Finite Group Databasebeta

← Group #10950886

Character table — Group #10950886

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222222222222222222244444444444444444444444444444444441212121212121212121212121212121216161616161616161616161648484848
order122234444444444666888888881212121224668888121212121212121212122424242424242424242424242424242416161616161616161616161616161616444412121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111-1-111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ61111111-1-111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ71111111-1-111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-111
χ81111111-1-111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1
χ911111-1-111-1-11111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-111-1-111-1-11-11-1
χ1011111-1-111-1-11111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-1-111-1-111-11-11
χ1111111-1-111-1-11111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-111-1-111-1-1-11-11
χ1211111-1-111-1-11111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-11-1-111-1-1111-11-1
χ1311111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1111-1-11
χ1411111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1-111-1
χ1511111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-1111-1-1-1-111-111-1
χ1611111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-1-1-11111-1-11-1-11
χ17222222222222222222-2-2-2-2-2-2-2-222222222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000
χ18222222222-2-2-2-2-2-222200000000-2-2-2-22-2220000-2-22222-2-2-2-2000000000000000022−2−222−2−222−2−222−2−20000000000000000
χ19222222222-2-2-2-2-2-222200000000-2-2-2-22-2220000-2-22222-2-2-2-20000000000000000−2−222−2−222−2−222−2−2220000000000000000
χ202222222-2-222-2-222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-222-2-2-2-2-2-2-2-22222222200000000000000000000000000000000
χ212222222-2-2-2-222-2-2222000000002222-22-2-20000-2-222-2-222-2-2000000000000000022−2−222−2−2−2−222−2−2220000000000000000
χ222222222-2-2-2-222-2-2222000000002222-22-2-20000-2-222-2-222-2-20000000000000000−2−222−2−22222−2−222−2−20000000000000000
χ2322222-2-22222-2-2-2-222200000000-2-2-2-2-22-2-2000022-2-22222-2-2000000000000000022−2−2−2−22222−2−2−2−2220000000000000000
χ2422222-2-22222-2-2-2-222200000000-2-2-2-2-22-2-2000022-2-22222-2-20000000000000000−2−22222−2−2−2−22222−2−20000000000000000
χ2522222-2-222-2-222222222222-2-2-2-22222-2-2-2-2-2-222-2-2-2-222-2-222-2-2-2-22222-2-2-2-2222200000000000000000000000000000000
χ2622222-2-2-2-22222-2-22220000000022222-222000022-2-2-2-2-2-2-2-2000000000000000022−2−2−2−222−2−22222−2−20000000000000000
χ2722222-2-2-2-22222-2-22220000000022222-222000022-2-2-2-2-2-2-2-20000000000000000−2−22222−2−222−2−2−2−2220000000000000000
χ2822222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-200000000000000000000000000000000
χ292222-12222222222-1-1-122222222-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-10000
χ302222-12222222222-1-1-122222222-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-2111111110000
