Finite Group Databasebeta

← Group #13167802

Character table — Group #13167802

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size112222222223344444444444444444444466666668888888888888899121212121212121212121212121212121212181818181824242424242424242727363636363636364848484854545472727272
order12333466688443336661212121212242424242424242424242881212121236121212122424242424242424442244666612122424242424242424288121266661212121222224462424661212488661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-1111-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111-1-111-1-111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1-111
χ41111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-111-1-1-111-1-1
χ511111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-11111111-1-1-1-1-1-1-1
χ611111111111-1-1111111111111111111111-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-11111
χ711111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-111-1-111111-1-1
χ811111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-111111-1-111
χ9111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-11-1-11111111111-1-1-1-1-1-1-1-1111-11-1111111-1-1-1-1-1-1-1-11-1-1111-11-11-11-1111-11-11-1-11-11-11-1-11-11-1
χ10111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-11-1-11111111111-1-1-1-1-1-1-1-111-11-11111111-1-1-1-1-1-1-1-11-1-111-11-11-11-1111-11-111-1-1-11-111-1-1-11-11
χ11111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-11-1-11111111-1-1-1-1-1-1-1-1-111-1-11-11-1-11-11-1-1-111-1-1111-1-11-111-111-1
χ12111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1111111-1-1-1-1-1-1-1-1-111-1-1-11-111-11-1-1-11-1-11-111-111-1-1111-1-11
χ13111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111-11-1-1-1-1-1-1-1111111111-1-1111-11-11-11-1-1-1-11-111-1-11-11-1-111-11-11
χ14111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-11-11-1-1-1-1-1-1111111111-1-111-11-11-11-11-1-11-11-11-1-1-11-11-1111-11-1
χ15111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-111111111-111-1-11-11-1-11-11111-1-11-1111-1-111-1-11-1-11
χ16111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111111111-111-1-1-11-111-11-111-111-1-111-111-11-1-1-111-1
χ1722222-22220022222222-2-2-2-2-20000000000-200222222-2-2-2-200000000220000-2-2-2-22200000000-2002200000000220000-2000000-2000000
χ1822222-22220022222222-2-2-2-2-20000000000-200222222-2-2-2-200000000-2-20000-2-2-2-22200000000200-2-200000000-2-2000020000002000000
χ1922222-222200-2-2222222-2-2-2-2-20000000000200-2-2-2-222-2-2-2-2000000002200002222-2-200000000-2002200000000-2-20000-20000002000000
χ2022222-222200-2-2222222-2-2-2-2-20000000000200-2-2-2-222-2-2-2-200000000-2-200002222-2-200000000200-2-2000000002200002000000-2000000
χ212222-12-1222222-1-122-1-1-12-1-1222-1-1-1-1-1-122222-1-122-1-12-1-1-122-1-1-1-1-1-10000222-1-1-1-1-122-1-1-1-1-1-1000000000-1-12200220000000-1-1000-1-100
