Finite Group Databasebeta

← Group #11789720

Character table — Group #11789720

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222224444444444444444444444448888888888888888888818181818242424242424242424242424242424242424242424242424363636363636
order1244222334446612121212366666666688881212121212121212121266121224242424242424242424242424242424444424446688881212121212122424242424242424448888
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
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ51111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-1-1-11111-1-1-1-111-1-1-1-1
χ61111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1
χ71111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-11111
χ911-1-11-1-111-11111-1-1-1-111-11-1-1-1-11-111-1-11-1-1-1-1111111-11-111111111-1-1-1-1-1-1-1-1ii−i−i1-1i−i11i−i1-1-1-1ii−i−iii−i−i11-1-1i−iii−i−i
χ1011-1-11-1-111-11111-1-1-1-111-11-1-1-1-11-111-1-11-1-1-1-1111111-11-111111111-1-1-1-1-1-1-1-1ii−i−i-11−ii-1-1−ii-1111−i−iii−i−iii-1-111i−iii−i−i
χ1111-1-11-1-111-11111-1-1-1-111-11-1-1-1-11-111-1-11-1-1-1-1111111-11-111111111-1-1-1-1-1-1-1-1−i−iii1-1−ii11−ii1-1-1-1−i−iii−i−iii11-1-1−ii−i−iii
χ1211-1-11-1-111-11111-1-1-1-111-11-1-1-1-11-111-1-11-1-1-1-1111111-11-111111111-1-1-1-1-1-1-1-1−i−iii-11i−i-1-1i−i-1111ii−i−iii−i−i-1-111−ii−i−iii
χ1311-1-11-1-111-11111-1-1-1-111-11-1-1-1-11-1-1-1111-1-1-1-1111111-11-1-1-1-1-1-1-1-1-111111111ii−i−i1-1−ii11i−i-11-1-1−i−iiiii−i−i-1-111i−i−i−iii
χ1411-1-11-1-111-11111-1-1-1-111-11-1-1-1-11-1-1-1111-1-1-1-1111111-11-1-1-1-1-1-1-1-1-111111111ii−i−i-11i−i-1-1−ii1-111ii−i−i−i−iii11-1-1i−i−i−iii
χ1511-1-11-1-111-11111-1-1-1-111-11-1-1-1-11-1-1-1111-1-1-1-1111111-11-1-1-1-1-1-1-1-1-111111111−i−iii1-1i−i11−ii-11-1-1ii−i−i−i−iii-1-111−iiii−i−i
χ1611-1-11-1-111-11111-1-1-1-111-11-1-1-1-11-1-1-1111-1-1-1-1111111-11-1-1-1-1-1-1-1-1-111111111−i−iii-11−ii-1-1i−i1-111−i−iiiii−i−i11-1-1−iiii−i−i
χ1722222222-12222-1-1-122-122-1-1-1-1-1-12222222-1-1-12-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100002200-1-10022-1-100000000-1-1-1-1000000
χ1822222222-12222-1-1-122-122-1-1-1-1-1-12222222-1-1-12-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000-2-2001100-2-211000000001111000000
χ1922222222-12222-1-1-122-122-1-1-1-1-1-12-2-2-2-222-1-1-12-1-1-1-1-1-1-1-1-2-2111111-2-211111100002200-1-100-2-2-1-1000000001111000000
χ2022222222-12222-1-1-122-122-1-1-1-1-1-12-2-2-2-222-1-1-12-1-1-1-1-1-1-1-1-2-2111111-2-21111110000-2-2001100221100000000-1-1-1-1000000
