Finite Group Databasebeta

← Group #11791018

Character table — Group #11791018

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111111112222444444444444444488888888181818181818181818181818181818181818181818181818242424242424242424242424242424242424242424242424
order122222224444336666666666666612121212121212124444444488888888888888884444444412121212121212121212121212121212
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
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111
χ511111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ711111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ811111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ9111-1-1-1-11ii−i−i111111-1-1-1-1-1-111-1-1iiii−i−i−i−iii−i−i1-11-11111-1-1-1-1iiii−i−i−i−ii−ii−i1-11-1ii−i−i11-1-1ii−i−i11-1-1
χ10111-1-1-1-11ii−i−i111111-1-1-1-1-1-111-1-1iiii−i−i−i−iii−i−i1-11-11111-1-1-1-1iiii−i−i−i−i−ii−ii-11-11−i−iii-1-111−i−iii-1-111
χ11111-1-1-1-11ii−i−i111111-1-1-1-1-1-111-1-1iiii−i−i−i−iii−i−i1-11-1-1-1-1-11111−i−i−i−iiiiii−i−ii1-1-11ii−i−i11-1-1−i−iii-1-111
χ12111-1-1-1-11ii−i−i111111-1-1-1-1-1-111-1-1iiii−i−i−i−iii−i−i1-11-1-1-1-1-11111−i−i−i−iiiii−iii−i-111-1−i−iii-1-111ii−i−i11-1-1
χ13111-1-1-1-11−i−iii111111-1-1-1-1-1-111-1-1−i−i−i−iiiii−i−iii1-11-11111-1-1-1-1−i−i−i−iiiiii−ii−i-11-11ii−i−i-1-111ii−i−i-1-111
χ14111-1-1-1-11−i−iii111111-1-1-1-1-1-111-1-1−i−i−i−iiiii−i−iii1-11-11111-1-1-1-1−i−i−i−iiiii−ii−ii1-11-1−i−iii11-1-1−i−iii11-1-1
χ15111-1-1-1-11−i−iii111111-1-1-1-1-1-111-1-1−i−i−i−iiiii−i−iii1-11-1-1-1-1-11111iiii−i−i−i−ii−i−ii-111-1ii−i−i-1-111−i−iii11-1-1
χ16111-1-1-1-11−i−iii111111-1-1-1-1-1-111-1-1−i−i−i−iiiii−i−iii1-11-1-1-1-1-11111iiii−i−i−i−i−iii−i1-1-11−i−iii11-1-1ii−i−i-1-111
χ17222222222222222222222222222222222222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ1822222222-2-2-2-22222222222222222-2-2-2-2-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000
χ19222-2-2-2-222i2i−2i−2i222222-2-2-2-2-2-222-2-22i2i2i2i−2i−2i−2i−2i−2i−2i2i2i-22-220000000000000000000000000000000000000000
χ20222-2-2-2-22−2i−2i2i2i222222-2-2-2-2-2-222-2-2−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i-22-220000000000000000000000000000000000000000
χ2122-222-2-2-22-22-22222-2-222-2-222-2-2-2-222-2-222-2-20000000022−2−222−2−222−2−222−2−2000000000000000000000000
χ2222-222-2-2-22-22-22222-2-222-2-222-2-2-2-222-2-222-2-200000000−2−222−2−222−2−222−2−222000000000000000000000000
χ2322-222-2-2-2-22-222222-2-222-2-222-2-2-2-2-2-222-2-2220000000022−2−222−2−2−2−222−2−222000000000000000000000000
χ2422-222-2-2-2-22-222222-2-222-2-222-2-2-2-2-2-222-2-22200000000−2−222−2−22222−2−222−2−2000000000000000000000000
χ2522-2-2-222-22i−2i−2i2i2222-2-2-2-222-2-2-2-2222i2i−2i−2i−2i−2i2i2i0000000022−2−2−2−222i2i2−i2−i2−i2−i2i2i2000000000000000000000000
χ2622-2-2-222-22i−2i−2i2i2222-2-2-2-222-2-2-2-2222i2i−2i−2i−2i−2i2i2i00000000−2−22222−2−2−i2−i2i2i2i2i2−i2−i2000000000000000000000000
χ2722-2-2-222-2−2i2i2i−2i2222-2-2-2-222-2-2-2-222−2i−2i2i2i2i2i−2i−2i0000000022−2−2−2−222−i2−i2i2i2i2i2−i2−i2000000000000000000000000
χ2822-2-2-222-2−2i2i2i−2i2222-2-2-2-222-2-2-2-222−2i−2i2i2i2i2i−2i−2i00000000−2−22222−2−2i2i2−i2−i2−i2−i2i2i2000000000000000000000000
