Finite Group Databasebeta

← Group #11885781

Character table — Group #11885781

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size114444121212121212181818114444121212121212181818228888242424242424363636228888242424242424363636228888242424242424363636
order12336622666648822666622666648822666622666648822666622666648844121212124412121212488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111-111-1-11-1-11111111-111-1-11-1-11111111-111-1-11-1-11111111-111-1-11-1-11111111-111-1-11-1-1
χ3111111-11-1-1111-1-1111111-11-1-1111-1-1111111-11-1-1111-1-1111111-11-1-1111-1-1111111-11-1-1111-1-1
χ4111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111
χ5222222000000-200222222000000-200222222000000-200222222000000-200222222000000-200
χ62-222-2-200000002−22-222-2-200000002−22-222-2-200000002−22-222-2-200000002−22-222-2-200000002−2
χ72-222-2-20000000−222-222-2-20000000−222-222-2-20000000−222-222-2-20000000−222-222-2-20000000−22
χ8441-21-20200-1-1000441-21-20200-1-1000441-21-20200-1-1000441-21-20200-1-1000441-21-20200-1-1000
χ9441-21-20-20011000441-21-20-20011000441-21-20-20011000441-21-20-20011000441-21-20-20011000
χ1044-21-2120-1-10000044-21-2120-1-10000044-21-2120-1-10000044-21-2120-1-10000044-21-2120-1-100000
χ1144-21-21-20110000044-21-21-20110000044-21-21-20110000044-21-21-20110000044-21-21-201100000
χ124-41-2-120000−i3i30004-41-2-120000−i3i30004-41-2-120000−i3i30004-41-2-120000−i3i30004-41-2-120000−i3i3000
χ134-41-2-120000i3−i30004-41-2-120000i3−i30004-41-2-120000i3−i30004-41-2-120000i3−i30004-41-2-120000i3−i3000
χ144-4-212-100−i3i3000004-4-212-100−i3i3000004-4-212-100−i3i3000004-4-212-100−i3i3000004-4-212-100−i3i300000
χ154-4-212-100i3−i3000004-4-212-100i3−i3000004-4-212-100i3−i3000004-4-212-100i3−i3000004-4-212-100i3−i300000
χ16111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ171111111-111-1-11-1-11111111-111-1-11-1-11111111-111-1-11-1-1-1-1-1-1-1-1-11-1-111-111-1-1-1-1-1-1-11-1-111-111
χ18111111-11-1-1111-1-1111111-11-1-1111-1-1111111-11-1-1111-1-1-1-1-1-1-1-11-111-1-1-111-1-1-1-1-1-11-111-1-1-111
χ19111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111111-1-1-1
χ20222222000000-200222222000000-200222222000000-200-2-2-2-2-2-2000000200-2-2-2-2-2-2000000200
χ212-222-2-200000002−22-222-2-200000002−22-222-2-200000002−2-22-2-2220000000−22-22-2-2220000000−22
χ222-222-2-20000000−222-222-2-20000000−222-222-2-20000000−22-22-2-22200000002−2-22-2-22200000002−2
χ23441-21-20200-1-1000441-21-20200-1-1000441-21-20200-1-1000-4-4-12-120-20011000-4-4-12-120-20011000
χ24441-21-20-20011000441-21-20-20011000441-21-20-20011000-4-4-12-120200-1-1000-4-4-12-120200-1-1000
χ2544-21-2120-1-10000044-21-2120-1-10000044-21-2120-1-100000-4-42-12-1-201100000-4-42-12-1-201100000
χ2644-21-21-20110000044-21-21-20110000044-21-21-201100000-4-42-12-120-1-100000-4-42-12-120-1-100000
χ274-41-2-120000−i3i30004-41-2-120000−i3i30004-41-2-120000−i3i3000-44-121-20000i3−i3000-44-121-20000i3−i3000
χ284-41-2-120000i3−i30004-41-2-120000i3−i30004-41-2-120000i3−i3000-44-121-20000−i3i3000-44-121-20000−i3i3000
χ294-4-212-100−i3i3000004-4-212-100−i3i3000004-4-212-100−i3i300000-442-1-2100i3−i300000-442-1-2100i3−i300000
χ304-4-212-100i3−i3000004-4-212-100i3−i3000004-4-212-100i3−i300000-442-1-2100−i3i300000-442-1-2100−i3i300000
χ31111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ321111111-111-1-11-1-11111111-111-1-11-1-1-1-1-1-1-1-1-11-1-111-1111111111-111-1-11-1-1-1-1-1-1-1-1-11-1-111-111
χ33111111-11-1-1111-1-1111111-11-1-1111-1-1-1-1-1-1-1-11-111-1-1-111111111-11-1-1111-1-1-1-1-1-1-1-11-111-1-1-111
χ34111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1111111-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1
χ35222222000000-200222222000000-200-2-2-2-2-2-2000000200222222000000-200-2-2-2-2-2-2000000200
χ362-222-2-200000002−22-222-2-200000002−2-22-2-2220000000−222-222-2-200000002−2-22-2-2220000000−22
