Finite Group Databasebeta

← Group #11774668

Character table — Group #11774668

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222444444444444444448888888899991212121212121212121212121212121218181818242424242424242424242424242424243672727272
order12224444233666666121212121212121266661212121244442244444488888888444466121212121212242424242424242448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-1-1-1
χ31111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1
χ41111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111-1-1-111111111-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−i11-1-111-1-1-1-111iiii−i−i−i−i1ii−i−i
χ6111111-1-1-111111111-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii11-1-111-1-1-1-111−i−i−i−iiiii1−i−iii
χ7111111-1-1-111111111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i11-1-1-1-11111-1-1iiii−i−i−i−i1−i−iii
χ8111111-1-1-111111111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii11-1-1-1-11111-1-1−i−i−i−iiiii1ii−i−i
χ91111-1-111-11111111111-1-1-1-111-1-1-1-1-1-111111111-1-111-1-111-1-111-1-111-1-11111-1-1-1-111-1-111-1-1-11-11-1
χ101111-1-111-11111111111-1-1-1-111-1-1-1-1-1-111111111-1-111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-111-1-111-1-11-11
χ111111-1-111-11111111111-1-1-1-111-1-1-1-1-1-1111111-1-111-1-11111-1-111-1-111-1-1-1-1-1-1111111-1-111-1-1-1-11-11
χ121111-1-111-11111111111-1-1-1-111-1-1-1-1-1-1111111-1-111-1-111-1-111-1-11111-1-1-1-1-1-11111-1-111-1-111-11-11-1
χ131111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111ii−i−i−i−iii111111-1-111-1-1ii−i−i−i−iii-1i−i−ii
χ141111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111−i−iiiii−i−i111111-1-111-1-1−i−iiiii−i−i-1−iii−i
χ151111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1ii−i−i−i−iii1111-1-111-1-111ii−i−i−i−iii-1−iii−i
χ161111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1−i−iiiii−i−i1111-1-111-1-111−i−iiiii−i−i-1i−i−ii
χ17222222222222222222222222222222222-2-2-2-20000000000000000-2-2-2-20000000000000000-20000
χ18222222-2-2-222222222-2-22222-2-2-2-2-2-222-2-222220000000000000000-2-2220000000000000000-20000
χ192222-2-222-22222222222-2-2-2-222-2-2-2-2-2-222-2-2-2-20000000000000000-2-222000000000000000020000
χ202222-2-2-2-2222222222-2-2-2-2-2-2-2-22222-2-2-2-222220000000000000000-2-2-2-2000000000000000020000
χ2122-2-22-200022-2-22-2-220022-2-20000002-2002i−2i2i−2i000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i002i−2i000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i00000
χ2222-2-22-200022-2-22-2-220022-2-20000002-2002i−2i2i−2i00000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i002i−2i00000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000
χ2322-2-22-200022-2-22-2-220022-2-20000002-200−2i2i−2i2i000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i00−2i2i000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i00000
χ2422-2-22-200022-2-22-2-220022-2-20000002-200−2i2i−2i2i00000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i00−2i2i00000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000
