Finite Group Databasebeta

← Group #14514804

Character table — Group #14514804

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70
size1110101515202020202424303011101015152020202024243030222020303040404040484860602220203030404040404848606022202030304040404048486060
order12442236121251044224422661212101044444444121212122020444444441212121220204444444412121212202044
χ11111111111111111111111111111111111111111111111111111111111111111111111
χ211-1-11111-1-111-1-111-1-11111-1-111-1-111-1-11111-1-111-1-111-1-11111-1-111-1-111-1-11111-1-111-1-1
χ31-1i−i1-11-1i−i1-1i−i1-1i−i1-11-1i−i1-1i−i1-1i−i1-11-1i−i1-1i−i1-1i−i1-11-1i−i1-1i−i1-1i−i1-11-1i−i1-1i−i
χ41-1−ii1-11-1−ii1-1−ii1-1−ii1-11-1−ii1-1−ii1-1−ii1-11-1−ii1-1−ii1-1−ii1-11-1−ii1-1−ii1-1−ii1-11-1−ii1-1−ii
χ544220011-1-1-1-10044220011-1-1-1-10044220011-1-1-1-10044220011-1-1-1-10044220011-1-1-1-100
χ644-2-2001111-1-10044-2-2001111-1-10044-2-2001111-1-10044-2-2001111-1-10044-2-2001111-1-100
χ74-42i−2i001-1−ii-11004-42i−2i001-1−ii-11004-42i−2i001-1−ii-11004-42i−2i001-1−ii-11004-42i−2i001-1−ii-1100
χ84-4−2i2i001-1i−i-11004-4−2i2i001-1i−i-11004-4−2i2i001-1i−i-11004-4−2i2i001-1i−i-11004-4−2i2i001-1i−i-1100
χ9551111-1-11100-1-1551111-1-11100-1-1551111-1-11100-1-1551111-1-11100-1-1551111-1-11100-1-1
χ1055-1-111-1-1-1-1001155-1-111-1-1-1-1001155-1-111-1-1-1-1001155-1-111-1-1-1-1001155-1-111-1-1-1-10011
χ115-5i−i1-1-11i−i00−ii5-5i−i1-1-11i−i00−ii5-5i−i1-1-11i−i00−ii5-5i−i1-1-11i−i00−ii5-5i−i1-1-11i−i00−ii
χ125-5−ii1-1-11−ii00i−i5-5−ii1-1-11−ii00i−i5-5−ii1-1-11−ii00i−i5-5−ii1-1-11−ii00i−i5-5−ii1-1-11−ii00i−i
χ136600-2-2000011006600-2-2000011006600-2-2000011006600-2-2000011006600-2-200001100
χ146-600-2200001-1006-600-2200001-1006-600-2200001-1006-600-2200001-1006-600-2200001-100
χ15111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ1611-1-11111-1-111-1-111-1-11111-1-111-1-111-1-11111-1-111-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-111-1-111
χ171-1i−i1-11-1i−i1-1i−i1-1i−i1-11-1i−i1-1i−i1-1i−i1-11-1i−i1-1i−i-11−ii-11-11−ii-11−ii-11−ii-11-11−ii-11−ii
χ181-1−ii1-11-1−ii1-1−ii1-1−ii1-11-1−ii1-1−ii1-1−ii1-11-1−ii1-1−ii-11i−i-11-11i−i-11i−i-11i−i-11-11i−i-11i−i
χ1944220011-1-1-1-10044220011-1-1-1-10044220011-1-1-1-100-4-4-2-200-1-1111100-4-4-2-200-1-1111100
χ2044-2-2001111-1-10044-2-2001111-1-10044-2-2001111-1-100-4-42200-1-1-1-11100-4-42200-1-1-1-11100
χ214-42i−2i001-1−ii-11004-42i−2i001-1−ii-11004-42i−2i001-1−ii-1100-44−2i2i00-11i−i1-100-44−2i2i00-11i−i1-100
