Finite Group Databasebeta

← Group #11775694

Character table — Group #11775694

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111222244444444444448888888888999912121212121212121818181824242424242424242424242436363636363636363648484848
order12224444334666666121212121212121212121212121222228888888844444444242424242424242448888888812121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1
χ5111111-1-111-1111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1iiii−i−i−i−i11-1-111-1-1iiii−i−i−i−i1iiii−i−i−i−i11-1-1
χ6111111-1-111-1111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1iiii−i−i−i−i11-1-1-1-111iiii−i−i−i−i1−i−i−i−iiiii-1-111
χ7111111-1-111-1111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1−i−i−i−iiiii11-1-111-1-1−i−i−i−iiiii1−i−i−i−iiiii11-1-1
χ8111111-1-111-1111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1−i−i−i−iiiii11-1-1-1-111−i−i−i−iiiii1iiii−i−i−i−i-1-111
χ91111-1-11111-11111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1111-11-111-1-111-1-1111-1-111-1-11-11-1
χ101111-1-11111-11111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-111-11-1111-1-111-1-11-1-111-1-111-11-11
χ111111-1-11111-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-1111-11-1-1-111-1-1111-1-111-1-1111-11-1
χ121111-1-11111-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-111-11-11-1-111-1-111111-1-111-1-1-11-11
χ131111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-11111ii−i−i−i−iii-1-1-1-11-1-11ii−i−i−i−iii1ii−i−i−i−iii1-1-11
χ141111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-11111ii−i−i−i−iii-1-1-1-1-111-1ii−i−i−i−iii1−i−iiiii−i−i-111-1
χ151111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-11111−i−iiiii−i−i-1-1-1-11-1-11−i−iiiii−i−i1−i−iiiii−i−i1-1-11
χ161111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-11111−i−iiiii−i−i-1-1-1-1-111-1−i−iiiii−i−i1ii−i−i−i−iii-111-1
χ172222222222222222222222222222222-2-2-2-200000000-2-2-2-2000000000000-2000000000000
χ18222222-2-222-2222222-2-2-2-222-2-2-2-222-2-2222200000000-2-222000000000000-2000000000000
χ192222-2-22222-22222222222-2-2-2-2-2-2-2-22222220000000022-2-2000000000000-2000000000000
χ202222-2-2-2-2222222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-2000000002222000000000000-2000000000000
χ212-22-2002i−2i2202-2-2-22-22i2i−2i−2i000000002i−2i22-2-2000000002i−2i0000000000000001+i−1−i1−i−1+i1−i−1+i1+i−1−i0000
χ222-22-2002i−2i2202-2-2-22-22i2i−2i−2i000000002i−2i22-2-2000000002i−2i000000000000000−1−i1+i−1+i1−i−1+i1−i−1−i1+i0000
χ232-22-2002i−2i2202-2-2-22-22i2i−2i−2i000000002i−2i-2-22200000000−2i2i0000000000000001+i−1−i−1+i1−i1−i−1+i−1−i1+i0000
