Finite Group Databasebeta

← Group #11887162

Character table — Group #11887162

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222222444444444444466668888888888888812121212121212121212121212121212121216161616161618181818242424242424242424242424242436367272
order1222334444666666346661212121212121212222222666612121212121212122244446666666688886666668888441212121212121212242424248844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-111111111-1-1-1-1111111-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1-111
χ4111111111111111111111111111111111-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1111111-1-1
χ511111111111111111111111111111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-11-1-1-1-111111111-1-1-1-1
χ611111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-111-1-1
χ811111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1-111-1-1-1-11111-1-111
χ9111111-1-1111111111-1111-1-1111-1-1111-1-11-111-1-1-1-111-1-1-1-1111-11111-1-1111111-1-11-111-1-11111-1-11-1-1-111-1-111-1-1-1-11-1
χ10111111-1-1111111111-1111-1-1111-1-1111-1-11-111-1-1-1-111-1-1-1-1111-1-1-111-1-11111-1-1111-111-1-1-1-1-1-1-111-1-1-1-1-111-1-11111-11
χ11111111-1-1111111111-1111-1-1111-1-1111-1-1-11-1-111-1-111-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-111-11-1-111-1-1-1-11-11-11111-1-1-1-111111-1
χ12111111-1-1111111111-1111-1-1111-1-1111-1-1-11-1-111-1-111-1-1-1-1-1-11-1-1-111-1-1-1-1-1-111-1-1-11-1-1111111111-111-1-11111-1-1-1-1-11
χ13111111-1-1111111111-1111-1-1111-1-11-1-1111-111-1-1-1-111-1-1-1-1-1-1-1111-1-111-1-1-1-111-1-11-111-1-1-1-1-1-11-1-111111-1-111-1-111-11
χ14111111-1-1111111111-1111-1-1111-1-11-1-1111-111-1-1-1-111-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1111-111-1-1111111-1111-1-111-1-111-1-11-1
χ15111111-1-1111111111-1111-1-1111-1-11-1-111-11-1-111-1-111-1-1-1-111-1111-1-1111111-1-111-11-1-1111111-1-1-11-1-111-1-1-1-111-1-1-11
χ16111111-1-1111111111-1111-1-1111-1-11-1-111-11-1-111-1-111-1-1-1-111-11-1-1-1-111111111-1-1-11-1-111-1-1-1-1-11-11-1-1-1-11111-1-1111-1
χ1722222222-2-22222222-222222-2-2-222-22222000000-2-2-2-222-2-200-2-200222200000000000000000000-2-200000000000000
χ1822222222-2-22222222-222222-2-2-222-2-2-2-2-2000000-2-2-2-222-2-2002200-2-2-2-2000000000000000000002200000000000000
χ19222222-2-2-2-222222222222-2-2-2-2-2-2-2-222-2-200000022-2-2-2-22200-220022-2-200000000000000000000-2200000000000000
χ20222222-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-22200000022-2-2-2-222002-200-2-222000000000000000000002-200000000000000
χ2122222-122222-122-1-1-12-1-1-1222-1-1-1-12222222-1-1-1-1-12-1-1-1-1-1-1222200-1-1-1-1-1-1-1-1000022-1-1-1-1000020-1-1-1-1000000000000
χ2222222-122222-122-1-1-12-1-1-1222-1-1-1-122222-2-21111-12-1-1-1-1-1-1-2-22200-1-1-1-111110000-2-211110000-20-1-111000000000000
χ2322222-122222-122-1-1-12-1-1-1222-1-1-1-12-2-2-2-222-1-1-1-1-12-1-1-1-1-1-1-2-2-2-20011111111000022-1-1-1-10000-201111000000000000
