Finite Group Databasebeta

← Group #11865762

Character table — Group #11865762

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222244444444444444444444488888888888888888888889999121212121212121218181818242424242424242424242424363636363648484848
order122233444466666634666888812121212121212121212121212121212121224242424242424242424242424242424444422444444224422446612121212121248888661212
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
χ9111111-1-1111111111-111111-1-11-1-1-1-11111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11-11-111-1-1-1-111-111-1-11-11-1
χ10111111-1-1111111111-111111-1-11-1-1-1-11111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-11-11-1-11111-1-1-111-1-1-11-11
χ11111111-1-1111111111-111111-1-11-1-1-1-11111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111-1-1111-1-111-1-11-1-1111-1-11
χ12111111-1-1111111111-111111-1-11-1-1-1-11111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-111-1-1-111-1-1111-1-111-111-1
χ13111111-1-1111111111-1111-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-11-1111-1-1-1-111-1-1-111-11-11
χ14111111-1-1111111111-1111-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-111-1-11-11-1-1-11111-1-1-1-1-1111-11-1
χ15111111-1-1111111111-1111-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-111-111-111-1-111-1-1111-1-1-111-1
χ16111111-1-1111111111-1111-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1111-1-11-1-111-1-111111-1-11-1-11
χ1722222222-2-22222222-22220000-22222-2-2-2-2-2-2-2-2-222-2-20000000000000000222200000000-2-222000000000000-200000000
χ1822222222-2-22222222-22220000-22222-2-2-2-2-2-2-2-2-222-2-20000000000000000-2-2-2-20000000022-2-2000000000000200000000
χ19222222-2-2-2-2222222222220000-2-2-2-2-2-2-2-2-2-2-2-222-2-2220000000000000000222200000000-2-2-2-2000000000000200000000
χ20222222-2-2-2-2222222222220000-2-2-2-2-2-2-2-2-2-2-2-222-2-2220000000000000000-2-2-2-2000000002222000000000000-200000000
χ2122222-122222-1-12-12-12-1-1-12222-122-1-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100002222000000002200-1-1-1-1000000000-1-100
χ2222222-122222-1-12-12-12-1-1-12222-122-1-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000-2-2-2-200000000-2-20011110000000001100
χ2322222-122222-1-12-12-12-1-1-1-2-2-2-2-122-1-12-1-1-12-1-1-12-1-1-1-1-2-2111111-2-21111110000222200000000-2-200-1-1-1-10000000001100
χ2422222-122222-1-12-12-12-1-1-1-2-2-2-2-122-1-12-1-1-12-1-1-12-1-1-1-1-2-2111111-2-21111110000-2-2-2-20000000022001111000000000-1-100
χ2522222-1-2-2222-1-12-12-1-2-1-1-122-2-2-1-2-2112-1-1-12-1-11-2111122-1-1-1-1-1-1-2-2111111000022-2-2000000002-200-1-111000000000-1100
χ2622222-1-2-2222-1-12-12-1-2-1-1-122-2-2-1-2-2112-1-1-12-1-11-2111122-1-1-1-1-1-1-2-21111110000-2-22200000000-220011-1-10000000001-100
χ2722222-1-2-2222-1-12-12-1-2-1-1-1-2-222-1-2-2112-1-1-12-1-11-21111-2-211111122-1-1-1-1-1-1000022-2-200000000-2200-1-1110000000001-100
χ2822222-1-2-2222-1-12-12-1-2-1-1-1-2-222-1-2-2112-1-1-12-1-11-21111-2-211111122-1-1-1-1-1-10000-2-222000000002-20011-1-1000000000-1100
χ292222-122222-122-12-1-12-1-1-122222-1-122-1-1-12-1-1-12-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000002222000000220000-1-1-1-10000000-1-1
