Finite Group Databasebeta

← Group #11898357

Character table — Group #11898357

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222224444444444444446666666688888888888881212121212121212121212121212121212121212121216161616161624242424242424363636363636484872
order1222334444666666346661212121212121212121244448888246612121212121212121244448812121212121212122424242424242424666121212244121212124488886124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1111111111-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1
χ311111111111111111111111111111111111-1-1-1-111111111111111111-1-111111111-1-1-1-1-1-1-1-1111111-11-11111-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1111-1-1-1-1111
χ51111111111111111111111111111111-1-1-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111-11-1-1-1-1-1-1-1-1-1-111-1
χ61111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-11111111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-11-1-111-111-1-1-1-1-1-11
χ71111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1111111-1-11
χ81111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111-1-1-1111111-1
χ9111111-1-1111111111-1111-1-1-1-1-1-1111111-1-111111-111-1-1-1-1-1-1-111-11-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111-1-1-111-1-1111-1-111-1-11-11
χ10111111-1-1111111111-1111-1-1-1-1-1-1111111-1-11111-11-1-111-1-1-1-1-111-1111-1-111-1-111111111-1-1-1-1-1-1-1111-1-11-1-1-111111-1-1-11-1
χ11111111-1-1111111111-1111-1-1-1-1-1-1111111-1-1-1-1-1-11-111-1-1-1-1-1-1-111-11-1-11111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111-111111-1-111-11-1
χ12111111-1-1111111111-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-11-1-111-1-1-1-1-111-11111111-1-11111-1-1-1-11111-1-1-11111-1-1-1-1-11-1-1-1-1111-11
χ13111111-1-1111111111-1111-1-1-1-1-1-11111-1-11111111-111-1-1-1-1-1-1-1111-111-1-1-1-11111111111-1-1-1-1111-1-1-11-1-11-1-1-111-1-1111-1-1
χ14111111-1-1111111111-1111-1-1-1-1-1-11111-1-1111111-11-1-111-1-1-1-1-1111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1111-111111-1-1-1-1-111-111
χ15111111-1-1111111111-1111-1-1-1-1-1-11111-1-111-1-1-1-11-111-1-1-1-1-1-1-1111-11111-1-1111111-1-1-1-11111111-1-1-1-1-111-1-1-1-1-111-1-1-111
χ16111111-1-1111111111-1111-1-1-1-1-1-11111-1-111-1-1-1-1-11-1-111-1-1-1-1-1111-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-111111-1111-11111-1-11-1-1
χ1722222222-2-22222222-222222-2-222-2-2-2-222220000000000-222-2-2-2-2-2-200002222000000000000000000000-200-2000000000
χ1822222222-2-22222222-222222-2-222-2-2-2-2-2-2-2-20000000000-222-2-2-2-2220000-2-2-2-20000000000000000000002002000000000
χ19222222-2-2-2-222222222222-2-222-2-2-2-2-2-222-2-200000000002-2-222-2-22-2000022-2-2000000000000000000000200-2000000000
χ20222222-2-2-2-222222222222-2-222-2-2-2-2-2-2-2-22200000000002-2-222-2-2-220000-2-222000000000000000000000-2002000000000
χ2122222-12222-1-122-12-12-1-1-1-1-1-1-12222-1-1000022222222222-1-1-1-1-1-100002200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-12020000000000-1-10
χ2222222-12222-1-122-12-12-1-1-1-1-1-1-12222-1-100002222-2-2-2-2-2-22-1-1-1-1-1-100002200000000-1-1-1-1-1-1-1-1111111-20-20000000000110
χ2322222-12222-1-122-12-12-1-1-1-1-1-1-12222-1-10000-2-2-2-22222222-1-1-1-1-1-10000-2-20000000011111111-1-1-1-1-1-1-20-20000000000110
