Finite Group Databasebeta

← Group #11878649

Character table — Group #11878649

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444466666666888888888888121212121212121212121212121212121212121216161616161624242424242424243636363648487272
order12223344444466666636661212121212121212121212122244121212122266661212121212124466888812121212242424242424242466666622441212121288886622
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ9111111-1-1-1-1111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11-111-1-111-1-1-1-11-11111-1-111-1-11111-1-1-1-11-111-1-11-11-111-1-111-1-11-11-1
χ10111111-1-1-1-1111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11-111-1-111-1-1-1-11-111-1-11111-1-1-1-1-1-111111-111-1-1-111-111-1-1-1-111-11-11
χ11111111-1-1-1-1111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-11-1-11111-1-1-1-11-11111-1-111-1-11111-1-1-1-1-11-1-111-11-11-1-11111-1-1-11-11
χ12111111-1-1-1-1111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-11-1-11111-1-1-1-11-111-1-11111-1-1-1-1-1-11111-11-1-1111-1-11-1-111-1-1111-11-1
χ13111111-1-1-1-1111111111111-1-1-1-111-1-1-1-111-1-11111111-111-1-111-1-1-1-1-11-1-111-1-1-1-1111111-1-1-1-11-111-1-11-1-11-1-111-1-1111-1-11
χ14111111-1-1-1-1111111111111-1-1-1-111-1-1-1-111-1-11111111-111-1-111-1-1-1-1-11-1-1-1-111-1-111-1-1-1-111111-111-1-1-11-11-1-11111-1-1-111-1
χ15111111-1-1-1-1111111111111-1-1-1-111-1-1-1-111-1-1111111-11-1-11111-1-1-1-1-11-1-111-1-1-1-1111111-1-1-1-1-11-1-111-111-111-1-1-1-111-111-1
χ16111111-1-1-1-1111111111111-1-1-1-111-1-1-1-111-1-1111111-11-1-11111-1-1-1-1-11-1-1-1-111-1-111-1-1-1-11111-11-1-1111-11-111-1-111-1-11-1-11
χ1722222222-2-2-2-2222222222222-2-2-2-222-2-2-2-222-2-2-2-2-2-2000000-2-222-2-2-22220000-2-222000000000000000000000000000000
χ1822222222-2-2-2-2222222222222-2-2-2-222-2-2-2-2-2-2222222000000-2-222-2-22-2-2-2000022-2-2000000000000000000000000000000
χ19222222-2-222-2-22222222222-2-222-2-2-2-222-2-222222222000000-2-2-2-222-2-2220000-2-2-2-2000000000000000000000000000000
χ20222222-2-222-2-22222222222-2-222-2-2-2-222-2-2-2-2-2-2-2-2-2-2000000-2-2-2-22222-2-200002222000000000000000000000000000000
χ2122222-1222222-1-1-1222-1-1-1-1-1-1-1-1222222-1-100000000222222-1-1-1-1-1-1000022220000-1-1-1-1-1-1-1-1-1-1-1-1-1-1220000000000-1-100
χ2222222-1222222-1-1-1222-1-1-1-1-1-1-1-1222222-1-100000000222222-1-1-1-1-1-10000-2-2-2-2000011111111-1-1-1-1-1-1-2-200000000001100
χ2322222-1222222-1-1-1222-1-1-1-1-1-1-1-1222222-1-100000000-2-2-2-2-2-2-1-1-1-1-1-1000022220000-1-1-1-1-1-1-1-1111111-2-200000000001100
χ2422222-1222222-1-1-1222-1-1-1-1-1-1-1-1222222-1-100000000-2-2-2-2-2-2-1-1-1-1-1-10000-2-2-2-2000011111111111111220000000000-1-100
χ2522222-1-2-2-2-222-1-1-1222-1-1-1-1111122-2-2-2-2-1-1000000002-222-2-2-1-11111000022-2-20000-1-1-1-11111-11-1-1112-20000000000-1100
χ2622222-1-2-2-2-222-1-1-1222-1-1-1-1111122-2-2-2-2-1-1000000002-222-2-2-1-111110000-2-22200001111-1-1-1-1-11-1-111-2200000000001-100
