Finite Group Databasebeta

← Group #11870454

Character table — Group #11870454

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222244444444444444444444488888888888888888888889999121212121212121218181818242424242424242424242424363636363648484848
order1222334444666666346668888121212121212121212121212121212121212242424242424242424242424242424244444222244442244224466661212121248888661212
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
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-111
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
χ7111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-11111-1-111
χ8111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111-1-1-1-111-1111111-1-1
χ9111111-1-1111111111-111111-1-111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1111-11-1-1-111-1-111-111-1-11-11-1
χ10111111-1-1111111111-111111-1-111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-11-1111-1-111-1-1-111-1-1-11-11
χ11111111-1-1111111111-111111-1-111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11-1-111111-1-1-1-11-1-1111-1-11
χ12111111-1-1111111111-111111-1-111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1-1-1-1-111111-1-111-111-1
χ13111111-1-1111111111-1111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-111-11-11-1-111-1-111-1-1-111-11-11
χ14111111-1-1111111111-1111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1111-11-111-1-111-1-1-1-1-1111-11-1
χ15111111-1-1111111111-1111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-111-11111-1-1-1-1111-1-1-111-1
χ16111111-1-1111111111-1111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-11-1-11-1-1-1-11111111-1-11-1-11
χ1722222222-2-22222222-22220000-2-22222-2-2-2-2-2-2-2-222-2-2000000000000000022220000000022-2-2000000000000-200000000
χ1822222222-2-22222222-22220000-2-22222-2-2-2-2-2-2-2-222-2-20000000000000000-2-2-2-200000000-2-222000000000000200000000
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
χ2122222-1222222-1-1-12-12-1-1-122222-1-1-122-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000220022000000220000-1-1-1-10000000-1-100
χ2222222-1222222-1-1-12-12-1-1-122222-1-1-122-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000-2-200-2-2000000-2-20000111100000001100
χ2322222-1222222-1-1-12-12-1-1-1-2-2-2-22-1-1-122-1-12-1-1-12-1-1-1-1-1-2-2111111-2-21111110000220022000000-2-20000-1-1-1-100000001100
χ2422222-1222222-1-1-12-12-1-1-1-2-2-2-22-1-1-122-1-12-1-1-12-1-1-1-1-1-2-2111111-2-21111110000-2-200-2-200000022000011110000000-1-100
χ2522222-1-2-22222-1-1-12-1-2-1-1-122-2-22-111-2-2-1-12-1-1-1-21111122-1-1-1-1-1-1-2-211111100002200-2-20000002-20000-1-1110000000-1100
χ2622222-1-2-22222-1-1-12-1-2-1-1-122-2-22-111-2-2-1-12-1-1-1-21111122-1-1-1-1-1-1-2-21111110000-2-20022000000-22000011-1-100000001-100
χ2722222-1-2-22222-1-1-12-1-2-1-1-1-2-2222-111-2-2-1-12-1-1-1-211111-2-211111122-1-1-1-1-1-100002200-2-2000000-220000-1-11100000001-100
χ2822222-1-2-22222-1-1-12-1-2-1-1-1-2-2222-111-2-2-1-12-1-1-1-211111-2-211111122-1-1-1-1-1-10000-2-200220000002-2000011-1-10000000-1100
χ292222-122222-1-1222-1-12-1-1-12222-1222-1-1-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100000022002200000022-1-10000-1-10000000-1-1
χ302222-122222-1-1222-1-12-1-1-12222-1222-1-1-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000-2-200-2-2000000-2-211000011000000011
χ312222-122222-1-1222-1-12-1-1-1-2-2-2-2-1222-1-1-1-1-12-1-1-12-1-1-1-111-2-2111111-2-21111000000220022000000-2-2-1-10000-1-1000000011
χ322222-122222-1-1222-1-12-1-1-1-2-2-2-2-1222-1-1-1-1-12-1-1-12-1-1-1-111-2-2111111-2-21111000000-2-200-2-200000022110000110000000-1-1
χ332222-12-2-222-1-1222-1-1-2-1-1-122-2-2-12-2-211-1-1-12-1-11-21111-1-122-1-1-1-111-2-211110000002200-2-2000000-22-1-100001100000001-1
χ342222-12-2-222-1-1222-1-1-2-1-1-122-2-2-12-2-211-1-1-12-1-11-21111-1-122-1-1-1-111-2-21111000000-2-200220000002-2110000-1-10000000-11
χ352222-12-2-222-1-1222-1-1-2-1-1-1-2-222-12-2-211-1-1-12-1-11-2111111-2-21111-1-122-1-1-1-10000002200-2-20000002-2-1-10000110000000-11
