Finite Group Databasebeta

← Group #11867773

Character table — Group #11867773

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444446666888888888888888812121212121212121212161616161616181818182424242424242424242424242424363648487272
order1222334466666636668812121212224444121212121212242424242424242424668888121212121212121288884444612121212122424242424121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-11111-1-111111111-1-1-1-111-1-1-11111-111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-11-1-1-1-11111111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-11111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111
χ5111111111111111111111111-1-1-1-1111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-1111-1-1-1-11-1-111-1-111-1-1
χ6111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111-1-1-1-1-11111-1-1
χ9111111111111111111-1-1111111111-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111-111-1-1-1-1-1-11-11-1111-1-11-1-1-1-1111-1-11
χ10111111111111111111-1-1111111111-111-1-111-1-1-1-1-1-1-1-1-1-111-1-111111-111-1-111111-1-11-111-1-1-1-1-111-1-1-111-1
χ11111111111111111111-1-111111111-11-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-11-1-111-1-1-1-1-11-111-1-1111-1-1-1-111-111-1
χ12111111111111111111-1-111111111-11-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-11-1-1111111-111-1-1-1-111-1-1-111-1-11-1-11
χ13111111111111111111-1-11111-1-1-1-11-111-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-11-111-1-11111-111-11-1-111111-1-1-1-11-11-1
χ14111111111111111111-1-11111-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-111-1-1-1-1-1-1-11-11-1-1-111-1111111-11-11
χ15111111111111111111-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-11-1-11111111-1-11111-1-1111-1-1-1-1-11-11
χ16111111111111111111-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11-1-111-1-1-1-11-11-1-111-1-1-11111111-11-1
χ17222222-2-2222222222200-2-2-2-222-2-2000000-2-2000000002-2220000-2-20000000000000020000-20000-220000
χ18222222-2-2222222222200-2-2-2-222-2-2000000-2-200000000-22220000-2-200000000000000-20000200002-20000
χ19222222-2-2222222222200-2-2-2-2-2-222000000-2-2000000002-2-2-20000220000000000000020000-200002-20000
χ20222222-2-2222222222200-2-2-2-2-2-222000000-2-200000000-22-2-200002200000000000000-2000020000-220000
χ2122222-12222-1-1-12-1-1-1-122-12-12222222-1-1-1-1-1-122-1-1-1-1-1-100-1-12200-1-122-1-1-1-1000022000-1-1-1-10-1-100000000
χ2222222-12222-1-1-12-1-1-1-122-12-122222-2-21111-1-122-1-1-1-1-1-100-1-12200-1-1-2-211110000-2-200011110-1-100000000
χ2322222-12222-1-1-12-1-1-1-122-12-12-2-2-2-222-1-1-1-1-1-122-1-1-1-1-1-10011-2-2001122-1-1-1-10000-2-2000111101100000000
χ2422222-12222-1-1-12-1-1-1-122-12-12-2-2-2-2-2-21111-1-122-1-1-1-1-1-10011-2-20011-2-21111000022000-1-1-1-101100000000
χ2522222-12222-1-1-12-1-1-1-1-2-2-12-1222222-2-1-111-1-1-2-211111100-1-1-2-200-1-12-2-1-11100002-2000-1-11101100000000
χ2622222-12222-1-1-12-1-1-1-1-2-2-12-122222-2211-1-1-1-1-2-211111100-1-1-2-200-1-1-2211-1-10000-2200011-1-101100000000
χ2722222-12222-1-1-12-1-1-1-1-2-2-12-12-2-2-2-22-2-1-111-1-1-2-211111100112200112-2-1-1110000-2200011-1-10-1-100000000
