−ii002-2−2i2i00−1+i1−i−1−i1+i-11−ii00
χ113333-1-111110000-1-13333-1-111110000-1-13333-1-111110000-1-13333-1-111110000-1-13333-1-111110000-1-1
χ123333-1-1-1-1-1-10000113333-1-1-1-1-1-10000113333-1-1-1-1-1-10000113333-1-1-1-1-1-10000113333-1-1-1-1-1-1000011
χ1333-3-31-1ii−i−i0000−ii33-3-31-1ii−i−i0000−ii33-3-31-1ii−i−i0000−ii33-3-31-1ii−i−i0000−ii33-3-31-1ii−i−i0000−ii
χ1433-3-31-1−i−iii0000i−i33-3-31-1−i−iii0000i−i33-3-31-1−i−iii0000i−i33-3-31-1−i−iii0000i−i33-3-31-1−i−iii0000i−i
χ154-44i−4i0000001-1−ii004-44i−4i0000001-1−ii004-44i−4i0000001-1−ii004-44i−4i0000001-1−ii004-44i−4i0000001-1−ii00
χ164-4−4i4i0000001-1i−i004-4−4i4i0000001-1i−i004-4−4i4i0000001-1i−i004-4−4i4i0000001-1i−i004-4−4i4i0000001-1i−i00
χ17111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ18111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111
χ1911-1-1-11ii−i−i11-1-1i−i11-1-1-11ii−i−i11-1-1i−i11-1-1-11ii−i−i11-1-1i−i-1-1111-1−i−iii-1-111−ii-1-1111-1−i−iii-1-111−ii
χ2011-1-1-11−i−iii11-1-1−ii11-1-1-11−i−iii11-1-1−ii11-1-1-11−i−iii11-1-1−ii-1-1111-1ii−i−i-1-111i−i-1-1111-1ii−i−i-1-111i−i
χ212222220000-1-1-1-1002222220000-1-1-1-1002222220000-1-1-1-100-2-2-2-2-2-20000111100-2-2-2-2-2-20000111100
χ2222-2-2-220000-1-1110022-2-2-220000-1-1110022-2-2-220000-1-11100-2-2222-2000011-1-100-2-2222-2000011-1-100
χ232-22i−2i001+i−1−i1−i−1+i-11i−i002-22i−2i001+i−1−i1−i−1+i-11i−i002-22i−2i001+i−1−i1−i−1+i-11i−i00-22−2i2i00−1−i1+i−1+i1−i1-1−ii00-22−2i2i00−1−i1+i−1+i1−i1-1−ii00
χ242-22i−2i00−1−i1+i−1+i1−i-11i−i002-22i−2i00−1−i1+i−1+i1−i-11i−i002-22i−2i00−1−i1+i−1+i1−i-11i−i00-22−2i2i001+i−1−i1−i−1+i1-1−ii00-22−2i2i001+i−1−i1−i−1+i1-1−ii00
χ252-2−2i2i001−i−1+i1+i−1−i-11−ii002-2−2i2i001−i−1+i1+i−1−i-11−ii002-2−2i2i001−i−1+i1+i−1−i-11−ii00-222i−2i00−1+i1−i−1−i1+i1-1i−i00-222i−2i00−1+i1−i−1−i1+i1-1i−i00
χ262-2−2i2i00−1+i1−i−1−i1+i-11−ii002-2−2i2i00−1+i1−i−1−i1+i-11−ii002-2−2i2i00−1+i1−i−1−i1+i-11−ii00-222i−2i001−i−1+i1+i−1−i1-1i−i00-222i−2i001−i−1+i1+i−1−i1-1i−i00
χ273333-1-111110000-1-13333-1-111110000-1-13333-1-111110000-1-1-3-3-3-311-1-1-1-1000011-3-3-3-311-1-1-1-1000011
χ283333-1-1-1-1-1-10000113333-1-1-1-1-1-10000113333-1-1-1-1-1-1000011-3-3-3-31111110000-1-1-3-3-3-31111110000-1-1
χ2933-3-31-1ii−i−i0000−ii33-3-31-1ii−i−i0000−ii33-3-31-1ii−i−i0000−ii-3-333-11−i−iii0000i−i-3-333-11−i−iii0000i−i
χ3033-3-31-1−i−iii0000i−i33-3-31-1−i−iii0000i−i33-3-31-1−i−iii0000i−i-3-333-11ii−i−i0000−ii-3-333-11ii−i−i0000−ii
χ314-44i−4i0000001-1−ii004-44i−4i0000001-1−ii004-44i−4i0000001-1−ii00-44−4i4i000000-11i−i00-44−4i4i000000-11i−i00
χ324-4−4i4i0000001-1i−i004-4−4i4i0000001-1i−i004-4−4i4i0000001-1i−i00-444i−4i000000-11−ii00-444i−4i000000-11−ii00
χ3311111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ34111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111iiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iii
