Finite Group Databasebeta

← Group #11784916

Character table — Group #11784916

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size112224444444488888888899121212121212121212121212161618181824242424242424242424242424243636484872727272
order12244233466121266661212121212222244444444446122446688121212121212121212122424244488
χ1111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-11111111-1-1111111-1-1-1-111-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-111-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ511111-111-111111-1-11111-1-1111111-1-1-1-11111-1-111111-1-111-1-1-1-11111-1-1-1-1-1-111
χ611111-111-111111-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ711111-111-111111-1-11111-1-111-1-1-1-111111111-1-1111-1-1-1-1-1-111111111-1-1-1-111-1-1
χ811111-111-111111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1111-1-111-1-11111-1-1-1-1-1-111-1-111
χ911-11-1111-111-1-1-111-111-1-1-1-1-11-11-111-1-1ii−i−i1-111-11-1i−i1-111-1-1ii−i−i-11i−ii−ii−i
χ1011-11-1111-111-1-1-111-111-1-1-1-1-11-11-111-1-1−i−iii1-111-11-1−ii1-111-1-1−i−iii-11−ii−ii−ii
χ1111-11-1111-111-1-1-111-111-1-1-1-1-1-11-11-1-111ii−i−i1-111-1-11i−i-11-1-111ii−i−i-11i−i−ii−ii
χ1211-11-1111-111-1-1-111-111-1-1-1-1-1-11-11-1-111−i−iii1-111-1-11−ii-11-1-111−i−iii-11−iii−ii−i
χ1311-11-1-111111-1-1-1-1-1-111-111-1-11-11-1-1-111ii−i−i-1111-11-1−ii1-1-1-111ii−i−i1-1−ii−iii−i
χ1411-11-1-111111-1-1-1-1-1-111-111-1-11-11-1-1-111−i−iii-1111-11-1i−i1-1-1-111−i−iii1-1i−ii−i−ii
χ1511-11-1-111111-1-1-1-1-1-111-111-1-1-11-1111-1-1ii−i−i-1111-1-11−ii-1111-1-1ii−i−i1-1−iii−i−ii
χ1611-11-1-111111-1-1-1-1-1-111-111-1-1-11-1111-1-1−i−iii-1111-1-11i−i-1111-1-1−i−iii1-1i−i−iii−i
χ172222222222222222222222-2-200000000000022-2-2-200000000000000-2-2000000
χ1822222-222-222222-2-22222-2-2-2-2000000000000-2-2-2-2-20000000000000022000000
χ19222-2-2022022-2-22002-2-2-2002200002-22-20000002-2-20000002-22-2000000000000
χ20222-2-2022022-2-22002-2-2-200220000-22-220000002-2-2000000-22-22000000000000
χ21222-2-2022022-2-22002-2-2-200-2-22-2-220000000000-2222-200-220000000000000000
χ22222-2-2022022-2-22002-2-2-200-2-2-222-20000000000-222-22002-20000000000000000
χ2322-22-2222-222-2-2-222-222-2-2-2220000000000002-2-2-22000000000000002-2000000
χ2422-22-2-222222-2-2-2-2-2-222-22222000000000000-22-2-2200000000000000-22000000
χ2522-2-2202202222-200-2-2-22002222-2-20000000000-22-22200-2-20000000000000000
χ2622-2-2202202222-200-2-2-220022-2-2220000000000-22-2-2-200220000000000000000
χ2722-2-2202202222-200-2-2-2200-2-200002-2-220000002-220000002-2-22000000000000
χ2822-2-2202202222-200-2-2-2200-2-20000-222-20000002-22000000-222-2000000000000
χ294444441-241-211-2-2-211-2-2-2-200000000002222110000022000000-1-1-1-100-1-10000
χ304444441-241-211-2-2-211-2-2-2-20000000000-2-2-2-21100000-2-2000000111100110000
