Finite Group Databasebeta

← Group #11791051

Character table — Group #11791051

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111111112222444444444444444488888888181818181818181818181818181818181818181818181818242424242424242424242424242424242424242424242424
order1222222244443366666666666666121212121212121244444444888888888888888822224444666666661212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111
χ511111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ611111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ711111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ811111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ9111-1-11-1-1ii−i−i11111111-1-1-1-1-1-1-1-1iiii−i−i−i−i1-1ii−i−i1-11111-1-1-1-1iiii−i−i−i−i1-11-1i−ii−i11-1-111-1-1ii−i−iii−i−i
χ10111-1-11-1-1ii−i−i11111111-1-1-1-1-1-1-1-1iiii−i−i−i−i1-1ii−i−i1-11111-1-1-1-1iiii−i−i−i−i-11-11−ii−ii-1-111-1-111−i−iii−i−iii
χ11111-1-11-1-1ii−i−i11111111-1-1-1-1-1-1-1-1iiii−i−i−i−i1-1ii−i−i1-1-1-1-1-11111−i−i−i−iiiii1-1-11i−i−ii11-1-1-1-111ii−i−i−i−iii
χ12111-1-11-1-1ii−i−i11111111-1-1-1-1-1-1-1-1iiii−i−i−i−i1-1ii−i−i1-1-1-1-1-11111−i−i−i−iiiii-111-1−iii−i-1-11111-1-1−i−iiiii−i−i
χ13111-1-11-1-1−i−iii11111111-1-1-1-1-1-1-1-1−i−i−i−iiiii1-1−i−iii1-11111-1-1-1-1−i−i−i−iiiii1-11-1−ii−ii11-1-111-1-1−i−iii−i−iii
χ14111-1-11-1-1−i−iii11111111-1-1-1-1-1-1-1-1−i−i−i−iiiii1-1−i−iii1-11111-1-1-1-1−i−i−i−iiiii-11-11i−ii−i-1-111-1-111ii−i−iii−i−i
χ15111-1-11-1-1−i−iii11111111-1-1-1-1-1-1-1-1−i−i−i−iiiii1-1−i−iii1-1-1-1-1-11111iiii−i−i−i−i1-1-11−iii−i11-1-1-1-111−i−iiiii−i−i
χ16111-1-11-1-1−i−iii11111111-1-1-1-1-1-1-1-1−i−i−i−iiiii1-1−i−iii1-1-1-1-1-11111iiii−i−i−i−i-111-1i−i−ii-1-11111-1-1ii−i−i−i−iii
χ17222222222222222222222222222222222222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ1822222222-2-2-2-22222222222222222-2-2-2-2-2-2-2-2-2-22222-2-20000000000000000000000000000000000000000
χ19222-2-22-2-22i2i−2i−2i22222222-2-2-2-2-2-2-2-22i2i2i2i−2i−2i−2i−2i-22−2i−2i2i2i-220000000000000000000000000000000000000000
χ20222-2-22-2-2−2i−2i2i2i22222222-2-2-2-2-2-2-2-2−2i−2i−2i−2i2i2i2i2i-222i2i−2i−2i-220000000000000000000000000000000000000000
χ2122-222-2-2-200002222-2-2-2-222-2-222-2-200000000002i−2i2i−2i0022−2−222−2−2−i2−i2i2i2−i2−i2i2i2000000000000000000000000
χ2222-222-2-2-200002222-2-2-2-222-2-222-2-200000000002i−2i2i−2i00−2−222−2−222i2i2−i2−i2i2i2−i2−i2000000000000000000000000
χ2322-222-2-2-200002222-2-2-2-222-2-222-2-20000000000−2i2i−2i2i0022−2−222−2−2i2i2−i2−i2i2i2−i2−i2000000000000000000000000
χ2422-222-2-2-200002222-2-2-2-222-2-222-2-20000000000−2i2i−2i2i00−2−222−2−222−i2−i2i2i2−i2−i2i2i2000000000000000000000000
χ2522-2-2-2-22200002222-2-2-2-2-2-222-2-22200000000002-2-220022−2−2−2−222−2−22222−2−2000000000000000000000000
χ2622-2-2-2-22200002222-2-2-2-2-2-222-2-22200000000002-2-2200−2−22222−2−222−2−2−2−222000000000000000000000000
χ2722-2-2-2-22200002222-2-2-2-2-2-222-2-2220000000000-222-20022−2−2−2−22222−2−2−2−222000000000000000000000000
χ2822-2-2-2-22200002222-2-2-2-2-2-222-2-2220000000000-222-200−2−22222−2−2−2−22222−2−2000000000000000000000000
χ292-222-2-22-22i−2i2i−2i22-2-222-2-22222-2-2-2-22i2i−2i−2i2i2i−2i−2i000000002−22−22−22−2−i2i2−i2i2−i2i2−i2i2000000000000000000000000
