Finite Group Databasebeta

← Group #11864464

Character table — Group #11864464

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222244444444444444446666666688888888888888812121212121212121212121212121212161616161624242424242424242424242436363636487272
order122233446666662236668812121212242424242244121212124666612121212242424242424244444668812122424242466121212246812121212121224242444628
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-111-1-1-11111-1-1111111111-11-1-11111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1111-1-1-1-111-1-1-1-1111111-111-1-1-1-11111-1-1-1-11-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ511111111111111111111-1-11111-1-1-1-111111111-11111-1-111-1-1-1-1-1-111111111-1-111-1-1-1-111-1-1-1-1-11-1-1-11111-1-11111-1-1-1
χ611111111111111111111-1-11111-1-1-1-111111111-11111-1-111-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-111-1-1-11-1-11-1-111-1-111-1-1-1-1111
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11-1-1111-1-11111111111-1-1-1-111-111-1-111-1-1-1-1-1-1-111
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-111-1111-1-1-1-11111111-1-1
χ911111111111111-1-11111111111111111111111-1-1-1-1-1-1-1111111111-1-11-1-11111111111-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11
χ1011111111111111-1-11111111111111111111111-1-1-1-1-1-1-111111111-1-1-1-1111111-1-11111-1-1-1-1-11-1-1-1-1-1-1-111-1-1-1-11111-1
χ1111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111-1-111-1-111-11-1
χ1211111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-11-11
χ1311111111111111-1-11111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-11-1-11-1-111-1-111-1-1-1-1-1-1111111-111-1-1-1-1-1-111-1-111-1
χ1411111111111111-1-11111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-11-1111-1-11111-1-111-1-11
χ1511111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-11111-11-1-1-111-1-1-1-1-1-1111-11
χ1611111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-111-111-1-111-1-11111-1-1111-1-1-11-1-111111111-1-1-11-1
χ17222222-2-222222200222200-2-2-2-2000022-2-2-2-2-2-20000000-2-2000000200-2002200-2-2000000000002000000000-2200000
χ18222222-2-222222200222200-2-2-2-2000022-2-2-2-2-2-20000000-2-2000000-20020022002200000000000-20000000002-200000
χ19222222-2-222222200222200-2-2-2-20000-2-22222220000000-2-2000000200-200-2-200-2-20000000000020000000002-200000
χ20222222-2-222222200222200-2-2-2-20000-2-22222220000000-2-2000000-200200-2-2002200000000000-2000000000-2200000
χ2122222-122-12-122-122-1-1-1-1222-1-12222200000000222-1-122-1-1-1-1-1-1-1-12002220000-1-10000-1-1-1-1-120-120000-1-1-1-10000-100
χ2222222-122-12-122-122-1-1-1-1222-1-12222200000000222-1-122-1-1-1-1-1-1-1-1-200-2-2-20000110000-1-1-1-1-1-201-2000011110000100
χ2322222-122-12-122-122-1-1-1-1-2-22-1-12-2-2-2-200000000-222-1-1-2-2-1-11111112002220000-1-10000-1-1111-20-1-20000-1-1110000100
χ2422222-122-12-122-122-1-1-1-1-2-22-1-12-2-2-2-200000000-222-1-1-2-2-1-1111111-200-2-2-20000110000-1-11112012000011-1-10000-100
