Finite Group Databasebeta

← Group #11895697

Character table — Group #11895697

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222224444444444444446666666688888888888881212121212121212121212121212121212121212121216161616161624242424242424363636363636484872
order122233444466666634666121212121212121212124444888844121212121212121212121244448812121212121212122424242424242424121212121212244121212124488886122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-11-1-1111111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1
χ311111111111111111111111111111111111-1-1-1-111111111111111111-1-111111111-1-1-1-1-1-1-1-1111111-1-111111-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111-1-1-1-1111
χ51111111111111111111111111111111-1-1-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-111-1
χ61111111111111111111111111111111-1-1-1-11111-1-1-1-11-1-111111111-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-11
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
χ81111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1111111-1
χ9111111-1-1111111111-1111-1-1-1-111-1-11111-1-111111-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-11-111-1-11-111-111-1-111-1-11-11
χ10111111-1-1111111111-1111-1-1-1-111-1-11111-1-11111-1111-1-1-111-1-1-1-111-11-1-11111-1-1111111-1-1-1-1-11-1-111-11-11-1-1-11111-1-1-11-1
χ11111111-1-1111111111-1111-1-1-1-111-1-11111-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-111111-111-1-1-1111-11111-1-111-11-1
χ12111111-1-1111111111-1111-1-1-1-111-1-11111-1-1-1-1-1-1-1111-1-1-111-1-1-1-111-11111111-1-111-1-1-1-11111-11-1-1111-1-11-1-1-1-1-1-1-1111-11
χ13111111-1-1111111111-1111-1-1-1-111-1-111-1-11111111-1-1-1-11111-1-1-1-1111-1-1-1111111-1-11111-1-1-1-11-111-1-11-1-1-11-1-111-1-1111-1-1
χ14111111-1-1111111111-1111-1-1-1-111-1-111-1-1111111-1111-1-1-111-1-1-1-1-1-11-1-1-1-1-1-1-111-1-11111-1-1-1-1-11-1-111-111-1111-1-1-1-111-111
χ15111111-1-1111111111-1111-1-1-1-111-1-111-1-111-1-1-1-11-1-1-1-11111-1-1-1-1111-111111111-1-1-1-1-1-111111-111-1-1-11-1-11-1-1-1-111-1-1-111
χ16111111-1-1111111111-1111-1-1-1-111-1-111-1-111-1-1-1-1-1111-1-1-111-1-1-1-1-1-11-111-1-1-1-111-1-1-1-1-1-11111-11-1-1111-11-11111111-1-11-1-1
χ1722222222-2-22222222-222222-2-2-2-222-2-2222200000000-200-2-222-2-200-2-2000000222200000000000000000-2-200000000000
χ1822222222-2-22222222-222222-2-2-2-222-2-2-2-2-2-200000000-200-2-222-2-20022000000-2-2-2-2000000000000000002200000000000
χ19222222-2-2-2-222222222222-2-222-2-2-2-2-2-222-2-200000000200-2-2-2-222002-2000000-2-22200000000000000000-2200000000000
χ20222222-2-2-2-222222222222-2-222-2-2-2-2-2-2-2-22200000000200-2-2-2-22200-2200000022-2-2000000000000000002-200000000000
χ2122222-12222-1-12-122-12-1-1-1-1-1-1-12222-1-1000022222222222-1-1-1-1-1-100002200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-12200000000000-1-10
χ2222222-12222-1-12-122-12-1-1-1-1-1-1-12222-1-100002222-2-2-2-22-2-2-1-1-1-1-1-100002200000000-1-1-1-1-1-1-1-1111111-2-200000000000110
χ2322222-12222-1-12-122-12-1-1-1-1-1-1-12222-1-10000-2-2-2-22222222-1-1-1-1-1-10000-2-20000000011111111-1-1-1-1-1-1-2-200000000000110
χ2422222-12222-1-12-122-12-1-1-1-1-1-1-12222-1-10000-2-2-2-2-2-2-2-22-2-2-1-1-1-1-1-10000-2-200000000111111111111112200000000000-1-10
