Finite Group Databasebeta

← Group #11805596

Character table — Group #11805596

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222224444444444444444444888888888888888888888888999918181818181818181818181818181818363636363636363636363636363636
order12224444444433444666666121212121212121212121212121212121212121212121212121212121212121222224444444444444444444444444444444
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
χ511111111-1-1-1-1111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111-1-111-1-1-1-111-1-1-1-1
χ611111111-1-1-1-1111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-11111
χ711111111-1-1-1-1111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i-111ii−i−i−i−i−i−iiiii
χ811111111-1-1-1-1111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii-111−i−iiiiiii−i−i−i−i
χ9111111-1-111-1-111-11-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-111111111-11-1-1-111-1-1-1-111-1-1
χ10111111-1-111-1-111-11-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-11-111-1-11111-1-111
χ11111111-1-111-1-111-11-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111iiii−i−i−i−i1-11−i−iii−i−iii−i−iii
χ12111111-1-111-1-111-11-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111−i−i−i−iiiii1-11ii−i−iii−i−iii−i−i
χ13111111-1-1-1-11111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111111111-1-11-1-1-1-111-1-1-1-111
χ14111111-1-1-1-11111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1
χ15111111-1-1-1-11111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1iiii−i−i−i−i11-1−i−i−i−iiiiiii−i−i
χ16111111-1-1-1-11111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1−i−i−i−iiiii11-1iiii−i−i−i−i−i−iii
χ171111-1-111111111-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111111111-1-111-1-1-1-1-11-11-11-11-11-11-1
χ181111-1-111111111-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1111111-1-111-1-111-1-1-1-11-11-11-11-11-11
χ191111-1-111111111-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1ii−i−i−i−iii111i−ii−ii−i−ii−ii−ii
χ201111-1-111111111-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1−i−iiiii−i−i111−ii−ii−iii−ii−ii−i
χ211111-1-111-1-1-1-111-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-111-1-111-1-1-1111-1-11-111-1-11-11
χ221111-1-111-1-1-1-111-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-111-1-111-111-111-11-1-111-11-1
χ231111-1-111-1-1-1-111-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111ii−i−i−i−iii1-1-1i−i−ii−ii−iii−ii−i
χ241111-1-111-1-1-1-111-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111−i−iiiii−i−i1-1-1−iii−ii−ii−i−ii−ii
χ251111-1-1-1-111-1-1111-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-111-1-11-11-111-1-11-111-1-11
χ261111-1-1-1-111-1-1111-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1111-111-1-111-11-1-111-1
χ271111-1-1-1-111-1-1111-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111ii−i−i−i−iii-11-1−iii−i−iii−i−iii−i
χ281111-1-1-1-111-1-1111-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111−i−iiiii−i−i-11-1i−i−iii−i−iii−i−ii
χ291111-1-1-1-1-1-1111111-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111-1-11-111-1-11-111-1
χ301111-1-1-1-1-1-1111111-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-11111-11-11-1-111-11-1-11
χ311111-1-1-1-1-1-1111111-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1ii−i−i−i−iii-1-11−ii−iii−ii−ii−i−ii
χ321111-1-1-1-1-1-1111111-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1−i−iiiii−i−i-1-11i−ii−i−ii−ii−iii−i