χ292-222-22-2-2000022-2-2222222-2-2-2-2-2-2000000002-22-200002−22−22−22−22−22−22−22−2000000000000000000000000
χ302-222-22-2-2000022-2-2222222-2-2-2-2-2-2000000002-22-20000−22−22−22−22−22−22−22−22000000000000000000000000
χ312-222-22-2-2000022-2-2222222-2-2-2-2-2-200000000-22-2200002−22−22−22−2−22−22−22−22000000000000000000000000
χ322-222-22-2-2000022-2-2222222-2-2-2-2-2-200000000-22-220000−22−22−22−222−22−22−22−2000000000000000000000000
χ332-22-22-22-2000022-2-222-2-2-2-222-2-222000000002i−2i−2i2i00002−22−2−22−22i2−i2i2−i2−i2i2−i2i2000000000000000000000000
χ342-22-22-22-2000022-2-222-2-2-2-222-2-222000000002i−2i−2i2i0000−22−222−22−2−i2i2−i2i2i2−i2i2−i2000000000000000000000000
χ352-22-22-22-2000022-2-222-2-2-2-222-2-22200000000−2i2i2i−2i00002−22−2−22−22−i2i2−i2i2i2−i2i2−i2000000000000000000000000
χ362-22-22-22-2000022-2-222-2-2-2-222-2-22200000000−2i2i2i−2i0000−22−222−22−2i2−i2i2−i2−i2i2−i2i2000000000000000000000000
χ372-2-22-2-222000022-2-2-2-222-2-2-2-222220000000000002-2-22000000002-2-222-2-22000000000000000000000000
χ382-2-22-2-222000022-2-2-2-222-2-2-2-222220000000000002-2-2200000000-222-2-222-2000000000000000000000000
χ392-2-22-2-222000022-2-2-2-222-2-2-2-22222000000000000-222-22-2-222-2-2200000000000000000000000000000000
χ402-2-22-2-222000022-2-2-2-222-2-2-2-22222000000000000-222-2-222-2-222-200000000000000000000000000000000
χ412-2-2-222-22000022-2-2-2-2-2-2222222-2-200000000000022-2-2000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000
χ422-2-2-222-22000022-2-2-2-2-2-2222222-2-200000000000022-2-200000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000
χ432-2-2-222-22000022-2-2-2-2-2-2222222-2-2000000000000-2-2222-2-22-222-200000000000000000000000000000000
χ442-2-2-222-22000022-2-2-2-2-2-2222222-2-2000000000000-2-222-222-22-2-2200000000000000000000000000000000
χ454444444444441-21-21-21-21-21-21-21-21-21-21-21-20000000000000000000000000022002200000000-1-1-1-1-1-1-1-1
χ464444444444441-21-21-21-21-21-21-21-21-21-21-21-200000000000000000000000000-2-200-2-20000000011111111
χ47444444444444-21-21-21-21-21-21-21-21-21-21-21-2100000000000000000000000022002200-1-1-1-1-1-1-1-100000000
χ48444444444444-21-21-21-21-21-21-21-21-21-21-21-21000000000000000000000000-2-200-2-2001111111100000000
χ4944444444-4-4-4-41-21-21-21-21-21-21-21-2-12-12-12-12000000000000000000000000002200-2-200000000-1-1-1-11111
χ5044444444-4-4-4-41-21-21-21-21-21-21-21-2-12-12-12-1200000000000000000000000000-2-20022000000001111-1-1-1-1
χ5144444444-4-4-4-4-21-21-21-21-21-21-21-212-12-12-12-10000000000000000000000002200-2-200-1-1-1-1111100000000
χ5244444444-4-4-4-4-21-21-21-21-21-21-21-212-12-12-12-1000000000000000000000000-2-20022001111-1-1-1-100000000
χ53444-4-4-4-444i4i−4i−4i1-21-21-2-12-12-121-2-12i−2ii−2i−i2i−i2i000000000000000000000000002i−2i002-200000000−i−iii-1-111
χ54444-4-4-4-444i4i−4i−4i1-21-21-2-12-12-121-2-12i−2ii−2i−i2i−i2i00000000000000000000000000−2i2i00-2200000000ii−i−i11-1-1
χ55444-4-4-4-444i4i−4i−4i-21-21-212-12-12-1-212-1−2ii−2ii2i−i2i−i0000000000000000000000002i−2i002-200−i−iii-1-11100000000
χ56444-4-4-4-444i4i−4i−4i-21-21-212-12-12-1-212-1−2ii−2ii2i−i2i−i000000000000000000000000−2i2i00-2200ii−i−i11-1-100000000