χ2522222-122-12-122-1-2-2-1-1-1-1222-1-12222200000000-2-2-211-2-2-1-1-1-1-1-1-1-12002-2-20000-1-1000011111-20-12000011-1-10000100
χ2622222-122-12-122-1-2-2-1-1-1-1222-1-12222200000000-2-2-211-2-2-1-1-1-1-1-1-1-1-200-222000011000011111201-20000-1-1110000-100
χ2722222-122-12-122-1-2-2-1-1-1-1-2-22-1-12-2-2-2-2000000002-2-21122-1-11111112002-2-20000-1-1000011-1-1-120-1-2000011110000-100
χ2822222-122-12-122-1-2-2-1-1-1-1-2-22-1-12-2-2-2-2000000002-2-21122-1-1111111-200-222000011000011-1-1-1-20120000-1-1-1-10000100
χ292222-12222-12-1-1222-1-1-1-122-122-1-1-1-1-12222-1-1-1-12-1-122-1-1-1-122-1-1-1-1022000-1-12200-1-1-1-1-1-12-1-10200-1-1-1-100000000000
χ302222-12222-12-1-1222-1-1-1-122-122-1-1-1-1-1-2-2-2-211112-1-122-1-1-1-122-1-1-1-10-2-200011-2-2001111-1-12-1-10-200111100000000000
χ312222-12222-12-1-1222-1-1-1-1-2-2-122-111112222-1-1-1-1-2-1-12211-1-1-2-21111022000-1-1-2-2001111-1-1-2110-20011-1-100000000000
χ322222-12222-12-1-1222-1-1-1-1-2-2-122-11111-2-2-2-21111-2-1-12211-1-1-2-211110-2-2000112200-1-1-1-1-1-1-2110200-1-11100000000000
χ332222-12222-12-1-12-2-2-1-1-1-122-122-1-1-1-1-12222-1-1-1-1-211-2-211-1-122-1-1-1-10-2-2000-1-12200-1-1-1-111-2110-200111100000000000
χ342222-12222-12-1-12-2-2-1-1-1-122-122-1-1-1-1-1-2-2-2-21111-211-2-211-1-122-1-1-1-102200011-2-200111111-2110200-1-1-1-100000000000
χ352222-12222-12-1-12-2-2-1-1-1-1-2-2-122-111112222-1-1-1-1211-2-2-1-1-1-1-2-211110-2-2000-1-1-2-2001111112-1-10200-1-11100000000000
χ362222-12222-12-1-12-2-2-1-1-1-1-2-2-122-11111-2-2-2-21111211-2-2-1-1-1-1-2-21111022000112200-1-1-1-1112-1-10-20011-1-100000000000
χ372-2-22222-2-2-2-2-222002-22-200-22-2200002-22-222-2-20000000-2200000000002-22-20000000000000000000002-200002-2000
χ382-2-22222-2-2-2-2-222002-22-200-22-2200002-22-222-2-20000000-220000000000-222-2000000000000000000000-220000-22000
χ392-2-22222-2-2-2-2-222002-22-200-22-220000-22-22-2-2220000000-2200000000002-2-220000000000000000000002-20000-22000
χ402-2-22222-2-2-2-2-222002-22-200-22-220000-22-22-2-2220000000-220000000000-22-22000000000000000000000-2200002-2000
χ412-2-2222-22-2-2-2-2222-22-22-2002-22-200002-2-22-2-22202-22-2002-200000002-20002-2000000002-20000000002-200000000000
χ422-2-2222-22-2-2-2-2222-22-22-2002-22-20000-222-222-2-202-22-2002-20000000-22000-22000000002-2000000000-2200000000000
χ432-2-2222-22-2-2-2-222-222-22-2002-22-200002-2-22-2-2220-22-22002-20000000-220002-200000000-22000000000-2200000000000
χ442-2-2222-22-2-2-2-222-222-22-2002-22-20000-222-222-2-20-22-22002-200000002-2000-2200000000-220000000002-200000000000
χ452-2-22-12-22-21-21-122-2-11-1100-1-22133−3−32-2-2211-1-10-112-23−3-110033−3−302-2000-11000033−3−3-1103−300003−3-1100000000000
χ462-2-22-12-22-21-21-122-2-11-1100-1-22133−3−3-222-2-1-1110-112-23−3-110033−3−30-220001-10000−3−333-1103−30000−331-100000000000
χ472-2-22-12-22-21-21-122-2-11-1100-1-221−3−3332-2-2211-1-10-112-2−33-1100−3−33302-2000-110000−3−333-110−330000−33-1100000000000
