Finite Group Databasebeta

← Group #11790115

Character table — Group #11790115

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
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1
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
χ711111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ811111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1-1-1-11111
χ91-1-111-11-1ii−i−i111111-1-1-1-1-1-111-1-1ii−i−iii−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
χ101-1-111-11-1ii−i−i111111-1-1-1-1-1-111-1-1ii−i−iii−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
χ111-1-111-11-1ii−i−i111111-1-1-1-1-1-111-1-1ii−i−iii−i−i1-1ii−i−i1-1-1-1-1-11111−i−i−i−iiiii1-1-11i−i−ii11-1-1-1-111−i−iiiii−i−i
χ121-1-111-11-1ii−i−i111111-1-1-1-1-1-111-1-1ii−i−iii−i−i1-1ii−i−i1-1-1-1-1-11111−i−i−i−iiiii-111-1−iii−i-1-11111-1-1ii−i−i−i−iii
χ131-1-111-11-1−i−iii111111-1-1-1-1-1-111-1-1−i−iii−i−iii1-1−i−iii1-11111-1-1-1-1−i−i−i−iiiii1-11-1−ii−ii11-1-111-1-1−i−iii−i−iii
χ141-1-111-11-1−i−iii111111-1-1-1-1-1-111-1-1−i−iii−i−iii1-1−i−iii1-11111-1-1-1-1−i−i−i−iiiii-11-11i−ii−i-1-111-1-111ii−i−iii−i−i
χ151-1-111-11-1−i−iii111111-1-1-1-1-1-111-1-1−i−iii−i−iii1-1−i−iii1-1-1-1-1-11111iiii−i−i−i−i1-1-11−iii−i11-1-1-1-111ii−i−i−i−iii
χ161-1-111-11-1−i−iii111111-1-1-1-1-1-111-1-1−i−iii−i−iii1-1−i−iii1-1-1-1-1-11111iiii−i−i−i−i-111-1i−i−ii-1-11111-1-1−i−iiiii−i−i
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
χ19222-2-2-22-200002222-2-22222-2-2-2-2-2-2000000002-20000-220000000022-2-222-2-2000000000000000000000000
χ20222-2-2-22-200002222-2-22222-2-2-2-2-2-2000000002-20000-2200000000-2-222-2-222000000000000000000000000
χ21222-2-2-22-200002222-2-22222-2-2-2-2-2-200000000-2200002-222-2-222-2-200000000000000000000000000000000
χ22222-2-2-22-200002222-2-22222-2-2-2-2-2-200000000-2200002-2-2-222-2-22200000000000000000000000000000000
χ2322-22-22-2-2000022-2-22-222-2-2-222-2-2200000000002i−2i2i−2i00−i2i2−i2i2−i2i2−i2i22−22−22−22−2000000000000000000000000
χ2422-22-22-2-2000022-2-22-222-2-2-222-2-2200000000002i−2i2i−2i00i2−i2i2−i2i2−i2i2−i2−22−22−22−22000000000000000000000000
χ2522-22-22-2-2000022-2-22-222-2-2-222-2-220000000000−2i2i−2i2i00−i2i2−i2i2−i2i2−i2i2−22−22−22−22000000000000000000000000
χ2622-22-22-2-2000022-2-22-222-2-2-222-2-220000000000−2i2i−2i2i00i2−i2i2−i2i2−i2i2−i22−22−22−22−2000000000000000000000000
χ2722-2-22-2-222i−2i2i−2i22-2-2-2222-2-22-2-222-22i−2i2i−2i2i−2i2i−2i00000000−i2i2i2−i2−i2i2i2−i22−2−222−2−22000000000000000000000000
χ2822-2-22-2-222i−2i2i−2i22-2-2-2222-2-22-2-222-22i−2i2i−2i2i−2i2i−2i00000000i2−i2−i2i2i2−i2−i2i2−222−2−222−2000000000000000000000000
χ2922-2-22-2-22−2i2i−2i2i22-2-2-2222-2-22-2-222-2−2i2i−2i2i−2i2i−2i2i00000000−i2i2i2−i2−i2i2i2−i2−222−2−222−2000000000000000000000000
χ3022-2-22-2-22−2i2i−2i2i22-2-2-2222-2-22-2-222-2−2i2i−2i2i−2i2i−2i2i00000000i2−i2−i2i2i2−i2−i2i22−2−222−2−22000000000000000000000000
χ312-222-2-2-22000022-2-22-2-2-2222-22-22-200000000002-2-2200−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2000000000000000000000000
χ322-222-2-2-22000022-2-22-2-2-2222-22-22-200000000002-2-2200i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2000000000000000000000000
