Finite Group Databasebeta

← Group #11791416

Character table — Group #11791416

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111222244444444444448888888888999912121212121212121818181824242424242424242424242436363636363636363648484848
order122222443346666666666661212121212121212444444444444444422441212121212121212488888888661212
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
χ5111111-1-111-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111-11-11111-1-1-1-1-11111-1-1-1-11-11-1
χ6111111-1-111-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-11-111111-1-1-1-1-1-1-1-1-11111-11-11
χ7111111-1-111-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111-11-1-1-1-1-11111-1-1-1-1-111111-11-1
χ8111111-1-111-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-11-11-1-1-1-11111-11111-1-1-1-1-11-11
χ91111-1-11111-111-1-1111-1-11-1-11111-1-1-1-1-1-1-1-1ii−i−iii−i−i-1-1111-1-11ii−i−iii−i−i1ii−i−iii−i−i1-1-11
χ101111-1-11111-111-1-1111-1-11-1-11111-1-1-1-1-1-1-1-1ii−i−iii−i−i-1-111-111-1ii−i−iii−i−i1−i−iii−i−iii-111-1
χ111111-1-11111-111-1-1111-1-11-1-11111-1-1-1-1-1-1-1-1−i−iii−i−iii-1-1111-1-11−i−iii−i−iii1−i−iii−i−iii1-1-11
χ121111-1-11111-111-1-1111-1-11-1-11111-1-1-1-1-1-1-1-1−i−iii−i−iii-1-111-111-1−i−iii−i−iii1ii−i−iii−i−i-111-1
χ131111-1-1-1-111111-1-1111-1-11-1-1-1-1-1-11111-1-1-1-1ii−i−i−i−iii111111-1-1ii−i−i−i−iii-1ii−i−i−i−iii11-1-1
χ141111-1-1-1-111111-1-1111-1-11-1-1-1-1-1-11111-1-1-1-1ii−i−i−i−iii1111-1-111ii−i−i−i−iii-1−i−iiiii−i−i-1-111
χ151111-1-1-1-111111-1-1111-1-11-1-1-1-1-1-11111-1-1-1-1−i−iiiii−i−i111111-1-1−i−iiiii−i−i-1−i−iiiii−i−i11-1-1
χ161111-1-1-1-111111-1-1111-1-11-1-1-1-1-1-11111-1-1-1-1−i−iiiii−i−i1111-1-111−i−iiiii−i−i-1ii−i−i−i−iii-1-111
χ172222222222222222222222222222222-2-2-2-200000000-2-2-2-2000000000000-2000000000000
χ18222222-2-222-2222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000022-2-20000000000002000000000000
χ192222-2-22222-222-2-2222-2-22-2-22222-2-2-2-222220000000022-2-2000000000000-2000000000000
χ202222-2-2-2-222222-2-2222-2-22-2-2-2-2-2-22222222200000000-2-2-2-20000000000002000000000000
χ212-22-2002i−2i2202-2002-2-200-2002i2i−2i−2i00002i2i−2i−2i1+i−1−i1−i−1+i1−i−1+i1+i−1−i2-20000001+i−1−i1−i−1+i1−i−1+i1+i−1−i0000000000000
χ222-22-2002i−2i2202-2002-2-200-2002i2i−2i−2i00002i2i−2i−2i−1−i1+i−1+i1−i−1+i1−i−1−i1+i2-2000000−1−i1+i−1+i1−i−1+i1−i−1−i1+i0000000000000
χ232-22-2002i−2i2202-2002-2-200-2002i2i−2i−2i0000−2i−2i2i2i1−i−1+i1+i−1−i−1−i1+i−1+i1−i-220000001−i−1+i1+i−1−i−1−i1+i−1+i1−i0000000000000
χ242-22-2002i−2i2202-2002-2-200-2002i2i−2i−2i0000−2i−2i2i2i−1+i1−i−1−i1+i1+i−1−i1−i−1+i-22000000−1+i1−i−1−i1+i1+i−1−i1−i−1+i0000000000000
χ252-22-200−2i2i2202-2002-2-200-200−2i−2i2i2i00002i2i−2i−2i1+i−1−i1−i−1+i−1+i1−i−1−i1+i-220000001+i−1−i1−i−1+i−1+i1−i−1−i1+i0000000000000
χ262-22-200−2i2i2202-2002-2-200-200−2i−2i2i2i00002i2i−2i−2i−1−i1+i−1+i1−i1−i−1+i1+i−1−i-22000000−1−i1+i−1+i1−i1−i−1+i1+i−1−i0000000000000
χ272-22-200−2i2i2202-2002-2-200-200−2i−2i2i2i0000−2i−2i2i2i1−i−1+i1+i−1−i1+i−1−i1−i−1+i2-20000001−i−1+i1+i−1−i1+i−1−i1−i−1+i0000000000000
χ282-22-200−2i2i2202-2002-2-200-200−2i−2i2i2i0000−2i−2i2i2i−1+i1−i−1−i1+i−1−i1+i−1+i1−i2-2000000−1+i1−i−1−i1+i−1−i1+i−1+i1−i0000000000000
χ292-2-222-200220-2222-2-2-2-2-222-2000000002-22-200000000002-2000000000000000002i−2i2i−2i0000
χ302-2-222-200220-2222-2-2-2-2-222-2000000002-22-200000000002-200000000000000000−2i2i−2i2i0000
χ312-2-222-200220-2222-2-2-2-2-222-200000000-22-220000000000-2200000000000002i−2i2i−2i00000000
χ322-2-222-200220-2222-2-2-2-2-222-200000000-22-220000000000-220000000000000−2i2i−2i2i00000000
χ332-2-22-2200220-22-2-2-2-2-2222-22000000002-22-20000000000-2200000000000002-2-2200000000
χ342-2-22-2200220-22-2-2-2-2-2222-22000000002-22-20000000000-220000000000000-222-200000000
