Finite Group Databasebeta

← Group #11868913

Character table — Group #11868913

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11112222222222222222224444444444444444444444448888888888888888888888888888888888888881616161616161616181818183636363636363636727272
order1222333344666666666666224444881212121212121212121212121212121244666666668121212121212121212121212242424242424242424242424242424241212121212121212224422444488448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-11111111111111111-1-111111111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1
χ41111111111111111111111111111-1-11111111111111111-1-111111111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111-1-1
χ6111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-111
χ7111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111111-1-1
χ91111111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-111-11-1
χ101111111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-11-1-11-11
χ111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-111-1-1-11-11
χ121111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111-1-1111-11-1
χ131111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-11-1-1111-1-11
χ141111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-111-1
χ151111111111111111111111-1-1-1-111-1-1111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11-1-11-1-111-1
χ161111111111111111111111-1-1-1-111-1-1111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-111-111-1-11
χ1722222222-2-222222222222200002-200-2-2-2-222222222-2-2-2-200000000000-2-2-2-20000000000000000000000000000000022-2-200-200200000
χ1822222222-2-222222222222200002-200-2-2-2-222222222-2-2-2-200000000000-2-2-2-200000000000000000000000000000000-2-22200200-200000
χ1922222222-2-22222222222220000-2200-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000022220000000000000000000000000000000022-2-200200-200000
χ2022222222-2-22222222222220000-2200-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000222200000000000000000000000000000000-2-22200-200200000
χ2122222-1-1-12222-1-1-1-1-1-12-1-1-1222222222-1-1-122-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1000000000000000
χ2222222-1-1-12222-1-1-1-1-1-12-1-1-1222222-2-22-1-1-122-1-1-1-1-1-12-1-1-1-2-222-1-1-1-1-1-1-22-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111-2111-2111000000000000000
χ2322222-1-1-12222-1-1-1-1-1-12-1-1-122-2-2-2-2222-1-1-1-2-21111112-1-1-12-222-1-1-1-1-1-1-2-2111-2-211111122-1-1-1-1-1-1-2-21111112-1-1-1-2111000000000000000
χ2422222-1-1-12222-1-1-1-1-1-12-1-1-122-2-2-2-2-2-22-1-1-1-2-21111112-1-1-1-2222-1-1-1-1-1-12-2111-2-2111111-2-211111122-1-1-1-1-1-1-21112-1-1-1000000000000000
χ2522222-1-1-12222-1-1-1-1-1-12-1-1-1-2-222-2-2222-1-1-1-2-21111112-1-1-1-22-2-2111111-2-211122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-21112-1-1-1000000000000000
χ2622222-1-1-12222-1-1-1-1-1-12-1-1-1-2-222-2-2-2-22-1-1-1-2-21111112-1-1-12-2-2-21111112-211122-1-1-1-1-1-1-2-211111122-1-1-1-1-1-12-1-1-1-2111000000000000000
χ2722222-1-1-12222-1-1-1-1-1-12-1-1-1-2-2-2-222222-1-1-122-1-1-1-1-1-12-1-1-1-2-2-2-211111122-1-1-1-2-211111122-1-1-1-1-1-122-1-1-1-1-1-1-2111-2111000000000000000
χ2822222-1-1-12222-1-1-1-1-1-12-1-1-1-2-2-2-222-2-22-1-1-122-1-1-1-1-1-12-1-1-122-2-2111111-22-1-1-1-2-2111111-2-2111111-2-21111112-1-1-12-1-1-1000000000000000
