Finite Group Databasebeta

← Group #11709441

Character table — Group #11709441

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size111111111111111166666666121212121212121212121212121212121616161616161616161616161616161616161616161616161616161616161616
order122244448888888822448888444444448888888833666666121212121212121224242424242424242424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ31111111111111111111111111111111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ411111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ511111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32
χ611111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32
χ71-1-11-1-1111111-1-1-1-1-11-1111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ81-1-11-1-1111111-1-1-1-1-11-1111-1-11111-1-1-1-11111-1-1-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ91-1-11-1-1111111-1-1-1-1-11-1111-1-11111-1-1-1-11111-1-1-1-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ101-1-11-1-111-1-1-1-11111-11-11-1-111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ111-1-11-1-111-1-1-1-11111-11-11-1-111-1-1-1-111111111-1-1-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ121-1-11-1-111-1-1-1-11111-11-11-1-111-1-1-1-111111111-1-1-1-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ132222-2-2-2-22i2i−2i−2i2i2i−2i−2i22-2-22i−2i2i−2i0000000000000000-1-1-1-1-1-1-1-111111111ii−i−iii−i−iii−i−iii−i−i
χ142222-2-2-2-22i2i−2i−2i2i2i−2i−2i22-2-22i−2i2i−2i00000000000000001+i321−i321+i321+i321−i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14
χ152222-2-2-2-22i2i−2i−2i2i2i−2i−2i22-2-22i−2i2i−2i00000000000000001−i321+i321−i321−i321+i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22
χ162222-2-2-2-2−2i−2i2i2i−2i−2i2i2i22-2-2−2i2i−2i2i0000000000000000-1-1-1-1-1-1-1-111111111−i−iii−i−iii−i−iii−i−iii
χ172222-2-2-2-2−2i−2i2i2i−2i−2i2i2i22-2-2−2i2i−2i2i00000000000000001+i321−i321+i321+i321−i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14
χ182222-2-2-2-2−2i−2i2i2i−2i−2i2i2i22-2-2−2i2i−2i2i00000000000000001−i321+i321−i321−i321+i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22
χ192-2-2222-2-22i2i−2i−2i−2i−2i2i2i-222-22i−2i−2i2i0000000000000000-1-11111-1-1-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii
χ202-2-2222-2-22i2i−2i−2i−2i−2i2i2i-222-22i−2i−2i2i00000000000000001+i321−i32−1−i32−1−i32−1+i32−1+i321+i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14
χ212-2-2222-2-22i2i−2i−2i−2i−2i2i2i-222-22i−2i−2i2i00000000000000001−i321+i32−1+i32−1+i32−1−i32−1−i321−i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22
χ222-2-2222-2-2−2i−2i2i2i2i2i−2i−2i-222-2−2i2i2i−2i0000000000000000-1-11111-1-1-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i
χ232-2-2222-2-2−2i−2i2i2i2i2i−2i−2i-222-2−2i2i2i−2i00000000000000001+i321−i32−1−i32−1−i32−1+i32−1+i321+i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14
