Finite Group Databasebeta

← Group #11871288

Character table — Group #11871288

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222224444444444444444444444448888888888888888888818181818242424242424242424242424242424242424242424242424363636363636
order1222334444446666662234466612121212121212121212121212121212666666661212121212121212121212122244224466668888121212122424242424242424224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11-11-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-11-11-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1
χ5111111111111111111-1-11-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1
χ6111111111111111111-1-11-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1
χ7111111111111111111-1-11-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-111-1-1-1-11111-1-1-1-1-1-1111111-1-111
χ8111111111111111111-1-11-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-11111-1-1-1-1111111-1-1-1-111-1-111
χ9111111-1-1-1-111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-111-1-11-1-1111-1-11-11-1-1-11111-1-111-1-1111-1-1-1
χ10111111-1-1-1-111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-111-1-1-111-1-1-111-11-1111-1-1-1-111-1-111111-1-1-1
χ11111111-1-1-1-111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111111-1-11-1-1-1-111-1-1-1-111-1-1-1111
χ12111111-1-1-1-111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-111-11111-1-11111-1-1-1-1-1111
χ13111111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111111-1-11-1-1111-1-1-11-11-1-111-1-111-1-111-1-11-111
χ14111111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-111-1-1-1111-11-111-1-111-1-111-1-1-1-11-111
χ15111111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-11111-1-11111-111-1-1-1-1-1-1-11111-1-111-11-1-1
χ16111111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-111-1-1-1-11-1-11111111-1-1-1-11111-11-1-1
χ1722222222-2-2-2-222222200200222-2-2-2-22222-2-2-2-2-2-2-2-2000000000000-2-222000022-2-200000000000000000000000000-2200
χ1822222222-2-2-2-222222200200222-2-2-2-22222-2-2-2-2-2-2-2-2000000000000-2-2220000-2-222000000000000000000000000002-200
χ19222222-2-222-2-2222222002002222222-2-2-2-22222-2-2-2-2000000000000-2-2-2-20000222200000000000000000000000000-2-200
χ20222222-2-222-2-2222222002002222222-2-2-2-22222-2-2-2-2000000000000-2-2-2-20000-2-2-2-2000000000000000000000000002200
χ2122222-12222222-12-12-122-122-1-1-122-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-10000020200-1-1002200-1-10000-1-1-1-1000000
χ2222222-12222222-12-12-122-122-1-1-122-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-100000-20-2001100-2-2001100001111000000
χ2322222-12222222-12-12-1-2-2-1-2-2-1-1-122-1-122-1-1-1-1-1-122-1-1-2-2111111-2-211-1-1-1-111110000020200-1-100-2-200-1-100001111000000
χ2422222-12222222-12-12-1-2-2-1-2-2-1-1-122-1-122-1-1-1-1-1-122-1-1-2-2111111-2-211-1-1-1-1111100000-20-20011002200110000-1-1-1-1000000
χ2522222-1-2-2-2-2222-12-12-122-1-2-2-1-1-1-2-211-2-211111122-1-122-1-1-1-1-1-1-2-211-1-11111110000020-200-1-100-220011000011-1-1000000
χ2622222-1-2-2-2-2222-12-12-122-1-2-2-1-1-1-2-211-2-211111122-1-122-1-1-1-1-1-1-2-211-1-111111100000-2020011002-200-1-10000-1-111000000
