Finite Group Databasebeta

← Group #11774651

Character table — Group #11774651

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122224444444444444444444448888888888888888888888889999181818183636363636363636363636363672727272
order122244442233444666666121212121212121266666666121212121212121212121212121212124444444424444888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−i
χ411111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii
χ511111111-1-111-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-1-1-1-111111111-1-1-1-1
χ611111111-1-111-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111-1-111-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−iii
χ811111111-1-111-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiii−i−i
χ91111-1-1111111-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-111-1-111-1-111-1-11-11-1
χ101111-1-1111111-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-111-1-1-1-111-1-111-11-11
χ111111-1-1111111-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-111ii−i−i−i−iiii−i−ii
χ121111-1-1111111-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-111−i−iiiii−i−i−iii−i
χ131111-1-111-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-111-1-1-11111-1-111-1-1-11-11
χ141111-1-111-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-111-1-1-111-1-111-1-1111-11-1
χ151111-1-111-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1111-1-1ii−i−i−i−iii−iii−i
χ161111-1-111-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1111-1-1−i−iiiii−i−ii−i−ii
χ17222222-2-2002200-22222222222222200000000-2-2-2-2-2-2-2-200000000222222-2-2-20000000000000000
χ18222222-2-2002200-22222222222222200000000-2-2-2-2-2-2-2-200000000-2-2-2-2-2-22220000000000000000
χ192222-2-2-2-20022002222222-2-2-2-2-2-2-2-200000000-2-2-2-22222000000002222-2-2-2-220000000000000000
χ202222-2-2-2-20022002222222-2-2-2-2-2-2-2-200000000-2-2-2-2222200000000-2-2-2-22222-20000000000000000
χ2122-2-22-2000022000-2-2-2-2222222-2-2-2-20000000000000000000000002i−2i2i−2i2i−2i00000001+i−1−i1+i−1−i1−i−1+i1−i−1+i0000
χ2222-2-22-2000022000-2-2-2-2222222-2-2-2-20000000000000000000000002i−2i2i−2i2i−2i0000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000
χ2322-2-22-2000022000-2-2-2-2222222-2-2-2-2000000000000000000000000−2i2i−2i2i−2i2i00000001−i−1+i1−i−1+i1+i−1−i1+i−1−i0000
χ2422-2-22-2000022000-2-2-2-2222222-2-2-2-2000000000000000000000000−2i2i−2i2i−2i2i0000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000
χ2522-2-2-22000022000-2-2-2-222-2-2-2-222220000000000000000000000002i−2i2i−2i−2i2i00000001+i−1−i−1−i1+i1−i−1+i−1+i1−i0000
χ2622-2-2-22000022000-2-2-2-222-2-2-2-222220000000000000000000000002i−2i2i−2i−2i2i0000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i0000
χ2722-2-2-22000022000-2-2-2-222-2-2-2-22222000000000000000000000000−2i2i−2i2i2i−2i00000001−i−1+i−1+i1−i1+i−1−i−1−i1+i0000
χ2822-2-2-22000022000-2-2-2-222-2-2-2-22222000000000000000000000000−2i2i−2i2i2i−2i0000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i0000
χ292-22-2002-200222i−2i022-2-2-2-2000000000000000022-2-200002i2i2i2i−2i−2i−2i−2i2i−2i−2i2i002i−2i0002-2000000000000
χ302-22-2002-200222i−2i022-2-2-2-2000000000000000022-2-200002i2i2i2i−2i−2i−2i−2i−2i2i2i−2i00−2i2i000-22000000000000
χ312-22-2002-20022−2i2i022-2-2-2-2000000000000000022-2-20000−2i−2i−2i−2i2i2i2i2i2i−2i−2i2i002i−2i000-22000000000000
χ322-22-2002-20022−2i2i022-2-2-2-2000000000000000022-2-20000−2i−2i−2i−2i2i2i2i2i−2i2i2i−2i00−2i2i0002-2000000000000
χ332-22-200-222-22200022-2-2-2-2000000002222-2-2-2-2-2-2220000000000002i−2i−2i2i00−2i2i02i−2i00000000000000
χ342-22-200-222-22200022-2-2-2-2000000002222-2-2-2-2-2-222000000000000−2i2i2i−2i002i−2i0−2i2i00000000000000
χ352-22-200-22-222200022-2-2-2-200000000-2-2-2-22222-2-2220000000000002i−2i−2i2i00−2i2i0−2i2i00000000000000
χ362-22-200-22-222200022-2-2-2-200000000-2-2-2-22222-2-222000000000000−2i2i2i−2i002i−2i02i−2i00000000000000
χ3744444444441-24441-21-21-211-2-211-2-211-2-211-2-21-21-211-2-211-2-211-2-20000000000000000000000000
χ384444444444-21444-21-21-21-2-211-2-211-2-211-2-211-21-21-2-211-2-211-2-2110000000000000000000000000
χ3944444444-4-41-2-4-441-21-21-211-2-211-2-2-1-122-1-1221-21-211-2-2-1-122-1-1220000000000000000000000000