χ2822222-12222-1-1-12-1-1-1-1-2-2-12-12-2-2-2-2-2211-1-1-1-1-2-21111110011220011-2211-1-100002-2000-1-1110-1-100000000
χ292222-1222-1-1222-1-1-1-1-1222-12-10000222222-1-1-1-122-1-1-1-12200002200-1-1-1-1-1-100000022-10000-100-1-100-1-100
χ302222-1222-1-1222-1-1-1-1-1222-12-10000222222-1-1-1-122-1-1-1-1-2-20000-2-200-1-1-1-1-1-1000000-2-21000010011001100
χ312222-1222-1-1222-1-1-1-1-1222-12-10000-2-2-2-2-2-2-1-1-1-122-1-1-1-12200002200111111000000-2-2-10000-100-1-1001100
χ322222-1222-1-1222-1-1-1-1-1222-12-10000-2-2-2-2-2-2-1-1-1-122-1-1-1-1-2-20000-2-20011111100000022100001001100-1-100
χ332222-1222-1-1222-1-1-1-1-1-2-22-12-100002-222-2-2-1-111-2-21111220000-2-200-11-1-1110000002-2-10000-1001100-1100
χ342222-1222-1-1222-1-1-1-1-1-2-22-12-100002-222-2-2-1-111-2-21111-2-200002200-11-1-111000000-2210000100-1-1001-100
χ352222-1222-1-1222-1-1-1-1-1-2-22-12-10000-22-2-222-1-111-2-21111220000-2-2001-111-1-1000000-22-10000-10011001-100
χ362222-1222-1-1222-1-1-1-1-1-2-22-12-10000-22-2-222-1-111-2-21111-2-2000022001-111-1-10000002-210000100-1-100-1100
χ372-2-22222-2-2-2-22-2222-2-20022-2-22-22-20000002-200000000002-2002i−2i2-20000002i2i−2i−2i0000000000002i−2i000000
χ382-2-22222-2-2-2-22-2222-2-20022-2-22-22-20000002-200000000002-200−2i2i2-2000000−2i−2i2i2i000000000000−2i2i000000
χ392-2-22222-2-2-2-22-2222-2-20022-2-2-22-220000002-20000000000-22002i−2i-22000000−2i−2i2i2i0000000000002i−2i000000
χ402-2-22222-2-2-2-22-2222-2-20022-2-2-22-220000002-20000000000-2200−2i2i-220000002i2i−2i−2i000000000000−2i2i000000
χ412-2-2222-22-2-2-22-2222-2-22-2-2-2222-2-22000000-222-22-222-2-2002-22-200-22000000000000000000002-200000000
χ422-2-2222-22-2-2-22-2222-2-22-2-2-222-222-2000000-222-22-222-2-200-22-22002-200000000000000000000-2200000000
χ432-2-2222-22-2-2-22-2222-2-2-22-2-2222-2-22000000-22-22-22-2-222002-2-2200-2200000000000000000000-2200000000
χ442-2-2222-22-2-2-22-2222-2-2-22-2-222-222-2000000-22-22-22-2-22200-222-2002-2000000000000000000002-200000000
χ452-2-222-1-22-2-21-112-1-1112-21-2-122-2-22003−33−31-12-2-11-1-11100-112-2001-1003−33−30000000003−33−30-1100000000
χ462-2-222-1-22-2-21-112-1-1112-21-2-122-2-2200−33−331-12-2-11-1-11100-112-2001-100−33−33000000000−33−330-1100000000
χ472-2-222-1-22-2-21-112-1-1112-21-2-12-222-2003−33−31-12-2-11-1-111001-1-2200-11003−33−3000000000−33−3301-100000000
χ482-2-222-1-22-2-21-112-1-1112-21-2-12-222-200−33−331-12-2-11-1-111001-1-2200-1100−33−330000000003−33−301-100000000
χ492-2-222-1-22-2-21-112-1-111-221-2-122-2-22003−3−331-1-221-111-1-100-11-22001-1003−3−330000000003−3−3301-100000000
χ502-2-222-1-22-2-21-112-1-111-221-2-122-2-2200−333−31-1-221-111-1-100-11-22001-100−333−3000000000−333−301-100000000
χ512-2-222-1-22-2-21-112-1-111-221-2-12-222-2003−3−331-1-221-111-1-1001-12-200-11003−3−33000000000−333−30-1100000000
χ522-2-222-1-22-2-21-112-1-111-221-2-12-222-200−333−31-1-221-111-1-1001-12-200-1100−333−30000000003−3−330-1100000000
χ5344444-2-4-444-2-2-24-2-2-2-2002-42-444-4-4000000220000000000-2-2000022000000000000000000000000000000
χ5444444-2-4-444-2-2-24-2-2-2-2002-42-4-4-444000000220000000000220000-2-2000000000000000000000000000000