χ302222-122222-122-12-1-12-1-1-122222-1-122-1-1-12-1-1-12-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100000000-2-2-2-2000000-2-200001111000000011
χ312222-122222-122-12-1-12-1-1-1-2-2-2-22-1-122-1-1-12-1-1-12-1-1-1-1-111-2-2111111-2-21111000000002222000000-2-20000-1-1-1-1000000011
χ322222-122222-122-12-1-12-1-1-1-2-2-2-22-1-122-1-1-12-1-1-12-1-1-1-1-111-2-2111111-2-2111100000000-2-2-2-200000022000011110000000-1-1
χ332222-12-2-222-122-12-1-1-2-1-1-122-2-2211-2-2-1-1-12-1-1-1-211111-1-122-1-1-1-111-2-211110000000022-2-2000000-220000-1-11100000001-1
χ342222-12-2-222-122-12-1-1-2-1-1-122-2-2211-2-2-1-1-12-1-1-1-211111-1-122-1-1-1-111-2-2111100000000-2-2220000002-2000011-1-10000000-11
χ352222-12-2-222-122-12-1-1-2-1-1-1-2-222211-2-2-1-1-12-1-1-1-21111111-2-21111-1-122-1-1-1-10000000022-2-20000002-20000-1-1110000000-11
χ362222-12-2-222-122-12-1-1-2-1-1-1-2-222211-2-2-1-1-12-1-1-1-21111111-2-21111-1-122-1-1-1-100000000-2-222000000-22000011-1-100000001-1
χ3722-2-2222-2002-2-2-22-2202-2-22−22−202-22-20000000002-2002−22−222−2−22−22−222−2−22i2i−2i−2i00000000002i−2i0000000000000i2−i2i2−i20000
χ3822-2-2222-2002-2-2-22-2202-2-22−22−202-22-20000000002-2002−22−222−2−22−22−222−2−2−2i−2i2i2i0000000000−2i2i0000000000000−i2i2−i2i20000
χ3922-2-2222-2002-2-2-22-2202-2-2−22−2202-22-20000000002-200−22−22−2−222−22−22−2−2222i2i−2i−2i00000000002i−2i0000000000000−i2i2−i2i20000
χ4022-2-2222-2002-2-2-22-2202-2-2−22−2202-22-20000000002-200−22−22−2−222−22−22−2−222−2i−2i2i2i0000000000−2i2i0000000000000i2−i2i2−i20000
χ4122-2-222-22002-2-2-22-2202-2-22−2−220-22-22000000000-22002−22−222−2−2−22−22−2−2222i2i−2i−2i0000000000−2i2i0000000000000i2−i2−i2i20000
χ4222-2-222-22002-2-2-22-2202-2-22−2−220-22-22000000000-22002−22−222−2−2−22−22−2−222−2i−2i2i2i00000000002i−2i0000000000000−i2i2i2−i20000
χ4322-2-222-22002-2-2-22-2202-2-2−222−20-22-22000000000-2200−22−22−2−2222−22−222−2−22i2i−2i−2i0000000000−2i2i0000000000000−i2i2i2−i20000
χ4422-2-222-22002-2-2-22-2202-2-2−222−20-22-22000000000-2200−22−22−2−2222−22−222−2−2−2i−2i2i2i00000000002i−2i0000000000000i2−i2−i2i20000
χ452-2-2222002-2-22-2-2-2220-22-2000020000222-2-2-2-200000000000000000000002-22-2002i−2i2i−2i002-2000000002i−2i2i−2i00000000000
χ462-2-2222002-2-22-2-2-2220-22-2000020000222-2-2-2-200000000000000000000002-22-200−2i2i−2i2i002-200000000−2i2i−2i2i00000000000
χ472-2-2222002-2-22-2-2-2220-22-2000020000222-2-2-2-20000000000000000000000-22-22002i−2i−2i2i00-22000000002i−2i−2i2i00000000000
χ482-2-2222002-2-22-2-2-2220-22-2000020000222-2-2-2-20000000000000000000000-22-2200−2i2i2i−2i00-2200000000−2i2i2i−2i00000000000
χ492-2-222200-22-22-2-2-2220-22-20000-20000-2-2-2222200000000000000000000002-22-22-200002-2-220000002-200002-2000000000
χ502-2-222200-22-22-2-2-2220-22-20000-20000-2-2-2222200000000000000000000002-22-2-220000-22-22000000-220000-22000000000
χ512-2-222200-22-22-2-2-2220-22-20000-20000-2-2-222220000000000000000000000-22-222-20000-222-20000002-20000-22000000000
χ522-2-222200-22-22-2-2-2220-22-20000-20000-2-2-222220000000000000000000000-22-22-2200002-22-2000000-2200002-2000000000