χ292222-12-1-122-1-122-1-1-1-1-12-1-122222222-12-1-1-1-122-1-1-1-1-12-1-122-1-122-1-1-1-12-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1000000000000000
χ302222-12-1-122-1-122-1-1-1-1-12-1-1222222-2-2-12-1-1-1-122-1-1-1-1-12-1-1-2-2-1-122-1-1-1-1-2-12-1-1-1-122-1-1-1-111-2-2111111-2-211111-2111-211000000000000000
χ312222-12-1-122-1-122-1-1-1-1-12-1-122-2-2-2-222-12-1-111-2-21111-12-1-12-2-1-122-1-1-1-1-21-21111-2-21111-1-122-1-1-1-111-2-21111-12-1-11-211000000000000000
χ322222-12-1-122-1-122-1-1-1-1-12-1-122-2-2-2-2-2-2-12-1-111-2-21111-12-1-1-22-1-122-1-1-1-121-21111-2-2111111-2-21111-1-122-1-1-1-11-211-12-1-1000000000000000
χ332222-12-1-122-1-122-1-1-1-1-12-1-1-2-222-2-222-12-1-111-2-21111-12-1-1-2211-2-21111-21-211-1-122-1-1-1-1-1-122-1-1-1-111-2-211111-211-12-1-1000000000000000
χ342222-12-1-122-1-122-1-1-1-1-12-1-1-2-222-2-2-2-2-12-1-111-2-21111-12-1-12-211-2-2111121-211-1-122-1-1-1-111-2-21111-1-122-1-1-1-1-12-1-11-211000000000000000
χ352222-12-1-122-1-122-1-1-1-1-12-1-1-2-2-2-22222-12-1-1-1-122-1-1-1-1-12-1-1-2-211-2-211112-12-1-111-2-21111-1-122-1-1-1-1-1-122-1-1-1-11-2111-211000000000000000
χ362222-12-1-122-1-122-1-1-1-1-12-1-1-2-2-2-222-2-2-12-1-1-1-122-1-1-1-1-12-1-12211-2-21111-2-12-1-111-2-2111111-2-2111111-2-21111-12-1-1-12-1-1000000000000000
χ372222-1-12-122-1-1-1-122-1-1-1-12-122222222-1-12-1-1-1-1-122-1-1-1-12-122-1-1-1-122-1-12-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-1000000000000000
χ382222-1-12-122-1-1-1-122-1-1-1-12-1222222-2-2-1-12-1-1-1-1-122-1-1-1-12-1-2-2-1-1-1-122-1-1-2-1-12-1-1-1-1-122-1-11111-2-2111111-2-21111-2111-21000000000000000
χ392222-1-12-122-1-1-1-122-1-1-1-12-122-2-2-2-222-1-12-11111-2-211-1-12-12-2-1-1-1-122-1-1-211-211111-2-211-1-1-1-122-1-11111-2-211-1-12-111-21000000000000000
χ402222-1-12-122-1-1-1-122-1-1-1-12-122-2-2-2-2-2-2-1-12-11111-2-211-1-12-1-22-1-1-1-122-1-1211-211111-2-2111111-2-211-1-1-1-122-1-111-21-1-12-1000000000000000
χ412222-1-12-122-1-1-1-122-1-1-1-12-1-2-222-2-222-1-12-11111-2-211-1-12-1-221111-2-211-211-21-1-1-1-122-1-1-1-1-1-122-1-11111-2-21111-21-1-12-1000000000000000
χ422222-1-12-122-1-1-1-122-1-1-1-12-1-2-222-2-2-2-2-1-12-11111-2-211-1-12-12-21111-2-211211-21-1-1-1-122-1-11111-2-211-1-1-1-122-1-1-1-12-111-21000000000000000
χ432222-1-12-122-1-1-1-122-1-1-1-12-1-2-2-2-22222-1-12-1-1-1-1-122-1-1-1-12-1-2-21111-2-2112-1-12-11111-2-211-1-1-1-122-1-1-1-1-1-122-1-111-2111-21000000000000000
χ442222-1-12-122-1-1-1-122-1-1-1-12-1-2-2-2-222-2-2-1-12-1-1-1-1-122-1-1-1-12-1221111-2-211-2-1-12-11111-2-2111111-2-2111111-2-211-1-12-1-1-12-1000000000000000
χ452222-1-1-1222-1-1-1-1-1-122-1-1-1222222222-1-1-12-1-1-1-1-1-122-1-1-1222-1-1-1-1-1-1222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-12000000000000000
χ462222-1-1-1222-1-1-1-1-1-122-1-1-12222222-2-2-1-1-12-1-1-1-1-1-122-1-1-12-2-2-1-1-1-1-1-122-2-1-1-12-1-1-1-1-1-122111111-2-2111111-2-2111-2111-2000000000000000
χ472222-1-1-1222-1-1-1-1-1-122-1-1-1222-2-2-2-222-1-1-12111111-2-2-1-1-122-2-1-1-1-1-1-122-2111-2111111-2-2-1-1-1-1-1-122111111-2-2-1-1-12111-2000000000000000
χ482222-1-1-1222-1-1-1-1-1-122-1-1-1222-2-2-2-2-2-2-1-1-12111111-2-2-1-1-12-22-1-1-1-1-1-1222111-2111111-2-2111111-2-2-1-1-1-1-1-122111-2-1-1-12000000000000000
χ492222-1-1-1222-1-1-1-1-1-122-1-1-12-2-222-2-222-1-1-12111111-2-2-1-1-12-22111111-2-2-2111-2-1-1-1-1-1-122-1-1-1-1-1-122111111-2-2111-2-1-1-12000000000000000