χ212222222-12222-1222-1-1-1-1-1222-1-1-1-12222-1-12-1-1-12-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000002200220000-1-1-1-1-1-1-1-10000000000
χ222222222-12222-1222-1-1-1-1-1222-1-1-1-12222-1-12-1-1-12-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000-2-200-2-20000111111110000000000
χ232222222-12222-1222-1-1-1-1-1222-1-1-1-1-2-2-2-2-1-12-1-1-12-1-12-1-1-1-111-2-2111111-2-211110000002200-2-20000-1-1-1-111110000000000
χ242222222-12222-1222-1-1-1-1-1222-1-1-1-1-2-2-2-2-1-12-1-1-12-1-12-1-1-1-111-2-2111111-2-21111000000-2-2002200001111-1-1-1-10000000000
χ2522222-2-2222-2-222222222-22-2-2-2-22-22i−2i2i−2i-22222-2-2-2-2-22-2-222i−2i2i−2i2i2i−2i−2i2i−2i2i−2i2i2i−2i−2i0000000000000000000000000000000000
χ2622222-2-2222-2-222222222-22-2-2-2-22-2−2i2i−2i2i-22222-2-2-2-2-22-2-22−2i2i−2i2i−2i−2i2i2i−2i2i−2i2i−2i−2i2i2i0000000000000000000000000000000000
χ2722222-2-22-12-2-22-1-1-122-12-2-11111-1-22i−2i2i−2i-22-1-1-1-21111-111-12i−2i−ii−i−iii2i−2i−ii−i−iii00000000−i3i30000−i3i3000000003−33−3000000
χ2822222-2-22-12-2-22-1-1-122-12-2-11111-1-22i−2i2i−2i-22-1-1-1-21111-111-12i−2i−ii−i−iii2i−2i−ii−i−iii00000000i3−i30000i3−i300000000−33−33000000
χ2922222-2-22-12-2-22-1-1-122-12-2-11111-1-2−2i2i−2i2i-22-1-1-1-21111-111-1−2i2ii−iii−i−i−2i2ii−iii−i−i00000000−i3i30000−i3i300000000−33−33000000
χ3022222-2-22-12-2-22-1-1-122-12-2-11111-1-2−2i2i−2i2i-22-1-1-1-21111-111-1−2i2ii−iii−i−i−2i2ii−iii−i−i00000000i3−i30000i3−i3000000003−33−3000000
χ3122222-2-2-122-2-2-1222-1-1-1-112-2-211-112i−2i2i−2i1-12-1-11-211-2-111-1−ii2i−2i−i−iii−ii2i−2i−i−iii00000000000000003−33−3−i3i3−i3i30000000000
χ3222222-2-2-122-2-2-1222-1-1-1-112-2-211-112i−2i2i−2i1-12-1-11-211-2-111-1−ii2i−2i−i−iii−ii2i−2i−i−iii0000000000000000−33−33i3−i3i3−i30000000000
χ3322222-2-2-122-2-2-1222-1-1-1-112-2-211-11−2i2i−2i2i1-12-1-11-211-2-111-1i−i−2i2iii−i−ii−i−2i2iii−i−i00000000000000003−33−3i3−i3i3−i30000000000
χ3422222-2-2-122-2-2-1222-1-1-1-112-2-211-11−2i2i−2i2i1-12-1-11-211-2-111-1i−i−2i2iii−i−ii−i−2i2iii−i−i0000000000000000−33−33−i3i3−i3i30000000000
χ352222-22-222-2-222222222-2-2-22-2-2-22200002-2-222-2-2-2-22-222-200000000000000000000000000000000000000000000002-22-2
χ362222-22-222-2-222222222-2-2-22-2-2-22200002-2-222-2-2-2-22-222-20000000000000000000000000000000000000000000000-22-22
χ372222-2-2222-22-22222222-22-2-22222-20000-2-2-2222222-2-2-2-2-200000000000000002222000000000000000000000000-2-20000
χ382222-2-2222-22-22222222-22-2-22222-20000-2-2-2222222-2-2-2-2-20000000000000000-2-2-2-2000000000000000000000000220000
χ3922-2-222222-2-2-222-2-2-2-222222222222i−2i−2i2i-2-2-2-2-2-2-2-2-2-222-2-22i−2i2i−2i2i2i−2i−2i−2i2i−2i2i−2i−2i2i2i0000000000000000000000000000000000
