Finite Group Databasebeta

← Group #11878551

Character table — Group #11878551

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222444444444444444444448888888888888888888888888888888888888888816161616161616163636363636367272727272
order122233334466666666666624881212121212121212121212121212121224446666666666668121212121212121224242424242424242424242424242424121212121212121222448824448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11
χ4111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1
χ5111111111111111111111111-1-111111111111111111-11-1111111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1
χ6111111111111111111111111-1-111111111111111111-11-1111111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11
χ7111111111111111111111111-1-11111111111111111-11-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1
χ8111111111111111111111111-1-11111111111111111-11-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1111
χ91111111111111111111111-1-111-1-1-1-1-1-1-1-1111111111-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111-11-111-111-1-1
χ101111111111111111111111-1-111-1-1-1-1-1-1-1-1111111111-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-1-11-1-111
χ111111111111111111111111-1-111-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11-11-1111-1-11-1
χ121111111111111111111111-1-111-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-1-111-11
χ131111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11-11-1-1-11-11-11
χ141111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11-1111-11-11-1
χ151111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111-11-1-1-1-11-111
χ161111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-11-11111-11-1-1
χ1722222222-2-22222222222222-200-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200002222000000000000000000000000000000000000000002-2-220000000
χ1822222222-2-22222222222222-200-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000222200000000000000000000000000000000000000000-222-20000000
χ1922222222-2-2222222222222-220022222222-2-2-2-2-2-2-2-20000-2-2-2-20000000000000000000000000000000000000000022-2-20000000
χ2022222222-2-2222222222222-220022222222-2-2-2-2-2-2-2-20000-2-2-2-200000000000000000000000000000000000000000-2-2220000000
χ2122222-1-1-1222-1-1-12-1-1-12-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-122222-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-100000000000
χ2222222-1-1-1222-1-1-12-1-1-12-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-22-1-1-1-2-21111112-2-211111122-1-1-1-1-1-122-1-1-1-1-1-1-2111-211100000000000
χ2322222-1-1-1222-1-1-12-1-1-12-1-1-122-2-222-1-1-1-1-1-122-1-1-1-1-1-12-22-22-1-1-122-1-1-1-1-1-1-222-1-1-1-1-1-1-2-2111111-2-2111111-2111-211100000000000
χ2422222-1-1-1222-1-1-12-1-1-12-1-1-122-2-222-1-1-1-1-1-122-1-1-1-1-1-1-22-222-1-1-1-2-2111111-2-2-2111111-2-2111111-2-21111112-1-1-12-1-1-100000000000
