Finite Group Databasebeta

← Group #13085365

Character table — Group #13085365

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111110101010151515152020202020202020242424243030303011111010101015151515202020202020202024242424303030301111101010101515151520202020202020202424242430303030
order12448888224436121224242424510202088883612122424242466121236121224242424153060602424242436121224242424661212361212242424241530606024242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ311-1-1ii−i−i11-1-111-1-1ii−i−i11-1-1ii−i−i11-1-1ii−i−i11-1-111-1-1ii−i−i11-1-1ii−i−i11-1-1ii−i−i11-1-111-1-1ii−i−i11-1-1ii−i−i
χ411-1-1−i−iii11-1-111-1-1−i−iii11-1-1−i−iii11-1-1−i−iii11-1-111-1-1−i−iii11-1-1−i−iii11-1-1−i−iii11-1-111-1-1−i−iii11-1-1−i−iii
χ51-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-1i−i1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-1i−i1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-1i−i1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13
χ61-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-1i−i1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-1i−i1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-1i−i1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13
χ71-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-1−ii1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-1−ii1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-1−ii1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23
χ81-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1−ii1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1−ii1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1−ii1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23
χ94444222200001111-1-1-1-1-1-1-1-100004444222200001111-1-1-1-1-1-1-1-100004444222200001111-1-1-1-1-1-1-1-10000
χ104444-2-2-2-2000011111111-1-1-1-100004444-2-2-2-2000011111111-1-1-1-100004444-2-2-2-2000011111111-1-1-1-10000
χ1144-4-42i2i−2i−2i000011-1-1−i−iii-1-111000044-4-42i2i−2i−2i000011-1-1−i−iii-1-111000044-4-42i2i−2i−2i000011-1-1−i−iii-1-1110000
χ1244-4-4−2i−2i2i2i000011-1-1ii−i−i-1-111000044-4-4−2i−2i2i2i000011-1-1ii−i−i-1-111000044-4-4−2i−2i2i2i000011-1-1ii−i−i-1-1110000
χ134-44i−4i2ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ1300001-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13-11−ii00004-44i−4i2ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ1300001-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13-11−ii00004-44i−4i2ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ1300001-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13-11−ii0000
χ144-44i−4i−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ1300001-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13-11−ii00004-44i−4i−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ1300001-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13-11−ii00004-44i−4i−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ1300001-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13-11−ii0000
χ154-4−4i4i2ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ2300001-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23-11i−i00004-4−4i4i2ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ2300001-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23-11i−i00004-4−4i4i2ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ2300001-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23-11i−i0000