χ312222-12222222222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-122-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1111111111111111100000000000000000000−i3i3−i3i3−i3i3−i3i30000
χ322222-12222222222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-122-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1111111111111111100000000000000000000i3−i3i3−i3i3−i3i3−i30000
χ332222-122-2-222-2-222-1-1-1222222221111-2-211-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111000000000000000022-2-2-1-1-1-111110000
χ342222-122-2-222-2-222-1-1-1222222221111-2-211-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111110000000000000000-2-2221111-1-1-1-10000
χ352222-122-2-222-2-222-1-1-1-2-2-2-2-2-2-2-21111-2-2112222-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-100000000000000000000−i3i3−i3i3i3−i3i3−i30000
χ362222-122-2-222-2-222-1-1-1-2-2-2-2-2-2-2-21111-2-2112222-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-100000000000000000000i3−i3i3−i3−i3i3−i3i30000
χ372222-1-2-222-2-22222-1-1-12222-2-2-2-2-1-1-1-1-2-211-2-2221111-1-111-1-11111-1-1-1-11111-1-1-1-100000000000000000000−i3i3i3−i3−i3i3i3−i30000
χ382222-1-2-222-2-22222-1-1-12222-2-2-2-2-1-1-1-1-2-211-2-2221111-1-111-1-11111-1-1-1-11111-1-1-1-100000000000000000000i3−i3−i3i3i3−i3−i3i30000
χ392222-1-2-222-2-22222-1-1-1-2-2-2-22222-1-1-1-1-2-21122-2-21111-1-111-1-1-1-1-1-11111-1-1-1-1111100000000000000002-22-2-1-111-1-1110000
χ402222-1-2-222-2-22222-1-1-1-2-2-2-22222-1-1-1-1-2-21122-2-21111-1-111-1-1-1-1-1-11111-1-1-1-111110000000000000000-22-2211-1-111-1-10000
χ412222-1-2-2-2-2-2-2-2-222-1-1-12222-2-2-2-2111122-1-122-2-2111111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000000000000000−i3i3i3−i3i3−i3−i3i30000
χ422222-1-2-2-2-2-2-2-2-222-1-1-12222-2-2-2-2111122-1-122-2-2111111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000000000000000i3−i3−i3i3−i3i3i3−i30000
χ432222-1-2-2-2-2-2-2-2-222-1-1-1-2-2-2-22222111122-1-1-2-222111111-1-1-1-1-1-1-1-111111111-1-1-1-100000000000000002-2-22-1-11111-1-10000
χ442222-1-2-2-2-2-2-2-2-222-1-1-1-2-2-2-22222111122-1-1-2-222111111-1-1-1-1-1-1-1-111111111-1-1-1-10000000000000000-222-211-1-1-1-1110000
χ452-2-222002i−2i002i−2i2-2-22-2000022-2-22i2i−2i−2i00002i−2i0000002i−2i002-222-2-200002i2i−2i−2i000000002-22-200002i−2i2i−2i0000000000000000
χ462-2-222002i−2i002i−2i2-2-22-2000022-2-22i2i−2i−2i00002i−2i0000002i−2i002-222-2-200002i2i−2i−2i00000000-22-220000−2i2i−2i2i0000000000000000
χ472-2-222002i−2i002i−2i2-2-22-20000-2-2222i2i−2i−2i0000−2i2i0000002i−2i002-2-2-2220000−2i−2i2i2i00002-22-200002i−2i2i−2i00000000000000000000
χ482-2-222002i−2i002i−2i2-2-22-20000-2-2222i2i−2i−2i0000−2i2i0000002i−2i002-2-2-2220000−2i−2i2i2i0000-22-220000−2i2i−2i2i00000000000000000000
χ492-2-222002i−2i00−2i2i-22-22-222-2-20000−2i−2i2i2i0000002i−2i00002i−2i00-22000022-2-200002i2i−2i−2i2−2−222−2−22i2−i2−i2i2i2−i2−i2i20000000000000000
χ502-2-222002i−2i00−2i2i-22-22-222-2-20000−2i−2i2i2i0000002i−2i00002i−2i00-22000022-2-200002i2i−2i−2i−222−2−222−2−i2i2i2−i2−i2i2i2−i20000000000000000
χ512-2-222002i−2i00−2i2i-22-22-2-2-2220000−2i−2i2i2i000000−2i2i00002i−2i00-220000-2-2220000−2i−2i2i2i2−2−22−222−2i2−i2−i2i2−i2i2i2−i20000000000000000