χ31444444-214-21-2-2111-2-2111100222222220000-2-2000-1-100-1-1-1-1-1-1000000000000
χ32444444-214-21-2-2111-2-2111100-2-2-2-2-2-2-2-20000-2-20001100111111000000000000
χ3344444-41-2-41-211-22211-2-22200000000002222-1-100000-2-2000000-1-1-1-100110000
χ3444444-41-2-41-211-22211-2-2220000000000-2-2-2-2-1-10000022000000111100-1-10000
χ3544444-4-21-4-21-2-21-1-1-2-211-1-1002222-2-2-2-2000022000-1-100-1-11111000000000000
χ3644444-4-21-4-21-2-21-1-1-2-211-1-100-2-2-2-22222000022000110011-1-1-1-1000000000000
χ37444-4-40-210-212213-3-22-1-13-3002-2-222-22-2000000000-11001-1-11-11000000000000
χ38444-4-40-210-212213-3-22-1-13-300-222-2-22-220000000001-100-111-11-1000000000000
χ39444-4-40-210-21221-33-22-1-1-33002-2-22-22-22000000000-11001-11-11-1000000000000
χ40444-4-40-210-21221-33-22-1-1-3300-222-22-22-20000000001-100-11-11-11000000000000
χ4144-44-441-2-41-2-1-12-2-2-11-222200000000002i2i−2i−2i1-1000002i−2i000000−i−iii00−ii0000
χ4244-44-441-2-41-2-1-12-2-2-11-22220000000000−2i−2i2i2i1-100000−2i2i000000ii−i−i00i−i0000
χ4344-44-44-21-4-2122-1112-21-1-1-1002-22-222-2-20000-22000-1100-11-1-111000000000000
χ4444-44-44-21-4-2122-1112-21-1-1-100-22-22-2-2220000-220001-1001-111-1-1000000000000
χ4544-44-4-41-241-2-1-1222-11-22-2-200000000002i2i−2i−2i-1100000−2i2i000000−i−iii00i−i0000
χ4644-44-4-41-241-2-1-1222-11-22-2-20000000000−2i−2i2i2i-11000002i−2i000000ii−i−i00−ii0000
χ4744-44-4-4-214-2122-1-1-12-21-111002-22-2-2-22200002-2000-1100-1111-1-1000000000000
χ4844-44-4-4-214-2122-1-1-12-21-11100-22-2222-2-200002-20001-1001-1-1-111000000000000
χ4944-4-440-210-21-2-2-13-322-11-330022-2-22-2-22000000000-1-10011-111-1000000000000
χ5044-4-440-210-21-2-2-13-322-11-3300-2-222-222-20000000001100-1-11-1-11000000000000
χ5144-4-440-210-21-2-2-1-3322-113-30022-2-2-222-2000000000-1-100111-1-11000000000000
χ5244-4-440-210-21-2-2-1-3322-113-300-2-2222-2-220000000001100-1-1-111-1000000000000
χ534-40000440-4-4000000000004-4000000002-22-20000000000000002-22-200000000
χ544-40000440-4-4000000000004-400000000-22-22000000000000000-22-2200000000
χ554-40000440-4-400000000000-44000000002i−2i−2i2i0000000000000002i−2i−2i2i00000000
χ564-40000440-4-400000000000-4400000000−2i2i2i−2i000000000000000−2i2i2i−2i00000000
χ57888-8-802-402-4-2-2-4002-2440000000000000000000000000000000000000000000
χ5888-8-8802-402-422400-2-24-40000000000000000000000000000000000000000000
χ598-800002-40-246i−6i00000000000000000002+2i−2−2i2−2i−2+2i000000000000000−1−i1+i−1+i1−i00000000
χ608-800002-40-246i−6i0000000000000000000−2−2i2+2i−2+2i2−2i0000000000000001+i−1−i1−i−1+i00000000
χ618-800002-40-24−6i6i00000000000000000002−2i−2+2i2+2i−2−2i000000000000000−1+i1−i−1−i1+i00000000
χ628-800002-40-24−6i6i0000000000000000000−2+2i2−2i−2−2i2+2i0000000000000001−i−1+i1+i−1−i00000000
χ6316-160000-8408-40000000000000000000000000000000000000000000000000000

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