χ482-2-22-12-22-21-21-122-2-11-1100-1-221−3−333-222-2-1-1110-112-2−33-1100−3−3330-220001-1000033−3−3-110−3300003−31-100000000000
χ492-2-22-12-22-21-21-12-22-11-1100-1-22133−3−32-2-2211-1-101-1-22−33-110033−3−30-22000-11000033−3−31-10−330000−331-100000000000
χ502-2-22-12-22-21-21-12-22-11-1100-1-22133−3−3-222-2-1-11101-1-22−33-110033−3−302-20001-10000−3−3331-10−3300003−3-1100000000000
χ512-2-22-12-22-21-21-12-22-11-1100-1-221−3−3332-2-2211-1-101-1-223−3-1100−3−3330-22000-110000−3−3331-103−300003−31-100000000000
χ522-2-22-12-22-21-21-12-22-11-1100-1-221−3−333-222-2-1-11101-1-223−3-1100−3−33302-20001-1000033−3−31-103−30000−33-1100000000000
χ5344444-2-4-4-24-244-200-2-2-2-200-422-4000000000000000000022000000400-40000002200000000000-20000000000000000
χ5444444-2-4-4-24-244-200-2-2-2-200-422-4000000000000000000022000000-4004000000-2-20000000000020000000000000000
χ554444-24-4-44-24-2-2400-2-2-2-2002-4-42000044-4-42222000000022000000000000-2-200000000000000000000000000000000
χ564444-24-4-44-24-2-2400-2-2-2-2002-4-420000-4-444-2-2-2-20000000220000000000002200000000000000000000000000000000
χ574444-2-244-2-2-2-2-2-244111144-2-2-2-2-2-2-2-2000000004-2-2-2-2-2-211-2-21111000000000000000011-2110000000000000000000
χ584444-2-244-2-2-2-2-2-2441111-4-4-2-2-2-2222200000000-4-2-2-2-2221122-1-1-1-10000000000000000112-1-10000000000000000000
χ594444-2-244-2-2-2-2-2-2-4-4111144-2-2-2-2-2-2-2-200000000-422222211-2-211110000000000000000-1-12-1-10000000000000000000
χ604444-2-244-2-2-2-2-2-2-4-41111-4-4-2-2-2-222220000000042222-2-21122-1-1-1-10000000000000000-1-1-2110000000000000000000
χ6144-4-44400-444-4-4-4004-4-4400000000000000000000000000000000000000000−2i22i200−2i22i2−2i22i2000000000000000000000000
χ6244-4-44400-444-4-4-4004-4-44000000000000000000000000000000000000000002i2−2i2002i2−2i22i2−2i2000000000000000000000000
χ6344-4-4-2400-4-2422-400-222-2000000i6−i6i6−i6000023−2323−2300000000000i6−i6i6−i600000000−2i22i200i2−i2i2−i2000000000000000000000000
χ6444-4-4-2400-4-2422-400-222-2000000i6−i6i6−i60000−2323−232300000000000i6−i6i6−i6000000002i2−2i200−i2i2−i2i2000000000000000000000000
χ6544-4-4-2400-4-2422-400-222-2000000−i6i6−i6i6000023−2323−2300000000000−i6i6−i6i6000000002i2−2i200−i2i2−i2i2000000000000000000000000
χ6644-4-4-2400-4-2422-400-222-2000000−i6i6−i6i60000−2323−232300000000000−i6i6−i6i600000000−2i22i200i2−i2i2−i2000000000000000000000000
χ674-44-444004-4-44-4-40044-4-4−2i22i20000−2i22i22i2−2i200000000000000000−2i22i2−2i22i22i2−2i20000000000000000000000000000000000000000
χ684-44-444004-4-44-4-40044-4-42i2−2i200002i2−2i2−2i22i2000000000000000002i2−2i22i2−2i2−2i22i20000000000000000000000000000000000000000
χ694-44-44-200-2-424-4200-2-222−2i22i20000−2i22i22i2−2i200000000000000000i2−i2i2−i2−i2i2000000000023−230000000000000000000i6−i60000000
χ704-44-44-200-2-424-4200-2-222−2i22i20000−2i22i22i2−2i200000000000000000i2−i2i2−i2−i2i20000000000−23230000000000000000000−i6i60000000