χ164-4−4i4i−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ2300001-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23-11i−i00004-4−4i4i−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ2300001-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23-11i−i00004-4−4i4i−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ2300001-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23-11i−i0000
χ17555511111111-1-1-1-111110000-1-1-1-1555511111111-1-1-1-111110000-1-1-1-1555511111111-1-1-1-111110000-1-1-1-1
χ185555-1-1-1-11111-1-1-1-1-1-1-1-1000011115555-1-1-1-11111-1-1-1-1-1-1-1-1000011115555-1-1-1-11111-1-1-1-1-1-1-1-100001111
χ1955-5-5ii−i−i11-1-1-1-111ii−i−i0000−i−iii55-5-5ii−i−i11-1-1-1-111ii−i−i0000−i−iii55-5-5ii−i−i11-1-1-1-111ii−i−i0000−i−iii
χ2055-5-5−i−iii11-1-1-1-111−i−iii0000ii−i−i55-5-5−i−iii11-1-1-1-111−i−iii0000ii−i−i55-5-5−i−iii11-1-1-1-111−i−iii0000ii−i−i
χ215-55i−5iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-1i−i-11−iiζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ130000−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ135-55i−5iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-1i−i-11−iiζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ130000−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ135-55i−5iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-1i−i-11−iiζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ130000−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13
χ225-55i−5i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-1i−i-11−ii−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ130000ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ135-55i−5i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-1i−i-11−ii−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ130000ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ135-55i−5i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-1i−i-11−ii−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ130000ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13
χ235-5−5i5iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-1−ii-11i−iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ230000−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ235-5−5i5iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-1−ii-11i−iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ230000−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ235-5−5i5iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-1−ii-11i−iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ230000−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23
χ245-5−5i5i−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1−ii-11i−i−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ230000ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ235-5−5i5i−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1−ii-11i−i−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ230000ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ235-5−5i5i−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1−ii-11i−i−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ230000ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23
χ2566660000-2-2-2-2000000001111000066660000-2-2-2-2000000001111000066660000-2-2-2-20000000011110000
χ2666-6-60000-2-2220000000011-1-1000066-6-60000-2-2220000000011-1-1000066-6-60000-2-2220000000011-1-10000
χ276-66i−6i0000-22−2i2i000000001-1i−i00006-66i−6i0000-22−2i2i000000001-1i−i00006-66i−6i0000-22−2i2i000000001-1i−i0000
χ286-6−6i6i0000-222i−2i000000001-1−ii00006-6−6i6i0000-222i−2i000000001-1−ii00006-6−6i6i0000-222i−2i000000001-1−ii0000
χ291111111111111111111111111111−1+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−i32−1−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
