Finite Group Databasebeta

← Group #72239165

Character table — Group #72239165

Order 3072.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size113333333333441212121212121212121212121212121212122424242424242424242424242424242424242424242424242424242424242424256256256256256256256256
order122244444444222222444444444444448888888888888888888888888888888833666666
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ31111111111111111111111111111111111111111111111111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ4111111111111-1-111-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-1
χ5111111111111-1-111-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32
χ6111111111111-1-111-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32
χ733333333333333333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000
χ833333333333333-1-1-1-1-1-1-1-1-1-133-1-1-1-1-1-13333-1-1-1-1-1-1-1-1-1-1-1-13333-1-1-1-1-1-1-1-1-1-1-1-100000000
χ933333333333333-1-1-1-1-1-1-1-1-1-133-1-1-1-1-1-1-1-1-1-13333-1-1-1-1-1-1-1-1-1-1-1-13333-1-1-1-1-1-1-1-100000000
χ1033333333333333-1-1-1-1-1-1-1-1-1-133-1-1-1-1-1-1-1-1-1-1-1-1-1-13333-1-1-1-1-1-1-1-1-1-1-1-13333-1-1-1-100000000
χ1133333333333333-1-1-1-1-1-1-1-1-1-133-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-13333-1-1-1-1-1-1-1-1-1-1-1-1333300000000
χ12333333333333-3-333-3-3333333-3-3-3-3-3-3-3-3-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111100000000
χ13333333333333-3-3-1-111-1-1-1-1-1-1-3-31111113333-1-1-1-1-1-1-1-1-1-1-1-1-3-3-3-311111111111100000000
χ14333333333333-3-3-1-111-1-1-1-1-1-1-3-3111111-1-1-1-13333-1-1-1-1-1-1-1-11111-3-3-3-31111111100000000
χ15333333333333-3-3-1-111-1-1-1-1-1-1-3-3111111-1-1-1-1-1-1-1-13333-1-1-1-111111111-3-3-3-3111100000000
χ16333333333333-3-3-1-111-1-1-1-1-1-1-3-3111111-1-1-1-1-1-1-1-1-1-1-1-13333111111111111-3-3-3-300000000
χ173333-1-1-1-1-1-1-1-1333333-1-1-1-1-1-1-1-1-1-1-1-1-1-111−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i00000000
χ183333-1-1-1-1-1-1-1-1333333-1-1-1-1-1-1-1-1-1-1-1-1-1-111−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i00000000
χ193333-1-1-1-1-1-1-1-1333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i1100000000
χ203333-1-1-1-1-1-1-1-1333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i1100000000
χ213333-1-1-1-1-1-1-1-133-1-1-1-133-1-1-1-1-1-133-1-1-1-111−1+2i−1−2i11−1−2i−1+2i−1+2i−1−2i11−1−2i−1+2i1111−1+2i−1−2i11−1−2i−1+2i−1+2i−1−2i11−1−2i−1+2i1100000000
χ223333-1-1-1-1-1-1-1-133-1-1-1-133-1-1-1-1-1-133-1-1-1-111−1−2i−1+2i11−1+2i−1−2i−1−2i−1+2i11−1+2i−1−2i1111−1−2i−1+2i11−1+2i−1−2i−1−2i−1+2i11−1+2i−1−2i1100000000
χ233333-1-1-1-1-1-1-1-133-1-1-1-133-1-1-1-1-1-133-1-1-1-1−1+2i−1−2i11−1−2i−1+2i1111−1+2i−1−2i11−1−2i−1+2i−1+2i−1−2i11−1−2i−1+2i1111−1+2i−1−2i11−1−2i−1+2i00000000
χ243333-1-1-1-1-1-1-1-133-1-1-1-133-1-1-1-1-1-133-1-1-1-1−1−2i−1+2i11−1+2i−1−2i1111−1−2i−1+2i11−1+2i−1−2i−1−2i−1+2i11−1+2i−1−2i1111−1−2i−1+2i11−1+2i−1−2i00000000
χ253333-1-1-1-1-1-1-1-133-1-1-1-1-1-133-1-1-1-1-1-133-1-111−1+2i−1−2i−1+2i−1−2i11−1−2i−1+2i1111−1−2i−1+2i11−1+2i−1−2i−1+2i−1−2i11−1−2i−1+2i1111−1−2i−1+2i00000000