χ2422222-122222-122-1-1-12-1-1-1222-1-1-1-12-2-2-2-2-2-21111-12-1-1-1-1-1-122-2-2001111-1-1-1-10000-2-2111100002011-1-1000000000000
χ2522222-122-2-22-122-1-1-1-2-1-1-122-211-1-1-2222200−i3i3−i3i31-211-1-11100-2-200-1-1-1-1−i3−i3i3i3000000−i3i3−i3i300000011−i3i3000000000000
χ2622222-122-2-22-122-1-1-1-2-1-1-122-211-1-1-2222200i3−i3i3−i31-211-1-11100-2-200-1-1-1-1i3i3−i3−i3000000i3−i3i3−i300000011i3−i3000000000000
χ2722222-122-2-22-122-1-1-1-2-1-1-122-211-1-1-2-2-2-2-200−i3i3−i3i31-211-1-1110022001111i3i3−i3−i3000000−i3i3−i3i3000000-1-1i3−i3000000000000
χ2822222-122-2-22-122-1-1-1-2-1-1-122-211-1-1-2-2-2-2-200i3−i3i3−i31-211-1-1110022001111−i3−i3i3i3000000i3−i3i3−i3000000-1-1−i3i3000000000000
χ2922222-1-2-2222-122-1-1-1-2-1-1-1-2-22-1-111222-2-22-2-1-1111-2-1-11111222-200-1-111-1-1-1-100002-2-1-1110000-20-1111000000000000
χ3022222-1-2-2222-122-1-1-1-2-1-1-1-2-22-1-111222-2-2-2211-1-11-2-1-11111-2-22-200-1-11111110000-2211-1-1000020-11-1-1000000000000
χ3122222-1-2-2222-122-1-1-1-2-1-1-1-2-22-1-1112-2-2222-2-1-1111-2-1-11111-2-2-220011-1-1111100002-2-1-1110000201-1-1-1000000000000
χ3222222-1-2-2222-122-1-1-1-2-1-1-1-2-22-1-1112-2-222-2211-1-11-2-1-1111122-220011-1-1-1-1-1-10000-2211-1-10000-201-111000000000000
χ3322222-1-2-2-2-22-122-1-1-12-1-1-1-2-2-21111-222-2-200−i3i3i3−i3-121111-1-100-2200-1-111−i3−i3i3i3000000−i3i3i3−i30000001-1i3−i3000000000000
χ3422222-1-2-2-2-22-122-1-1-12-1-1-1-2-2-21111-222-2-200i3−i3−i3i3-121111-1-100-2200-1-111i3i3−i3−i3000000i3−i3−i3i30000001-1−i3i3000000000000
χ3522222-1-2-2-2-22-122-1-1-12-1-1-1-2-2-21111-2-2-22200−i3i3i3−i3-121111-1-1002-20011-1-1i3i3−i3−i3000000−i3i3i3−i3000000-11−i3i3000000000000
χ3622222-1-2-2-2-22-122-1-1-12-1-1-1-2-2-21111-2-2-22200i3−i3−i3i3-121111-1-1002-20011-1-1−i3−i3i3i3000000i3−i3−i3i3000000-11i3−i3000000000000
χ372222-122222-12-1-122-12-1-1-1-1-1-12222-100002222222-1-1-1-1-1-1-1000022000000002222-1-1-1-1-1-10000020000-1-1-1-1-1-1-1-10000
χ382222-122222-12-1-122-12-1-1-1-1-1-12222-100002222222-1-1-1-1-1-1-10000-2-200000000-2-2-2-2-1-1-1-1-1-100000-20000111111110000
χ392222-122222-12-1-122-12-1-1-1-1-1-12222-10000-2-2-2-2-2-22-1-1-1-1-1-1-100002200000000-2-2-2-21111110000020000-1-1-1-111110000
χ402222-122222-12-1-122-12-1-1-1-1-1-12222-10000-2-2-2-2-2-22-1-1-1-1-1-1-10000-2-200000000222211111100000-200001111-1-1-1-10000
χ412222-12-2-222-12-1-122-1-2-1-1-111-122-2-2-100002-222-2-2-21-1-111110000220000000022-2-2-11-1-11100000-20000-1-111-1-1110000
χ422222-12-2-222-12-1-122-1-2-1-1-111-122-2-2-100002-222-2-2-21-1-111110000-2-200000000-2-222-11-1-111000002000011-1-111-1-10000
χ432222-12-2-222-12-1-122-1-2-1-1-111-122-2-2-10000-22-2-222-21-1-1111100002200000000-2-2221-111-1-100000-20000-1-11111-1-10000
χ442222-12-2-222-12-1-122-1-2-1-1-111-122-2-2-10000-22-2-222-21-1-111110000-2-20000000022-2-21-111-1-1000002000011-1-1-1-1110000
χ4522-2-2222-2002-2-2-22-2202-2-22-20002-202-22-200000000002-2000000002-22-20000−i2i2−i2i2000000−i2−i2i2i20000000000−i2i2−i2i2−i2i200