χ4022-2-222222-2-2-222-2-2-2-22222222222−2i2i2i−2i-2-2-2-2-2-2-2-2-2-222-2-2−2i2i−2i2i−2i−2i2i2i2i−2i2i−2i2i2i−2i−2i0000000000000000000000000000000000
χ4122-2-22222-1-2-2-22-111-2-2-122-1-1-1-1-1-122i−2i−2i2i-2-2111-21111-1-1112i−2i−ii−i−iii−2i2ii−iii−i−i00000000−i3i30000i3−i3000000003−3−33000000
χ4222-2-22222-1-2-2-22-111-2-2-122-1-1-1-1-1-122i−2i−2i2i-2-2111-21111-1-1112i−2i−ii−i−iii−2i2ii−iii−i−i00000000i3−i30000−i3i300000000−333−3000000
χ4322-2-22222-1-2-2-22-111-2-2-122-1-1-1-1-1-12−2i2i2i−2i-2-2111-21111-1-111−2i2ii−iii−i−i2i−2i−ii−i−iii00000000−i3i30000i3−i300000000−333−3000000
χ4422-2-22222-1-2-2-22-111-2-2-122-1-1-1-1-1-12−2i2i2i−2i-2-2111-21111-1-111−2i2ii−iii−i−i2i−2i−ii−i−iii00000000i3−i30000−i3i3000000003−3−33000000
χ4522-2-2222-12-2-2-2-12-2-211-1-1-1222-1-1-1-12i−2i−2i2i11-2111-211-2-1-111−ii2i−2i−i−iiii−i−2i2iii−i−i0000000000000000−i3i3i3−i3−333−30000000000
χ4622-2-2222-12-2-2-2-12-2-211-1-1-1222-1-1-1-12i−2i−2i2i11-2111-211-2-1-111−ii2i−2i−i−iiii−i−2i2iii−i−i0000000000000000i3−i3−i3i33−3−330000000000
χ4722-2-2222-12-2-2-2-12-2-211-1-1-1222-1-1-1-1−2i2i2i−2i11-2111-211-2-1-111i−i−2i2iii−i−i−ii2i−2i−i−iii0000000000000000−i3i3i3−i33−3−330000000000
χ4822-2-2222-12-2-2-2-12-2-211-1-1-1222-1-1-1-1−2i2i2i−2i11-2111-211-2-1-111i−i−2i2iii−i−i−ii2i−2i−i−iii0000000000000000i3−i3−i3i3−333−30000000000
χ4922-2-22-2-22-1-2222-111-2-2-12-2-11111-1-222-2-22-21112-1-1-1-1-11-1122-1-1-1-1-1-1-2-211111100002-200-1-1002-21100000000-1-111000000
χ5022-2-22-2-22-1-2222-111-2-2-12-2-11111-1-222-2-22-21112-1-1-1-1-11-1122-1-1-1-1-1-1-2-21111110000-22001100-22-1-10000000011-1-1000000
χ5122-2-22-2-22-1-2222-111-2-2-12-2-11111-1-2-2-2222-21112-1-1-1-1-11-11-2-211111122-1-1-1-1-1-100002-200-1-100-22110000000011-1-1000000
χ5222-2-22-2-22-1-2222-111-2-2-12-2-11111-1-2-2-2222-21112-1-1-1-1-11-11-2-211111122-1-1-1-1-1-10000-220011002-2-1-100000000-1-111000000
χ5322-2-22-2-2-12-222-12-2-211-1-112-2-211-1122-2-2-11-211-12-1-12-11-11-1-122-1-1-1-111-2-211110000002i−2i002i−2i0000−i−iii−i−iii0000000000
χ5422-2-22-2-2-12-222-12-2-211-1-112-2-211-1122-2-2-11-211-12-1-12-11-11-1-122-1-1-1-111-2-21111000000−2i2i00−2i2i0000ii−i−iii−i−i0000000000
χ5522-2-22-2-2-12-222-12-2-211-1-112-2-211-11-2-222-11-211-12-1-12-11-1111-2-21111-1-122-1-1-1-10000002i−2i00−2i2i0000−i−iiiii−i−i0000000000
χ5622-2-22-2-2-12-222-12-2-211-1-112-2-211-11-2-222-11-211-12-1-12-11-1111-2-21111-1-122-1-1-1-1000000−2i2i002i−2i0000ii−i−i−i−iii0000000000