χ362222-12-2-222-1-1222-1-1-2-1-1-1-2-222-12-2-211-1-1-12-1-11-2111111-2-21111-1-122-1-1-1-1000000-2-20022000000-22110000-1-100000001-1
χ3722-2-222002-22-22-2-2-2202-2-20000-2-20000-2-2222200000000000000000000002i2i−2i−2i2-200002i−2i002i−2i0000002-2002i−2i000000000
χ3822-2-222002-22-22-2-2-2202-2-20000-2-20000-2-2222200000000000000000000002i2i−2i−2i-220000−2i2i002i−2i000000-2200−2i2i000000000
χ3922-2-222002-22-22-2-2-2202-2-20000-2-20000-2-222220000000000000000000000−2i−2i2i2i2-20000−2i2i00−2i2i0000002-200−2i2i000000000
χ4022-2-222002-22-22-2-2-2202-2-20000-2-20000-2-222220000000000000000000000−2i−2i2i2i-2200002i−2i00−2i2i000000-22002i−2i000000000
χ4122-2-22200-222-22-2-2-2202-2-2000022000022-2-2-2-200000000000000000000002i2i−2i−2i002-22i−2i0000−2i2i00002-2002i−2i00000000000
χ4222-2-22200-222-22-2-2-2202-2-2000022000022-2-2-2-200000000000000000000002i2i−2i−2i00-22−2i2i0000−2i2i0000-2200−2i2i00000000000
χ4322-2-22200-222-22-2-2-2202-2-2000022000022-2-2-2-20000000000000000000000−2i−2i2i2i002-2−2i2i00002i−2i00002-200−2i2i00000000000
χ4422-2-22200-222-22-2-2-2202-2-2000022000022-2-2-2-20000000000000000000000−2i−2i2i2i00-222i−2i00002i−2i0000-22002i−2i00000000000
χ452-2-22222-200-2-2-2-22220-22-22−22−2002-22-2000000002-2002−22−222−2−22−22−222−2−22-22-2000000002-20000000000000002−22−20000
χ462-2-22222-200-2-2-2-22220-22-22−22−2002-22-2000000002-2002−22−222−2−22−22−222−2−2-22-2200000000-22000000000000000−22−220000
χ472-2-22222-200-2-2-2-22220-22-2−22−22002-22-2000000002-200−22−22−2−222−22−22−2−2222-22-2000000002-2000000000000000−22−220000
χ482-2-22222-200-2-2-2-22220-22-2−22−22002-22-2000000002-200−22−22−2−222−22−22−2−222-22-2200000000-220000000000000002−22−20000
χ492-2-2222-2200-2-2-2-22220-22-22−2−2200-22-2200000000-22002−22−222−2−2−22−22−2−2222-22-200000000-220000000000000002−2−220000
χ502-2-2222-2200-2-2-2-22220-22-22−2−2200-22-2200000000-22002−22−222−2−2−22−22−2−222-22-22000000002-2000000000000000−222−20000
χ512-2-2222-2200-2-2-2-22220-22-2−222−200-22-2200000000-2200−22−22−2−2222−22−222−2−22-22-200000000-22000000000000000−222−20000
χ522-2-2222-2200-2-2-2-22220-22-2−222−200-22-2200000000-2200−22−22−2−2222−22−222−2−2-22-22000000002-20000000000000002−2−220000
χ5344444-244-4-444-2-2-24-2-4-2-2-20000-42-2-24422-4222-42-2-22200000000000000000000000000000000000000000000000000000
χ5444444-2-4-4-4-444-2-2-24-24-2-2-20000-4222-4-422-42224-222-2-200000000000000000000000000000000000000000000000000000
χ554444-2444-4-4-2-2444-2-2-4-2-2-200002-444-2-2222-4222-4-2-22200000000000000000000000000000000000000000000000000000
χ564444-24-4-4-4-4-2-2444-2-24-2-2-200002-4-4-422222-422-2422-2-200000000000000000000000000000000000000000000000000000
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
χ594444-2-244-4-4-2-2-2-2-2-21-4111000022-2-2-2-2-1-122-1-12211-1-100003i−3i3i−3i00003i−3i3i−3i0000000000000000000000000000000000000
χ604444-2-244-4-4-2-2-2-2-2-21-4111000022-2-2-2-2-1-122-1-12211-1-10000−3i3i−3i3i0000−3i3i−3i3i0000000000000000000000000000000000000
χ614444-2-2-4-444-2-2-2-2-2-21-411144-4-4-2-2222211-2-21122-1-1-1-1-2-2-2-211112222-1-1-1-10000000000000000000000000000000000000
χ624444-2-2-4-444-2-2-2-2-2-21-4111-4-444-2-2222211-2-21122-1-1-1-12222-1-1-1-1-2-2-2-211110000000000000000000000000000000000000
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
χ6544-4-44-2004-44-4-222-4-20-2220000-420000224-2-2-2000000000000000000000000004-40000000000000000-220000000000000
χ6644-4-44-2004-44-4-222-4-20-2220000-420000224-2-2-200000000000000000000000000-4400000000000000002-20000000000000
χ6744-4-44-200-444-4-222-4-20-22200004-20000-2-2-42220000000000000000000000000000004i−4i00000000000000−2i2i00000000000
χ6844-4-44-200-444-4-222-4-20-22200004-20000-2-2-4222000000000000000000000000000000−4i4i000000000000002i−2i00000000000
χ6944-4-4-24004-4-224-4-42-20-22200002-4000022-24-2-2000000000000000000000000000000004i−4i00000000000000−2i2i000000000
χ7044-4-4-24004-4-224-4-42-20-22200002-4000022-24-2-200000000000000000000000000000000−4i4i000000000000002i−2i000000000
