Finite Group Databasebeta

← Group #11872309

Character table — Group #11872309

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121224242424242424242424242424242424242424243636363636363636
order12223344444466666636661212121212121212121212121212121224666666661212121212121212121212122444444424666881212121212121212122424242422448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-11-1-111111-1-111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-111-111-1-1-1-1-111-1-11111-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-11-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-11-1-1-1-11-1-11111-1-1-1-11-1-11111-1-1-1-11111
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-11111-111-1-1-1-11111-111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-1-11111111111-1-1-1-1
χ9111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1111-111111111-1-1-1-111-1-1-1-1-1-111-111-1-1-1-111-1-11-11-111-1-1-11111-1-111-1-111-1-1
χ10111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1111-111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-111-1-1-111-1-1-111-111-1-111-1-111-1-111
χ11111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1111-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11-1-1111-1-1111-1-11-1-111-1-1-1-111-1-111
χ12111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1111-111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-11111-1-111-11-11-1-1111-1-1-1-11111-1-111-1-1
χ13111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1111111-1-1111111-111-1-1-11-1111-111-111-1-1-1-1-1-1-11111-1-1-1-111
χ14111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1111-11111-11-1-1-111-1-1-111-1-1-1-11111-1-1
χ15111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1111111-1-11111-1-11111-1-1-11-1-1-1-11-1111-1-1111-1-111-1-11111-1-1
χ16111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1111111-1-11111-1-11-1-1111-11-1-1-11-1-11-1-11111111-1-111-1-1-1-111
χ1722222222-2-2-2-2222222222222-2-2-2-2-2-222-2-2-2-2-2-200000000000000-2-22200002-2-2002000020000-220000-200000000000000
χ1822222222-2-2-2-2222222222222-2-2-2-2-2-222-2-2-2-2-2-200000000000000-2-2220000-22200-20000-200002-20000200000000000000
χ19222222-2-222-2-22222222222-2-2-2-22222-2-22222-2-200000000000000-2-2-2-200002-2200-2000020000-2-20000200000000000000
χ20222222-2-222-2-22222222222-2-2-2-22222-2-22222-2-200000000000000-2-2-2-20000-22-20020000-20000220000-200000000000000
χ2122222-12222222-1-122-1-1-1-1-122-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12220020022-1-1-100-1-10000-1-1-1000000000000
χ2222222-12222222-1-122-1-1-1-1-122-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-200-200-2-211100110000111000000000000
χ2322222-12222222-1-122-1-1-1-1-122-1-1-1-122-1-1-1-1-1-122-2-2-2-211111111-2-2-1-1-1-1111122200200-2-2-11100-1-10000-111000000000000
χ2422222-12222222-1-122-1-1-1-1-122-1-1-1-122-1-1-1-1-1-122-2-2-2-211111111-2-2-1-1-1-11111-2-2-200-200221-1-1001100001-1-1000000000000
χ2522222-122-2-2-2-22-1-122-1-1-1-1-1221111-2-2-1-11111-2-20000−i3i3−i3−i3i3i3−i3i30011-1-1−i3−i3i3i32-2-20020000-1−i3i3001-100001−i3i3000000000000
χ2622222-122-2-2-2-22-1-122-1-1-1-1-1221111-2-2-1-11111-2-20000−i3i3−i3−i3i3i3−i3i30011-1-1−i3−i3i3i3-22200-200001i3−i300-110000-1i3−i3000000000000