χ2522222-1-1-1222-1-1-12-1-1-12-1-1-1-2-222-2-211111122-1-1-1-1-1-12-2-22-211122-1-1-1-1-1-1-2-2-211111122-1-1-1-1-1-1-2-2111111-21112-1-1-100000000000
χ2622222-1-1-1222-1-1-12-1-1-12-1-1-1-2-222-2-211111122-1-1-1-1-1-1-222-2-2111-2-2111111-222-1-1-1-1-1-122-1-1-1-1-1-1-2-21111112-1-1-1-211100000000000
χ2722222-1-1-1222-1-1-12-1-1-12-1-1-1-2-2-2-2-2-211111122-1-1-1-1-1-122-2-2-211122-1-1-1-1-1-12-2-2111111-2-211111122-1-1-1-1-1-12-1-1-1-211100000000000
χ2822222-1-1-1222-1-1-12-1-1-12-1-1-1-2-2-2-2-2-211111122-1-1-1-1-1-1-2-222-2111-2-2111111222-1-1-1-1-1-1-2-211111122-1-1-1-1-1-1-21112-1-1-100000000000
χ292222-12-1-122-12-1-1-12-1-1-12-1-12222-1-122-1-1-1-1-1-122-1-1-1-12222-12-1-1-1-122-1-1-1-12-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-100000000000
χ302222-12-1-122-12-1-1-12-1-1-12-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-2-2-2-2-12-1-111-2-21111211-2-21111-1-122-1-1-1-1-1-122-1-1-1-11-2111-21100000000000
χ312222-12-1-122-12-1-1-12-1-1-12-1-122-2-2-1-122-1-1-1-1-1-122-1-1-1-12-22-2-12-1-1-1-122-1-1-1-1-2-1-122-1-1-1-111-2-2111111-2-211111-2111-21100000000000
χ322222-12-1-122-12-1-1-12-1-1-12-1-122-2-2-1-122-1-1-1-1-1-122-1-1-1-1-22-22-12-1-111-2-21111-211-2-2111111-2-2111111-2-21111-12-1-1-12-1-100000000000
χ332222-12-1-122-12-1-1-12-1-1-12-1-1-2-22211-2-21111-1-122-1-1-1-12-2-221-211-1-122-1-1-1-1-211-2-21111-1-122-1-1-1-111-2-211111-211-12-1-100000000000
χ342222-12-1-122-12-1-1-12-1-1-12-1-1-2-22211-2-21111-1-122-1-1-1-1-222-21-21111-2-21111-2-1-122-1-1-1-1-1-122-1-1-1-111-2-21111-12-1-11-21100000000000
χ352222-12-1-122-12-1-1-12-1-1-12-1-1-2-2-2-211-2-21111-1-122-1-1-1-122-2-21-211-1-122-1-1-1-1211-2-2111111-2-21111-1-122-1-1-1-1-12-1-11-21100000000000
χ362222-12-1-122-12-1-1-12-1-1-12-1-1-2-2-2-211-2-21111-1-122-1-1-1-1-2-2221-21111-2-211112-1-122-1-1-1-111-2-21111-1-122-1-1-1-11-211-12-1-100000000000
χ372222-1-12-122-1-12-1-1-12-1-1-12-12222-1-1-1-122-1-1-1-1-1-122-1-12222-1-12-1-1-1-1-122-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-100000000000
χ382222-1-12-122-1-12-1-1-12-1-1-12-12222-1-1-1-122-1-1-1-1-1-122-1-1-2-2-2-2-1-12-11111-2-21121111-2-211-1-1-1-122-1-1-1-1-1-122-1-111-2111-2100000000000
χ392222-1-12-122-1-12-1-1-12-1-1-12-122-2-2-1-1-1-122-1-1-1-1-1-122-1-12-22-2-1-12-1-1-1-1-122-1-1-2-1-1-1-122-1-11111-2-2111111-2-21111-2111-2100000000000
χ402222-1-12-122-1-12-1-1-12-1-1-12-122-2-2-1-1-1-122-1-1-1-1-1-122-1-1-22-22-1-12-11111-2-211-21111-2-2111111-2-2111111-2-211-1-12-1-1-12-100000000000
χ412222-1-12-122-1-12-1-1-12-1-1-12-1-2-2221111-2-211-1-1-1-122-1-12-2-2211-21-1-1-1-122-1-1-21111-2-211-1-1-1-122-1-11111-2-21111-21-1-12-100000000000
χ422222-1-12-122-1-12-1-1-12-1-1-12-1-2-2221111-2-211-1-1-1-122-1-1-222-211-211111-2-211-2-1-1-1-122-1-1-1-1-1-122-1-11111-2-211-1-12-111-2100000000000