χ5722-2-2-22-22222-222-2-2-2-22-2-2-22-2-2-2220000-222-2-22222-2-22-2200000000000000002i2i−2i−2i000000000000000000000000−2i2i0000
χ5822-2-2-22-22222-222-2-2-2-22-2-2-22-2-2-2220000-222-2-22222-2-22-220000000000000000−2i−2i2i2i0000000000000000000000002i−2i0000
χ5922-2-2-2-22222-2222-2-2-2-22-22-2-22222-20000222-2-2-2-2-2-22-2-22200000000000000000000000000000000000000000000002i−2i−2i2i
χ6022-2-2-2-22222-2222-2-2-2-22-22-2-22222-20000222-2-2-2-2-2-22-2-2220000000000000000000000000000000000000000000000−2i2i2i−2i
χ614444444-2-2444-2-2-2-2-2-21-2-2-2-2-2111-24444-2-2-211-2-211-21111-2-2-2-21111-2-2-2-211110000000000000000000000000000000000
χ624444444-2-2444-2-2-2-2-2-21-2-2-2-2-2111-2-4-4-4-4-2-2-211-2-211-211112222-1-1-1-12222-1-1-1-10000000000000000000000000000000000
χ6344444-4-4-2-24-4-4-2-2-2-2-2-21-22-222-1-1124i−4i4i−4i2-2-21122-1-121-1-11−2i2i−2i2iii−i−i−2i2i−2i2iii−i−i0000000000000000000000000000000000
χ6444444-4-4-2-24-4-4-2-2-2-2-2-21-22-222-1-112−4i4i−4i4i2-2-21122-1-121-1-112i−2i2i−2i−i−iii2i−2i2i−2i−i−iii0000000000000000000000000000000000
χ654444-44-44-2-4-444-2-2-244-2-4-42-2222-2400004-42-2-2-4222-22-2-2200000000000000000000000000000000000000000000000000
χ664444-44-4-24-4-44-2444-2-2-222-44-422-2-20000-22-4-2-22-42242-2-2200000000000000000000000000000000000000000000000000
χ674444-44-4-2-2-4-44-2-2-2-2-2-21222-22-1-11-20000-2221122-1-1-2-111-100003i−3i3i−3i00003i−3i3i−3i0000000000000000000000000000000000
χ684444-44-4-2-2-4-44-2-2-2-2-2-21222-22-1-11-20000-2221122-1-1-2-111-10000−3i3i−3i3i0000−3i3i−3i3i0000000000000000000000000000000000
χ694444-4-444-2-44-44-2-2-244-2-4422-2-2-2-2-40000-4-42-2-24-2-2-22222200000000000000000000000000000000000000000000000000
χ704444-4-44-24-44-4-2444-2-2-22-2-4-44-2-2-22000022-4-2-2-24-2-2-4222200000000000000000000000000000000000000000000000000
χ714444-4-44-2-2-44-4-2-2-2-2-2-212-222-21112000022211-2-2112-1-1-1-100003-3-3300003-3-330000000000000000000000000000000000
χ724444-4-44-2-2-44-4-2-2-2-2-2-212-222-21112000022211-2-2112-1-1-1-10000-333-30000-333-30000000000000000000000000000000000
χ7344-4-4444-2-2-4-4-4-2-222221-2-2-2-2-2111-24i−4i−4i4i222-1-122-1-1211-1-1−2i2i−2i2iii−i−i2i−2i2i−2i−i−iii0000000000000000000000000000000000
χ7444-4-4444-2-2-4-4-4-2-222221-2-2-2-2-2111-2−4i4i4i−4i222-1-122-1-1211-1-12i−2i2i−2i−i−iii−2i2i−2i2iii−i−i0000000000000000000000000000000000
χ7544-4-44-4-4-2-2-444-2-222221-22-222-1-11244-4-4-222-1-1-2-211-21-11-1-2-2-2-211112222-1-1-1-10000000000000000000000000000000000
χ7644-4-44-4-4-2-2-444-2-222221-22-222-1-112-4-444-222-1-1-2-211-21-11-12222-1-1-1-1-2-2-2-211110000000000000000000000000000000000