χ714-44-44-200-2-424-4200-2-2222i2−2i200002i2−2i2−2i22i200000000000000000−i2i2−i2i2i2−i2000000000023−230000000000000000000−i6i60000000
χ724-44-44-200-2-424-4200-2-2222i2−2i200002i2−2i2−2i22i200000000000000000−i2i2−i2i2i2−i20000000000−23230000000000000000000i6−i60000000
χ734-44-4-240042-4-22-400-2-222−2i22i20000i2−i2−i2i2000023−23−2323000000000−2i22i2i2−i2−i2i2000000000000i6−i6−i6i6000000000000000000000000
χ744-44-4-240042-4-22-400-2-222−2i22i20000i2−i2−i2i20000−232323−23000000000−2i22i2i2−i2−i2i2000000000000−i6i6i6−i6000000000000000000000000
χ754-44-4-240042-4-22-400-2-2222i2−2i20000−i2i2i2−i2000023−23−23230000000002i2−2i2−i2i2i2−i2000000000000−i6i6i6−i6000000000000000000000000
χ764-44-4-240042-4-22-400-2-2222i2−2i20000−i2i2i2−i20000−232323−230000000002i2−2i2−i2i2i2−i2000000000000i6−i6−i6i6000000000000000000000000
χ774-4-444-24-42-42-44-200-22-2200-4-22400000000000000000002-200000000004-400000000000000000000000-22000000000
χ784-4-444-24-42-42-44-200-22-2200-4-22400000000000000000002-20000000000-44000000000000000000000002-2000000000
χ794-4-444-2-442-42-44-24-4-22-220042-2-400000000000004-4-2200-220000000000000000000000-220000000000000000000000
χ804-4-444-2-442-42-44-2-44-22-220042-2-40000000000000-442-200-2200000000000000000000002-20000000000000000000000
χ814-4-44-244-4-42-42-2400-22-220024-4-200004-44-4-2-22200000002-2000000000000-2200000000000000000000000000000000
χ824-4-44-244-4-42-42-2400-22-220024-4-20000-44-4422-2-200000002-20000000000002-200000000000000000000000000000000
χ834-4-44-2-2-442222-2-24-41-11-100-22-222323−23−23000000000-22-2223−231-100−3−33300000000000000001-10−330000000000000000000
χ844-4-44-2-2-442222-2-24-41-11-100-22-22−23−232323000000000-22-22−23231-10033−3−300000000000000001-103−30000000000000000000
χ854-4-44-2-2-442222-2-2-441-11-100-22-222323−23−230000000002-22-2−23231-100−3−3330000000000000000-1103−30000000000000000000
χ864-4-44-2-2-442222-2-2-441-11-100-22-22−23−2323230000000002-22-223−231-10033−3−30000000000000000-110−330000000000000000000
χ878888-4-4-8-8-4-4-4-4-4-40022220044440000000000000000000-2-20000000000000000000000000000000000000000000000
χ8888-8-88-40048-4-8-8400-444-40000000000000000000000000000000000000000000000000000000000000000000000000
χ8988-8-8-4-4004-4-4444002-2-220000002i6−2i62i6−2i60000000000000000000−i6i6−i6i60000000000000000000000000000000000000000
χ9088-8-8-4-4004-4-4444002-2-22000000−2i62i6−2i62i60000000000000000000i6−i6i6−i60000000000000000000000000000000000000000
χ918-88-8-4-400-444-4440022-2-2−4i24i200002i2−2i2−2i22i2000000000000000002i2−2i2−i2i2i2−i20000000000000000000000000000000000000000
χ928-88-8-4-400-444-4440022-2-24i2−4i20000−2i22i22i2−2i200000000000000000−2i22i2i2−i2−i2i20000000000000000000000000000000000000000
χ938-8-88-4-48-84444-4-4002-22-2004-44-40000000000000000000-220000000000000000000000000000000000000000000000

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