χ7144-4-4-2400-44-224-4-42-20-2220000-240000-2-22-42200000000000000000000000000004-4000000000000-22000000000000000
χ7244-4-4-2400-44-224-4-42-20-2220000-240000-2-22-4220000000000000000000000000000-440000000000002-2000000000000000
χ734-44-4440000-44-44-4-440-4-44000000000000000000000000000000000000004i−4i−4i4i000000000000000000000000000000000
χ744-44-4440000-44-44-4-440-4-4400000000000000000000000000000000000000−4i4i4i−4i000000000000000000000000000000000
χ754-4-444-24-400-4-422-24-202-2222−2222−2200-224-400000000-220022−22−22−2−22222−22−22−2−2220000000000000000000000000000000000000
χ764-4-444-24-400-4-422-24-202-22−2222−222200-224-400000000-2200−22222−222−2−2−22222−222−2−20000000000000000000000000000000000000
χ774-4-444-2-4400-4-422-24-202-2222−22−2222002-2-44000000002-20022−22−22−2−222−22222−222−2−20000000000000000000000000000000000000
χ784-4-444-2-4400-4-422-24-202-22−222222−22002-2-44000000002-200−22222−222−2−222−22−22−2−2220000000000000000000000000000000000000
χ794-4-44-244-40022-4-44-2-202-2222−2222−22004-4-2200000000-2200−2222−22−2−222−2222−22−2−2220000000000000000000000000000000000000
χ804-4-44-244-40022-4-44-2-202-22−2222−2222004-4-2200000000-22002−2−222222−2−22−2−222222−2−20000000000000000000000000000000000000
χ814-4-44-24-440022-4-44-2-202-2222−22−222200-442-2000000002-200−2222−22−2−2222−2−222222−2−20000000000000000000000000000000000000
χ824-4-44-24-440022-4-44-2-202-22−222222−2200-442-2000000002-2002−2−222222−2−2−2222−22−2−2220000000000000000000000000000000000000
χ834-4-44-2-24-4002222-2-210-11-122−2222−2200-22-223i−3i003i−3i001-13i−3i−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ3−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ30000000000000000000000000000000000000
χ844-4-44-2-24-4002222-2-210-11-122−2222−2200-22-22−3i3i00−3i3i001-1−3i3i−22−22−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ3−22−22−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ30000000000000000000000000000000000000
χ854-4-44-2-24-4002222-2-210-11-1−2222−222200-22-223i−3i003i−3i001-13i−3i2−22−2−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ32−22−2−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ30000000000000000000000000000000000000
χ864-4-44-2-24-4002222-2-210-11-1−2222−222200-22-22−3i3i00−3i3i001-1−3i3i2−22−2ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ32−22−2ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ30000000000000000000000000000000000000
χ874-4-44-2-2-44002222-2-210-11-122−22−2222002-22-23i−3i003i−3i00-11−3i3i−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ32−22−2−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ30000000000000000000000000000000000000
χ884-4-44-2-2-44002222-2-210-11-122−22−2222002-22-2−3i3i00−3i3i00-113i−3i−22−22−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ32−22−2ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ30000000000000000000000000000000000000
χ894-4-44-2-2-44002222-2-210-11-1−222222−22002-22-23i−3i003i−3i00-11−3i3i2−22−2−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ3−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ30000000000000000000000000000000000000
χ904-4-44-2-2-44002222-2-210-11-1−222222−22002-22-2−3i3i00−3i3i00-113i−3i2−22−2ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ3−22−22−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ30000000000000000000000000000000000000
χ9188-8-8-4-4008-8-44-4444202-2-20000440000-2-2-4-42200000000000000000000000000000000000000000000000000000000000
χ9288-8-8-4-400-88-44-4444202-2-20000-4-400002244-2-200000000000000000000000000000000000000000000000000000000000
χ938-88-88-40000-884-44-8-4044-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ948-88-8-4800004-4-88-84-4044-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ958-88-8-4-400004-44-44420-2-2200000000006i−6i00−6i6i00000000000000000000000000000000000000000000000000000000000
χ968-88-8-4-400004-44-44420-2-220000000000−6i6i006i−6i00000000000000000000000000000000000000000000000000000000000

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