Finite Group Databasebeta

← Group #11776220

Character table — Group #11776220

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111222244444444488888888888888999916161616161616161818181836363636363636363636363636363636367272
order1222444433466666624121212121212121212121212444466661212121244442888888888888888824
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ31111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1
χ41111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1
χ511111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1
χ611111111111111111-1-11111111111111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1
χ711111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii11
χ811111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i11
χ91111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11ii−i−iii−i−iii−i−iii−i−i-11
χ101111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11−i−iii−i−iii−i−iii−i−iii-11
χ111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-111-1-111-1-1-1-111-1-1111-1
χ121111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-111-1-11111-1-111-1-11-1
χ131111-1-1-1-1111111111-11-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11ii−i−i−i−iiiii−i−i−i−iii1-1
χ141111-1-1-1-1111111111-11-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11−i−iiiii−i−i−i−iiiii−i−i1-1
χ151111-1-1-1-1111111111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-111-1-1-1-111-1-11111-1-1-11
χ161111-1-1-1-1111111111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-11111-1-111-1-1-1-111-11
χ17222222-2-222-2222222002222-2-2-2-2-2-2-2-222220000000022-2-2-2000000000000000000
χ18222222-2-222-2222222002222-2-2-2-2-2-2-2-2-2-2-2-200000000-2-2222000000000000000000
χ192222-2-22222-222222200-2-2-2-22222-2-2-2-2222200000000-2-222-2000000000000000000
χ202222-2-22222-222222200-2-2-2-22222-2-2-2-2-2-2-2-20000000022-2-22000000000000000000
χ2122-2-2002i−2i22022-2-2-2-20000002i2i−2i−2i00002i2i−2i−2i00000000002-20i2−i22−200002−2i2−i2000000
χ2222-2-2002i−2i22022-2-2-2-20000002i2i−2i−2i00002i2i−2i−2i00000000002-20−i2i2−220000−22−i2i2000000
χ2322-2-2002i−2i22022-2-2-2-20000002i2i−2i−2i0000−2i−2i2i2i0000000000-2202−2−i2i20000i2−i2−22000000
χ2422-2-2002i−2i22022-2-2-2-20000002i2i−2i−2i0000−2i−2i2i2i0000000000-220−22i2−i20000−i2i22−2000000
χ2522-2-200−2i2i22022-2-2-2-2000000−2i−2i2i2i00002i2i−2i−2i0000000000-2202−2i2−i20000−i2i2−22000000
χ2622-2-200−2i2i22022-2-2-2-2000000−2i−2i2i2i00002i2i−2i−2i0000000000-220−22−i2i20000i2−i22−2000000
χ2722-2-200−2i2i22022-2-2-2-2000000−2i−2i2i2i0000−2i−2i2i2i00000000002-20i2−i2−220000−22i2−i2000000
χ2822-2-200−2i2i22022-2-2-2-2000000−2i−2i2i2i0000−2i−2i2i2i00000000002-20−i2i22−200002−2−i2i2000000
χ292-22-22i−2i00220-2-222-2-2002i2i−2i−2i000000002i−2i2i−2i000000002-200000002−2i2−i20000i2−i22−200
χ302-22-22i−2i00220-2-222-2-2002i2i−2i−2i000000002i−2i2i−2i000000002-20000000−22−i2i20000−i2i2−2200
χ312-22-22i−2i00220-2-222-2-2002i2i−2i−2i00000000−2i2i−2i2i00000000-220000000i2−i2−2200002−2−i2i200
