Finite Group Databasebeta

← Group #11784796

Character table — Group #11784796

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122224444444444444444444448888888888888888888888889999181818183636363636363636363636363672727272
order12224444222334466666612121212121212126666666666661212121212121212121212124444222222444444444448888
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
χ5111111111-1-111-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11-1-111111111-1-1-1-1
χ6111111111-1-111-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11-1-1-1-1-1-1-1-1-1-11111
χ7111111111-1-111-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111iiii−i−i−i−i−i−iii
χ8111111111-1-111-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111−i−i−i−iiiiiii−i−i
χ9111111-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-11111-1-111-1-11-11-1
χ10111111-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-111-1-111-1-111-11-11
χ11111111-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-1ii−i−i−i−iiii−i−ii
χ12111111-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-1−i−iiiii−i−i−iii−i
χ13111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-111-1-111-1-1-11-11
χ14111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-111-1-1111-11-1
χ15111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1111ii−i−i−i−iii−iii−i
χ16111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1111−i−iiiii−i−ii−i−ii
χ172222-2-222-200220022222222222222-2-2-2-200000000-2-2-2-200000000222222-2-200-200000000000000
χ182222-2-222-200220022222222222222-2-2-2-200000000-2-2-2-200000000-2-2-2-2-2-22200200000000000000
χ192222-2-2-2-22002200222222-2-2-2-2-2-2-2-2222200000000-2-2-2-2000000002222-2-2-2-200200000000000000
χ202222-2-2-2-22002200222222-2-2-2-2-2-2-2-2222200000000-2-2-2-200000000-2-2-2-2222200-200000000000000
χ2122-2-2002i−2i000220022-2-2-2-22i2i2i2i−2i−2i−2i−2i0000000000000000000000002i2i−2i−2i2-200000001+i−1−i1−i−1+i1−i−1+i1+i−1−i0000
χ2222-2-2002i−2i000220022-2-2-2-22i2i2i2i−2i−2i−2i−2i0000000000000000000000002i2i−2i−2i2-20000000−1−i1+i−1+i1−i−1+i1−i−1−i1+i0000
χ2322-2-2002i−2i000220022-2-2-2-22i2i2i2i−2i−2i−2i−2i000000000000000000000000−2i−2i2i2i-2200000001−i−1+i−1−i1+i1+i−1−i−1+i1−i0000
χ2422-2-2002i−2i000220022-2-2-2-22i2i2i2i−2i−2i−2i−2i000000000000000000000000−2i−2i2i2i-220000000−1+i1−i1+i−1−i−1−i1+i1−i−1+i0000
χ2522-2-200−2i2i000220022-2-2-2-2−2i−2i−2i−2i2i2i2i2i0000000000000000000000002i2i−2i−2i-2200000001+i−1−i−1+i1−i1−i−1+i−1−i1+i0000
χ2622-2-200−2i2i000220022-2-2-2-2−2i−2i−2i−2i2i2i2i2i0000000000000000000000002i2i−2i−2i-220000000−1−i1+i1−i−1+i−1+i1−i1+i−1−i0000
χ2722-2-200−2i2i000220022-2-2-2-2−2i−2i−2i−2i2i2i2i2i000000000000000000000000−2i−2i2i2i2-200000001−i−1+i1+i−1−i1+i−1−i1−i−1+i0000
χ2822-2-200−2i2i000220022-2-2-2-2−2i−2i−2i−2i2i2i2i2i000000000000000000000000−2i−2i2i2i2-20000000−1+i1−i−1−i1+i−1−i1+i−1+i1−i0000
χ292-2-222-200000222-2-2-2-2-2220000000000000000000022-2-22222-2-2-2-22-22-2002-22-2000000000000000
χ302-2-222-200000222-2-2-2-2-2220000000000000000000022-2-22222-2-2-2-2-22-2200-22-22000000000000000
χ312-2-222-20000022-22-2-2-2-2220000000000000000000022-2-2-2-2-2-222222-22-2002-2-22000000000000000
χ322-2-222-20000022-22-2-2-2-2220000000000000000000022-2-2-2-2-2-22222-22-2200-222-2000000000000000
χ332-2-22-220002-22200-2-2-2-2220000000000002222-2-2-2-2-2-222000000002-22-200-220002-2000000000000
χ342-2-22-220002-22200-2-2-2-2220000000000002222-2-2-2-2-2-22200000000-22-22002-2000-22000000000000
χ352-2-22-22000-222200-2-2-2-222000000000000-2-2-2-22222-2-222000000002-22-200-22000-22000000000000
χ362-2-22-22000-222200-2-2-2-222000000000000-2-2-2-22222-2-22200000000-22-22002-20002-2000000000000
χ37444444444441-2441-21-21-211-2-211-2-211-2-211-2-211-2-21-21-211-2-211-2-20000000000000000000000000
χ3844444444444-2144-21-21-21-2-211-2-211-2-211-2-211-2-211-21-21-2-211-2-2110000000000000000000000000
χ39444444444-4-41-2-4-41-21-21-211-2-211-2-211-2-2-1-122-1-1221-21-2-1-122-1-1220000000000000000000000000
