Finite Group Databasebeta

← Group #11788136

Character table — Group #11788136

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11112244444444448888888888888899991616161616161616181836363636363636363636727272727272
order122244233466666624666612121212121212122222666612121212442488888888244444
χ1111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111-1-1-1-111111111-1-1-1-1iiii−i−i−i−i-1-1ii−i−i
χ4111111111111111111111111111111-1-1-1-111111111-1-1-1-1−i−i−i−iiiii-1-1−i−iii
χ51111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ61111111111111111-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i11−i−iii
χ81111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii11ii−i−i
χ9111111-111-11111111-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-111-1-111-1-11-11-11-1
χ10111111-111-11111111-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1111-1-11-11
χ11111111-111-11111111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111ii−i−i−i−iii-11i−i−ii
χ12111111-111-11111111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111−i−iiiii−i−i-11−iii−i
χ13111111-111-1111111-11-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1-11-11-11
χ14111111-111-1111111-11-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-111-11-1
χ15111111-111-1111111-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111ii−i−i−i−iii1-1−iii−i
χ16111111-111-1111111-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111−i−iiiii−i−i1-1i−i−ii
χ172222-2-2222-2222222002222-2-2-2-2-2-2-2-2222200000000-2-22-200000000000000
χ182222-2-2222-2222222002222-2-2-2-2-2-2-2-2-2-2-2-20000000022-2200000000000000
χ192222-2-2-222222222200-2-2-2-2-2-2-2-22222222200000000-2-2-2200000000000000
χ202222-2-2-222222222200-2-2-2-2-2-2-2-22222-2-2-2-200000000222-200000000000000
χ212-22-22-20220-2-222-2-200000022-2-200002-22-2000000002-200002i−2i002i−2i000000
χ222-22-22-20220-2-222-2-200000022-2-200002-22-2000000002-20000−2i2i00−2i2i000000
χ232-22-22-20220-2-222-2-200000022-2-20000-22-2200000000-2200002-200-22000000
χ242-22-22-20220-2-222-2-200000022-2-20000-22-2200000000-220000-22002-2000000
χ252-22-2-220220-2-222-2-2000000-2-22200002-22-200000000-22002-2002-200000000
χ262-22-2-220220-2-222-2-2000000-2-22200002-22-200000000-2200-2200-2200000000
χ272-22-2-220220-2-222-2-2000000-2-2220000-22-22000000002-2002i−2i00−2i2i00000000
χ282-22-2-220220-2-222-2-2000000-2-2220000-22-22000000002-200−2i2i002i−2i00000000
χ2944444441-241-21-21-24411-2-21-21-211-2-2000011-2-211-2-2000000000000000000
χ3044444441-241-21-21-2-4-411-2-21-21-211-2-20000-1-122-1-122000000000000000000
χ314444444-214-21-21-2144-2-211-21-21-2-2110000-2-211-2-211000000000000000000
χ324444444-214-21-21-21-4-4-2-211-21-21-2-211000022-1-122-1-1000000000000000000
χ33444444-41-2-41-21-21-24-4-1-1221-21-2-1-122000011-2-2-1-122000000000000000000
χ34444444-41-2-41-21-21-2-44-1-1221-21-2-1-1220000-1-12211-2-2000000000000000000
χ35444444-4-21-4-21-21-214-422-1-1-21-2122-1-10000-2-21122-1-1000000000000000000
χ36444444-4-21-4-21-21-21-4422-1-1-21-2122-1-1000022-1-1-2-211000000000000000000
χ374444-4-441-2-41-21-21-20011-2-2-12-12-1-12200003-3003-300000000000000000000
χ384444-4-441-2-41-21-21-20011-2-2-12-12-1-1220000-3300-3300000000000000000000
χ394444-4-44-21-4-21-21-2100-2-2112-12-122-1-10000003-3003-3000000000000000000
χ404444-4-44-21-4-21-21-2100-2-2112-12-122-1-1000000-3300-33000000000000000000
χ414444-4-4-41-241-21-21-200-1-122-12-1211-2-200003-300-3300000000000000000000
χ424444-4-4-41-241-21-21-200-1-122-12-1211-2-20000-33003-300000000000000000000
χ434444-4-4-4-214-21-21-210022-1-12-12-1-2-2110000003-300-33000000000000000000
χ444444-4-4-4-214-21-21-210022-1-12-12-1-2-211000000-33003-3000000000000000000
χ4544-4-400044044-4-4-4-40000000000000044-4-400000000000000000000000000
χ4644-4-400044044-4-4-4-400000000000000-4-44400000000000000000000000000
χ474-4-44000440-4-4-4-444000000000000004-4-4400000000000000000000000000
χ484-4-44000440-4-4-4-44400000000000000-444-400000000000000000000000000
χ4988-8-80002-402-4-24-2400000000006i−6i00000000000000000000000000000000
χ5088-8-80002-402-4-24-240000000000−6i6i00000000000000000000000000000000
χ5188-8-8000-420-424-24-20000000000006i−6i000000000000000000000000000000
χ5288-8-8000-420-424-24-2000000000000−6i6i000000000000000000000000000000
χ538-88-88-802-40-242-4-240000002-4-240000000000000000000000000000000000
χ548-88-88-80-4204-2-424-2000000-424-20000000000000000000000000000000000
χ558-88-8-8802-40-242-4-24000000-242-40000000000000000000000000000000000
χ568-88-8-880-4204-2-424-20000004-2-420000000000000000000000000000000000
χ578-8-880002-40-24-242-4006-60000000000000000000000000000000000000000
χ588-8-880002-40-24-242-400-660000000000000000000000000000000000000000
χ598-8-88000-4204-24-2-4200006-600000000000000000000000000000000000000
χ608-8-88000-4204-24-2-420000-6600000000000000000000000000000000000000

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