Finite Group Databasebeta

← Group #11776166

Character table — Group #11776166

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222224444444444444888888888899991212121212121212121212121212121216161616161616161818181824242424242424242424242424242424367272
order1222334444666666346661212121212121212441212121212121212222288888888888888881212121212121212444424242424242424242424242424242424444
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
χ9111111-1-1-1-111111111111-1-1-1-1-1-1-1-11-111-1-1-1-1111111ii−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
χ10111111-1-1-1-111111111111-1-1-1-1-1-1-1-11-111-1-1-1-1111111−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
χ11111111-1-1-1-111111111111-1-1-1-1-1-1-1-11-111-1-1-1-111-1-1-1-1ii−i−iii−i−i−i−iii−i−iii11-1-111-1-11111ii−i−iii−i−i−i−iii−i−iii-1-11
χ12111111-1-1-1-111111111111-1-1-1-1-1-1-1-11-111-1-1-1-111-1-1-1-1−i−iii−i−iiiii−i−iii−i−i11-1-111-1-11111−i−iii−i−iiiii−i−iii−i−i-1-11
χ13111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1111111ii−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
χ14111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1111111−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
χ15111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i-1-111-1-1111111ii−i−i−i−iii−i−iiiii−i−i-11-1
χ16111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii-1-111-1-1111111−i−iiiii−i−iii−i−i−i−iii-11-1
χ172222222-22-22222222-222222-2-222-2-200-2-222-2-2-2-2222200000000000000000000000022-2-20000000000000000-200
χ182222222-22-22222222-222222-2-222-2-200-2-222-2-2-2-2-2-2-2-2000000000000000000000000-2-2220000000000000000200
χ19222222-22-222222222-2222-2-222-2-22200-2-2-2-222-2-22222000000000000000000000000-2-2220000000000000000-200
χ20222222-22-222222222-2222-2-222-2-22200-2-2-2-222-2-2-2-2-2-200000000000000000000000022-2-20000000000000000200
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
χ2522222-1-2-2-2-222-1-12-1-12-1-1-1-21-21-21-212-22-11111-1-10000000000002i2i−2i−2i2i2i−2i−2i2-1-21-1-111000000000000−i−iii−i−iii000
χ2622222-1-2-2-2-222-1-12-1-12-1-1-1-21-21-21-212-22-11111-1-1000000000000−2i−2i2i2i−2i−2i2i2i2-1-21-1-111000000000000ii−i−iii−i−i000
χ2722222-1-2-2-2-222-1-12-1-12-1-1-1-21-21-21-21-222-11111-1-10000000000002i2i−2i−2i−2i−2i2i2i-212-111-1-1000000000000−i−iiiii−i−i000
χ2822222-1-2-2-2-222-1-12-1-12-1-1-1-21-21-21-21-222-11111-1-1000000000000−2i−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
χ332222-12-2-2-2-2-1-122-12-12-1-1-11-21-21-21-22-2-121111-1-100002i2i−2i−2i2i2i−2i−2i00000000-121-2-1-1110000−i−iii−i−iii00000000000
χ342222-12-2-2-2-2-1-122-12-12-1-1-11-21-21-21-22-2-121111-1-10000−2i−2i2i2i−2i−2i2i2i00000000-121-2-1-1110000ii−i−iii−i−i00000000000
χ352222-12-2-2-2-2-1-122-12-12-1-1-11-21-21-21-2-22-121111-1-100002i2i−2i−2i−2i−2i2i2i000000001-2-1211-1-10000−i−iiiii−i−i00000000000
χ362222-12-2-2-2-2-1-122-12-12-1-1-11-21-21-21-2-22-121111-1-10000−2i−2i2i2i2i2i−2i−2i000000001-2-1211-1-10000ii−i−i−i−iii00000000000
χ3722-2-222020-22-22-2-2-2202-2-2002200-2-20000002-20022-2-22−22−200002−22−2000000000000002-22−22−200002−22−20000000