χ224-4−2i2i001-1i−i-11004-4−2i2i001-1i−i-11004-4−2i2i001-1i−i-1100-442i−2i00-11−ii1-100-442i−2i00-11−ii1-100
χ23551111-1-11100-1-1551111-1-11100-1-1551111-1-11100-1-1-5-5-1-1-1-111-1-10011-5-5-1-1-1-111-1-10011
χ2455-1-111-1-1-1-1001155-1-111-1-1-1-1001155-1-111-1-1-1-10011-5-511-1-1111100-1-1-5-511-1-1111100-1-1
χ255-5i−i1-1-11i−i00−ii5-5i−i1-1-11i−i00−ii5-5i−i1-1-11i−i00−ii-55−ii-111-1−ii00i−i-55−ii-111-1−ii00i−i
χ265-5−ii1-1-11−ii00i−i5-5−ii1-1-11−ii00i−i5-5−ii1-1-11−ii00i−i-55i−i-111-1i−i00−ii-55i−i-111-1i−i00−ii
χ276600-2-2000011006600-2-2000011006600-2-200001100-6-600220000-1-100-6-600220000-1-100
χ286-600-2200001-1006-600-2200001-1006-600-2200001-100-66002-20000-1100-66002-20000-1100
χ291111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3011-1-11111-1-111-1-111-1-11111-1-111-1-1-1-111-1-1-1-111-1-11111-1-11111-1-111-1-1-1-111-1-1-1-111-1-111
χ311-1i−i1-11-1i−i1-1i−i1-1i−i1-11-1i−i1-1i−i-11−ii-11-11−ii-11−ii1-1i−i1-11-1i−i1-1i−i-11−ii-11-11−ii-11−ii
χ321-1−ii1-11-1−ii1-1−ii1-1−ii1-11-1−ii1-1−ii-11i−i-11-11i−i-11i−i1-1−ii1-11-1−ii1-1−ii-11i−i-11-11i−i-11i−i
χ3344220011-1-1-1-10044220011-1-1-1-100-4-4-2-200-1-111110044220011-1-1-1-100-4-4-2-200-1-1111100
χ3444-2-2001111-1-10044-2-2001111-1-100-4-42200-1-1-1-1110044-2-2001111-1-100-4-42200-1-1-1-11100
χ354-42i−2i001-1−ii-11004-42i−2i001-1−ii-1100-44−2i2i00-11i−i1-1004-42i−2i001-1−ii-1100-44−2i2i00-11i−i1-100
χ364-4−2i2i001-1i−i-11004-4−2i2i001-1i−i-1100-442i−2i00-11−ii1-1004-4−2i2i001-1i−i-1100-442i−2i00-11−ii1-100
χ37551111-1-11100-1-1551111-1-11100-1-1-5-5-1-1-1-111-1-10011551111-1-11100-1-1-5-5-1-1-1-111-1-10011
χ3855-1-111-1-1-1-1001155-1-111-1-1-1-10011-5-511-1-1111100-1-155-1-111-1-1-1-10011-5-511-1-1111100-1-1
χ395-5i−i1-1-11i−i00−ii5-5i−i1-1-11i−i00−ii-55−ii-111-1−ii00i−i5-5i−i1-1-11i−i00−ii-55−ii-111-1−ii00i−i
χ405-5−ii1-1-11−ii00i−i5-5−ii1-1-11−ii00i−i-55i−i-111-1i−i00−ii5-5−ii1-1-11−ii00i−i-55i−i-111-1i−i00−ii
χ416600-2-2000011006600-2-200001100-6-600220000-1-1006600-2-200001100-6-600220000-1-100
χ426-600-2200001-1006-600-2200001-100-66002-20000-11006-600-2200001-100-66002-20000-1100
χ431111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111
χ4411-1-11111-1-111-1-111-1-11111-1-111-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-111-1-11111-1-11111-1-111-1-1
χ451-1i−i1-11-1i−i1-1i−i1-1i−i1-11-1i−i1-1i−i-11−ii-11-11−ii-11−ii-11−ii-11-11−ii-11−ii1-1i−i1-11-1i−i1-1i−i