χ242-2-2222-2-2−2i−2i2i2i2i2i−2i−2i-222-2−2i2i2i−2i00000000000000001−i321+i32−1+i32−1+i32−1−i32−1−i321−i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22
χ25333333333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000
χ263333333333333333-1-1-1-1-1-1-1-111−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i00000000000000000000000000000000
χ273333333333333333-1-1-1-1-1-1-1-111−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i00000000000000000000000000000000
χ283333333333333333-1-1-1-1-1-1-1-1−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i1100000000000000000000000000000000
χ293333333333333333-1-1-1-1-1-1-1-1−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i1100000000000000000000000000000000
χ3033333333-3-3-3-3-3-3-3-33333-3-3-3-311111111-1-1-1-1-1-1-1-100000000000000000000000000000000
χ3133333333-3-3-3-3-3-3-3-3-1-1-1-11111-1-11+2i1−2i-1-11+2i1−2i11−1−2i−1+2i11−1−2i−1+2i00000000000000000000000000000000
χ3233333333-3-3-3-3-3-3-3-3-1-1-1-11111-1-11−2i1+2i-1-11−2i1+2i11−1+2i−1−2i11−1+2i−1−2i00000000000000000000000000000000
χ3333333333-3-3-3-3-3-3-3-3-1-1-1-111111+2i1−2i-1-11+2i1−2i-1-1−1−2i−1+2i11−1−2i−1+2i1100000000000000000000000000000000
χ3433333333-3-3-3-3-3-3-3-3-1-1-1-111111−2i1+2i-1-11−2i1+2i-1-1−1+2i−1−2i11−1+2i−1−2i1100000000000000000000000000000000
χ353-3-33-3-3333333-3-3-3-31-11-1-1-11111−1+2i−1−2i-1-11−2i1+2i11−1+2i−1−2i-1-11−2i1+2i00000000000000000000000000000000
χ363-3-33-3-3333333-3-3-3-31-11-1-1-11111−1−2i−1+2i-1-11+2i1−2i11−1−2i−1+2i-1-11+2i1−2i00000000000000000000000000000000
χ373-3-33-3-3333333-3-3-3-31-11-1-1-111−1+2i−1−2i111−2i1+2i-1-1−1+2i−1−2i111−2i1+2i-1-100000000000000000000000000000000
χ383-3-33-3-3333333-3-3-3-31-11-1-1-111−1−2i−1+2i111+2i1−2i-1-1−1−2i−1+2i111+2i1−2i-1-100000000000000000000000000000000
χ393-3-33-3-3333333-3-3-3-3-33-3333-3-3-1-1-1-11111-1-1-1-1111100000000000000000000000000000000
χ403-3-33-3-333-3-3-3-333331-11-111-1-1-1-11+2i1−2i11−1−2i−1+2i11−1−2i−1+2i-1-11+2i1−2i00000000000000000000000000000000
χ413-3-33-3-333-3-3-3-333331-11-111-1-1-1-11−2i1+2i11−1+2i−1−2i11−1+2i−1−2i-1-11−2i1+2i00000000000000000000000000000000
χ423-3-33-3-333-3-3-3-333331-11-111-1-11+2i1−2i-1-1−1−2i−1+2i11−1−2i−1+2i111+2i1−2i-1-100000000000000000000000000000000
χ433-3-33-3-333-3-3-3-333331-11-111-1-11−2i1+2i-1-1−1+2i−1−2i11−1+2i−1−2i111−2i1+2i-1-100000000000000000000000000000000
χ443-3-33-3-333-3-3-3-33333-33-33-3-3331111-1-1-1-1-1-1-1-1111100000000000000000000000000000000
χ4544-4-44i−4i4i−4i4ζ7+4ζ23−4ζ7−4ζ23−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ23−4ζ5−4ζ134ζ5+4ζ13000000000000000000000000111-11-1-1-1i−ii−ii−ii−i−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ4644-4-44i−4i4i−4i4ζ7+4ζ23−4ζ7−4ζ23−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ23−4ζ5−4ζ134ζ5+4ζ13000000000000000000000000−1−i32−1+i32−1−i321+i32−1+i321−i321+i321−i32ζ22−ζ22ζ14−ζ14ζ22−ζ22ζ14−ζ14ζ13−ζ13−ζ7ζ7ζ13−ζ13−ζ7ζ7ζ5−ζ5−ζ23ζ23ζ5−ζ5−ζ23ζ23
