Finite Group Databasebeta

← Group #11781953

Character table — Group #11781953

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size1111222222222222222222224444444444444444488888888888888888888888888888888888888881616161616161616163636363672727272144
order122233334444666666666666412121212121212121212121212121212448812121212121212121212121212121212121212122424242424242424242424242424242441212121212121212888888884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1
χ41111111111111111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11
χ511111111111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1
χ611111111111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ711111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-11
χ811111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1
χ9222222222-22-2222222222222-2-2-2-2-2-2-2-2-2222222222-200-2-2-2-222222222-2-2-2-2-2-2-2-20000000000000000000000000000000000
χ10222222222-22-2222222222222-2-2-2-2-2-2-2-2-222222222-2200-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000
χ1122222222-22-22222222222222-222222222-2-2-2-2-2-2-2-20000-2-2-2-20000000000000000000000000000000000000000022-2-200000
χ1222222222-22-22222222222222-222222222-2-2-2-2-2-2-2-20000-2-2-2-200000000000000000000000000000000000000000-2-22200000
χ1322222222-2-2-2-22222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200002222000000000000000000000000000000000000000000000002i−2i0
χ1422222222-2-2-2-22222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000222200000000000000000000000000000000000000000000000−2i2i0
χ1522222-1-1-122222-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-12-1-1-122222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1000000000
χ1622222-1-1-122222-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-12-1-1-122-2-22-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2111111000000000
χ1722222-1-1-122222-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-12-1-1-1-2-2222-1-1-1-2-2111111-2-21111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2111111000000000
χ1822222-1-1-122222-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-12-1-1-1-2-2-2-22-1-1-1-2-2111111-2-2111111-2-2-2-2111111111111222-1-1-1-1-1-1000000000
χ1922222-1-1-12-22-22-1-1-12-1-1-12-1-1-1-2-2-21111112-1-1-12-1-1-12-200-211122-1-1-1-1-1-1-2-21111110000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3000−i3−i3−i3i3i3i3000000000
χ2022222-1-1-12-22-22-1-1-12-1-1-12-1-1-1-2-2-21111112-1-1-12-1-1-12-200-211122-1-1-1-1-1-1-2-21111110000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3000i3i3i3−i3−i3−i3000000000
χ2122222-1-1-12-22-22-1-1-12-1-1-12-1-1-1-2-2-21111112-1-1-12-1-1-1-2200-2111-2-211111122-1-1-1-1-1-10000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3000i3i3i3−i3−i3−i3000000000
χ2222222-1-1-12-22-22-1-1-12-1-1-12-1-1-1-2-2-21111112-1-1-12-1-1-1-2200-2111-2-211111122-1-1-1-1-1-10000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3000−i3−i3−i3i3i3i3000000000
χ232222-12-1-12222-12-1-1-12-1-1-12-1-12-1-122-1-1-1-1-12-1-1-12-1-12222-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-12-1-12-1-12-1-1000000000
χ242222-12-1-12222-12-1-1-12-1-1-12-1-12-1-122-1-1-1-1-12-1-1-12-1-122-2-2-12-1-1-1-122-1-1-1-1-1-122-1-1-1-11111-2-21111-2-21111-211-211-211000000000
χ252222-12-1-12222-12-1-1-12-1-1-12-1-12-1-122-1-1-1-1-12-1-1-12-1-1-2-222-12-1-111-2-2111111-2-21111-1-1-1-122-1-1-1-122-1-1-1-1-211-211-211000000000