χ332-22-2002-22-22-222000-2-222-2-20000000022-2-2000022-2-2000022-2-2000022-2-2002-22-22-200000000000000000000000
χ342-22-2002-22-22-222000-2-222-2-20000000022-2-2000022-2-2000022-2-20000-2-22200-22-22-2200000000000000000000000
χ352-22-2002-2-22-2222000-2-222-2-20000000022-2-20000-2-2220000-2-222000022-2-2002-2-22-2200000000000000000000000
χ362-22-2002-2-22-2222000-2-222-2-20000000022-2-20000-2-2220000-2-2220000-2-22200-222-22-200000000000000000000000
χ372-22-200-222-2-2222000-2-222-2-200000000-2-222000022-2-20000-2-222000022-2-200-222-2-2200000000000000000000000
χ382-22-200-222-2-2222000-2-222-2-200000000-2-222000022-2-20000-2-2220000-2-222002-2-222-200000000000000000000000
χ392-22-200-22-222-222000-2-222-2-200000000-2-2220000-2-222000022-2-2000022-2-200-22-222-200000000000000000000000
χ402-22-200-22-222-222000-2-222-2-200000000-2-2220000-2-222000022-2-20000-2-222002-22-2-2200000000000000000000000
χ412-2-222i−2i00000022000-2-2-2-2222i2i2i2i−2i−2i−2i−2i0000000000000000000000002-22-22i−2i0000002-22i−2i2-22i−2i000000000000000
χ422-2-222i−2i00000022000-2-2-2-2222i2i2i2i−2i−2i−2i−2i0000000000000000000000002-22-22i−2i000000-22−2i2i-22−2i2i000000000000000
χ432-2-222i−2i00000022000-2-2-2-2222i2i2i2i−2i−2i−2i−2i000000000000000000000000-22-22−2i2i0000002i−2i-22−2i2i2-2000000000000000
χ442-2-222i−2i00000022000-2-2-2-2222i2i2i2i−2i−2i−2i−2i000000000000000000000000-22-22−2i2i000000−2i2i2-22i−2i-22000000000000000
χ452-2-22−2i2i00000022000-2-2-2-222−2i−2i−2i−2i2i2i2i2i0000000000000000000000002-22-2−2i2i0000002-2−2i2i2-2−2i2i000000000000000
χ462-2-22−2i2i00000022000-2-2-2-222−2i−2i−2i−2i2i2i2i2i0000000000000000000000002-22-2−2i2i000000-222i−2i-222i−2i000000000000000
χ472-2-22−2i2i00000022000-2-2-2-222−2i−2i−2i−2i2i2i2i2i000000000000000000000000-22-222i−2i0000002i−2i2-2−2i2i-22000000000000000
χ482-2-22−2i2i00000022000-2-2-2-222−2i−2i−2i−2i2i2i2i2i000000000000000000000000-22-222i−2i000000−2i2i-222i−2i2-2000000000000000
χ494444444444441-24441-21-21-211-2-211-2-21-21-211-2-21-21-211-2-21-21-211-2-200000000000000000000000000000000000
χ50444444444444-21444-21-21-21-2-211-2-211-21-21-2-211-21-21-2-211-21-21-2-21100000000000000000000000000000000000
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χ5244444444-4-4-4-4-214-4-4-21-21-21-2-211-2-211-21-21-2-2112-12-122-1-12-12-122-1-100000000000000000000000000000000000
χ53444444-4-444-4-41-2-44-41-21-21-211-2-211-2-2-12-12-1-1221-21-211-2-2-12-12-1-12200000000000000000000000000000000000
χ54444444-4-444-4-4-21-44-4-21-21-21-2-211-2-2112-12-122-1-1-21-21-2-2112-12-122-1-100000000000000000000000000000000000
χ55444444-4-4-4-4441-2-4-441-21-21-211-2-211-2-2-12-12-1-122-12-12-1-1221-21-211-2-200000000000000000000000000000000000
χ56444444-4-4-4-444-21-4-44-21-21-21-2-211-2-2112-12-122-1-12-12-122-1-1-21-21-2-21100000000000000000000000000000000000
χ574444-4-44444441-2-4-4-41-21-21-2-1-122-1-1221-21-2-1-1221-21-2-1-1221-21-2-1-12200000000000000000000000000000000000
χ584444-4-4444444-21-4-4-4-21-21-2122-1-122-1-1-21-2122-1-1-21-2122-1-1-21-2122-1-100000000000000000000000000000000000
χ594444-4-444-4-4-4-41-2-4441-21-21-2-1-122-1-1221-21-2-1-122-12-1211-2-2-12-1211-2-200000000000000000000000000000000000
χ604444-4-444-4-4-4-4-21-444-21-21-2122-1-122-1-1-21-2122-1-12-12-1-2-2112-12-1-2-21100000000000000000000000000000000000
χ614444-4-4-4-444-4-41-24-441-21-21-2-1-122-1-122-12-1211-2-21-21-2-1-122-12-1211-2-200000000000000000000000000000000000