χ222222-12-1222222-1-122-1-1-12-1-1222-1-1-1-1-1-122222-1-122-1-12-1-1-122-1-1-1-1-1-10000-2-22-1-1-1-1-122-1-1-1-1-1-100000000011-2-200-2-20000000110001100
χ232222-12-12222-2-2-1-122-1-1-12-1-1222-1-1-1-1-1-122-2-2-211-2-2-1-12-1-1-122-1-1-1-1-1-1000022-211111-2-2111111000000000-1-12200-2-20000000-1-10001100
χ242222-12-12222-2-2-1-122-1-1-12-1-1222-1-1-1-1-1-122-2-2-211-2-2-1-12-1-1-122-1-1-1-1-1-10000-2-2-211111-2-211111100000000011-2-20022000000011000-1-100
χ252222-12-122-2-222-1-122-1-1-12-1-12-2-2111111-2-22-2-2-1-122-1-12-1-1-1-2-211111100002-22-1-1-1-1-1-2-2111111000000000-112-2002-20000000-11000-1100
χ262222-12-122-2-222-1-122-1-1-12-1-12-2-2111111-2-22-2-2-1-122-1-12-1-1-1-2-21111110000-222-1-1-1-1-1-2-21111110000000001-1-2200-2200000001-10001-100
χ272222-12-122-2-2-2-2-1-122-1-1-12-1-12-2-2111111-2-2-22211-2-2-1-12-1-1-1-2-211111100002-2-21111122-1-1-1-1-1-1000000000-112-200-220000000-110001-100
χ282222-12-122-2-2-2-2-1-122-1-1-12-1-12-2-2111111-2-2-22211-2-2-1-12-1-1-1-2-21111110000-22-21111122-1-1-1-1-1-10000000001-1-22002-200000001-1000-1100
χ29222-1222-122200-12-1-12-12222-122222222-1-10000000-1-1-1-1-1-1-1-1-1-1-1-1-1-122222200000000000000222-1-122-1-122-1-1000000-1-1-1-1-1-1-10000000
χ30222-1222-122200-12-1-12-12222-122222222-1-10000000-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-200000000000000222-1-1-2-211-2-211000000-1-1-111110000000
χ31222-1222-122200-12-1-12-12222-122222222-1-10000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-200000000000000-2-2-21122-1-1-2-211000000111-1-1110000000
χ32222-1222-122200-12-1-12-12222-122222222-1-10000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22200000000000000-2-2-211-2-21122-1-100000011111-1-10000000
χ33222-1222-12-2-200-12-1-12-12222-1-2-2-2-2-2-2-2-2110000000-1-1-1-1-1-111111111222-22-2000000000000002-2-2-1-12-2-112-2-11000000-111-11-110000000
χ34222-1222-12-2-200-12-1-12-12222-1-2-2-2-2-2-2-2-2110000000-1-1-1-1-1-11111111122-22-22000000000000002-2-2-1-1-221-1-221-1000000-1111-11-10000000
χ35222-1222-12-2-200-12-1-12-12222-1-2-2-2-2-2-2-2-2110000000-1-1-1-1-1-111111111-2-22-2-2200000000000000-222112-2-11-221-10000001-1-1-111-10000000
χ36222-1222-12-2-200-12-1-12-12222-1-2-2-2-2-2-2-2-2110000000-1-1-1-1-1-111111111-2-2-222-200000000000000-22211-221-12-2-110000001-1-11-1-110000000
χ3722-122222-122222-1-1-1-122-1-1-12-1-122-1-1-1-12222222-1-1-1-1-12-1-1-1-122-1-1-1-1002200-12-1-1-1-1-1-122-1-1-1-100000-1-1220000000022000-1-10000000-1-1
χ3822-122222-122222-1-1-1-122-1-1-12-1-122-1-1-1-12222222-1-1-1-1-12-1-1-1-122-1-1-1-100-2-200-12-1-1-1-1-1-122-1-1-1-10000011-2-200000000-2-200011000000011
χ3922-122222-122-2-22-1-1-1-122-1-1-12-1-122-1-1-1-122-2-2-2-2-211-1-1-12-1-1-1-122-1-1-1-10022001-2111111-2-2111100000-1-12200000000-2-2000-1-1000000011
χ4022-122222-122-2-22-1-1-1-122-1-1-12-1-122-1-1-1-122-2-2-2-2-211-1-1-12-1-1-1-122-1-1-1-100-2-2001-2111111-2-211110000011-2-20000000022000110000000-1-1