χ2722222-1-2-2-2-2222-12-12-1-2-2-122-1-1-1-2-211-2-211111122-1-1-2-211111122-1-1-1-111-1-1-1-10000020-200-1-1002-200110000-1-111000000
χ2822222-1-2-2-2-2222-12-12-1-2-2-122-1-1-1-2-211-2-211111122-1-1-2-211111122-1-1-1-111-1-1-1-100000-202001100-2200-1-1000011-1-1000000
χ292222-12222222-12-12-1222-122-1-1-1-1-122-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-100002020-1-1002200-1-100-1-1-1-10000000000
χ302222-12222222-12-12-1222-122-1-1-1-1-122-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-10000-20-201100-2-200110011110000000000
χ312222-12222222-12-12-12-2-2-1-2-2-1-1-1-1-122-1-122-1-1-1-1-1-12211-2-2111111-2-2-1-1-1-1111100002020-1-100-2-200-1-10011110000000000
χ322222-12222222-12-12-12-2-2-1-2-2-1-1-1-1-122-1-122-1-1-1-1-1-12211-2-2111111-2-2-1-1-1-111110000-20-20110022001100-1-1-1-10000000000
χ332222-12-2-2-2-222-12-12-1222-1-2-2-1-1-111-2-211-2-21111-1-122-1-122-1-1-1-111-2-2-1-1111111000020-20-1-1002-2001100-1-1110000000000
χ342222-12-2-2-2-222-12-12-1222-1-2-2-1-1-111-2-211-2-21111-1-122-1-122-1-1-1-111-2-2-1-11111110000-20201100-2200-1-10011-1-10000000000
χ352222-12-2-2-2-222-12-12-12-2-2-122-1-1-111-2-211-2-21111-1-12211-2-21111-1-122-1-111-1-1-1-1000020-20-1-100-2200110011-1-10000000000
χ362222-12-2-2-2-222-12-12-12-2-2-122-1-1-111-2-211-2-21111-1-12211-2-21111-1-122-1-111-1-1-1-10000-202011002-200-1-100-1-1110000000000
χ3722-2-2222i−2i2i−2i2-222-2-2-2-2002002-2-22i−2i2i−2i2i−2i2i−2i2i2i−2i−2i2-22-20000000000002-22i−2i000000000000000000000000000000002-2002i−2i
χ3822-2-2222i−2i2i−2i2-222-2-2-2-2002002-2-22i−2i2i−2i2i−2i2i−2i2i2i−2i−2i2-22-20000000000002-22i−2i00000000000000000000000000000000-2200−2i2i
χ3922-2-2222i−2i−2i2i-2222-2-2-2-22-222i−2i2-2-2−2i2i−2i2i2i−2i2i−2i−2i−2i2i2i-22-222-22-222-2-22i−2i2i−2i-222i−2i2i2i−2i−2i0000000000000000000000000000000000
χ4022-2-2222i−2i−2i2i-2222-2-2-2-2-222−2i2i2-2-2−2i2i−2i2i2i−2i2i−2i−2i−2i2i2i-22-22-22-22-2-222−2i2i−2i2i-222i−2i−2i−2i2i2i0000000000000000000000000000000000
χ4122-2-222−2i2i2i−2i-2222-2-2-2-22-22−2i2i2-2-22i−2i2i−2i−2i2i−2i2i2i2i−2i−2i-22-222-22-222-2-2−2i2i−2i2i-22−2i2i−2i−2i2i2i0000000000000000000000000000000000
χ4222-2-222−2i2i2i−2i-2222-2-2-2-2-2222i−2i2-2-22i−2i2i−2i−2i2i−2i2i2i2i−2i−2i-22-22-22-22-2-2222i−2i2i−2i-22−2i2i2i2i−2i−2i0000000000000000000000000000000000
χ4322-2-222−2i2i−2i2i2-222-2-2-2-2002002-2-2−2i2i−2i2i−2i2i−2i2i−2i−2i2i2i2-22-20000000000002-2−2i2i000000000000000000000000000000002-200−2i2i
χ4422-2-222−2i2i−2i2i2-222-2-2-2-2002002-2-2−2i2i−2i2i−2i2i−2i2i−2i−2i2i2i2-22-20000000000002-2−2i2i00000000000000000000000000000000-22002i−2i
χ4522-2-22-12i−2i−2i2i-222-1-21-212-2-12i−2i-111−2i2ii−i2i−2i−iiii−i−i-221-12-2-11-1-1112i−2i−ii1-1−ii−i−iii0000000000−i3i30000003−300003−3−i3i3000000
χ4622-2-22-12i−2i−2i2i-222-1-21-212-2-12i−2i-111−2i2ii−i2i−2i−iiii−i−i-221-12-2-11-1-1112i−2i−ii1-1−ii−i−iii0000000000i3−i3000000−330000−33i3−i3000000
χ4722-2-22-12i−2i−2i2i-222-1-21-21-22-1−2i2i-111−2i2ii−i2i−2i−iiii−i−i-221-1-221-111-1-1−2i2ii−i1-1−iiii−i−i0000000000−i3i30000003−30000−33i3−i3000000
χ4822-2-22-12i−2i−2i2i-222-1-21-21-22-1−2i2i-111−2i2ii−i2i−2i−iiii−i−i-221-1-221-111-1-1−2i2ii−i1-1−iiii−i−i0000000000i3−i3000000−3300003−3−i3i3000000