χ262222-12-1-12222-12-1-1-12-1-1-12-1-12-1-122-1-1-1-1-12-1-1-12-1-1-2-2-2-2-12-1-111-2-2111111-2-211111111-2-21111-2-211112-1-12-1-12-1-1000000000
χ272222-12-1-12-22-2-12-1-1-12-1-1-12-1-1-211-2-21111-12-1-1-12-1-12-2001-211-1-122-1-1-1-111-2-21111−i3−i3i3i300−i3−i3i3i300−i3−i3i3i30−i3i30−i3i30−i3i3000000000
χ282222-12-1-12-22-2-12-1-1-12-1-1-12-1-1-211-2-21111-12-1-1-12-1-12-2001-211-1-122-1-1-1-111-2-21111i3i3−i3−i300i3i3−i3−i300i3i3−i3−i30i3−i30i3−i30i3−i3000000000
χ292222-12-1-12-22-2-12-1-1-12-1-1-12-1-1-211-2-21111-12-1-1-12-1-1-22001-21111-2-21111-1-122-1-1-1-1−i3−i3i3i300−i3−i3i3i300−i3−i3i3i30i3−i30i3−i30i3−i3000000000
χ302222-12-1-12-22-2-12-1-1-12-1-1-12-1-1-211-2-21111-12-1-1-12-1-1-22001-21111-2-21111-1-122-1-1-1-1i3i3−i3−i300i3i3−i3−i300i3i3−i3−i30−i3i30−i3i30−i3i3000000000
χ312222-1-12-12222-1-12-1-1-12-1-1-12-12-1-1-1-122-1-1-1-12-1-1-12-12222-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1222-1-1-12-1-1-12000000000
χ322222-1-12-12222-1-12-1-1-12-1-1-12-12-1-1-1-122-1-1-1-12-1-1-12-122-2-2-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1111111-2-2111111-2-2-2111-2111-2000000000
χ332222-1-12-12222-1-12-1-1-12-1-1-12-12-1-1-1-122-1-1-1-12-1-1-12-1-2-222-1-12-11111-2-2111111-2-211-1-1-1-1-1-122-1-1-1-1-1-122-2111-2111-2000000000
χ342222-1-12-12222-1-12-1-1-12-1-1-12-12-1-1-1-122-1-1-1-12-1-1-12-1-2-2-2-2-1-12-11111-2-2111111-2-211111111-2-2111111-2-22-1-1-12-1-1-12000000000
χ352222-1-12-12-22-2-1-12-1-1-12-1-1-12-1-21111-2-211-1-12-1-1-12-12-20011-21-1-1-1-122-1-11111-2-211−i3−i3i3i3i3i300−i3−i3−i3−i3i3i3000−i3i3i30−i3−i3i30000000000
χ362222-1-12-12-22-2-1-12-1-1-12-1-1-12-1-21111-2-211-1-12-1-1-12-12-20011-21-1-1-1-122-1-11111-2-211i3i3−i3−i3−i3−i300i3i3i3i3−i3−i3000i3−i3−i30i3i3−i30000000000
χ372222-1-12-12-22-2-1-12-1-1-12-1-1-12-1-21111-2-211-1-12-1-1-12-1-220011-211111-2-211-1-1-1-122-1-1−i3−i3i3i3i3i300−i3−i3−i3−i3i3i3000i3−i3−i30i3i3−i30000000000
χ382222-1-12-12-22-2-1-12-1-1-12-1-1-12-1-21111-2-211-1-12-1-1-12-1-220011-211111-2-211-1-1-1-122-1-1i3i3−i3−i3−i3−i300i3i3i3i3−i3−i3000−i3i3i30−i3−i3i30000000000
χ392222-1-1-122222-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-12-1-1-122222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-122-1-12-1-1-1-12-12-1000000000
χ402222-1-1-122222-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-12-1-1-1222-2-2-1-1-12-1-1-1-1-1-122-1-1-1-1-1-12211111111-2-211-2-211-21111-21-21000000000
χ412222-1-1-122222-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-12-1-1-12-2-222-1-1-12111111-2-2111111-2-2-1-1-1-1-1-1-1-122-1-122-1-1-21111-21-21000000000
χ422222-1-1-122222-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-12-1-1-12-2-2-2-2-1-1-12111111-2-2111111-2-211111111-2-211-2-2112-1-1-1-12-12-1000000000
χ432222-1-1-122-22-2-1-1-12-1-1-12-1-1-12-2111111-2-2-1-1-12-1-1-122-200111-2-1-1-1-1-1-122111111-2-2−i3−i3i3i3−i3−i3i3i300i3i300−i3−i30−i3i3−i3i30i30−i3000000000
χ442222-1-1-122-22-2-1-1-12-1-1-12-1-1-12-2111111-2-2-1-1-12-1-1-122-200111-2-1-1-1-1-1-122111111-2-2i3i3−i3−i3i3i3−i3−i300−i3−i300i3i30i3−i3i3−i30−i30i3000000000
χ452222-1-1-122-22-2-1-1-12-1-1-12-1-1-12-2111111-2-2-1-1-12-1-1-12-2200111-2111111-2-2-1-1-1-1-1-122−i3−i3i3i3−i3−i3i3i300i3i300−i3−i30i3−i3i3−i30−i30i3000000000
χ462222-1-1-122-22-2-1-1-12-1-1-12-1-1-12-2111111-2-2-1-1-12-1-1-12-2200111-2111111-2-2-1-1-1-1-1-122i3i3−i3−i3i3i3−i3−i300−i3−i300i3i30−i3i3−i3i30i30−i3000000000
