Finite Group Databasebeta

← Group #11776143

Character table — Group #11776143

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222244444444444444444444488888888888888888888889999121212121212121218181818242424242424242424242424363636363648484848
order12223344446666663466688881212121212121212121212121212121212122424242424242424242424242424242444448888888822442244242424242424242448888661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-111
χ5111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-11111
χ7111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11111-1-111
χ8111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1111111-1-1
χ9111111-1-1-1-111111111111ii−i−i-1-1-1-1-1-1-1-1-1-1-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−i1111ii−i−iii−i−i-1-1-1-11-11-1ii−i−iii−i−i1ii−i−i1-11-1
χ10111111-1-1-1-111111111111ii−i−i-1-1-1-1-1-1-1-1-1-1-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−i1111−i−iii−i−iii-1-1-1-1-11-11−i−iii−i−iii1ii−i−i-11-11
χ11111111-1-1-1-111111111111ii−i−i-1-1-1-1-1-1-1-1-1-1-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1ii−i−i−i−iii11111-1-11ii−i−i−i−iii-1−i−iii1-1-11
χ12111111-1-1-1-111111111111ii−i−i-1-1-1-1-1-1-1-1-1-1-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1−i−iiiii−i−i1111-111-1−i−iiiii−i−i-1−i−iii-111-1
χ13111111-1-1-1-111111111111−i−iii-1-1-1-1-1-1-1-1-1-1-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii1111ii−i−iii−i−i-1-1-1-1-11-11ii−i−iii−i−i1−i−iii-11-11
χ14111111-1-1-1-111111111111−i−iii-1-1-1-1-1-1-1-1-1-1-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii1111−i−iii−i−iii-1-1-1-11-11-1−i−iii−i−iii1−i−iii1-11-1
χ15111111-1-1-1-111111111111−i−iii-1-1-1-1-1-1-1-1-1-1-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1ii−i−i−i−iii1111-111-1ii−i−i−i−iii-1ii−i−i-111-1
χ16111111-1-1-1-111111111111−i−iii-1-1-1-1-1-1-1-1-1-1-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1−i−iiiii−i−i11111-1-11−i−iiiii−i−i-1ii−i−i1-1-11
χ172222222-2-222222222-222200002-2-22222222-2-2-2-2-2-2-2-2000000000000000022220000000022-2-2000000000000-200000000
χ182222222-2-222222222-222200002-2-22222222-2-2-2-2-2-2-2-20000000000000000-2-2-2-200000000-2-222000000000000200000000
χ19222222-222-22222222-22220000-222-2-2-2-2-2-2-222-2-2-2-2220000000000000000222200000000-2-222000000000000-200000000
χ20222222-222-22222222-22220000-222-2-2-2-2-2-2-222-2-2-2-2220000000000000000-2-2-2-20000000022-2-2000000000000200000000
χ2122222-1222222-1-1-12-12-1-1-12222-12-12-1-1-12-1-12-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100002222000000002200-1-1-1-1000000000-1-100
χ2222222-1222222-1-1-12-12-1-1-12222-12-12-1-1-12-1-12-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000-2-2-2-200000000-2-20011110000000001100
χ2322222-1222222-1-1-12-12-1-1-1-2-2-2-2-12-12-1-1-12-1-12-12-1-1-1-1-1-2-2111111-2-21111110000222200000000-2-200-1-1-1-10000000001100
χ2422222-1222222-1-1-12-12-1-1-1-2-2-2-2-12-12-1-1-12-1-12-12-1-1-1-1-1-2-2111111-2-21111110000-2-2-2-20000000022001111000000000-1-100
χ2522222-1-2-2-2-222-1-1-12-12-1-1-12i2i−2i−2i1-21-2111-211-212-1-1-1112i2i−i−i−i−i−i−i−2i−2iiiiiii00002i2i−2i−2i000000002-200−i−iii000000000-1100
χ2622222-1-2-2-2-222-1-1-12-12-1-1-12i2i−2i−2i1-21-2111-211-212-1-1-1112i2i−i−i−i−i−i−i−2i−2iiiiiii0000−2i−2i2i2i00000000-2200ii−i−i0000000001-100