χ40444444444-4-4-21-4-4-21-21-21-2-211-2-211-2-21122-1-122-1-1-21-2122-1-122-1-10000000000000000000000000
χ41444444-4-4-4441-2-4-41-21-21-2-1-122-1-122-1-12211-2-211-2-21-21-2-1-122-1-1220000000000000000000000000
χ42444444-4-4-444-21-4-4-21-21-2122-1-122-1-122-1-1-2-211-2-211-21-2122-1-122-1-10000000000000000000000000
χ43444444-4-4-4-4-41-2441-21-21-2-1-122-1-122-1-122-1-122-1-1221-21-211-2-211-2-20000000000000000000000000
χ44444444-4-4-4-4-4-2144-21-21-2122-1-122-1-122-1-122-1-122-1-1-21-21-2-211-2-2110000000000000000000000000
χ454444-4-444-4001-2001-21-21-211-2-211-2-2-1-1223-3003-300-12-123-3003-3000000000000000000000000000
χ464444-4-444-4001-2001-21-21-211-2-211-2-2-1-122-3300-3300-12-12-3300-33000000000000000000000000000
χ474444-4-444-400-2100-21-21-21-2-211-2-21122-1-1003-3003-32-12-1003-3003-30000000000000000000000000
χ484444-4-444-400-2100-21-21-21-2-211-2-21122-1-100-3300-332-12-100-3300-330000000000000000000000000
χ494444-4-4-4-44001-2001-21-21-2-1-122-1-12211-2-23-3003-300-12-12-3300-33000000000000000000000000000
χ504444-4-4-4-44001-2001-21-21-2-1-122-1-12211-2-2-3300-3300-12-123-3003-3000000000000000000000000000
χ514444-4-4-4-4400-2100-21-21-2122-1-122-1-1-2-211003-3003-32-12-100-3300-330000000000000000000000000
χ524444-4-4-4-4400-2100-21-21-2122-1-122-1-1-2-21100-3300-332-12-1003-3003-30000000000000000000000000
χ534-44-400000004400-4-444-4-4000000000000000000000000000000004i−4i−4i4i000000000000000000000
χ544-44-400000004400-4-444-4-400000000000000000000000000000000−4i4i4i−4i000000000000000000000
χ554-4-444-4000001-24-4-12-121-23-3003-3003-3003-300-33001-2-1211-2-2-1-1220000000000000000000000000
χ564-4-444-4000001-24-4-12-121-2-3300-3300-3300-33003-3001-2-1211-2-2-1-1220000000000000000000000000
χ574-4-444-4000001-2-44-12-121-23-3003-3003-300-33003-3001-2-12-1-12211-2-20000000000000000000000000
χ584-4-444-4000001-2-44-12-121-2-3300-3300-33003-300-33001-2-12-1-12211-2-20000000000000000000000000
χ594-4-444-400000-214-42-12-1-21003-3003-3003-3003-300-33-212-1-2-21122-1-10000000000000000000000000
χ604-4-444-400000-214-42-12-1-2100-3300-3300-3300-33003-3-212-1-2-21122-1-10000000000000000000000000
χ614-4-444-400000-21-442-12-1-21003-3003-3003-300-33003-3-212-122-1-1-2-2110000000000000000000000000
χ624-4-444-400000-21-442-12-1-2100-3300-3300-33003-300-33-212-122-1-1-2-2110000000000000000000000000
χ634-4-44-440004-41-200-12-121-23-3003-300-330011-2-2-1-122-121-23-300-33000000000000000000000000000
χ644-4-44-440004-41-200-12-121-2-3300-33003-30011-2-2-1-122-121-2-33003-3000000000000000000000000000
χ654-4-44-440004-4-21002-12-1-21003-3003-300-33-2-21122-1-12-1-21003-300-330000000000000000000000000
χ664-4-44-440004-4-21002-12-1-2100-3300-33003-3-2-21122-1-12-1-2100-33003-30000000000000000000000000
χ674-4-44-44000-441-200-12-121-23-3003-300-3300-1-12211-2-2-121-2-33003-3000000000000000000000000000
χ684-4-44-44000-441-200-12-121-2-3300-33003-300-1-12211-2-2-121-23-300-33000000000000000000000000000
χ694-4-44-44000-44-21002-12-1-21003-3003-300-3322-1-1-2-2112-1-2100-33003-30000000000000000000000000
χ704-4-44-44000-44-21002-12-1-2100-3300-33003-322-1-1-2-2112-1-21003-300-330000000000000000000000000
χ7188-8-8008i−8i0002-4002-4-24-242i2i−4i−4i−2i−2i4i4i0000000000000000000000000000000000000000000000000
χ7288-8-8008i−8i000-4200-424-24-2−4i−4i2i2i4i4i−2i−2i0000000000000000000000000000000000000000000000000
χ7388-8-800−8i8i0002-4002-4-24-24−2i−2i4i4i2i2i−4i−4i0000000000000000000000000000000000000000000000000
χ7488-8-800−8i8i000-4200-424-24-24i4i−2i−2i−4i−4i2i2i0000000000000000000000000000000000000000000000000
χ758-88-800000002-400-242-4-246i−6i00−6i6i000000000000000000000000000000000000000000000000000
χ768-88-800000002-400-242-4-24−6i6i006i−6i000000000000000000000000000000000000000000000000000
χ778-88-80000000-42004-2-424-2006i−6i00−6i6i0000000000000000000000000000000000000000000000000
χ788-88-80000000-42004-2-424-200−6i6i006i−6i0000000000000000000000000000000000000000000000000

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