χ2722222-122-2-2-2-22-1-122-1-1-1-1-1221111-2-2-1-11111-2-20000i3−i3i3i3−i3−i3i3−i30011-1-1i3i3−i3−i32-2-20020000-1i3−i3001-100001i3−i3000000000000
χ2822222-122-2-2-2-22-1-122-1-1-1-1-1221111-2-2-1-11111-2-20000i3−i3i3i3−i3−i3i3−i30011-1-1i3i3−i3−i3-22200-200001−i3i300-110000-1−i3i3000000000000
χ2922222-1-2-222-2-22-1-122-1-1-1-1-1-2-211-1-12211-1-1-1-1-2-20000−i3i3−i3−i3i3i3i3−i3001111i3i3−i3−i32-2200-20000-1i3−i300110000-1−i3i3000000000000
χ3022222-1-2-222-2-22-1-122-1-1-1-1-1-2-211-1-12211-1-1-1-1-2-20000−i3i3−i3−i3i3i3i3−i3001111i3i3−i3−i3-22-200200001−i3i300-1-100001i3−i3000000000000
χ3122222-1-2-222-2-22-1-122-1-1-1-1-1-2-211-1-12211-1-1-1-1-2-20000i3−i3i3i3−i3−i3−i3i3001111−i3−i3i3i32-2200-20000-1−i3i300110000-1i3−i3000000000000
χ3222222-1-2-222-2-22-1-122-1-1-1-1-1-2-211-1-12211-1-1-1-1-2-20000i3−i3i3i3−i3−i3−i3i3001111−i3−i3i3i3-22-200200001i3−i300-1-100001−i3i3000000000000
χ3322222-1-2-2-2-2222-1-122-1-1-1-1-1-2-2-1-111-2-2111111222-222-1-1-1-1-1-111-2-2-1-111111122-200-200-22-11100-1100001-1-1000000000000
χ3422222-1-2-2-2-2222-1-122-1-1-1-1-1-2-2-1-111-2-2111111222-222-1-1-1-1-1-111-2-2-1-1111111-2-22002002-21-1-1001-10000-111000000000000
χ3522222-1-2-2-2-2222-1-122-1-1-1-1-1-2-2-1-111-2-211111122-22-2-2111111-1-122-1-111-1-1-1-122-200-2002-2-1-1-100-110000111000000000000
χ3622222-1-2-2-2-2222-1-122-1-1-1-1-1-2-2-1-111-2-211111122-22-2-2111111-1-122-1-111-1-1-1-1-2-2200200-22111001-10000-1-1-1000000000000
χ372222-12222222-122-1-12-1-1-1-1-1-12222-1-122-1-1-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-100022022000002200-1-1-1-1000-1-1-1-100000000
χ382222-12222222-122-1-12-1-1-1-1-1-12222-1-122-1-1-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1000-2-20-2-200000-2-2001111000111100000000
χ392222-12222222-122-1-12-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-2-211-2-21111-2-211-1-1-1-111110002202200000-2-200-1-1-1-1000111100000000
χ402222-12222222-122-1-12-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-2-211-2-21111-2-211-1-1-1-11111000-2-20-2-20000022001111000-1-1-1-100000000
χ412222-12-2-2-2-222-122-1-12-1-1-1-11122-2-211-2-21111-1-12-2-1-122-1-1-1-1-2-211-1-1111111000220-2-2000002-200-1-111000-1-11100000000
χ422222-12-2-2-2-222-122-1-12-1-1-1-11122-2-211-2-21111-1-12-2-1-122-1-1-1-1-2-211-1-1111111000-2-202200000-220011-1-100011-1-100000000
χ432222-12-2-2-2-222-122-1-12-1-1-1-11122-2-211-2-21111-1-1-2211-2-2111122-1-1-1-111-1-1-1-1000220-2-200000-2200-1-11100011-1-100000000
χ442222-12-2-2-2-222-122-1-12-1-1-1-11122-2-211-2-21111-1-1-2211-2-2111122-1-1-1-111-1-1-1-1000-2-2022000002-20011-1-1000-1-11100000000
χ4522-2-2222i−2i2i−2i2-2-22-22-2-222-2-22i−2i2-22i−2i2i−2i2i−2i2i2i−2i−2i2-2000000000000002-22i−2i000000000000000000000000000000002-22i−2i0000
χ4622-2-2222i−2i2i−2i2-2-22-22-2-222-2-22i−2i2-22i−2i2i−2i2i−2i2i2i−2i−2i2-2000000000000002-22i−2i00000000000000000000000000000000-22−2i2i0000
χ4722-2-2222i−2i−2i2i-22-22-22-2-222-2-22i−2i-22−2i2i−2i2i2i−2i−2i−2i2i2i-2200000000000000-222i−2i00000002-202i−2i0000000002-22i−2i000000000000000
χ4822-2-2222i−2i−2i2i-22-22-22-2-222-2-22i−2i-22−2i2i−2i2i2i−2i−2i−2i2i2i-2200000000000000-222i−2i0000000-220−2i2i000000000-22−2i2i000000000000000
