Finite Group Databasebeta

← Group #11921968

Character table — Group #11921968

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222223333333344666666668888888899991212121212121212121216161616161616161818242424242424242424242424242424243636363636363636
order1222344666222244441212444466663666121212124444444444441212366612121212441212121212121212121212121212121222444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ311111111111111-1-1-1-11111-1-1111111111111-1-1-1-1111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111-1-111111111111-1-1-1-1-1-111111111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1
χ611111-1-111111111111-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-111-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-111
χ711111-1-11111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-111
χ811111-1-11111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-11111-1-1
χ91-11-11i−i-11-11-11-111-1-1i−ii−ii−i1-11-11-11-1ii−i−i11-1-1i−i1-1i−i1-1i−i11-1-1ii−i−ii−i1-1i−ii−i1-111-1-1ii−i−i1-1i−ii−i1-1
χ101-11-11i−i-11-11-11-111-1-1i−ii−ii−i1-11-11-11-1ii−i−i11-1-1−ii-11−ii-11i−i11-1-1ii−i−ii−i-11−ii−ii-1111-1-1ii−i−i-11−ii−ii-11
χ111-11-11i−i-11-11-11-1-1-111i−ii−i−ii1-11-11-11-1ii−i−i-1-111i−i1-1i−i1-1i−i11-1-1ii−i−i−ii1-1i−ii−i1-1-1-111−i−iii-11−ii−ii-11
χ121-11-11i−i-11-11-11-1-1-111i−ii−i−ii1-11-11-11-1ii−i−i-1-111−ii-11−ii-11i−i11-1-1ii−i−i−ii-11−ii−ii-11-1-111−i−iii1-1i−ii−i1-1
χ131-11-11−ii-11-11-11-111-1-1−ii−ii−ii1-11-11-11-1−i−iii11-1-1i−i-11i−i-11−ii11-1-1−i−iii−ii-11i−ii−i-1111-1-1−i−iii-11i−ii−i-11
χ141-11-11−ii-11-11-11-111-1-1−ii−ii−ii1-11-11-11-1−i−iii11-1-1−ii1-1−ii1-1−ii11-1-1−i−iii−ii1-1−ii−ii1-111-1-1−i−iii1-1−ii−ii1-1
χ151-11-11−ii-11-11-11-1-1-111−ii−iii−i1-11-11-11-1−i−iii-1-111i−i-11i−i-11−ii11-1-1−i−iiii−i-11i−ii−i-11-1-111ii−i−i1-1−ii−ii1-1
χ161-11-11−ii-11-11-11-1-1-111−ii−iii−i1-11-11-11-1−i−iii-1-111−ii1-1−ii1-1−ii11-1-1−i−iiii−i1-1−ii−ii1-1-1-111ii−i−i-11i−ii−i-11
χ172222222222222222222222222222-1-1-1-1-1-1-1-122220000000022-1-1-1-1-1-1-1-12200000000-1-1-1-1-1-1-1-100000000
χ1822222222222222-2-2-2-22222-2-22222-1-1-1-1-1-1-1-1-2-2-2-20000000022-1-1-1-1-1-1-1-1-2-2000000001111111100000000
χ1922222-2-222222222222-2-2-2-2-2-22222-1-1-1-11111222200000000-2-2-1-1-1-11111-2-200000000-1-1-1-1111100000000
χ2022222-2-22222222-2-2-2-2-2-2-2-2222222-1-1-1-11111-2-2-2-200000000-2-2-1-1-1-1111122000000001111-1-1-1-100000000
χ212222-122-1-1-122220000-1-12200-1-1-1-122222222000022222222-1-1-1-1-1-1-1-1-1-100-1-1-1-1-1-1-1-10000000000000000
