Finite Group Databasebeta

← Group #11887438

Character table — Group #11887438

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222224444444444444446666666688888888888881212121212121212121212121212121212121212121216161616161624242424242424363636363636484872
order1222334444666666346661212121212121212121222448888441212121212121212121212244466881212121212122424242424242424121212121212224666122288886124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-11-1-1-1-111111111-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1
χ311111111111111111111111111111111111-1-1-1-11111111111111111111-1-1111111-1-1-1-1-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-11-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111-1-1-1-1111
χ51111111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111111111111111-111-1-1-1-1-1-1-1-1-1-111-1
χ61111111111111111111111111111111-1-1-1-11111-1-11-1-1-1-1111111-1-111-1-111-1-1111111111111-1-1-1-1-1-11-1-1-111-111-1-1-1-1-1-11
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
χ81111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111-1-1-1111111-1
χ9111111-1-1111111111-1111-1-1-1-111-1-11111-1-111111-1-111-1-111-1-1-1-1-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-11-11-1111-1-111-1-1-111
χ10111111-1-1111111111-1111-1-1-1-111-1-11111-1-11111-11-1-1-11111-1-1-1-1-111111-1-1-1-111111111-1-1-1-1-11-1-111-11-1-1-1-111111-1-11-1-1
χ11111111-1-1111111111-1111-1-1-1-111-1-11111-1-1-1-1-1-11-1-111-1-111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-111111-111-1-111-1-111111-1-1111-1-1
χ12111111-1-1111111111-1111-1-1-1-111-1-11111-1-1-1-1-1-1-11-1-1-11111-1-1-1-1-11111111-1-11111-1-1-1-11111-11-1-111-1-11-1-1-11-1-1-1-111-111
χ13111111-1-1111111111-1111-1-1-1-111-1-111-1-11111111-1-111-1-111-1-1-1-11-111-1-1-1-11111111111-1-1-1-11-111-1-1-1-111-1-1-111-1-111-11-1
χ14111111-1-1111111111-1111-1-1-1-111-1-111-1-1111111-11-1-1-11111-1-1-1-11-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-11-1-11111-1111-1-1-1-1-1111-11
χ15111111-1-1111111111-1111-1-1-1-111-1-111-1-111-1-1-1-11-1-111-1-111-1-1-1-11-111-1-111111111-1-1-1-111111-111-1-1-11-11-1-1-1-1-111-1-11-11
χ16111111-1-1111111111-1111-1-1-1-111-1-111-1-111-1-1-1-1-11-1-1-11111-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11-1-1111-11111-11111-1-1-11-1
χ1722222222-2-22222222-222222-2-2-2-222-2-22222000000-20000-2-222-2-2-2-200220022000000000000000000000-200-2000000000
χ1822222222-2-22222222-222222-2-2-2-222-2-2-2-2-2-2000000-20000-2-222-2-22200-2-200-2-20000000000000000000002002000000000
χ19222222-2-2-2-222222222222-2-222-2-2-2-2-2-222-2-200000020000-2-2-2-2222-2002200-2-2000000000000000000000200-2000000000
χ20222222-2-2-2-222222222222-2-222-2-2-2-2-2-2-2-22200000020000-2-2-2-222-2200-2-20022000000000000000000000-2002000000000
χ2122222-1222222-12-1-1-12-1-1-12222-1-1-1-1222222000022-1-1-1-1-1-1-1-1-1-1-12222-1-100-1-1-1-1-1-10000000022-1-1-1-1200-1-1-1-1000000000
χ2222222-1222222-12-1-1-12-1-1-12222-1-1-1-12222220000-2-2-11111-1-1-1-1-1-122-2-2-1-100-1-1111100000000-2-21111-200-111-1000000000
χ2322222-1222222-12-1-1-12-1-1-12222-1-1-1-122-2-2-2-2000022-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211001111110000000022-1-1-1-1-2001111000000000