χ2522-2-2-2200022-2-22-2-2200-2-222000000-22002i−2i2i−2i000000001+i−1−i−1−i1+i1−i−1+i−1+i1−i00−2i2i000000001+i−1−i−1−i1+i1−i−1+i−1+i1−i00000
χ2622-2-2-2200022-2-22-2-2200-2-222000000-22002i−2i2i−2i00000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i00−2i2i00000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i00000
χ2722-2-2-2200022-2-22-2-2200-2-222000000-2200−2i2i−2i2i000000001−i−1+i−1+i1−i1+i−1−i−1−i1+i002i−2i000000001−i−1+i−1+i1−i1+i−1−i−1−i1+i00000
χ2822-2-2-2200022-2-22-2-2200-2-222000000-2200−2i2i−2i2i00000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i002i−2i00000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i00000
χ292-22-2002i−2i0222-2-22-2-22i−2i00002i−2i0000002i−2i2i−2i−2i2i002i−2i002-2000000002-20000002-22i−2i0000000000000
χ302-22-2002i−2i0222-2-22-2-22i−2i00002i−2i0000002i−2i2i−2i−2i2i00−2i2i00-22000000002-2000000-22−2i2i0000000000000
χ312-22-2002i−2i0222-2-22-2-22i−2i00002i−2i0000002i−2i−2i2i2i−2i2-2002i−2i0000000000-22002-22i−2i00000000000000000
χ322-22-2002i−2i0222-2-22-2-22i−2i00002i−2i0000002i−2i−2i2i2i−2i-2200−2i2i0000000000-2200-22−2i2i00000000000000000
χ332-22-200−2i2i0222-2-22-2-2−2i2i0000−2i2i000000−2i2i2i−2i−2i2i2-200−2i2i0000000000-22002-2−2i2i00000000000000000
χ342-22-200−2i2i0222-2-22-2-2−2i2i0000−2i2i000000−2i2i2i−2i−2i2i-22002i−2i0000000000-2200-222i−2i00000000000000000
χ352-22-200−2i2i0222-2-22-2-2−2i2i0000−2i2i000000−2i2i−2i2i2i−2i002i−2i00-22000000002-2000000-222i−2i0000000000000
χ362-22-200−2i2i0222-2-22-2-2−2i2i0000−2i2i000000−2i2i−2i2i2i−2i00−2i2i002-2000000002-20000002-2−2i2i0000000000000
χ374444444441-2111-2-2-211-2-2-2-21111-2-211-2-200000000000022222222000000000000-1-1-1-1-1-1-1-100000
χ384444444441-2111-2-2-211-2-2-2-21111-2-211-2-2000000000000-2-2-2-2-2-2-2-20000000000001111111100000
χ39444444444-21-2-2-2111-2-21111-2-2-2-211-2-211000022222222000000000000-1-1-1-1-1-1-1-10000000000000
χ40444444444-21-2-2-2111-2-21111-2-2-2-211-2-2110000-2-2-2-2-2-2-2-2000000000000111111110000000000000
χ41444444-4-4-41-2111-2-2-2-1-1-2-2-2-2-1-1-1-12211220000000000002i2i2i2i−2i−2i−2i−2i000000000000−i−i−i−iiiii00000
χ42444444-4-4-41-2111-2-2-2-1-1-2-2-2-2-1-1-1-1221122000000000000−2i−2i−2i−2i2i2i2i2i000000000000iiii−i−i−i−i00000
χ43444444-4-4-4-21-2-2-21112211112222-1-1-2-2-1-100002222-2-2-2-2000000000000-1-11111-1-10000000000000
χ44444444-4-4-4-21-2-2-21112211112222-1-1-2-2-1-10000-2-2-2-2222200000000000011-1-1-1-1110000000000000
χ454444-4-444-41-2111-2-2-211222211-1-122-1-1-2-200000000000022-2-222-2-2000000000000-1-111-1-11100000
χ464444-4-444-41-2111-2-2-211222211-1-122-1-1-2-2000000000000-2-222-2-22200000000000011-1-111-1-100000
χ474444-4-444-4-21-2-2-2111-2-2-1-1-1-1-2-222-1-12211000022-2-222-2-2000000000000-1-1-1-111110000000000000
χ484444-4-444-4-21-2-2-2111-2-2-1-1-1-1-2-222-1-122110000-2-222-2-2220000000000001111-1-1-1-10000000000000
χ494444-4-4-4-441-2111-2-2-2-1-12222-1-111-2-2-1-1220000000000002i2i−2i−2i−2i−2i2i2i000000000000−i−iiiii−i−i00000
χ504444-4-4-4-441-2111-2-2-2-1-12222-1-111-2-2-1-122000000000000−2i−2i2i2i2i2i−2i−2i000000000000ii−i−i−i−iii00000
