Finite Group Databasebeta

← Group #11776247

Character table — Group #11776247

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222224444444444444888888888899991212121212121212121212121212121216161616161616161818181824242424242424242424242424242424367272
order1222334444666666346661212121212121212441212121212121212444488888888888888881212121212121212444424242424242424242424242424242424244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ3111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1
χ511111111111111111111111111111-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11-1-1
χ611111111111111111111111111111-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-1
χ711111111111111111111111111111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111
χ811111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111
χ9111111-1-1-1-111111111111-1-1-1-1-1-1-1-11-11111-1-1-1-11111ii−i−iii−i−iii−i−iii−i−i11-1-111-1-1-1-1-1-1ii−i−iii−i−iii−i−iii−i−i11-1
χ10111111-1-1-1-111111111111-1-1-1-1-1-1-1-11-11111-1-1-1-11111−i−iii−i−iii−i−iii−i−iii11-1-111-1-1-1-1-1-1−i−iii−i−iii−i−iii−i−iii11-1
χ11111111-1-1-1-111111111111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1ii−i−iii−i−i−i−iii−i−iii11-1-111-1-11111ii−i−iii−i−i−i−iii−i−iii-1-11
χ12111111-1-1-1-111111111111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1−i−iii−i−iiiii−i−iii−i−i11-1-111-1-11111−i−iii−i−iiiii−i−iii−i−i-1-11
χ13111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-111111-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii-1-111-1-111-1-1-1-1ii−i−i−i−iiiii−i−i−i−iii1-11
χ14111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-111111-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i-1-111-1-111-1-1-1-1−i−iiiii−i−i−i−iiiii−i−i1-11
χ15111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i-1-111-1-1111111ii−i−i−i−iii−i−iiiii−i−i-11-1
χ16111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1−i−iiiii−i−iii−i−i−i−iii-1-111-1-1111111−i−iiiii−i−iii−i−i−i−iii-11-1
χ1722222222-2-22222222-2222-2-222-2-22200-2-2-2-2-2-2222222000000000000000000000000-2-2220000000000000000-200
χ1822222222-2-22222222-2222-2-222-2-22200-2-2-2-2-2-222-2-2-2-200000000000000000000000022-2-20000000000000000200
χ19222222-2-2222222222-222222-2-222-2-200-2-2-2-222-2-2222200000000000000000000000022-2-20000000000000000-200
χ20222222-2-2222222222-222222-2-222-2-200-2-2-2-222-2-2-2-2-2-2000000000000000000000000-2-2220000000000000000200
χ2122222-1222222-1-12-1-12-1-1-12-12-12-12-1222-1-1-1-1-1-1-1000000000000222222222-12-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1000
χ2222222-1222222-1-12-1-12-1-1-12-12-12-12-1222-1-1-1-1-1-1-1000000000000-2-2-2-2-2-2-2-22-12-1-1-1-1-100000000000011111111000
χ2322222-1222222-1-12-1-12-1-1-12-12-12-12-1-2-22-1-1-1-1-1-1-10000000000002222-2-2-2-2-21-211111000000000000-1-1-1-11111000
χ2422222-1222222-1-12-1-12-1-1-12-12-12-12-1-2-22-1-1-1-1-1-1-1000000000000-2-2-2-22222-21-2111110000000000001111-1-1-1-1000
χ2522222-1-2-2-2-222-1-12-1-12-1-1-1-21-21-21-212-22-1-1-111110000000000002i2i−2i−2i2i2i−2i−2i2-1-21-1-111000000000000−i−iii−i−iii000
χ2622222-1-2-2-2-222-1-12-1-12-1-1-1-21-21-21-212-22-1-1-11111000000000000−2i−2i2i2i−2i−2i2i2i2-1-21-1-111000000000000ii−i−iii−i−i000
χ2722222-1-2-2-2-222-1-12-1-12-1-1-1-21-21-21-21-222-1-1-111110000000000002i2i−2i−2i−2i−2i2i2i-212-111-1-1000000000000−i−iiiii−i−i000
χ2822222-1-2-2-2-222-1-12-1-12-1-1-1-21-21-21-21-222-1-1-11111000000000000−2i−2i2i2i2i2i−2i−2i-212-111-1-1000000000000ii−i−i−i−iii000
χ292222-122222-1-122-12-12-1-1-1-12-12-12-1222-12-1-1-1-1-1-100002222222200000000-12-12-1-1-1-10000-1-1-1-1-1-1-1-100000000000