χ4044444444-4-4-21-4-44-21-21-21-2-211-2-21122-1-122-1-1-21-21-2-21122-1-122-1-10000000000000000000000000
χ41444444-4-4001-200-41-21-21-211-2-211-2-23-3003-300-12-12-1-1223-3003-3000000000000000000000000000
χ42444444-4-4001-200-41-21-21-211-2-211-2-2-3300-3300-12-12-1-122-3300-33000000000000000000000000000
χ43444444-4-400-2100-4-21-21-21-2-211-2-211003-3003-32-12-122-1-1003-3003-30000000000000000000000000
χ44444444-4-400-2100-4-21-21-21-2-211-2-21100-3300-332-12-122-1-100-3300-330000000000000000000000000
χ454444-4-444441-2-4-4-41-21-21-2-1-122-1-12211-2-211-2-21-21-2-1-122-1-122-1-1220000000000000000000000000
χ464444-4-44444-21-4-4-4-21-21-2122-1-122-1-1-2-211-2-211-21-2122-1-122-1-122-1-10000000000000000000000000
χ474444-4-444-4-41-244-41-21-21-2-1-122-1-122-1-122-1-1221-21-2-1-12211-2-211-2-20000000000000000000000000
χ484444-4-444-4-4-2144-4-21-21-2122-1-122-1-122-1-122-1-1-21-2122-1-1-2-211-2-2110000000000000000000000000
χ494444-4-4-4-4001-20041-21-21-2-1-122-1-1223-3003-300-12-1211-2-2-3300-33000000000000000000000000000
χ504444-4-4-4-4001-20041-21-21-2-1-122-1-122-3300-3300-12-1211-2-23-3003-3000000000000000000000000000
χ514444-4-4-4-400-21004-21-21-2122-1-122-1-1003-3003-32-12-1-2-21100-3300-330000000000000000000000000
χ524444-4-4-4-400-21004-21-21-2122-1-122-1-100-3300-332-12-1-2-211003-3003-30000000000000000000000000
χ534-44-4004-4001-24i−4i01-2-12-123i−3i003i−3i003-300-33001-2-123i−3i00ii−2i−2i−i−i2i2i0000000000000000000000000
χ544-44-4004-4001-24i−4i01-2-12-12−3i3i00−3i3i00-33003-3001-2-12−3i3i00ii−2i−2i−i−i2i2i0000000000000000000000000
χ554-44-4004-4001-2−4i4i01-2-12-123i−3i003i−3i00-33003-3001-2-123i−3i00−i−i2i2iii−2i−2i0000000000000000000000000
χ564-44-4004-4001-2−4i4i01-2-12-12−3i3i00−3i3i003-300-33001-2-12−3i3i00−i−i2i2iii−2i−2i0000000000000000000000000
χ574-44-4004-400-214i−4i0-212-12-1003i−3i003i−3i003-300-33-212-1003i−3i−2i−2iii2i2i−i−i0000000000000000000000000
χ584-44-4004-400-214i−4i0-212-12-100−3i3i00−3i3i00-33003-3-212-100−3i3i−2i−2iii2i2i−i−i0000000000000000000000000
χ594-44-4004-400-21−4i4i0-212-12-1003i−3i003i−3i00-33003-3-212-1003i−3i2i2i−i−i−2i−2iii0000000000000000000000000
χ604-44-4004-400-21−4i4i0-212-12-100−3i3i00−3i3i003-300-33-212-100−3i3i2i2i−i−i−2i−2iii0000000000000000000000000
χ614-44-400-444-41-20001-2-12-123i−3i003i−3i0011-2-2-1-122-121-2−3i3i003i−3i00−3i3i000000000000000000000000000
χ624-44-400-444-41-20001-2-12-12−3i3i00−3i3i0011-2-2-1-122-121-23i−3i00−3i3i003i−3i000000000000000000000000000
χ634-44-400-444-4-21000-212-12-1003i−3i003i−3i-2-21122-1-12-1-2100−3i3i003i−3i00−3i3i0000000000000000000000000
χ644-44-400-444-4-21000-212-12-100−3i3i00−3i3i-2-21122-1-12-1-21003i−3i00−3i3i003i−3i0000000000000000000000000
χ654-44-400-44-441-20001-2-12-123i−3i003i−3i00-1-12211-2-2-121-2−3i3i00−3i3i003i−3i000000000000000000000000000
χ664-44-400-44-441-20001-2-12-12−3i3i00−3i3i00-1-12211-2-2-121-23i−3i003i−3i00−3i3i000000000000000000000000000
χ674-44-400-44-44-21000-212-12-1003i−3i003i−3i22-1-1-2-2112-1-2100−3i3i00−3i3i003i−3i0000000000000000000000000
χ684-44-400-44-44-21000-212-12-100−3i3i00−3i3i22-1-1-2-2112-1-21003i−3i003i−3i00−3i3i0000000000000000000000000
χ694-4-4400000044000-4-444-4-40000000000000000000000000000000044-4-4000000000000000000000
χ704-4-4400000044000-4-444-4-400000000000000000000000000000000-4-444000000000000000000000
χ7188-8-88-800002-4000-24-242-422-4-4-2-2440000000000000000000000000000000000000000000000000
χ7288-8-88-80000-420004-24-2-42-4-42244-2-20000000000000000000000000000000000000000000000000
χ7388-8-8-8800002-4000-24-242-4-2-24422-4-40000000000000000000000000000000000000000000000000
χ7488-8-8-880000-420004-24-2-4244-2-2-4-4220000000000000000000000000000000000000000000000000
χ758-8-880000002-4000-242-4-246i−6i00−6i6i000000000000000000000000000000000000000000000000000
χ768-8-880000002-4000-242-4-24−6i6i006i−6i000000000000000000000000000000000000000000000000000
χ778-8-88000000-420004-2-424-2006i−6i00−6i6i0000000000000000000000000000000000000000000000000
χ788-8-88000000-420004-2-424-200−6i6i006i−6i0000000000000000000000000000000000000000000000000

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