χ301111-1-1-1-111111111-1-1-1-11111-1-1-1-1−1+i32−1+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−i32−1−i32−1−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
χ3111-1-1ii−i−i11-1-111-1-1ii−i−i11-1-1ii−i−i−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22
χ3211-1-1−i−iii11-1-111-1-1−i−iii11-1-1−i−iii−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22
χ331-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-1i−i1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−1+i321−i32ζ14−ζ14−ζ23ζ23−ζ5ζ5−1+i321−i32ζ14−ζ14−1+i321−i32ζ14−ζ14−ζ23ζ23−ζ5ζ5−1+i321−i32ζ14−ζ14−ζ23ζ23−ζ5ζ5−1−i321+i32ζ22−ζ22−ζ7ζ7−ζ13ζ13−1−i321+i32ζ22−ζ22−1−i321+i32ζ22−ζ22−ζ7ζ7−ζ13ζ13−1−i321+i32ζ22−ζ22−ζ7ζ7−ζ13ζ13
χ341-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-1i−i1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−1+i321−i32ζ14−ζ14ζ23−ζ23ζ5−ζ5−1+i321−i32ζ14−ζ14−1+i321−i32ζ14−ζ14ζ23−ζ23ζ5−ζ5−1+i321−i32ζ14−ζ14ζ23−ζ23ζ5−ζ5−1−i321+i32ζ22−ζ22ζ7−ζ7ζ13−ζ13−1−i321+i32ζ22−ζ22−1−i321+i32ζ22−ζ22ζ7−ζ7ζ13−ζ13−1−i321+i32ζ22−ζ22ζ7−ζ7ζ13−ζ13
χ351-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-1−ii1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−1+i321−i32−ζ14ζ14−ζ5ζ5−ζ23ζ23−1+i321−i32−ζ14ζ14−1+i321−i32−ζ14ζ14−ζ5ζ5−ζ23ζ23−1+i321−i32−ζ14ζ14−ζ5ζ5−ζ23ζ23−1−i321+i32−ζ22ζ22−ζ13ζ13−ζ7ζ7−1−i321+i32−ζ22ζ22−1−i321+i32−ζ22ζ22−ζ13ζ13−ζ7ζ7−1−i321+i32−ζ22ζ22−ζ13ζ13−ζ7ζ7
χ361-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1−ii1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−1+i321−i32−ζ14ζ14ζ5−ζ5ζ23−ζ23−1+i321−i32−ζ14ζ14−1+i321−i32−ζ14ζ14ζ5−ζ5ζ23−ζ23−1+i321−i32−ζ14ζ14ζ5−ζ5ζ23−ζ23−1−i321+i32−ζ22ζ22ζ13−ζ13ζ7−ζ7−1−i321+i32−ζ22ζ22−1−i321+i32−ζ22ζ22ζ13−ζ13ζ7−ζ7−1−i321+i32−ζ22ζ22ζ13−ζ13ζ7−ζ7
χ374444222200001111-1-1-1-1-1-1-1-10000−2+2i3−2+2i3−2+2i3−2+2i3−1+i3−1+i3−1+i3−1+i30000−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i320000−2−2i3−2−2i3−2−2i3−2−2i3−1−i3−1−i3−1−i3−1−i30000−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i320000
χ384444-2-2-2-2000011111111-1-1-1-10000−2+2i3−2+2i3−2+2i3−2+2i31−i31−i31−i31−i30000−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i320000−2−2i3−2−2i3−2−2i3−2−2i31+i31+i31+i31+i30000−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i320000
χ3944-4-42i2i−2i−2i000011-1-1−i−iii-1-1110000−2+2i3−2+2i32−2i32−2i32ζ142ζ14−2ζ14−2ζ140000−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ141−i321−i32−1+i32−1+i320000−2−2i3−2−2i32+2i32+2i32ζ222ζ22−2ζ22−2ζ220000−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ221+i321+i32−1−i32−1−i320000
χ4044-4-4−2i−2i2i2i000011-1-1ii−i−i-1-1110000−2+2i3−2+2i32−2i32−2i3−2ζ14−2ζ142ζ142ζ140000−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ141−i321−i32−1+i32−1+i320000−2−2i3−2−2i32+2i32+2i3−2ζ22−2ζ222ζ222ζ220000−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ221+i321+i32−1−i32−1−i320000
χ414-44i−4i2ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ1300001-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13-11−ii0000−2+2i32−2i34ζ14−4ζ14−2ζ232ζ23−2ζ52ζ50000−1+i321−i32ζ14−ζ14ζ23−ζ23ζ5−ζ51−i32−1+i32−ζ14ζ140000−2−2i32+2i34ζ22−4ζ22−2ζ72ζ7−2ζ132ζ130000−1−i321+i32ζ22−ζ22ζ7−ζ7ζ13−ζ131+i32−1−i32−ζ22ζ220000
χ424-44i−4i−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ1300001-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13-11−ii0000−2+2i32−2i34ζ14−4ζ142ζ23−2ζ232ζ5−2ζ50000−1+i321−i32ζ14−ζ14−ζ23ζ23−ζ5ζ51−i32−1+i32−ζ14ζ140000−2−2i32+2i34ζ22−4ζ222ζ7−2ζ72ζ13−2ζ130000−1−i321+i32ζ22−ζ22−ζ7ζ7−ζ13ζ131+i32−1−i32−ζ22ζ220000
