Finite Group Databasebeta

← Group #11775713

Character table — Group #11775713

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111222244444444488888888888888999916161616161616161818181836363636363636363636363636363636367272
order1222224433466666644666612121212121212124444121212121212121244444888888888888888824
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
χ91111-1-1-1-11111111111-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11ii−i−iii−i−iii−i−iii−i−i-11
χ101111-1-1-1-11111111111-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11−i−iii−i−iii−i−iii−i−iii-11
χ111111-1-1-1-11111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-111-1-1-1-111-1-1111-1
χ121111-1-1-1-11111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-11111-1-111-1-11-1
χ131111-1-1-1-1111111111-11-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11ii−i−i−i−iiiii−i−i−i−iii1-1
χ141111-1-1-1-1111111111-11-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11−i−iiiii−i−i−i−iiiii−i−i1-1
χ151111-1-1-1-1111111111-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-1-1-111-1-11111-1-1-11
χ161111-1-1-1-1111111111-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-11111-1-111-1-1-1-111-11
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
χ192222-2-22222-222222200-2-2-2-2-2-2-2-22222222200000000-2-222-2000000000000000000
χ202222-2-22222-222222200-2-2-2-2-2-2-2-22222-2-2-2-20000000022-2-22000000000000000000
χ212-22-2002i−2i220-2-222-2-200000000002i2i−2i−2i22-2-200000000002i−2i01+i−1−i1−i−1+i00001+i−1−i1−i−1+i000000
χ222-22-2002i−2i220-2-222-2-200000000002i2i−2i−2i22-2-200000000002i−2i0−1−i1+i−1+i1−i0000−1−i1+i−1+i1−i000000
χ232-22-2002i−2i220-2-222-2-200000000002i2i−2i−2i-2-2220000000000−2i2i01−i−1+i−1−i1+i0000−1+i1−i1+i−1−i000000
χ242-22-2002i−2i220-2-222-2-200000000002i2i−2i−2i-2-2220000000000−2i2i0−1+i1−i1+i−1−i00001−i−1+i−1−i1+i000000
χ252-22-200−2i2i220-2-222-2-20000000000−2i−2i2i2i22-2-20000000000−2i2i01−i−1+i1+i−1−i00001−i−1+i1+i−1−i000000
χ262-22-200−2i2i220-2-222-2-20000000000−2i−2i2i2i22-2-20000000000−2i2i0−1+i1−i−1−i1+i0000−1+i1−i−1−i1+i000000
χ272-22-200−2i2i220-2-222-2-20000000000−2i−2i2i2i-2-22200000000002i−2i01+i−1−i−1+i1−i0000−1−i1+i1−i−1+i000000
χ282-22-200−2i2i220-2-222-2-20000000000−2i−2i2i2i-2-22200000000002i−2i0−1−i1+i1−i−1+i00001+i−1−i−1+i1−i000000
χ292-2-222-20022022-2-2-2-20022-2-2000000002i−2i2i−2i000000002i−2i00000001−i−1+i1−i−1+i00001+i−1−i1+i−1−i00
χ302-2-222-20022022-2-2-2-20022-2-2000000002i−2i2i−2i000000002i−2i0000000−1+i1−i−1+i1−i0000−1−i1+i−1−i1+i00
χ312-2-222-20022022-2-2-2-20022-2-200000000−2i2i−2i2i00000000−2i2i00000001+i−1−i1+i−1−i00001−i−1+i1−i−1+i00
χ322-2-222-20022022-2-2-2-20022-2-200000000−2i2i−2i2i00000000−2i2i0000000−1−i1+i−1−i1+i0000−1+i1−i−1+i1−i00
χ332-2-22-220022022-2-2-2-200-2-222000000002i−2i2i−2i00000000−2i2i00000001+i−1−i−1−i1+i0000−1+i1−i1−i−1+i00