χ4922-2-222−2i2i2i−2i-22-22-22-2-222-2-2−2i2i-222i−2i2i−2i−2i2i2i2i−2i−2i-2200000000000000-22−2i2i00000002-20−2i2i0000000002-2−2i2i000000000000000
χ5022-2-222−2i2i2i−2i-22-22-22-2-222-2-2−2i2i-222i−2i2i−2i−2i2i2i2i−2i−2i-2200000000000000-22−2i2i0000000-2202i−2i000000000-222i−2i000000000000000
χ5122-2-222−2i2i−2i2i2-2-22-22-2-222-2-2−2i2i2-2−2i2i−2i2i−2i2i−2i−2i2i2i2-2000000000000002-2−2i2i000000000000000000000000000000002-2−2i2i0000
χ5222-2-222−2i2i−2i2i2-2-22-22-2-222-2-2−2i2i2-2−2i2i−2i2i−2i2i−2i−2i2i2i2-2000000000000002-2−2i2i00000000000000000000000000000000-222i−2i0000
χ5322-2-2-122i−2i−2i2i-2212-2-11-2-1-111−ii-22−2i2ii−i2i−2iii−i−i1-100−i3i300−i3i3−i3i3003−31-1−ii3−33−30002-202i−2i000000000-11−ii000−i3i33−300000000
χ5422-2-2-122i−2i−2i2i-2212-2-11-2-1-111−ii-22−2i2ii−i2i−2iii−i−i1-100−i3i300−i3i3−i3i3003−31-1−ii3−33−3000-220−2i2i0000000001-1i−i000i3−i3−3300000000
χ5522-2-2-122i−2i−2i2i-2212-2-11-2-1-111−ii-22−2i2ii−i2i−2iii−i−i1-100i3−i300i3−i3i3−i300−331-1−ii−33−330002-202i−2i000000000-11−ii000i3−i3−3300000000
χ5622-2-2-122i−2i−2i2i-2212-2-11-2-1-111−ii-22−2i2ii−i2i−2iii−i−i1-100i3−i300i3−i3i3−i300−331-1−ii−33−33000-220−2i2i0000000001-1i−i000−i3i33−300000000
χ5722-2-2-12−2i2i2i−2i-2212-2-11-2-1-111i−i-222i−2i−ii−2i2i−i−iii1-100−i3i300−i3i3−i3i300−331-1i−i−33−330002-20−2i2i000000000-11i−i000−i3i3−3300000000
χ5822-2-2-12−2i2i2i−2i-2212-2-11-2-1-111i−i-222i−2i−ii−2i2i−i−iii1-100−i3i300−i3i3−i3i300−331-1i−i−33−33000-2202i−2i0000000001-1−ii000i3−i33−300000000
χ5922-2-2-12−2i2i2i−2i-2212-2-11-2-1-111i−i-222i−2i−ii−2i2i−i−iii1-100i3−i300i3−i3i3−i3003−31-1i−i3−33−30002-20−2i2i000000000-11i−i000i3−i33−300000000
χ6022-2-2-12−2i2i2i−2i-2212-2-11-2-1-111i−i-222i−2i−ii−2i2i−i−iii1-100i3−i300i3−i3i3−i3003−31-1i−i3−33−3000-2202i−2i0000000001-1−ii000−i3i3−3300000000
χ614444-2444-4-4-4-4-244-2-24-2-2-2-2-2-2-4-4-4-422442222220000000000000022-2-20000000000000000000000000000000000000000
χ624444-24-4-444-4-4-244-2-24-2-2-2-222-4-444-2-2-4-4-2-2-2-2220000000000000022220000000000000000000000000000000000000000
χ634444-2-2444444-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-21111-2-244-2-2-2-21111-2-2-2-211111111000000000000000000000000000000000000
χ644444-2-2444444-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-21111-2-2-4-42222-1-1-1-122221111-1-1-1-1000000000000000000000000000000000000
χ654444-2-244-4-4-4-4-2-2-2-2-2-21111-2-2222222-2-2-1-1-1-1220000−2i32i3i3i3−i3−i3−2i32i300-1-111i3i3−i3−i3000000000000000000000000000000000000
χ664444-2-244-4-4-4-4-2-2-2-2-2-21111-2-2222222-2-2-1-1-1-12200002i3−2i3−i3−i3i3i32i3−2i300-1-111−i3−i3i3i3000000000000000000000000000000000000
χ674444-2-2-4-444-4-4-2-2-2-2-2-211112222-2-2-2-2221111220000−2i32i3i3i3−i3−i32i3−2i300-1-1-1-1−i3−i3i3i3000000000000000000000000000000000000
χ684444-2-2-4-444-4-4-2-2-2-2-2-211112222-2-2-2-22211112200002i3−2i3−i3−i3i3i3−2i32i300-1-1-1-1i3i3−i3−i3000000000000000000000000000000000000
χ694444-2-2-4-4-4-444-2-2-2-2-2-2111122-2-2222222-1-1-1-1-2-24-4-2-2-2-21111222211-1-1-1-1-1-1000000000000000000000000000000000000
χ704444-2-2-4-4-4-444-2-2-2-2-2-2111122-2-2222222-1-1-1-1-2-2-442222-1-1-1-1-2-2-2-211-1-11111000000000000000000000000000000000000
χ7144-4-44-24i−4i4i−4i4-4-4-224-42-2-2224i−4i-22−2i2i4i−4i−2i2i−2i−2i2i2i4-400000000000000-22−2i2i0000000000000000000000000000000000000000
