Finite Group Databasebeta

← Group #68080

Character table — Group #68080

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111111112222222222222222222222224444444444444444444444444444444444121212121212121224242424
order122244443444466688881212121212121212121212128888888888242424242424242424242424242424242424242424242424224488884488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ81111111111111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ91111-1-1-1-1111-1-1111ii−i−i1111-1-1-1-1-1-1-1-1i−i11-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i1-1i−i
χ101111-1-1-1-1111-1-1111ii−i−i1111-1-1-1-1-1-1-1-1i−i11-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i-1-111−i−iii-11−ii
χ111111-1-1-1-1111-1-1111ii−i−i1111-1-1-1-1-1-1-1-1i−i-1-111−i−iiiiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii11-1-1ii−i−i-11−ii
χ121111-1-1-1-1111-1-1111ii−i−i1111-1-1-1-1-1-1-1-1i−i-1-111−i−iiiiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii-1-111−i−iii1-1i−i
χ131111-1-1-1-1111-1-1111−i−iii1111-1-1-1-1-1-1-1-1−ii11-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii11-1-1−i−iii1-1−ii
χ141111-1-1-1-1111-1-1111−i−iii1111-1-1-1-1-1-1-1-1−ii11-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii-1-111ii−i−i-11i−i
χ151111-1-1-1-1111-1-1111−i−iii1111-1-1-1-1-1-1-1-1−ii-1-111ii−i−i−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i11-1-1−i−iii-11i−i
χ161111-1-1-1-1111-1-1111−i−iii1111-1-1-1-1-1-1-1-1−ii-1-111ii−i−i−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i-1-111ii−i−i1-1−ii
χ17222222222-2-2-2-22222222-2-2-2-22222-2-2-2-2-2-20000000022-2-222-2-20000000000000000000000000000
χ18222222222-2-2-2-2222-2-2-2-2-2-2-2-22222-2-2-2-22200000000-2-222-2-2220000000000000000000000000000
χ1922222222-12222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ2022222222-12222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111000000000000
χ2122222222-12222-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-111111111000000000000
χ2222222222-12222-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-1000000000000
χ2322222222-1-2-2-2-2-1-1-122221111-1-1-1-11111-2-200000000-1-111-1-11133−3−333−3−333−3−333−3−3000000000000
χ2422222222-1-2-2-2-2-1-1-122221111-1-1-1-11111-2-200000000-1-111-1-111−3−333−3−333−3−333−3−333000000000000
χ2522222222-1-2-2-2-2-1-1-1-2-2-2-21111-1-1-1-11111220000000011-1-111-1-133−3−333−3−3−3−333−3−333000000000000
χ2622222222-1-2-2-2-2-1-1-1-2-2-2-21111-1-1-1-11111220000000011-1-111-1-1−3−333−3−33333−3−333−3−3000000000000
χ272222-2-2-2-22-2-2222222i2i−2i−2i-2-2-2-2-2-2-2-22222−2i2i000000002i2i−2i−2i−2i−2i2i2i0000000000000000000000000000
χ282222-2-2-2-22-2-222222−2i−2i2i2i-2-2-2-2-2-2-2-222222i−2i00000000−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000
χ292222-2-2-2-2-122-2-2-1-1-12i2i−2i−2i-1-1-1-1111111112i−2i22-2-22i2i−2i−2i−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii000000000000
χ302222-2-2-2-2-122-2-2-1-1-12i2i−2i−2i-1-1-1-1111111112i−2i-2-222−2i−2i2i2i−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i000000000000
χ312222-2-2-2-2-122-2-2-1-1-1−2i−2i2i2i-1-1-1-111111111−2i2i22-2-2−2i−2i2i2iiiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i000000000000
χ322222-2-2-2-2-122-2-2-1-1-1−2i−2i2i2i-1-1-1-111111111−2i2i-2-2222i2i−2i−2iiiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii000000000000
χ332222-2-2-2-2-1-2-222-1-1-12i2i−2i−2i11111111-1-1-1-1−2i2i00000000−i−iiiii−i−i33−3−3−3−333i3i3−i3−i3−i3−i3i3i3000000000000
χ342222-2-2-2-2-1-2-222-1-1-12i2i−2i−2i11111111-1-1-1-1−2i2i00000000−i−iiiii−i−i−3−33333−3−3−i3−i3i3i3i3i3−i3−i3000000000000
χ352222-2-2-2-2-1-2-222-1-1-1−2i−2i2i2i11111111-1-1-1-12i−2i00000000ii−i−i−i−iii33−3−3−3−333−i3−i3i3i3i3i3−i3−i3000000000000
χ362222-2-2-2-2-1-2-222-1-1-1−2i−2i2i2i11111111-1-1-1-12i−2i00000000ii−i−i−i−iii−3−33333−3−3i3i3−i3−i3−i3−i3i3i3000000000000