χ514444-4-4-4-44-21-2-2-211122-1-1-1-122-2-21122-1-1000022-2-2-2-222000000000000-1-111-1-1110000000000000
χ524444-4-4-4-44-21-2-2-211122-1-1-1-122-2-21122-1-10000-2-22222-2-200000000000011-1-111-1-10000000000000
χ5344-4-44-40001-2-1-1122-233-2-222-3-33-3001-1000000000000002-22-22-22-2000000000000-11-11-11-1100000
χ5444-4-44-40001-2-1-1122-233-2-222-3-33-3001-100000000000000-22-22-22-220000000000001-11-11-11-100000
χ5544-4-44-40001-2-1-1122-2-3-3-2-22233-33001-1000000000000002i−2i2i−2i−2i2i−2i2i000000000000−ii−iii−ii−i00000
χ5644-4-44-40001-2-1-1122-2-3-3-2-22233-33001-100000000000000−2i2i−2i2i2i−2i2i−2i000000000000i−ii−i−ii−ii00000
χ5744-4-4-440001-2-1-1122-23322-2-2-3-3-3300-11000000000000002-2-222-2-22000000000000-111-1-111-100000
χ5844-4-4-440001-2-1-1122-23322-2-2-3-3-3300-1100000000000000-222-2-222-20000000000001-1-111-1-1100000
χ5944-4-4-440001-2-1-1122-2-3-322-2-2333-300-11000000000000002i−2i−2i2i−2i2i2i−2i000000000000−iii−ii−i−ii00000
χ6044-4-4-440001-2-1-1122-2-3-322-2-2333-300-1100000000000000−2i2i2i−2i2i−2i−2i2i000000000000i−i−ii−iii−i00000
χ614-44-4004i−4i0-21-2221-1-1−2i2i3i−3i3i−3i−2i2i003-300i−i00002-22i−2i2i−2i2-2000000000000-11−ii-11−ii0000000000000
χ624-44-4004i−4i0-21-2221-1-1−2i2i3i−3i3i−3i−2i2i003-300i−i0000-22−2i2i−2i2i-220000000000001-1i−i1-1i−i0000000000000
χ634-44-4004i−4i0-21-2221-1-1−2i2i−3i3i−3i3i−2i2i00-3300i−i00002-2−2i2i2i−2i-22000000000000-11−ii1-1i−i0000000000000
χ644-44-4004i−4i0-21-2221-1-1−2i2i−3i3i−3i3i−2i2i00-3300i−i0000-222i−2i−2i2i2-20000000000001-1i−i-11−ii0000000000000
χ654-44-400−4i4i0-21-2221-1-12i−2i3i−3i3i−3i2i−2i00-3300−ii00002-22i−2i−2i2i-22000000000000-11i−i1-1−ii0000000000000
χ664-44-400−4i4i0-21-2221-1-12i−2i3i−3i3i−3i2i−2i00-3300−ii0000-22−2i2i2i−2i2-20000000000001-1−ii-11i−i0000000000000
χ674-44-400−4i4i0-21-2221-1-12i−2i−3i3i−3i3i2i−2i003-300−ii00002-2−2i2i−2i2i2-2000000000000-11i−i-11i−i0000000000000
χ684-44-400−4i4i0-21-2221-1-12i−2i−3i3i−3i3i2i−2i003-300−ii0000-222i−2i2i−2i-220000000000001-1−ii1-1−ii0000000000000
χ694-4-440000044-44-4-44-4000000000000000044-4-400000000000000000000000000000000000000000
χ704-4-440000044-44-4-44-40000000000000000-4-44400000000000000000000000000000000000000000
χ7188-8-88-8000-4244-4-2-220022-2-2000000-4400000000000000000000000000000000000000000000000
χ7288-8-8-88000-4244-4-2-2200-2-2220000004-400000000000000000000000000000000000000000000000
χ738-88-8008i−8i02-42-2-2-4442i−2i00002i−2i000000−4i4i000000000000000000000000000000000000000000000
χ748-88-800−8i8i02-42-2-2-444−2i2i0000−2i2i0000004i−4i000000000000000000000000000000000000000000000
χ758-8-88000002-4-22-24-446i−6i0000−6i6i00000000000000000000000000000000000000000000000000000
χ768-8-88000002-4-22-24-44−6i6i00006i−6i00000000000000000000000000000000000000000000000000000
χ778-8-8800000-424-44-22-2006i−6i−6i6i0000000000000000000000000000000000000000000000000000000
χ788-8-8800000-424-44-22-200−6i6i6i−6i0000000000000000000000000000000000000000000000000000000

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