χ242-22-2002i−2i2202-2-2-22-22i2i−2i−2i000000002i−2i-2-22200000000−2i2i000000000000000−1−i1+i1−i−1+i−1+i1−i1+i−1−i0000
χ252-22-200−2i2i2202-2-2-22-2−2i−2i2i2i00000000−2i2i22-2-200000000−2i2i0000000000000001−i−1+i1+i−1−i1+i−1−i1−i−1+i0000
χ262-22-200−2i2i2202-2-2-22-2−2i−2i2i2i00000000−2i2i22-2-200000000−2i2i000000000000000−1+i1−i−1−i1+i−1−i1+i−1+i1−i0000
χ272-22-200−2i2i2202-2-2-22-2−2i−2i2i2i00000000−2i2i-2-222000000002i−2i0000000000000001−i−1+i−1−i1+i1+i−1−i−1+i1−i0000
χ282-22-200−2i2i2202-2-2-22-2−2i−2i2i2i00000000−2i2i-2-222000000002i−2i000000000000000−1+i1−i1+i−1−i−1−i1+i1−i−1+i0000
χ292-2-222i−2i00220-22-2-2-2200002i−2i00002i−2i002-22-21+i−1−i1−i−1+i1−i−1+i1+i−1−i002i−2i00001+i−1−i1−i−1+i1−i−1+i1+i−1−i0000000000000
χ302-2-222i−2i00220-22-2-2-2200002i−2i00002i−2i002-22-2−1−i1+i−1+i1−i−1+i1−i−1−i1+i002i−2i0000−1−i1+i−1+i1−i−1+i1−i−1−i1+i0000000000000
χ312-2-222i−2i00220-22-2-2-2200002i−2i00002i−2i00-22-221−i−1+i−1−i1+i1+i−1−i−1+i1−i00−2i2i00001−i−1+i−1−i1+i1+i−1−i−1+i1−i0000000000000
χ322-2-222i−2i00220-22-2-2-2200002i−2i00002i−2i00-22-22−1+i1−i1+i−1−i−1−i1+i1−i−1+i00−2i2i0000−1+i1−i1+i−1−i−1−i1+i1−i−1+i0000000000000
χ332-2-22−2i2i00220-22-2-2-220000−2i2i0000−2i2i002-22-21−i−1+i1+i−1−i1+i−1−i1−i−1+i00−2i2i00001−i−1+i1+i−1−i1+i−1−i1−i−1+i0000000000000
χ342-2-22−2i2i00220-22-2-2-220000−2i2i0000−2i2i002-22-2−1+i1−i−1−i1+i−1−i1+i−1+i1−i00−2i2i0000−1+i1−i−1−i1+i−1−i1+i−1+i1−i0000000000000
χ352-2-22−2i2i00220-22-2-2-220000−2i2i0000−2i2i00-22-221+i−1−i−1+i1−i1−i−1+i−1−i1+i002i−2i00001+i−1−i−1+i1−i1−i−1+i−1−i1+i0000000000000
χ362-2-22−2i2i00220-22-2-2-220000−2i2i0000−2i2i00-22-22−1−i1+i1−i−1+i−1+i1−i1+i−1−i002i−2i0000−1−i1+i1−i−1+i−1+i1−i1+i−1−i0000000000000
χ37444444441-24111-2-2-211111111-2-2-2-2-2-200002222222200000000-1-1-1-1-1-1-1-10000000000000
χ38444444441-24111-2-2-211111111-2-2-2-2-2-20000-2-2-2-2-2-2-2-200000000111111110000000000000
χ3944444444-214-2-2-2111-2-2-2-2-2-2-2-21111110000000000000000222200000000000000000-1-1-1-1
χ4044444444-214-2-2-2111-2-2-2-2-2-2-2-21111110000000000000000-2-2-2-2000000000000000001111
χ41444444-4-41-2-4111-2-2-2-1-1-1-111-1-122-2-22200002i2i2i2i−2i−2i−2i−2i00000000−i−i−i−iiiii0000000000000
χ42444444-4-41-2-4111-2-2-2-1-1-1-111-1-122-2-2220000−2i−2i−2i−2i2i2i2i2i00000000iiii−i−i−i−i0000000000000
χ43444444-4-4-21-4-2-2-21112222-2-222-1-111-1-1000000000000000022-2-200000000000000000-1-111
χ44444444-4-4-21-4-2-2-21112222-2-222-1-111-1-10000000000000000-2-2220000000000000000011-1-1
χ454444-4-4441-2-4111-2-2-21111-1-1-1-12222-2-2000022-2-222-2-200000000-1-111-1-1110000000000000
χ464444-4-4441-2-4111-2-2-21111-1-1-1-12222-2-20000-2-222-2-2220000000011-1-111-1-10000000000000