χ372-222-2-20000000−222-222-2-20000000−22-22-2-22200000002−22-222-2-20000000−22-22-2-22200000002−2
χ38441-21-20200-1-1000441-21-20200-1-1000-4-4-12-120-20011000441-21-20200-1-1000-4-4-12-120-20011000
χ39441-21-20-20011000441-21-20-20011000-4-4-12-120200-1-1000441-21-20-20011000-4-4-12-120200-1-1000
χ4044-21-2120-1-10000044-21-2120-1-100000-4-42-12-1-20110000044-21-2120-1-100000-4-42-12-1-201100000
χ4144-21-21-20110000044-21-21-201100000-4-42-12-120-1-10000044-21-21-201100000-4-42-12-120-1-100000
χ424-41-2-120000−i3i30004-41-2-120000−i3i3000-44-121-20000i3−i30004-41-2-120000−i3i3000-44-121-20000i3−i3000
χ434-41-2-120000i3−i30004-41-2-120000i3−i3000-44-121-20000−i3i30004-41-2-120000i3−i3000-44-121-20000−i3i3000
χ444-4-212-100−i3i3000004-4-212-100−i3i300000-442-1-2100i3−i3000004-4-212-100−i3i300000-442-1-2100i3−i300000
χ454-4-212-100i3−i3000004-4-212-100i3−i300000-442-1-2100−i3i3000004-4-212-100i3−i300000-442-1-2100−i3i300000
χ46111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111
χ471111111-111-1-11-1-11111111-111-1-11-1-1-1-1-1-1-1-1-11-1-111-111-1-1-1-1-1-1-11-1-111-1111111111-111-1-11-1-1
χ48111111-11-1-1111-1-1111111-11-1-1111-1-1-1-1-1-1-1-11-111-1-1-111-1-1-1-1-1-11-111-1-1-111111111-11-1-1111-1-1
χ49111111-1-1-1-1-1-1111111111-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111111-1-1-1111111-1-1-1-1-1-1111
χ50222222000000-200222222000000-200-2-2-2-2-2-2000000200-2-2-2-2-2-2000000200222222000000-200
χ512-222-2-200000002−22-222-2-200000002−2-22-2-2220000000−22-22-2-2220000000−222-222-2-200000002−2
χ522-222-2-20000000−222-222-2-20000000−22-22-2-22200000002−2-22-2-22200000002−22-222-2-20000000−22
χ53441-21-20200-1-1000441-21-20200-1-1000-4-4-12-120-20011000-4-4-12-120-20011000441-21-20200-1-1000
χ54441-21-20-20011000441-21-20-20011000-4-4-12-120200-1-1000-4-4-12-120200-1-1000441-21-20-20011000
χ5544-21-2120-1-10000044-21-2120-1-100000-4-42-12-1-201100000-4-42-12-1-20110000044-21-2120-1-100000
χ5644-21-21-20110000044-21-21-201100000-4-42-12-120-1-100000-4-42-12-120-1-10000044-21-21-201100000
χ574-41-2-120000−i3i30004-41-2-120000−i3i3000-44-121-20000i3−i3000-44-121-20000i3−i30004-41-2-120000−i3i3000
χ584-41-2-120000i3−i30004-41-2-120000i3−i3000-44-121-20000−i3i3000-44-121-20000−i3i30004-41-2-120000i3−i3000
χ594-4-212-100−i3i3000004-4-212-100−i3i300000-442-1-2100i3−i300000-442-1-2100i3−i3000004-4-212-100−i3i300000
χ604-4-212-100i3−i3000004-4-212-100i3−i300000-442-1-2100−i3i300000-442-1-2100−i3i3000004-4-212-100i3−i300000
χ61222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000
χ622222222-222-2-22-2-2-2-2-2-2-2-2-22-2-222-222000000000000000000000000000000000000000000000
χ63222222-22-2-2222-2-2-2-2-2-2-2-22-222-2-2-222000000000000000000000000000000000000000000000
χ64222222-2-2-2-2-2-2222-2-2-2-2-2-2222222-2-2-2000000000000000000000000000000000000000000000
χ65444444000000-400-4-4-4-4-4-4000000400000000000000000000000000000000000000000000000
χ664-444-4-4000000022−22-44-4-4440000000−2222000000000000000000000000000000000000000000000
χ674-444-4-40000000−2222-44-4-444000000022−22000000000000000000000000000000000000000000000
χ68882-42-40400-2-2000-8-8-24-240-40022000000000000000000000000000000000000000000000000
χ69882-42-40-40022000-8-8-24-240400-2-2000000000000000000000000000000000000000000000000
χ7088-42-4240-2-200000-8-84-24-2-402200000000000000000000000000000000000000000000000000
χ7188-42-42-402200000-8-84-24-240-2-200000000000000000000000000000000000000000000000000
χ728-82-4-240000−2i32i3000-88-242-400002i3−2i3000000000000000000000000000000000000000000000000
χ738-82-4-2400002i3−2i3000-88-242-40000−2i32i3000000000000000000000000000000000000000000000000
χ748-8-424-200−2i32i300000-884-2-42002i3−2i300000000000000000000000000000000000000000000000000
χ758-8-424-2002i3−2i300000-884-2-4200−2i32i300000000000000000000000000000000000000000000000000

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