Finite Group Databasebeta

← Group #11791414

Character table — Group #11791414

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122444444444488889999121212121212121216161616181818181818242424242424242424242424363636363636363648484848
order12442433668812121212661212224444444444242424242444442244121212121212121244888888661212
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1111111-1-1-1-11-11-11111-1-1-1-1-1-111-1-1-1-11-11-1
χ3111111111111111111111111-1-1-1-11111111111-1-1-1-1-11-11-1-1-1-11111-1-111-1-1-1-1-11-11
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
χ51111111111-1-111111111111111111111-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1
χ61111111111-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-11-111111-1-1-1-1-1-1-1-11111-11-11
χ71111111111-1-1111111111111-1-1-1-11111-1-1-1-111-1-1-1-11-11-1-1-1-1-11111-1-1-1-111111-11-1
χ81111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ911-1-1-111111i−i-1-1-1-1-1-11111-1-1ii−i−iii−i−iii−i−i-1111-1-111-1-1ii−i−iii−i−i1-1i−iii−i−i11-1-1
χ1011-1-1-111111i−i-1-1-1-1-1-11111-1-1ii−i−i−i−iiiii−i−i-11-1-1111-1-11ii−i−i−i−iii-11i−i−i−iii1-1-11
χ1111-1-1-111111i−i-1-1-1-1-1-11111-1-1−i−iiiii−i−iii−i−i-11-1-111-111-1−i−iiiii−i−i-11i−i−i−iii-111-1
χ1211-1-1-111111i−i-1-1-1-1-1-11111-1-1−i−iii−i−iiiii−i−i-1111-1-1-1-111−i−iii−i−iii1-1i−iii−i−i-1-111
χ1311-1-1-111111−ii-1-1-1-1-1-11111-1-1ii−i−iii−i−i−i−iii-1111-1-1-1-111ii−i−iii−i−i1-1−ii−i−iii-1-111
χ1411-1-1-111111−ii-1-1-1-1-1-11111-1-1ii−i−i−i−iii−i−iii-11-1-111-111-1ii−i−i−i−iii-11−iiii−i−i-111-1
χ1511-1-1-111111−ii-1-1-1-1-1-11111-1-1−i−iiiii−i−i−i−iii-11-1-1111-1-11−i−iiiii−i−i-11−iiii−i−i1-1-11
χ1611-1-1-111111−ii-1-1-1-1-1-11111-1-1−i−iii−i−iii−i−iii-1111-1-111-1-1−i−iii−i−iii1-1−ii−i−iii11-1-1
χ1722222222222222222222-2-2-2-2000000002222-2-2000000000000000000-2-200000000
χ182222222222-2-222222222-2-2-2-200000000-2-2-2-2-2-20000000000000000002200000000
χ192222-2-22222002222-2-2-2-22222000000000000-2-22222000000000000-2-20000000000
χ202222-2-22222002222-2-2-2-22222000000000000-2-2-2-2-2-2000000000000220000000000
χ212222-2-22222002222-2-2-2-2-2-2-2-200000000000022000000000000000000002i−2i2i−2i0000
χ222222-2-22222002222-2-2-2-2-2-2-2-20000000000002200000000000000000000−2i2i−2i2i0000
χ2322-2-22-2222200-2-2-2-222-2-222-2-20000000000002-222-2-2000000000000-220000000000
χ2422-2-22-2222200-2-2-2-222-2-222-2-20000000000002-2-2-2220000000000002-20000000000
χ2522-2-22-2222200-2-2-2-222-2-2-2-222000000000000-22000000000000000000002-2-220000
χ2622-2-22-2222200-2-2-2-222-2-2-2-222000000000000-2200000000000000000000-222-20000
χ2722-2-2-2222222i−2i-2-2-2-2-2-222-2-222000000002i2i−2i−2i2-2000000000000000000−2i2i00000000
χ2822-2-2-222222−2i2i-2-2-2-2-2-222-2-22200000000−2i−2i2i2i2-20000000000000000002i−2i00000000
χ292-22i−2i0022-2-2002i2i−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−2i0022-2-2002i2i−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−2i0022-2-2002i2i−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−2i0022-2-2002i2i−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
χ332-2−2i2i0022-2-200−2i−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
