Finite Group Databasebeta

← Group #11805498

Character table — Group #11805498

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222224444444444444444444888888888888888888888888999918181818181818181818181818181818363636363636363636363636363636
order122222224444334446666661212121212121212666666661212121212121212121212121212121222222222444444444444444444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1iiiiii−i−i−i−i−i−i
χ41111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1−i−i−i−i−i−iiiiiii
χ51111111111-1-111-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-1-1111-1-1-1111-1-1-1
χ61111111111-1-111-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-1-1-1111-1-1-1111
χ71111111111-1-111-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii111iii−i−i−i−i−i−iiii
χ81111111111-1-111-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i111−i−i−iiiiiii−i−i−i
χ9111111-1-1-1-11111-11-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111111111-11-11-1-11-1-11-1-11-1-1
χ10111111-1-1-1-11111-11-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-11-1-111-111-111-111
χ11111111-1-1-1-11111-11-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1iiii−i−i−i−i1-11i−i−ii−i−i−iii−iii
χ12111111-1-1-1-11111-11-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1−i−i−i−iiiii1-11−iii−iiii−i−ii−i−i
χ13111111-1-1-1-1-1-1111-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-111-1-111-1-11-111-1-1-1111-1-1-111
χ14111111-1-1-1-1-1-1111-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1111-11-1111-1-1-1111-1-1
χ15111111-1-1-1-1-1-1111-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111ii−i−i−i−iii-11-1i−i−i−iii−iiii−i−i
χ16111111-1-1-1-1-1-1111-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111−i−iiiii−i−i-11-1−iiii−i−ii−i−i−iii
χ171111-1-111-1-11111-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11111111111-1-11-11-1-11-1-11-1-11-1
χ181111-1-111-1-11111-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-111-111-111-11
χ191111-1-111-1-11111-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1iiii−i−i−i−i11-1−ii−i−ii−ii−iii−ii
χ201111-1-111-1-11111-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1−i−i−i−iiiii11-1i−iii−ii−ii−i−ii−i
χ211111-1-111-1-1-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-111-1-111-1-111-1-11-11-11-11-11-11
χ221111-1-111-1-1-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-11111-11-11-11-11-11-11-1
χ231111-1-111-1-1-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111ii−i−i−i−iii-1-11−ii−ii−iii−ii−ii−i
χ241111-1-111-1-1-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111−i−iiiii−i−i-1-11i−ii−ii−i−ii−ii−ii
χ251111-1-1-1-11111111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111-1-1-1-11-1-11-1-11-1-11
χ261111-1-1-1-11111111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-1-111-111-111-111-1
χ271111-1-1-1-11111111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−i-111−i−ii−i−iiii−iii−i
χ281111-1-1-1-11111111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii-111ii−iii−i−i−ii−i−ii
χ291111-1-1-1-111-1-111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-111-1-111-1-111-1-1-111-1-1111-1-1-1111-1
χ301111-1-1-1-111-1-111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-111-1-1-1-111-1-111-11111-1-1-1111-1-1-11
χ311111-1-1-1-111-1-111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-111ii−i−i−i−iii1-1-1−i−iiii−iii−i−i−ii
χ321111-1-1-1-111-1-111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-111−i−iiiii−i−i1-1-1ii−i−i−ii−i−iiii−i