χ2722222-1-2-2-2-222-1-1-1222-1-1-1-1111122-2-2-2-2-1-100000000-22-2-222-1-11111000022-2-20000-1-1-1-111111-111-1-1-2200000000001-100
χ2822222-1-2-2-2-222-1-1-1222-1-1-1-1111122-2-2-2-2-1-100000000-22-2-222-1-111110000-2-22200001111-1-1-1-11-111-1-12-20000000000-1100
χ292222-12222222222-1-1-1-1-1-1-12222-1-1-1-1-1-1222222-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-10000-1-1-1-10000000022-1-1-1-10022-1-1-1-100000000
χ302222-12222222222-1-1-1-1-1-1-12222-1-1-1-1-1-1222222-1-1-1-1-2-21111-1-1-1-1-1-122-1-10000-1-1-1-100000000-2-2111100-2-2111100000000
χ312222-12222222222-1-1-1-1-1-1-12222-1-1-1-1-1-122-2-2-2-2111122-1-1-1-1-1-1-1-1-1-1-2-211000011110000000022-1-1-1-100-2-2111100000000
χ322222-12222222222-1-1-1-1-1-1-12222-1-1-1-1-1-122-2-2-2-21111-2-21111-1-1-1-1-1-1-2-2110000111100000000-2-211110022-1-1-1-100000000
χ332222-1222-2-2-2-2222-1-1-1-1-1-1-122-2-211-1-111-2-222-2-2111100−i3i3−i3i311-1-111-22-1-1000011-1-10000000000−i3i3−i3i30000−i3i3−i3i300000000
χ342222-1222-2-2-2-2222-1-1-1-1-1-1-122-2-211-1-111-2-222-2-2111100i3−i3i3−i311-1-111-22-1-1000011-1-10000000000i3−i3i3−i30000i3−i3i3−i300000000
χ352222-1222-2-2-2-2222-1-1-1-1-1-1-122-2-211-1-111-2-2-2-222-1-1-1-100−i3i3−i3i311-1-1112-2110000-1-1110000000000−i3i3−i3i30000i3−i3i3−i300000000
χ362222-1222-2-2-2-2222-1-1-1-1-1-1-122-2-211-1-111-2-2-2-222-1-1-1-100i3−i3i3−i311-1-1112-2110000-1-1110000000000i3−i3i3−i30000−i3i3−i3i300000000
χ372222-12-2-222-2-2222-1-1-1-1-1-1-1-2-2221111-1-1-2-22222-1-1-1-100−i3i3i3−i31111-1-1-2-2-1-1000011110000000000−i3i3i3−i30000−i3i3i3−i300000000
χ382222-12-2-222-2-2222-1-1-1-1-1-1-1-2-2221111-1-1-2-22222-1-1-1-100i3−i3−i3i31111-1-1-2-2-1-1000011110000000000i3−i3−i3i30000i3−i3−i3i300000000
χ392222-12-2-222-2-2222-1-1-1-1-1-1-1-2-2221111-1-1-2-2-2-2-2-2111100−i3i3i3−i31111-1-122110000-1-1-1-10000000000−i3i3i3−i30000i3−i3−i3i300000000
χ402222-12-2-222-2-2222-1-1-1-1-1-1-1-2-2221111-1-1-2-2-2-2-2-2111100i3−i3−i3i31111-1-122110000-1-1-1-10000000000i3−i3−i3i30000−i3i3i3−i300000000
χ412222-12-2-2-2-222222-1-1-1-1-1-1-1-2-2-2-2-1-111112222-2-211112-2-1-111-1-111112-2-1-10000-1-111000000002-2-1-111002-2-1-11100000000
χ422222-12-2-2-2-222222-1-1-1-1-1-1-1-2-2-2-2-1-111112222-2-21111-2211-1-1-1-111112-2-1-10000-1-11100000000-2211-1-100-2211-1-100000000
χ432222-12-2-2-2-222222-1-1-1-1-1-1-1-2-2-2-2-1-1111122-2-222-1-1-1-12-2-1-111-1-11111-2211000011-1-1000000002-2-1-11100-2211-1-100000000
χ442222-12-2-2-2-222222-1-1-1-1-1-1-1-2-2-2-2-1-1111122-2-222-1-1-1-1-2211-1-1-1-11111-2211000011-1-100000000-2211-1-1002-2-1-11100000000
χ452-2-2222002-2002-2-2-2-2222-2-2002-200002-2002-22-222-2-200000000002-2002-22−22−2000022−2−222−2−2000000000000002−22−20000
χ462-2-2222002-2002-2-2-2-2222-2-2002-200002-2002-22-222-2-200000000002-2002-2−22−220000−2−222−2−22200000000000000−22−220000
χ472-2-2222002-2002-2-2-2-2222-2-2002-200002-200-22-22-2-22200000000002-200-222−22−2000022−2−222−2−200000000000000−22−220000
χ482-2-2222002-2002-2-2-2-2222-2-2002-200002-200-22-22-2-22200000000002-200-22−22−220000−2−222−2−222000000000000002−22−20000