χ4744-4-44i−4i4i−4i4ζ7+4ζ23−4ζ7−4ζ23−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ23−4ζ5−4ζ134ζ5+4ζ13000000000000000000000000−1+i32−1−i32−1+i321−i32−1−i321+i321−i321+i32ζ14−ζ14ζ22−ζ22ζ14−ζ14ζ22−ζ22ζ5−ζ5−ζ23ζ23ζ5−ζ5−ζ23ζ23ζ13−ζ13−ζ7ζ7ζ13−ζ13−ζ7ζ7
χ4844-4-44i−4i4i−4i−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ13000000000000000000000000111-11-1-1-1i−ii−ii−ii−iζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
χ4944-4-44i−4i4i−4i−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ13000000000000000000000000−1−i32−1+i32−1−i321+i32−1+i321−i321+i321−i32ζ22−ζ22ζ14−ζ14ζ22−ζ22ζ14−ζ14−ζ13ζ13ζ7−ζ7−ζ13ζ13ζ7−ζ7−ζ5ζ5ζ23−ζ23−ζ5ζ5ζ23−ζ23
χ5044-4-44i−4i4i−4i−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ13000000000000000000000000−1+i32−1−i32−1+i321−i32−1−i321+i321−i321+i32ζ14−ζ14ζ22−ζ22ζ14−ζ14ζ22−ζ22−ζ5ζ5ζ23−ζ23−ζ5ζ5ζ23−ζ23−ζ13ζ13ζ7−ζ7−ζ13ζ13ζ7−ζ7
χ5144-4-4−4i4i−4i4i−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ23−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ23000000000000000000000000111-11-1-1-1−ii−ii−ii−iiζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ5244-4-4−4i4i−4i4i−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ23−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ23000000000000000000000000−1−i32−1+i32−1−i321+i32−1+i321−i321+i321−i32−ζ22ζ22−ζ14ζ14−ζ22ζ22−ζ14ζ14−ζ7ζ7ζ13−ζ13−ζ7ζ7ζ13−ζ13−ζ23ζ23ζ5−ζ5−ζ23ζ23ζ5−ζ5
χ5344-4-4−4i4i−4i4i−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ23−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ23000000000000000000000000−1+i32−1−i32−1+i321−i32−1−i321+i321−i321+i32−ζ14ζ14−ζ22ζ22−ζ14ζ14−ζ22ζ22−ζ23ζ23ζ5−ζ5−ζ23ζ23ζ5−ζ5−ζ7ζ7ζ13−ζ13−ζ7ζ7ζ13−ζ13
χ5444-4-4−4i4i−4i4i4ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ23000000000000000000000000111-11-1-1-1−ii−ii−ii−ii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ5544-4-4−4i4i−4i4i4ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ23000000000000000000000000−1−i32−1+i32−1−i321+i32−1+i321−i321+i321−i32−ζ22ζ22−ζ14ζ14−ζ22ζ22−ζ14ζ14ζ7−ζ7−ζ13ζ13ζ7−ζ7−ζ13ζ13ζ23−ζ23−ζ5ζ5ζ23−ζ23−ζ5ζ5
χ5644-4-4−4i4i−4i4i4ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ23000000000000000000000000−1+i32−1−i32−1+i321−i32−1−i321+i321−i321+i32−ζ14ζ14−ζ22ζ22−ζ14ζ14−ζ22ζ22ζ23−ζ23−ζ5ζ5ζ23−ζ23−ζ5ζ5ζ7−ζ7−ζ13ζ13ζ7−ζ7−ζ13ζ13
χ574-44-44i−4i−4i4i−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ234ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ2300000000000000000000000011-11-11-1-1i−ii−i−ii−iiζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ584-44-44i−4i−4i4i−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ234ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ23000000000000000000000000−1−i32−1+i321+i32−1−i321−i32−1+i321+i321−i32ζ22−ζ22ζ14−ζ14−ζ22ζ22−ζ14ζ14−ζ7ζ7ζ13−ζ13ζ7−ζ7−ζ13ζ13−ζ23ζ23ζ5−ζ5ζ23−ζ23−ζ5ζ5