χ2422222-12222-1-122-12-12-1-1-1-1-1-1-12222-1-10000-2-2-2-2-2-2-2-2-2-22-1-1-1-1-1-10000-2-200000000111111111111112020000000000-1-10
χ2522222-1-2-222-1-122-12-1-2-1-1-11111-2-222-1-1000022222-222-2-2-21111-1-10000-2-200000000-1-1-1-11111-1-1-111120-20000000000-110
χ2622222-1-2-222-1-122-12-1-2-1-1-11111-2-222-1-100002222-22-2-222-21111-1-10000-2-200000000-1-1-1-11111111-1-1-1-20200000000001-10
χ2722222-1-2-222-1-122-12-1-2-1-1-11111-2-222-1-10000-2-2-2-22-222-2-2-21111-1-1000022000000001111-1-1-1-1-1-1-1111-20200000000001-10
χ2822222-1-2-222-1-122-12-1-2-1-1-11111-2-222-1-10000-2-2-2-2-22-2-222-21111-1-1000022000000001111-1-1-1-1111-1-1-120-20000000000-110
χ292222-12222222-1-12-1-12-1-1-12222-1-1-1-1222222000022-1-1-1-1-1-1-1-1-1-1-1222200-1-1-1-1-1-1-1-1000000002-1-12-1-1020-1-1-1-1000000000
χ302222-12222222-1-12-1-12-1-1-12222-1-1-1-12222220000-2-21111-1-1-1-1-1-1-122-2-200-1-1-1-1111100000000-211-2110-20-111-1000000000
χ312222-12222222-1-12-1-12-1-1-12222-1-1-1-122-2-2-2-2000022-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20011111111000000002-1-12-1-10-201111000000000
χ322222-12222222-1-12-1-12-1-1-12222-1-1-1-122-2-2-2-20000-2-21111-1-1-1-1-1-1-1-2-222001111-1-1-1-100000000-211-2110201-1-11000000000
χ332222-1222-2-222-1-12-1-1-2-1-1-122-2-2-1-111-2-22222000000−i3i3−i3i31-1-11111-2-20000-1-1-1-1−i3−i3i3i3000000000−i3i30−i3i30001−i3i31000000000
χ342222-1222-2-222-1-12-1-1-2-1-1-122-2-2-1-111-2-22222000000i3−i3i3−i31-1-11111-2-20000-1-1-1-1i3i3−i3−i3000000000i3−i30i3−i30001i3−i31000000000
χ352222-1222-2-222-1-12-1-1-2-1-1-122-2-2-1-111-2-2-2-2-2-2000000−i3i3−i3i31-1-111112200001111i3i3−i3−i3000000000−i3i30−i3i3000-1i3−i3-1000000000
χ362222-1222-2-222-1-12-1-1-2-1-1-122-2-2-1-111-2-2-2-2-2-2000000i3−i3i3−i31-1-111112200001111−i3−i3i3i3000000000i3−i30i3−i3000-1−i3i3-1000000000
χ372222-12-2-22222-1-12-1-1-2-1-1-1-2-2-2-211-1-12222-2-200002-2-1-11111111-1-1-22-2-200-1-1111111000000002-1-1-2110201-1-1-1000000000
χ382222-12-2-22222-1-12-1-1-2-1-1-1-2-2-2-211-1-12222-2-20000-2211-1-111111-1-1-222200-1-111-1-1-1-100000000-2112-1-10-20111-1000000000
χ392222-12-2-22222-1-12-1-1-2-1-1-1-2-2-2-211-1-122-2-22200002-2-1-11111111-1-12-2220011-1-1-1-1-1-1000000002-1-1-2110-20-1111000000000
χ402222-12-2-22222-1-12-1-1-2-1-1-1-2-2-2-211-1-122-2-2220000-2211-1-111111-1-12-2-2-20011-1-1111100000000-2112-1-1020-1-1-11000000000
χ412222-12-2-2-2-222-1-12-1-12-1-1-1-2-2221111-2-222-2-2000000−i3i3i3−i3-111-1-1112-20000-1-111i3i3−i3−i3000000000−i3i30i3−i3000-1−i3i31000000000
χ422222-12-2-2-2-222-1-12-1-12-1-1-1-2-2221111-2-222-2-2000000i3−i3−i3i3-111-1-1112-20000-1-111−i3−i3i3i3000000000i3−i30−i3i3000-1i3−i31000000000
χ432222-12-2-2-2-222-1-12-1-12-1-1-1-2-2221111-2-2-2-222000000−i3i3i3−i3-111-1-111-22000011-1-1−i3−i3i3i3000000000−i3i30i3−i30001i3−i3-1000000000
χ442222-12-2-2-2-222-1-12-1-12-1-1-1-2-2221111-2-2-2-222000000i3−i3−i3i3-111-1-111-22000011-1-1i3i3−i3−i3000000000i3−i30−i3i30001−i3i3-1000000000
χ452-22-2222i−2i002-2-2-2-22202-2-22i−2i002i−2i00002i−2i2-222−2−200000002i−2i00000000−i2i22i−2i2-2000022−2−2−i2−i2i2i2000000000000000−i2i22−2000
χ462-22-2222i−2i002-2-2-2-22202-2-22i−2i002i−2i00002i−2i2-2−2−22200000002i−2i00000000i2−i22i−2i2-20000−2−222i2i2−i2−i2000000000000000i2−i2−22000