χ4622-2-2222-2002-2-2-22-2202-2-22-20002-202-22-200000000002-2000000002-22-20000i2−i2i2−i2000000i2i2−i2−i20000000000i2−i2i2−i2i2−i200
χ4722-2-2222-2002-2-2-22-2202-2-22-20002-20-22-2200000000002-200000000-22-220000−i2i2−i2i2000000i2i2−i2−i20000000000−i2i2−i2i2i2−i200
χ4822-2-2222-2002-2-2-22-2202-2-22-20002-20-22-2200000000002-200000000-22-220000i2−i2i2−i2000000−i2−i2i2i20000000000i2−i2i2−i2−i2i200
χ4922-2-222-22002-2-2-22-2202-2-2-22000-2202-2-220000000000-22000000002-2-220000−i2i2i2−i2000000−i2−i2i2i20000000000−i2i2i2−i2i2−i200
χ5022-2-222-22002-2-2-22-2202-2-2-22000-2202-2-220000000000-22000000002-2-220000i2−i2−i2i2000000i2i2−i2−i20000000000i2−i2−i2i2−i2i200
χ5122-2-222-22002-2-2-22-2202-2-2-22000-220-222-20000000000-2200000000-222-20000−i2i2i2−i2000000i2i2−i2−i20000000000−i2i2i2−i2−i2i200
χ5222-2-222-22002-2-2-22-2202-2-2-22000-220-222-20000000000-2200000000-222-20000i2−i2−i2i2000000−i2−i2i2i20000000000i2−i2−i2i2i2−i200
χ532-22-222002-2-2-22-2-2220-22-20022-200-20000000000002-200002-2002i−2i00002-22-200000000002i−2i2i−2i0000002i−2i0000000000
χ542-22-222002-2-2-22-2-2220-22-20022-200-20000000000002-200002-200−2i2i00002-22-20000000000−2i2i−2i2i000000−2i2i0000000000
χ552-22-222002-2-2-22-2-2220-22-20022-200-20000000000002-20000-22002i−2i0000-22-220000000000−2i2i−2i2i0000002i−2i0000000000
χ562-22-222002-2-2-22-2-2220-22-20022-200-20000000000002-20000-2200−2i2i0000-22-2200000000002i−2i2i−2i000000−2i2i0000000000
χ574444-2444-4-4-24-2-244-2-4-2-2-2-2-22-4-44420000000000-4222-2-2220000000000000000000000000000000000000000000000
χ584444-24-4-4-4-4-24-2-244-24-2-2-2222-4-4-4-4200000000004-22222-2-20000000000000000000000000000000000000000000000
χ594444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2000044-2-2-2-2-2-2111111000000000000000000-2-211110000000000000000000000
χ604444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-20000-4-42222-2-211111100000000000000000022-1-1-1-10000000000000000000000
χ614444-2-244-4-4-2-2-2-2-2-21-4111-2-2222-2-22000000−2i32i3−2i32i322-1-111-1-100000000000000000000i3−i3i3−i30000000000000000000000
χ624444-2-244-4-4-2-2-2-2-2-21-4111-2-2222-2-220000002i3−2i32i3−2i322-1-111-1-100000000000000000000−i3i3−i3i30000000000000000000000
χ634444-2-2-4-444-2-2-2-2-2-21-411122-2-2-222-200004-4-2-2222211-1-1-1-1000000000000000000-2211-1-10000000000000000000000
χ644444-2-2-4-444-2-2-2-2-2-21-411122-2-2-222-20000-4422-2-22211-1-1-1-10000000000000000002-2-1-1110000000000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-21411122222222000000−2i32i32i3−2i3-2-2-1-1-1-11100000000000000000000i3−i3−i3i30000000000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-214111222222220000002i3−2i3−2i32i3-2-2-1-1-1-11100000000000000000000−i3i3i3−i30000000000000000000000
χ6744-4-44-24-40042-4-4-22-20-2224-4000-2204-44-40000000000-2200000000-22-22000000000000000000000000000000000000
