Finite Group Databasebeta

← Group #11867187

Character table — Group #11867187

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222244444444444444666666668888888888888812121212121212121212121212121212161616161616242424242424242424243636363648487272
order1222334466666636668812121212242424242222444424661212121224242424242466668888121212122424242466612121222446612122424248861244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ3111111111111111111111111111111-1-111-1-11111111111111111-1-111-1-111-1-111111111111-1-11-1-1-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-11111-1-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-111
χ51111111111111111111111111111-1-111-1-11111111111111111-1-111-1-111-1-111-1-1-1-1111111-111-1111111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111-1-111-1-111-1-1-1-1-1-111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-111-1-1-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1
χ9111111111111111111-1-11111-1-1-1-1111111111-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-1-1-11-1111-1-1-1-111-1-1-111-1
χ10111111111111111111-1-11111-1-1-1-111111111-11-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-11111-11-1-1-111-1-111-1-11-1-11
χ11111111111111111111-1-11111-1-1-1-111-1-111-1-11-111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111-1-1-1-1-111-1-11111-1-111-11-11
χ12111111111111111111-1-11111-1-1-1-111-1-111-1-1-11-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-111111-1-111-1-111-1-1111-11-1
χ13111111111111111111-1-11111-1-1-1-1-1-111-1-1111-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111111-1-1-111-1-111-1-1-1-1-1-1111-1-11
χ14111111111111111111-1-11111-1-1-1-1-1-111-1-111-11-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1111-1-111-1-111-1-1-1-111-111-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-1-11-11-1-1-1111111-1-11-11-1
χ16111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1111-11-1111-1-11111-1-1-11-11
χ17222222-2-2222222222200-2-2-2-200002222-2-2-2-2000000-2-200000022220000-2-2-2-2000000000000000000002-2000000
χ18222222-2-2222222222200-2-2-2-2000022-2-2-2-222000000-2-200000022-2-20000-2-22200000000000000000000-22000000
χ19222222-2-2222222222200-2-2-2-20000-2-22222-2-2000000-2-2000000-2-222000022-2-200000000000000000000-22000000
χ20222222-2-2222222222200-2-2-2-20000-2-2-2-22222000000-2-2000000-2-2-2-200002222000000000000000000002-2000000
χ2122222-1222-12-1-12-1-1-1-1222-12-122220022002222-1-1-1-1-1-1-1-1-1-1-1-100-1-1002200-1-100002-1-12-1-10220-1-1-1-1-1-100000000
χ2222222-1222-12-1-12-1-1-1-1222-12-1222200220022-2-21111-1-1-1-1-1-1-1-100-1-1002200-1-10000-211-2110-2-201111-1-100000000
χ2322222-1222-12-1-12-1-1-1-1222-12-1222200-2-200-2-222-1-1-1-1-1-1-1-1-1-1-1-1001100-2-2001100002-1-12-1-10-2-2011111100000000
χ2422222-1222-12-1-12-1-1-1-1222-12-1222200-2-200-2-2-2-21111-1-1-1-1-1-1-1-1001100-2-200110000-211-2110220-1-1-1-11100000000
χ2522222-1222-12-1-12-1-1-1-1-2-22-12-1-2-2-2-2002200222-2-1-111-1-111111100-1-100-2-200-1-100002-1-1-21102-20-1-1111100000000
χ2622222-1222-12-1-12-1-1-1-1-2-22-12-1-2-2-2-200220022-2211-1-1-1-111111100-1-100-2-200-1-10000-2112-1-10-22011-1-11100000000
χ2722222-1222-12-1-12-1-1-1-1-2-22-12-1-2-2-2-200-2-200-2-22-2-1-111-1-111111100110022001100002-1-1-2110-22011-1-1-1-100000000
χ2822222-1222-12-1-12-1-1-1-1-2-22-12-1-2-2-2-200-2-200-2-2-2211-1-1-1-11111110011002200110000-2112-1-102-20-1-111-1-100000000
χ292222-1222-12-122-1-1-1-1-122-12-12-1-1-1-122002200222222-1-122-1-1-1-1-1-1002200-1-100-1-1-1-1-1-1-1-1-1-120020000000000-1-100
χ302222-1222-12-122-1-1-1-1-122-12-12-1-1-1-122002200-2-2-2-2-2-2-1-122-1-1-1-1-1-1002200-1-100-1-1-1-1111111-200-200000000001100