χ492-2-222200-22002-2-2-2-2222-2-200-220000-22002-2-22-2-2220000000000-22002-22−2−22000022−2−2−2−222000000000000002−2−220000
χ502-2-222200-22002-2-2-2-2222-2-200-220000-22002-2-22-2-2220000000000-22002-2−222−20000−2−22222−2−200000000000000−222−20000
χ512-2-222200-22002-2-2-2-2222-2-200-220000-2200-222-222-2-20000000000-2200-222−2−22000022−2−2−2−22200000000000000−222−20000
χ522-2-222200-22002-2-2-2-2222-2-200-220000-2200-222-222-2-20000000000-2200-22−222−20000−2−22222−2−2000000000000002−2−220000
χ5344444-244-4-4-4-4-2-2-2444-2-2-2-2-2-222-4-444-4-4220000000000000022-2-222000000000000000000000000000000000000000000
χ5444444-2-4-444-4-4-2-2-2444-2-2-2-222-2-2-4-4-4-44422000000000000002222-2-2000000000000000000000000000000000000000000
χ554444-2-2444444-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2-2-20000000044-2-2-2-211111100000000000000000000-2-211110000000000000000
χ564444-2-2444444-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2-2-200000000-4-422221111110000000000000000000022-1-1-1-10000000000000000
χ574444-2-244-4-4-4-4-2-2-2-2-2-21111-2-22222-2-222220000000000−2i32i3−2i32i3-1-111-1-10000000000000000000000i3−i3i3−i30000000000000000
χ584444-2-244-4-4-4-4-2-2-2-2-2-21111-2-22222-2-2222200000000002i3−2i32i3−2i3-1-111-1-10000000000000000000000−i3i3−i3i30000000000000000
χ594444-2-2-4-444-4-4-2-2-2-2-2-2111122-2-22222-2-2220000000000−2i32i32i3−2i3-1-1-1-1110000000000000000000000i3−i3−i3i30000000000000000
χ604444-2-2-4-444-4-4-2-2-2-2-2-2111122-2-22222-2-22200000000002i3−2i3−2i32i3-1-1-1-1110000000000000000000000−i3i3i3−i30000000000000000
χ614444-2-2-4-4-4-444-2-2-2-2-2-211112222-2-22222-2-2000000004-4-2-22211-1-1-1-100000000000000000000-2211-1-10000000000000000
χ624444-2-2-4-4-4-444-2-2-2-2-2-211112222-2-22222-2-200000000-4422-2-211-1-1-1-1000000000000000000002-2-1-1110000000000000000
χ6344-4-44400004-4-44-44-4-44-44-400004-400004-4000000000000004-40000000000000000000000000000000000000000000000
χ6444-4-4440000-44-44-44-4-44-44-40000-440000-4400000000000000-440000000000000000000000000000000000000000000000
χ6544-4-44-200004-42-224-4-4-22-2200004-40000-2200000000000000-220000000000000000−2i32i3−2i32i300000000000000000000000000
χ6644-4-44-200004-42-224-4-4-22-2200004-40000-2200000000000000-2200000000000000002i3−2i32i3−2i300000000000000000000000000
χ6744-4-44-20000-442-224-4-4-22-220000-4400002-2000000000000002-200000000000000000000−2i32i3−2i32i30000000000000000000000
χ6844-4-44-20000-442-224-4-4-22-220000-4400002-2000000000000002-2000000000000000000002i3−2i32i3−2i30000000000000000000000
χ6944-4-4-2400004-4-44-4-222-22-220000-2200004-4000023−2323−23000000-220000000000000023−23000000000000000000000000000000
χ7044-4-4-2400004-4-44-4-222-22-220000-2200004-40000−2323−2323000000-2200000000000000−2323000000000000000000000000000000
χ7144-4-4-240000-44-44-4-222-22-2200002-20000-44000023−2323−230000002-200000000000000−2323000000000000000000000000000000
