Finite Group Databasebeta

← Group #10840276

Character table — Group #10840276

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222222222222222244444444444444444444444444444444444416161616161616161616161624242424242424242424242424242424
order12442223444444466688881212121244668888881212121212121212121224242424242424242424242424242424448812121212242424242224444444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-11111
χ5111111111111111111-1-1-1-111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-11-111-11-1-111-1-111-1-1
χ6111111111111111111-1-1-1-111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-1-11-1-11-111-1-111-1-111
χ7111111111111111111-1-1-1-111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-1111-1-11-1-11111-1-1-1-111
χ8111111111111111111-1-1-1-111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111-111-111-1-1-1-11111-1-1
χ9111111111-1-1-1-11111111111111-1-111-1-1-1-1111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-111-111-111-1-1-1-111-1-1
χ10111111111-1-1-1-11111111111111-1-111-1-1-1-1111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-11-1-11-1-11111-1-111
χ11111111111-1-1-1-11111111111111-1-111-1-1-1-1111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111
χ12111111111-1-1-1-11111111111111-1-111-1-1-1-1111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-111111111-1-1
χ13111111111-1-1-1-111111-1-1-1-11111-1-1111111-1-11-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1111-1-11-1-1-1-1-1-1111111
χ14111111111-1-1-1-111111-1-1-1-11111-1-1111111-1-11-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-111-1111111-1-1-1-1-1-1
χ15111111111-1-1-1-111111-1-1-1-11111-1-1111111-1-11-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-11-111-1111-1-111-1-1-1-1
χ16111111111-1-1-1-111111-1-1-1-11111-1-1111111-1-11-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-11-1-11-1-1-111-1-11111
χ172222222-12222222-1-1-12222-1-1-1-122-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000
χ182222222-12222222-1-1-12222-1-1-1-122-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000000000
χ192222222-12222222-1-1-1-2-2-2-2-1-1-1-122-1-1-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-111111111111111112-22-2-1-111-1-1110000000000000000
χ202222222-12222222-1-1-1-2-2-2-2-1-1-1-122-1-1-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-11111111111111111-22-2211-1-111-1-10000000000000000
χ212222222-12-2-2-2-222-1-1-12222-1-1-1-1-2-2-1-1-2-2-2-222-111111111-111111111-1-1-1-1-1-1-1-122-2-2-1-1-1-111110000000000000000
χ222222222-12-2-2-2-222-1-1-12222-1-1-1-1-2-2-1-1-2-2-2-222-111111111-111111111-1-1-1-1-1-1-1-1-2-2221111-1-1-1-10000000000000000
χ232222222-12-2-2-2-222-1-1-1-2-2-2-2-1-1-1-1-2-2-1-12222-2-2-111111111-1-1-1-1-1-1-1-1-1111111112-2-22-1-11111-1-10000000000000000
χ242222222-12-2-2-2-222-1-1-1-2-2-2-2-1-1-1-1-2-2-1-12222-2-2-111111111-1-1-1-1-1-1-1-1-111111111-222-211-1-1-1-1110000000000000000
χ252222-22-22-20000-222-2-2222222-2-2002-20000-2-2-2000000002000000002222-2-2-2-2000000000000000000002i−2i2i−2i0000
χ262222-22-22-20000-222-2-2222222-2-2002-20000-2-2-2000000002000000002222-2-2-2-200000000000000000000−2i2i−2i2i0000
χ272222-22-22-20000-222-2-2-2-2-2-222-2-2002-2000022-200000000200000000-2-2-2-22222000000000000000000002i−2i−2i2i0000
χ282222-22-22-20000-222-2-2-2-2-2-222-2-2002-2000022-200000000200000000-2-2-2-2222200000000000000000000−2i2i2i−2i0000
χ292222-2-22222222-2-22-2-2000022-2-2-2-2-2200000022222-2-2-2-2-200000000000000000000000000000000002i−2i0000002i−2i
χ302222-2-22222222-2-22-2-2000022-2-2-2-2-2200000022222-2-2-2-2-20000000000000000000000000000000000−2i2i000000−2i2i
