Finite Group Databasebeta

← Group #11771205

Character table — Group #11771205

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122224444444444444444444448888888888888888888888889999181818183636363636363636363636363672727272
order122222443344444666666666666661212121212121212121212121212121212121212121212124444444444444888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−i
χ411111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii
χ511111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-111111111-1-1-1-1
χ611111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−iii
χ811111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiii−i−i
χ91111-1-1-1-1111ii−i−i1111-1-1-1-111-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-11ii−i−iii−i−iii−i−i1-11-1
χ101111-1-1-1-1111ii−i−i1111-1-1-1-111-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-11ii−i−i−i−iii−i−iii-11-11
χ111111-1-1-1-1111ii−i−i1111-1-1-1-111-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111-1−i−iii11-1-1-1-111−iii−i
χ121111-1-1-1-1111ii−i−i1111-1-1-1-111-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111-1−i−iii-1-11111-1-1i−i−ii
χ131111-1-1-1-1111−i−iii1111-1-1-1-111-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-11−i−iiiii−i−iii−i−i-11-11
χ141111-1-1-1-1111−i−iii1111-1-1-1-111-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-11−i−iii−i−iii−i−iii1-11-1
χ151111-1-1-1-1111−i−iii1111-1-1-1-111-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111-1ii−i−i11-1-1-1-111i−i−ii
χ161111-1-1-1-1111−i−iii1111-1-1-1-111-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111-1ii−i−i-1-11111-1-1−iii−i
χ17222222-2-222-2000022222222222222-2-2-2-2-2-2-2-20000000000000000222222-2-2-20000000000000000
χ18222222-2-222-2000022222222222222-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-22220000000000000000
χ192222-2-22222-200002222-2-2-2-222-2-2-2-2-2-2-2-2222200000000000000002222-2-222-20000000000000000
χ202222-2-22222-200002222-2-2-2-222-2-2-2-2-2-2-2-222220000000000000000-2-2-2-222-2-220000000000000000
χ212-22-2002i−2i2201+i−1−i1−i−1+i22-2-20000-2-2000000002i2i−2i−2i1+i1+i1+i1+i−1−i−1−i−1−i−1−i1−i1−i1−i1−i−1+i−1+i−1+i−1+i2i−2i2i−2i002-201−i−1+i1+i−1−i000000000000
χ222-22-2002i−2i2201+i−1−i1−i−1+i22-2-20000-2-2000000002i2i−2i−2i1+i1+i1+i1+i−1−i−1−i−1−i−1−i1−i1−i1−i1−i−1+i−1+i−1+i−1+i−2i2i−2i2i00-220−1+i1−i−1−i1+i000000000000
χ232-22-2002i−2i220−1−i1+i−1+i1−i22-2-20000-2-2000000002i2i−2i−2i−1−i−1−i−1−i−1−i1+i1+i1+i1+i−1+i−1+i−1+i−1+i1−i1−i1−i1−i2i−2i2i−2i002-20−1+i1−i−1−i1+i000000000000
χ242-22-2002i−2i220−1−i1+i−1+i1−i22-2-20000-2-2000000002i2i−2i−2i−1−i−1−i−1−i−1−i1+i1+i1+i1+i−1+i−1+i−1+i−1+i1−i1−i1−i1−i−2i2i−2i2i00-2201−i−1+i1+i−1−i000000000000
χ252-22-200−2i2i2201−i−1+i1+i−1−i22-2-20000-2-200000000−2i−2i2i2i1−i1−i1−i1−i−1+i−1+i−1+i−1+i1+i1+i1+i1+i−1−i−1−i−1−i−1−i2i−2i2i−2i00-220−1−i1+i−1+i1−i000000000000
χ262-22-200−2i2i2201−i−1+i1+i−1−i22-2-20000-2-200000000−2i−2i2i2i1−i1−i1−i1−i−1+i−1+i−1+i−1+i1+i1+i1+i1+i−1−i−1−i−1−i−1−i−2i2i−2i2i002-201+i−1−i1−i−1+i000000000000
χ272-22-200−2i2i220−1+i1−i−1−i1+i22-2-20000-2-200000000−2i−2i2i2i−1+i−1+i−1+i−1+i1−i1−i1−i1−i−1−i−1−i−1−i−1−i1+i1+i1+i1+i2i−2i2i−2i00-2201+i−1−i1−i−1+i000000000000