χ4122-122222-1-2-2222-1-1-1-122-1-1-1211-2-21111-2-22-2-222-1-1-1-1-12-1-111-2-21111002-200-12-1-1-1-111-2-2111100000-112-2000000002-2000-110000000-11
χ4222-122222-1-2-2222-1-1-1-122-1-1-1211-2-21111-2-22-2-222-1-1-1-1-12-1-111-2-2111100-2200-12-1-1-1-111-2-21111000001-1-2200000000-220001-100000001-1
χ4322-122222-1-2-2-2-22-1-1-1-122-1-1-1211-2-21111-2-2-222-2-211-1-1-12-1-111-2-21111002-2001-21111-1-122-1-1-1-100000-112-200000000-22000-1100000001-1
χ4422-122222-1-2-2-2-22-1-1-1-122-1-1-1211-2-21111-2-2-222-2-211-1-1-12-1-111-2-2111100-22001-21111-1-122-1-1-1-1000001-1-22000000002-20001-10000000-11
χ452-22220-2-2-22−22i−2i222-2-2-2000002−22−222−2−22−20i2−i22i−2i2i−2i2-200002−22−222−2−22i−2i000000002i−2ii2−i2i2−i2i2i2−i2−i20i2−i22i−2i000000002-200000i2−i2000002−20000
χ462-22220-2-2-22−22i−2i222-2-2-2000002−22−222−2−22−20i2−i22i−2i2i−2i2-200002−22−222−2−2−2i2i000000002i−2ii2−i2i2−i2i2i2−i2−i20−i2i2−2i2i00000000-2200000−i2i200000−220000
χ472-22220-2-2-22−2−2i2i222-2-2-2000002−22−222−2−22−20−i2i2−2i2i−2i2i2-200002−22−222−2−22i−2i00000000−2i2i−i2i2−i2i2−i2−i2i2i20i2−i22i−2i00000000-2200000i2−i200000−220000
χ482-22220-2-2-22−2−2i2i222-2-2-2000002−22−222−2−22−20−i2i2−2i2i−2i2i2-200002−22−222−2−2−2i2i00000000−2i2i−i2i2−i2i2−i2−i2i2i20−i2i2−2i2i000000002-200000−i2i2000002−20000
χ492-22220-2-2-2−222i−2i222-2-2-200000−22−22−2−222−220−i2i22i−2i2i−2i2-20000−22−22−2−2222i−2i000000002i−2i−i2i2−i2i2−i2−i2i2i20−i2i22i−2i000000002-200000−i2i200000−220000
χ502-22220-2-2-2−222i−2i222-2-2-200000−22−22−2−222−220−i2i22i−2i2i−2i2-20000−22−22−2−222−2i2i000000002i−2i−i2i2−i2i2−i2−i2i2i20i2−i2−2i2i00000000-2200000i2−i2000002−20000
χ512-22220-2-2-2−22−2i2i222-2-2-200000−22−22−2−222−220i2−i2−2i2i−2i2i2-20000−22−22−2−2222i−2i00000000−2i2ii2−i2i2−i2i2i2−i2−i20−i2i22i−2i00000000-2200000−i2i2000002−20000
χ522-22220-2-2-2−22−2i2i222-2-2-200000−22−22−2−222−220i2−i2−2i2i−2i2i2-20000−22−22−2−222−2i2i00000000−2i2ii2−i2i2−i2i2i2−i2−i20i2−i2−2i2i000000002-200000i2−i200000−220000
χ534444-2-4-2440044-2-244-2-22-422-40000000000-400-2-244-2-2-422200000000000000-4222-2-200000000000000000000000000000000000000000
χ544444-2-4-24400-4-4-2-244-2-22-422-4000000000040022-4-4-2-2-4222000000000000004-2-2-22200000000000000000000000000000000000000000
χ55444-24-44-240000-24-2-24-2-4-4-4-4200000000000000000-2-222220000000044000000000000000000-400-2-20000000000000020000000000000
χ56444-24-44-240000-24-2-24-2-4-4-4-4200000000000000000-2-2222200000000-4-40000000000000000004002200000000000000-20000000000000
χ57444-2-24-2-2444001-2-2-2-21-24-2-2-244-2-2-2-2-2-2-2-2000000011-2111-2-211111100004400000000000000000000000-2-2-2-200000000000110000000
χ58444-2-24-2-2444001-2-2-2-21-24-2-2-244-2-2-2-2-2-2-2-2000000011-2111-2-21111110000-4-400000000000000000000000222200000000000-1-10000000