χ2422222-1222222-12-1-1-12-1-1-12222-1-1-1-122-2-2-2-20000-2-2-11111-1-1-1-1-1-1-2-222110011-1-1-1-100000000-2-211112001-1-11000000000
χ2522222-122-2-222-12-1-1-1-2-1-1-122-2-211-1-1-2-222220000001−i3i3−i3i311-1-111-2-200-1-100-1-1−i3−i3i3i30000000000−i3i3−i3i30001−i3i31000000000
χ2622222-122-2-222-12-1-1-1-2-1-1-122-2-211-1-1-2-222220000001i3−i3i3−i311-1-111-2-200-1-100-1-1i3i3−i3−i30000000000i3−i3i3−i30001i3−i31000000000
χ2722222-122-2-222-12-1-1-1-2-1-1-122-2-211-1-1-2-2-2-2-2-20000001−i3i3−i3i311-1-1112200110011i3i3−i3−i30000000000−i3i3−i3i3000-1i3−i3-1000000000
χ2822222-122-2-222-12-1-1-1-2-1-1-122-2-211-1-1-2-2-2-2-2-20000001i3−i3i3−i311-1-1112200110011−i3−i3i3i30000000000i3−i3i3−i3000-1−i3i3-1000000000
χ2922222-1-2-22222-12-1-1-1-2-1-1-1-2-2-2-2-1-1112222-2-200002-21-1-111-1-11111-22-2-2-1-100111111000000002-2-1-1112001-1-1-1000000000
χ3022222-1-2-22222-12-1-1-1-2-1-1-1-2-2-2-2-1-1112222-2-20000-22111-1-1-1-11111-2222-1-10011-1-1-1-100000000-2211-1-1-200111-1000000000
χ3122222-1-2-22222-12-1-1-1-2-1-1-1-2-2-2-2-1-11122-2-22200002-21-1-111-1-111112-2221100-1-1-1-1-1-1000000002-2-1-111-200-1111000000000
χ3222222-1-2-22222-12-1-1-1-2-1-1-1-2-2-2-2-1-11122-2-2220000-22111-1-1-1-111112-2-2-21100-1-1111100000000-2211-1-1200-1-1-11000000000
χ3322222-1-2-2-2-222-12-1-1-12-1-1-1-2-2221111-2-222-2-2000000-1−i3i3i3−i31111-1-12-200-1-10011i3i3−i3−i30000000000−i3i3i3−i3000-1−i3i31000000000
χ3422222-1-2-2-2-222-12-1-1-12-1-1-1-2-2221111-2-222-2-2000000-1i3−i3−i3i31111-1-12-200-1-10011−i3−i3i3i30000000000i3−i3−i3i3000-1i3−i31000000000
χ3522222-1-2-2-2-222-12-1-1-12-1-1-1-2-2221111-2-2-2-222000000-1−i3i3i3−i31111-1-1-22001100-1-1−i3−i3i3i30000000000−i3i3i3−i30001i3−i3-1000000000
χ3622222-1-2-2-2-222-12-1-1-12-1-1-1-2-2221111-2-2-2-222000000-1i3−i3−i3i31111-1-1-22001100-1-1i3i3−i3−i30000000000i3−i3−i3i30001−i3i3-1000000000
χ372222-122222-1-12-122-12-1-1-1-1-1-1-12222-1-1000022222222222-1-1-1-1-1-100000022000000-1-1-1-1-1-1-1-1-1-1-1-1-1-10220000000000-1-10
χ382222-122222-1-12-122-12-1-1-1-1-1-1-12222-1-100002222-2-22-2-2-2-2-1-1-1-1-1-100000022000000-1-1-1-1-1-1-1-11111110-2-20000000000110
χ392222-122222-1-12-122-12-1-1-1-1-1-1-12222-1-10000-2-2-2-22222222-1-1-1-1-1-1000000-2-200000011111111-1-1-1-1-1-10-2-20000000000110
χ402222-122222-1-12-122-12-1-1-1-1-1-1-12222-1-10000-2-2-2-2-2-22-2-2-2-2-1-1-1-1-1-1000000-2-2000000111111111111110220000000000-1-10
χ412222-12-2-222-1-12-122-1-2-1-1-1111122-2-2-1-1000022222-2-222-2-2-1-11111000000-2-2000000-1-1-1-11111-11-1-1110-2200000000001-10
χ422222-12-2-222-1-12-122-1-2-1-1-1111122-2-2-1-100002222-22-2-2-222-1-11111000000-2-2000000-1-1-1-111111-111-1-102-20000000000-110
χ432222-12-2-222-1-12-122-1-2-1-1-1111122-2-2-1-10000-2-2-2-22-2-222-2-2-1-11111000000220000001111-1-1-1-1-11-1-11102-20000000000-110
χ442222-12-2-222-1-12-122-1-2-1-1-1111122-2-2-1-10000-2-2-2-2-22-2-2-222-1-11111000000220000001111-1-1-1-11-111-1-10-2200000000001-10
χ4522-2-2222i−2i002-22-2-2-220-22-22i−2i00002i−2i002-22i−2i−i2−i2i2i20000000002i−2i0000002-22−22i−2i0000−i2−i2i2i222−2−2000000000000000−i2i22−2000
χ4622-2-2222i−2i002-22-2-2-220-22-22i−2i00002i−2i002-22i−2ii2i2−i2−i20000000002i−2i0000002-2−222i−2i0000i2i2−i2−i2−2−222000000000000000i2−i2−22000