χ432222-1-12-122-1-12-1-1-12-1-1-12-1-2-2-2-21111-2-211-1-1-1-122-1-122-2-211-21-1-1-1-122-1-121111-2-2111111-2-211-1-1-1-122-1-1-1-12-111-2100000000000
χ442222-1-12-122-1-12-1-1-12-1-1-12-1-2-2-2-21111-2-211-1-1-1-122-1-1-2-22211-211111-2-2112-1-1-1-122-1-11111-2-211-1-1-1-122-1-111-21-1-12-100000000000
χ452222-1-1-1222-1-1-12-1-1-12-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-12-1-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-1200000000000
χ462222-1-1-1222-1-1-12-1-1-12-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-122-2-2-2-2-1-1-12111111-2-22111111-2-2-1-1-1-1-1-122-1-1-1-1-1-122111-2111-200000000000
χ472222-1-1-1222-1-1-12-1-1-12-1-1-1222-2-2-1-1-1-1-1-122-1-1-1-1-1-1222-22-2-1-1-12-1-1-1-1-1-122-2-1-1-1-1-1-122111111-2-2111111-2-2111-2111-200000000000
χ482222-1-1-1222-1-1-12-1-1-12-1-1-1222-2-2-1-1-1-1-1-122-1-1-1-1-1-122-22-22-1-1-12111111-2-2-2111111-2-2111111-2-2111111-2-2-1-1-12-1-1-1200000000000
χ492222-1-1-1222-1-1-12-1-1-12-1-1-12-2-222111111-2-2-1-1-1-1-1-1222-2-22111-2-1-1-1-1-1-122-2111111-2-2-1-1-1-1-1-122111111-2-2111-2-1-1-1200000000000
χ502222-1-1-1222-1-1-12-1-1-12-1-1-12-2-222111111-2-2-1-1-1-1-1-122-222-2111-2111111-2-2-2-1-1-1-1-1-122-1-1-1-1-1-122111111-2-2-1-1-12111-200000000000
χ512222-1-1-1222-1-1-12-1-1-12-1-1-12-2-2-2-2111111-2-2-1-1-1-1-1-12222-2-2111-2-1-1-1-1-1-1222111111-2-2111111-2-2-1-1-1-1-1-122-1-1-12111-200000000000
χ522222-1-1-1222-1-1-12-1-1-12-1-1-12-2-2-2-2111111-2-2-1-1-1-1-1-122-2-222111-2111111-2-22-1-1-1-1-1-122111111-2-2-1-1-1-1-1-122111-2-1-1-1200000000000
χ5344444-2-2-2-4-44-2-2-24-2-2-24-2-2-24-400-4-4222222-4-422222200004-2-2-20000000000000000000000000000000000000000000000000000
χ5444444-2-2-2-4-44-2-2-24-2-2-24-2-2-2-440044-2-2-2-2-2-2-4-42222220000-42220000000000000000000000000000000000000000000000000000
χ554444-24-2-2-4-4-24-2-2-24-2-2-24-2-24-40022-4-4222222-4-422220000-24-2-20000000000000000000000000000000000000000000000000000
χ564444-24-2-2-4-4-24-2-2-24-2-2-24-2-2-4400-2-244-2-2-2-222-4-4222200002-4220000000000000000000000000000000000000000000000000000
χ574444-2-24-2-4-4-2-24-2-2-24-2-2-24-24-4002222-4-4222222-4-4220000-2-24-20000000000000000000000000000000000000000000000000000
χ584444-2-24-2-4-4-2-24-2-2-24-2-2-24-2-4400-2-2-2-244-2-22222-4-422000022-420000000000000000000000000000000000000000000000000000
χ594444-2-2-24-4-4-2-2-24-2-2-24-2-2-244-400222222-4-4222222-4-40000-2-2-240000000000000000000000000000000000000000000000000000
χ604444-2-2-24-4-4-2-2-24-2-2-24-2-2-24-4400-2-2-2-2-2-244222222-4-40000222-40000000000000000000000000000000000000000000000000000
χ6144-4-4444400-4-4-4-44444-4-4-4-400−2i22i200000000000000000000000000000000000000000−2i22i2−2i22i2−2i22i2−2i22i2000000000000000000000000000