χ302-222-2-22-22i−2i2i−2i22-2-222-2-22222-2-2-2-22i2i−2i−2i2i2i−2i−2i00000000−22−22−22−22i2−i2i2−i2i2−i2i2−i2000000000000000000000000
χ312-222-2-22-2−2i2i−2i2i22-2-222-2-22222-2-2-2-2−2i−2i2i2i−2i−2i2i2i000000002−22−22−22−2i2−i2i2−i2i2−i2i2−i2000000000000000000000000
χ322-222-2-22-2−2i2i−2i2i22-2-222-2-22222-2-2-2-2−2i−2i2i2i−2i−2i2i2i00000000−22−22−22−22−i2i2−i2i2−i2i2−i2i2000000000000000000000000
χ332-22-22-2-222-2-2222-2-222-2-2-2-2-2-2222222-2-2-2-222000000002−22−2−22−22−22−222−22−2000000000000000000000000
χ342-22-22-2-222-2-2222-2-222-2-2-2-2-2-2222222-2-2-2-22200000000−22−222−22−22−22−2−22−22000000000000000000000000
χ352-22-22-2-22-222-222-2-222-2-2-2-2-2-22222-2-22222-2-2000000002−22−2−22−222−22−2−22−22000000000000000000000000
χ362-22-22-2-22-222-222-2-222-2-2-2-2-2-22222-2-22222-2-200000000−22−222−22−2−22−222−22−2000000000000000000000000
χ372-2-22-22-22000022-2-2-2-22222-2-2-2-222000000002-20000-22000000002-2-222-2-22000000000000000000000000
χ382-2-22-22-22000022-2-2-2-22222-2-2-2-222000000002-20000-2200000000-222-2-222-2000000000000000000000000
χ392-2-22-22-22000022-2-2-2-22222-2-2-2-22200000000-2200002-22-2-222-2-2200000000000000000000000000000000
χ402-2-22-22-22000022-2-2-2-22222-2-2-2-22200000000-2200002-2-222-2-222-200000000000000000000000000000000
χ412-2-2-2222-2000022-2-2-2-222-2-22222-2-200000000220000-2-2000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000
χ422-2-2-2222-2000022-2-2-2-222-2-22222-2-200000000220000-2-200000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000
χ432-2-2-2222-2000022-2-2-2-222-2-22222-2-200000000-2-20000222-2-22-222-200000000000000000000000000000000
χ442-2-2-2222-2000022-2-2-2-222-2-22222-2-200000000-2-2000022-222-22-2-2200000000000000000000000000000000
χ454444444444441-21-21-21-21-21-21-21-21-21-21-21-2000000000000000000000000002200220000-1-1-1-10000-1-1-1-1
χ464444444444441-21-21-21-21-21-21-21-21-21-21-21-200000000000000000000000000-2-200-2-20000111100001111
χ47444444444444-21-21-21-21-21-21-21-21-21-21-21-2100000000000000000000000022002200-1-1-1-10000-1-1-1-10000
χ48444444444444-21-21-21-21-21-21-21-21-21-21-21-21000000000000000000000000-2-200-2-2001111000011110000
χ4944444444-4-4-4-41-21-21-21-21-21-21-21-2-12-12-12-12000000000000000000000000002200-2-20000-1-1-1-100001111
χ5044444444-4-4-4-41-21-21-21-21-21-21-21-2-12-12-12-1200000000000000000000000000-2-20022000011110000-1-1-1-1
χ5144444444-4-4-4-4-21-21-21-21-21-21-21-212-12-12-12-10000000000000000000000002200-2-200-1-1-1-1000011110000
χ5244444444-4-4-4-4-21-21-21-21-21-21-21-212-12-12-12-1000000000000000000000000-2-200220011110000-1-1-1-10000
χ53444-4-44-4-44i4i−4i−4i1-21-21-21-2-12-12-12-12i−2ii−2i−i2i−i2i000000000000000000000000002-2002i−2i0000-1-1110000−i−iii
χ54444-4-44-4-44i4i−4i−4i1-21-21-21-2-12-12-12-12i−2ii−2i−i2i−i2i00000000000000000000000000-2200−2i2i000011-1-10000ii−i−i
χ55444-4-44-4-44i4i−4i−4i-21-21-21-212-12-12-12-1−2ii−2ii2i−i2i−i0000000000000000000000002-2002i−2i00-1-1110000−i−iii0000
χ56444-4-44-4-44i4i−4i−4i-21-21-21-212-12-12-12-1−2ii−2ii2i−i2i−i000000000000000000000000-2200−2i2i0011-1-10000ii−i−i0000
χ57444-4-44-4-4−4i−4i4i4i1-21-21-21-2-12-12-12-12−i2i−i2ii−2ii−2i000000000000000000000000002-200−2i2i0000-1-1110000ii−i−i