χ312222-2-2222-2-2-2-2-2-22-2-2000022-2-222-220000002-2-2-2-22222-200000000000000000000000000000000002i−2i000000−2i2i
χ322222-2-2222-2-2-2-2-2-22-2-2000022-2-222-220000002-2-2-2-22222-20000000000000000000000000000000000−2i2i0000002i−2i
χ3322-2-22-2-2222i2i−2i−2i-2222222-2-2-2-2-2-22i−2i-2-22i2i−2i−2i2-222i2i−2i−2i2i2i−2i−2i22i2i2i2i−2i−2i−2i−2i22-2-222-2-20000000000000000000000000000
χ3422-2-22-2-2222i2i−2i−2i-22222-2-222-2-2-2-22i−2i-2-2−2i−2i2i2i-2222i2i−2i−2i2i2i−2i−2i2−2i−2i−2i−2i2i2i2i2i-2-222-2-2220000000000000000000000000000
χ3522-2-22-2-222−2i−2i2i2i-2222222-2-2-2-2-2-2−2i2i-2-2−2i−2i2i2i2-22−2i−2i2i2i−2i−2i2i2i2−2i−2i−2i−2i2i2i2i2i22-2-222-2-20000000000000000000000000000
χ3622-2-22-2-222−2i−2i2i2i-22222-2-222-2-2-2-2−2i2i-2-22i2i−2i−2i-222−2i−2i2i2i−2i−2i2i2i22i2i2i2i−2i−2i−2i−2i-2-222-2-2220000000000000000000000000000
χ3722-2-22-2-2-122i2i−2i−2i-22-1-1-122-2-211112i−2i112i2i−2i−2i2-2-1−i−iii−i−iii-1−i−i−i−iiiii-1-111-1-1110000−i3i3−i3i33−33−30000000000000000
χ3822-2-22-2-2-122i2i−2i−2i-22-1-1-122-2-211112i−2i112i2i−2i−2i2-2-1−i−iii−i−iii-1−i−i−i−iiiii-1-111-1-1110000i3−i3i3−i3−33−330000000000000000
χ3922-2-22-2-2-122i2i−2i−2i-22-1-1-1-2-22211112i−2i11−2i−2i2i2i-22-1−i−iii−i−iii-1iiii−i−i−i−i11-1-111-1-10000−i3i3i3−i33−3−330000000000000000
χ4022-2-22-2-2-122i2i−2i−2i-22-1-1-1-2-22211112i−2i11−2i−2i2i2i-22-1−i−iii−i−iii-1iiii−i−i−i−i11-1-111-1-10000i3−i3−i3i3−333−30000000000000000
χ4122-2-22-2-2-12−2i−2i2i2i-22-1-1-122-2-21111−2i2i11−2i−2i2i2i2-2-1ii−i−iii−i−i-1iiii−i−i−i−i-1-111-1-1110000−i3i3−i3i3−33−330000000000000000
χ4222-2-22-2-2-12−2i−2i2i2i-22-1-1-122-2-21111−2i2i11−2i−2i2i2i2-2-1ii−i−iii−i−i-1iiii−i−i−i−i-1-111-1-1110000i3−i3i3−i33−33−30000000000000000
χ4322-2-22-2-2-12−2i−2i2i2i-22-1-1-1-2-2221111−2i2i112i2i−2i−2i-22-1ii−i−iii−i−i-1−i−i−i−iiiii11-1-111-1-10000−i3i3i3−i3−333−30000000000000000
χ4422-2-22-2-2-12−2i−2i2i2i-22-1-1-1-2-2221111−2i2i112i2i−2i−2i-22-1ii−i−iii−i−i-1−i−i−i−iiiii11-1-111-1-10000i3−i3−i3i33−3−330000000000000000
χ4522-2-2-22-2222i2i−2i−2i2-22-2-20000-2-222−2i2i2-200000022i2i−2i−2i−2i−2i2i2i-2000000000000000000000000000000200-20000002i−2i00
χ4622-2-2-22-2222i2i−2i−2i2-22-2-20000-2-222−2i2i2-200000022i2i−2i−2i−2i−2i2i2i-2000000000000000000000000000000-2002000000−2i2i00
χ4722-2-2-22-222−2i−2i2i2i2-22-2-20000-2-2222i−2i2-20000002−2i−2i2i2i2i2i−2i−2i-2000000000000000000000000000000200-2000000−2i2i00
χ4822-2-2-22-222−2i−2i2i2i2-22-2-20000-2-2222i−2i2-20000002−2i−2i2i2i2i2i−2i−2i-2000000000000000000000000000000-20020000002i−2i00
χ4922-2-2-2-222-20000222-2-222-2-2-2-22200-220000-22-20000000020000000022-2-2-2-222000000000000220-2-200000000000
χ5022-2-2-2-222-20000222-2-222-2-2-2-22200-220000-22-20000000020000000022-2-2-2-222000000000000-2-202200000000000
χ5122-2-2-2-222-20000222-2-2-2-222-2-22200-2200002-2-200000000200000000-2-22222-2-20000000000002-20-2200000000000
χ5222-2-2-2-222-20000222-2-2-2-222-2-22200-2200002-2-200000000200000000-2-22222-2-2000000000000-2202-200000000000
χ5344444-4-44-400004-44440000444400-4-4000000-400000000-400000000000000000000000000000000000000000000
χ5444444-4-4-2-400004-4-2-2-20000-2-2-2-200220000002000000002−2i3−2i32i32i3−2i3−2i32i32i3000000000000000000000000000000000000
χ5544444-4-4-2-400004-4-2-2-20000-2-2-2-2002200000020000000022i32i3−2i3−2i32i32i3−2i3−2i3000000000000000000000000000000000000
χ564444-44-4-2-40000-44-2224444-2-22200-220000-4-4200000000-200000000-2-2-2-222220000000000000000000000000000
χ574444-44-4-2-40000-44-222-4-4-4-4-2-22200-22000044200000000-2000000002222-2-2-2-20000000000000000000000000000
χ584444-4-44-244444-4-4-2220000-2-222-4-42-2000000-2-2-2-2-22222200000000000000000000000000000000000000000000