χ332-222-2-2-22000022-2-22-2-2-2222-22-22-20000000000-222-200−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2000000000000000000000000
χ342-222-2-2-22000022-2-22-2-2-2222-22-22-20000000000-222-200i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2000000000000000000000000
χ352-22-222-2-22-2-2222-2-2-22-2-222-22-22-222-2-222-2-2200000000−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2000000000000000000000000
χ362-22-222-2-22-2-2222-2-2-22-2-222-22-22-222-2-222-2-2200000000i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2000000000000000000000000
χ372-22-222-2-2-222-222-2-2-22-2-222-22-22-22-222-2-222-200000000−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2000000000000000000000000
χ382-22-222-2-2-222-222-2-2-22-2-222-22-22-22-222-2-222-200000000i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2000000000000000000000000
χ392-2-222-22-22i2i−2i−2i222222-2-2-2-2-2-222-2-22i2i−2i−2i2i2i−2i−2i-22−2i−2i2i2i-220000000000000000000000000000000000000000
χ402-2-222-22-2−2i−2i2i2i222222-2-2-2-2-2-222-2-2−2i−2i2i2i−2i−2i2i2i-222i2i−2i−2i-220000000000000000000000000000000000000000
χ412-2-2-2-222200002222-2-2-2-2-2-222-2-22200000000220000-2-2000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ422-2-2-2-222200002222-2-2-2-2-2-222-2-22200000000220000-2-200000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ432-2-2-2-222200002222-2-2-2-2-2-222-2-22200000000-2-200002222-2-2-2-22200000000000000000000000000000000
χ442-2-2-2-222200002222-2-2-2-2-2-222-2-22200000000-2-2000022-2-22222-2-200000000000000000000000000000000
χ454444444444441-21-21-21-21-21-2-21-21-2-2-2-2111100000000000000000000000022002200-1-1-1-100000000-1-1-1-1
χ464444444444441-21-21-21-21-21-2-21-21-2-2-2-21111000000000000000000000000-2-200-2-2001111000000001111
χ47444444444444-21-21-21-21-21-211-21-21111-2-2-2-2000000000000000000000000002200220000-1-1-1-1-1-1-1-10000
χ48444444444444-21-21-21-21-21-211-21-21111-2-2-2-200000000000000000000000000-2-200-2-20000111111110000
χ4944444444-4-4-4-41-21-21-21-21-21-2-21-212222-1-1-1-10000000000000000000000002200-2-200-1-1-1-1000000001111
χ5044444444-4-4-4-41-21-21-21-21-21-2-21-212222-1-1-1-1000000000000000000000000-2-2002200111100000000-1-1-1-1
χ5144444444-4-4-4-4-21-21-21-21-21-211-21-2-1-1-1-12222000000000000000000000000002200-2-20000-1-1-1-111110000
χ5244444444-4-4-4-4-21-21-21-21-21-211-21-2-1-1-1-1222200000000000000000000000000-2-2002200001111-1-1-1-10000
χ5344-4-44-4-444i−4i4i−4i1-2-12-1-21-2-121221-2-1−2i2i−2i2ii−ii−i00000000000000000000000000000000−i3i3−i3i3000000003−33−3
χ5444-4-44-4-444i−4i4i−4i1-2-12-1-21-2-121221-2-1−2i2i−2i2ii−ii−i00000000000000000000000000000000i3−i3i3−i300000000−33−33
χ5544-4-44-4-444i−4i4i−4i-212-121-212-1-2-1-1-212i−ii−i−2i2i−2i2i0000000000000000000000000000000000003−33−3−i3i3−i3i30000
χ5644-4-44-4-444i−4i4i−4i-212-121-212-1-2-1-1-212i−ii−i−2i2i−2i2i000000000000000000000000000000000000−33−33i3−i3i3−i30000
χ5744-4-44-4-44−4i4i−4i4i1-2-12-1-21-2-121221-2-12i−2i2i−2i−ii−ii00000000000000000000000000000000−i3i3−i3i300000000−33−33