χ302222-122222-1-122-12-12-1-1-1-12-12-12-1222-12-1-1-1-1-1-10000-2-2-2-2-2-2-2-200000000-12-12-1-1-1-100001111111100000000000
χ312222-122222-1-122-12-12-1-1-1-12-12-12-12-2-2-12-1-1-1-1-1-100002222-2-2-2-2000000001-21-211110000-1-1-1-1111100000000000
χ322222-122222-1-122-12-12-1-1-1-12-12-12-12-2-2-12-1-1-1-1-1-10000-2-2-2-22222000000001-21-2111100001111-1-1-1-100000000000
χ332222-12-2-2-2-2-1-122-12-12-1-1-11-21-21-21-22-2-12-1-1111100002i2i−2i−2i2i2i−2i−2i00000000-121-2-1-1110000−i−iii−i−iii00000000000
χ342222-12-2-2-2-2-1-122-12-12-1-1-11-21-21-21-22-2-12-1-111110000−2i−2i2i2i−2i−2i2i2i00000000-121-2-1-1110000ii−i−iii−i−i00000000000
χ352222-12-2-2-2-2-1-122-12-12-1-1-11-21-21-21-2-22-12-1-1111100002i2i−2i−2i−2i−2i2i2i000000001-2-1211-1-10000−i−iiiii−i−i00000000000
χ362222-12-2-2-2-2-1-122-12-12-1-1-11-21-21-21-2-22-12-1-111110000−2i−2i2i2i2i2i−2i−2i000000001-2-1211-1-10000ii−i−i−i−iii00000000000
χ372-22-2222-200-2-2-2-22220-2-22002-200-22000000002-22i2i−2i−2i0000i2−i2i2−i200002−22−200000000002i−2i0000i2−i2i2−i200002−22−2000
χ382-22-2222-200-2-2-2-22220-2-22002-200-22000000002-22i2i−2i−2i0000−i2i2−i2i20000−22−2200000000002i−2i0000−i2i2−i2i20000−22−22000
χ392-22-2222-200-2-2-2-22220-2-22002-200-22000000002-2−2i−2i2i2i0000i2−i2i2−i20000−22−220000000000−2i2i0000i2−i2i2−i20000−22−22000
χ402-22-2222-200-2-2-2-22220-2-22002-200-22000000002-2−2i−2i2i2i0000−i2i2−i2i200002−22−20000000000−2i2i0000−i2i2−i2i200002−22−2000
χ412-22-222-2200-2-2-2-22220-2-2200-22002-200000000-222i2i−2i−2i00002−2−220000−i2i2i2−i20000000000−2i2i00002−2−220000−i2i2i2−i2000
χ422-22-222-2200-2-2-2-22220-2-2200-22002-200000000-222i2i−2i−2i0000−222−20000i2−i2−i2i20000000000−2i2i0000−222−20000i2−i2−i2i2000
χ432-22-222-2200-2-2-2-22220-2-2200-22002-200000000-22−2i−2i2i2i00002−2−220000i2−i2−i2i200000000002i−2i00002−2−220000i2−i2−i2i2000
χ442-22-222-2200-2-2-2-22220-2-2200-22002-200000000-22−2i−2i2i2i0000−222−20000−i2i2i2−i200000000002i−2i0000−222−20000−i2i2i2−i2000
χ452-2-2222002-22-22-2-2-2202-2-22-200-22000000002-2002i−2i2i−2i2−22−20000i2−i2i2−i20000000000002i−2i002−22−20000i2−i2i2−i20000000
χ462-2-2222002-22-22-2-2-2202-2-22-200-22000000002-2002i−2i2i−2i−22−220000−i2i2−i2i20000000000002i−2i00−22−220000−i2i2−i2i20000000
χ472-2-2222002-22-22-2-2-2202-2-22-200-22000000002-200−2i2i−2i2i2−22−20000−i2i2−i2i2000000000000−2i2i002−22−20000−i2i2−i2i20000000
χ482-2-2222002-22-22-2-2-2202-2-22-200-22000000002-200−2i2i−2i2i−22−220000i2−i2i2−i2000000000000−2i2i00−22−220000i2−i2i2−i20000000
χ492-2-222200-222-22-2-2-2202-2-2-22002-200000000-22002i−2i2i−2ii2−i2−i2i20000−222−2000000000000−2i2i00i2−i2−i2i20000−222−20000000
χ502-2-222200-222-22-2-2-2202-2-2-22002-200000000-22002i−2i2i−2i−i2i2i2−i200002−2−22000000000000−2i2i00−i2i2i2−i200002−2−220000000
χ512-2-222200-222-22-2-2-2202-2-2-22002-200000000-2200−2i2i−2i2ii2−i2−i2i200002−2−220000000000002i−2i00i2−i2−i2i200002−2−220000000
χ522-2-222200-222-22-2-2-2202-2-2-22002-200000000-2200−2i2i−2i2i−i2i2i2−i20000−222−20000000000002i−2i00−i2i2i2−i20000−222−20000000
χ5344444-244-4-444-2-24-2-2-4-2-2-2-424-2-424-200-422222-2-2000000000000000000000000000000000000000000000000000
χ5444444-2-4-44444-2-24-2-2-4-2-2-24-2-424-2-4200-4222-2-222000000000000000000000000000000000000000000000000000
χ554444-2444-4-4-2-244-24-2-4-2-2-22-4-242-4-24002-42222-2-2000000000000000000000000000000000000000000000000000
χ564444-24-4-444-2-244-24-2-4-2-2-2-242-4-242-4002-422-2-222000000000000000000000000000000000000000000000000000
χ574444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-244-2-211111100000000000000000000-2-2-2-2111100000000000000000000000
χ584444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-4-4-2-2111111000000000000000000002222-1-1-1-100000000000000000000000