χ461-1−ii1-11-1−ii1-1−ii1-1−ii1-11-1−ii1-1−ii-11i−i-11-11i−i-11i−i-11i−i-11-11i−i-11i−i1-1−ii1-11-1−ii1-1−ii
χ4744220011-1-1-1-10044220011-1-1-1-100-4-4-2-200-1-1111100-4-4-2-200-1-111110044220011-1-1-1-100
χ4844-2-2001111-1-10044-2-2001111-1-100-4-42200-1-1-1-11100-4-42200-1-1-1-1110044-2-2001111-1-100
χ494-42i−2i001-1−ii-11004-42i−2i001-1−ii-1100-44−2i2i00-11i−i1-100-44−2i2i00-11i−i1-1004-42i−2i001-1−ii-1100
χ504-4−2i2i001-1i−i-11004-4−2i2i001-1i−i-1100-442i−2i00-11−ii1-100-442i−2i00-11−ii1-1004-4−2i2i001-1i−i-1100
χ51551111-1-11100-1-1551111-1-11100-1-1-5-5-1-1-1-111-1-10011-5-5-1-1-1-111-1-10011551111-1-11100-1-1
χ5255-1-111-1-1-1-1001155-1-111-1-1-1-10011-5-511-1-1111100-1-1-5-511-1-1111100-1-155-1-111-1-1-1-10011
χ535-5i−i1-1-11i−i00−ii5-5i−i1-1-11i−i00−ii-55−ii-111-1−ii00i−i-55−ii-111-1−ii00i−i5-5i−i1-1-11i−i00−ii
χ545-5−ii1-1-11−ii00i−i5-5−ii1-1-11−ii00i−i-55i−i-111-1i−i00−ii-55i−i-111-1i−i00−ii5-5−ii1-1-11−ii00i−i
χ556600-2-2000011006600-2-200001100-6-600220000-1-100-6-600220000-1-1006600-2-200001100
χ566-600-2200001-1006-600-2200001-100-66002-20000-1100-66002-20000-11006-600-2200001-100
χ5722222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000
χ5822-2-22222-2-222-2-2-2-222-2-2-2-222-2-222000000000000000000000000000000000000000000
χ592-22i−2i2-22-22i−2i2-22i−2i-22−2i2i-22-22−2i2i-22−2i2i000000000000000000000000000000000000000000
χ602-2−2i2i2-22-2−2i2i2-2−2i2i-222i−2i-22-222i−2i-222i−2i000000000000000000000000000000000000000000
χ6188440022-2-2-2-200-8-8-4-400-2-2222200000000000000000000000000000000000000000000
χ6288-4-4002222-2-200-8-84400-2-2-2-22200000000000000000000000000000000000000000000
χ638-84i−4i002-2−2i2i-2200-88−4i4i00-222i−2i2-200000000000000000000000000000000000000000000
χ648-8−4i4i002-22i−2i-2200-884i−4i00-22−2i2i2-200000000000000000000000000000000000000000000
χ6510102222-2-22200-2-2-10-10-2-2-2-222-2-20022000000000000000000000000000000000000000000
χ661010-2-222-2-2-2-20022-10-1022-2-2222200-2-2000000000000000000000000000000000000000000
χ6710-102i−2i2-2-222i−2i00−2i2i-1010−2i2i-222-2−2i2i002i−2i000000000000000000000000000000000000000000
χ6810-10−2i2i2-2-22−2i2i002i−2i-10102i−2i-222-22i−2i00−2i2i000000000000000000000000000000000000000000
χ69121200-4-400002200-12-1200440000-2-200000000000000000000000000000000000000000000
χ7012-1200-4400002-200-1212004-40000-2200000000000000000000000000000000000000000000

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