χ4922-2-22-1−2i2i2i−2i-222-1-21-212-2-1−2i2i-1112i−2i−ii−2i2ii−i−i−iii-221-12-2-11-1-111−2i2ii−i1-1i−iii−i−i0000000000−i3i3000000−330000−33−i3i3000000
χ5022-2-22-1−2i2i2i−2i-222-1-21-212-2-1−2i2i-1112i−2i−ii−2i2ii−i−i−iii-221-12-2-11-1-111−2i2ii−i1-1i−iii−i−i0000000000i3−i30000003−300003−3i3−i3000000
χ5122-2-22-1−2i2i2i−2i-222-1-21-21-22-12i−2i-1112i−2i−ii−2i2ii−i−i−iii-221-1-221-111-1-12i−2i−ii1-1i−i−i−iii0000000000−i3i3000000−3300003−3i3−i3000000
χ5222-2-22-1−2i2i2i−2i-222-1-21-21-22-12i−2i-1112i−2i−ii−2i2ii−i−i−iii-221-1-221-111-1-12i−2i−ii1-1i−i−i−iii0000000000i3−i30000003−30000−33−i3i3000000
χ5322-2-2-122i−2i−2i2i-22-121-21-22-2-12i−2i-111i−i−2i2i−ii2i−2iii−i−i1-1-22-112-2-1-111−ii2i−2i1-1−ii−i−iii00000000−i3i30000003−300−i3i33−30000000000
χ5422-2-2-122i−2i−2i2i-22-121-21-22-2-12i−2i-111i−i−2i2i−ii2i−2iii−i−i1-1-22-112-2-1-111−ii2i−2i1-1−ii−i−iii00000000i3−i3000000−3300i3−i3−330000000000
χ5522-2-2-122i−2i−2i2i-22-121-21-2-22-1−2i2i-111i−i−2i2i−ii2i−2iii−i−i1-1-221-1-2211-1-1i−i−2i2i1-1−iiii−i−i00000000−i3i30000003−300i3−i3−330000000000
χ5622-2-2-122i−2i−2i2i-22-121-21-2-22-1−2i2i-111i−i−2i2i−ii2i−2iii−i−i1-1-221-1-2211-1-1i−i−2i2i1-1−iiii−i−i00000000i3−i3000000−3300−i3i33−30000000000
χ5722-2-2-12−2i2i2i−2i-22-121-21-22-2-1−2i2i-111−ii2i−2ii−i−2i2i−i−iii1-1-22-112-2-1-111i−i−2i2i1-1i−iii−i−i00000000−i3i3000000−3300−i3i3−330000000000
χ5822-2-2-12−2i2i2i−2i-22-121-21-22-2-1−2i2i-111−ii2i−2ii−i−2i2i−i−iii1-1-22-112-2-1-111i−i−2i2i1-1i−iii−i−i00000000i3−i30000003−300i3−i33−30000000000
χ5922-2-2-12−2i2i2i−2i-22-121-21-2-22-12i−2i-111−ii2i−2ii−i−2i2i−i−iii1-1-221-1-2211-1-1−ii2i−2i1-1i−i−i−iii00000000−i3i3000000−3300i3−i33−30000000000
χ6022-2-2-12−2i2i2i−2i-22-121-21-2-22-12i−2i-111−ii2i−2ii−i−2i2i−i−iii1-1-221-1-2211-1-1−ii2i−2i1-1i−i−i−iii00000000i3−i30000003−300−i3i3−330000000000
χ6144444-244-4-4-4-44-24-24-200-200-2-2-2-4-42244-2-22222-4-42200000000000022-2-200000000000000000000000000000000000000
χ6244444-2-4-444-4-44-24-24-200-200-2-2-244-2-2-4-422-2-2-2-2-4-422000000000000222200000000000000000000000000000000000000
χ634444-2444-4-4-4-4-24-24-2400-200-2-2-222-4-4-2-244222222-4-400000000000022-2-200000000000000000000000000000000000000
χ644444-24-4-444-4-4-24-24-2400-200-2-2-2-2-24422-4-4-2-2-2-222-4-4000000000000222200000000000000000000000000000000000000
χ654444-2-2444444-2-2-2-2-2-244144111-2-2-2-2-2-2-2-21111-2-2-2-2-2-2-2-21111-2-2-2-2111111110000000000000000000000000000000000
χ664444-2-2444444-2-2-2-2-2-2-4-41-4-4111-2-2-2-2-2-2-2-21111-2-2-2-22222-1-1-1-122221111-1-1-1-10000000000000000000000000000000000
χ674444-2-244-4-4-4-4-2-2-2-2-2-2001001112222-2-2-2-2-1-1-1-1222200003-33-30000-1-1113-33-30000000000000000000000000000000000
χ684444-2-244-4-4-4-4-2-2-2-2-2-2001001112222-2-2-2-2-1-1-1-122220000-33-330000-1-111-33-330000000000000000000000000000000000
χ694444-2-2-4-444-4-4-2-2-2-2-2-200100111-2-2-2-222221111222200003-33-30000-1-1-1-1-33-330000000000000000000000000000000000
χ704444-2-2-4-444-4-4-2-2-2-2-2-200100111-2-2-2-22222111122220000-33-330000-1-1-1-13-33-30000000000000000000000000000000000
χ714444-2-2-4-4-4-444-2-2-2-2-2-2441-4-411122222222-1-1-1-1-2-2-2-2-2-2-2-21111222211-1-1-1-1-1-10000000000000000000000000000000000