χ474444-4-444-21-4-2-2-2111-2-2-2-22222-1-1-1-11100000000000000002-22-200000000000000000-11-11
χ484444-4-444-21-4-2-2-2111-2-2-2-22222-1-1-1-1110000000000000000-22-22000000000000000001-11-1
χ494444-4-4-4-41-24111-2-2-2-1-1-1-1-1-111-2-2222200002i2i−2i−2i−2i−2i2i2i00000000−i−iiiii−i−i0000000000000
χ504444-4-4-4-41-24111-2-2-2-1-1-1-1-1-111-2-222220000−2i−2i2i2i2i2i−2i−2i00000000ii−i−i−i−iii0000000000000
χ514444-4-4-4-4-214-2-2-2111222222-2-211-1-1-1-100000000000000002-2-2200000000000000000-111-1
χ524444-4-4-4-4-214-2-2-2111222222-2-211-1-1-1-10000000000000000-222-2000000000000000001-1-11
χ5344-4-40000440-4-444-4-4000000000000004-4-440000000000000000000000000000000000000
χ5444-4-40000440-4-444-4-400000000000000-444-40000000000000000000000000000000000000
χ554-4-444i−4i001-20-11-122-23-33-3i−i3i−3i00−2i2i0000002-2−2i2i2-22i−2i00000000-11i−i-11−ii0000000000000
χ564-4-444i−4i001-20-11-122-23-33-3i−i3i−3i00−2i2i000000-222i−2i-22−2i2i000000001-1−ii1-1i−i0000000000000
χ574-4-444i−4i001-20-11-122-2-33-33i−i−3i3i00−2i2i0000002i−2i2-2−2i2i2-200000000−ii-11i−i-110000000000000
χ584-4-444i−4i001-20-11-122-2-33-33i−i−3i3i00−2i2i000000−2i2i-222i−2i-2200000000i−i1-1−ii1-10000000000000
χ594-4-44−4i4i001-20-11-122-23-33-3−ii−3i3i002i−2i0000002-22i−2i2-2−2i2i00000000-11−ii-11i−i0000000000000
χ604-4-44−4i4i001-20-11-122-23-33-3−ii−3i3i002i−2i000000-22−2i2i-222i−2i000000001-1i−i1-1−ii0000000000000
χ614-4-44−4i4i001-20-11-122-2-33-33−ii3i−3i002i−2i0000002i−2i-22−2i2i-2200000000−ii1-1i−i1-10000000000000
χ624-4-44−4i4i001-20-11-122-2-33-33−ii3i−3i002i−2i000000−2i2i2-22i−2i2-200000000i−i-11−ii-110000000000000
χ6388-8-800002-40-2-22-4446i−6i−6i6i000000000000000000000000000000000000000000000000000
χ6488-8-800002-40-2-22-444−6i6i6i−6i000000000000000000000000000000000000000000000000000
χ6588-8-80000-42044-42-2-2000000006-6000000000000000000000000000000000000000000000
χ6688-8-80000-42044-42-2-200000000-66000000000000000000000000000000000000000000000
χ678-88-8008i−8i2-402-2-24-442i2i−2i−2i00000000−4i4i00000000000000000000000000000000000000000
χ688-88-8008i−8i-420-444-22-2−4i−4i4i4i000000002i−2i00000000000000000000000000000000000000000
χ698-88-800−8i8i2-402-2-24-44−2i−2i2i2i000000004i−4i00000000000000000000000000000000000000000
χ708-88-800−8i8i-420-444-22-24i4i−4i−4i00000000−2i2i00000000000000000000000000000000000000000
χ718-8-888i−8i00-4204-44-2-220000−4i4i00002i−2i0000000000000000000000000000000000000000000
χ728-8-88−8i8i00-4204-44-2-2200004i−4i0000−2i2i0000000000000000000000000000000000000000000

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