χ4722-2-22222020-22222-2-2-2-2-2-2-2-202-22-22-22-200000000002−2000000000000000000002−22−22−22−22−22−22−22−20000000002-2002−2000
χ4822-2-22222020-22222-2-2-2-2-2-2-2-202-22-22-22-200000000002−2000000000000000000002−22−22−22−22−22−22−22−2000000000-2200−22000
χ4922-2-22222020-22222-2-2-2-2-2-2-2-202-22-22-22-20000000000−2200000000000000000000−22−22−22−22−22−22−22−220000000002-200−22000
χ5022-2-22222020-22222-2-2-2-2-2-2-2-202-22-22-22-20000000000−2200000000000000000000−22−22−22−22−22−22−22−22000000000-22002−2000
χ5144444-2-2-2-44-444-2-2-24-2-2-24-2-2-2-444-2-2-2-2-2-2-4222-42220000-422200000000000000000000000000000000000000000000000000
χ5244444-2-2-2-4-4-4-44-2-2-24-2-2-24-2-2-24-4-4222222-4222-422200004-2-2-200000000000000000000000000000000000000000000000000
χ534444-24-2-2-44-44-24-2-2-24-2-2-24-2-2-4-2-244-2-2-2-22-4222-42200002-42200000000000000000000000000000000000000000000000000
χ544444-24-2-2-4-4-4-4-24-2-2-24-2-2-24-2-2422-4-422222-4222-4220000-24-2-200000000000000000000000000000000000000000000000000
χ554444-2-24-2-44-44-2-24-2-2-24-2-2-24-2-4-2-2-2-244-2-222-4222-42000022-4200000000000000000000000000000000000000000000000000
χ564444-2-24-2-4-4-4-4-2-24-2-2-24-2-2-24-242222-4-42222-4222-420000-2-24-200000000000000000000000000000000000000000000000000
χ574444-2-2-24-44-44-2-2-24-2-2-24-2-2-24-4-2-2-2-2-2-244222-4222-40000222-400000000000000000000000000000000000000000000000000
χ584444-2-2-24-4-4-4-4-2-2-24-2-2-24-2-2-244222222-4-4222-4222-40000-2-2-2400000000000000000000000000000000000000000000000000
χ5944-4-444440-4044444-4-4-4-4-4-4-4-40-44-44-44-44000000000000000000000000000000000000000000000000000000000000000000
χ6044-4-44-2-2-2040-44-2-2-2-4222-422204-4-22-22-22000000000022−220000000000000000000022−2222−22−22−22−22−22−22−22000000000000000000
χ6144-4-44-2-2-2040-44-2-2-2-4222-422204-4-22-22-220000000000−222200000000000000000000−2222−22222−22−22−22−22−22−2000000000000000000
χ6244-4-44-2-2-20-4044-2-2-2-4222-42220-442-22-22-2000000000000000000000000000000000000i6−i6i6−i6i6−i6−i6i6−i6i6−i6i6000000000000000000
χ6344-4-44-2-2-20-4044-2-2-2-4222-42220-442-22-22-2000000000000000000000000000000000000−i6i6−i6i6−i6i6i6−i6i6−i6i6−i6000000000000000000
χ6444-4-4-24-2-2040-4-24-2-22-4222-4220-224-4-22-22000000000022−2200000000000000000000−22−2222−22−22−2222−22−22−22000000000000000000
χ6544-4-4-24-2-2040-4-24-2-22-4222-4220-224-4-22-220000000000−2222000000000000000000002−22−2−22222−22−2−22222−22−2000000000000000000
χ6644-4-4-24-2-20-404-24-2-22-4222-42202-2-442-22-200000000000000000000000000000000i6−i6−i6i600i6−i6−i6i600i6−i6−i6i6000000000000000000
χ6744-4-4-24-2-20-404-24-2-22-4222-42202-2-442-22-200000000000000000000000000000000−i6i6i6−i600−i6i6i6−i600−i6i6i6−i6000000000000000000
χ6844-4-4-2-24-2040-4-2-24-222-4222-420-22-224-4-22000000000022−2200000000000000000000−22−22−2222−22−22−22−2222−22000000000000000000
χ6944-4-4-2-24-2040-4-2-24-222-4222-420-22-224-4-220000000000−2222000000000000000000002−22−22−2−22222−22−22−2−2222000000000000000000
χ7044-4-4-2-24-20-404-2-24-222-4222-4202-22-2-442-200000000000000000000000000000000i6−i6−i6i6−i6i600i6−i6i6−i6−i6i600000000000000000000
χ7144-4-4-2-24-20-404-2-24-222-4222-4202-22-2-442-200000000000000000000000000000000−i6i6i6−i6i6−i600−i6i6−i6i6i6−i600000000000000000000
χ7244-4-4-2-2-24040-4-2-2-24222-4222-40-22-22-224-4000000000022−2200000000000000000000−22−22−22−2222−22−2222−22−22000000000000000000