χ624444-4-4-4-444-4-4-214-44-21-21-2122-1-122-1-12-12-1-2-211-21-2122-1-12-12-1-2-21100000000000000000000000000000000000
χ634444-4-4-4-4-4-4441-244-41-21-21-2-1-122-1-122-12-1211-2-2-12-1211-2-21-21-2-1-12200000000000000000000000000000000000
χ644444-4-4-4-4-4-444-2144-4-21-21-2122-1-122-1-12-12-1-2-2112-12-1-2-211-21-2122-1-100000000000000000000000000000000000
χ6544-4-4000000004400044-4-4-4-4000000000000000000000000000000004-4-440000000000000000000000000000000
χ6644-4-4000000004400044-4-4-4-400000000000000000000000000000000-444-40000000000000000000000000000000
χ674-44-4004-44-44-41-2000-121-2-123i−3i003i−3i001-2-123i−3i001-2-123i−3i001-2-123i−3i0000000000000000000000000000000000000
χ684-44-4004-44-44-41-2000-121-2-12−3i3i00−3i3i001-2-12−3i3i001-2-12−3i3i001-2-12−3i3i0000000000000000000000000000000000000
χ694-44-4004-44-44-4-210002-1-212-1003i−3i003i−3i-212-1003i−3i-212-1003i−3i-212-1003i−3i00000000000000000000000000000000000
χ704-44-4004-44-44-4-210002-1-212-100−3i3i00−3i3i-212-100−3i3i-212-100−3i3i-212-100−3i3i00000000000000000000000000000000000
χ714-44-4004-4-44-441-2000-121-2-123i−3i003i−3i001-2-123i−3i00-121-2−3i3i00-121-2−3i3i0000000000000000000000000000000000000
χ724-44-4004-4-44-441-2000-121-2-12−3i3i00−3i3i001-2-12−3i3i00-121-23i−3i00-121-23i−3i0000000000000000000000000000000000000
χ734-44-4004-4-44-44-210002-1-212-1003i−3i003i−3i-212-1003i−3i2-1-2100−3i3i2-1-2100−3i3i00000000000000000000000000000000000
χ744-44-4004-4-44-44-210002-1-212-100−3i3i00−3i3i-212-100−3i3i2-1-21003i−3i2-1-21003i−3i00000000000000000000000000000000000
χ754-44-400-444-4-441-2000-121-2-123i−3i003i−3i00-121-2−3i3i001-2-123i−3i00-121-2−3i3i0000000000000000000000000000000000000
χ764-44-400-444-4-441-2000-121-2-12−3i3i00−3i3i00-121-23i−3i001-2-12−3i3i00-121-23i−3i0000000000000000000000000000000000000
χ774-44-400-444-4-44-210002-1-212-1003i−3i003i−3i2-1-2100−3i3i-212-1003i−3i2-1-2100−3i3i00000000000000000000000000000000000
χ784-44-400-444-4-44-210002-1-212-100−3i3i00−3i3i2-1-21003i−3i-212-100−3i3i2-1-21003i−3i00000000000000000000000000000000000
χ794-44-400-44-444-41-2000-121-2-123i−3i003i−3i00-121-2−3i3i00-121-2−3i3i001-2-123i−3i0000000000000000000000000000000000000
χ804-44-400-44-444-41-2000-121-2-12−3i3i00−3i3i00-121-23i−3i00-121-23i−3i001-2-12−3i3i0000000000000000000000000000000000000
χ814-44-400-44-444-4-210002-1-212-1003i−3i003i−3i2-1-2100−3i3i2-1-2100−3i3i-212-1003i−3i00000000000000000000000000000000000
χ824-44-400-44-444-4-210002-1-212-100−3i3i00−3i3i2-1-21003i−3i2-1-21003i−3i-212-100−3i3i00000000000000000000000000000000000
χ8388-8-8000000002-40002-4-24-246-600-660000000000000000000000000000000000000000000000000000000000000
χ8488-8-8000000002-40002-4-24-24-66006-60000000000000000000000000000000000000000000000000000000000000
χ8588-8-800000000-42000-424-24-2006-600-6600000000000000000000000000000000000000000000000000000000000
χ8688-8-800000000-42000-424-24-200-66006-600000000000000000000000000000000000000000000000000000000000
χ878-8-888i−8i0000002-4000-24-242-42i2i−4i−4i−2i−2i4i4i00000000000000000000000000000000000000000000000000000000000
χ888-8-888i−8i000000-420004-24-2-42−4i−4i2i2i4i4i−2i−2i00000000000000000000000000000000000000000000000000000000000
χ898-8-88−8i8i0000002-4000-24-242-4−2i−2i4i4i2i2i−4i−4i00000000000000000000000000000000000000000000000000000000000
χ908-8-88−8i8i000000-420004-24-2-424i4i−2i−2i−4i−4i2i2i00000000000000000000000000000000000000000000000000000000000

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