Finite Group Databasebeta

← Group #11771146

Character table — Group #11771146

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122224444444444444444444448888888888888888888888889999181818183636363636363636363636363672727272
order12224444334666666888812121212121212121212121212121212242424242424242424242424242424244444224444444444488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1ii−i−i
χ411111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1−i−iii
χ511111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1
χ611111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i1111−i−iii
χ811111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii1111ii−i−i
χ91111-1-1-1-1111111111ii−i−i-1-1-1-1-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-11ii−i−iii−i−iii−i−i1-11-1
χ101111-1-1-1-1111111111ii−i−i-1-1-1-1-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-11−i−iii−i−iiiii−i−i-11-11
χ111111-1-1-1-1111111111ii−i−i-1-1-1-1-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111-111-1-1-1-111−i−iii−iii−i
χ121111-1-1-1-1111111111ii−i−i-1-1-1-1-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111-1-1-11111-1-1−i−iiii−i−ii
χ131111-1-1-1-1111111111−i−iii-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-11ii−i−iii−i−i−i−iii-11-11
χ141111-1-1-1-1111111111−i−iii-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-11−i−iii−i−iii−i−iii1-11-1
χ151111-1-1-1-1111111111−i−iii-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111-111-1-1-1-111ii−i−ii−i−ii
χ161111-1-1-1-1111111111−i−iii-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111-1-1-11111-1-1ii−i−i−iii−i
χ17222222-2-222-22222220000-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000222222-2-2-20000000000000000
χ18222222-2-222-22222220000-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000-2-2-2-2-2-22220000000000000000
χ192222-2-22222-2222222000022222222-2-2-2-2-2-2-2-200000000000000002222-2-222-20000000000000000
χ202222-2-22222-2222222000022222222-2-2-2-2-2-2-2-20000000000000000-2-2-2-222-2-220000000000000000
χ2122-2-2002i−2i22022-2-2-2-200002i2i2i2i−2i−2i−2i−2i00000000000000000000000022-2-2002i−2i01+i−1−i1−i−1+i1+i−1−i1−i−1+i00000000
χ2222-2-2002i−2i22022-2-2-2-200002i2i2i2i−2i−2i−2i−2i00000000000000000000000022-2-2002i−2i0−1−i1+i−1+i1−i−1−i1+i−1+i1−i00000000
χ2322-2-2002i−2i22022-2-2-2-200002i2i2i2i−2i−2i−2i−2i000000000000000000000000-2-22200−2i2i01−i−1+i−1−i1+i−1+i1−i1+i−1−i00000000
