Finite Group Databasebeta

← Group #11788763

Character table — Group #11788763

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1122244444444444444888888888812121212121212121818181824242424242424242424242436364848484872727272
order12244233466666612121212666612121212121288888888224422442424242424242424246612124444
χ1111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ511111-111-1-1-11111-1-1111-1-1-1111-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-111-1-1
χ611111-111-1-1-11111-1-1111-1-1-1111-1-1-11111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111-1-111
χ711111-111-1-1-11111-1-1111-1-1-1111-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-111-1-1-1-111
χ811111-111-1-1-11111-1-1111-1-1-1111-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-11111-1-1
χ9111-1-1111-1111111-1-1-1-11111-1-1-1-1-1-1ii−i−iii−i−i-1-1111-11-1ii−i−iii−i−i1-11-11-1i−ii−i
χ10111-1-1111-1111111-1-1-1-11111-1-1-1-1-1-1ii−i−iii−i−i-1-111-11-11ii−i−iii−i−i1-1-11-11−ii−ii
χ11111-1-1111-1111111-1-1-1-11111-1-1-1-1-1-1−i−iii−i−iii-1-1111-11-1−i−iii−i−iii1-11-11-1−ii−ii
χ12111-1-1111-1111111-1-1-1-11111-1-1-1-1-1-1−i−iii−i−iii-1-111-11-11−i−iii−i−iii1-1-11-11i−ii−i
χ13111-1-1-1111-1-1111111-1-11-1-1-1-1-1-1111ii−i−i−i−iii-1-1111-1-11ii−i−i−i−iii-111-1-11i−i−ii
χ14111-1-1-1111-1-1111111-1-11-1-1-1-1-1-1111ii−i−i−i−iii-1-111-111-1ii−i−i−i−iii-11-111-1−iii−i
χ15111-1-1-1111-1-1111111-1-11-1-1-1-1-1-1111−i−iiiii−i−i-1-1111-1-11−i−iiiii−i−i-111-1-11−iii−i
χ16111-1-1-1111-1-1111111-1-11-1-1-1-1-1-1111−i−iiiii−i−i-1-111-111-1−i−iiiii−i−i-11-111-1i−i−ii
χ172222222222222222222222222222200000000-2-2-2-2000000000000-2-200000000
χ1822222-222-2-2-22222-2-2222-2-2-2222-2-2-200000000-2-2-2-20000000000002200000000
χ19222-2-2222-2222222-2-2-2-22222-2-2-2-2-2-20000000022-2-2000000000000-2200000000
χ20222-2-2-2222-2-2222222-2-22-2-2-2-2-2-22220000000022-2-20000000000002-200000000
χ2122-22-2022000-222-200-2-2-200022-200000002i−2i2i−2i2-22-2000000002i−2i2i−2i0000000000
χ2222-22-2022000-222-200-2-2-200022-20000000−2i2i−2i2i2-22-200000000−2i2i−2i2i0000000000
χ2322-22-2022000-222-200-2-2-200022-20002i−2i2i−2i0000-22-2200002i−2i2i−2i00000000000000
χ2422-22-2022000-222-200-2-2-200022-2000−2i2i−2i2i0000-22-220000−2i2i−2i2i00000000000000
χ2522-2-22022000-222-20022-2000-2-2200000002-2-22-222-2000000002-2-220000000000
χ2622-2-22022000-222-20022-2000-2-220000000-222-2-222-200000000-222-20000000000
χ2722-2-22022000-222-20022-2000-2-220002-2-2200002-2-2200002-2-2200000000000000
χ2822-2-22022000-222-20022-2000-2-22000-222-200002-2-220000-222-200000000000000
χ294444441-2411-21-2-2111111-2-21-2-21-2-22222222200000000-1-1-1-1-1-1-1-10000000000
χ304444441-2411-21-2-2111111-2-21-2-21-2-2-2-2-2-2-2-2-2-200000000111111110000000000
χ31444444-214-2-21-211-2-2-2-2-2-211-211-21100000000000022220000000000-1-1-1-10000