χ2522222-1-2-222-1-12-122-1-2-1-1-1111122-2-2-1-1000022222-2-2-2-222-1-111110000-2-200000000-1-1-1-11111-11-1-1112-200000000000-110
χ2622222-1-2-222-1-12-122-1-2-1-1-1111122-2-2-1-100002222-2222-2-2-2-1-111110000-2-200000000-1-1-1-111111-111-1-1-22000000000001-10
χ2722222-1-2-222-1-12-122-1-2-1-1-1111122-2-2-1-10000-2-2-2-22-2-2-2-222-1-11111000022000000001111-1-1-1-1-11-1-111-22000000000001-10
χ2822222-1-2-222-1-12-122-1-2-1-1-1111122-2-2-1-10000-2-2-2-2-2222-2-2-2-1-11111000022000000001111-1-1-1-11-111-1-12-200000000000-110
χ292222-12222222-12-1-1-12-1-1-12222-1-1-1-1222222000022-1-1-1-1-1-1-1-1-1-1-1222200-1-1-1-1-1-1-1-10000000022-1-1-1-1002-1-1-1-1000000000
χ302222-12222222-12-1-1-12-1-1-12222-1-1-1-12222220000-2-211-111-1-1-1-1-1-1-2-222001111-1-1-1-100000000-2-2111100-2-1-111000000000
χ312222-12222222-12-1-1-12-1-1-12222-1-1-1-122-2-2-2-2000022-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200111111110000000022-1-1-1-100-21111000000000
χ322222-12222222-12-1-1-12-1-1-12222-1-1-1-122-2-2-2-20000-2-211-111-1-1-1-1-1-122-2-200-1-1-1-1111100000000-2-2111100211-1-1000000000
χ332222-1222-2-222-12-1-1-1-2-1-1-122-2-211-1-1-2-22222000000−i3i31−i3i311-1-11100-2-200−i3−i3i3i3-1-1-1-10000000000−i3i3−i3i300011−i3i3000000000
χ342222-1222-2-222-12-1-1-1-2-1-1-122-2-211-1-1-2-22222000000i3−i31i3−i311-1-11100-2-200i3i3−i3−i3-1-1-1-10000000000i3−i3i3−i300011i3−i3000000000
χ352222-1222-2-222-12-1-1-1-2-1-1-122-2-211-1-1-2-2-2-2-2-2000000−i3i31−i3i311-1-111002200i3i3−i3−i311110000000000−i3i3−i3i3000-1-1i3−i3000000000
χ362222-1222-2-222-12-1-1-1-2-1-1-122-2-211-1-1-2-2-2-2-2-2000000i3−i31i3−i311-1-111002200−i3−i3i3i311110000000000i3−i3i3−i3000-1-1−i3i3000000000
χ372222-12-2-22222-12-1-1-1-2-1-1-1-2-2-2-2-1-1112222-2-200002-2111-1-1-1-11111-2-2-2200111111-1-1000000002-2-1-111002-11-1-1000000000
χ382222-12-2-22222-12-1-1-1-2-1-1-1-2-2-2-2-1-1112222-2-20000-22-1-1111-1-1111122-2200-1-1-1-111-1-100000000-2211-1-100-2-1111000000000
χ392222-12-2-22222-12-1-1-1-2-1-1-1-2-2-2-2-1-11122-2-22200002-2111-1-1-1-11111222-200-1-1-1-1-1-111000000002-2-1-11100-21-111000000000
χ402222-12-2-22222-12-1-1-1-2-1-1-1-2-2-2-2-1-11122-2-2220000-22-1-1111-1-11111-2-22-2001111-1-11100000000-2211-1-10021-1-1-1000000000
χ412222-12-2-2-2-222-12-1-1-12-1-1-1-2-2221111-2-222-2-2000000−i3i3-1i3−i31111-1-1002-200−i3−i3i3i311-1-10000000000i3−i3−i3i30001-1i3−i3000000000
χ422222-12-2-2-2-222-12-1-1-12-1-1-1-2-2221111-2-222-2-2000000i3−i3-1−i3i31111-1-1002-200i3i3−i3−i311-1-10000000000−i3i3i3−i30001-1−i3i3000000000
χ432222-12-2-2-2-222-12-1-1-12-1-1-1-2-2221111-2-2-2-222000000−i3i3-1i3−i31111-1-100-2200i3i3−i3−i3-1-1110000000000i3−i3−i3i3000-11−i3i3000000000
χ442222-12-2-2-2-222-12-1-1-12-1-1-1-2-2221111-2-2-2-222000000i3−i3-1−i3i31111-1-100-2200−i3−i3i3i3-1-1110000000000−i3i3i3−i3000-11i3−i3000000000
χ4522-2-22200-22-2-222-2-2202-2-200002-2002-200002i2i−2i−2i00000002-200002-200002-22-200002i2i−2i−2i000000000000000002i−2i0000000
χ4622-2-22200-22-2-222-2-2202-2-200002-2002-200002i2i−2i−2i00000002-20000-220000-22-2200002i2i−2i−2i00000000000000000−2i2i0000000