χ4722-2-2222i−2i002-22-2-2-220-22-22i−2i00002i−2i00-22−2i2i−i2−i2i2i20000000002i−2i000000-222−2−2i2i0000−i2−i2i2i222−2−2000000000000000i2−i2−22000
χ4822-2-2222i−2i002-22-2-2-220-22-22i−2i00002i−2i00-22−2i2ii2i2−i2−i20000000002i−2i000000-22−22−2i2i0000i2i2−i2−i2−2−222000000000000000−i2i22−2000
χ4922-2-222−2i2i002-22-2-2-220-22-2−2i2i0000−2i2i002-2−2i2i−i2−i2i2i2000000000−2i2i0000002-2−22−2i2i0000−i2−i2i2i2−2−222000000000000000−i2i2−22000
χ5022-2-222−2i2i002-22-2-2-220-22-2−2i2i0000−2i2i002-2−2i2ii2i2−i2−i2000000000−2i2i0000002-22−2−2i2i0000i2i2−i2−i222−2−2000000000000000i2−i22−2000
χ5122-2-222−2i2i002-22-2-2-220-22-2−2i2i0000−2i2i00-222i−2i−i2−i2i2i2000000000−2i2i000000-22−222i−2i0000−i2−i2i2i2−2−222000000000000000i2−i22−2000
χ5222-2-222−2i2i002-22-2-2-220-22-2−2i2i0000−2i2i00-222i−2ii2i2−i2−i2000000000−2i2i000000-222−22i−2i0000i2i2−i2−i222−2−2000000000000000−i2i2−22000
χ532-22-222002-2-2-2-222-2202-2-200002-2002-200002i−2i2i−2i00000002-20000002i−2i0000002i−2i2i−2i2i−2i2i−2i000000000000000002-20000000
χ542-22-222002-2-2-2-222-2202-2-200002-2002-200002i−2i2i−2i00000002-2000000−2i2i000000−2i2i−2i2i2i−2i2i−2i00000000000000000-220000000
χ552-22-222002-2-2-2-222-2202-2-200002-2002-20000−2i2i−2i2i00000002-20000002i−2i0000002i−2i2i−2i−2i2i−2i2i00000000000000000-220000000
χ562-22-222002-2-2-2-222-2202-2-200002-2002-20000−2i2i−2i2i00000002-2000000−2i2i000000−2i2i−2i2i−2i2i−2i2i000000000000000002-20000000
χ574444-2444-4-4-2-24-244-2-4-2-2-2-2-222-4-444220000000000-4000022-2-22200000000000000000000000000000000000000000000
χ584444-24-4-4-4-4-2-24-244-24-2-2-222-2-2-4-4-4-4220000000000400002222-2-200000000000000000000000000000000000000000000
χ594444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-20000000044-2-2-2-2-21111110000000000000000000000-2-211110000000000000000
χ604444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-200000000-4-4-22222111111000000000000000000000022-1-1-1-10000000000000000
χ614444-2-244-4-4-2-2-2-2-2-21-4111-2-22222-2-22200000000002−2i32i3−2i32i3-1-111-1-1000000000000000000000000i3−i3i3−i30000000000000000
χ624444-2-244-4-4-2-2-2-2-2-21-4111-2-22222-2-222000000000022i3−2i32i3−2i3-1-111-1-1000000000000000000000000−i3i3−i3i30000000000000000
χ634444-2-2-4-444-2-2-2-2-2-21-41112222-2-222-2-2000000004-42-2-22211-1-1-1-10000000000000000000000-2211-1-10000000000000000
χ644444-2-2-4-444-2-2-2-2-2-21-41112222-2-222-2-200000000-44222-2-211-1-1-1-100000000000000000000002-2-1-1110000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-21411122-2-22222220000000000-2−2i32i32i3−2i3-1-1-1-111000000000000000000000000i3−i3−i3i30000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-21411122-2-22222220000000000-22i3−2i3−2i32i3-1-1-1-111000000000000000000000000−i3i3i3−i30000000000000000
χ6744-4-44-24i−4i004-4-2-422-202-224i−4i0000−2i2i004-44i−4i0000000000000−2i2i000000-2200−2i2i0000000000000000000000000000000000
χ6844-4-44-24i−4i004-4-2-422-202-224i−4i0000−2i2i00-44−4i4i0000000000000−2i2i0000002-2002i−2i0000000000000000000000000000000000
χ6944-4-44-2−4i4i004-4-2-422-202-22−4i4i00002i−2i004-4−4i4i00000000000002i−2i000000-22002i−2i0000000000000000000000000000000000
χ7044-4-44-2−4i4i004-4-2-422-202-22−4i4i00002i−2i00-444i−4i00000000000002i−2i0000002-200−2i2i0000000000000000000000000000000000