χ3822-2-222020-22-22-2-2-2202-2-2002200-2-20000002-20022-2-2−22−220000−22−22000000000000002-2−22−220000−22−220000000
χ3922-2-222020-22-22-2-2-2202-2-2002200-2-20000002-200-2-2222−22−20000−22−2200000000000000-222−22−20000−22−220000000
χ4022-2-222020-22-22-2-2-2202-2-2002200-2-20000002-200-2-222−22−2200002−22−200000000000000-22−22−2200002−22−20000000
χ4122-2-2220-2022-22-2-2-2202-2-200-2-20022000000-220022-2-2i2−i2−i2i20000i2−i2−i2i200000000000000-22i2−i2−i2i20000i2−i2−i2i20000000
χ4222-2-2220-2022-22-2-2-2202-2-200-2-20022000000-220022-2-2−i2i2i2−i20000−i2i2i2−i200000000000000-22−i2i2i2−i20000−i2i2i2−i20000000
χ4322-2-2220-2022-22-2-2-2202-2-200-2-20022000000-2200-2-222i2−i2−i2i20000−i2i2i2−i2000000000000002-2i2−i2−i2i20000−i2i2i2−i20000000
χ4422-2-2220-2022-22-2-2-2202-2-200-2-20022000000-2200-2-222−i2i2i2−i20000i2−i2−i2i2000000000000002-2−i2i2i2−i20000i2−i2−i2i20000000
χ452-22-22220-20-22-22-2-220-22-22200-2-20000002-200002-22-200002−22−200002−22−2000000002-20000002−22−200002−22−2000
χ462-22-22220-20-22-22-2-220-22-22200-2-20000002-200002-22-20000−22−220000−22−22000000002-2000000−22−220000−22−22000
χ472-22-22220-20-22-22-2-220-22-22200-2-20000002-20000-22-2200002−22−20000−22−2200000000-220000002−22−20000−22−22000
χ482-22-22220-20-22-22-2-220-22-22200-2-20000002-20000-22-220000−22−2200002−22−200000000-22000000−22−2200002−22−2000
χ492-22-222-2020-22-22-2-220-22-2-2-20022000000-2200002-22-20000i2−i2−i2i20000i2−i2−i2i200000000-22000000i2−i2−i2i20000i2−i2−i2i2000
χ502-22-222-2020-22-22-2-220-22-2-2-20022000000-2200002-22-20000−i2i2i2−i20000−i2i2i2−i200000000-22000000−i2i2i2−i20000−i2i2i2−i2000
χ512-22-222-2020-22-22-2-220-22-2-2-20022000000-220000-22-220000i2−i2−i2i20000−i2i2i2−i2000000002-2000000i2−i2−i2i20000−i2i2i2−i2000
χ522-22-222-2020-22-22-2-220-22-2-2-20022000000-220000-22-220000−i2i2i2−i20000i2−i2−i2i2000000002-2000000−i2i2i2−i20000i2−i2−i2i2000
χ5344444-24-44-444-2-24-2-2-4-2-2-24-2-424-2-4200-42-2-22222000000000000000000000000000000000000000000000000000
χ5444444-2-44-4444-2-24-2-2-4-2-2-2-424-2-424-200-4222-2-222000000000000000000000000000000000000000000000000000
χ554444-244-44-4-2-244-24-2-4-2-2-2-242-4-242-4002-4-2-22222000000000000000000000000000000000000000000000000000
χ564444-24-44-44-2-244-24-2-4-2-2-22-4-242-4-24002-422-2-222000000000000000000000000000000000000000000000000000
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
χ594444-2-24-44-4-2-2-2-2-2-21-4111-2-222-2-222002211-1-1-1-10000000000000000000000003-33-300000000000000000000000
χ604444-2-24-44-4-2-2-2-2-2-21-4111-2-222-2-222002211-1-1-1-1000000000000000000000000-33-3300000000000000000000000
χ614444-2-2-44-44-2-2-2-2-2-21-411122-2-222-2-20022-1-111-1-10000000000000000000000003-3-3300000000000000000000000
χ624444-2-2-44-44-2-2-2-2-2-21-411122-2-222-2-20022-1-111-1-1000000000000000000000000-333-300000000000000000000000
χ634444-2-2-4-4-4-4-2-2-2-2-2-214111222222224-4-2-2-1-1-1-11100000000000000000000-2-22211-1-100000000000000000000000