χ6844-4-44-24-40042-4-4-22-20-2224-4000-220-44-440000000000-22000000002-22-2000000000000000000000000000000000000
χ6944-4-44-2-440042-4-4-22-20-222-440002-204-4-4400000000002-200000000-222-2000000000000000000000000000000000000
χ7044-4-44-2-440042-4-4-22-20-222-440002-20-444-400000000002-2000000002-2-22000000000000000000000000000000000000
χ7144-4-4-244-400-2-4224-4-20-222-220004-4000000000000000-220000000000000000−2i22i2−2i22i200000000000000000000i2−i2i2−i20000
χ7244-4-4-244-400-2-4224-4-20-222-220004-4000000000000000-2200000000000000002i2−2i22i2−2i200000000000000000000−i2i2−i2i20000
χ7344-4-4-24-4400-2-4224-4-20-2222-2000-440000000000000002-20000000000000000−2i22i22i2−2i200000000000000000000i2−i2−i2i20000
χ7444-4-4-24-4400-2-4224-4-20-2222-2000-440000000000000002-200000000000000002i2−2i2−2i22i200000000000000000000−i2i2i2−i20000
χ754-44-44400-44-4-44-4-4440-44-400-4-44004000000000000-4400000000000000000000000000000000000000000000000000
χ764-44-44-2004-4-424-42-2-202-22004-2200-4000000000000-2200004-400000000-22-2200000000000000000000000000000000
χ774-44-44-2004-4-424-42-2-202-22004-2200-4000000000000-220000-44000000002-22-200000000000000000000000000000000
χ784-44-44-200-44-424-42-2-202-2200-42-20040000000000002-200000000000000−2i32i32i3−2i300000000000000000000000000000000
χ794-44-44-200-44-424-42-2-202-2200-42-20040000000000002-2000000000000002i3−2i3−2i32i300000000000000000000000000000000
χ804-44-4-24004-42-4-22-44-202-2200-24-4002000000000000-22000000004i−4i0000000000000000000000000000−2i2i0000000000
χ814-44-4-24004-42-4-22-44-202-2200-24-4002000000000000-2200000000−4i4i00000000000000000000000000002i−2i0000000000
χ824-44-4-2400-442-4-22-44-202-22002-4400-20000000000002-20000000000000000000000000000000000000000−2i32i300000000
χ834-44-4-2400-442-4-22-44-202-22002-4400-20000000000002-200000000000000000000000000000000000000002i3−2i300000000
χ844-4-44440000-44-44-4-440-4-440000000000000000000000000000000000000000000000000022−22−2222000000000000000000
χ854-4-44440000-44-44-4-440-4-4400000000000000000000000000000000000000000000000000−222222−22000000000000000000
χ8688-8-8-4-48-800-4444-44202-2-2-44000-440000000000000002-2000000000000000000000000000000000000000000000000
χ8788-8-8-4-4-8800-4444-44202-2-24-40004-4000000000000000-22000000000000000000000000000000000000000000000000
χ888-88-8-4-4008-844-444-420-22-200-4-440040000000000002-200000000000000000000000000000000000000000000000000
χ898-88-8-4-400-8844-444-420-22-20044-400-4000000000000-2200000000000000000000000000000000000000000000000000
χ908-8-888-40000-8-4-8844-4044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ918-8-88-480000484-4-8-8-4044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-400004-44-44420-2-220000000000000000000000006-60000000000000000000000000000000000000000000000
χ938-8-88-4-400004-44-44420-2-22000000000000000000000000-660000000000000000000000000000000000000000000000

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