χ472-22-2222i−2i002-2-2-2-22202-2-22i−2i002i−2i0000−2i2i-2222−2−200000002i−2i00000000−i2i2−2i2i-22000022−2−2−i2−i2i2i2000000000000000i2−i2−22000
χ482-22-2222i−2i002-2-2-2-22202-2-22i−2i002i−2i0000−2i2i-22−2−22200000002i−2i00000000i2−i2−2i2i-220000−2−222i2i2−i2−i2000000000000000−i2i22−2000
χ492-22-222−2i2i002-2-2-2-22202-2-2−2i2i00−2i2i00002i−2i-2222−2−20000000−2i2i00000000i2−i22i−2i-22000022−2−2i2i2−i2−i2000000000000000−i2i2−22000
χ502-22-222−2i2i002-2-2-2-22202-2-2−2i2i00−2i2i00002i−2i-22−2−2220000000−2i2i00000000−i2i22i−2i-220000−2−222−i2−i2i2i2000000000000000i2−i22−2000
χ512-22-222−2i2i002-2-2-2-22202-2-2−2i2i00−2i2i0000−2i2i2-222−2−20000000−2i2i00000000i2−i2−2i2i2-2000022−2−2i2i2−i2−i2000000000000000i2−i22−2000
χ522-22-222−2i2i002-2-2-2-22202-2-2−2i2i00−2i2i0000−2i2i2-2−2−2220000000−2i2i00000000−i2i2−2i2i2-20000−2−222−i2−i2i2i2000000000000000−i2i2−22000
χ532-2-2222002-2-2-2-222-220-2-220000002-22-200002-22-2000000000002-2002i−2i0000002i−2i2i−2i2-22-2000000000000000002i−2i0000000
χ542-2-2222002-2-2-2-222-220-2-220000002-22-200002-22-2000000000002-200−2i2i000000−2i2i−2i2i2-22-200000000000000000−2i2i0000000
χ552-2-2222002-2-2-2-222-220-2-220000002-22-20000-22-22000000000002-2002i−2i0000002i−2i2i−2i-22-2200000000000000000−2i2i0000000
χ562-2-2222002-2-2-2-222-220-2-220000002-22-20000-22-22000000000002-200−2i2i000000−2i2i−2i2i-22-22000000000000000002i−2i0000000
χ5744444-244-4-4-2-244-24-2-4-2-2-2-2-22244-4-42200000000000000-4-2-2222200000000000000000000000000000000000000000000
χ5844444-2-4-4-4-4-2-244-24-24-2-2-222-2-2-4-4-4-42200000000000000422-2-22200000000000000000000000000000000000000000000
χ594444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-20000000044-2-2-2-2-21111110000000000000000000000-211-2110000000000000000
χ604444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-200000000-4-42222-211111100000000000000000000002-1-12-1-10000000000000000
χ614444-2-244-4-4-2-2-2-2-2-21-4111-2-222-2-222220000000000−2i32i3−2i32i3211-1-1-1-100000000000000000000000i3−i30i3−i30000000000000000
χ624444-2-244-4-4-2-2-2-2-2-21-4111-2-222-2-2222200000000002i3−2i32i3−2i3211-1-1-1-100000000000000000000000−i3i30−i3i30000000000000000
χ634444-2-2-4-444-2-2-2-2-2-21-4111222222-2-2-2-2000000004-4-2-2222-1-1-1-1110000000000000000000000-2112-1-10000000000000000
χ644444-2-2-4-444-2-2-2-2-2-21-4111222222-2-2-2-200000000-4422-2-22-1-1-1-11100000000000000000000002-1-1-2110000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-21411122-2-22222220000000000−2i32i32i3−2i3-2-1-111-1-100000000000000000000000i3−i30−i3i30000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-21411122-2-222222200000000002i3−2i3−2i32i3-2-1-111-1-100000000000000000000000−i3i30i3−i30000000000000000
χ6744-4-4440000-444-4-4-440-44-40000000000000022−22−222200000000000000000000000000022−22−222200000000000000000000000000
χ6844-4-4440000-444-4-4-440-44-400000000000000−222222−22000000000000000000000000000−222222−2200000000000000000000000000
χ6944-4-44-200002-24-42-4-202-220023−23000000000022−22−222200000000023−230000000000000000−222−26−66−60000000000000000000000
χ7044-4-44-200002-24-42-4-202-220023−230000000000−222222−2200000000023−2300000000000000002−2−22−66−660000000000000000000000