χ3722-2-22i−2i2i−2i200002-2-22ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300002i2i−2i−2i0000002−2−i2i21+i−1−i1−i−1+i2ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ13002−22−2−i2i2−i2i21+i−1−i1+i−1−i1−i−1+i1−i−1+i000000000000
χ3822-2-22i−2i2i−2i200002-2-22ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300002i2i−2i−2i000000−22i2−i2−1−i1+i−1+i1−i2ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ1300−22−22i2−i2i2−i2−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000000000
χ3922-2-22i−2i2i−2i200002-2-2−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300002i2i−2i−2i0000002−2−i2i2−1−i1+i−1+i1−i−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ13002−22−2−i2i2−i2i2−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000000000
χ4022-2-22i−2i2i−2i200002-2-2−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300002i2i−2i−2i000000−22i2−i21+i−1−i1−i−1+i−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ1300−22−22i2−i2i2−i21+i−1−i1+i−1−i1−i−1+i1−i−1+i000000000000
χ4122-2-22i−2i2i−2i-10000-1112ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1333−3−3−i−iii−i3−i3i3i3002−2−i2i21+i−1−i1−i−1+i−ζ7−ζ23ζ7+ζ23ζ5−ζ13−ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22000000000000
χ4222-2-22i−2i2i−2i-10000-1112ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1333−3−3−i−iii−i3−i3i3i300−22i2−i2−1−i1+i−1+i1−i−ζ7−ζ23ζ7+ζ23ζ5−ζ13−ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ7+ζ23ζ7−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ14ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22000000000000
χ4322-2-22i−2i2i−2i-10000-1112ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−3−333−i−iiii3i3−i3−i3002−2−i2i21+i−1−i1−i−1+i−ζ7−ζ23ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14000000000000
χ4422-2-22i−2i2i−2i-10000-1112ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−3−333−i−iiii3i3−i3−i300−22i2−i2−1−i1+i−1+i1−i−ζ7−ζ23ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14000000000000
χ4522-2-22i−2i2i−2i-10000-111−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1333−3−3−i−iii−i3−i3i3i3002−2−i2i2−1−i1+i−1+i1−iζ7+ζ23−ζ7−ζ23−ζ5+ζ13ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ7−ζ23−ζ7+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ14ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22000000000000
χ4622-2-22i−2i2i−2i-10000-111−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1333−3−3−i−iii−i3−i3i3i300−22i2−i21+i−1−i1−i−1+iζ7+ζ23−ζ7−ζ23−ζ5+ζ13ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22000000000000
χ4722-2-22i−2i2i−2i-10000-111−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−3−333−i−iiii3i3−i3−i3002−2−i2i2−1−i1+i−1+i1−iζ7+ζ23−ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14000000000000
χ4822-2-22i−2i2i−2i-10000-111−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−3−333−i−iiii3i3−i3−i300−22i2−i21+i−1−i1−i−1+iζ7+ζ23−ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14000000000000
χ4922-2-2−2i2i−2i2i200002-2-2−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000−2i−2i2i2i0000002−2i2−i21−i−1+i1+i−1−i−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ23002−22−2i2−i2i2−i21−i−1+i1−i−1+i1+i−1−i1+i−1−i000000000000
χ5022-2-2−2i2i−2i2i200002-2-2−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000−2i−2i2i2i000000−22−i2i2−1+i1−i−1−i1+i−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ2300−22−22−i2i2−i2i2−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000000000
χ5122-2-2−2i2i−2i2i200002-2-22ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000−2i−2i2i2i0000002−2i2−i2−1+i1−i−1−i1+i2ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ23002−22−2i2−i2i2−i2−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000000000