χ59444-2-24-2-24-4-4001-2-2-2-21-24-2-2-2-4-422222222000000011-211122-1-1-1-1-1-100004-400000000000000000000000-22-22000000000001-10000000
χ60444-2-24-2-24-4-4001-2-2-2-21-24-2-2-2-4-422222222000000011-211122-1-1-1-1-1-10000-44000000000000000000000002-22-200000000000-110000000
χ6144-244-444-200444-2-2-2-24-4222-40000000000-40044-2-2-2-22-422000000000000002-422-2-200000000000000000000000000000000000000000
χ6244-244-444-200-4-44-2-2-2-24-4222-40000000000400-4-422-2-22-42200000000000000-24-2-22200000000000000000000000000000000000000000
χ6344-24-24-24-24444-21-2-21-2-2-2114-2-2-2-2111144444-2-2-2-211-2-211-2-2-2-21111000000-2-21111-2-2-2-21111000000000000000000000000000000000
χ6444-24-24-24-244-4-4-21-2-21-2-2-2114-2-2-2-2111144-4-4-4222211-2-211-2-2-2-2111100000022-1-1-1-12222-1-1-1-1000000000000000000000000000000000
χ6544-24-24-24-2-4-444-21-2-21-2-2-21142222-1-1-1-1-4-44-4-4-2-2-2-211-2-2112222-1-1-1-1000000-2-211112222-1-1-1-1000000000000000000000000000000000
χ6644-24-24-24-2-4-4-4-4-21-2-21-2-2-21142222-1-1-1-1-4-4-444222211-2-2112222-1-1-1-100000022-1-1-1-1-2-2-2-21111000000000000000000000000000000000
χ6744-24-2-4-24-20044-21-2-21-222-1-1-400003i−3i3i−3i00-400-2-2-2-21122-1-100003i−3i3i−3i00000022-1-11100003i−3i3i−3i000000000000000000000000000000000
χ6844-24-2-4-24-20044-21-2-21-222-1-1-40000−3i3i−3i3i00-400-2-2-2-21122-1-10000−3i3i−3i3i00000022-1-1110000−3i3i−3i3i000000000000000000000000000000000
χ6944-24-2-4-24-200-4-4-21-2-21-222-1-1-400003i−3i3i−3i0040022221122-1-100003i−3i3i−3i000000-2-211-1-10000−3i3i−3i3i000000000000000000000000000000000
χ7044-24-2-4-24-200-4-4-21-2-21-222-1-1-40000−3i3i−3i3i0040022221122-1-10000−3i3i−3i3i000000-2-211-1-100003i−3i3i−3i000000000000000000000000000000000
χ7144-2-2444-2-24400-2-211-2-24-2-2-2-2-2-244-2-2-2-2-2-20000000111-21111-2-211110044000000000000000000000-2-2-2-2000000000000011000000000
χ7244-2-2444-2-24400-2-211-2-24-2-2-2-2-2-244-2-2-2-2-2-20000000111-21111-2-2111100-4-400000000000000000000022220000000000000-1-1000000000
χ7344-2-2444-2-2-4-400-2-211-2-24-2-2-2-222-4-42222220000000111-211-1-122-1-1-1-1004-4000000000000000000000-22-2200000000000001-1000000000
χ7444-2-2444-2-2-4-400-2-211-2-24-2-2-2-222-4-42222220000000111-211-1-122-1-1-1-100-440000000000000000000002-22-20000000000000-11000000000
χ754-444-202-4-422−224i−4i-2-24-4220000022−22−22−2−22222−2202i2−2i2−2i2i4i−4i-22000022−22−22−2−2220000000000−2i2i2i2−2i2−i2i2−i2−i2i2i2000000000000000000000000000000000
χ764-444-202-4-422−22−4i4i-2-24-4220000022−22−22−2−22222−220−2i22i22i−2i−4i4i-22000022−22−22−2−22200000000002i−2i−2i22i2i2−i2i2i2−i2−i2000000000000000000000000000000000
χ774-444-202-4-4−22224i−4i-2-24-42200000−22222−222−2−2−22220−2i22i2−2i2i4i−4i-220000−22222−222−2−20000000000−2i2i−2i22i2i2−i2i2i2−i2−i2000000000000000000000000000000000
χ784-444-202-4-4−2222−4i4i-2-24-42200000−22222−222−2−2−222202i2−2i22i−2i−4i4i-220000−22222−222−2−200000000002i−2i2i2−2i2−i2i2−i2−i2i2i2000000000000000000000000000000000