χ7144-4-44-200002-24-42-4-202-2200−2323000000000022−22−2222000000000−23230000000000000000−222−2−66−660000000000000000000000
χ7244-4-44-200002-24-42-4-202-2200−23230000000000−222222−22000000000−232300000000000000002−2−226−66−60000000000000000000000
χ734-44-44-24i−4i00-22-4-424-20-222−2i2i004i−4i000000002222−22−220000000−2i2i00000000−2i22i200000000−2−222i2i2−i2−i20000000000000000000000
χ744-44-44-24i−4i00-22-4-424-20-222−2i2i004i−4i00000000−22−2222220000000−2i2i000000002i2−2i20000000022−2−2−i2−i2i2i20000000000000000000000
χ754-44-44-2−4i4i00-22-4-424-20-2222i−2i00−4i4i000000002222−22−2200000002i−2i000000002i2−2i200000000−2−222−i2−i2i2i20000000000000000000000
χ764-44-44-2−4i4i00-22-4-424-20-2222i−2i00−4i4i00000000−22−22222200000002i−2i00000000−2i22i20000000022−2−2i2i2−i2−i20000000000000000000000
χ774-44-4-244i−4i004-422-4-2-20-2224i−4i00−2i2i00004i−4i4-400000000000−2i2i0000000000−2i2i-220000000000000000000000000000000000
χ784-44-4-244i−4i004-422-4-2-20-2224i−4i00−2i2i0000−4i4i-4400000000000−2i2i00000000002i−2i2-20000000000000000000000000000000000
χ794-44-4-24−4i4i004-422-4-2-20-222−4i4i002i−2i00004i−4i-44000000000002i−2i0000000000−2i2i2-20000000000000000000000000000000000
χ804-44-4-24−4i4i004-422-4-2-20-222−4i4i002i−2i0000−4i4i4-4000000000002i−2i00000000002i−2i-220000000000000000000000000000000000
χ814-4-444400-44-4-4-444-440-4-44000000-44-440000000000000000000-4400000000000000000000000000000000000000000000
χ824-4-444-2004-422-44-2-4-2022-20000004-4-2200004-44-400000000000-2200000000000000-22-2200000000000000000000000000
χ834-4-444-2004-422-44-2-4-2022-20000004-4-220000-44-4400000000000-22000000000000002-22-200000000000000000000000000
χ844-4-444-200-4422-44-2-4-2022-2000000-442-200000000000000000002-2000000000000000000−2i32i32i3−2i30000000000000000000000
χ854-4-444-200-4422-44-2-4-2022-2000000-442-200000000000000000002-20000000000000000002i3−2i3−2i32i30000000000000000000000
χ864-4-44-24004-4-4-42-242-2022-2000000-224-40000000000000000000-22004i−4i000000−2i2i−2i2i000000000000000000000000000000
χ874-4-44-24004-4-4-42-242-2022-2000000-224-40000000000000000000-2200−4i4i0000002i−2i2i−2i000000000000000000000000000000
χ884-4-44-2400-44-4-42-242-2022-20000002-2-4400000000000000000002-2000000000023−23−2323000000000000000000000000000000
χ894-4-44-2400-44-4-42-242-2022-20000002-2-4400000000000000000002-20000000000−232323−23000000000000000000000000000000
χ9088-8-8-480000-88-44-84-404-44000000000000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-8-4-400004-4-444420-22-20043−4300000000000000000000000−23230000000000000000000000000000000000000000000000
χ9288-8-8-4-400004-4-444420-22-200−43430000000000000000000000023−230000000000000000000000000000000000000000000000
χ938-88-8-4-48i−8i00-44444-4202-2-2−4i4i00−4i4i00000000000000000002i−2i000000000000000000000000000000000000000000000000
χ948-88-8-4-4−8i8i00-44444-4202-2-24i−4i004i−4i0000000000000000000−2i2i000000000000000000000000000000000000000000000000
χ958-8-88-4-4008-8444-4-4420-2-22000000-44-4400000000000000000002-200000000000000000000000000000000000000000000
χ968-8-88-4-400-88444-4-4420-2-220000004-44-40000000000000000000-2200000000000000000000000000000000000000000000

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