χ4722-2-22200-22-2-222-2-2202-2-200002-2002-20000−2i−2i2i2i00000002-200002-200002-22-20000−2i−2i2i2i00000000000000000−2i2i0000000
χ4822-2-22200-22-2-222-2-2202-2-200002-2002-20000−2i−2i2i2i00000002-20000-220000-22-220000−2i−2i2i2i000000000000000002i−2i0000000
χ492-22-2222i−2i002-2-2-2-2220-22-22i−2i00002i−2i002-22i−2i2−22−20000000002i−2i000000−i2i200002i−2i2-22−22−2−i2−i2i2i20000000000000002−2−i2i2000
χ502-22-2222i−2i002-2-2-2-2220-22-22i−2i00002i−2i002-22i−2i−22−220000000002i−2i000000i2−i200002i−2i2-2−22−22i2i2−i2−i2000000000000000−22i2−i2000
χ512-22-2222i−2i002-2-2-2-2220-22-22i−2i00002i−2i00-22−2i2i2−22−20000000002i−2i000000−i2i20000−2i2i-222−22−2−i2−i2i2i2000000000000000−22i2−i2000
χ522-22-2222i−2i002-2-2-2-2220-22-22i−2i00002i−2i00-22−2i2i−22−220000000002i−2i000000i2−i20000−2i2i-22−22−22i2i2−i2−i20000000000000002−2−i2i2000
χ532-22-222−2i2i002-2-2-2-2220-22-2−2i2i0000−2i2i002-2−2i2i2−22−2000000000−2i2i000000i2−i20000−2i2i2-22−22−2i2i2−i2−i20000000000000002−2i2−i2000
χ542-22-222−2i2i002-2-2-2-2220-22-2−2i2i0000−2i2i002-2−2i2i−22−22000000000−2i2i000000−i2i20000−2i2i2-2−22−22−i2−i2i2i2000000000000000−22−i2i2000
χ552-22-222−2i2i002-2-2-2-2220-22-2−2i2i0000−2i2i00-222i−2i2−22−2000000000−2i2i000000i2−i200002i−2i-222−22−2i2i2−i2−i2000000000000000−22−i2i2000
χ562-22-222−2i2i002-2-2-2-2220-22-2−2i2i0000−2i2i00-222i−2i−22−22000000000−2i2i000000−i2i200002i−2i-22−22−22−i2−i2i2i20000000000000002−2i2−i2000
χ5744444-244-4-4-2-24-244-2-4-2-2-2-2-222-4-44422000000000000-40022-2-22200000000000000000000000000000000000000000000
χ5844444-2-4-4-4-4-2-24-244-24-2-2-222-2-2-4-4-4-4220000000000004002222-2-200000000000000000000000000000000000000000000
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
χ604444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-200000000-4-422-222111111000000000000000000000022-1-1-1-10000000000000000
χ614444-2-244-4-4-2-2-2-2-2-21-4111-2-22222-2-2220000000000−2i32i32−2i32i3-1-111-1-1000000000000000000000000i3−i3i3−i30000000000000000
χ624444-2-244-4-4-2-2-2-2-2-21-4111-2-22222-2-22200000000002i3−2i322i3−2i3-1-111-1-1000000000000000000000000−i3i3−i3i30000000000000000
χ634444-2-2-4-444-2-2-2-2-2-21-41112222-2-222-2-2000000004-4222-2-211-1-1-1-10000000000000000000000-2211-1-10000000000000000
χ644444-2-2-4-444-2-2-2-2-2-21-41112222-2-222-2-200000000-44-2-222211-1-1-1-100000000000000000000002-2-1-1110000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-21411122-2-22222220000000000−2i32i3-22i3−2i3-1-1-1-111000000000000000000000000−i3i3i3−i30000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-21411122-2-222222200000000002i3−2i3-2−2i32i3-1-1-1-111000000000000000000000000i3−i3−i3i30000000000000000
χ6744-4-444004-4-4-444-4-4404-4-40000-4400-44000000000000000-44000000000000000000000000000000000000000000000000
χ6844-4-44-2004-4224-2-4-4-20-2220000-44002-20000000000000002-2000000000000000000000023−2323−230000000000000000000000
χ6944-4-44-2004-4224-2-4-4-20-2220000-44002-20000000000000002-20000000000000000000000−2323−23230000000000000000000000
χ7044-4-44-200-44224-2-4-4-20-22200004-400-2200004i4i−4i−4i0000000-22000000000000000000−2i−2i2i2i00000000000000000000000000
χ7144-4-44-200-44224-2-4-4-20-22200004-400-220000−4i−4i4i4i0000000-220000000000000000002i2i−2i−2i00000000000000000000000000