χ3322-2-20000002i−2i2200022-2-2-2-22i2i2i2i−2i−2i−2i−2i0000000000000000000000002-22-20000002i−2i2-22i−2i2-22i−2i000000000000000
χ3422-2-20000002i−2i2200022-2-2-2-22i2i2i2i−2i−2i−2i−2i0000000000000000000000002-22-20000002i−2i-22−2i2i-22−2i2i000000000000000
χ3522-2-20000002i−2i2200022-2-2-2-22i2i2i2i−2i−2i−2i−2i000000000000000000000000-22-22000000−2i2i2i−2i-22−2i2i2-2000000000000000
χ3622-2-20000002i−2i2200022-2-2-2-22i2i2i2i−2i−2i−2i−2i000000000000000000000000-22-22000000−2i2i−2i2i2-22i−2i-22000000000000000
χ3722-2-2000000−2i2i2200022-2-2-2-2−2i−2i−2i−2i2i2i2i2i0000000000000000000000002-22-2000000−2i2i2-2−2i2i2-2−2i2i000000000000000
χ3822-2-2000000−2i2i2200022-2-2-2-2−2i−2i−2i−2i2i2i2i2i0000000000000000000000002-22-2000000−2i2i-222i−2i-222i−2i000000000000000
χ3922-2-2000000−2i2i2200022-2-2-2-2−2i−2i−2i−2i2i2i2i2i000000000000000000000000-22-220000002i−2i2i−2i2-2−2i2i-22000000000000000
χ4022-2-2000000−2i2i2200022-2-2-2-2−2i−2i−2i−2i2i2i2i2i000000000000000000000000-22-220000002i−2i−2i2i-222i−2i2-2000000000000000
χ412-22-22-22-22-20022000-2-222-2-20000000022-2-222-2-222-2-200000000000022-2-22-22-22-20000000000000000000000000
χ422-22-22-22-22-20022000-2-222-2-20000000022-2-222-2-222-2-2000000000000-2-222-22-22-220000000000000000000000000
χ432-22-22-2-22-220022000-2-222-2-20000000022-2-2-2-222-2-22200000000000022-2-22-2-22-220000000000000000000000000
χ442-22-22-2-22-220022000-2-222-2-20000000022-2-2-2-222-2-222000000000000-2-222-222-22-20000000000000000000000000
χ452-22-2-222-2-220022000-2-222-2-200000000-2-22222-2-2-2-22200000000000022-2-2-222-2-220000000000000000000000000
χ462-22-2-222-2-220022000-2-222-2-200000000-2-22222-2-2-2-222000000000000-2-2222-2-222-20000000000000000000000000
χ472-22-2-22-222-20022000-2-222-2-200000000-2-222-2-22222-2-200000000000022-2-2-22-222-20000000000000000000000000
χ482-22-2-22-222-20022000-2-222-2-200000000-2-222-2-22222-2-2000000000000-2-2222-22-2-220000000000000000000000000
χ494444444444441-24441-21-21-211-2-211-2-21-21-21-21-21-21-211-2-211-2-211-2-200000000000000000000000000000000000
χ50444444444444-21444-21-21-21-2-211-2-211-21-21-21-21-21-21-2-211-2-211-2-21100000000000000000000000000000000000
χ514444444444-4-41-2-4-4-41-21-21-2-1-122-1-1221-21-21-21-21-21-2-1-122-1-122-1-12200000000000000000000000000000000000
χ524444444444-4-4-21-4-4-4-21-21-2122-1-122-1-1-21-21-21-21-21-2122-1-122-1-122-1-100000000000000000000000000000000000
χ53444444-4-4-4-4441-2-44-41-21-21-211-2-211-2-21-21-2-12-12-12-12-1-12211-2-2-1-12200000000000000000000000000000000000
χ54444444-4-4-4-444-21-44-4-21-21-21-2-211-2-211-21-212-12-12-12-122-1-1-2-21122-1-100000000000000000000000000000000000
χ55444444-4-4-4-4-4-41-24-441-21-21-2-1-122-1-1221-21-2-12-12-12-1211-2-2-1-12211-2-200000000000000000000000000000000000
χ56444444-4-4-4-4-4-4-214-44-21-21-2122-1-122-1-1-21-212-12-12-12-1-2-21122-1-1-2-21100000000000000000000000000000000000
χ574444-4-444-4-4441-2-4-441-21-21-211-2-211-2-2-12-121-21-2-12-12-1-122-1-12211-2-200000000000000000000000000000000000
χ584444-4-444-4-444-21-4-44-21-21-21-2-211-2-2112-12-1-21-212-12-122-1-122-1-1-2-21100000000000000000000000000000000000
χ594444-4-444-4-4-4-41-244-41-21-21-2-1-122-1-122-12-121-21-2-12-1211-2-211-2-2-1-12200000000000000000000000000000000000
χ604444-4-444-4-4-4-4-2144-4-21-21-2122-1-122-1-12-12-1-21-212-12-1-2-211-2-21122-1-100000000000000000000000000000000000
χ614444-4-4-4-444441-24-4-41-21-21-211-2-211-2-2-12-12-12-121-21-211-2-2-1-122-1-12200000000000000000000000000000000000