χ594444-4-44-24-4-4-4-4-4-4-2220000-2-222442-2000000-22222-2-2-2-2200000000000000000000000000000000000000000000
χ6044-4-44444-40000-4-44440000-4-4-4-40044000000-400000000-400000000000000000000000000000000000000000000
χ6144-4-4444-2-40000-4-4-2-2-20000222200-2-200000020000000022323−23−23−23−232323000000000000000000000000000000000000
χ6244-4-4444-2-40000-4-4-2-2-20000222200-2-20000002000000002−23−2323232323−23−23000000000000000000000000000000000000
χ6344-4-4-44-4-244i4i−4i−4i4-4-222000022-2-2−4i4i-22000000-2−2i−2i2i2i2i2i−2i−2i200000000000000000000000000000000000000000000
χ6444-4-4-44-4-24−4i−4i4i4i4-4-222000022-2-24i−4i-22000000-22i2i−2i−2i−2i−2i2i2i200000000000000000000000000000000000000000000
χ6544-4-4-4-44-2-4000044-22244-4-422-2-2002-20000-44200000000-200000000-2-22222-2-20000000000000000000000000000
χ6644-4-4-4-44-2-4000044-222-4-44422-2-2002-200004-4200000000-20000000022-2-2-2-2220000000000000000000000000000
χ674-44i−4i000402+2i−2−2i2−2i−2+2i00-40022−22−2i22i24i−4i0000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130002+2i−2−2i2−2i−2+2i000002ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ1322−22−2i22i200000000000000000000000000000000
χ684-44i−4i000402+2i−2−2i2−2i−2+2i00-400−22222i2−2i24i−4i000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130002+2i−2−2i2−2i−2+2i00000−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−22222i2−2i200000000000000000000000000000000
χ694-44i−4i00040−2−2i2+2i−2+2i2−2i00-40022−22−2i22i24i−4i000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000−2−2i2+2i−2+2i2−2i00000−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ1322−22−2i22i200000000000000000000000000000000
χ704-44i−4i00040−2−2i2+2i−2+2i2−2i00-400−22222i2−2i24i−4i0000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000−2−2i2+2i−2+2i2−2i000002ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−22222i2−2i200000000000000000000000000000000
χ714-44i−4i000-202+2i−2−2i2−2i−2+2i002−2i32i322−22−2i22i2−2i2i23−2300002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000−1−i1+i−1+i1−i−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ220−2ζ72ζ7−2ζ232ζ232ζ13−2ζ132ζ5−2ζ5−22i2−i2i6−i66−60000000000000000000000000000
χ724-44i−4i000-202+2i−2−2i2−2i−2+2i002−2i32i3−22222i2−2i2−2i2i23−230000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000−1−i1+i−1+i1−i−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ2202ζ7−2ζ72ζ23−2ζ23−2ζ132ζ13−2ζ52ζ52−2−i2i2−i6i6−660000000000000000000000000000
χ734-44i−4i000-202+2i−2−2i2−2i−2+2i0022i3−2i322−22−2i22i2−2i2i−232300002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000−1−i1+i−1+i1−iζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ220−2ζ232ζ23−2ζ72ζ72ζ5−2ζ52ζ13−2ζ13−22i2−i2−i6i6−660000000000000000000000000000
χ744-44i−4i000-202+2i−2−2i2−2i−2+2i0022i3−2i3−22222i2−2i2−2i2i−23230000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000−1−i1+i−1+i1−iζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ2202ζ23−2ζ232ζ7−2ζ7−2ζ52ζ5−2ζ132ζ132−2−i2i2i6−i66−60000000000000000000000000000
χ754-44i−4i000-20−2−2i2+2i−2+2i2−2i002−2i32i322−22−2i22i2−2i2i23−230000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130001+i−1−i1−i−1+iζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ2202ζ7−2ζ72ζ23−2ζ23−2ζ132ζ13−2ζ52ζ5−22i2−i2i6−i66−60000000000000000000000000000
χ764-44i−4i000-20−2−2i2+2i−2+2i2−2i002−2i32i3−22222i2−2i2−2i2i23−2300002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130001+i−1−i1−i−1+iζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ220−2ζ72ζ7−2ζ232ζ232ζ13−2ζ132ζ5−2ζ52−2−i2i2−i6i6−660000000000000000000000000000