χ2422-2-2002i−2i22022-2-2-2-200002i2i2i2i−2i−2i−2i−2i000000000000000000000000-2-22200−2i2i0−1+i1−i1+i−1−i1−i−1+i−1−i1+i00000000
χ2522-2-200−2i2i22022-2-2-2-20000−2i−2i−2i−2i2i2i2i2i00000000000000000000000022-2-200−2i2i01−i−1+i1+i−1−i1−i−1+i1+i−1−i00000000
χ2622-2-200−2i2i22022-2-2-2-20000−2i−2i−2i−2i2i2i2i2i00000000000000000000000022-2-200−2i2i0−1+i1−i−1−i1+i−1+i1−i−1−i1+i00000000
χ2722-2-200−2i2i22022-2-2-2-20000−2i−2i−2i−2i2i2i2i2i000000000000000000000000-2-222002i−2i01+i−1−i−1+i1−i−1−i1+i1−i−1+i00000000
χ2822-2-200−2i2i22022-2-2-2-20000−2i−2i−2i−2i2i2i2i2i000000000000000000000000-2-222002i−2i0−1−i1+i1−i−1+i1+i−1−i−1+i1−i00000000
χ292-22-22i−2i00220-2-222-2-21+i−1−i1−i−1+i0000000000002i2i−2i−2i1+i1+i1+i1+i−1−i−1−i−1−i−1−i1−i1−i1−i1−i−1+i−1+i−1+i−1+i2i−2i2i−2i2-2000000000001−i−1+i1+i−1−i0000
χ302-22-22i−2i00220-2-222-2-21+i−1−i1−i−1+i0000000000002i2i−2i−2i1+i1+i1+i1+i−1−i−1−i−1−i−1−i1−i1−i1−i1−i−1+i−1+i−1+i−1+i−2i2i−2i2i-2200000000000−1+i1−i−1−i1+i0000
χ312-22-22i−2i00220-2-222-2-2−1−i1+i−1+i1−i0000000000002i2i−2i−2i−1−i−1−i−1−i−1−i1+i1+i1+i1+i−1+i−1+i−1+i−1+i1−i1−i1−i1−i2i−2i2i−2i2-200000000000−1+i1−i−1−i1+i0000
χ322-22-22i−2i00220-2-222-2-2−1−i1+i−1+i1−i0000000000002i2i−2i−2i−1−i−1−i−1−i−1−i1+i1+i1+i1+i−1+i−1+i−1+i−1+i1−i1−i1−i1−i−2i2i−2i2i-22000000000001−i−1+i1+i−1−i0000
χ332-22-2−2i2i00220-2-222-2-21−i−1+i1+i−1−i000000000000−2i−2i2i2i1−i1−i1−i1−i−1+i−1+i−1+i−1+i1+i1+i1+i1+i−1−i−1−i−1−i−1−i2i−2i2i−2i-2200000000000−1−i1+i−1+i1−i0000
χ342-22-2−2i2i00220-2-222-2-21−i−1+i1+i−1−i000000000000−2i−2i2i2i1−i1−i1−i1−i−1+i−1+i−1+i−1+i1+i1+i1+i1+i−1−i−1−i−1−i−1−i−2i2i−2i2i2-2000000000001+i−1−i1−i−1+i0000
χ352-22-2−2i2i00220-2-222-2-2−1+i1−i−1−i1+i000000000000−2i−2i2i2i−1+i−1+i−1+i−1+i1−i1−i1−i1−i−1−i−1−i−1−i−1−i1+i1+i1+i1+i2i−2i2i−2i-22000000000001+i−1−i1−i−1+i0000
χ362-22-2−2i2i00220-2-222-2-2−1+i1−i−1−i1+i000000000000−2i−2i2i2i−1+i−1+i−1+i−1+i1−i1−i1−i1−i−1−i−1−i−1−i−1−i1+i1+i1+i1+i−2i2i−2i2i2-200000000000−1−i1+i−1+i1−i0000
χ37444444441-241-21-21-2444411-2-211-2-211-2-21-21-211-2-211-2-211-2-211-2-20000000000000000000000000
χ38444444441-241-21-21-2-4-4-4-411-2-211-2-211-2-21-21-2-1-122-1-122-1-122-1-1220000000000000000000000000
χ3944444444-214-21-21-214444-2-211-2-211-2-211-21-21-2-211-2-211-2-211-2-2110000000000000000000000000
χ4044444444-214-21-21-21-4-4-4-4-2-211-2-211-2-211-21-2122-1-122-1-122-1-122-1-10000000000000000000000000