χ7244-4-4-240000-44-44-4-222-22-2200002-20000-440000−2323−23230000002-20000000000000023−23000000000000000000000000000000
χ734-44-4444-40000-4-44-44-44-4-444-400004-4000000000000000000004-400000000000000000000000000000000000000000000
χ744-44-444-440000-4-44-44-44-4-44-440000-4400000000000000000000-4400000000000000000000000000000000000000000000
χ754-44-44-24-4000022-2-44-4-222-2-2200004-400000000000000000000-2200000000000000i6−i6−i6i6i6−i6−i6i60000000000000000000000
χ764-44-44-24-4000022-2-44-4-222-2-2200004-400000000000000000000-2200000000000000−i6i6i6−i6−i6i6i6−i60000000000000000000000
χ774-44-44-2-44000022-2-44-4-222-22-20000-44000000000000000000002-200000000000000i6−i6−i6i6−i6i6i6−i60000000000000000000000
χ784-44-44-2-44000022-2-44-4-222-22-20000-44000000000000000000002-200000000000000−i6i6i6−i6i6−i6−i6i60000000000000000000000
χ794-44-4-244-40000-4-442-22-222-24-40000-220000000023−23−232300000000-22000000000023−2300000000000000000000000000000000
χ804-44-4-244-40000-4-442-22-222-24-40000-2200000000−232323−2300000000-220000000000−232300000000000000000000000000000000
χ814-44-4-24-440000-4-442-22-222-2-4400002-20000000023−23−2323000000002-20000000000−232300000000000000000000000000000000
χ824-44-4-24-440000-4-442-22-222-2-4400002-200000000−232323−23000000002-2000000000023−2300000000000000000000000000000000
χ834-4-444-2004-400-222-4-44-2-22200-2200004-400000000000000000000-22000022−2222−220000−2−222−2−2220000000000000000000000
χ844-4-444-2004-400-222-4-44-2-22200-2200004-400000000000000000000-220000−2222−2222000022−2−222−2−20000000000000000000000
χ854-4-444-200-4400-222-4-44-2-222002-20000-44000000000000000000002-2000022−22−22220000−2−22222−2−20000000000000000000000
χ864-4-444-200-4400-222-4-44-2-222002-20000-44000000000000000000002-20000−222222−22000022−2−2−2−2220000000000000000000000
χ874-4-44-24004-4004-4-422-2-2-222004-40000-22004-44-4-2-2220000000000-2200-2200000000000000000000000000000000000000
χ884-4-44-24004-4004-4-422-2-2-222004-40000-2200-44-4422-2-20000000000-22002-200000000000000000000000000000000000000
χ894-4-44-2400-44004-4-422-2-2-22200-4400002-2004-4-4422-2-200000000002-200-2200000000000000000000000000000000000000
χ904-4-44-2400-44004-4-422-2-2-22200-4400002-200-444-4-2-22200000000002-2002-200000000000000000000000000000000000000
χ9188-8-8-4-400008-84-44-4442-22-20000-440000-44000000000000002-20000000000000000000000000000000000000000000000
χ9288-8-8-4-40000-884-44-4442-22-200004-400004-400000000000000-220000000000000000000000000000000000000000000000
χ938-88-8-4-48-8000044-44-442-2-22-440000-44000000000000000000002-200000000000000000000000000000000000000000000
χ948-88-8-4-4-88000044-44-442-2-224-400004-400000000000000000000-2200000000000000000000000000000000000000000000
χ958-8-88-4-4008-800-44444-422-2-200-440000-44000000000000000000002-2000000000000000000000000000000000000000000
χ968-8-88-4-400-8800-44444-422-2-2004-400004-400000000000000000000-22000000000000000000000000000000000000000000

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