Finite Group Databasebeta

← Group #10883506

Character table — Group #10883506

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222222222222222244444444444444444444444444444444444416161616161616161616161624242424242424242424242424242424
order12222234444444466688881212121244668888881212121212121212121224242424242424242424242424242424888824242424242424242244444444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1
χ5111111111111111111-1-1-1-111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1
χ6111111111111111111-1-1-1-111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111
χ7111111111111111111-1-1-1-111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-111-1-1-1-1
χ8111111111111111111-1-1-1-111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-111-1-11111
χ91111111-1-1-1-1111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-11-111-1-11-1-1-11111-1-1
χ101111111-1-1-1-1111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-1-11-1-111-1111-1-1-1-111
χ111111111-1-1-1-1111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-1111-1-1-1111-111-1-111-1-1
χ121111111-1-1-1-1111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1111-1-1-11-1-111-1-111
χ131111111-1-1-1-11111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-1111-111111-1-1-1-1-1-1-111
χ141111111-1-1-1-11111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-111-11-1-1-1-1-11111111-1-1
χ151111111-1-1-1-11111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-111-1-1-11111-1-11-1-1-1-1-11-11111-1-111
χ161111111-1-1-1-11111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-111-1-1-11111-1-1-111111-11-1-1-1-111-1-1
χ1722222222222-2-2-2-22220000-2-2-2-2-2-2220000002222-2-2-2-2-2-200000000000000000000000000000000000000002i−2i2i−2i
χ1822222222222-2-2-2-22220000-2-2-2-2-2-2220000002222-2-2-2-2-2-20000000000000000000000000000000000000000−2i2i−2i2i
χ192222222-2-2-2-2-2-2-2-22220000-2-2-2-22222000000-2-2-2-22222-2-200000000000000000000000000000000000000002i−2i−2i2i
χ202222222-2-2-2-2-2-2-2-22220000-2-2-2-22222000000-2-2-2-22222-2-20000000000000000000000000000000000000000−2i2i2i−2i
χ21222222-122222222-1-1-12222-1-1-1-122-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000
χ22222222-122222222-1-1-12222-1-1-1-122-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000000000
χ23222222-122222222-1-1-1-2-2-2-2-1-1-1-122-1-1-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1111111111111111122-2-2-1-1-1-111110000000000000000
χ24222222-122222222-1-1-1-2-2-2-2-1-1-1-122-1-1-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-11111111111111111-2-2221111-1-1-1-10000000000000000
χ25222222-1-2-2-2-22222-1-1-12222-1-1-1-1-2-2-1-1-2-2-2-22211111111-1-1-1-1-1-1-1-1-1-1111111112-22-2-1-111-1-1110000000000000000
χ26222222-1-2-2-2-22222-1-1-12222-1-1-1-1-2-2-1-1-2-2-2-22211111111-1-1-1-1-1-1-1-1-1-111111111-22-2211-1-111-1-10000000000000000
χ27222222-1-2-2-2-22222-1-1-1-2-2-2-2-1-1-1-1-2-2-1-12222-2-211111111-1-111111111-1-1-1-1-1-1-1-12-2-22-1-11111-1-10000000000000000
χ28222222-1-2-2-2-22222-1-1-1-2-2-2-2-1-1-1-1-2-2-1-12222-2-211111111-1-111111111-1-1-1-1-1-1-1-1-222-211-1-1-1-1110000000000000000
χ292222-2-2222-2-22-2-222222222-2-2-2-22-2-2-222-2-2-2-222-2-222-2-2222222-2-2-2-22222-2-2-2-20000000000000000000000000000
χ302222-2-2222-2-22-2-22222-2-2-2-2-2-2-2-22-2-2-2-2-2222222-2-222-2-222-2-2-2-22222-2-2-2-222220000000000000000000000000000
χ312222-2-2222-2-2-222-222200002222-22-2-200000022-2-2-2-222-2-20000000000000000000000000000220000-2-200000000
χ322222-2-2222-2-2-222-222200002222-22-2-200000022-2-2-2-222-2-20000000000000000000000000000-2-200002200000000
χ332222-2-22-2-2222-2-222222222-2-2-2-2-22-2-2-2-222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-222220000000000000000000000000000