χ794-44-240-42-422−2200-24-22-420000022−2222−222222−22−22−220000000-220000−22−22−2−2224i−4i00000000000000000002i2−2i2−2i2i000000000000000−i2i200000000000
χ804-44-240-42-422−2200-24-22-420000022−2222−222222−22−22−220000000-220000−22−22−2−222−4i4i0000000000000000000−2i22i22i−2i000000000000000i2−i200000000000
χ814-44-240-42-4−222200-24-22-4200000−2222−2222−22−2222222−20000000-2200002−22−222−2−24i−4i0000000000000000000−2i22i2−2i2i000000000000000i2−i200000000000
χ824-44-240-42-4−222200-24-22-4200000−2222−2222−22−2222222−20000000-2200002−22−222−2−2−4i4i00000000000000000002i2−2i22i−2i000000000000000−i2i200000000000
χ834-4-2440-4-4222−224i−4i4-2-222-400000−2222−22−2−22222−2202i2−2i24i−4i−2i2i-220000−2222−22−2−2220000000000−2i2i−i2i22i2−2i2−i2−i2i2i2000000000000000000000000000000000
χ844-4-2440-4-4222−22−4i4i4-2-222-400000−2222−22−2−22222−220−2i22i2−4i4i2i−2i-220000−2222−22−2−22200000000002i−2ii2−i2−2i22i2i2i2−i2−i2000000000000000000000000000000000
χ854-4-2440-4-42−22224i−4i4-2-222-4000002−2−222222−2−2−22220−2i22i24i−4i−2i2i-2200002−2−222222−2−20000000000−2i2ii2−i2−2i22i2i2i2−i2−i2000000000000000000000000000000000
χ864-4-2440-4-42−2222−4i4i4-2-222-4000002−2−222222−2−2−222202i2−2i2−4i4i2i−2i-2200002−2−222222−2−200000000002i−2i−i2i22i2−2i2−i2−i2i2i2000000000000000000000000000000000
χ874-4-24-202-4222−224i−4i-21-22-12003i−3i0−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ322−2202i2−2i2−2i2i−2i2i1-1003i−3i−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ3000000003-3i−i−i2i2−i2i2−ζ+2ζ32ζ−ζ3ζ−2ζ3−2ζ+ζ3000000000000000000000000000000000
χ884-4-24-202-4222−224i−4i-21-22-1200−3i3i0−22−22−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ322−2202i2−2i2−2i2i−2i2i1-100−3i3i−22−22−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ300000000-33i−i−i2i2−i2i22ζ−ζ3−ζ+2ζ3−2ζ+ζ3ζ−2ζ3000000000000000000000000000000000
χ894-4-24-202-4222−22−4i4i-21-22-12003i−3i0−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ322−220−2i22i22i−2i2i−2i1-1003i−3i−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ300000000-33−iii2−i2i2−i2ζ−2ζ3−2ζ+ζ3−ζ+2ζ32ζ−ζ3000000000000000000000000000000000
χ904-4-24-202-4222−22−4i4i-21-22-1200−3i3i0−22−22−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ322−220−2i22i22i−2i2i−2i1-100−3i3i−22−22−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ3000000003-3−iii2−i2i2−i2−2ζ+ζ3ζ−2ζ32ζ−ζ3−ζ+2ζ3000000000000000000000000000000000
χ914-4-24-202-42−22224i−4i-21-22-12003i−3i02−22−2−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ3−22220−2i22i2−2i2i−2i2i1-1003i−3i2−22−2−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ3000000003-3i−ii2−i2i2−i2ζ−2ζ3−2ζ+ζ3−ζ+2ζ32ζ−ζ3000000000000000000000000000000000
χ924-4-24-202-42−22224i−4i-21-22-1200−3i3i02−22−2ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ3−22220−2i22i2−2i2i−2i2i1-100−3i3i2−22−2ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ300000000-33i−ii2−i2i2−i2−2ζ+ζ3ζ−2ζ32ζ−ζ3−ζ+2ζ3000000000000000000000000000000000