χ624444-4-4-4-44444-214-4-4-21-21-21-2-211-2-2112-12-12-12-1-21-21-2-21122-1-122-1-100000000000000000000000000000000000
χ634444-4-4-4-444-4-41-2-4441-21-21-2-1-122-1-122-12-12-12-121-21-2-1-12211-2-211-2-200000000000000000000000000000000000
χ644444-4-4-4-444-4-4-21-444-21-21-2122-1-122-1-12-12-12-12-1-21-2122-1-1-2-211-2-21100000000000000000000000000000000000
χ654-44-44-44-44-4001-2000-121-2-123i−3i003i−3i001-2-121-2-121-2-123i−3i003i−3i003i−3i0000000000000000000000000000000000000
χ664-44-44-44-44-4001-2000-121-2-12−3i3i00−3i3i001-2-121-2-121-2-12−3i3i00−3i3i00−3i3i0000000000000000000000000000000000000
χ674-44-44-44-44-400-210002-1-212-1003i−3i003i−3i-212-1-212-1-212-1003i−3i003i−3i003i−3i00000000000000000000000000000000000
χ684-44-44-44-44-400-210002-1-212-100−3i3i00−3i3i-212-1-212-1-212-100−3i3i00−3i3i00−3i3i00000000000000000000000000000000000
χ694-44-44-4-44-44001-2000-121-2-123i−3i003i−3i001-2-12-121-2-121-2−3i3i003i−3i00−3i3i0000000000000000000000000000000000000
χ704-44-44-4-44-44001-2000-121-2-12−3i3i00−3i3i001-2-12-121-2-121-23i−3i00−3i3i003i−3i0000000000000000000000000000000000000
χ714-44-44-4-44-4400-210002-1-212-1003i−3i003i−3i-212-12-1-212-1-2100−3i3i003i−3i00−3i3i00000000000000000000000000000000000
χ724-44-44-4-44-4400-210002-1-212-100−3i3i00−3i3i-212-12-1-212-1-21003i−3i00−3i3i003i−3i00000000000000000000000000000000000
χ734-44-4-444-4-44001-2000-121-2-123i−3i003i−3i00-121-21-2-12-121-2−3i3i00−3i3i003i−3i0000000000000000000000000000000000000
χ744-44-4-444-4-44001-2000-121-2-12−3i3i00−3i3i00-121-21-2-12-121-23i−3i003i−3i00−3i3i0000000000000000000000000000000000000
χ754-44-4-444-4-4400-210002-1-212-1003i−3i003i−3i2-1-21-212-12-1-2100−3i3i00−3i3i003i−3i00000000000000000000000000000000000
χ764-44-4-444-4-4400-210002-1-212-100−3i3i00−3i3i2-1-21-212-12-1-21003i−3i003i−3i00−3i3i00000000000000000000000000000000000
χ774-44-4-44-444-4001-2000-121-2-123i−3i003i−3i00-121-2-121-21-2-123i−3i00−3i3i00−3i3i0000000000000000000000000000000000000
χ784-44-4-44-444-4001-2000-121-2-12−3i3i00−3i3i00-121-2-121-21-2-12−3i3i003i−3i003i−3i0000000000000000000000000000000000000
χ794-44-4-44-444-400-210002-1-212-1003i−3i003i−3i2-1-212-1-21-212-1003i−3i00−3i3i00−3i3i00000000000000000000000000000000000
χ804-44-4-44-444-400-210002-1-212-100−3i3i00−3i3i2-1-212-1-21-212-100−3i3i003i−3i003i−3i00000000000000000000000000000000000
χ814-4-440000000044000-4-4-4-444000000000000000000000000000000004-4-440000000000000000000000000000000
χ824-4-440000000044000-4-4-4-44400000000000000000000000000000000-444-40000000000000000000000000000000
χ8388-8-80000008i−8i2-40002-4-24-242i2i−4i−4i−2i−2i4i4i00000000000000000000000000000000000000000000000000000000000
χ8488-8-80000008i−8i-42000-424-24-2−4i−4i2i2i4i4i−2i−2i00000000000000000000000000000000000000000000000000000000000
χ8588-8-8000000−8i8i2-40002-4-24-24−2i−2i4i4i2i2i−4i−4i00000000000000000000000000000000000000000000000000000000000
χ8688-8-8000000−8i8i-42000-424-24-24i4i−2i−2i−4i−4i2i2i00000000000000000000000000000000000000000000000000000000000
χ878-8-88000000002-4000-24-242-46-600-660000000000000000000000000000000000000000000000000000000000000
χ888-8-88000000002-4000-24-242-4-66006-60000000000000000000000000000000000000000000000000000000000000
χ898-8-8800000000-420004-24-2-42006-600-6600000000000000000000000000000000000000000000000000000000000
χ908-8-8800000000-420004-24-2-4200-66006-600000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).