χ32444444-214-2-21-211-2-2-2-2-2-211-211-211000000000000-2-2-2-2000000000011110000
χ3344444-41-2-4-1-1-21-2-2-1-1111-1221-2-2-1222222-2-2-2-200000000-1-1-1-111110000000000
χ3444444-41-2-4-1-1-21-2-2-1-1111-1221-2-2-122-2-2-2-22222000000001111-1-1-1-10000000000
χ3544444-4-21-4221-21122-2-2-22-1-1-2112-1-100000000000022-2-20000000000-1-1110000
χ3644444-4-21-4221-21122-2-2-22-1-1-2112-1-1000000000000-2-222000000000011-1-10000
χ37444-4-441-2-411-21-2-2-1-1-1-111-2-2-122-1222i2i−2i−2i2i2i−2i−2i00000000−i−iii−i−iii0000000000
χ38444-4-441-2-411-21-2-2-1-1-1-111-2-2-122-122−2i−2i2i2i−2i−2i2i2i00000000ii−i−iii−i−i0000000000
χ39444-4-44-21-4-2-21-2112222-2-2112-1-12-1-10000000000002-22-20000000000-11-110000
χ40444-4-44-21-4-2-21-2112222-2-2112-1-12-1-1000000000000-22-2200000000001-11-10000
χ41444-4-4-41-24-1-1-21-2-211-1-11-122-1221-2-22i2i−2i−2i−2i−2i2i2i00000000−i−iiiii−i−i0000000000
χ42444-4-4-41-24-1-1-21-2-211-1-11-122-1221-2-2−2i−2i2i2i2i2i−2i−2i00000000ii−i−i−i−iii0000000000
χ43444-4-4-4-214221-211-2-222-22-1-12-1-1-2110000000000002-2-220000000000-111-10000
χ44444-4-4-4-214221-211-2-222-22-1-12-1-1-211000000000000-222-200000000001-1-110000
χ4544-44-401-203321-22-3-3-1-1-1-3001-223002i−2i2i−2i2i−2i2i−2i00000000−ii−ii−ii−ii0000000000
χ4644-44-401-203321-22-3-3-1-1-1-3001-22300−2i2i−2i2i−2i2i−2i2i00000000i−ii−ii−ii−i0000000000
χ4744-44-401-20-3-321-2233-1-1-13001-22-3002i−2i2i−2i−2i2i−2i2i00000000−ii−iii−ii−i0000000000
χ4844-44-401-20-3-321-2233-1-1-13001-22-300−2i2i−2i2i2i−2i2i−2i00000000i−ii−i−ii−ii0000000000
χ4944-4-4401-203321-223311-1-300-12-2-3002-2-222-2-2200000000-111-1-111-10000000000
χ5044-4-4401-203321-223311-1-300-12-2-300-222-2-222-2000000001-1-111-1-110000000000
χ5144-4-4401-20-3-321-22-3-311-1300-12-23002-2-22-222-200000000-111-11-1-110000000000
χ5244-4-4401-20-3-321-22-3-311-1300-12-2300-222-22-2-22000000001-1-11-111-10000000000
χ5388-88-80-42000-2-42-200444000-42-20000000000000000000000000000000000000
χ5488-8-880-42000-2-42-200-4-440004-220000000000000000000000000000000000000
χ558-800002-40−2i32i30-24023−236i−6i00−2i32i3000023−230000000000000000000000000000000000
χ568-800002-40−2i32i30-240−2323−6i6i00−2i32i30000−23230000000000000000000000000000000000
χ578-800002-402i3−2i30-24023−23−6i6i002i3−2i3000023−230000000000000000000000000000000000
χ588-800002-402i3−2i30-240−23236i−6i002i3−2i30000−23230000000000000000000000000000000000
χ598-80000880000-8-80000000000000000000000000000000000000000000000000
χ608-80000-42000-64-2643−430000000000−23230000000000000000000000000000000000
χ618-80000-42000-64-26−4343000000000023−230000000000000000000000000000000000
χ628-80000-420−4i34i364-2-60000002i3−2i30000000000000000000000000000000000000000
χ638-80000-4204i3−4i364-2-6000000−2i32i30000000000000000000000000000000000000000

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