χ312222-1222-12-122-1-1-1-1-122-12-12-1-1-1-1-2-200-2-200222222-1-122-1-1-1-11100-2-20011001111-1-1-1-1-1-1-200-200000000001100
χ322222-1222-12-122-1-1-1-1-122-12-12-1-1-1-1-2-200-2-200-2-2-2-2-2-2-1-122-1-1-1-11100-2-2001100111111111120020000000000-1-100
χ332222-1222-12-122-1-1-1-1-1-2-2-12-121111220022002-222-2-2-1-1-2-21111-1-100-2-200-1-1001111-1-1-1111-200200000000001-100
χ342222-1222-12-122-1-1-1-1-1-2-2-12-12111122002200-22-2-222-1-1-2-21111-1-100-2-200-1-1001111111-1-1-1200-20000000000-1100
χ352222-1222-12-122-1-1-1-1-1-2-2-12-121111-2-200-2-2002-222-2-2-1-1-2-21111110022001100-1-1-1-1-1-1-1111200-20000000000-1100
χ362222-1222-12-122-1-1-1-1-1-2-2-12-121111-2-200-2-200-22-2-222-1-1-2-21111110022001100-1-1-1-1111-1-1-1-200200000000001-100
χ372-2-22222-2-2-222-2-22-22-22i−2i22-2-22i2i−2i−2i002-2002-20000002-22i−2i2i2i−2i−2i002-2002i−2i002-20000000000000000002i−2i00000000
χ382-2-22222-2-2-222-2-22-22-22i−2i22-2-22i2i−2i−2i00-2200-220000002-22i−2i2i2i−2i−2i00-2200−2i2i00-22000000000000000000−2i2i00000000
χ392-2-22222-2-2-222-2-22-22-2−2i2i22-2-2−2i−2i2i2i002-2002-20000002-2−2i2i−2i−2i2i2i002-200−2i2i002-2000000000000000000−2i2i00000000
χ402-2-22222-2-2-222-2-22-22-2−2i2i22-2-2−2i−2i2i2i00-2200-220000002-2−2i2i−2i−2i2i2i00-22002i−2i00-220000000000000000002i−2i00000000
χ412-2-2222-22-2-222-2-22-22-200-2-2220000002-200-22000000-22000000002-22-20000-2222-2-20000000000000000002-20000
χ422-2-2222-22-2-222-2-22-22-200-2-2220000002-200-22000000-22000000002-2-220000-22-2-222000000000000000000-220000
χ432-2-2222-22-2-222-2-22-22-200-2-222000000-22002-2000000-2200000000-222-200002-222-2-2000000000000000000-220000
χ442-2-2222-22-2-222-2-22-22-200-2-222000000-22002-2000000-2200000000-22-2200002-2-2-2220000000000000000002-20000
χ452-2-222-12-2-212-11-2-11-112i−2i2-1-212i2i−2i−2i002-2002-200−i3i33−3-11−ii−i−iii00-11002i−2i00-1100000−i3i303−30000−i3i33−3−ii00000000
χ462-2-222-12-2-212-11-2-11-112i−2i2-1-212i2i−2i−2i002-2002-200i3−i3−33-11−ii−i−iii00-11002i−2i00-1100000i3−i30−330000i3−i3−33−ii00000000
χ472-2-222-12-2-212-11-2-11-112i−2i2-1-212i2i−2i−2i00-2200-2200−i3i33−3-11−ii−i−iii001-100−2i2i001-100000−i3i303−30000i3−i3−33i−i00000000
χ482-2-222-12-2-212-11-2-11-112i−2i2-1-212i2i−2i−2i00-2200-2200i3−i3−33-11−ii−i−iii001-100−2i2i001-100000i3−i30−330000−i3i33−3i−i00000000
χ492-2-222-12-2-212-11-2-11-11−2i2i2-1-21−2i−2i2i2i002-2002-200−i3i3−33-11i−iii−i−i00-1100−2i2i00-1100000−i3i30−330000−i3i3−33i−i00000000
χ502-2-222-12-2-212-11-2-11-11−2i2i2-1-21−2i−2i2i2i002-2002-200i3−i33−3-11i−iii−i−i00-1100−2i2i00-1100000i3−i303−30000i3−i33−3i−i00000000
χ512-2-222-12-2-212-11-2-11-11−2i2i2-1-21−2i−2i2i2i00-2200-2200−i3i3−33-11i−iii−i−i001-1002i−2i001-100000−i3i30−330000i3−i33−3−ii00000000
χ522-2-222-12-2-212-11-2-11-11−2i2i2-1-21−2i−2i2i2i00-2200-2200i3−i33−3-11i−iii−i−i001-1002i−2i001-100000i3−i303−30000−i3i3−33−ii00000000
χ5344444-2-4-44-24-2-24-2-2-2-200-42-420000004400-4-40000002200000000-2-2000000220000000000000000000000000000
χ5444444-2-4-44-24-2-24-2-2-2-200-42-42000000-4-40044000000220000000022000000-2-20000000000000000000000000000
χ554444-24-4-4-24-244-2-2-2-2-2002-42-400004400-4-40000000022000000-2-200000022000000000000000000000000000000
χ564444-24-4-4-24-244-2-2-2-2-2002-42-40000-4-40044000000002200000022000000-2-2000000000000000000000000000000
χ574444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-20000000044-2-2-2-211-2-211110000000000000000-211-211000000000000000000
χ584444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200000000-4-4222211-2-2111100000000000000002-1-12-1-1000000000000000000
χ594444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222000000004-4-2-2221122-1-1-1-10000000000000000-2112-1-1000000000000000000