χ5844-4-44-4-44−4i4i−4i4i1-2-12-1-21-2-121221-2-12i−2i2i−2i−ii−ii00000000000000000000000000000000i3−i3i3−i3000000003−33−3
χ5944-4-44-4-44−4i4i−4i4i-212-121-212-1-2-1-1-212−ii−ii2i−2i2i−2i0000000000000000000000000000000000003−33−3i3−i3i3−i30000
χ6044-4-44-4-44−4i4i−4i4i-212-121-212-1-2-1-1-212−ii−ii2i−2i2i−2i000000000000000000000000000000000000−33−33−i3i3−i3i30000
χ614-44-444-4-44-4-441-2-12-1-2-121-2-1-22121-222-21-1-1100000000000000000000000000000000−i3i3i3−i300000000−i3i3i3−i3
χ624-44-444-4-44-4-441-2-12-1-2-121-2-1-22121-222-21-1-1100000000000000000000000000000000i3−i3−i3i300000000i3−i3−i3i3
χ634-44-444-4-44-4-44-212-1212-1-2121-1-2-1-21-1-11-222-20000000000000000000000000000000000003−3−33−333−30000
χ644-44-444-4-44-4-44-212-1212-1-2121-1-2-1-21-1-11-222-2000000000000000000000000000000000000−333−33−3−330000
χ654-44-444-4-4-444-41-2-12-1-2-121-2-1-221212-2-22-111-100000000000000000000000000000000−i3i3i3−i300000000i3−i3−i3i3
χ664-44-444-4-4-444-41-2-12-1-2-121-2-1-221212-2-22-111-100000000000000000000000000000000i3−i3−i3i300000000−i3i3i3−i3
χ674-44-444-4-4-444-4-212-1212-1-2121-1-2-1-2-111-12-2-220000000000000000000000000000000000003−3−333−3−330000
χ684-44-444-4-4-444-4-212-1212-1-2121-1-2-1-2-111-12-2-22000000000000000000000000000000000000−333−3−333−30000
χ694-4-444-44-44i4i−4i−4i1-21-21-2-12-12-12-212-1−2i−2i2i2iii−i−i0000000000000000000000002-2002i−2i00-1-11100000000−i−iii
χ704-4-444-44-44i4i−4i−4i1-21-21-2-12-12-12-212-1−2i−2i2i2iii−i−i000000000000000000000000-2200−2i2i0011-1-100000000ii−i−i
χ714-4-444-44-44i4i−4i−4i-21-21-212-12-12-11-2-12ii−i−i−2i−2i2i2i000000000000000000000000002-2002i−2i0000-1-111−i−iii0000
χ724-4-444-44-44i4i−4i−4i-21-21-212-12-12-11-2-12ii−i−i−2i−2i2i2i00000000000000000000000000-2200−2i2i000011-1-1ii−i−i0000
χ734-4-444-44-4−4i−4i4i4i1-21-21-2-12-12-12-212-12i2i−2i−2i−i−iii0000000000000000000000002-200−2i2i00-1-11100000000ii−i−i
χ744-4-444-44-4−4i−4i4i4i1-21-21-2-12-12-12-212-12i2i−2i−2i−i−iii000000000000000000000000-22002i−2i0011-1-100000000−i−iii
χ754-4-444-44-4−4i−4i4i4i-21-21-212-12-12-11-2-12−i−iii2i2i−2i−2i000000000000000000000000002-200−2i2i0000-1-111ii−i−i0000
χ764-4-444-44-4−4i−4i4i4i-21-21-212-12-12-11-2-12−i−iii2i2i−2i−2i00000000000000000000000000-22002i−2i000011-1-1−i−iii0000
χ77888-8-8-88-800002-42-4-242-42-4-244-24-200000000000000000000000000000000000000000000000000000000
χ78888-8-8-88-80000-42-424-2-42-424-2-24-2400000000000000000000000000000000000000000000000000000000
χ7988-88-88-8-800002-4-24242-4-24-2-4-4-24200000000000000000000000000000000000000000000000000000000
χ8088-88-88-8-80000-424-2-4-2-424-24224-2-400000000000000000000000000000000000000000000000000000000
χ818-888-8-8-8800002-4-2424-242-424-4-2-4-200000000000000000000000000000000000000000000000000000000
χ828-888-8-8-880000-424-2-4-24-2-42-4-2242400000000000000000000000000000000000000000000000000000000
χ838-8-8-8-888800002-42-4-24-24-242-44-2-4200000000000000000000000000000000000000000000000000000000
χ848-8-8-8-88880000-42-424-24-24-2-42-242-400000000000000000000000000000000000000000000000000000000

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