χ222222-122-1-1-122220000-1-12200-1-1-1-1222222220000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-100111111110000000000000000
χ232222-1-2-2-1-1-12222000011-2-200-1-1-1-12222-2-2-2-2000022-2-222-2-211-1-1-1-111110011-1-1-1-1110000000000000000
χ242222-1-2-2-1-1-12222000011-2-200-1-1-1-12222-2-2-2-20000-2-222-2-22211-1-1-1-1111100-1-11111-1-10000000000000000
χ2522-2-2200-2-22-222-22i−2i2i−2i0000002-2-2222-2-200002i−2i2i−2i00000000002-2-22000000000000002i−2i2i−2i000000000000
χ2622-2-2200-2-22-222-22i−2i2i−2i0000002-2-22-1-111−i3i3−i3i32i−2i2i−2i0000000000-111-1−i3i3−i3i30000000000−ii−ii3−33−300000000
χ2722-2-2200-2-22-222-22i−2i2i−2i0000002-2-22-1-111i3−i3i3−i32i−2i2i−2i0000000000-111-1i3−i3i3−i30000000000−ii−ii−33−3300000000
χ2822-2-2200-2-22-222-2−2i2i−2i2i0000002-2-2222-2-20000−2i2i−2i2i00000000002-2-2200000000000000−2i2i−2i2i000000000000
χ2922-2-2200-2-22-222-2−2i2i−2i2i0000002-2-22-1-111−i3i3−i3i3−2i2i−2i2i0000000000-111-1−i3i3−i3i30000000000i−ii−i−33−3300000000
χ3022-2-2200-2-22-222-2−2i2i−2i2i0000002-2-22-1-111i3−i3i3−i3−2i2i−2i2i0000000000-111-1i3−i3i3−i30000000000i−ii−i3−33−300000000
χ312-22-222i−2i-22-22-22-222-2-22i−2i2i−2i2i−2i2-22-2-11-11−i−iii22-2-2000000002i−2i-1-111−i−iii2i−2i00000000-1-111−i−iii00000000
χ322-22-222i−2i-22-22-22-2-2-2222i−2i2i−2i−2i2i2-22-2-11-11−i−iii-2-222000000002i−2i-1-111−i−iii−2i2i0000000011-1-1ii−i−i00000000
χ332-22-22−2i2i-22-22-22-222-2-2−2i2i−2i2i−2i2i2-22-2-11-11ii−i−i22-2-200000000−2i2i-1-111ii−i−i−2i2i00000000-1-111ii−i−i00000000
χ342-22-22−2i2i-22-22-22-2-2-222−2i2i−2i2i2i−2i2-22-2-11-11ii−i−i-2-22200000000−2i2i-1-111ii−i−i2i−2i0000000011-1-1−i−iii00000000
χ352-22-2-12i−2i1-112-22-20000−ii2i−2i00-11-112-22-22i2i−2i−2i00002i−2i2-22i−2i2-2−ii-1-111−i−iii00-11−ii−ii-110000000000000000
χ362-22-2-12i−2i1-112-22-20000−ii2i−2i00-11-112-22-22i2i−2i−2i0000−2i2i-22−2i2i-22−ii-1-111−i−iii001-1i−ii−i1-10000000000000000
χ372-22-2-1−2i2i1-112-22-20000i−i−2i2i00-11-112-22-2−2i−2i2i2i00002i−2i-222i−2i-22i−i-1-111ii−i−i001-1−ii−ii1-10000000000000000
χ382-22-2-1−2i2i1-112-22-20000i−i−2i2i00-11-112-22-2−2i−2i2i2i0000−2i2i2-2−2i2i2-2i−i-1-111ii−i−i00-11i−ii−i-110000000000000000
χ392-2-222002-2-2-2-2222i−2i−2i2i00000022-2-22-2-2200002i−2i−2i2i00000000002-22-2000000000000002i−2i−2i2i000000000000
χ402-2-222002-2-2-2-2222i−2i−2i2i00000022-2-2-111-13−3−332i−2i−2i2i0000000000-11-113−3−330000000000−iii−ii3−i3−i3i300000000
χ412-2-222002-2-2-2-2222i−2i−2i2i00000022-2-2-111-1−333−32i−2i−2i2i0000000000-11-11−333−30000000000−iii−i−i3i3i3−i300000000