χ604444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200000000-4422-2-21122-1-1-1-100000000000000002-1-1-211000000000000000000
χ6144-4-444004-4-4-44-444-4-4000000000000004i−4i0000000000000000000000004i−4i000000000000000000000000000000
χ6244-4-444004-4-4-44-444-4-400000000000000−4i4i000000000000000000000000−4i4i000000000000000000000000000000
χ6344-4-4-2400-2-42-442-2-2220000006−66−600004i−4i0000000000006−66−600000000−2i2i00i6−i6i6−i6000000000000000000000000
χ6444-4-4-2400-2-42-442-2-2220000006−66−60000−4i4i0000000000006−66−6000000002i−2i00−i6i6−i6i6000000000000000000000000
χ6544-4-4-2400-2-42-442-2-222000000−66−6600004i−4i000000000000−66−6600000000−2i2i00−i6i6−i6i6000000000000000000000000
χ6644-4-4-2400-2-42-442-2-222000000−66−660000−4i4i000000000000−66−66000000002i−2i00i6−i6i6−i6000000000000000000000000
χ674-44-44400-44-4-4-444-4-4400000000004-4000000000000000000004-400000000000000000000000000000000000000
χ684-44-44400-44-4-4-444-4-440000000000-4400000000000000000000-4400000000000000000000000000000000000000
χ694-44-4-2400242-4-4-2-222-2000000i6−i6−i6i64-40000000000000000i6−i6−i6i6-220000000000i6−i6−i6i6000000000000000000000000
χ704-44-4-2400242-4-4-2-222-2000000i6−i6−i6i6-440000000000000000i6−i6−i6i62-20000000000−i6i6i6−i6000000000000000000000000
χ714-44-4-2400242-4-4-2-222-2000000−i6i6i6−i64-40000000000000000−i6i6i6−i6-220000000000−i6i6i6−i6000000000000000000000000
χ724-44-4-2400242-4-4-2-222-2000000−i6i6i6−i6-440000000000000000−i6i6i6−i62-20000000000i6−i6−i6i6000000000000000000000000
χ734-4-444-2-44-424-22-4-22-2200-424-20000004-400-440000002-200000000-220000002-20000000000000000000000000000
χ744-4-444-2-44-424-22-4-22-2200-424-2000000-44004-40000002-2000000002-2000000-220000000000000000000000000000
χ754-4-44-244-42-4-24-42-22-224i−4i-242-4−2i−2i2i2i00000000000000-224i−4i−2i−2i2i2i0000000000000000000000000000000000000000
χ764-4-44-244-42-4-24-42-22-22−4i4i-242-42i2i−2i−2i00000000000000-22−4i4i2i2i−2i−2i0000000000000000000000000000000000000000
χ774-4-44-24-442-4-24-42-22-22002-4-240000000000000000002-200000000004-4000000-2-222000000000000000000000000
χ784-4-44-24-442-4-24-42-22-22002-4-240000000000000000002-20000000000-4400000022-2-2000000000000000000000000
χ794-4-44-2-24-422-2-2221-11-14i−4i-2-222−2i−2i2i2i0000000000−2i32i323−231-1−2i2iii−i−i00000000000000000i3−i30−33000000000000000000
χ804-4-44-2-24-422-2-2221-11-14i−4i-2-222−2i−2i2i2i00000000002i3−2i3−23231-1−2i2iii−i−i00000000000000000−i3i303−3000000000000000000
χ814-4-44-2-24-422-2-2221-11-1−4i4i-2-2222i2i−2i−2i0000000000−2i32i3−23231-12i−2i−i−iii00000000000000000i3−i303−3000000000000000000
χ824-4-44-2-24-422-2-2221-11-1−4i4i-2-2222i2i−2i−2i00000000002i3−2i323−231-12i−2i−i−iii00000000000000000−i3i30−33000000000000000000
χ838888-4-4-8-8-4-4-4-4-4-42222004444000000000000000000-2-20000000000000000000000000000000000000000000000
χ8488-8-88-40084-84-4-8-4-444000000000000000000000000000000000000000000000000000000000000000000000000
χ8588-8-8-4-400-4444-4422-2-200000026−2626−26000000000000000000−66−660000000000000000000000000000000000000000
χ8688-8-8-4-400-4444-4422-2-2000000−2626−26260000000000000000006−66−60000000000000000000000000000000000000000
χ878-88-88-400-8-4-8448-444-4000000000000000000000000000000000000000000000000000000000000000000000000
χ888-88-8-4-4004-4444-42-2-220000002i6−2i6−2i62i6000000000000000000−i6i6i6−i60000000000000000000000000000000000000000
χ898-88-8-4-4004-4444-42-2-22000000−2i62i62i6−2i6000000000000000000i6−i6−i6i60000000000000000000000000000000000000000
χ908-8-88-4-4-8844-4-4442-22-20044-4-4000000000000000000-220000000000000000000000000000000000000000000000

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