χ5344444-244-4-44-2-24-24-2-4-2-2-20000244-2-2-4222-4222-4-2-22200000000000000000000000000000000000000000000000000000
χ5444444-2-4-4-4-44-2-24-24-24-2-2-200002-4-422-4222-422-2422-2-200000000000000000000000000000000000000000000000000000
χ554444-2444-4-4-244-24-2-2-4-2-2-20000-4-2-244222-4222-42-2-22200000000000000000000000000000000000000000000000000000
χ564444-24-4-4-4-4-244-24-2-24-2-2-20000-422-4-4222-42224-222-2-200000000000000000000000000000000000000000000000000000
χ574444-2-24444-2-2-2-2-2-2141114444-2-2-2-2-2-211-2-211-2-21111-2-2-2-21111-2-2-2-211110000000000000000000000000000000000000
χ584444-2-24444-2-2-2-2-2-214111-4-4-4-4-2-2-2-2-2-211-2-211-2-211112222-1-1-1-12222-1-1-1-10000000000000000000000000000000000000
χ594444-2-244-4-4-2-2-2-2-2-21-411100002-2-2-2-22-1-122-1-12211-1-100003i−3i3i−3i00003i−3i3i−3i0000000000000000000000000000000000000
χ604444-2-244-4-4-2-2-2-2-2-21-411100002-2-2-2-22-1-122-1-12211-1-10000−3i3i−3i3i0000−3i3i−3i3i0000000000000000000000000000000000000
χ614444-2-2-4-444-2-2-2-2-2-21-411144-4-4-22222-211-2-21122-1-1-1-1-2-2-2-211112222-1-1-1-10000000000000000000000000000000000000
χ624444-2-2-4-444-2-2-2-2-2-21-4111-4-444-22222-211-2-21122-1-1-1-12222-1-1-1-1-2-2-2-211110000000000000000000000000000000000000
χ634444-2-2-4-4-4-4-2-2-2-2-2-2141110000222222-1-122-1-1-2-2-1-11100003i−3i3i−3i0000−3i3i−3i3i0000000000000000000000000000000000000
χ644444-2-2-4-4-4-4-2-2-2-2-2-2141110000222222-1-122-1-1-2-2-1-1110000−3i3i−3i3i00003i−3i3i−3i0000000000000000000000000000000000000
χ6544-4-44-24-400422-4-2-4-20-22222−2222−2204-4-22000000000-220022−22−22−2−22222−22−22−2−2220000000000000000000000000000000000000
χ6644-4-44-24-400422-4-2-4-20-222−2222−222204-4-22000000000-2200−22222−222−2−2−22222−222−2−20000000000000000000000000000000000000
χ6744-4-44-2-4400422-4-2-4-20-22222−22−22220-442-20000000002-20022−22−22−2−222−22222−222−2−20000000000000000000000000000000000000
χ6844-4-44-2-4400422-4-2-4-20-222−222222−220-442-20000000002-200−22222−222−2−222−22−22−2−2220000000000000000000000000000000000000
χ6944-4-4-244-400-2-4-4242-20-22222−2222−220-224-4000000000-2200−2222−22−2−222−2222−22−2−2220000000000000000000000000000000000000
χ7044-4-4-244-400-2-4-4242-20-222−2222−22220-224-4000000000-22002−2−222222−2−22−2−222222−2−20000000000000000000000000000000000000
χ7144-4-4-24-4400-2-4-4242-20-22222−22−222202-2-440000000002-200−2222−22−2−2222−2−222222−2−20000000000000000000000000000000000000
χ7244-4-4-24-4400-2-4-4242-20-222−222222−2202-2-440000000002-2002−2−222222−2−2−2222−22−2−2220000000000000000000000000000000000000
χ7344-4-4-2-24-400-2222-22101-1-122−2222−220-22-2203i−3i003i−3i001-13i−3i−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ3−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ30000000000000000000000000000000000000
χ7444-4-4-2-24-400-2222-22101-1-122−2222−220-22-220−3i3i00−3i3i001-1−3i3i−22−22−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ3−22−22−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ30000000000000000000000000000000000000