χ522-2-222002i−2i00−2i2i-22-22-2-2-2220000−2i−2i2i2i000000−2i2i00002i−2i00-220000-2-2220000−2i−2i2i2i−222−22−2−22−i2i2i2−i2i2−i2−i2i20000000000000000
χ532-2-22200−2i2i002i−2i-22-22-222-2-200002i2i−2i−2i000000−2i2i0000−2i2i00-22000022-2-20000−2i−2i2i2i2−2−222−2−22−i2i2i2−i2−i2i2i2−i20000000000000000
χ542-2-22200−2i2i002i−2i-22-22-222-2-200002i2i−2i−2i000000−2i2i0000−2i2i00-22000022-2-20000−2i−2i2i2i−222−2−222−2i2−i2−i2i2i2−i2−i2i20000000000000000
χ552-2-22200−2i2i002i−2i-22-22-2-2-22200002i2i−2i−2i0000002i−2i0000−2i2i00-220000-2-22200002i2i−2i−2i2−2−22−222−2−i2i2i2−i2i2−i2−i2i20000000000000000
χ562-2-22200−2i2i002i−2i-22-22-2-2-22200002i2i−2i−2i0000002i−2i0000−2i2i00-220000-2-22200002i2i−2i−2i−222−22−2−22i2−i2−i2i2−i2i2i2−i20000000000000000
χ572-2-22200−2i2i00−2i2i2-2-22-2000022-2-2−2i−2i2i2i0000−2i2i000000−2i2i002-222-2-20000−2i−2i2i2i000000002-22-20000−2i2i−2i2i0000000000000000
χ582-2-22200−2i2i00−2i2i2-2-22-2000022-2-2−2i−2i2i2i0000−2i2i000000−2i2i002-222-2-20000−2i−2i2i2i00000000-22-2200002i−2i2i−2i0000000000000000
χ592-2-22200−2i2i00−2i2i2-2-22-20000-2-222−2i−2i2i2i00002i−2i000000−2i2i002-2-2-22200002i2i−2i−2i00002-22-20000−2i2i−2i2i00000000000000000000
χ602-2-22200−2i2i00−2i2i2-2-22-20000-2-222−2i−2i2i2i00002i−2i000000−2i2i002-2-2-22200002i2i−2i−2i0000-22-2200002i−2i2i−2i00000000000000000000
χ614444-24444-4-4-4-4-4-4-2-2-20000000022224-4-2-2000022-2-2-2-22222000000000000000000000000000000000000000000000000
χ624444-244-4-4-4-444-4-4-2-2-200000000-2-2-2-2-4422000022-2-222-2-222000000000000000000000000000000000000000000000000
χ634444-2-4-44444-4-4-4-4-2-2-2000000002222-44220000-2-222-2-2-2-222000000000000000000000000000000000000000000000000
χ644444-2-4-4-4-44444-4-4-2-2-200000000-2-2-2-24-4-2-20000-2-222222222000000000000000000000000000000000000000000000000
χ6544-4-444-400000000-4-4422−2222−2222−2222−22000000000000004-400000022−2222−2222−2222−220000000000000000000000000000000000000000
χ6644-4-444-400000000-4-44−2222−2222−2222−2222000000000000004-4000000−2222−2222−2222−22220000000000000000000000000000000000000000
χ6744-4-44-4400000000-4-4422−2222−22−2222−222200000000000000-44000000−2222−222222−2222−220000000000000000000000000000000000000000
χ6844-4-44-4400000000-4-44−2222−222222−2222−2200000000000000-4400000022−2222−22−2222−22220000000000000000000000000000000000000000
χ6944-4-4-24-40000000022-222−2222−2222−2222−2223−2323−230000000000-220023−2300−22−22−22−226−66−66−66−600000000000000000000000000000000
χ7044-4-4-24-40000000022-222−2222−2222−2222−22−2323−23230000000000-2200−232300−22−22−22−22−66−66−66−6600000000000000000000000000000000
χ7144-4-4-24-40000000022-2−2222−2222−2222−222223−2323−230000000000-220023−23002−22−22−22−2−66−66−66−6600000000000000000000000000000000
χ7244-4-4-24-40000000022-2−2222−2222−2222−2222−2323−23230000000000-2200−2323002−22−22−22−26−66−66−66−600000000000000000000000000000000
χ7344-4-4-2-440000000022-222−2222−22−2222−222223−2323−2300000000002-200−2323002−22−2−22−22−66−666−66−600000000000000000000000000000000
χ7444-4-4-2-440000000022-222−2222−22−2222−2222−2323−232300000000002-20023−23002−22−2−22−226−66−6−66−6600000000000000000000000000000000