χ3511-1-1-11ii−i−i11-1-1i−i11-1-1-11ii−i−i11-1-1i−i-1-1111-1−i−iii-1-111−iiii−i−i−ii-1-111ii−i−i-11−i−iiii−i11-1-1−i−iii1-1
χ3611-1-1-11−i−iii11-1-1−ii11-1-1-11−i−iii11-1-1−ii-1-1111-1ii−i−i-1-111i−iii−i−i−ii11-1-1ii−i−i1-1−i−iiii−i-1-111−i−iii-11
χ372222220000-1-1-1-1002222220000-1-1-1-100-2-2-2-2-2-200001111002i2i2i2i2i2i0000−i−i−i−i00−2i−2i−2i−2i−2i−2i0000iiii00
χ3822-2-2-220000-1-1110022-2-2-220000-1-11100-2-2222-2000011-1-1002i2i−2i−2i−2i2i0000−i−iii00−2i−2i2i2i2i−2i0000ii−i−i00
χ392-22i−2i001+i−1−i1−i−1+i-11i−i002-22i−2i001+i−1−i1−i−1+i-11i−i00-22−2i2i00−1−i1+i−1+i1−i1-1−ii002i−2i-2200−1+i1−i1+i−1−i−ii-1100−2i2i2-2001−i−1+i−1−i1+ii−i1-100
χ402-22i−2i00−1−i1+i−1+i1−i-11i−i002-22i−2i00−1−i1+i−1+i1−i-11i−i00-22−2i2i001+i−1−i1−i−1+i1-1−ii002i−2i-22001−i−1+i−1−i1+i−ii-1100−2i2i2-200−1+i1−i1+i−1−ii−i1-100
χ412-2−2i2i001−i−1+i1+i−1−i-11−ii002-2−2i2i001−i−1+i1+i−1−i-11−ii00-222i−2i00−1+i1−i−1−i1+i1-1i−i002i−2i2-2001+i−1−i−1+i1−i−ii1-100−2i2i-2200−1−i1+i1−i−1+ii−i-1100
χ422-2−2i2i00−1+i1−i−1−i1+i-11−ii002-2−2i2i00−1+i1−i−1−i1+i-11−ii00-222i−2i001−i−1+i1+i−1−i1-1i−i002i−2i2-200−1−i1+i1−i−1+i−ii1-100−2i2i-22001+i−1−i−1+i1−ii−i-1100
χ433333-1-111110000-1-13333-1-111110000-1-1-3-3-3-311-1-1-1-10000113i3i3i3i−i−iiiii0000−i−i−3i−3i−3i−3iii−i−i−i−i0000ii
χ443333-1-1-1-1-1-10000113333-1-1-1-1-1-1000011-3-3-3-31111110000-1-13i3i3i3i−i−i−i−i−i−i0000ii−3i−3i−3i−3iiiiiii0000−i−i
χ4533-3-31-1ii−i−i0000−ii33-3-31-1ii−i−i0000−ii-3-333-11−i−iii0000i−i3i3i−3i−3ii−i-1-11100001-1−3i−3i3i3i−ii11-1-10000-11
χ4633-3-31-1−i−iii0000i−i33-3-31-1−i−iii0000i−i-3-333-11ii−i−i0000−ii3i3i−3i−3ii−i11-1-10000-11−3i−3i3i3i−ii-1-11100001-1
χ474-44i−4i0000001-1−ii004-44i−4i0000001-1−ii00-44−4i4i000000-11i−i004i−4i-44000000i−i1-100−4i4i4-4000000−ii-1100
χ484-4−4i4i0000001-1i−i004-4−4i4i0000001-1i−i00-444i−4i000000-11−ii004i−4i4-4000000i−i-1100−4i4i-44000000−ii1-100
χ4911111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii
χ50111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i
χ5111-1-1-11ii−i−i11-1-1i−i11-1-1-11ii−i−i11-1-1i−i-1-1111-1−i−iii-1-111−ii−i−iiii−i11-1-1−i−iii1-1ii−i−i−ii-1-111ii−i−i-11
χ5211-1-1-11−i−iii11-1-1−ii11-1-1-11−i−iii11-1-1−ii-1-1111-1ii−i−i-1-111i−i−i−iiii−i-1-111−i−iii-11ii−i−i−ii11-1-1ii−i−i1-1
χ532222220000-1-1-1-1002222220000-1-1-1-100-2-2-2-2-2-20000111100−2i−2i−2i−2i−2i−2i0000iiii002i2i2i2i2i2i0000−i−i−i−i00
χ5422-2-2-220000-1-1110022-2-2-220000-1-11100-2-2222-2000011-1-100−2i−2i2i2i2i−2i0000ii−i−i002i2i−2i−2i−2i2i0000−i−iii00
χ552-22i−2i001+i−1−i1−i−1+i-11i−i002-22i−2i001+i−1−i1−i−1+i-11i−i00-22−2i2i00−1−i1+i−1+i1−i1-1−ii00−2i2i2-2001−i−1+i−1−i1+ii−i1-1002i−2i-2200−1+i1−i1+i−1−i−ii-1100
χ562-22i−2i00−1−i1+i−1+i1−i-11i−i002-22i−2i00−1−i1+i−1+i1−i-11i−i00-22−2i2i001+i−1−i1−i−1+i1-1−ii00−2i2i2-200−1+i1−i1+i−1−ii−i1-1002i−2i-22001−i−1+i−1−i1+i−ii-1100