χ41444444-4-41-2-41-21-21-20000-1-122-1-122-1-1221-21-23i−3i003i−3i003i−3i003i−3i000000000000000000000000000
χ42444444-4-41-2-41-21-21-20000-1-122-1-122-1-1221-21-2−3i3i00−3i3i00−3i3i00−3i3i000000000000000000000000000
χ43444444-4-4-21-4-21-21-21000022-1-122-1-122-1-1-21-21003i−3i003i−3i003i−3i003i−3i0000000000000000000000000
χ44444444-4-4-21-4-21-21-21000022-1-122-1-122-1-1-21-2100−3i3i00−3i3i00−3i3i00−3i3i0000000000000000000000000
χ454444-4-4441-2-41-21-21-2000011-2-211-2-2-1-122-12-123-3003-300-3300-33000000000000000000000000000
χ464444-4-4441-2-41-21-21-2000011-2-211-2-2-1-122-12-12-3300-33003-3003-3000000000000000000000000000
χ474444-4-444-21-4-21-21-210000-2-211-2-21122-1-12-12-1003-3003-300-3300-330000000000000000000000000
χ484444-4-444-21-4-21-21-210000-2-211-2-21122-1-12-12-100-3300-33003-3003-30000000000000000000000000
χ494444-4-4-4-41-241-21-21-24i4i−4i−4i-1-122-1-12211-2-2-12-12ii−2i−2iii−2i−2i−i−i2i2i−i−i2i2i0000000000000000000000000
χ504444-4-4-4-41-241-21-21-2−4i−4i4i4i-1-122-1-12211-2-2-12-12−i−i2i2i−i−i2i2iii−2i−2iii−2i−2i0000000000000000000000000
χ514444-4-4-4-4-214-21-21-214i4i−4i−4i22-1-122-1-1-2-2112-12-1−2i−2iii−2i−2iii2i2i−i−i2i2i−i−i0000000000000000000000000
χ524444-4-4-4-4-214-21-21-21−4i−4i4i4i22-1-122-1-1-2-2112-12-12i2i−i−i2i2i−i−i−2i−2iii−2i−2iii0000000000000000000000000
χ534-44-44i−4i001-20-121-2-122+2i−2−2i2−2i−2+2i3-3003-3003i−3i00i−2i−i2i2−i−1+2i−1−i−1−i−2+i1−2i1+i1+i−1−2i2+i−1+i−1+i1+2i−2−i1−i1−i0000000000000000000000000
χ544-44-44i−4i001-20-121-2-122+2i−2−2i2−2i−2+2i-3300-3300−3i3i00i−2i−i2i−1+2i2−i−1−i−1−i1−2i−2+i1+i1+i2+i−1−2i−1+i−1+i−2−i1+2i1−i1−i0000000000000000000000000
χ554-44-44i−4i001-20-121-2-12−2−2i2+2i−2+2i2−2i3-3003-3003i−3i00i−2i−i2i−2+i1−2i1+i1+i2−i−1+2i−1−i−1−i1+2i−2−i1−i1−i−1−2i2+i−1+i−1+i0000000000000000000000000
χ564-44-44i−4i001-20-121-2-12−2−2i2+2i−2+2i2−2i-3300-3300−3i3i00i−2i−i2i1−2i−2+i1+i1+i−1+2i2−i−1−i−1−i−2−i1+2i1−i1−i2+i−1−2i−1+i−1+i0000000000000000000000000
χ574-44-44i−4i00-2102-1-212-12+2i−2−2i2−2i−2+2i003-3003-3003i−3i−2ii2i−i−1−i−1−i2−i−1+2i1+i1+i−2+i1−2i−1+i−1+i−1−2i2+i1−i1−i1+2i−2−i0000000000000000000000000
χ584-44-44i−4i00-2102-1-212-12+2i−2−2i2−2i−2+2i00-3300-3300−3i3i−2ii2i−i−1−i−1−i−1+2i2−i1+i1+i1−2i−2+i−1+i−1+i2+i−1−2i1−i1−i−2−i1+2i0000000000000000000000000
χ594-44-44i−4i00-2102-1-212-1−2−2i2+2i−2+2i2−2i003-3003-3003i−3i−2ii2i−i1+i1+i−2+i1−2i−1−i−1−i2−i−1+2i1−i1−i1+2i−2−i−1+i−1+i−1−2i2+i0000000000000000000000000