χ7544-4-4-2-24-400-2222-22101-1-1−2222−22220-22-2203i−3i003i−3i001-13i−3i2−22−2−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ32−22−2−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ30000000000000000000000000000000000000
χ7644-4-4-2-24-400-2222-22101-1-1−2222−22220-22-220−3i3i00−3i3i001-1−3i3i2−22−2ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ32−22−2ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ30000000000000000000000000000000000000
χ7744-4-4-2-2-4400-2222-22101-1-122−22−222202-22-203i−3i003i−3i00-11−3i3i−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ32−22−2−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ30000000000000000000000000000000000000
χ7844-4-4-2-2-4400-2222-22101-1-122−22−222202-22-20−3i3i00−3i3i00-113i−3i−22−22−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ32−22−2ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ30000000000000000000000000000000000000
χ7944-4-4-2-2-4400-2222-22101-1-1−222222−2202-22-203i−3i003i−3i00-11−3i3i2−22−2−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ3−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ30000000000000000000000000000000000000
χ8044-4-4-2-2-4400-2222-22101-1-1−222222−2202-22-20−3i3i00−3i3i00-113i−3i2−22−2ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ3−22−22−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ30000000000000000000000000000000000000
χ814-44-4440000-4-444-4-440-4-44000000000000000000000000000000000000004i−4i−4i4i000000000000000000000000000000000
χ824-44-4440000-4-444-4-440-4-4400000000000000000000000000000000000000−4i4i4i−4i000000000000000000000000000000000
χ834-4-444-2004-4-4-22-424-202-220000-200004-2-22-42200000000000000000000000000004i−4i00000000000000−2i2i0000000000000
χ844-4-444-2004-4-4-22-424-202-220000-200004-2-22-4220000000000000000000000000000−4i4i000000000000002i−2i0000000000000
χ854-4-444-200-44-4-22-424-202-22000020000-422-24-2-2000000000000000000000000004-400000000000000-22000000000000000
χ864-4-444-200-44-4-22-424-202-22000020000-422-24-2-200000000000000000000000000-44000000000000002-2000000000000000
χ874-4-44-24004-424-42-4-2-202-22000040000-2-2-2-42220000000000000000000000000000004i−4i00000000000000−2i2i00000000000
χ884-4-44-24004-424-42-4-2-202-22000040000-2-2-2-4222000000000000000000000000000000−4i4i000000000000002i−2i00000000000
χ894-4-44-2400-4424-42-4-2-202-220000-400002224-2-2-2000000000000000000000000000000004-400000000000000-22000000000
χ904-4-44-2400-4424-42-4-2-202-220000-400002224-2-2-200000000000000000000000000000000-44000000000000002-2000000000
χ918-88-88-40000-84-484-8-4044-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ928-88-8-4800004-88-4-84-4044-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ938-88-8-4-4000044-4-44420-2-2200000000006i−6i00−6i6i00000000000000000000000000000000000000000000000000000000000
χ948-88-8-4-4000044-4-44420-2-220000000000−6i6i006i−6i00000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-4008-84-4444-420-22-20000-40000-42244-2-200000000000000000000000000000000000000000000000000000000000
χ968-8-88-4-400-884-4444-420-22-20000400004-2-2-4-42200000000000000000000000000000000000000000000000000000000000

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