χ422-2-222002-2-2-2-222−2i2i2i−2i00000022-2-22-2-220000−2i2i2i−2i00000000002-22-200000000000000−2i2i2i−2i000000000000
χ432-2-222002-2-2-2-222−2i2i2i−2i00000022-2-2-111-13−3−33−2i2i2i−2i0000000000-11-113−3−330000000000i−i−ii−i3i3i3−i300000000
χ442-2-222002-2-2-2-222−2i2i2i−2i00000022-2-2-111-1−333−3−2i2i2i−2i0000000000-11-11−333−30000000000i−i−iii3−i3−i3i300000000
χ453333333333-1-1-1-1333333-1-133-1-1-1-100000000-1-1-1-11111-1-1-1-1-1-100000000-1-11111-1-1-1-1000000001111-1-1-1-1
χ463333333333-1-1-1-1333333-1-133-1-1-1-100000000-1-1-1-1-1-1-1-11111-1-100000000-1-1-1-1-1-1111100000000-1-1-1-11111
χ473333333333-1-1-1-1-3-3-3-333-1-1-3-3-1-1-1-10000000011111111-1-1-1-1-1-100000000111111-1-1-1-100000000-1-1-1-11111
χ483333333333-1-1-1-1-3-3-3-333-1-1-3-3-1-1-1-1000000001111-1-1-1-11111-1-10000000011-1-1-1-11111000000001111-1-1-1-1
χ4933333-3-3333-1-1-1-13333-3-311-3-3-1-1-1-100000000-1-1-1-111-1-1-1-111110000000011-1-111-1-11100000000-1-111-1-111
χ5033333-3-3333-1-1-1-13333-3-311-3-3-1-1-1-100000000-1-1-1-1-1-11111-1-111000000001111-1-111-1-10000000011-1-111-1-1
χ5133333-3-3333-1-1-1-1-3-3-3-3-3-31133-1-1-1-100000000111111-1-1-1-1111100000000-1-1-1-111-1-1110000000011-1-111-1-1
χ5233333-3-3333-1-1-1-1-3-3-3-3-3-31133-1-1-1-1000000001111-1-11111-1-11100000000-1-111-1-111-1-100000000-1-111-1-111
χ533-33-333i−3i-33-3-11-1133-3-33i−3i−ii3i−3i-11-1100000000-1-111i−i1-1−ii-11−ii00000000−ii1-1i−i−ii-11000000001-1i−i−ii-11
χ543-33-333i−3i-33-3-11-1133-3-33i−3i−ii3i−3i-11-1100000000-1-111−ii-11i−i1-1−ii00000000−ii-11−iii−i1-100000000-11−iii−i1-1
χ553-33-333i−3i-33-3-11-11-3-3333i−3i−ii−3i3i-11-110000000011-1-1i−i1-1−ii-11−ii00000000i−i1-1i−i−ii-1100000000-11−iii−i1-1
χ563-33-333i−3i-33-3-11-11-3-3333i−3i−ii−3i3i-11-110000000011-1-1−ii-11i−i1-1−ii00000000i−i-11−iii−i1-1000000001-1i−i−ii-11
χ573-33-33−3i3i-33-3-11-1133-3-3−3i3ii−i−3i3i-11-1100000000-1-111i−i-11−ii1-1i−i00000000i−i-11i−i−ii1-100000000-11i−i−ii1-1
χ583-33-33−3i3i-33-3-11-1133-3-3−3i3ii−i−3i3i-11-1100000000-1-111−ii1-1i−i-11i−i00000000i−i1-1−iii−i-11000000001-1−iii−i-11
χ593-33-33−3i3i-33-3-11-11-3-333−3i3ii−i3i−3i-11-110000000011-1-1i−i-11−ii1-1i−i00000000−ii-11i−i−ii1-1000000001-1−iii−i-11
χ603-33-33−3i3i-33-3-11-11-3-333−3i3ii−i3i−3i-11-110000000011-1-1−ii1-1i−i-11i−i00000000−ii1-1−iii−i-1100000000-11i−i−ii1-1
χ614444-244-2-2-244440000-2-24400-2-2-2-2-2-2-2-2-2-2-2-2000000000000-2-21111111100000000000000000000000000
χ624444-2-4-4-2-2-24444000022-4-400-2-2-2-2-2-2-2-22222000000000000221111-1-1-1-100000000000000000000000000