χ774-44i−4i000-20−2−2i2+2i−2+2i2−2i0022i3−2i322−22−2i22i2−2i2i−23230000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130001+i−1−i1−i−1+i−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ2202ζ23−2ζ232ζ7−2ζ7−2ζ52ζ5−2ζ132ζ13−22i2−i2−i6i6−660000000000000000000000000000
χ784-44i−4i000-20−2−2i2+2i−2+2i2−2i0022i3−2i3−22222i2−2i2−2i2i−232300002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130001+i−1−i1−i−1+i−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ220−2ζ232ζ23−2ζ72ζ72ζ5−2ζ52ζ13−2ζ132−2−i2i2i6−i66−60000000000000000000000000000
χ794-4−4i4i000402−2i−2+2i2+2i−2−2i00-40022−222i2−2i2−4i4i000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230002−2i−2+2i2+2i−2−2i00000−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ2322−222i2−2i200000000000000000000000000000000
χ804-4−4i4i000402−2i−2+2i2+2i−2−2i00-400−2222−2i22i2−4i4i0000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230002−2i−2+2i2+2i−2−2i000002ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2222−2i22i200000000000000000000000000000000
χ814-4−4i4i00040−2+2i2−2i−2−2i2+2i00-40022−222i2−2i2−4i4i0000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000−2+2i2−2i−2−2i2+2i000002ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ2322−222i2−2i200000000000000000000000000000000
χ824-4−4i4i00040−2+2i2−2i−2−2i2+2i00-400−2222−2i22i2−4i4i000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000−2+2i2−2i−2−2i2+2i00000−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2222−2i22i200000000000000000000000000000000
χ834-4−4i4i000-202−2i−2+2i2+2i−2−2i002−2i32i322−222i2−2i22i−2i−23230000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000−1+i1−i−1−i1+i−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ2202ζ13−2ζ132ζ5−2ζ5−2ζ72ζ7−2ζ232ζ23−22−i2i2i6−i6−660000000000000000000000000000
χ844-4−4i4i000-202−2i−2+2i2+2i−2−2i002−2i32i3−2222−2i22i22i−2i−232300002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000−1+i1−i−1−i1+i−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ220−2ζ132ζ13−2ζ52ζ52ζ7−2ζ72ζ23−2ζ232−2i2−i2−i6i66−60000000000000000000000000000
χ854-4−4i4i000-202−2i−2+2i2+2i−2−2i0022i3−2i322−222i2−2i22i−2i23−230000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000−1+i1−i−1−i1+iζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ2202ζ5−2ζ52ζ13−2ζ13−2ζ232ζ23−2ζ72ζ7−22−i2i2−i6i66−60000000000000000000000000000
χ864-4−4i4i000-202−2i−2+2i2+2i−2−2i0022i3−2i3−2222−2i22i22i−2i23−2300002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000−1+i1−i−1−i1+iζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ220−2ζ52ζ5−2ζ132ζ132ζ23−2ζ232ζ7−2ζ72−2i2−i2i6−i6−660000000000000000000000000000
χ874-4−4i4i000-20−2+2i2−2i−2−2i2+2i002−2i32i322−222i2−2i22i−2i−232300002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230001−i−1+i1+i−1−iζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ220−2ζ132ζ13−2ζ52ζ52ζ7−2ζ72ζ23−2ζ23−22−i2i2i6−i6−660000000000000000000000000000
χ884-4−4i4i000-20−2+2i2−2i−2−2i2+2i002−2i32i3−2222−2i22i22i−2i−23230000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230001−i−1+i1+i−1−iζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ2202ζ13−2ζ132ζ5−2ζ5−2ζ72ζ7−2ζ232ζ232−2i2−i2−i6i66−60000000000000000000000000000
χ894-4−4i4i000-20−2+2i2−2i−2−2i2+2i0022i3−2i322−222i2−2i22i−2i23−2300002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230001−i−1+i1+i−1−i−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ220−2ζ52ζ5−2ζ132ζ132ζ23−2ζ232ζ7−2ζ7−22−i2i2−i6i66−60000000000000000000000000000
χ904-4−4i4i000-20−2+2i2−2i−2−2i2+2i0022i3−2i3−2222−2i22i22i−2i23−230000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230001−i−1+i1+i−1−i−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ2202ζ5−2ζ52ζ13−2ζ13−2ζ232ζ23−2ζ72ζ72−2i2−i2i6−i6−660000000000000000000000000000

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