Finite Group Databasebeta

← Group #11887562

Character table — Group #11887562

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222222444444444444466668888888888888812121212121212121212121212121212121216161616161618181818242424242424242424242424242436367272
order1222334444666666346661212121212121212222244121212121212121212121212444444666688881212121212121212121288882466121212121212242424248844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-11111-1-1-1-11111111111-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-111-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111-1-1-1-1-1-111
χ4111111111111111111111111111111111-1-111-1-1-1-1111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1
χ511111111111111111111111111111-1-1-1-111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-11-1-1-1-111111111-1-1-1-1
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
χ711111111111111111111111111111-1-1-1-1-1-111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-11111-1-1-1-111-1-1
χ811111111111111111111111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-11111-1-111
χ9111111-1-1111111111-1111-1-1111-1-1111-1-11-1-1-111-1-111-1-1-1-1111-11111-1-111-1-111111-111-1-11111-1-1-1-11-111-1-111-1-1-1-11-1
χ10111111-1-1111111111-1111-1-1111-1-1111-1-11-1-1-111-1-111-1-1-1-1111-1-1-111-1-1-1-11111111-111-1-1-1-1-1-1-11-1-11-1-1-111-1-11111-11
χ11111111-1-1111111111-1111-1-1111-1-1111-1-1-11-1-1-1-11111-1-1-1-1-1-11-11111-1-1-1-111-1-1-1-1-11-1-111-1-1-1-11-1111-111-1-1-1-111111-1
χ12111111-1-1111111111-1111-1-1111-1-1111-1-1-11-1-1-1-11111-1-1-1-1-1-11-1-1-111-1-111-1-1-1-1-1-1-11-1-111111111111-1-1-11111-1-1-1-1-11
χ13111111-1-1111111111-1111-1-1111-1-11-1-1111-1-1-111-1-111-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1-11-111-1-1-1-1-1-11-111-1111-1-111-1-111-11
χ14111111-1-1111111111-1111-1-1111-1-11-1-1111-1-1-111-1-111-1-1-1-1-1-1-11-1-1-1-111-1-111-1-1-1-11-111-1-111111111-11-1-111-1-111-1-11-1
χ15111111-1-1111111111-1111-1-1111-1-11-1-111-11-1-1-1-11111-1-1-1-111-1111-1-111-1-1111111-11-1-1111111-1-1-1-1-1111-1-1-1-111-1-1-11
χ16111111-1-1111111111-1111-1-1111-1-11-1-111-11-1-1-1-11111-1-1-1-111-11-1-1-1-11111-1-11111-11-1-111-1-1-1-1-11-1-1-11-1-11111-1-1111-1
χ1722222222-2-22222222-222222-2-2-222-2222200-2-20000-2-2-2-22200-2-20022220000000000000000000000-2-2000000000000
χ1822222222-2-22222222-222222-2-2-222-2-2-2-2-200-2-20000-2-2-2-222002200-2-2-2-2000000000000000000000022000000000000
χ19222222-2-2-2-222222222222-2-2-2-2-2-2-2-222-2-200220000-2-222-2-200-220022-2-20000000000000000000000-22000000000000
χ20222222-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-22200220000-2-222-2-2002-200-2-22200000000000000000000002-2000000000000
χ2122222-12222-1222-1-1-12-1-1-1222-1-1-1-12222222-12-1-1-1-1-1-1-1-1-1-1222200-1-1-1-10000-1-1-1-122-1-1-1-1000020-1-1-1-1000000000000
χ2222222-12222-1222-1-1-12-1-1-1222-1-1-1-122222-2-2-121111-1-1-1-1-1-1-2-22200-1-1-1-100001111-2-211110000-2011-1-1000000000000