χ2722222-1-2-2-2-222-1-1-12-12-1-1-1−2i−2i2i2i1-21-2111-211-212-1-1-111−2i−2iiiiiii2i2i−i−i−i−i−i−i00002i2i−2i−2i00000000-2200−i−iii0000000001-100
χ2822222-1-2-2-2-222-1-1-12-12-1-1-1−2i−2i2i2i1-21-2111-211-212-1-1-111−2i−2iiiiiii2i2i−i−i−i−i−i−i0000−2i−2i2i2i000000002-200ii−i−i000000000-1100
χ292222-122222-1-1222-1-12-1-1-122222-12-1-1-12-1-1-1-12-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000002222000000220000-1-1-1-10000000-1-1
χ302222-122222-1-1222-1-12-1-1-122222-12-1-1-12-1-1-1-12-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100000000-2-2-2-2000000-2-200001111000000011
χ312222-122222-1-1222-1-12-1-1-1-2-2-2-22-12-1-1-12-1-1-1-12-12-1-1-1-111-2-2111111-2-21111000000002222000000-2-20000-1-1-1-1000000011
χ322222-122222-1-1222-1-12-1-1-1-2-2-2-22-12-1-1-12-1-1-1-12-12-1-1-1-111-2-2111111-2-2111100000000-2-2-2-200000022000011110000000-1-1
χ332222-12-2-2-2-2-1-1222-1-12-1-1-12i2i−2i−2i-21-2111-21111-2-12-1-111−i−i2i2i−i−i−i−iii−2i−2iiiii000000002i2i−2i−2i0000002-20000−i−iii0000000-11
χ342222-12-2-2-2-2-1-1222-1-12-1-1-12i2i−2i−2i-21-2111-21111-2-12-1-111−i−i2i2i−i−i−i−iii−2i−2iiiii00000000−2i−2i2i2i000000-220000ii−i−i00000001-1
χ352222-12-2-2-2-2-1-1222-1-12-1-1-1−2i−2i2i2i-21-2111-21111-2-12-1-111ii−2i−2iiiii−i−i2i2i−i−i−i−i000000002i2i−2i−2i000000-220000−i−iii00000001-1
χ362222-12-2-2-2-2-1-1222-1-12-1-1-1−2i−2i2i2i-21-2111-21111-2-12-1-111ii−2i−2iiiii−i−i2i2i−i−i−i−i00000000−2i−2i2i2i0000002-20000ii−i−i0000000-11
χ3722-2-22202-202-22-2-2-2202-2-2i2−i2i2−i20-2200000002-200002-2i2−i2i2−i2i2i2−i2−i2i2−i2i2−i2i2i2−i2−i22i2i−2i−2i00000000002i−2i00000000000002−22−20000
χ3822-2-22202-202-22-2-2-2202-2-2i2−i2i2−i20-2200000002-200002-2i2−i2i2−i2i2i2−i2−i2i2−i2i2−i2i2i2−i2−i2−2i−2i2i2i0000000000−2i2i0000000000000−22−220000
χ3922-2-22202-202-22-2-2-2202-2-2−i2i2−i2i20-2200000002-200002-2−i2i2−i2i2−i2−i2i2i2−i2i2−i2i2−i2−i2i2i22i2i−2i−2i00000000002i−2i0000000000000−22−220000
χ4022-2-22202-202-22-2-2-2202-2-2−i2i2−i2i20-2200000002-200002-2−i2i2−i2i2−i2−i2i2i2−i2i2−i2i2−i2−i2i2i2−2i−2i2i2i0000000000−2i2i00000000000002−22−20000
χ4122-2-2220-2202-22-2-2-2202-2-22−2−2202-20000000-220000-222−22−222−2−2−22−22−2−2222i2i−2i−2i0000000000−2i2i0000000000000−i2i2i2−i20000
χ4222-2-2220-2202-22-2-2-2202-2-22−2−2202-20000000-220000-222−22−222−2−2−22−22−2−222−2i−2i2i2i00000000002i−2i0000000000000i2−i2−i2i20000
χ4322-2-2220-2202-22-2-2-2202-2-2−222−202-20000000-220000-22−22−22−2−2222−22−222−2−22i2i−2i−2i0000000000−2i2i0000000000000i2−i2−i2i20000
χ4422-2-2220-2202-22-2-2-2202-2-2−222−202-20000000-220000-22−22−22−2−2222−22−222−2−2−2i−2i2i2i00000000002i−2i0000000000000−i2i2i2−i20000
χ452-2-2222200-2-2-2-22-2220-22-20000200222-2-2-2-20000000000000000000000002-22-2i2−i2i2−i2i2−i2i2−i22-2000000i2−i2i2−i2i2−i2i2−i2000000000
χ462-2-2222200-2-2-2-22-2220-22-20000200222-2-2-2-20000000000000000000000002-22-2−i2i2−i2i2−i2i2−i2i22-2000000−i2i2−i2i2−i2i2−i2i2000000000
χ472-2-2222200-2-2-2-22-2220-22-20000200222-2-2-2-2000000000000000000000000-22-22i2−i2i2−i2−i2i2−i2i2-22000000i2−i2i2−i2−i2i2−i2i2000000000
χ482-2-2222200-2-2-2-22-2220-22-20000200222-2-2-2-2000000000000000000000000-22-22−i2i2−i2i2i2−i2i2−i2-22000000−i2i2−i2i2i2−i2i2−i2000000000
χ492-2-2222-2002-2-2-22-2220-22-20000-200-2-2-222220000000000000000000000002-22-22−2−222−2−22-220000002−2−222−2−22000000000