χ282-22-200−2i2i220−1+i1−i−1−i1+i22-2-20000-2-200000000−2i−2i2i2i−1+i−1+i−1+i−1+i1−i1−i1−i1−i−1−i−1−i−1−i−1−i1+i1+i1+i1+i−2i2i−2i2i002-20−1−i1+i−1+i1−i000000000000
χ292-2-222-2002200000-2-2222222-2-2-2-2-2-200000000000000000000000022-2-22-200000002−22−22−22−20000
χ302-2-222-2002200000-2-2222222-2-2-2-2-2-200000000000000000000000022-2-22-20000000−22−22−22−220000
χ312-2-222-2002200000-2-2222222-2-2-2-2-2-2000000000000000000000000-2-222-220000000i2−i2i2−i2−i2i2−i2i20000
χ322-2-222-2002200000-2-2222222-2-2-2-2-2-2000000000000000000000000-2-222-220000000−i2i2−i2i2i2−i2i2−i20000
χ332-2-22-22002200000-2-222-2-2-2-2-2-2222200000000000000000000000022-2-2-220000000i2−i2−i2i2i2−i2−i2i20000
χ342-2-22-22002200000-2-222-2-2-2-2-2-2222200000000000000000000000022-2-2-220000000−i2i2i2−i2−i2i2i2−i20000
χ352-2-22-22002200000-2-222-2-2-2-2-2-22222000000000000000000000000-2-2222-200000002−2−22−222−20000
χ362-2-22-22002200000-2-222-2-2-2-2-2-22222000000000000000000000000-2-2222-20000000−222−22−2−220000
χ37444444441-2444441-21-211-2-21-211-2-211-2-21-21-211-2-211-2-211-2-211-2-20000000000000000000000000
χ38444444441-24-4-4-4-41-21-211-2-21-211-2-211-2-21-21-2-1-122-1-122-1-122-1-1220000000000000000000000000
χ3944444444-2144444-21-21-2-211-21-2-211-2-211-21-21-2-211-2-211-2-211-2-2110000000000000000000000000
χ4044444444-214-4-4-4-4-21-21-2-211-21-2-211-2-211-21-2122-1-122-1-122-1-122-1-10000000000000000000000000
χ41444444-4-41-2-400001-21-211-2-21-211-2-2-1-122-12-123-3003-3003-3003-3000000000000000000000000000
χ42444444-4-41-2-400001-21-211-2-21-211-2-2-1-122-12-12-3300-3300-3300-33000000000000000000000000000
χ43444444-4-4-21-40000-21-21-2-211-21-2-21122-1-12-12-1003-3003-3003-3003-30000000000000000000000000
χ44444444-4-4-21-40000-21-21-2-211-21-2-21122-1-12-12-100-3300-3300-3300-330000000000000000000000000
χ454444-4-4441-2-400001-21-2-1-1221-2-1-122-1-1221-21-23i−3i003i−3i00−3i3i00−3i3i000000000000000000000000000
χ464444-4-4441-2-400001-21-2-1-1221-2-1-122-1-1221-21-2−3i3i00−3i3i003i−3i003i−3i000000000000000000000000000
χ474444-4-444-21-40000-21-2122-1-1-2122-1-122-1-1-21-21003i−3i003i−3i00−3i3i00−3i3i0000000000000000000000000
χ484444-4-444-21-40000-21-2122-1-1-2122-1-122-1-1-21-2100−3i3i00−3i3i003i−3i003i−3i0000000000000000000000000
χ494444-4-4-4-41-244i4i−4i−4i1-21-2-1-1221-2-1-12211-2-2-12-12ii−2i−2iii−2i−2i−i−i2i2i−i−i2i2i0000000000000000000000000
χ504444-4-4-4-41-24−4i−4i4i4i1-21-2-1-1221-2-1-12211-2-2-12-12−i−i2i2i−i−i2i2iii−2i−2iii−2i−2i0000000000000000000000000
χ514444-4-4-4-4-2144i4i−4i−4i-21-2122-1-1-2122-1-1-2-2112-12-1−2i−2iii−2i−2iii2i2i−i−i2i2i−i−i0000000000000000000000000
χ524444-4-4-4-4-214−4i−4i4i4i-21-2122-1-1-2122-1-1-2-2112-12-12i2i−i−i2i2i−i−i−2i−2iii−2i−2iii0000000000000000000000000
χ5344-4-400004400000-4-4-4-400004400000000000000000000000000004i−4i−4i4i000000000000000000000
χ5444-4-400004400000-4-4-4-40000440000000000000000000000000000−4i4i4i−4i000000000000000000000
χ554-44-4004i−4i1-202+2i−2−2i2−2i−2+2i1-2-123-300-123-3003i−3i00i−2i−i2i2−i−1+2i−1−i−1−i−2+i1−2i1+i1+i2+i−1−2i−1+i−1+i−2−i1+2i1−i1−i0000000000000000000000000