χ342-2-22-220022022-2-2-2-200-2-222000000002i−2i2i−2i00000000−2i2i0000000−1−i1+i1+i−1−i00001−i−1+i−1+i1−i00
χ352-2-22-220022022-2-2-2-200-2-22200000000−2i2i−2i2i000000002i−2i00000001−i−1+i−1+i1−i0000−1−i1+i1+i−1−i00
χ362-2-22-220022022-2-2-2-200-2-22200000000−2i2i−2i2i000000002i−2i0000000−1+i1−i1−i−1+i00001+i−1−i−1−i1+i00
χ37444444441-241-21-21-2441-21-211-2-21-21-2000011-2-211-2-200000000000000000000000
χ38444444441-241-21-21-2-4-41-21-211-2-21-21-20000-1-122-1-12200000000000000000000000
χ3944444444-214-21-21-2144-21-21-2-211-21-210000-2-211-2-21100000000000000000000000
χ4044444444-214-21-21-21-4-4-21-21-2-211-21-21000022-1-122-1-100000000000000000000000
χ41444444-4-41-2-41-21-21-2001-21-2-1-122-12-1200003-3003-30000000000000000000000000
χ42444444-4-41-2-41-21-21-2001-21-2-1-122-12-120000-3300-330000000000000000000000000
χ43444444-4-4-21-4-21-21-2100-21-2122-1-12-12-10000003-3003-300000000000000000000000
χ44444444-4-4-21-4-21-21-2100-21-2122-1-12-12-1000000-3300-3300000000000000000000000
χ454444-4-4441-2-41-21-21-200-12-12-1-1221-21-200003-300-330000000000000000000000000
χ464444-4-4441-2-41-21-21-200-12-12-1-1221-21-20000-33003-30000000000000000000000000
χ474444-4-444-21-4-21-21-21002-12-122-1-1-21-210000003-300-3300000000000000000000000
χ484444-4-444-21-4-21-21-21002-12-122-1-1-21-21000000-33003-300000000000000000000000
χ494444-4-4-4-41-241-21-21-24-4-12-1211-2-2-12-120000-1-12211-2-200000000000000000000000
χ504444-4-4-4-41-241-21-21-2-44-12-1211-2-2-12-12000011-2-2-1-12200000000000000000000000
χ514444-4-4-4-4-214-21-21-214-42-12-1-2-2112-12-1000022-1-1-2-21100000000000000000000000
χ524444-4-4-4-4-214-21-21-21-442-12-1-2-2112-12-10000-2-21122-1-100000000000000000000000
χ5344-4-40000440-4-4-4-444000000000000004i−4i−4i4i0000000000000000000000000000000
χ5444-4-40000440-4-4-4-44400000000000000−4i4i4i−4i0000000000000000000000000000000
χ5588-8-800002-40-24-242-40000006-600000000000000000000000000000000000000000
χ5688-8-800002-40-24-242-4000000-6600000000000000000000000000000000000000000
χ5788-8-80000-4204-24-2-42000000006-6000000000000000000000000000000000000000
χ5888-8-80000-4204-24-2-4200000000-66000000000000000000000000000000000000000
χ598-88-8008i−8i2-40-242-4-2400000000002i−4i−2i4i00000000000000000000000000000000000
χ608-88-8008i−8i-4204-2-424-20000000000−4i2i4i−2i00000000000000000000000000000000000
χ618-88-800−8i8i2-40-242-4-240000000000−2i4i2i−4i00000000000000000000000000000000000
χ628-88-800−8i8i-4204-2-424-200000000004i−2i−4i2i00000000000000000000000000000000000
χ638-8-888-8002-402-4-24-24002-4-240000000000000000000000000000000000000000000
χ648-8-888-800-420-424-24-200-424-20000000000000000000000000000000000000000000
χ658-8-88-88002-402-4-24-2400-242-40000000000000000000000000000000000000000000
χ668-8-88-8800-420-424-24-2004-2-420000000000000000000000000000000000000000000

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