χ2322222-12222-1222-1-1-12-1-1-1222-1-1-1-12-2-2-2-222-12-1-1-1-1-1-1-1-1-1-1-2-2-2-20011110000111122-1-1-1-10000-201111000000000000
χ2422222-12222-1222-1-1-12-1-1-1222-1-1-1-12-2-2-2-2-2-2-121111-1-1-1-1-1-122-2-20011110000-1-1-1-1-2-21111000020-1-111000000000000
χ2522222-122-2-2-1222-1-1-1-2-1-1-122-211-1-1-22222001-2−i3i3−i3i31111-1-100-2-200-1-1-1-10000−i3−i3i3i300−i3i3−i3i3000000−i3i311000000000000
χ2622222-122-2-2-1222-1-1-1-2-1-1-122-211-1-1-22222001-2i3−i3i3−i31111-1-100-2-200-1-1-1-10000i3i3−i3−i300i3−i3i3−i3000000i3−i311000000000000
χ2722222-122-2-2-1222-1-1-1-2-1-1-122-211-1-1-2-2-2-2-2001-2−i3i3−i3i31111-1-100220011110000i3i3−i3−i300−i3i3−i3i3000000i3−i3-1-1000000000000
χ2822222-122-2-2-1222-1-1-1-2-1-1-122-211-1-1-2-2-2-2-2001-2i3−i3i3−i31111-1-100220011110000−i3−i3i3i300i3−i3i3−i3000000−i3i3-1-1000000000000
χ2922222-1-2-222-1222-1-1-1-2-1-1-1-2-22-1-111222-2-22-21-2-1-111-1-11111222-200-1-1110000-1-1-1-12-2-1-1110000-2011-11000000000000
χ3022222-1-2-222-1222-1-1-1-2-1-1-1-2-22-1-111222-2-2-221-211-1-1-1-11111-2-22-200-1-11100001111-2211-1-1000020-1-1-11000000000000
χ3122222-1-2-222-1222-1-1-1-2-1-1-1-2-22-1-1112-2-2222-21-2-1-111-1-11111-2-2-220011-1-1000011112-2-1-111000020-1-11-1000000000000
χ3222222-1-2-222-1222-1-1-1-2-1-1-1-2-22-1-1112-2-222-221-211-1-1-1-1111122-220011-1-10000-1-1-1-1-2211-1-10000-20111-1000000000000
χ3322222-1-2-2-2-2-1222-1-1-12-1-1-1-2-2-21111-222-2-200-12−i3i3i3−i311-1-11100-2200-1-1110000−i3−i3i3i300−i3i3i3−i3000000i3−i31-1000000000000
χ3422222-1-2-2-2-2-1222-1-1-12-1-1-1-2-2-21111-222-2-200-12i3−i3−i3i311-1-11100-2200-1-1110000i3i3−i3−i300i3−i3−i3i3000000−i3i31-1000000000000
χ3522222-1-2-2-2-2-1222-1-1-12-1-1-1-2-2-21111-2-2-22200-12−i3i3i3−i311-1-111002-20011-1-10000i3i3−i3−i300−i3i3i3−i3000000−i3i3-11000000000000
χ3622222-1-2-2-2-2-1222-1-1-12-1-1-1-2-2-21111-2-2-22200-12i3−i3−i3i311-1-111002-20011-1-10000−i3−i3i3i300i3−i3−i3i3000000i3−i3-11000000000000
χ372222-1222222-1-1-122-12-1-1-1-1-1-12222-10000222-12222-1-1-1-1-1-1000022000022220000-1-1-1-1-1-10000020000-1-1-1-1-1-1-1-10000
χ382222-1222222-1-1-122-12-1-1-1-1-1-12222-10000222-12222-1-1-1-1-1-10000-2-20000-2-2-2-20000-1-1-1-1-1-100000-20000111111110000
χ392222-1222222-1-1-122-12-1-1-1-1-1-12222-10000-2-22-1-2-2-2-2-1-1-1-1-1-10000220000-2-2-2-200001111110000020000-1-1-1-111110000
χ402222-1222222-1-1-122-12-1-1-1-1-1-12222-10000-2-22-1-2-2-2-2-1-1-1-1-1-10000-2-200002222000011111100000-200001111-1-1-1-10000
χ412222-12-2-2222-1-1-122-1-2-1-1-111-122-2-2-100002-2-2122-2-2-1-11111000022000022-2-20000-11-1-11100000-20000-1-111-1-1110000
χ422222-12-2-2222-1-1-122-1-2-1-1-111-122-2-2-100002-2-2122-2-2-1-111110000-2-20000-2-2220000-11-1-111000002000011-1-111-1-10000
χ432222-12-2-2222-1-1-122-1-2-1-1-111-122-2-2-10000-22-21-2-222-1-111110000220000-2-22200001-111-1-100000-20000-1-11111-1-10000
χ442222-12-2-2222-1-1-122-1-2-1-1-111-122-2-2-10000-22-21-2-222-1-111110000-2-2000022-2-200001-111-1-1000002000011-1-1-1-1110000