χ322-22-22i−2i00220-2-222-2-2002i2i−2i−2i00000000−2i2i−2i2i00000000-220000000−i2i22−20000−22i2−i200
χ332-22-2−2i2i00220-2-222-2-200−2i−2i2i2i000000002i−2i2i−2i00000000-220000000i2−i22−20000−22−i2i200
χ342-22-2−2i2i00220-2-222-2-200−2i−2i2i2i000000002i−2i2i−2i00000000-220000000−i2i2−2200002−2i2−i200
χ352-22-2−2i2i00220-2-222-2-200−2i−2i2i2i00000000−2i2i−2i2i000000002-200000002−2−i2i20000−i2i22−200
χ362-22-2−2i2i00220-2-222-2-200−2i−2i2i2i00000000−2i2i−2i2i000000002-20000000−22i2−i20000i2−i2−2200
χ37444444441-241-21-21-2441-21-21-21-211-2-2000011-2-211-2-200000000000000000000000
χ38444444441-241-21-21-2-4-41-21-21-21-211-2-20000-1-122-1-12200000000000000000000000
χ3944444444-214-21-21-2144-21-21-21-21-2-2110000-2-211-2-21100000000000000000000000
χ4044444444-214-21-21-21-4-4-21-21-21-21-2-211000022-1-122-1-100000000000000000000000
χ41444444-4-41-2-41-21-21-2001-21-2-12-12-1-12200003-3003-30000000000000000000000000
χ42444444-4-41-2-41-21-21-2001-21-2-12-12-1-1220000-3300-330000000000000000000000000
χ43444444-4-4-21-4-21-21-2100-21-212-12-122-1-10000003-3003-300000000000000000000000
χ44444444-4-4-21-4-21-21-2100-21-212-12-122-1-1000000-3300-3300000000000000000000000
χ454444-4-4441-2-41-21-21-200-12-121-21-2-1-12200003-300-330000000000000000000000000
χ464444-4-4441-2-41-21-21-200-12-121-21-2-1-1220000-33003-30000000000000000000000000
χ474444-4-444-21-4-21-21-21002-12-1-21-2122-1-10000003-300-3300000000000000000000000
χ484444-4-444-21-4-21-21-21002-12-1-21-2122-1-1000000-33003-300000000000000000000000
χ494444-4-4-4-41-241-21-21-24-4-12-12-12-1211-2-2000011-2-2-1-12200000000000000000000000
χ504444-4-4-4-41-241-21-21-2-44-12-12-12-1211-2-20000-1-12211-2-200000000000000000000000
χ514444-4-4-4-4-214-21-21-214-42-12-12-12-1-2-2110000-2-21122-1-100000000000000000000000
χ524444-4-4-4-4-214-21-21-21-442-12-12-12-1-2-211000022-1-1-2-21100000000000000000000000
χ534-4-440000440-4-4-4-444000000000000004-4-440000000000000000000000000000000
χ544-4-440000440-4-4-4-44400000000000000-444-40000000000000000000000000000000
χ5588-8-8008i−8i2-402-4-24-240000002i−4i−2i4i000000000000000000000000000000000000000
χ5688-8-8008i−8i-420-424-24-2000000−4i2i4i−2i000000000000000000000000000000000000000
χ5788-8-800−8i8i2-402-4-24-24000000−2i4i2i−4i000000000000000000000000000000000000000
χ5888-8-800−8i8i-420-424-24-20000004i−2i−4i2i000000000000000000000000000000000000000
χ598-88-88i−8i002-40-242-4-24002i−4i−2i4i0000000000000000000000000000000000000000000
χ608-88-88i−8i00-4204-2-424-200−4i2i4i−2i0000000000000000000000000000000000000000000
χ618-88-8−8i8i002-40-242-4-2400−2i4i2i−4i0000000000000000000000000000000000000000000
χ628-88-8−8i8i00-4204-2-424-2004i−2i−4i2i0000000000000000000000000000000000000000000
χ638-8-8800002-40-24-242-400000000006-60000000000000000000000000000000000000
χ648-8-8800002-40-24-242-40000000000-660000000000000000000000000000000000000
χ658-8-880000-4204-24-2-420000000000006-600000000000000000000000000000000000
χ668-8-880000-4204-24-2-42000000000000-6600000000000000000000000000000000000

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