χ58444-4-44-4-4−4i−4i4i4i1-21-21-21-2-12-12-12-12−i2i−i2ii−2ii−2i00000000000000000000000000-22002i−2i000011-1-10000−i−iii
χ59444-4-44-4-4−4i−4i4i4i-21-21-21-212-12-12-12-12i−i2i−i−2ii−2ii0000000000000000000000002-200−2i2i00-1-1110000ii−i−i0000
χ60444-4-44-4-4−4i−4i4i4i-21-21-21-212-12-12-12-12i−i2i−i−2ii−2ii000000000000000000000000-22002i−2i0011-1-10000−i−iii0000
χ614-444-4-44-44i−4i4i−4i1-2-121-2-121-21-2-12-12i−2i−i2ii−2i−i2i000000000000000000000000000000000000−i3i3−i3i300003−33−3
χ624-444-4-44-44i−4i4i−4i1-2-121-2-121-21-2-12-12i−2i−i2ii−2i−i2i000000000000000000000000000000000000i3−i3i3−i30000−33−33
χ634-444-4-44-44i−4i4i−4i-212-1-212-1-21-212-12-1−2ii2i−i−2ii2i−i00000000000000000000000000000000−i3i3−i3i300003−33−30000
χ644-444-4-44-44i−4i4i−4i-212-1-212-1-21-212-12-1−2ii2i−i−2ii2i−i00000000000000000000000000000000i3−i3i3−i30000−33−330000
χ654-444-4-44-4−4i4i−4i4i1-2-121-2-121-21-2-12-12−i2ii−2i−i2ii−2i000000000000000000000000000000000000−i3i3−i3i30000−33−33
χ664-444-4-44-4−4i4i−4i4i1-2-121-2-121-21-2-12-12−i2ii−2i−i2ii−2i000000000000000000000000000000000000i3−i3i3−i300003−33−3
χ674-444-4-44-4−4i4i−4i4i-212-1-212-1-21-212-12-12i−i−2ii2i−i−2ii00000000000000000000000000000000−i3i3−i3i30000−33−330000
χ684-444-4-44-4−4i4i−4i4i-212-1-212-1-21-212-12-12i−i−2ii2i−i−2ii00000000000000000000000000000000i3−i3i3−i300003−33−30000
χ694-44-44-4-444-4-441-2-121-2-12-12-121-21-21-2-12-121-2000000000000000000000000000000000000−i3i3i3−i30000−i3i3i3−i3
χ704-44-44-4-444-4-441-2-121-2-12-12-121-21-21-2-12-121-2000000000000000000000000000000000000i3−i3−i3i30000i3−i3−i3i3
χ714-44-44-4-444-4-44-212-1-212-12-12-1-21-21-212-12-1-2100000000000000000000000000000000−i3i3i3−i30000−i3i3i3−i30000
χ724-44-44-4-444-4-44-212-1-212-12-12-1-21-21-212-12-1-2100000000000000000000000000000000i3−i3−i3i30000i3−i3−i3i30000
χ734-44-44-4-44-444-41-2-121-2-12-12-121-21-2-121-21-2-12000000000000000000000000000000000000−i3i3i3−i30000i3−i3−i3i3
χ744-44-44-4-44-444-41-2-121-2-12-12-121-21-2-121-21-2-12000000000000000000000000000000000000i3−i3−i3i30000−i3i3i3−i3
χ754-44-44-4-44-444-4-212-1-212-12-12-1-21-212-1-21-212-100000000000000000000000000000000−i3i3i3−i30000i3−i3−i3i30000
χ764-44-44-4-44-444-4-212-1-212-12-12-1-21-212-1-21-212-100000000000000000000000000000000i3−i3−i3i30000−i3i3i3−i30000
χ7788-888-8-8-800002-42-4-24-242-4-242-4-2400000000000000000000000000000000000000000000000000000000
χ7888-888-8-8-80000-42-424-24-2-424-2-424-200000000000000000000000000000000000000000000000000000000
χ7988-8-8-8-88800002-42-4-24-24-242-4-242-400000000000000000000000000000000000000000000000000000000
χ8088-8-8-8-8880000-42-424-24-24-2-424-2-4200000000000000000000000000000000000000000000000000000000
χ818-8-88-88-8800002-4-24-242-42-4-24-242-400000000000000000000000000000000000000000000000000000000
χ828-8-88-88-880000-424-24-2-42-424-24-2-4200000000000000000000000000000000000000000000000000000000
χ838-8-8-8888-800002-4-24-242-4-242-42-4-2400000000000000000000000000000000000000000000000000000000
χ848-8-8-8888-80000-424-24-2-424-2-42-424-200000000000000000000000000000000000000000000000000000000

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