χ6244-4-4444400-4-4-4-44444-4-4-4-4002i2−2i2000000000000000000000000000000000000000002i2−2i22i2−2i22i2−2i22i2−2i2000000000000000000000000000
χ6344-4-44-2-2-200-42224-2-2-2-422200−2i22i20023−2323−2323−23000000000000000000000000000000000−2i22i2i2−i2i2−i2i2−i200i6−i6i6−i6i6−i60000000000000000000
χ6444-4-44-2-2-200-42224-2-2-2-422200−2i22i200−2323−2323−2323000000000000000000000000000000000−2i22i2i2−i2i2−i2i2−i200−i6i6−i6i6−i6i60000000000000000000
χ6544-4-44-2-2-200-42224-2-2-2-4222002i2−2i20023−2323−2323−230000000000000000000000000000000002i2−2i2−i2i2−i2i2−i2i200−i6i6−i6i6−i6i60000000000000000000
χ6644-4-44-2-2-200-42224-2-2-2-4222002i2−2i200−2323−2323−23230000000000000000000000000000000002i2−2i2−i2i2−i2i2−i2i200i6−i6i6−i6i6−i60000000000000000000
χ6744-4-4-24-2-2002-422-24-2-22-42200−2i22i223−230023−23−2323000000000000000000000000000000000i2−i2−2i22i2i2−i2i2−i2i6−i600i6−i6−i6i60000000000000000000
χ6844-4-4-24-2-2002-422-24-2-22-42200−2i22i2−232300−232323−23000000000000000000000000000000000i2−i2−2i22i2i2−i2i2−i2−i6i600−i6i6i6−i60000000000000000000
χ6944-4-4-24-2-2002-422-24-2-22-422002i2−2i223−230023−23−2323000000000000000000000000000000000−i2i22i2−2i2−i2i2−i2i2−i6i600−i6i6i6−i60000000000000000000
χ7044-4-4-24-2-2002-422-24-2-22-422002i2−2i2−232300−232323−23000000000000000000000000000000000−i2i22i2−2i2−i2i2−i2i2i6−i600i6−i6−i6i60000000000000000000
χ7144-4-4-2-24-20022-42-2-24-222-4200−2i22i223−23−23230023−23000000000000000000000000000000000i2−i2i2−i2−2i22i2i2−i2i6−i6−i6i600i6−i60000000000000000000
χ7244-4-4-2-24-20022-42-2-24-222-4200−2i22i2−232323−2300−2323000000000000000000000000000000000i2−i2i2−i2−2i22i2i2−i2−i6i6i6−i600−i6i60000000000000000000
χ7344-4-4-2-24-20022-42-2-24-222-42002i2−2i223−23−23230023−23000000000000000000000000000000000−i2i2−i2i22i2−2i2−i2i2−i6i6i6−i600−i6i60000000000000000000
χ7444-4-4-2-24-20022-42-2-24-222-42002i2−2i2−232323−2300−2323000000000000000000000000000000000−i2i2−i2i22i2−2i2−i2i2i6−i6−i6i600i6−i60000000000000000000
χ7544-4-4-2-2-2400222-4-2-2-24222-400−2i22i223−2323−23−232300000000000000000000000000000000000i2−i2i2−i2i2−i2−2i22i2i6−i6i6−i6−i6i6000000000000000000000
χ7644-4-4-2-2-2400222-4-2-2-24222-400−2i22i2−2323−232323−2300000000000000000000000000000000000i2−i2i2−i2i2−i2−2i22i2−i6i6−i6i6i6−i6000000000000000000000
χ7744-4-4-2-2-2400222-4-2-2-24222-4002i2−2i223−2323−23−232300000000000000000000000000000000000−i2i2−i2i2−i2i22i2−2i2−i6i6−i6i6i6−i6000000000000000000000
χ7844-4-4-2-2-2400222-4-2-2-24222-4002i2−2i2−2323−232323−2300000000000000000000000000000000000−i2i2−i2i2−i2i22i2−2i2i6−i6i6−i6−i6i6000000000000000000000
χ794-44-444444-4-4-4-4-4-4-4-4-444440000000000004-44-44-44-4000000000000000000000000000000000000000000000000000000000000
χ804-44-44444-44-4-4-4-4-4-4-4-44444000000000000-44-44-44-44000000000000000000000000000000000000000000000000000000000000