χ434-4−4i4i2ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ2300001-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23-11i−i0000−2+2i32−2i3−4ζ144ζ14−2ζ52ζ5−2ζ232ζ230000−1+i321−i32−ζ14ζ14ζ5−ζ5ζ23−ζ231−i32−1+i32ζ14−ζ140000−2−2i32+2i3−4ζ224ζ22−2ζ132ζ13−2ζ72ζ70000−1−i321+i32−ζ22ζ22ζ13−ζ13ζ7−ζ71+i32−1−i32ζ22−ζ220000
χ444-4−4i4i−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ2300001-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23-11i−i0000−2+2i32−2i3−4ζ144ζ142ζ5−2ζ52ζ23−2ζ230000−1+i321−i32−ζ14ζ14−ζ5ζ5−ζ23ζ231−i32−1+i32ζ14−ζ140000−2−2i32+2i3−4ζ224ζ222ζ13−2ζ132ζ7−2ζ70000−1−i321+i32−ζ22ζ22−ζ13ζ13−ζ7ζ71+i32−1−i32ζ22−ζ220000
χ45555511111111-1-1-1-111110000-1-1-1-1−5+5i32−5+5i32−5+5i32−5+5i32−1+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+i3200001−i321−i321−i321−i32−5−5i32−5−5i32−5−5i32−5−5i32−1−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−i3200001+i321+i321+i321+i32
χ465555-1-1-1-11111-1-1-1-1-1-1-1-100001111−5+5i32−5+5i32−5+5i32−5+5i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i320000−1+i32−1+i32−1+i32−1+i32−5−5i32−5−5i32−5−5i32−5−5i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i320000−1−i32−1−i32−1−i32−1−i32
χ4755-5-5ii−i−i11-1-1-1-111ii−i−i0000−i−iii−5+5i32−5+5i325−5i325−5i32ζ14ζ14−ζ14−ζ14−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ140000−ζ14−ζ14ζ14ζ14−5−5i32−5−5i325+5i325+5i32ζ22ζ22−ζ22−ζ22−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ220000−ζ22−ζ22ζ22ζ22
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χ5366660000-2-2-2-20000000011110000−3+3i3−3+3i3−3+3i3−3+3i300001−i31−i31−i31−i300000000−1+i32−1+i32−1+i32−1+i320000−3−3i3−3−3i3−3−3i3−3−3i300001+i31+i31+i31+i300000000−1−i32−1−i32−1−i32−1−i320000
χ5466-6-60000-2-2220000000011-1-10000−3+3i3−3+3i33−3i33−3i300001−i31−i3−1+i3−1+i300000000−1+i32−1+i321−i321−i320000−3−3i3−3−3i33+3i33+3i300001+i31+i3−1−i3−1−i300000000−1−i32−1−i321+i321+i320000
χ556-66i−6i0000-22−2i2i000000001-1i−i0000−3+3i33−3i36ζ14−6ζ1400001−i3−1+i3−2ζ142ζ1400000000−1+i321−i32ζ14−ζ140000−3−3i33+3i36ζ22−6ζ2200001+i3−1−i3−2ζ222ζ2200000000−1−i321+i32ζ22−ζ220000
χ566-6−6i6i0000-222i−2i000000001-1−ii0000−3+3i33−3i3−6ζ146ζ1400001−i3−1+i32ζ14−2ζ1400000000−1+i321−i32−ζ14ζ140000−3−3i33+3i3−6ζ226ζ2200001+i3−1−i32ζ22−2ζ2200000000−1−i321+i32−ζ22ζ220000
χ571111111111111111111111111111−1−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+i32−1+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
χ581111-1-1-1-111111111-1-1-1-11111-1-1-1-1−1−i32−1−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+i32−1+i32−1+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
χ5911-1-1ii−i−i11-1-111-1-1ii−i−i11-1-1ii−i−i−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14
χ6011-1-1−i−iii11-1-111-1-1−i−iii11-1-1−i−iii−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14
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χ654444222200001111-1-1-1-1-1-1-1-10000−2−2i3−2−2i3−2−2i3−2−2i3−1−i3−1−i3−1−i3−1−i30000−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i320000−2+2i3−2+2i3−2+2i3−2+2i3−1+i3−1+i3−1+i3−1+i30000−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i320000
χ664444-2-2-2-2000011111111-1-1-1-10000−2−2i3−2−2i3−2−2i3−2−2i31+i31+i31+i31+i30000−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i320000−2+2i3−2+2i3−2+2i3−2+2i31−i31−i31−i31−i30000−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i320000
χ6744-4-42i2i−2i−2i000011-1-1−i−iii-1-1110000−2−2i3−2−2i32+2i32+2i32ζ222ζ22−2ζ22−2ζ220000−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ221+i321+i32−1−i32−1−i320000−2+2i3−2+2i32−2i32−2i32ζ142ζ14−2ζ14−2ζ140000−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ141−i321−i32−1+i32−1+i320000