χ502-2-2222-2002-2-2-22-2220-22-20000-200-2-2-222220000000000000000000000002-22-2−222−2−222−2-22000000−222−2−222−2000000000
χ512-2-2222-2002-2-2-22-2220-22-20000-200-2-2-22222000000000000000000000000-22-222−2−22−222−22-20000002−2−22−222−2000000000
χ522-2-2222-2002-2-2-22-2220-22-20000-200-2-2-22222000000000000000000000000-22-22−222−22−2−222-2000000−222−22−2−22000000000
χ5344444-24-4-4444-2-2-24-2-4-2-2-20000-2-424-2-2-24-2-2-42-42222200000000000000000000000000000000000000000000000000000
χ5444444-2-444-444-2-2-24-2-4-2-2-2000024-2-4222-4224-2-4222-2-200000000000000000000000000000000000000000000000000000
χ554444-244-4-44-2-2444-2-2-4-2-2-2000042-4-2-2-24-2-2-22-42-4222200000000000000000000000000000000000000000000000000000
χ564444-24-444-4-2-2444-2-2-4-2-2-20000-4-24222-4222-242-422-2-200000000000000000000000000000000000000000000000000000
χ574444-2-24444-2-2-2-2-2-2141114444-2-2-2-211-2-211-2-2-2-21111-2-2-2-21111-2-2-2-211110000000000000000000000000000000000000
χ584444-2-24444-2-2-2-2-2-214111-4-4-4-4-2-2-2-211-2-211-2-2-2-211112222-1-1-1-12222-1-1-1-10000000000000000000000000000000000000
χ594444-2-24-4-44-2-2-2-2-2-21-41110000-222-211-2-2112222-1-1-1-100003-33-300003-33-30000000000000000000000000000000000000
χ604444-2-24-4-44-2-2-2-2-2-21-41110000-222-211-2-2112222-1-1-1-10000-33-330000-33-330000000000000000000000000000000000000
χ614444-2-2-444-4-2-2-2-2-2-21-411100002-2-22-1-122-1-1-2-222-1-11100003i−3i3i−3i0000−3i3i−3i3i0000000000000000000000000000000000000
χ624444-2-2-444-4-2-2-2-2-2-21-411100002-2-22-1-122-1-1-2-222-1-1110000−3i3i−3i3i00003i−3i3i−3i0000000000000000000000000000000000000
χ634444-2-2-4-4-4-4-2-2-2-2-2-2141114i4i−4i−4i2222-1-122-1-122-2-211-1-1−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i0000000000000000000000000000000000000
χ644444-2-2-4-4-4-4-2-2-2-2-2-214111−4i−4i4i4i2222-1-122-1-122-2-211-1-12i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii0000000000000000000000000000000000000
χ6544-4-44-204-404-4-222-4-20-2222i2−2i22i2−2i20-4-20000000420000-222i2−2i2−i2i2−i2−i2i2i22i2−2i2−i2i2−i2−i2i2i20000000000000000000000000000000000000
χ6644-4-44-204-404-4-222-4-20-222−2i22i2−2i22i20-4-20000000420000-22−2i22i2i2−i2i2i2−i2−i2−2i22i2i2−i2i2i2−i2−i20000000000000000000000000000000000000
χ6744-4-44-20-4404-4-222-4-20-22222−22−22220420000000-4-200002-222−22−22−2−222−22222−222−2−20000000000000000000000000000000000000
χ6844-4-44-20-4404-4-222-4-20-222−222222−220420000000-4-200002-2−22222−222−2−222−22−22−2−2220000000000000000000000000000000000000
χ6944-4-4-2404-40-224-4-42-20-2222i2−2i22i2−2i20240000000-2-40000-22−i2i22i2−2i2−i2−i2i2i2−i2i22i2−2i2−i2−i2i2i20000000000000000000000000000000000000
χ7044-4-4-2404-40-224-4-42-20-222−2i22i2−2i22i20240000000-2-40000-22i2−i2−2i22i2i2i2−i2−i2i2−i2−2i22i2i2i2−i2−i20000000000000000000000000000000000000
χ7144-4-4-240-440-224-4-42-20-22222−22−22220-2-400000002400002-2−2222−22−2−2222−2−222222−2−20000000000000000000000000000000000000
χ7244-4-4-240-440-224-4-42-20-222−222222−220-2-400000002400002-22−2−222222−2−2−2222−22−2−2220000000000000000000000000000000000000
χ7344-4-4-2-204-40-22-2222101-1-12i2−2i22i2−2i202-203i−3i003i−3i-22003i−3i1-1−i2i2−i2i22ζ−ζ3−ζ+2ζ3−2ζ+ζ3ζ−2ζ3−i2i2−i2i2−ζ+2ζ32ζ−ζ3ζ−2ζ3−2ζ+ζ30000000000000000000000000000000000000