χ564-44-4004i−4i1-202+2i−2−2i2−2i−2+2i1-2-12-3300-12-3300−3i3i00i−2i−i2i−1+2i2−i−1−i−1−i1−2i−2+i1+i1+i−1−2i2+i−1+i−1+i1+2i−2−i1−i1−i0000000000000000000000000
χ574-44-4004i−4i1-20−2−2i2+2i−2+2i2−2i1-2-123-300-123-3003i−3i00i−2i−i2i−2+i1−2i1+i1+i2−i−1+2i−1−i−1−i−2−i1+2i1−i1−i2+i−1−2i−1+i−1+i0000000000000000000000000
χ584-44-4004i−4i1-20−2−2i2+2i−2+2i2−2i1-2-12-3300-12-3300−3i3i00i−2i−i2i1−2i−2+i1+i1+i−1+2i2−i−1−i−1−i1+2i−2−i1−i1−i−1−2i2+i−1+i−1+i0000000000000000000000000
χ594-44-4004i−4i-2102+2i−2−2i2−2i−2+2i-212-1003-32-1003-3003i−3i−2ii2i−i−1−i−1−i2−i−1+2i1+i1+i−2+i1−2i−1+i−1+i2+i−1−2i1−i1−i−2−i1+2i0000000000000000000000000
χ604-44-4004i−4i-2102+2i−2−2i2−2i−2+2i-212-100-332-100-3300−3i3i−2ii2i−i−1−i−1−i−1+2i2−i1+i1+i1−2i−2+i−1+i−1+i−1−2i2+i1−i1−i1+2i−2−i0000000000000000000000000
χ614-44-4004i−4i-210−2−2i2+2i−2+2i2−2i-212-1003-32-1003-3003i−3i−2ii2i−i1+i1+i−2+i1−2i−1−i−1−i2−i−1+2i1−i1−i−2−i1+2i−1+i−1+i2+i−1−2i0000000000000000000000000
χ624-44-4004i−4i-210−2−2i2+2i−2+2i2−2i-212-100-332-100-3300−3i3i−2ii2i−i1+i1+i1−2i−2+i−1−i−1−i−1+2i2−i1−i1−i1+2i−2−i−1+i−1+i−1−2i2+i0000000000000000000000000
χ634-44-400−4i4i1-202−2i−2+2i2+2i−2−2i1-2-123-300-123-300−3i3i00−i2ii−2i2+i−1−2i−1+i−1+i−2−i1+2i1−i1−i2−i−1+2i−1−i−1−i−2+i1−2i1+i1+i0000000000000000000000000
χ644-44-400−4i4i1-202−2i−2+2i2+2i−2−2i1-2-12-3300-12-33003i−3i00−i2ii−2i−1−2i2+i−1+i−1+i1+2i−2−i1−i1−i−1+2i2−i−1−i−1−i1−2i−2+i1+i1+i0000000000000000000000000
χ654-44-400−4i4i1-20−2+2i2−2i−2−2i2+2i1-2-123-300-123-300−3i3i00−i2ii−2i−2−i1+2i1−i1−i2+i−1−2i−1+i−1+i−2+i1−2i1+i1+i2−i−1+2i−1−i−1−i0000000000000000000000000
χ664-44-400−4i4i1-20−2+2i2−2i−2−2i2+2i1-2-12-3300-12-33003i−3i00−i2ii−2i1+2i−2−i1−i1−i−1−2i2+i−1+i−1+i1−2i−2+i1+i1+i−1+2i2−i−1−i−1−i0000000000000000000000000
χ674-44-400−4i4i-2102−2i−2+2i2+2i−2−2i-212-1003-32-1003-300−3i3i2i−i−2ii−1+i−1+i2+i−1−2i1−i1−i−2−i1+2i−1−i−1−i2−i−1+2i1+i1+i−2+i1−2i0000000000000000000000000
χ684-44-400−4i4i-2102−2i−2+2i2+2i−2−2i-212-100-332-100-33003i−3i2i−i−2ii−1+i−1+i−1−2i2+i1−i1−i1+2i−2−i−1−i−1−i−1+2i2−i1+i1+i1−2i−2+i0000000000000000000000000
χ694-44-400−4i4i-210−2+2i2−2i−2−2i2+2i-212-1003-32-1003-300−3i3i2i−i−2ii1−i1−i−2−i1+2i−1+i−1+i2+i−1−2i1+i1+i−2+i1−2i−1−i−1−i2−i−1+2i0000000000000000000000000
χ704-44-400−4i4i-210−2+2i2−2i−2−2i2+2i-212-100-332-100-33003i−3i2i−i−2ii1−i1−i1+2i−2−i−1+i−1+i−1−2i2+i1+i1+i1−2i−2+i−1−i−1−i−1+2i2−i0000000000000000000000000
χ7188-8-800002-400000-24-246-6002-4-66000000000000000000000000000000000000000000000000000
χ7288-8-800002-400000-24-24-66002-46-6000000000000000000000000000000000000000000000000000
χ7388-8-80000-42000004-24-2006-6-4200-660000000000000000000000000000000000000000000000000
χ7488-8-80000-42000004-24-200-66-42006-60000000000000000000000000000000000000000000000000
χ758-8-888-8002-400000-242-422-4-4-24-2-2440000000000000000000000000000000000000000000000000
χ768-8-888-800-42000004-2-42-4-4224-244-2-20000000000000000000000000000000000000000000000000
χ778-8-88-88002-400000-242-4-2-244-2422-4-40000000000000000000000000000000000000000000000000
χ788-8-88-8800-42000004-2-4244-2-24-2-4-4220000000000000000000000000000000000000000000000000

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