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χ694-44i−4i2ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ1300001-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13-11−ii0000−2−2i32+2i34ζ22−4ζ22−2ζ72ζ7−2ζ132ζ130000−1−i321+i32ζ22−ζ22ζ7−ζ7ζ13−ζ131+i32−1−i32−ζ22ζ220000−2+2i32−2i34ζ14−4ζ14−2ζ232ζ23−2ζ52ζ50000−1+i321−i32ζ14−ζ14ζ23−ζ23ζ5−ζ51−i32−1+i32−ζ14ζ140000
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χ714-4−4i4i2ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ2300001-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23-11i−i0000−2−2i32+2i3−4ζ224ζ22−2ζ132ζ13−2ζ72ζ70000−1−i321+i32−ζ22ζ22ζ13−ζ13ζ7−ζ71+i32−1−i32ζ22−ζ220000−2+2i32−2i3−4ζ144ζ14−2ζ52ζ5−2ζ232ζ230000−1+i321−i32−ζ14ζ14ζ5−ζ5ζ23−ζ231−i32−1+i32ζ14−ζ140000
χ724-4−4i4i−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ2300001-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23-11i−i0000−2−2i32+2i3−4ζ224ζ222ζ13−2ζ132ζ7−2ζ70000−1−i321+i32−ζ22ζ22−ζ13ζ13−ζ7ζ71+i32−1−i32ζ22−ζ220000−2+2i32−2i3−4ζ144ζ142ζ5−2ζ52ζ23−2ζ230000−1+i321−i32−ζ14ζ14−ζ5ζ5−ζ23ζ231−i32−1+i32ζ14−ζ140000
χ73555511111111-1-1-1-111110000-1-1-1-1−5−5i32−5−5i32−5−5i32−5−5i32−1−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−i3200001+i321+i321+i321+i32−5+5i32−5+5i32−5+5i32−5+5i32−1+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+i3200001−i321−i321−i321−i32
χ745555-1-1-1-11111-1-1-1-1-1-1-1-100001111−5−5i32−5−5i32−5−5i32−5−5i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i320000−1−i32−1−i32−1−i32−1−i32−5+5i32−5+5i32−5+5i32−5+5i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i320000−1+i32−1+i32−1+i32−1+i32
χ7555-5-5ii−i−i11-1-1-1-111ii−i−i0000−i−iii−5−5i32−5−5i325+5i325+5i32ζ22ζ22−ζ22−ζ22−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ220000−ζ22−ζ22ζ22ζ22−5+5i32−5+5i325−5i325−5i32ζ14ζ14−ζ14−ζ14−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ140000−ζ14−ζ14ζ14ζ14
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χ795-5−5i5iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-1−ii-11i−iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ230000−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−5−5i325+5i32−5ζ225ζ22−ζ13ζ13−ζ7ζ7−1−i321+i32−ζ22ζ221+i32−1−i32ζ22−ζ22−ζ13ζ13−ζ7ζ70000ζ13−ζ13ζ7−ζ7−5+5i325−5i32−5ζ145ζ14−ζ5ζ5−ζ23ζ23−1+i321−i32−ζ14ζ141−i32−1+i32ζ14−ζ14−ζ5ζ5−ζ23ζ230000ζ5−ζ5ζ23−ζ23
χ805-5−5i5i−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1−ii-11i−i−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ230000ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−5−5i325+5i32−5ζ225ζ22ζ13−ζ13ζ7−ζ7−1−i321+i32−ζ22ζ221+i32−1−i32ζ22−ζ22ζ13−ζ13ζ7−ζ70000−ζ13ζ13−ζ7ζ7−5+5i325−5i32−5ζ145ζ14ζ5−ζ5ζ23−ζ23−1+i321−i32−ζ14ζ141−i32−1+i32ζ14−ζ14ζ5−ζ5ζ23−ζ230000−ζ5ζ5−ζ23ζ23
χ8166660000-2-2-2-20000000011110000−3−3i3−3−3i3−3−3i3−3−3i300001+i31+i31+i31+i300000000−1−i32−1−i32−1−i32−1−i320000−3+3i3−3+3i3−3+3i3−3+3i300001−i31−i31−i31−i300000000−1+i32−1+i32−1+i32−1+i320000
χ8266-6-60000-2-2220000000011-1-10000−3−3i3−3−3i33+3i33+3i300001+i31+i3−1−i3−1−i300000000−1−i32−1−i321+i321+i320000−3+3i3−3+3i33−3i33−3i300001−i31−i3−1+i3−1+i300000000−1+i32−1+i321−i321−i320000
χ836-66i−6i0000-22−2i2i000000001-1i−i0000−3−3i33+3i36ζ22−6ζ2200001+i3−1−i3−2ζ222ζ2200000000−1−i321+i32ζ22−ζ220000−3+3i33−3i36ζ14−6ζ1400001−i3−1+i3−2ζ142ζ1400000000−1+i321−i32ζ14−ζ140000
χ846-6−6i6i0000-222i−2i000000001-1−ii0000−3−3i33+3i3−6ζ226ζ2200001+i3−1−i32ζ22−2ζ2200000000−1−i321+i32−ζ22ζ220000−3+3i33−3i3−6ζ146ζ1400001−i3−1+i32ζ14−2ζ1400000000−1+i321−i32−ζ14ζ140000

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