χ644444-2-2-4-4-4-4-2-2-2-2-2-21411122222222-44-2-2-1-1-1-1110000000000000000000022-2-2-1-11100000000000000000000000
χ6544-4-44-2040-44-4-22-42-20-222004-200-42000000-220000000000000022−2222−22000000000000000000000000−22−220000000
χ6644-4-44-2040-44-4-22-42-20-222004-200-42000000-2200000000000000−2222−22220000000000000000000000002−22−20000000
χ6744-4-44-20-4044-4-22-42-20-22200-42004-20000002-2000000000000002i2−2i2−2i22i2000000000000000000000000−i2i2i2−i20000000
χ6844-4-44-20-4044-4-22-42-20-22200-42004-20000002-200000000000000−2i22i22i2−2i2000000000000000000000000i2−i2−i2i20000000
χ6944-4-4-24040-4-224-42-4-20-22200-24002-4000000-2200000022−2222−22000000000000000000000000−22−22000000000000000
χ7044-4-4-24040-4-224-42-4-20-22200-24002-4000000-22000000−2222−22220000000000000000000000002−22−2000000000000000
χ7144-4-4-240-404-224-42-4-20-222002-400-240000002-20000002i2−2i2−2i22i2000000000000000000000000−i2i2i2−i2000000000000000
χ7244-4-4-240-404-224-42-4-20-222002-400-240000002-2000000−2i22i22i2−2i2000000000000000000000000i2−i2−i2i2000000000000000
χ734-44-44-240-40-442-2-42-202-224-200-42000000-220000000000000000000022−2222−22000000000000000000000000−22−22000
χ744-44-44-240-40-442-2-42-202-224-200-42000000-2200000000000000000000−2222−22220000000000000000000000002−22−2000
χ754-44-44-2-4040-442-2-42-202-22-42004-20000002-2000000000000000000002i2−2i2−2i22i2000000000000000000000000−i2i2i2−i2000
χ764-44-44-2-4040-442-2-42-202-22-42004-20000002-200000000000000000000−2i22i22i2−2i2000000000000000000000000i2−i2−i2i2000
χ774-44-4-2440-402-2-442-4-202-22-24002-4000000-2200000000000022−2222−22000000000000000000000000−22−2200000000000
χ784-44-4-2440-402-2-442-4-202-22-24002-4000000-22000000000000−2222−22220000000000000000000000002−22−200000000000
χ794-44-4-24-40402-2-442-4-202-222-400-240000002-20000000000002i2−2i2−2i22i2000000000000000000000000−i2i2i2−i200000000000
χ804-44-4-24-40402-2-442-4-202-222-400-240000002-2000000000000−2i22i22i2−2i2000000000000000000000000i2−i2−i2i200000000000
χ814-4-44440000-4-4-4-44440-4-440000000000000000004-4-4400000000000000000000000000000000000000000000000
χ824-4-44440000-4-4-4-44440-4-44000000000000000000-444-400000000000000000000000000000000000000000000000
χ8388-8-8-4-4080-8-44-4444202-2-200-4-400440000002-200000000000000000000000000000000000000000000000000000
χ8488-8-8-4-40-808-44-4444202-2-2004400-4-4000000-2200000000000000000000000000000000000000000000000000000
χ858-88-8-4-480-804-44-44420-22-2-4-400440000002-20000000000000000000000000000000000000000000000000000000
χ868-88-8-4-4-80804-44-44420-22-24400-4-4000000-220000000000000000000000000000000000000000000000000000000
χ878-8-888-40000-8-8448-4-4044-4000000000000000000000000000000000000000000000000000000000000000000000
χ888-8-88-48000044-8-8-48-4044-4000000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-400004444-4-420-2-2200000000000000006-6000000000000000000000000000000000000000000000000000
χ908-8-88-4-400004444-4-420-2-220000000000000000-66000000000000000000000000000000000000000000000000000

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