χ6344-4-4-20022-2-444-40000000000-222-244-4-4000000000000000000-222-2000000000000000000000000000000
χ6444-4-4-20022-2-444-40000000000-222-2-2-222−2i32i3−2i32i3000000000000001-1-11i3−i3i3−i300000000000000000000000000
χ6544-4-4-20022-2-444-40000000000-222-2-2-2222i3−2i32i3−2i3000000000000001-1-11−i3i3−i3i300000000000000000000000000
χ664-44-4-24i−4i2-224-44-40000−2i2i4i−4i00-22-22-22-22−2i−2i2i2i000000000000−2i2i11-1-1ii−i−i00000000000000000000000000
χ674-44-4-2−4i4i2-224-44-400002i−2i−4i4i00-22-22-22-222i2i−2i−2i0000000000002i−2i11-1-1−i−iii00000000000000000000000000
χ684-4-44-200-222-4-4440000000000-2-2224-4-44000000000000000000-22-22000000000000000000000000000000
χ694-4-44-200-222-4-4440000000000-2-222-222-223−23−2323000000000000001-11-1−333−300000000000000000000000000
χ704-4-44-200-222-4-4440000000000-2-222-222-2−232323−23000000000000001-11-13−3−3300000000000000000000000000
χ716666-366-3-3-3-2-2-2-20000-3-3-2-20011110000000000002222-2-2-2-2110000000000-1-1-1-111110000000000000000
χ726666-366-3-3-3-2-2-2-20000-3-3-2-2001111000000000000-2-2-2-222221100000000001111-1-1-1-10000000000000000
χ736666-3-6-6-3-3-3-2-2-2-20000332200111100000000000022-2-2-2-222-1-1000000000011-1-111-1-10000000000000000
χ746666-3-6-6-3-3-3-2-2-2-200003322001111000000000000-2-22222-2-2-1-10000000000-1-111-1-1110000000000000000
χ7566-6-6600-6-662-2-226i−6i6i−6i000000-222-200000000−2i2i−2i2i00000000000000000000000000000000000000000000
χ7666-6-6600-6-662-2-22−6i6i−6i6i000000-222-2000000002i−2i2i−2i00000000000000000000000000000000000000000000
χ776-66-6-36i−6i3-33-22-220000−3i3i−2i2i001-11-10000000000002i−2i2-2−2i2i-22i−i0000000000-11−iii−i1-10000000000000000
χ786-66-6-36i−6i3-33-22-220000−3i3i−2i2i001-11-1000000000000−2i2i-222i−2i2-2i−i00000000001-1i−i−ii-110000000000000000
χ796-66-6-3−6i6i3-33-22-2200003i−3i2i−2i001-11-10000000000002i−2i-22−2i2i2-2−ii00000000001-1−iii−i-110000000000000000
χ806-66-6-3−6i6i3-33-22-2200003i−3i2i−2i001-11-1000000000000−2i2i2-22i−2i-22−ii0000000000-11i−i−ii1-10000000000000000
χ816-6-666006-6-622-2-26i−6i−6i6i000000-2-22200000000−2i2i2i−2i00000000000000000000000000000000000000000000
χ826-6-666006-6-622-2-2−6i6i6i−6i000000-2-222000000002i−2i−2i2i00000000000000000000000000000000000000000000
χ831212-12-12-60066-64-4-4400000000002-2-2200000000000000000000000000000000000000000000000000000000
χ8412-12-1212-600-66644-4-4000000000022-2-200000000000000000000000000000000000000000000000000000000

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