χ594444-2-244-4-4-2-2-2-2-2-21-411122-2-222-2-20022-1-1-1-1110000000000000000000000003-33-300000000000000000000000
χ604444-2-244-4-4-2-2-2-2-2-21-411122-2-222-2-20022-1-1-1-111000000000000000000000000-33-3300000000000000000000000
χ614444-2-2-4-444-2-2-2-2-2-21-4111-2-222-2-2220022-1-111-1-10000000000000000000000003-3-3300000000000000000000000
χ624444-2-2-4-444-2-2-2-2-2-21-4111-2-222-2-2220022-1-111-1-1000000000000000000000000-333-300000000000000000000000
χ634444-2-2-4-4-4-4-2-2-2-2-2-214111222222224-4-2-211-1-1-1-100000000000000000000-2-22211-1-100000000000000000000000
χ644444-2-2-4-4-4-4-2-2-2-2-2-21411122222222-44-2-211-1-1-1-10000000000000000000022-2-2-1-11100000000000000000000000
χ6544-4-4440000-44-44-4-440-44-40000000000000000004-4-4400000000000000000000000000000000000000000000000
χ6644-4-4440000-44-44-4-440-44-4000000000000000000-444-400000000000000000000000000000000000000000000000
χ674-44-44-24-400-4-4224-2-2022-2004200-4-200000000-22000000000000000022−2222−22000000000000000000000000−22−22000
χ684-44-44-24-400-4-4224-2-2022-2004200-4-200000000-220000000000000000−2222−22220000000000000000000000002−22−2000
χ694-44-44-2-4400-4-4224-2-2022-200-4-20042000000002-200000000000000002i2−2i2−2i22i2000000000000000000000000−i2i2i2−i2000
χ704-44-44-2-4400-4-4224-2-2022-200-4-20042000000002-20000000000000000−2i22i22i2−2i2000000000000000000000000i2−i2−i2i2000
χ714-44-4-244-40022-4-4-24-2022-200-2-4002400000000-22000000002i2−2i22i2−2i2000000000000000000000000−i2i2−i2i200000000000
χ724-44-4-244-40022-4-4-24-2022-200-2-4002400000000-2200000000−2i22i2−2i22i2000000000000000000000000i2−i2i2−i200000000000
χ734-44-4-24-440022-4-4-24-2022-2002400-2-4000000002-20000000022−22−2222000000000000000000000000−222−200000000000
χ744-44-4-24-440022-4-4-24-2022-2002400-2-4000000002-200000000−222222−220000000000000000000000002−2−2200000000000
χ754-4-444-2004-44-4-22-42-20-2224200-4-200000000-22000000000000002i2−2i22i2−2i2000000000000000000000000−i2i2−i2i20000000
χ764-4-444-2004-44-4-22-42-20-2224200-4-200000000-2200000000000000−2i22i2−2i22i2000000000000000000000000i2−i2i2−i20000000
χ774-4-444-200-444-4-22-42-20-222-4-20042000000002-20000000000000022−22−2222000000000000000000000000−222−20000000
χ784-4-444-200-444-4-22-42-20-222-4-20042000000002-200000000000000−222222−220000000000000000000000002−2−220000000
χ794-4-44-24004-4-224-42-4-20-222-2-4002400000000-2200000022−2222−22000000000000000000000000−22−22000000000000000
χ804-4-44-24004-4-224-42-4-20-222-2-4002400000000-22000000−2222−22220000000000000000000000002−22−2000000000000000
χ814-4-44-2400-44-224-42-4-20-2222400-2-4000000002-20000002i2−2i2−2i22i2000000000000000000000000−i2i2i2−i2000000000000000
χ824-4-44-2400-44-224-42-4-20-2222400-2-4000000002-2000000−2i22i22i2−2i2000000000000000000000000i2−i2−i2i2000000000000000
χ8388-8-88-40000-884-4-84-404-44000000000000000000000000000000000000000000000000000000000000000000000
χ8488-8-8-4800004-4-884-8-404-44000000000000000000000000000000000000000000000000000000000000000000000
χ8588-8-8-4-400004-44-44420-22-20000000000006-60000000000000000000000000000000000000000000000000000000
χ8688-8-8-4-400004-44-44420-22-2000000000000-660000000000000000000000000000000000000000000000000000000
χ878-88-8-4-48-8004444-4-420-2-2200-44004-4000000002-2000000000000000000000000000000000000000000000000000
χ888-88-8-4-4-88004444-4-420-2-22004-400-4400000000-22000000000000000000000000000000000000000000000000000
χ898-8-88-4-4008-8-44-4444202-2-2-44004-4000000002-200000000000000000000000000000000000000000000000000000
χ908-8-88-4-400-88-44-4444202-2-24-400-4400000000-2200000000000000000000000000000000000000000000000000000

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