χ7344-4-4-2-2-24040-4-2-2-24222-4222-40-22-22-224-40000000000−2222000000000000000000002−22−22−22−2−22222−2−22222−2000000000000000000
χ7444-4-4-2-2-240-404-2-2-24222-4222-402-22-22-2-4400000000000000000000000000000000i6−i6−i6i6i6−i6−i6i600−i6i600i6−i6000000000000000000
χ7544-4-4-2-2-240-404-2-2-24222-4222-402-22-22-2-4400000000000000000000000000000000−i6i6i6−i6−i6i6i6−i600i6−i600−i6i6000000000000000000
χ764-44-444440000-4-4-4-44444-4-4-4-40000000000000000000000000000000000000000000000000000000000000000000022−2200000
χ774-44-444440000-4-4-4-44444-4-4-4-400000000000000000000000000000000000000000000000000000000000000000000−222200000
χ784-4-44444440-40-4-4-4-4-4-4-4-44444000000000-4-4-4-444440000000000000000000000000000000000000000000000000000000000
χ794-4-444444-4040-4-4-4-4-4-4-4-444440000000004444-4-4-4-40000000000000000000000000000000000000000000000000000000000
χ804-4-444-2-2-240-40-4222-42224-2-2-2000000000-42224-2-2-2000000000000000000−2i32i3−2i32i3−2i32i30000000000000000000000000000000000
χ814-4-444-2-2-240-40-4222-42224-2-2-2000000000-42224-2-2-20000000000000000002i3−2i32i3−2i32i3−2i30000000000000000000000000000000000
χ824-4-444-2-2-2-4040-4222-42224-2-2-20000000004-2-2-2-4222000000000023−2323−2323−23000000000000000000000000000000000000000000
χ834-4-444-2-2-2-4040-4222-42224-2-2-20000000004-2-2-2-42220000000000−2323−2323−2323000000000000000000000000000000000000000000
χ844-4-44-24-2-240-402-4222-422-24-2-20000000002-422-24-2-20000000000000000−2i32i300−2i32i32i3−2i30000000000000000000000000000000000
χ854-4-44-24-2-240-402-4222-422-24-2-20000000002-422-24-2-200000000000000002i3−2i3002i3−2i3−2i32i30000000000000000000000000000000000
χ864-4-44-24-2-2-40402-4222-422-24-2-2000000000-24-2-22-4220000000023−230023−23−2323000000000000000000000000000000000000000000
χ874-4-44-24-2-2-40402-4222-422-24-2-2000000000-24-2-22-42200000000−232300−232323−23000000000000000000000000000000000000000000
χ884-4-44-2-24-240-4022-4222-42-2-24-200000000022-42-2-24-20000000000000000−2i32i32i3−2i300−2i32i30000000000000000000000000000000000
χ894-4-44-2-24-240-4022-4222-42-2-24-200000000022-42-2-24-200000000000000002i3−2i3−2i32i3002i3−2i30000000000000000000000000000000000
χ904-4-44-2-24-2-404022-4222-42-2-24-2000000000-2-24-222-420000000023−23−23230023−23000000000000000000000000000000000000000000
χ914-4-44-2-24-2-404022-4222-42-2-24-2000000000-2-24-222-4200000000−232323−2300−2323000000000000000000000000000000000000000000
χ924-4-44-2-2-2440-40222-4222-4-2-2-24000000000222-4-2-2-240000000000000000−2i32i3−2i32i32i3−2i3000000000000000000000000000000000000
χ934-4-44-2-2-2440-40222-4222-4-2-2-24000000000222-4-2-2-2400000000000000002i3−2i32i3−2i3−2i32i3000000000000000000000000000000000000
χ944-4-44-2-2-24-4040222-4222-4-2-2-24000000000-2-2-24222-40000000023−2323−23−232300000000000000000000000000000000000000000000
χ954-4-44-2-2-24-4040222-4222-4-2-2-24000000000-2-2-24222-400000000−2323−232323−2300000000000000000000000000000000000000000000
χ968-88-88-4-4-40000-84448-4-4-4-8444000000000000000000000000000000000000000000000000000000000000000000000000000
χ978-88-8-48-4-400004-844-48-4-44-844000000000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-8-4-48-4000044-84-4-48-444-84000000000000000000000000000000000000000000000000000000000000000000000000000
χ998-88-8-4-4-480000444-8-4-4-48444-8000000000000000000000000000000000000000000000000000000000000000000000000000

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