χ5222-2-2−2i2i−2i2i200002-2-22ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000−2i−2i2i2i000000−22−i2i21−i−1+i1+i−1−i2ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ2300−22−22−i2i2−i2i21−i−1+i1−i−1+i1+i−1−i1+i−1−i000000000000
χ5322-2-2−2i2i−2i2i-10000-111−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2333−3−3ii−i−ii3i3−i3−i3002−2i2−i21−i−1+i1+i−1−iζ5+ζ13−ζ5−ζ13−ζ7+ζ23ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14000000000000
χ5422-2-2−2i2i−2i2i-10000-111−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2333−3−3ii−i−ii3i3−i3−i300−22−i2i2−1+i1−i−1−i1+iζ5+ζ13−ζ5−ζ13−ζ7+ζ23ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ14000000000000
χ5522-2-2−2i2i−2i2i-10000-111−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−3−333ii−i−i−i3−i3i3i3002−2i2−i21−i−1+i1+i−1−iζ5+ζ13−ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22000000000000
χ5622-2-2−2i2i−2i2i-10000-111−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−3−333ii−i−i−i3−i3i3i300−22−i2i2−1+i1−i−1−i1+iζ5+ζ13−ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22000000000000
χ5722-2-2−2i2i−2i2i-10000-1112ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2333−3−3ii−i−ii3i3−i3−i3002−2i2−i2−1+i1−i−1−i1+i−ζ5−ζ13ζ5+ζ13ζ7−ζ23−ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ14000000000000
χ5822-2-2−2i2i−2i2i-10000-1112ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2333−3−3ii−i−ii3i3−i3−i300−22−i2i21−i−1+i1+i−1−i−ζ5−ζ13ζ5+ζ13ζ7−ζ23−ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14000000000000
χ5922-2-2−2i2i−2i2i-10000-1112ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−3−333ii−i−i−i3−i3i3i3002−2i2−i2−1+i1−i−1−i1+i−ζ5−ζ13ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22000000000000
χ6022-2-2−2i2i−2i2i-10000-1112ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−3−333ii−i−i−i3−i3i3i300−22−i2i21−i−1+i1+i−1−i−ζ5−ζ13ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22000000000000
χ612-22-22i−2i−2i2i22-22i−2i-22-200002-22-22i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000
χ622-22-22i−2i−2i2i22-22i−2i-22-200002-22-22i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000
χ632-22-22i−2i−2i2i2-22−2i2i-22-20000-22-222i−2i2i−2i−2i2i−2i2i00000000000000000000000000000000002-22i−2i00000000
χ642-22-22i−2i−2i2i2-22−2i2i-22-20000-22-222i−2i2i−2i−2i2i−2i2i0000000000000000000000000000000000-22−2i2i00000000
χ652-22-2−2i2i2i−2i22-2−2i2i-22-200002-22-2−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000
χ662-22-2−2i2i2i−2i22-2−2i2i-22-200002-22-2−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000
χ672-22-2−2i2i2i−2i2-222i−2i-22-20000-22-22−2i2i−2i2i2i−2i2i−2i00000000000000000000000000000000002-2−2i2i00000000
χ682-22-2−2i2i2i−2i2-222i−2i-22-20000-22-22−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000000000-222i−2i00000000
χ694-44-44i−4i−4i4i-24-44i−4i2-220000-22-22−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000
χ704-44-44i−4i−4i4i-2-44−4i4i2-2200002-22-2−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000000000000000000000
χ714-44-4−4i4i4i−4i-24-4−4i4i2-220000-22-222i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000
χ724-44-4−4i4i4i−4i-2-444i−4i2-2200002-22-22i−2i2i−2i−2i2i−2i2i0000000000000000000000000000000000000000000000
χ734-4-4444-4-440000-4-44000000004-4-4400000000000000000000000000000000000000000000000000
χ744-4-4444-4-4-2000022-2000023−23−2323-222-2−232323−230000000000000000000000000000000000000000000000
χ754-4-4444-4-4-2000022-20000−232323−23-222-223−23−23230000000000000000000000000000000000000000000000
χ764-4-44-4-44440000-4-4400000000-444-400000000000000000000000000000000000000000000000000
χ774-4-44-4-444-2000022-2000023−23−23232-2-2223−23−23230000000000000000000000000000000000000000000000
χ784-4-44-4-444-2000022-20000−232323−232-2-22−232323−230000000000000000000000000000000000000000000000

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