χ57444-4-4-4-44−4i−4i4i4i1-21-21-2-12-12-121-2-12−i2i−i2ii−2ii−2i000000000000000000000000002i−2i00-2200000000−i−iii11-1-1
χ58444-4-4-4-44−4i−4i4i4i1-21-21-2-12-12-121-2-12−i2i−i2ii−2ii−2i00000000000000000000000000−2i2i002-200000000ii−i−i-1-111
χ59444-4-4-4-44−4i−4i4i4i-21-21-212-12-12-1-212-12i−i2i−i−2ii−2ii0000000000000000000000002i−2i00-2200−i−iii11-1-100000000
χ60444-4-4-4-44−4i−4i4i4i-21-21-212-12-12-1-212-12i−i2i−i−2ii−2ii000000000000000000000000−2i2i002-200ii−i−i-1-11100000000
χ6144-444-4-4-44-44-41-21-2-121-2-121-2-12-121-2-121-2-1200000000000000000000000000000000000000003−33−33−33−3
χ6244-444-4-4-44-44-41-21-2-121-2-121-2-12-121-2-121-2-120000000000000000000000000000000000000000−33−33−33−33
χ6344-444-4-4-44-44-4-21-212-1-212-1-212-12-1-212-1-212-1000000000000000000000000000000003−33−33−33−300000000
χ6444-444-4-4-44-44-4-21-212-1-212-1-212-12-1-212-1-212-100000000000000000000000000000000−33−33−33−3300000000
χ6544-444-4-4-4-44-441-21-2-121-2-121-2-12-12-121-2-121-200000000000000000000000000000000000000003−33−3−33−33
χ6644-444-4-4-4-44-441-21-2-121-2-121-2-12-12-121-2-121-20000000000000000000000000000000000000000−33−333−33−3
χ6744-444-4-4-4-44-44-21-212-1-212-1-212-12-12-1-212-1-21000000000000000000000000000000003−33−3−33−3300000000
χ6844-444-4-4-4-44-44-21-212-1-212-1-212-12-12-1-212-1-2100000000000000000000000000000000−33−333−33−300000000
χ6944-4-4-444-44i−4i−4i4i1-21-2-12-121-2-12-121-2i−2i−i2i−i2ii−2i0000000000000000000000000000000000000000−i3i3i3−i3−333−3
χ7044-4-4-444-44i−4i−4i4i1-21-2-12-121-2-12-121-2i−2i−i2i−i2ii−2i0000000000000000000000000000000000000000i3−i3−i3i33−3−33
χ7144-4-4-444-44i−4i−4i4i-21-212-12-1-212-12-1-21−2ii2i−i2i−i−2ii00000000000000000000000000000000−i3i3i3−i3−333−300000000
χ7244-4-4-444-44i−4i−4i4i-21-212-12-1-212-12-1-21−2ii2i−i2i−i−2ii00000000000000000000000000000000i3−i3−i3i33−3−3300000000
χ7344-4-4-444-4−4i4i4i−4i1-21-2-12-121-2-12-121-2−i2ii−2ii−2i−i2i0000000000000000000000000000000000000000−i3i3i3−i33−3−33
χ7444-4-4-444-4−4i4i4i−4i1-21-2-12-121-2-12-121-2−i2ii−2ii−2i−i2i0000000000000000000000000000000000000000i3−i3−i3i3−333−3
χ7544-4-4-444-4−4i4i4i−4i-21-212-12-1-212-12-1-212i−i−2ii−2ii2i−i00000000000000000000000000000000−i3i3i3−i33−3−3300000000
χ7644-4-4-444-4−4i4i4i−4i-21-212-12-1-212-12-1-212i−i−2ii−2ii2i−i00000000000000000000000000000000i3−i3−i3i3−333−300000000
χ778-888-88-8-800002-4-242-42-42-4-24-24-2400000000000000000000000000000000000000000000000000000000
χ788-888-88-8-80000-424-2-42-42-424-24-24-200000000000000000000000000000000000000000000000000000000
χ798-88-88-88-800002-4-242-4-24-242-4-242-400000000000000000000000000000000000000000000000000000000
χ808-88-88-88-80000-424-2-424-24-2-424-2-4200000000000000000000000000000000000000000000000000000000
χ818-8-88-8-88800002-4-24-242-4-24-242-42-400000000000000000000000000000000000000000000000000000000
χ828-8-88-8-8880000-424-24-2-424-24-2-42-4200000000000000000000000000000000000000000000000000000000
χ838-8-8-888-8800002-4-24-24-242-42-42-4-2400000000000000000000000000000000000000000000000000000000
χ848-8-8-888-880000-424-24-24-2-42-42-424-200000000000000000000000000000000000000000000000000000000

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