χ452-22-2222-200-22-2-2-2220-2-222-20002-202-22-20000000000002-20000002-22-2−i2i2−i2i20000000000−i2−i2i2i20000000000−i2i2−i2i2−i2i200
χ462-22-2222-200-22-2-2-2220-2-222-20002-202-22-20000000000002-20000002-22-2i2−i2i2−i20000000000i2i2−i2−i20000000000i2−i2i2−i2i2−i200
χ472-22-2222-200-22-2-2-2220-2-222-20002-20-22-220000000000002-2000000-22-22−i2i2−i2i20000000000i2i2−i2−i20000000000−i2i2−i2i2i2−i200
χ482-22-2222-200-22-2-2-2220-2-222-20002-20-22-220000000000002-2000000-22-22i2−i2i2−i20000000000−i2−i2i2i20000000000i2−i2i2−i2−i2i200
χ492-22-222-2200-22-2-2-2220-2-22-22000-2202-2-22000000000000-220000002-2-22−i2i2i2−i20000000000−i2−i2i2i20000000000−i2i2i2−i2i2−i200
χ502-22-222-2200-22-2-2-2220-2-22-22000-2202-2-22000000000000-220000002-2-22i2−i2−i2i20000000000i2i2−i2−i20000000000i2−i2−i2i2−i2i200
χ512-22-222-2200-22-2-2-2220-2-22-22000-220-222-2000000000000-22000000-222-2−i2i2i2−i20000000000i2i2−i2−i20000000000−i2i2i2−i2−i2i200
χ522-22-222-2200-22-2-2-2220-2-22-22000-220-222-2000000000000-22000000-222-2i2−i2−i2i20000000000−i2−i2i2i20000000000i2−i2−i2i2i2−i200
χ532-2-2222002-2-2-22-22-2202-2-20022-200-20000000000002-200002i−2i002-2000000002i−2i2i−2i0000002i−2i2i−2i0000002-20000000000
χ542-2-2222002-2-2-22-22-2202-2-20022-200-20000000000002-200002i−2i00-22000000002i−2i2i−2i000000−2i2i−2i2i000000-220000000000
χ552-2-2222002-2-2-22-22-2202-2-20022-200-20000000000002-20000−2i2i002-200000000−2i2i−2i2i000000−2i2i−2i2i0000002-20000000000
χ562-2-2222002-2-2-22-22-2202-2-20022-200-20000000000002-20000−2i2i00-2200000000−2i2i−2i2i0000002i−2i2i−2i000000-220000000000
χ574444-2444-4-44-2-2-244-2-4-2-2-2-2-22-4-4442000000-4200002222-2-20000000000000000000000000000000000000000000000
χ584444-24-4-4-4-44-2-2-244-24-2-2-2222-4-4-4-420000004-2000022-2-2220000000000000000000000000000000000000000000000
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
χ604444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-20000-4-4-2-2222211111100000000000000000022-1-1-1-10000000000000000000000
χ614444-2-244-4-4-2-2-2-2-2-21-4111-2-2222-2-2200000022−2i32i3−2i32i3-1-1-1-11100000000000000000000i3−i3i3−i30000000000000000000000
χ624444-2-244-4-4-2-2-2-2-2-21-4111-2-2222-2-22000000222i3−2i32i3−2i3-1-1-1-11100000000000000000000−i3i3−i3i30000000000000000000000
χ634444-2-2-4-444-2-2-2-2-2-21-411122-2-2-222-200004-422-2-22211-1-1-1-1000000000000000000-2211-1-10000000000000000000000
χ644444-2-2-4-444-2-2-2-2-2-21-411122-2-2-222-20000-442222-2-211-1-1-1-10000000000000000002-2-1-1110000000000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-21411122222222000000-2-2−2i32i32i3−2i3-1-111-1-100000000000000000000i3−i3−i3i30000000000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-21411122222222000000-2-22i3−2i3−2i32i3-1-111-1-100000000000000000000−i3i3i3−i30000000000000000000000
χ6744-4-44400004-4-44-4-440-44-40000000000000000000000000000000000000000000000000022−22−2222000000000000000000