χ342222-2-22-2-2222-2-22222-2-2-2-2-2-2-2-2-22-2-222-2-222-2-222-2-22222-2-2-2-222222222-2-2-2-20000000000000000000000000000
χ352222-2-22-2-222-222-2222000022222-2-2-2000000-2-22222-2-2-2-200000000000000000000000000002-20000-2200000000
χ362222-2-22-2-222-222-2222000022222-2-2-2000000-2-22222-2-2-2-20000000000000000000000000000-2200002-200000000
χ372222-2-2-122-2-22-2-22-1-1-1222211112-21122-2-2-2-2-1-111-1-111-1-1-1-1-1-11111-1-1-1-1111100003−33−33−33−30000000000000000
χ382222-2-2-122-2-22-2-22-1-1-1222211112-21122-2-2-2-2-1-111-1-111-1-1-1-1-1-11111-1-1-1-111110000−33−33−33−330000000000000000
χ392222-2-2-122-2-22-2-22-1-1-1-2-2-2-211112-211-2-22222-1-111-1-111-1-11111-1-1-1-11111-1-1-1-100003−33−3−33−330000000000000000
χ402222-2-2-122-2-22-2-22-1-1-1-2-2-2-211112-211-2-22222-1-111-1-111-1-11111-1-1-1-11111-1-1-1-10000−33−333−33−30000000000000000
χ412222-2-2-1-2-2222-2-22-1-1-122221111-2211-2-222-2-211-1-111-1-1-1-1-1-1-1-111111111-1-1-1-100003−3−333−3−330000000000000000
χ422222-2-2-1-2-2222-2-22-1-1-122221111-2211-2-222-2-211-1-111-1-1-1-1-1-1-1-111111111-1-1-1-10000−333−3−333−30000000000000000
χ432222-2-2-1-2-2222-2-22-1-1-1-2-2-2-21111-221122-2-22211-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111100003−3−33−333−30000000000000000
χ442222-2-2-1-2-2222-2-22-1-1-1-2-2-2-21111-221122-2-22211-1-111-1-1-1-11111-1-1-1-1-1-1-1-111110000−333−33−3−330000000000000000
χ452-2-222-22000022-2-22-2-22i2i−2i−2i22-2-2002-200002i−2i000000002-22i2i−2i−2i2i2i−2i−2i0000000000000000000000002i−2i002-2000000
χ462-2-222-22000022-2-22-2-22i2i−2i−2i22-2-2002-200002i−2i000000002-22i2i−2i−2i2i2i−2i−2i000000000000000000000000−2i2i00-22000000
χ472-2-222-22000022-2-22-2-2−2i−2i2i2i22-2-2002-20000−2i2i000000002-2−2i−2i2i2i−2i−2i2i2i0000000000000000000000002i−2i00-22000000
χ482-2-222-22000022-2-22-2-2−2i−2i2i2i22-2-2002-20000−2i2i000000002-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000−2i2i002-2000000
χ492-2-22-22200002-22-22-2-22i2i−2i−2i-2-22200-220000−2i2i000000002-22i2i−2i−2i−2i−2i2i2i00000000000000000000002i−2i0000002-20000
χ502-2-22-22200002-22-22-2-22i2i−2i−2i-2-22200-220000−2i2i000000002-22i2i−2i−2i−2i−2i2i2i0000000000000000000000−2i2i000000-220000
χ512-2-22-22200002-22-22-2-2−2i−2i2i2i-2-22200-2200002i−2i000000002-2−2i−2i2i2i2i2i−2i−2i00000000000000000000002i−2i000000-220000
χ522-2-22-22200002-22-22-2-2−2i−2i2i2i-2-22200-2200002i−2i000000002-2−2i−2i2i2i2i2i−2i−2i0000000000000000000000−2i2i0000002-20000
χ53444444-24444-4-4-4-4-2-2-200002222-4-4-2-2000000-2-2-2-222222200000000000000000000000000000000000000000000
χ54444444-2-4-4-4-4-4-4-4-4-2-2-20000222244-2-20000002222-2-2-2-22200000000000000000000000000000000000000000000
χ554444-4-4-244-4-4-444-4-2-2-20000-2-2-2-2-4422000000-2-22222-2-22200000000000000000000000000000000000000000000
χ564444-4-4-2-4-444-444-4-2-2-20000-2-2-2-24-42200000022-2-2-2-2222200000000000000000000000000000000000000000000
χ5744-4-40044-4000000-44-422−2222−220000000022−2200004-40000000022−2222−2200002222−22−2200000000000000000000000000000000
χ5844-4-40044-4000000-44-4−2222−222200000000−222200004-400000000−2222−22220000−22−22222200000000000000000000000000000000
χ5944-4-4004-44000000-44-422−2222−2200000000−22220000-440000000022−2222−220000−22−22222200000000000000000000000000000000
χ6044-4-4004-44000000-44-4−2222−22220000000022−220000-4400000000−2222−222200002222−22−2200000000000000000000000000000000
χ6144-4-400-24-40000002-2222−2222−2223−2323−23000022−220000-22000023−2300−22−226−66−6−2−22266−6−60000000000000000000000000000
χ6244-4-400-24-40000002-2222−2222−22−2323−2323000022−220000-220000−232300−22−22−66−66−2−222−6−6660000000000000000000000000000