χ724444-2-2-4-4-4-444-2-2-2-2-2-2-4-414411122222222-1-1-1-1-2-2-2-22222-1-1-1-1-2-2-2-211-1-111110000000000000000000000000000000000
χ7344-4-44-24i−4i4i−4i4-44-2-42-4200-200-2224i−4i−2i2i4i−4i−2i2i−2i−2i2i2i4-4-22000000000000-22−2i2i00000000000000000000000000000000000000
χ7444-4-44-2−4i4i−4i4i4-44-2-42-4200-200-222−4i4i2i−2i−4i4i2i−2i2i2i−2i−2i4-4-22000000000000-222i−2i00000000000000000000000000000000000000
χ7544-4-4-244i−4i4i−4i4-4-242-42-400-200-222−2i2i4i−4i−2i2i4i−4i−2i−2i2i2i-224-4000000000000-22−2i2i00000000000000000000000000000000000000
χ7644-4-4-24−4i4i−4i4i4-4-242-42-400-200-2222i−2i−4i4i2i−2i−4i4i2i2i−2i−2i-224-4000000000000-222i−2i00000000000000000000000000000000000000
χ7744-4-4-2-24i−4i4i−4i4-4-2-22222001001-1-1−2i2i−2i2i−2i2i−2i2iii−i−i-22-2200003-3-3300001-1i−i3i−3i−3i3i0000000000000000000000000000000000
χ7844-4-4-2-24i−4i4i−4i4-4-2-22222001001-1-1−2i2i−2i2i−2i2i−2i2iii−i−i-22-220000-333-300001-1i−i−3i3i3i−3i0000000000000000000000000000000000
χ7944-4-4-2-24i−4i−4i4i-44-2-222224-414i−4i1-1-12i−2i2i−2i−2i2i−2i2i−i−iii2-22-2-22-2211-1-1−2i2i−2i2i-11i−iii−i−i0000000000000000000000000000000000
χ8044-4-4-2-24i−4i−4i4i-44-2-22222-441−4i4i1-1-12i−2i2i−2i−2i2i−2i2i−i−iii2-22-22-22-2-1-1112i−2i2i−2i-11i−i−i−iii0000000000000000000000000000000000
χ8144-4-4-2-2−4i4i4i−4i-44-2-222224-41−4i4i1-1-1−2i2i−2i2i2i−2i2i−2iii−i−i2-22-2-22-2211-1-12i−2i2i−2i-11−ii−i−iii0000000000000000000000000000000000
χ8244-4-4-2-2−4i4i4i−4i-44-2-22222-4414i−4i1-1-1−2i2i−2i2i2i−2i2i−2iii−i−i2-22-22-22-2-1-111−2i2i−2i2i-11−iiii−i−i0000000000000000000000000000000000
χ8344-4-4-2-2−4i4i−4i4i4-4-2-22222001001-1-12i−2i2i−2i2i−2i2i−2i−i−iii-22-2200003-3-3300001-1−ii−3i3i3i−3i0000000000000000000000000000000000
χ8444-4-4-2-2−4i4i−4i4i4-4-2-22222001001-1-12i−2i2i−2i2i−2i2i−2i−i−iii-22-220000-333-300001-1−ii3i−3i−3i3i0000000000000000000000000000000000
χ854-44-444000000-4-4-4-44400400-44-40000000000000000000000000000000000004-400000000000000000000000000000000
χ864-44-444000000-4-4-4-44400400-44-4000000000000000000000000000000000000-4400000000000000000000000000000000
χ874-4-4444000000-4-444-4-400400-4-44000000000000000000000000000000000000004-4000000000000000000000000000000
χ884-4-4444000000-4-444-4-400400-4-4400000000000000000000000000000000000000-44000000000000000000000000000000
χ898-88-88-4000000-84-848-400-4004-440000000000000000000000000000000000000000000000000000000000000000000000
χ908-88-8-480000004-84-8-4800-4004-440000000000000000000000000000000000000000000000000000000000000000000000
χ918-88-8-4-40000004444-4-400200-22-2000000006i−6i6i−6i0000000000000000000000000000000000000000000000000000000000
χ928-88-8-4-40000004444-4-400200-22-200000000−6i6i−6i6i0000000000000000000000000000000000000000000000000000000000
χ938-8-888-4000000-848-4-8400-40044-40000000000000000000000000000000000000000000000000000000000000000000000
χ948-8-88-480000004-8-484-800-40044-40000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-400000044-4-44400200-2-22000000006-6-660000000000000000000000000000000000000000000000000000000000
χ968-8-88-4-400000044-4-44400200-2-2200000000-666-60000000000000000000000000000000000000000000000000000000000

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