χ7744-4-4-44-44-244-44-222-4-4-2-4-42-2222-240000-44-2224-2-2-222-22-200000000000000000000000000000000000000000000000000
χ7844-4-4-44-4-2444-4-24-4-422-222-44-422-2-200002-2422-24-2-2-42-22-200000000000000000000000000000000000000000000000000
χ7944-4-4-44-4-2-244-4-2-222221222-22-1-11-200002-2-2-1-1-2-2112-11-1100003-3-330000-333-30000000000000000000000000000000000
χ8044-4-4-44-4-2-244-4-2-222221222-22-1-11-200002-2-2-1-1-2-2112-11-110000-333-300003-3-330000000000000000000000000000000000
χ8144-4-4-4-444-24-444-222-4-4-2-4422-2-2-2-2-4000044-222-4222-222-2-200000000000000000000000000000000000000000000000000
χ8244-4-4-4-44-244-44-24-4-422-22-2-4-44-2-2-220000-2-24222-422422-2-200000000000000000000000000000000000000000000000000
χ8344-4-4-4-44-2-24-44-2-2222212-222-211120000-2-2-2-1-122-1-1-2-1-11100003i−3i3i−3i0000−3i3i−3i3i0000000000000000000000000000000000
χ8444-4-4-4-44-2-24-44-2-2222212-222-211120000-2-2-2-1-122-1-1-2-1-1110000−3i3i−3i3i00003i−3i3i−3i0000000000000000000000000000000000
χ854-44i−4i00044000-4-44i−4i4i−4i40000000-4000000004i−4i00000000000000000000000002+2i−2−2i2−2i−2+2i000000000000000000000000000000
χ864-44i−4i00044000-4-44i−4i4i−4i40000000-4000000004i−4i0000000000000000000000000−2−2i2+2i−2+2i2−2i000000000000000000000000000000
χ874-4−4i4i00044000-4-4−4i4i−4i4i40000000-400000000−4i4i00000000000000000000000002−2i−2+2i2+2i−2−2i000000000000000000000000000000
χ884-4−4i4i00044000-4-4−4i4i−4i4i40000000-400000000−4i4i0000000000000000000000000−2+2i2−2i−2−2i2+2i000000000000000000000000000000
χ898-88i−8i0008-4000-84−4i4i8i−8i-40000000400000000−4i4i00000000000000000000000000000000000000000000000000000000000
χ908-88i−8i000-480004-88i−8i−4i4i-40000000400000000−4i4i00000000000000000000000000000000000000000000000000000000000
χ918-88i−8i000-4-400044−4i4i−4i4i2000006-6-2000000002i−2i006i−6i0000000000000000000000000000000000000000000000000000000
χ928-88i−8i000-4-400044−4i4i−4i4i200000-66-2000000002i−2i00−6i6i0000000000000000000000000000000000000000000000000000000
χ938-8−8i8i0008-4000-844i−4i−8i8i-400000004000000004i−4i00000000000000000000000000000000000000000000000000000000000
χ948-8−8i8i000-480004-8−8i8i4i−4i-400000004000000004i−4i00000000000000000000000000000000000000000000000000000000000
χ958-8−8i8i000-4-4000444i−4i4i−4i2000006-6-200000000−2i2i00−6i6i0000000000000000000000000000000000000000000000000000000
χ968-8−8i8i000-4-4000444i−4i4i−4i200000-66-200000000−2i2i006i−6i0000000000000000000000000000000000000000000000000000000

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