χ594-44-44i−4i−4i4i−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ234ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ23000000000000000000000000−1+i32−1−i321−i32−1+i321+i32−1−i321−i321+i32ζ14−ζ14ζ22−ζ22−ζ14ζ14−ζ22ζ22−ζ23ζ23ζ5−ζ5ζ23−ζ23−ζ5ζ5−ζ7ζ7ζ13−ζ13ζ7−ζ7−ζ13ζ13
χ604-44-44i−4i−4i4i4ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ23−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ2300000000000000000000000011-11-11-1-1i−ii−i−ii−ii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ614-44-44i−4i−4i4i4ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ23−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ23000000000000000000000000−1−i32−1+i321+i32−1−i321−i32−1+i321+i321−i32ζ22−ζ22ζ14−ζ14−ζ22ζ22−ζ14ζ14ζ7−ζ7−ζ13ζ13−ζ7ζ7ζ13−ζ13ζ23−ζ23−ζ5ζ5−ζ23ζ23ζ5−ζ5
χ624-44-44i−4i−4i4i4ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ23−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ23000000000000000000000000−1+i32−1−i321−i32−1+i321+i32−1−i321−i321+i32ζ14−ζ14ζ22−ζ22−ζ14ζ14−ζ22ζ22ζ23−ζ23−ζ5ζ5−ζ23ζ23ζ5−ζ5ζ7−ζ7−ζ13ζ13−ζ7ζ7ζ13−ζ13
χ634-44-4−4i4i4i−4i4ζ7+4ζ23−4ζ7−4ζ23−4ζ5−4ζ134ζ5+4ζ13−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ1300000000000000000000000011-11-11-1-1−ii−iii−ii−i−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
χ644-44-4−4i4i4i−4i4ζ7+4ζ23−4ζ7−4ζ23−4ζ5−4ζ134ζ5+4ζ13−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ13000000000000000000000000−1−i32−1+i321+i32−1−i321−i32−1+i321+i321−i32−ζ22ζ22−ζ14ζ14ζ22−ζ22ζ14−ζ14ζ13−ζ13−ζ7ζ7−ζ13ζ13ζ7−ζ7ζ5−ζ5−ζ23ζ23−ζ5ζ5ζ23−ζ23
χ654-44-4−4i4i4i−4i4ζ7+4ζ23−4ζ7−4ζ23−4ζ5−4ζ134ζ5+4ζ13−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ13000000000000000000000000−1+i32−1−i321−i32−1+i321+i32−1−i321−i321+i32−ζ14ζ14−ζ22ζ22ζ14−ζ14ζ22−ζ22ζ5−ζ5−ζ23ζ23−ζ5ζ5ζ23−ζ23ζ13−ζ13−ζ7ζ7−ζ13ζ13ζ7−ζ7
χ664-44-4−4i4i4i−4i−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ134ζ7+4ζ23−4ζ7−4ζ23−4ζ5−4ζ134ζ5+4ζ1300000000000000000000000011-11-11-1-1−ii−iii−ii−iζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ674-44-4−4i4i4i−4i−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ134ζ7+4ζ23−4ζ7−4ζ23−4ζ5−4ζ134ζ5+4ζ13000000000000000000000000−1−i32−1+i321+i32−1−i321−i32−1+i321+i321−i32−ζ22ζ22−ζ14ζ14ζ22−ζ22ζ14−ζ14−ζ13ζ13ζ7−ζ7ζ13−ζ13−ζ7ζ7−ζ5ζ5ζ23−ζ23ζ5−ζ5−ζ23ζ23
χ684-44-4−4i4i4i−4i−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ134ζ7+4ζ23−4ζ7−4ζ23−4ζ5−4ζ134ζ5+4ζ13000000000000000000000000−1+i32−1−i321−i32−1+i321+i32−1−i321−i321+i32−ζ14ζ14−ζ22ζ22ζ14−ζ14ζ22−ζ22−ζ5ζ5ζ23−ζ23ζ5−ζ5−ζ23ζ23−ζ13ζ13ζ7−ζ7ζ13−ζ13−ζ7ζ7
χ696666-6-6-6-66i6i−6i−6i6i6i−6i−6i-2-222−2i2i−2i2i000000000000000000000000000000000000000000000000
χ706666-6-6-6-6−6i−6i6i6i−6i−6i6i6i-2-2222i−2i2i−2i000000000000000000000000000000000000000000000000
χ716-6-6666-6-66i6i−6i−6i−6i−6i6i6i2-2-22−2i2i2i−2i000000000000000000000000000000000000000000000000
χ726-6-6666-6-6−6i−6i6i6i6i6i−6i−6i2-2-222i−2i−2i2i000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.