χ7544-4-4-2-440000000022-2−2222−222222−2222−2223−2323−2300000000002-200−232300−22−222−22−26−66−6−66−6600000000000000000000000000000000
χ7644-4-4-2-440000000022-2−2222−222222−2222−22−2323−232300000000002-20023−2300−22−222−22−2−66−666−66−600000000000000000000000000000000
χ774-44-4400004-400004-4-422−22−222222−22−22220000000000004-40000000022−22−222222−22−22220000000000000000000000000000000000000000
χ784-44-4400004-400004-4-4−222222−22−222222−220000000000004-400000000−222222−22−222222−220000000000000000000000000000000000000000
χ794-44-440000-4400004-4-422−22−2222−222222−22000000000000-4400000000−222222−2222−22−22220000000000000000000000000000000000000000
χ804-44-440000-4400004-4-4−222222−2222−22−2222000000000000-440000000022−22−2222−222222−220000000000000000000000000000000000000000
χ814-44-4-200004-40000-22222−22−222222−22−2222−2i32i32i3−2i300−2i32i30000-2200000000−222−2−222−2−i6i6i6−i6i6−i6−i6i600000000000000000000000000000000
χ824-44-4-200004-40000-22222−22−222222−22−22222i3−2i3−2i32i3002i3−2i30000-2200000000−222−2−222−2i6−i6−i6i6−i6i6i6−i600000000000000000000000000000000
χ834-44-4-200004-40000-222−222222−22−222222−22−2i32i32i3−2i300−2i32i30000-22000000002−2−222−2−22i6−i6−i6i6−i6i6i6−i600000000000000000000000000000000
χ844-44-4-200004-40000-222−222222−22−222222−222i3−2i3−2i32i3002i3−2i30000-22000000002−2−222−2−22−i6i6i6−i6i6−i6−i6i600000000000000000000000000000000
χ854-44-4-20000-440000-22222−22−2222−222222−22−2i32i32i3−2i3002i3−2i300002-2000000002−2−22−222−2i6−i6−i6i6i6−i6−i6i600000000000000000000000000000000
χ864-44-4-20000-440000-22222−22−2222−222222−222i3−2i3−2i32i300−2i32i300002-2000000002−2−22−222−2−i6i6i6−i6−i6i6i6−i600000000000000000000000000000000
χ874-44-4-20000-440000-222−222222−2222−22−2222−2i32i32i3−2i3002i3−2i300002-200000000−222−22−2−22−i6i6i6−i6−i6i6i6−i600000000000000000000000000000000
χ884-44-4-20000-440000-222−222222−2222−22−22222i3−2i3−2i32i300−2i32i300002-200000000−222−22−2−22i6−i6−i6i6i6−i6−i6i600000000000000000000000000000000
χ894-4-44-2004i−4i004i−4i4-42-22000044-4-4−2i−2i2i2i00004i−4i000000−2i2i00-22-2-2220000−2i−2i2i2i000000000000000000000000000000000000
χ904-4-44-2004i−4i004i−4i4-42-220000-4-444−2i−2i2i2i0000−4i4i000000−2i2i00-2222-2-200002i2i−2i−2i000000000000000000000000000000000000
χ914-4-44-2004i−4i00−4i4i-442-2244-4-400002i2i−2i−2i0000004i−4i0000−2i2i002-20000-2-2220000−2i−2i2i2i00000000000000000000000000000000
χ924-4-44-2004i−4i00−4i4i-442-22-4-44400002i2i−2i−2i000000−4i4i0000−2i2i002-2000022-2-200002i2i−2i−2i00000000000000000000000000000000
χ934-4-44-200−4i4i004i−4i-442-2244-4-40000−2i−2i2i2i000000−4i4i00002i−2i002-20000-2-22200002i2i−2i−2i00000000000000000000000000000000
χ944-4-44-200−4i4i004i−4i-442-22-4-4440000−2i−2i2i2i0000004i−4i00002i−2i002-2000022-2-20000−2i−2i2i2i00000000000000000000000000000000
χ954-4-44-200−4i4i00−4i4i4-42-22000044-4-42i2i−2i−2i0000−4i4i0000002i−2i00-22-2-22200002i2i−2i−2i000000000000000000000000000000000000
χ964-4-44-200−4i4i00−4i4i4-42-220000-4-4442i2i−2i−2i00004i−4i0000002i−2i00-2222-2-20000−2i−2i2i2i000000000000000000000000000000000000

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