χ7244-4-44-24i−4i−4i4i-44-4-224-42-2-2224i−4i2-22i−2i−4i4i−2i2i2i2i−2i−2i-44000000000000002-2−2i2i0000000000000000000000000000000000000000
χ7344-4-44-2−4i4i4i−4i-44-4-224-42-2-222−4i4i2-2−2i2i4i−4i2i−2i−2i−2i2i2i-44000000000000002-22i−2i0000000000000000000000000000000000000000
χ7444-4-44-2−4i4i−4i4i4-4-4-224-42-2-222−4i4i-222i−2i−4i4i2i−2i2i2i−2i−2i4-400000000000000-222i−2i0000000000000000000000000000000000000000
χ7544-4-4-244i−4i4i−4i4-424-4-22-4-2-222−2i2i4-44i−4i−2i2i4i−4i−2i−2i2i2i-2200000000000000-22−2i2i0000000000000000000000000000000000000000
χ7644-4-4-24−4i4i−4i4i4-424-4-22-4-2-2222i−2i4-4−4i4i2i−2i−4i4i2i2i−2i−2i-2200000000000000-222i−2i0000000000000000000000000000000000000000
χ7744-4-4-2-24i−4i4i−4i4-42-22-22211-1-1−2i2i-22−2i2i−2i2i−2i2iii−i−i-220000003-3-3300001-1i−i3i−3i−3i3i000000000000000000000000000000000000
χ7844-4-4-2-24i−4i4i−4i4-42-22-22211-1-1−2i2i-22−2i2i−2i2i−2i2iii−i−i-22000000-333-300001-1i−i−3i3i3i−3i000000000000000000000000000000000000
χ7944-4-4-2-24i−4i−4i4i-442-22-22211-1-1−2i2i2-22i−2i2i−2i−2i2i−i−iii2-200−2i32i300i3−i3i3−i30023−23-11i−i−33−33000000000000000000000000000000000000
χ8044-4-4-2-24i−4i−4i4i-442-22-22211-1-1−2i2i2-22i−2i2i−2i−2i2i−i−iii2-2002i3−2i300−i3i3−i3i300−2323-11i−i3−33−3000000000000000000000000000000000000
χ8144-4-4-2-2−4i4i4i−4i-442-22-22211-1-12i−2i2-2−2i2i−2i2i2i−2iii−i−i2-200−2i32i300i3−i3i3−i300−2323-11−ii3−33−3000000000000000000000000000000000000
χ8244-4-4-2-2−4i4i4i−4i-442-22-22211-1-12i−2i2-2−2i2i−2i2i2i−2iii−i−i2-2002i3−2i300−i3i3−i3i30023−23-11−ii−33−33000000000000000000000000000000000000
χ8344-4-4-2-2−4i4i−4i4i4-42-22-22211-1-12i−2i-222i−2i2i−2i2i−2i−i−iii-220000003-3-3300001-1−ii−3i3i3i−3i000000000000000000000000000000000000
χ8444-4-4-2-2−4i4i−4i4i4-42-22-22211-1-12i−2i-222i−2i2i−2i2i−2i−i−iii-22000000-333-300001-1−ii3i−3i−3i3i000000000000000000000000000000000000
χ854-44-4440000004-4-4-4-444-44-4000000000000000000000000000000000000000000000000000000000000000000000000−2i22i2
χ864-44-4440000004-4-4-4-444-44-40000000000000000000000000000000000000000000000000000000000000000000000002i2−2i2
χ874-4-4444000000-4-44-44-44-4-44000000000000000000000000000000000000000000000000000000000000000000000022−2200
χ884-4-4444000000-4-44-44-44-4-440000000000000000000000000000000000000000000000000000000000000000000000−222200
χ898-88-88-4000000844-8-8-4-44-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ908-88-8-48000000-4-8-8448-44-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ918-88-8-4-4000000-44444-42-22-200000000006i−6i6i−6i000000000000000000000000000000000000000000000000000000000000
χ928-88-8-4-4000000-44444-42-22-20000000000−6i6i−6i6i000000000000000000000000000000000000000000000000000000000000
χ938-8-888-4000000-84-4-884-444-400000000000000000000000000000000000000000000000000000000000000000000000000
χ948-8-88-480000004-884-4-8-444-400000000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-400000044-44-442-2-2200000000006-6-66000000000000000000000000000000000000000000000000000000000000
χ968-8-88-4-400000044-44-442-2-220000000000-666-6000000000000000000000000000000000000000000000000000000000000

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