Finite Group Databasebeta

← Group #11785332

Character table — Group #11785332

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122444444444488889999121212121212121216161616181818181818242424242424242424242424363636363636363648484848
order12442423346612121212661212224444444444661212244444888812121212121212122444444424242424
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-111-1-1
χ3111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ4111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ5111111-111-11111111111111111111111-1-1-1-1111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1
χ6111111-111-1111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111
χ7111111-111-111111111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ8111111-111-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ911-1-1-11111-111-1-1-1-1-1-11111-1-1ii−i−iii−i−i11-1-1-1111-1-1i−ii−iii−i−iii−i−i1-11-111-1-1i−ii−i
χ1011-1-1-11111-111-1-1-1-1-1-11111-1-1ii−i−i−i−iii11-1-1-11-1-111i−i−iiii−i−i−i−iii1-1-11-1-111i−i−ii
χ1111-1-1-11111-111-1-1-1-1-1-11111-1-1−i−iiiii−i−i11-1-1-11-1-111−iii−i−i−iiiii−i−i1-1-11-1-111−iii−i
χ1211-1-1-11111-111-1-1-1-1-1-11111-1-1−i−iii−i−iii11-1-1-1111-1-1−ii−ii−i−iii−i−iii1-11-111-1-1−ii−ii
χ1311-1-1-11-111111-1-1-1-1-1-11111-1-1ii−i−iii−i−i-1-111-1111-1-1−ii−iiii−i−iii−i−i-111-1-1-111−ii−ii
χ1411-1-1-11-111111-1-1-1-1-1-11111-1-1ii−i−i−i−iii-1-111-11-1-111−iii−iii−i−i−i−iii-11-1111-1-1−iii−i
χ1511-1-1-11-111111-1-1-1-1-1-11111-1-1−i−iiiii−i−i-1-111-11-1-111i−i−ii−i−iiiii−i−i-11-1111-1-1i−i−ii
χ1611-1-1-11-111111-1-1-1-1-1-11111-1-1−i−iii−i−iii-1-111-1111-1-1i−ii−i−i−iii−i−iii-111-1-1-111i−ii−i
χ1722222222222222222222-2-2-2-2000000002222-2-20000000000000000-2-20000000000
χ18222222-222-22222222222-2-2-2-200000000-2-2-2-2-2-20000000000000000220000000000
χ192222-2-20220222222-2-2-2-22222000000000000-2-2222200000000000000-2-200000000
χ202222-2-20220222222-2-2-2-22222000000000000-2-2-2-2-2-2000000000000002200000000
χ212222-2-20220222222-2-2-2-2-2-2-2-200000000000022000000000000000000002i−2i2i−2i0000
χ222222-2-20220222222-2-2-2-2-2-2-2-20000000000002200000000000000000000−2i2i−2i2i0000
χ2322-2-22-2022022-2-2-2-222-2-222-2-20000000000002-222-2-200000000000000-2200000000
χ2422-2-22-2022022-2-2-2-222-2-222-2-20000000000002-2-2-222000000000000002-200000000
χ2522-2-22-2022022-2-2-2-222-2-2-2-222000000000000-22000000000000000000002i−2i−2i2i0000
χ2622-2-22-2022022-2-2-2-222-2-2-2-222000000000000-2200000000000000000000−2i2i2i−2i0000
χ2722-2-2-22222-222-2-2-2-2-2-222-2-2220000000022-2-22-20000000000000000-220000000000
χ2822-2-2-22-222222-2-2-2-2-2-222-2-22200000000-2-2222-200000000000000002-20000000000
χ292-22i−2i000220-2-22i2i−2i−2i00002-22i−2i1+i−1−i1−i−1+i1+i−1−i1−i−1+i0000002-22i−2i00001+i−1−i1−i−1+i1+i−1−i1−i−1+i000000000000
χ302-22i−2i000220-2-22i2i−2i−2i00002-22i−2i1+i−1−i1−i−1+i−1−i1+i−1+i1−i000000-22−2i2i00001+i−1−i1−i−1+i−1−i1+i−1+i1−i000000000000
χ312-22i−2i000220-2-22i2i−2i−2i00002-22i−2i−1−i1+i−1+i1−i1+i−1−i1−i−1+i000000-22−2i2i0000−1−i1+i−1+i1−i1+i−1−i1−i−1+i000000000000
χ322-22i−2i000220-2-22i2i−2i−2i00002-22i−2i−1−i1+i−1+i1−i−1−i1+i−1+i1−i0000002-22i−2i0000−1−i1+i−1+i1−i−1−i1+i−1+i1−i000000000000
χ332-2−2i2i000220-2-2−2i−2i2i2i00002-2−2i2i1−i−1+i1+i−1−i1−i−1+i1+i−1−i0000002-2−2i2i00001−i−1+i1+i−1−i1−i−1+i1+i−1−i000000000000