χ502222-1-1-1222-1-1-1-1-1-122-1-1-12-2-222-2-2-2-2-1-1-12111111-2-2-1-1-122-2111111-2-22111-2-1-1-1-1-1-122111111-2-2-1-1-1-1-1-122-1-1-12111-2000000000000000
χ512222-1-1-1222-1-1-1-1-1-122-1-1-12-2-2-2-22222-1-1-12-1-1-1-1-1-122-1-1-12-2-2111111-2-22-1-1-12111111-2-2-1-1-1-1-1-122-1-1-1-1-1-122111-2111-2000000000000000
χ522222-1-1-1222-1-1-1-1-1-122-1-1-12-2-2-2-222-2-2-1-1-12-1-1-1-1-1-122-1-1-1222111111-2-2-2-1-1-12111111-2-2111111-2-2111111-2-2-1-1-12-1-1-12000000000000000
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χ894-44-44-2-2-200-4-42222224-2-2-2000000−2222000000−2i32i3−2i32i3−2i32i3000000000000000000000000000−22222−22−22−200−i6i6−i6i6−i6i600000000000000000000000
χ904-44-44-2-2-200-4-42222224-2-2-2000000−22220000002i3−2i32i3−2i32i3−2i3000000000000000000000000000−22222−22−22−200i6−i6i6−i6i6−i600000000000000000000000
χ914-44-4-24-2-20022-4-42222-24-2-200000022−220000−2i32i300−2i32i32i3−2i3000000000000000000000000000−2222−22−22−22i6−i600i6−i6−i6i600000000000000000000000
χ924-44-4-24-2-20022-4-42222-24-2-200000022−2200002i3−2i3002i3−2i3−2i32i3000000000000000000000000000−2222−22−22−22−i6i600−i6i6i6−i600000000000000000000000
χ934-44-4-24-2-20022-4-42222-24-2-2000000−22220000−2i32i300−2i32i32i3−2i30000000000000000000000000002−2−22222−22−2−i6i600−i6i6i6−i600000000000000000000000
χ944-44-4-24-2-20022-4-42222-24-2-2000000−222200002i3−2i3002i3−2i3−2i32i30000000000000000000000000002−2−22222−22−2i6−i600i6−i6−i6i600000000000000000000000
χ954-44-4-2-24-2002222-4-422-2-24-200000022−220000−2i32i32i3−2i300−2i32i3000000000000000000000000000−22−2222−22−22i6−i6−i6i600i6−i600000000000000000000000
χ964-44-4-2-24-2002222-4-422-2-24-200000022−2200002i3−2i3−2i32i3002i3−2i3000000000000000000000000000−22−2222−22−22−i6i6i6−i600−i6i600000000000000000000000
χ974-44-4-2-24-2002222-4-422-2-24-2000000−22220000−2i32i32i3−2i300−2i32i30000000000000000000000000002−22−2−22222−2−i6i6i6−i600−i6i600000000000000000000000
χ984-44-4-2-24-2002222-4-422-2-24-2000000−222200002i3−2i3−2i32i3002i3−2i30000000000000000000000000002−22−2−22222−2i6−i6−i6i600i6−i600000000000000000000000
χ994-44-4-2-2-2400222222-4-4-2-2-2400000022−220000−2i32i3−2i32i32i3−2i300000000000000000000000000000−22−22−2222−22i6−i6i6−i6−i6i60000000000000000000000000
χ1004-44-4-2-2-2400222222-4-4-2-2-2400000022−2200002i3−2i32i3−2i3−2i32i300000000000000000000000000000−22−22−2222−22−i6i6−i6i6i6−i60000000000000000000000000
χ1014-44-4-2-2-2400222222-4-4-2-2-24000000−22220000−2i32i3−2i32i32i3−2i3000000000000000000000000000002−22−22−2−2222−i6i6−i6i6i6−i60000000000000000000000000
χ1024-44-4-2-2-2400222222-4-4-2-2-24000000−222200002i3−2i32i3−2i3−2i32i3000000000000000000000000000002−22−22−2−2222i6−i6i6−i6−i6i60000000000000000000000000
χ1034-4-44444400-44-44-44-44-4-4-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000000−2i22i2000
χ1044-4-44444400-44-44-44-44-4-4-4-40000000000000000000000000000000000000000000000000000000000000000000000000000000002i2−2i2000
χ1058-8-888-4-4-400-884-44-44-4-844400000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-8-88-48-4-4004-4-884-44-44-84400000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-48-4004-44-4-884-444-8400000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-48004-44-44-4-88444-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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