χ6844-4-44400004-4-44-4-440-44-400000000000000000000000000000000000000000000000000−222222−22000000000000000000
χ694-44-44-24-40024-4-42-2-2022-24-4000-2204-44-4000000000000-22000000-22-22000000000000000000000000000000000000
χ704-44-44-24-40024-4-42-2-2022-24-4000-220-44-44000000000000-220000002-22-2000000000000000000000000000000000000
χ714-44-44-2-440024-4-42-2-2022-2-440002-204-4-440000000000002-2000000-222-2000000000000000000000000000000000000
χ724-44-44-2-440024-4-42-2-2022-2-440002-20-444-40000000000002-20000002-2-22000000000000000000000000000000000000
χ734-44-4-244-400-4-222-44-2022-2-220004-400000000000000000-220000000000−2i22i2−2i22i2000000000000000000000000i2−i2i2−i20000
χ744-44-4-244-400-4-222-44-2022-2-220004-400000000000000000-2200000000002i2−2i22i2−2i2000000000000000000000000−i2i2−i2i20000
χ754-44-4-24-4400-4-222-44-2022-22-2000-44000000000000000002-20000000000−2i22i22i2−2i2000000000000000000000000i2−i2−i2i20000
χ764-44-4-24-4400-4-222-44-2022-22-2000-44000000000000000002-200000000002i2−2i2−2i22i2000000000000000000000000−i2i2i2−i20000
χ774-4-444400-44-4-44-44-4404-4-400-4-44004000000000000-4400000000000000000000000000000000000000000000000000
χ784-4-444-2004-42-44-4-22-20-222004-2200-4000000000000-2200004i−4i000000000000−2i2i−2i2i0000000000000000000000000000
χ794-4-444-2004-42-44-4-22-20-222004-2200-4000000000000-220000−4i4i0000000000002i−2i2i−2i0000000000000000000000000000
χ804-4-444-200-442-44-4-22-20-22200-42-20040000000000002-200000000000000000023−23−23230000000000000000000000000000
χ814-4-444-200-442-44-4-22-20-22200-42-20040000000000002-2000000000000000000−232323−230000000000000000000000000000
χ824-4-44-24004-4-42-224-4-20-22200-24-4002000000000000-22000000004-40000000000000000000000000000-220000000000
χ834-4-44-24004-4-42-224-4-20-22200-24-4002000000000000-2200000000-4400000000000000000000000000002-20000000000
χ844-4-44-2400-44-42-224-4-20-222002-4400-20000000000002-2000000000000000000000000000000000000000023−2300000000
χ854-4-44-2400-44-42-224-4-20-222002-4400-20000000000002-20000000000000000000000000000000000000000−232300000000
χ8688-8-88-40000-4-8-8844-404-44000000000000000000000000000000000000000000000000000000000000000000000000
χ8788-8-8-480000844-4-8-8-404-44000000000000000000000000000000000000000000000000000000000000000000000000
χ8888-8-8-4-40000-444-44420-22-200000000000000000000006-6000000000000000000000000000000000000000000000000
χ8988-8-8-4-40000-444-44420-22-20000000000000000000000-66000000000000000000000000000000000000000000000000
χ908-88-8-4-48-8004-4444-420-2-22-44000-44000000000000000002-20000000000000000000000000000000000000000000000
χ918-88-8-4-4-88004-4444-420-2-224-40004-400000000000000000-220000000000000000000000000000000000000000000000
χ928-8-88-4-4008-844-44-44202-2-200-4-440040000000000002-200000000000000000000000000000000000000000000000000
χ938-8-88-4-400-8844-44-44202-2-20044-400-4000000000000-2200000000000000000000000000000000000000000000000000

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