χ604-44-44i−4i00-2102-1-212-1−2−2i2+2i−2+2i2−2i00-3300-3300−3i3i−2ii2i−i1+i1+i1−2i−2+i−1−i−1−i−1+2i2−i1−i1−i−2−i1+2i−1+i−1+i2+i−1−2i0000000000000000000000000
χ614-44-4−4i4i001-20-121-2-122−2i−2+2i2+2i−2−2i3-3003-300−3i3i00−i2ii−2i2+i−1−2i−1+i−1+i−2−i1+2i1−i1−i−1+2i2−i−1−i−1−i1−2i−2+i1+i1+i0000000000000000000000000
χ624-44-4−4i4i001-20-121-2-122−2i−2+2i2+2i−2−2i-3300-33003i−3i00−i2ii−2i−1−2i2+i−1+i−1+i1+2i−2−i1−i1−i2−i−1+2i−1−i−1−i−2+i1−2i1+i1+i0000000000000000000000000
χ634-44-4−4i4i001-20-121-2-12−2+2i2−2i−2−2i2+2i3-3003-300−3i3i00−i2ii−2i−2−i1+2i1−i1−i2+i−1−2i−1+i−1+i1−2i−2+i1+i1+i−1+2i2−i−1−i−1−i0000000000000000000000000
χ644-44-4−4i4i001-20-121-2-12−2+2i2−2i−2−2i2+2i-3300-33003i−3i00−i2ii−2i1+2i−2−i1−i1−i−1−2i2+i−1+i−1+i−2+i1−2i1+i1+i2−i−1+2i−1−i−1−i0000000000000000000000000
χ654-44-4−4i4i00-2102-1-212-12−2i−2+2i2+2i−2−2i003-3003-300−3i3i2i−i−2ii−1+i−1+i2+i−1−2i1−i1−i−2−i1+2i−1−i−1−i−1+2i2−i1+i1+i1−2i−2+i0000000000000000000000000
χ664-44-4−4i4i00-2102-1-212-12−2i−2+2i2+2i−2−2i00-3300-33003i−3i2i−i−2ii−1+i−1+i−1−2i2+i1−i1−i1+2i−2−i−1−i−1−i2−i−1+2i1+i1+i−2+i1−2i0000000000000000000000000
χ674-44-4−4i4i00-2102-1-212-1−2+2i2−2i−2−2i2+2i003-3003-300−3i3i2i−i−2ii1−i1−i−2−i1+2i−1+i−1+i2+i−1−2i1+i1+i1−2i−2+i−1−i−1−i−1+2i2−i0000000000000000000000000
χ684-44-4−4i4i00-2102-1-212-1−2+2i2−2i−2−2i2+2i00-3300-33003i−3i2i−i−2ii1−i1−i1+2i−2−i−1+i−1+i−1−2i2+i1+i1+i−2+i1−2i−1−i−1−i2−i−1+2i0000000000000000000000000
χ694-4-440000440-4-4-4-4440000000000000000000000000000000000004i−4i−4i4i000000000000000000000
χ704-4-440000440-4-4-4-444000000000000000000000000000000000000−4i4i4i−4i000000000000000000000
χ7188-8-8008i−8i2-402-4-24-2400002i2i−4i−4i−2i−2i4i4i0000000000000000000000000000000000000000000000000
χ7288-8-8008i−8i-420-424-24-20000−4i−4i2i2i4i4i−2i−2i0000000000000000000000000000000000000000000000000
χ7388-8-800−8i8i2-402-4-24-240000−2i−2i4i4i2i2i−4i−4i0000000000000000000000000000000000000000000000000
χ7488-8-800−8i8i-420-424-24-200004i4i−2i−2i−4i−4i2i2i0000000000000000000000000000000000000000000000000
χ758-8-8800002-40-24-242-400006i−6i00−6i6i000000000000000000000000000000000000000000000000000
χ768-8-8800002-40-24-242-40000−6i6i006i−6i000000000000000000000000000000000000000000000000000
χ778-8-880000-4204-24-2-420000006i−6i00−6i6i0000000000000000000000000000000000000000000000000
χ788-8-880000-4204-24-2-42000000−6i6i006i−6i0000000000000000000000000000000000000000000000000

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