χ7444-4-4-2-204-40-22-2222101-1-12i2−2i22i2−2i202-20−3i3i00−3i3i-2200−3i3i1-1−i2i2−i2i2−ζ+2ζ32ζ−ζ3ζ−2ζ3−2ζ+ζ3−i2i2−i2i22ζ−ζ3−ζ+2ζ3−2ζ+ζ3ζ−2ζ30000000000000000000000000000000000000
χ7544-4-4-2-204-40-22-2222101-1-1−2i22i2−2i22i202-203i−3i003i−3i-22003i−3i1-1i2−i2i2−i2−2ζ+ζ3ζ−2ζ32ζ−ζ3−ζ+2ζ3i2−i2i2−i2ζ−2ζ3−2ζ+ζ3−ζ+2ζ32ζ−ζ30000000000000000000000000000000000000
χ7644-4-4-2-204-40-22-2222101-1-1−2i22i2−2i22i202-20−3i3i00−3i3i-2200−3i3i1-1i2−i2i2−i2ζ−2ζ3−2ζ+ζ3−ζ+2ζ32ζ−ζ3i2−i2i2−i2−2ζ+ζ3ζ−2ζ32ζ−ζ3−ζ+2ζ30000000000000000000000000000000000000
χ7744-4-4-2-20-440-22-2222101-1-122−22−22220-2203i−3i003i−3i2-200−3i3i-11−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ32−22−2ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ30000000000000000000000000000000000000
χ7844-4-4-2-20-440-22-2222101-1-122−22−22220-220−3i3i00−3i3i2-2003i−3i-11−22−22−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ32−22−2−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ30000000000000000000000000000000000000
χ7944-4-4-2-20-440-22-2222101-1-1−222222−220-2203i−3i003i−3i2-200−3i3i-112−22−2−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ3−22−22−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ30000000000000000000000000000000000000
χ8044-4-4-2-20-440-22-2222101-1-1−222222−220-220−3i3i00−3i3i2-2003i−3i-112−22−2ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ3−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ30000000000000000000000000000000000000
χ814-44-4440000-44-4-44-440-4-44000000000000000000000000000000000000004i−4i−4i4i000000000000000000000000000000000
χ824-44-4440000-44-4-44-440-4-4400000000000000000000000000000000000000−4i4i4i−4i000000000000000000000000000000000
χ834-4-444-2400-4-4-42-224-202-220000-2004-2-22-42200000000000000000000000000002i2−2i22i2−2i2000000000000−i2i2−i2i20000000000000
χ844-4-444-2400-4-4-42-224-202-220000-2004-2-22-4220000000000000000000000000000−2i22i2−2i22i2000000000000i2−i2i2−i20000000000000
χ854-4-444-2-4004-4-42-224-202-220000200-422-24-2-2000000000000000000000000000022−22−2222000000000000−222−20000000000000
χ864-4-444-2-4004-4-42-224-202-220000200-422-24-2-20000000000000000000000000000−222222−220000000000002−2−220000000000000
χ874-4-44-24400-422-44-4-2-202-220000400-2-2-2-4222000000000000000000000000000000002i2−2i22i2−2i2000000000000−i2i2−i2i2000000000
χ884-4-44-24400-422-44-4-2-202-220000400-2-2-2-422200000000000000000000000000000000−2i22i2−2i22i2000000000000i2−i2i2−i2000000000
χ894-4-44-24-400422-44-4-2-202-220000-4002224-2-2-20000000000000000000000000000000022−22−2222000000000000−222−2000000000
χ904-4-44-24-400422-44-4-2-202-220000-4002224-2-2-200000000000000000000000000000000−222222−220000000000002−2−22000000000
χ918-88-88-40000-8844-4-8-4044-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ928-88-8-4800004-4-8-884-4044-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ938-88-8-4-400004-444-4420-2-22000000006i−6i00−6i6i0000000000000000000000000000000000000000000000000000000000000
χ948-88-8-4-400004-444-4420-2-2200000000−6i6i006i−6i0000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-4800-8444-44-420-22-20000-400-42244-2-20000000000000000000000000000000000000000000000000000000000000
χ968-8-88-4-4-8008444-44-420-22-200004004-2-2-4-4220000000000000000000000000000000000000000000000000000000000000

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