χ554444-24-4-4-2-2444-2-2-2-2-200-42-42000000000022000000004-40000000000000000000000-2000020000000000
χ564444-24-4-4-2-2444-2-2-2-2-200-42-4200000000002200000000-44000000000000000000000020000-20000000000
χ574444-2-244-2-2-2-2-2-2111144-2-2-2-2000044-2-2-2-211-2-2-2-211110000000000-2-21111000000000000000000000000
χ584444-2-244-2-2-2-2-2-2111144-2-2-2-20000-4-4222211-2-2-2-21111000000000022-1-1-1-1000000000000000000000000
χ594444-2-244-2-2-2-2-2-21111-4-4-2-2-2-200004-4-2-222112222-1-1-1-10000000000-2211-1-1000000000000000000000000
χ604444-2-244-2-2-2-2-2-21111-4-4-2-2-2-20000-4422-2-2112222-1-1-1-100000000002-2-1-111000000000000000000000000
χ6144-4-444004-44-4-4-44-44-400000000000000000000000000000000000000000022−2222−2200000000000000000000
χ6244-4-444004-44-4-4-44-44-4000000000000000000000000000000000000000000−2222−222200000000000000000000
χ634-44-44400-44-4-44-44-4-44000000000000000000000000000000000000000000−2i22i22i2−2i200000000000000000000
χ644-44-44400-44-4-44-44-4-440000000000000000000000000000000000000000002i2−2i2−2i22i200000000000000000000
χ654-4-444-24-4-4-42-224-2-22200-242-44-44-4000000-220000000000-220000-22000000000000000000000000000000
χ664-4-444-24-4-4-42-224-2-22200-242-4-44-44000000-2200000000002-200002-2000000000000000000000000000000
χ674-4-44-244-422-44-4-2-2-222004-2-420000000000-22000000000000004i−4i000000000000000000000000−2i2i000000
χ684-4-44-244-422-44-4-2-2-222004-2-420000000000-2200000000000000−4i4i0000000000000000000000002i−2i000000
χ694-4-44-24-4422-44-4-2-2-2224-4-424-200000000002-2-224-4-2-2220000000000000000000000000000000000000000
χ704-4-44-24-4422-44-4-2-2-222-44-424-200000000002-22-2-4422-2-20000000000000000000000000000000000000000
χ714-4-44-2-2-44222-22-211-1-14-422-2-200000023−2323−23-11-22-2211-1-1000000000000−33−33000000000000000000000000
χ724-4-44-2-2-44222-22-211-1-14-422-2-2000000−2323−2323-11-22-2211-1-10000000000003−33−3000000000000000000000000
χ734-4-44-2-2-44222-22-211-1-1-4422-2-200000023−23−2323-112-22-2-1-111000000000000−333−3000000000000000000000000
χ744-4-44-2-2-44222-22-211-1-1-4422-2-2000000−232323−23-112-22-2-1-1110000000000003−3−33000000000000000000000000
χ758888-4-4-8-8-4-4-4-4-4-422220044440000000000-2-2000000000000000000000000000000000000000000000000
χ7688-8-88-4008-8-444-8-44-44000000000000000000000000000000000000000000000000000000000000000000
χ7788-8-8-4800-448-8-84-44-44000000000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-4-400-44-44442-22-20000000000000000000000−3i23i2−3i23i20000000000000000000000000000000000000000
χ7988-8-8-4-400-44-44442-22-200000000000000000000003i2−3i23i2−3i20000000000000000000000000000000000000000
χ808-88-88-400-8844-4-8-444-4000000000000000000000000000000000000000000000000000000000000000000
χ818-88-8-48004-4-8-884-444-4000000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-4004-444-442-2-220000000000000000000000−3i23i23i2−3i20000000000000000000000000000000000000000
χ838-88-8-4-4004-444-442-2-2200000000000000000000003i2−3i2−3i23i20000000000000000000000000000000000000000
χ848-8-88-4-48-8444-44-422-2-200-4-44400000000002-2000000000000000000000000000000000000000000000000

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