χ934-4-24-202-42−2222−4i4i-21-22-12003i−3i02−22−2−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ3−222202i2−2i22i−2i2i−2i1-1003i−3i2−22−2−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ300000000-33−ii−i2i2−i2i2−ζ+2ζ32ζ−ζ3ζ−2ζ3−2ζ+ζ3000000000000000000000000000000000
χ944-4-24-202-42−2222−4i4i-21-22-1200−3i3i02−22−2ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ3−222202i2−2i22i−2i2i−2i1-100−3i3i2−22−2ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ3000000003-3−ii−i2i2−i2i22ζ−ζ3−ζ+2ζ3−2ζ+ζ3ζ−2ζ3000000000000000000000000000000000
χ95888-4-4-8-4-4800002-4-4-4-424-844400000000000000000224-2-2-20000000000000000000000000000000000000000000000000000000000000
χ9688-4-48-88-4-40000-4-422-4-4-844440000000000000000022-24-2-20000000000000000000000000000000000000000000000000000000000000
χ9788-4-4-48-4-4-48800222222-4-422-4-4-4-4-42222-4-40000000-1-122-1-12222-1-1-1-100000000000000000000000000000000000000000000000000000
χ9888-4-4-48-4-4-4-8-800222222-4-422-44444-2-2-2-2440000000-1-122-1-1-2-2-2-2111100000000000000000000000000000000000000000000000000000
χ9988-4-4-4-8-4-4-4000022222244-2-2400006i−6i6i−6i000000000-1-1-2-2110000−3i3i−3i3i00000000000000000000000000000000000000000000000000000
χ10088-4-4-4-8-4-4-4000022222244-2-240000−6i6i−6i6i000000000-1-1-2-21100003i−3i3i−3i00000000000000000000000000000000000000000000000000000
χ1018-88-4-4044-842−42002-4-444-20000042−42−2222−22−222222−222200000002-20000−22222−222−2−200000000000000000000000000000000000000000000000000000
χ1028-88-4-4044-8−4242002-4-444-200000−424222−222222−22−2222−2200000002-2000022−22−22−2−22200000000000000000000000000000000000000000000000000000
χ1038-8-4-480-84442−4200-4-42-24400000−222242−42−22−222222−222200000002-200002−2−222222−2−200000000000000000000000000000000000000000000000000000
χ1048-8-4-480-844−424200-4-42-2440000022−22−42422222−22−2222−2200000002-20000−2222−22−2−22200000000000000000000000000000000000000000000000000000
χ1058-8-4-4-4044442−4200222-2-2-2006i−6i0−2222−22224ζ+2ζ3−2ζ−4ζ3−4ζ−2ζ32ζ+4ζ3−22220000000-1100−3i3i2−22−2−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ300000000000000000000000000000000000000000000000000000
χ1068-8-4-4-4044442−4200222-2-2-200−6i6i0−2222−2222−2ζ−4ζ34ζ+2ζ32ζ+4ζ3−4ζ−2ζ3−22220000000-11003i−3i2−22−2ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ300000000000000000000000000000000000000000000000000000
χ1078-8-4-4-40444−424200222-2-2-2006i−6i022−2222−22−4ζ−2ζ32ζ+4ζ34ζ+2ζ3−2ζ−4ζ322−220000000-1100−3i3i−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ300000000000000000000000000000000000000000000000000000
χ1088-8-4-4-40444−424200222-2-2-200−6i6i022−2222−222ζ+4ζ3−4ζ−2ζ3−2ζ−4ζ34ζ+2ζ322−220000000-11003i−3i−22−22−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ300000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.