χ7244-4-4-24004-4-4-4-2422-20-22200002-200-440000000000000002-20000000000−2i32i32i3−2i30000000000000000000000000000000000
χ7344-4-4-24004-4-4-4-2422-20-22200002-200-440000000000000002-200000000002i3−2i3−2i32i30000000000000000000000000000000000
χ7444-4-4-2400-44-4-4-2422-20-2220000-22004-4000000000000000-2200004-40000-22-220000000000000000000000000000000000
χ7544-4-4-2400-44-4-4-2422-20-2220000-22004-4000000000000000-220000-4400002-22-20000000000000000000000000000000000
χ764-44-44-24i−4i00-22-42-44-202-22−2i2i00004i−4i00000022−2222−22000000000−2i2i000000−2i22i200000000−22−22i2i2−i2−i20000000000000000000000
χ774-44-44-24i−4i00-22-42-44-202-22−2i2i00004i−4i000000−2222−2222000000000−2i2i0000002i2−2i2000000002−22−2−i2−i2i2i20000000000000000000000
χ784-44-44-2−4i4i00-22-42-44-202-222i−2i0000−4i4i00000022−2222−220000000002i−2i0000002i2−2i200000000−22−22−i2−i2i2i20000000000000000000000
χ794-44-44-2−4i4i00-22-42-44-202-222i−2i0000−4i4i000000−2222−22220000000002i−2i000000−2i22i2000000002−22−2i2i2−i2−i20000000000000000000000
χ804-44-4-244i−4i004-42-42-2-202-224i−4i0000−2i2i004-44i−4i0000000000000−2i2i000000000000−2i2i-22000000000000000000000000000000
χ814-44-4-244i−4i004-42-42-2-202-224i−4i0000−2i2i00-44−4i4i0000000000000−2i2i0000000000002i−2i2-2000000000000000000000000000000
χ824-44-4-24−4i4i004-42-42-2-202-22−4i4i00002i−2i004-4−4i4i00000000000002i−2i0000000000002i−2i-22000000000000000000000000000000
χ834-44-4-24−4i4i004-42-42-2-202-22−4i4i00002i−2i00-444i−4i00000000000002i−2i000000000000−2i2i2-2000000000000000000000000000000
χ844-4-44440000-44-4-44-440-4-4400000000000000−2i22i22i2−2i2000000000000000000000000000−2i22i22i2−2i200000000000000000000000000
χ854-4-44440000-44-4-44-440-4-44000000000000002i2−2i2−2i22i20000000000000000000000000002i2−2i2−2i22i200000000000000000000000000
χ864-4-444-200002-2-424-4-2022-20023−230000000000−2i22i22i2−2i20000000000023−2300000000000000i2−i2−i2i2i6−i6−i6i60000000000000000000000
χ874-4-444-200002-2-424-4-2022-20023−2300000000002i2−2i2−2i22i20000000000023−2300000000000000−i2i2i2−i2−i6i6i6−i60000000000000000000000
χ884-4-444-200002-2-424-4-2022-200−23230000000000−2i22i22i2−2i200000000000−232300000000000000i2−i2−i2i2−i6i6i6−i60000000000000000000000
χ894-4-444-200002-2-424-4-2022-200−232300000000002i2−2i2−2i22i200000000000−232300000000000000−i2i2i2−i2i6−i6−i6i60000000000000000000000
χ9088-8-8-4-4008-844-4-444202-2-200004-4004-4000000000000000-22000000000000000000000000000000000000000000000000
χ9188-8-8-4-400-8844-4-444202-2-20000-4400-440000000000000002-2000000000000000000000000000000000000000000000000
χ928-88-8-4-48i−8i00-44444-420-22-2−4i4i0000−4i4i00000000000000000002i−2i0000000000000000000000000000000000000000000000
χ938-88-8-4-4−8i8i00-44444-420-22-24i−4i00004i−4i0000000000000000000−2i2i0000000000000000000000000000000000000000000000
χ948-8-88-480000-884-8-44-4044-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-400004-444-4420-2-220043−430000000000000000000000000−232300000000000000000000000000000000000000000000
χ968-8-88-4-400004-444-4420-2-2200−4343000000000000000000000000023−2300000000000000000000000000000000000000000000

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