χ263333-1-1-1-1-1-1-1-133-1-1-1-1-1-133-1-1-1-1-1-133-1-111−1−2i−1+2i−1−2i−1+2i11−1+2i−1−2i1111−1+2i−1−2i11−1−2i−1+2i−1−2i−1+2i11−1+2i−1−2i1111−1+2i−1−2i00000000
χ273333-1-1-1-1-1-1-1-133-1-1-1-1-1-133-1-1-1-1-1-133-1-1−1+2i−1−2i1111−1+2i−1−2i11−1−2i−1+2i−1−2i−1+2i11−1+2i−1−2i1111−1+2i−1−2i11−1−2i−1+2i−1−2i−1+2i1100000000
χ283333-1-1-1-1-1-1-1-133-1-1-1-1-1-133-1-1-1-1-1-133-1-1−1−2i−1+2i1111−1−2i−1+2i11−1+2i−1−2i−1+2i−1−2i11−1−2i−1+2i1111−1−2i−1+2i11−1+2i−1−2i−1+2i−1−2i1100000000
χ293333-1-1-1-1-1-1-1-133-1-1-1-1-1-1-1-133-1-1-1-1-1-13311−1+2i−1−2i−1−2i−1+2i1111−1−2i−1+2i−1+2i−1−2i1111−1+2i−1−2i−1−2i−1+2i1111−1−2i−1+2i−1+2i−1−2i1100000000
χ303333-1-1-1-1-1-1-1-133-1-1-1-1-1-1-1-133-1-1-1-1-1-13311−1−2i−1+2i−1+2i−1−2i1111−1+2i−1−2i−1−2i−1+2i1111−1−2i−1+2i−1+2i−1−2i1111−1+2i−1−2i−1−2i−1+2i1100000000
χ313333-1-1-1-1-1-1-1-133-1-1-1-1-1-1-1-133-1-1-1-1-1-133−1+2i−1−2i1111−1−2i−1+2i−1−2i−1+2i1111−1+2i−1−2i−1+2i−1−2i1111−1−2i−1+2i−1−2i−1+2i1111−1+2i−1−2i00000000
χ323333-1-1-1-1-1-1-1-133-1-1-1-1-1-1-1-133-1-1-1-1-1-133−1−2i−1+2i1111−1+2i−1−2i−1+2i−1−2i1111−1−2i−1+2i−1−2i−1+2i1111−1+2i−1−2i−1+2i−1−2i1111−1−2i−1+2i00000000
χ333333-1-1-1-1-1-1-1-1-3-333-3-3-1-1-1-1-1-11111111111−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i-1-11−2i1+2i-1-11−2i1+2i-1-11−2i1+2i-1-11−2i1+2i00000000
χ343333-1-1-1-1-1-1-1-1-3-333-3-3-1-1-1-1-1-11111111111−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i-1-11+2i1−2i-1-11+2i1−2i-1-11+2i1−2i-1-11+2i1−2i00000000
χ353333-1-1-1-1-1-1-1-1-3-333-3-3-1-1-1-1-1-111111111−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i111−2i1+2i-1-11−2i1+2i-1-11−2i1+2i-1-11−2i1+2i-1-100000000
χ363333-1-1-1-1-1-1-1-1-3-333-3-3-1-1-1-1-1-111111111−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i111+2i1−2i-1-11+2i1−2i-1-11+2i1−2i-1-11+2i1−2i-1-100000000
χ373333-1-1-1-1-1-1-1-1-3-3-1-11133-1-1-1-111-3-3111111−1+2i−1−2i11−1−2i−1+2i−1+2i−1−2i11−1−2i−1+2i11-1-11−2i1+2i-1-11+2i1−2i1−2i1+2i-1-11+2i1−2i-1-100000000
χ383333-1-1-1-1-1-1-1-1-3-3-1-11133-1-1-1-111-3-3111111−1−2i−1+2i11−1+2i−1−2i−1−2i−1+2i11−1+2i−1−2i11-1-11+2i1−2i-1-11−2i1+2i1+2i1−2i-1-11−2i1+2i-1-100000000
χ393333-1-1-1-1-1-1-1-1-3-3-1-11133-1-1-1-111-3-31111−1+2i−1−2i11−1−2i−1+2i1111−1+2i−1−2i11−1−2i−1+2i1−2i1+2i-1-11+2i1−2i-1-1-1-11−2i1+2i-1-11+2i1−2i00000000
χ403333-1-1-1-1-1-1-1-1-3-3-1-11133-1-1-1-111-3-31111−1−2i−1+2i11−1+2i−1−2i1111−1−2i−1+2i11−1+2i−1−2i1+2i1−2i-1-11−2i1+2i-1-1-1-11+2i1−2i-1-11−2i1+2i00000000
χ413333-1-1-1-1-1-1-1-1-3-3-1-111-1-133-1-11111-3-31111−1+2i−1−2i−1+2i−1−2i11−1−2i−1+2i1111−1−2i−1+2i-1-11−2i1+2i1−2i1+2i-1-11+2i1−2i-1-1-1-11+2i1−2i00000000
χ423333-1-1-1-1-1-1-1-1-3-3-1-111-1-133-1-11111-3-31111−1−2i−1+2i−1−2i−1+2i11−1+2i−1−2i1111−1+2i−1−2i-1-11+2i1−2i1+2i1−2i-1-11−2i1+2i-1-1-1-11−2i1+2i00000000
χ433333-1-1-1-1-1-1-1-1-3-3-1-111-1-133-1-11111-3-311−1+2i−1−2i1111−1+2i−1−2i11−1−2i−1+2i−1−2i−1+2i111−2i1+2i-1-1-1-11−2i1+2i-1-11+2i1−2i1+2i1−2i-1-100000000
χ443333-1-1-1-1-1-1-1-1-3-3-1-111-1-133-1-11111-3-311−1−2i−1+2i1111−1−2i−1+2i11−1+2i−1−2i−1+2i−1−2i111+2i1−2i-1-1-1-11+2i1−2i-1-11−2i1+2i1−2i1+2i-1-100000000
χ453333-1-1-1-1-1-1-1-1-3-3-1-111-1-1-1-133111111-3-311−1+2i−1−2i−1−2i−1+2i1111−1−2i−1+2i−1+2i−1−2i11-1-11−2i1+2i1+2i1−2i-1-1-1-11+2i1−2i1−2i1+2i-1-100000000