χ814-44-44-2-2-24-4-4222-42224-2-2-20000000000004-4-22-22-220000000000−2i32i3−2i32i3−2i32i300000000000000000000000000000000000000000000
χ824-44-44-2-2-24-4-4222-42224-2-2-20000000000004-4-22-22-2200000000002i3−2i32i3−2i32i3−2i300000000000000000000000000000000000000000000
χ834-44-44-2-2-2-44-4222-42224-2-2-2000000000000-442-22-22-20000000000000000000−2i32i3−2i32i3−2i32i300000000000000000000000000000000000
χ844-44-44-2-2-2-44-4222-42224-2-2-2000000000000-442-22-22-200000000000000000002i3−2i32i3−2i32i3−2i300000000000000000000000000000000000
χ854-44-4-24-2-24-42-4222-422-24-2-2000000000000-224-4-22-2200000000−2i32i300−2i32i32i3−2i300000000000000000000000000000000000000000000
χ864-44-4-24-2-24-42-4222-422-24-2-2000000000000-224-4-22-22000000002i3−2i3002i3−2i3−2i32i300000000000000000000000000000000000000000000
χ874-44-4-24-2-2-442-4222-422-24-2-20000000000002-2-442-22-200000000000000000−2i32i300−2i32i32i3−2i300000000000000000000000000000000000
χ884-44-4-24-2-2-442-4222-422-24-2-20000000000002-2-442-22-2000000000000000002i3−2i3002i3−2i3−2i32i300000000000000000000000000000000000
χ894-44-4-2-24-24-422-4222-42-2-24-2000000000000-22-224-4-2200000000−2i32i32i3−2i300−2i32i300000000000000000000000000000000000000000000
χ904-44-4-2-24-24-422-4222-42-2-24-2000000000000-22-224-4-22000000002i3−2i3−2i32i3002i3−2i300000000000000000000000000000000000000000000
χ914-44-4-2-24-2-4422-4222-42-2-24-20000000000002-22-2-442-200000000000000000−2i32i32i3−2i300−2i32i300000000000000000000000000000000000
χ924-44-4-2-24-2-4422-4222-42-2-24-20000000000002-22-2-442-2000000000000000002i3−2i3−2i32i3002i3−2i300000000000000000000000000000000000
χ934-44-4-2-2-244-4222-4222-4-2-2-24000000000000-22-22-224-400000000−2i32i3−2i32i32i3−2i30000000000000000000000000000000000000000000000
χ944-44-4-2-2-244-4222-4222-4-2-2-24000000000000-22-22-224-4000000002i3−2i32i3−2i3−2i32i30000000000000000000000000000000000000000000000
χ954-44-4-2-2-24-44222-4222-4-2-2-240000000000002-22-22-2-4400000000000000000−2i32i3−2i32i32i3−2i30000000000000000000000000000000000000
χ964-44-4-2-2-24-44222-4222-4-2-2-240000000000002-22-22-2-44000000000000000002i3−2i32i3−2i3−2i32i30000000000000000000000000000000000000
χ974-4-444444004444-4-4-4-4-4-4-4-40000000000000000000000000000000000000000000000000000000000000000000000000−2i22i200000
χ984-4-444444004444-4-4-4-4-4-4-4-400000000000000000000000000000000000000000000000000000000000000000000000002i2−2i200000
χ998-8-888-4-4-4008-4-4-4-8444-844400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-88-48-4-400-48-4-44-8444-84400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-48-400-4-48-444-8444-8400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-4-4800-4-4-48444-8444-800000000000000000000000000000000000000000000000000000000000000000000000000000000

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