χ342-2−2i2i000220-2-2−2i−2i2i2i00002-2−2i2i1−i−1+i1+i−1−i−1+i1−i−1−i1+i000000-222i−2i00001−i−1+i1+i−1−i−1+i1−i−1−i1+i000000000000
χ352-2−2i2i000220-2-2−2i−2i2i2i00002-2−2i2i−1+i1−i−1−i1+i1−i−1+i1+i−1−i000000-222i−2i0000−1+i1−i−1−i1+i1−i−1+i1+i−1−i000000000000
χ362-2−2i2i000220-2-2−2i−2i2i2i00002-2−2i2i−1+i1−i−1−i1+i−1+i1−i−1−i1+i0000002-2−2i2i0000−1+i1−i−1−i1+i−1+i1−i−1−i1+i000000000000
χ3744444441-241-21-21-21-21-20000000022221-21-200000000220000-1-1-1-10000000000-1-1
χ3844444441-241-21-21-21-21-200000000-2-2-2-21-21-200000000-2-200001111000000000011
χ394444444-214-21-21-21-21-21000022220000-21-210000002200-1-1-1-1000000000000-1-100
χ404444444-214-21-21-21-21-210000-2-2-2-20000-21-21000000-2-20011110000000000001100
χ41444444-41-2-41-21-21-21-21-2000000002222-12-1200000000-2-20000-1-1-1-1000000000011
χ42444444-41-2-41-21-21-21-21-200000000-2-2-2-2-12-120000000022000011110000000000-1-1
χ43444444-4-21-4-21-21-21-21-210000222200002-12-1000000-2-200-1-1-1-10000000000001100
χ44444444-4-21-4-21-21-21-21-210000-2-2-2-200002-12-100000022001111000000000000-1-100
χ4544-4-4-4441-2-41-2-12-12-121-2000000002i2i−2i−2i1-2-12000000002i−2i0000−i−iii0000000000−ii
χ4644-4-4-4441-2-41-2-12-12-121-200000000−2i−2i2i2i1-2-1200000000−2i2i0000ii−i−i0000000000i−i
χ4744-4-4-444-21-4-212-12-12-1-2100002i2i−2i−2i0000-212-10000002i−2i00−i−iii000000000000−ii00
χ4844-4-4-444-21-4-212-12-12-1-210000−2i−2i2i2i0000-212-1000000−2i2i00ii−i−i000000000000i−i00
χ4944-4-4-44-41-241-2-12-12-121-2000000002i2i−2i−2i-121-200000000−2i2i0000−i−iii0000000000i−i
χ5044-4-4-44-41-241-2-12-12-121-200000000−2i−2i2i2i-121-2000000002i−2i0000ii−i−i0000000000−ii
χ5144-4-4-44-4-214-212-12-12-1-2100002i2i−2i−2i00002-1-21000000−2i2i00−i−iii000000000000i−i00
χ5244-4-4-44-4-214-212-12-12-1-210000−2i−2i2i2i00002-1-210000002i−2i00ii−i−i000000000000−ii00
χ534-44i−4i000440-4-44i4i−4i−4i0000-44−4i4i000000000000000000000000000000000000000000
χ544-4−4i4i000440-4-4−4i−4i4i4i0000-444i−4i000000000000000000000000000000000000000000
χ558888-8-802-402-42-42-4-24-240000000000000000000000000000000000000000000000
χ568888-8-80-420-42-42-424-24-20000000000000000000000000000000000000000000000
χ5788-8-88-802-402-4-24-242-4-240000000000000000000000000000000000000000000000
χ5888-8-88-80-420-424-24-2-424-20000000000000000000000000000000000000000000000
χ598-88i−8i0002-40-242i−4i−2i4i0000000000002+2i−2−2i2−2i−2+2i000000000000000000−1−i1+i−1+i1−i000000000000
χ608-88i−8i0002-40-242i−4i−2i4i000000000000−2−2i2+2i−2+2i2−2i0000000000000000001+i−1−i1−i−1+i000000000000
χ618-88i−8i000-4204-2−4i2i4i−2i000000002+2i−2−2i2−2i−2+2i000000000000000000−1−i1+i−1+i1−i0000000000000000
χ628-88i−8i000-4204-2−4i2i4i−2i00000000−2−2i2+2i−2+2i2−2i0000000000000000001+i−1−i1−i−1+i0000000000000000
χ638-8−8i8i0002-40-24−2i4i2i−4i0000000000002−2i−2+2i2+2i−2−2i000000000000000000−1+i1−i−1−i1+i000000000000
χ648-8−8i8i0002-40-24−2i4i2i−4i000000000000−2+2i2−2i−2−2i2+2i0000000000000000001−i−1+i1+i−1−i000000000000
χ658-8−8i8i000-4204-24i−2i−4i2i000000002−2i−2+2i2+2i−2−2i000000000000000000−1+i1−i−1−i1+i0000000000000000
χ668-8−8i8i000-4204-24i−2i−4i2i00000000−2+2i2−2i−2−2i2+2i0000000000000000001−i−1+i1+i−1−i0000000000000000

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