χ463333-1-1-1-1-1-1-1-1-3-3-1-111-1-1-1-133111111-3-311−1−2i−1+2i−1+2i−1−2i1111−1+2i−1−2i−1−2i−1+2i11-1-11+2i1−2i1−2i1+2i-1-1-1-11−2i1+2i1+2i1−2i-1-100000000
χ473333-1-1-1-1-1-1-1-1-3-3-1-111-1-1-1-133111111-3-3−1+2i−1−2i1111−1−2i−1+2i−1−2i−1+2i1111−1+2i−1−2i1−2i1+2i-1-1-1-11+2i1−2i1+2i1−2i-1-1-1-11−2i1+2i00000000
χ483333-1-1-1-1-1-1-1-1-3-3-1-111-1-1-1-133111111-3-3−1−2i−1+2i1111−1+2i−1−2i−1+2i−1−2i1111−1−2i−1+2i1+2i1−2i-1-1-1-11−2i1+2i1−2i1+2i-1-1-1-11+2i1−2i00000000
χ494-4-444444-4-4-4-44-400000000004-40000000000000000000000000000000000000011-11-1-11-1
χ504-4-444444-4-4-4-44-400000000004-400000000000000000000000000000000000000−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i32
χ514-4-444444-4-4-4-44-400000000004-400000000000000000000000000000000000000−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i32
χ524-4-444444-4-4-4-4-440000000000-440000000000000000000000000000000000000011-1-11-1-11
χ534-4-444444-4-4-4-4-440000000000-4400000000000000000000000000000000000000−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i32
χ544-4-444444-4-4-4-4-440000000000-4400000000000000000000000000000000000000−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i32
χ551212-4-444−4+8i−4−8i44−4+8i−4−8i00004-4000000004i−4i4-44i−4i0000000000000000000000000000000000000000
χ561212-4-444−4+8i−4−8i44−4+8i−4−8i0000-4400000000−4i4i-44−4i4i0000000000000000000000000000000000000000
χ571212-4-444−4−8i−4+8i44−4−8i−4+8i00004-400000000−4i4i4-4−4i4i0000000000000000000000000000000000000000
χ581212-4-444−4−8i−4+8i44−4−8i−4+8i0000-44000000004i−4i-444i−4i0000000000000000000000000000000000000000
χ591212-4-4−4+8i−4−8i44−4+8i−4−8i4400004-4000000004i−4i-44−4i4i0000000000000000000000000000000000000000
χ601212-4-4−4+8i−4−8i44−4+8i−4−8i440000-4400000000−4i4i4-44i−4i0000000000000000000000000000000000000000
χ611212-4-4−4−8i−4+8i44−4−8i−4+8i4400004-400000000−4i4i-444i−4i0000000000000000000000000000000000000000
χ621212-4-4−4−8i−4+8i44−4−8i−4+8i440000-44000000004i−4i4-4−4i4i0000000000000000000000000000000000000000
χ6312-124-444−4+8i−4−8i-4-44−8i4+8i004-4004i−4i4i−4i4-4000000000000000000000000000000000000000000000000
χ6412-124-444−4+8i−4−8i-4-44−8i4+8i00-4400−4i4i−4i4i-44000000000000000000000000000000000000000000000000
χ6512-124-444−4−8i−4+8i-4-44+8i4−8i004-400−4i4i−4i4i4-4000000000000000000000000000000000000000000000000
χ6612-124-444−4−8i−4+8i-4-44+8i4−8i00-44004i−4i4i−4i-44000000000000000000000000000000000000000000000000
χ6712-124-4−4+8i−4−8i444−8i4+8i-4-4004-400−4i4i4i−4i-44000000000000000000000000000000000000000000000000
χ6812-124-4−4+8i−4−8i444−8i4+8i-4-400-44004i−4i−4i4i4-4000000000000000000000000000000000000000000000000
χ6912-124-4−4−8i−4+8i444+8i4−8i-4-4004-4004i−4i−4i4i-44000000000000000000000000000000000000000000000000
χ7012-124-4−4−8i−4+8i444+8i4−8i-4-400-4400−4i4i4i−4i4-4000000000000000000000000000000000000000000000000
χ7112-12-1212-4-4-4-4444412-120000000000-440000000000000000000000000000000000000000000000
χ7212-12-1212-4-4-4-44444-121200000000004-40000000000000000000000000000000000000000000000

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