χ572-2−2i2i001−i−1+i1+i−1−i-11−ii002-2−2i2i001−i−1+i1+i−1−i-11−ii00-222i−2i00−1+i1−i−1−i1+i1-1i−i00−2i2i-2200−1−i1+i1−i−1+ii−i-11002i−2i2-2001+i−1−i−1+i1−i−ii1-100
χ582-2−2i2i00−1+i1−i−1−i1+i-11−ii002-2−2i2i00−1+i1−i−1−i1+i-11−ii00-222i−2i001−i−1+i1+i−1−i1-1i−i00−2i2i-22001+i−1−i−1+i1−ii−i-11002i−2i2-200−1−i1+i1−i−1+i−ii1-100
χ593333-1-111110000-1-13333-1-111110000-1-1-3-3-3-311-1-1-1-1000011−3i−3i−3i−3iii−i−i−i−i0000ii3i3i3i3i−i−iiiii0000−i−i
χ603333-1-1-1-1-1-10000113333-1-1-1-1-1-1000011-3-3-3-31111110000-1-1−3i−3i−3i−3iiiiiii0000−i−i3i3i3i3i−i−i−i−i−i−i0000ii
χ6133-3-31-1ii−i−i0000−ii33-3-31-1ii−i−i0000−ii-3-333-11−i−iii0000i−i−3i−3i3i3i−ii11-1-10000-113i3i−3i−3ii−i-1-11100001-1
χ6233-3-31-1−i−iii0000i−i33-3-31-1−i−iii0000i−i-3-333-11ii−i−i0000−ii−3i−3i3i3i−ii-1-11100001-13i3i−3i−3ii−i11-1-10000-11
χ634-44i−4i0000001-1−ii004-44i−4i0000001-1−ii00-44−4i4i000000-11i−i00−4i4i4-4000000−ii-11004i−4i-44000000i−i1-100
χ644-4−4i4i0000001-1i−i004-4−4i4i0000001-1i−i00-444i−4i000000-11−ii00−4i4i-44000000−ii1-1004i−4i4-4000000i−i-1100
χ654444444444444444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000
χ66444444-4-4-4-44444-4-4-1-1-1-1-1-11111-1-1-1-111000000000000000000000000000000000000000000000000
χ6744-4-4-444i4i−4i−4i44-4-44i−4i-1-1111-1−i−iii-1-111−ii000000000000000000000000000000000000000000000000
χ6844-4-4-44−4i−4i4i4i44-4-4−4i4i-1-1111-1ii−i−i-1-111i−i000000000000000000000000000000000000000000000000
χ698888880000-4-4-4-400-2-2-2-2-2-20000111100000000000000000000000000000000000000000000000000
χ7088-8-8-880000-4-44400-2-2222-2000011-1-100000000000000000000000000000000000000000000000000
χ718-88i−8i004+4i−4−4i4−4i−4+4i-444i−4i00-22−2i2i00−1−i1+i−1+i1−i1-1−ii00000000000000000000000000000000000000000000000000
χ728-88i−8i00−4−4i4+4i−4+4i4−4i-444i−4i00-22−2i2i001+i−1−i1−i−1+i1-1−ii00000000000000000000000000000000000000000000000000
χ738-8−8i8i004−4i−4+4i4+4i−4−4i-44−4i4i00-222i−2i00−1+i1−i−1−i1+i1-1i−i00000000000000000000000000000000000000000000000000
χ748-8−8i8i00−4+4i4−4i−4−4i4+4i-44−4i4i00-222i−2i001−i−1+i1+i−1−i1-1i−i00000000000000000000000000000000000000000000000000
χ7512121212-4-444440000-4-4-3-3-3-311-1-1-1-1000011000000000000000000000000000000000000000000000000
χ7612121212-4-4-4-4-4-4000044-3-3-3-31111110000-1-1000000000000000000000000000000000000000000000000
χ771212-12-124-44i4i−4i−4i0000−4i4i-3-333-11−i−iii0000i−i000000000000000000000000000000000000000000000000
χ781212-12-124-4−4i−4i4i4i00004i−4i-3-333-11ii−i−i0000−ii000000000000000000000000000000000000000000000000
χ7916-1616i−16i0000004-4−4i4i00-44−4i4i000000-11i−i00000000000000000000000000000000000000000000000000
χ8016-16−16i16i0000004-44i−4i00-444i−4i000000-11−ii00000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).