χ342-2−2i2i0022-2-200−2i−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
χ352-2−2i2i0022-2-200−2i−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
χ362-2−2i2i0022-2-200−2i−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
χ374444441-21-2441-21-21-21-20000000022221-21-200000002020000-1-1-1-1000000000-10-1
χ384444441-21-2441-21-21-21-200000000-2-2-2-21-21-20000000-20-200001111000000000101
χ394444441-21-2-4-41-21-21-21-2000000002222-12-120000000-20-20000-1-1-1-1000000000101
χ404444441-21-2-4-41-21-21-21-200000000-2-2-2-2-12-12000000020200001111000000000-10-1
χ41444444-21-2144-21-21-21-21000022220000-21-210000002020-1-1-1-1000000000000-10-10
χ42444444-21-2144-21-21-21-210000-2-2-2-20000-21-21000000-20-2011110000000000001010
χ43444444-21-21-4-4-21-21-21-210000222200002-12-1000000-20-20-1-1-1-10000000000001010
χ44444444-21-21-4-4-21-21-21-210000-2-2-2-200002-12-100000020201111000000000000-10-10
χ4544-4-4-441-21-24i−4i-12-12-121-2000000002i2i−2i−2ii−2i−i2i000000020-20000−i−iii000000000-101
χ4644-4-4-441-21-24i−4i-12-12-121-200000000−2i−2i2i2ii−2i−i2i0000000-2020000ii−i−i00000000010-1
χ4744-4-4-441-21-2−4i4i-12-12-121-2000000002i2i−2i−2i−i2ii−2i0000000-2020000−i−iii00000000010-1
χ4844-4-4-441-21-2−4i4i-12-12-121-200000000−2i−2i2i2i−i2ii−2i000000020-20000ii−i−i000000000-101
χ4944-4-4-44-21-214i−4i2-12-12-1-2100002i2i−2i−2i0000−2ii2i−i00000020-20−i−iii000000000000-1010
χ5044-4-4-44-21-214i−4i2-12-12-1-210000−2i−2i2i2i0000−2ii2i−i000000-2020ii−i−i00000000000010-10
χ5144-4-4-44-21-21−4i4i2-12-12-1-2100002i2i−2i−2i00002i−i−2ii000000-2020−i−iii00000000000010-10
χ5244-4-4-44-21-21−4i4i2-12-12-1-210000−2i−2i2i2i00002i−i−2ii00000020-20ii−i−i000000000000-1010
χ534-44i−4i0044-4-4004i4i−4i−4i0000-44−4i4i000000000000000000000000000000000000000000
χ544-4−4i4i0044-4-400−4i−4i4i4i0000-444i−4i000000000000000000000000000000000000000000
χ558888-8-82-42-4002-42-4-24-240000000000000000000000000000000000000000000000
χ568888-8-8-42-4200-42-424-24-20000000000000000000000000000000000000000000000
χ5788-8-88-82-42-400-24-242-4-240000000000000000000000000000000000000000000000
χ5888-8-88-8-42-42004-24-2-424-20000000000000000000000000000000000000000000000
χ598-88i−8i002-4-24002i−4i−2i4i0000000000002+2i−2−2i2−2i−2+2i000000000000000000−1−i1+i−1+i1−i000000000000
χ608-88i−8i002-4-24002i−4i−2i4i000000000000−2−2i2+2i−2+2i2−2i0000000000000000001+i−1−i1−i−1+i000000000000
χ618-88i−8i00-424-200−4i2i4i−2i000000002+2i−2−2i2−2i−2+2i000000000000000000−1−i1+i−1+i1−i0000000000000000
χ628-88i−8i00-424-200−4i2i4i−2i00000000−2−2i2+2i−2+2i2−2i0000000000000000001+i−1−i1−i−1+i0000000000000000
χ638-8−8i8i002-4-2400−2i4i2i−4i0000000000002−2i−2+2i2+2i−2−2i000000000000000000−1+i1−i−1−i1+i000000000000
χ648-8−8i8i002-4-2400−2i4i2i−4i000000000000−2+2i2−2i−2−2i2+2i0000000000000000001−i−1+i1+i−1−i000000000000
χ658-8−8i8i00-424-2004i−2i−4i2i000000002−2i−2+2i2+2i−2−2i000000000000000000−1+i1−i−1−i1+i0000000000000000
χ668-8−8i8i00-424-2004i−2i−4i2i00000000−2+2i2−2i−2−2i2+2i0000000000000000001−i−1+i1+i−1−i0000000000000000

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