χ352-2-22-2200220-22-2-2-2-2-2222-2200000000-22-2200000000002-2000000000000000002-2-220000
χ362-2-22-2200220-22-2-2-2-2-2222-2200000000-22-2200000000002-200000000000000000-222-20000
χ37444444441-241111-21-211-2-2-21-21-211-2-200002222222200000000-1-1-1-1-1-1-1-10000000000000
χ38444444441-241111-21-211-2-2-21-21-211-2-20000-2-2-2-2-2-2-2-200000000111111110000000000000
χ3944444444-214-2-2-2-21-21-2-2111-21-21-2-2110000000000000000222200000000000000000-1-1-1-1
χ4044444444-214-2-2-2-21-21-2-2111-21-21-2-2110000000000000000-2-2-2-2000000000000000001111
χ41444444-4-41-2-41111-21-211-2-2-2-12-12-1-12200002222-2-2-2-200000000-1-1-1-111110000000000000
χ42444444-4-41-2-41111-21-211-2-2-2-12-12-1-1220000-2-2-2-22222000000001111-1-1-1-10000000000000
χ43444444-4-4-21-4-2-2-2-21-21-2-21112-12-122-1-100000000000000002-22-200000000000000000-11-11
χ44444444-4-4-21-4-2-2-2-21-21-2-21112-12-122-1-10000000000000000-22-22000000000000000001-11-1
χ454444-4-4441-2-411-1-1-21-2-1-1-2221-21-2-1-12200002i2i−2i−2i2i2i−2i−2i00000000−i−iii−i−iii0000000000000
χ464444-4-4441-2-411-1-1-21-2-1-1-2221-21-2-1-1220000−2i−2i2i2i−2i−2i2i2i00000000ii−i−iii−i−i0000000000000
χ474444-4-444-21-4-2-2221-21221-1-1-21-2122-1-100000000000000002-2-2200000000000000000-111-1
χ484444-4-444-21-4-2-2221-21221-1-1-21-2122-1-10000000000000000-222-2000000000000000001-1-11
χ494444-4-4-4-41-2411-1-1-21-2-1-1-222-12-1211-2-200002i2i−2i−2i−2i−2i2i2i00000000−i−iiiii−i−i0000000000000
χ504444-4-4-4-41-2411-1-1-21-2-1-1-222-12-1211-2-20000−2i−2i2i2i2i2i−2i−2i00000000ii−i−i−i−iii0000000000000
χ514444-4-4-4-4-214-2-2221-21221-1-12-12-1-2-211000000000000000022-2-200000000000000000-1-111
χ524444-4-4-4-4-214-2-2221-21221-1-12-12-1-2-2110000000000000000-2-2220000000000000000011-1-1
χ5344-4-40000440-4-400-44400-400000000004i−4i−4i4i0000000000000000000000000000000000000
χ5444-4-40000440-4-400-44400-40000000000−4i4i4i−4i0000000000000000000000000000000000000
χ554-44-4004i−4i1-201-13-3-2-123-3200i−2i−i2i3i−3i0000002-22-2−2i2i2i−2i00000000-11-11i−i−ii0000000000000
χ564-44-4004i−4i1-201-13-3-2-123-3200i−2i−i2i3i−3i000000-22-222i−2i−2i2i000000001-11-1−iii−i0000000000000
χ574-44-4004i−4i1-201-1-33-2-12-33200i−2i−i2i−3i3i0000002i−2i−2i2i2-22-200000000−iii−i-11-110000000000000
χ584-44-4004i−4i1-201-1-33-2-12-33200i−2i−i2i−3i3i000000−2i2i2i−2i-22-2200000000i−i−ii1-11-10000000000000
χ594-44-400−4i4i1-201-13-3-2-123-3200−i2ii−2i−3i3i0000002-22-22i−2i−2i2i00000000-11-11−iii−i0000000000000
χ604-44-400−4i4i1-201-13-3-2-123-3200−i2ii−2i−3i3i000000-22-22−2i2i2i−2i000000001-11-1i−i−ii0000000000000
χ614-44-400−4i4i1-201-1-33-2-12-33200−i2ii−2i3i−3i0000002i−2i−2i2i-22-2200000000−iii−i1-11-10000000000000
χ624-44-400−4i4i1-201-1-33-2-12-33200−i2ii−2i3i−3i000000−2i2i2i−2i2-22-200000000i−i−ii-11-110000000000000
χ6388-8-800002-40-2-26-642-4-664000000000000000000000000000000000000000000000000000
χ6488-8-800002-40-2-2-6642-46-64000000000000000000000000000000000000000000000000000
χ6588-8-80000-4204400-2-4200-2000000006-600000000000000000000000000000000000000000
χ6688-8-80000-4204400-2-4200-200000000-6600000000000000000000000000000000000000000
χ678-88-8008i−8i-420-440024-200-200−4i2i4i−2i000000000000000000000000000000000000000000000
χ688-88-800−8i8i-420-440024-200-2004i−2i−4i2i000000000000000000000000000000000000000000000
χ698-8-888-8002-40-22224-24-2-2-4-440000000000000000000000000000000000000000000000000
χ708-8-888-800-4204-4-4-4-24-24422-20000000000000000000000000000000000000000000000000
χ718-8-88-88002-40-22-2-24-2422-44-40000000000000000000000000000000000000000000000000
χ728-8-88-8800-4204-444-24-2-4-42-220000000000000000000000000000000000000000000000000

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