χ7144-4-4-244i−4i00-2242-4-4-202-22−2i2i00004i−4i000000−2i2−2i22i22i2000000000−2i2i0000000022−22000000i2i2−i2−i2−2−2220000000000000000000000
χ7244-4-4-244i−4i00-2242-4-4-202-22−2i2i00004i−4i0000002i22i2−2i2−2i2000000000−2i2i00000000−2222000000−i2−i2i2i222−2−20000000000000000000000
χ7344-4-4-24−4i4i00-2242-4-4-202-222i−2i0000−4i4i000000−2i2−2i22i22i20000000002i−2i00000000−2222000000i2i2−i2−i222−2−20000000000000000000000
χ7444-4-4-24−4i4i00-2242-4-4-202-222i−2i0000−4i4i0000002i22i2−2i2−2i20000000002i−2i0000000022−22000000−i2−i2i2i2−2−2220000000000000000000000
χ754-44-44400-44-4-4-444-4404-4-40000-4400-44000000000000000-44000000000000000000000000000000000000000000000000
χ764-44-44-2004-4-4-424-22-20-2220000-22004-4000000000000000-220000004i−4i000000−2i2i−2i2i000000000000000000000000000000
χ774-44-44-2004-4-4-424-22-20-2220000-22004-4000000000000000-22000000−4i4i0000002i−2i2i−2i000000000000000000000000000000
χ784-44-44-200-44-4-424-22-20-22200002-200-440000000000000002-20000000000000023−23−2323000000000000000000000000000000
χ794-44-44-200-44-4-424-22-20-22200002-200-440000000000000002-200000000000000−232323−23000000000000000000000000000000
χ804-44-4-24004-422-4-24-4-20-22200004-400-2200004i−4i4i−4i0000000-22000000000000000000−2i2i−2i2i00000000000000000000000000
χ814-44-4-24004-422-4-24-4-20-22200004-400-220000−4i4i−4i4i0000000-220000000000000000002i−2i2i−2i00000000000000000000000000
χ824-44-4-2400-4422-4-24-4-20-2220000-44002-20000000000000002-2000000000000000000000023−2323−230000000000000000000000
χ834-44-4-2400-4422-4-24-4-20-2220000-44002-20000000000000002-20000000000000000000000−2323−23230000000000000000000000
χ844-4-44440000-44-4-4-4440-4-440000000000000022−22−222200000000000000000000000000022−22−222200000000000000000000000000
χ854-4-44440000-44-4-4-4440-4-4400000000000000−222222−22000000000000000000000000000−222222−2200000000000000000000000000
χ864-4-44-2400002-2-42-44-2022-20023−23000000000022−22−22220000000000023−2300000000000000−222−26−6−660000000000000000000000
χ874-4-44-2400002-2-42-44-2022-20023−230000000000−222222−220000000000023−23000000000000002−2−22−666−60000000000000000000000
χ884-4-44-2400002-2-42-44-2022-200−2323000000000022−22−222200000000000−232300000000000000−222−2−666−60000000000000000000000
χ894-4-44-2400002-2-42-44-2022-200−23230000000000−222222−2200000000000−2323000000000000002−2−226−6−660000000000000000000000
χ9088-8-8-4-48i−8i00-44-444420-22-2−4i4i0000−4i4i00000000000000000002i−2i0000000000000000000000000000000000000000000000
χ9188-8-8-4-4−8i8i00-44-444420-22-24i−4i00004i−4i0000000000000000000−2i2i0000000000000000000000000000000000000000000000
χ928-88-8-4-4008-8444-4-44202-2-20000-4400-440000000000000002-2000000000000000000000000000000000000000000000000
χ938-88-8-4-400-88444-4-44202-2-200004-4004-4000000000000000-22000000000000000000000000000000000000000000000000
χ948-8-888-40000-884-84-4-4044-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-400004-4444-420-2-220043−430000000000000000000000000−232300000000000000000000000000000000000000000000
χ968-8-88-4-400004-4444-420-2-2200−4343000000000000000000000000023−2300000000000000000000000000000000000000000000

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