χ6344-4-400-24-40000002-22−2222−222223−2323−230000−22220000-22000023−23002−22−2−66−6622−2−2−6−6660000000000000000000000000000
χ6444-4-400-24-40000002-22−2222−2222−2323−23230000−22220000-220000−2323002−22−26−66−622−2−266−6−60000000000000000000000000000
χ6544-4-400-2-440000002-2222−2222−2223−2323−230000−222200002-20000−232300−22−226−66−622−2−2−6−6660000000000000000000000000000
χ6644-4-400-2-440000002-2222−2222−22−2323−23230000−222200002-2000023−2300−22−22−66−6622−2−266−6−60000000000000000000000000000
χ6744-4-400-2-440000002-22−2222−222223−2323−23000022−2200002-20000−2323002−22−2−66−66−2−22266−6−60000000000000000000000000000
χ6844-4-400-2-440000002-22−2222−2222−2323−2323000022−2200002-2000023−23002−22−26−66−6−2−222−6−6660000000000000000000000000000
χ694-44-4004004i−4i0000-4-44−2i22i22i2−2i2000000000022−2200004i−4i000000−2i22i22i2−2i20000000022−2222−220000000000000000000000000000
χ704-44-4004004i−4i0000-4-442i2−2i2−2i22i20000000000−222200004i−4i0000002i2−2i2−2i22i200000000−2222−22220000000000000000000000000000
χ714-44-400400−4i4i0000-4-44−2i22i22i2−2i20000000000−22220000−4i4i000000−2i22i22i2−2i200000000−2222−22220000000000000000000000000000
χ724-44-400400−4i4i0000-4-442i2−2i2−2i22i2000000000022−220000−4i4i0000002i2−2i2−2i22i20000000022−2222−220000000000000000000000000000
χ734-44-400-2004i−4i000022-2−2i22i22i2−2i223−23−232300000022−220000−2i2i−2i32i30000i2−i2−i2i2−i6i6i6−i66−66−6−22−220000000000000000000000000000
χ744-44-400-2004i−4i000022-2−2i22i22i2−2i2−232323−2300000022−220000−2i2i2i3−2i30000i2−i2−i2i2i6−i6−i6i6−66−66−22−220000000000000000000000000000
χ754-44-400-2004i−4i000022-22i2−2i2−2i22i223−23−2323000000−22220000−2i2i−2i32i30000−i2i2i2−i2i6−i6−i6i6−66−662−22−20000000000000000000000000000
χ764-44-400-2004i−4i000022-22i2−2i2−2i22i2−232323−23000000−22220000−2i2i2i3−2i30000−i2i2i2−i2−i6i6i6−i66−66−62−22−20000000000000000000000000000
χ774-44-400-200−4i4i000022-2−2i22i22i2−2i223−23−2323000000−222200002i−2i2i3−2i30000i2−i2−i2i2−i6i6i6−i6−66−662−22−20000000000000000000000000000
χ784-44-400-200−4i4i000022-2−2i22i22i2−2i2−232323−23000000−222200002i−2i−2i32i30000i2−i2−i2i2i6−i6−i6i66−66−62−22−20000000000000000000000000000
χ794-44-400-200−4i4i000022-22i2−2i2−2i22i223−23−232300000022−2200002i−2i2i3−2i30000−i2i2i2−i2i6−i6−i6i66−66−6−22−220000000000000000000000000000
χ804-44-400-200−4i4i000022-22i2−2i2−2i22i2−232323−2300000022−2200002i−2i−2i32i30000−i2i2i2−i2−i6i6i6−i6−66−66−22−220000000000000000000000000000
χ814-4-444-440000-4-4444-4-40000-4-444004-400000000000000-4400000000000000000000000000000000000000000000
χ824-4-444-4-2000044-4-4-2224i4i−4i−4i-2-22200-2200004i−4i00000000-22−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000
χ834-4-444-4-2000044-4-4-222−4i−4i4i4i-2-22200-220000−4i4i00000000-222i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000
χ844-4-444-4-20000-4-444-222000022-2-200-22000000000000002-20000000023−23−232323−23−23230000000000000000000000000000
χ854-4-444-4-20000-4-444-222000022-2-200-22000000000000002-200000000−232323−23−232323−230000000000000000000000000000
χ864-4-44-4440000-44-444-4-4000044-4-400-4400000000000000-4400000000000000000000000000000000000000000000
χ874-4-44-44-200004-44-4-2224i4i−4i−4i22-2-2002-20000−4i4i00000000-22−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000
χ884-4-44-44-200004-44-4-222−4i−4i4i4i22-2-2002-200004i−4i00000000-222i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000
χ894-4-44-44-20000-44-44-2220000-2-222002-2000000000000002-20000000023−23−2323−232323−230000000000000000000000000000
χ904-4-44-44-20000-44-44-2220000-2-222002-2000000000000002-200000000−232323−2323−23−23230000000000000000000000000000

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