Finite Group Databasebeta

← Group #11784624

Character table — Group #11784624

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222222222444444444444444444444444444444666666666666888888888888888812121212121212121212121212121212121224242424242424242424242472727272
order1222222222336666666666223446666666666666666666661212121244441212121212121212666666666612121212121222444466661212121212121212444412121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-11-1-111111111-1-1-1-1111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1
χ61111111111111111111111-1-11-1-111111111-1-1-1-1111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-111
χ71111111111111111111111-1-11-1-111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-11111-1-1-1-1-1-111
χ81111111111111111111111-1-11-1-111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-111-1-1-1-1111111-1-1
χ9111111-1-1-1-1111111111111111-1-111-1-1-1-1-1-111111111111-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111i−ii−iii−i−iii−i−ii−ii−i
χ10111111-1-1-1-1111111111111111-1-111-1-1-1-1-1-111111111111-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111−ii−ii−i−iii−i−iii−ii−ii
χ11111111-1-1-1-1111111111111111-1-111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-111111111-1-1-1-1i−ii−iii−i−iii−i−i−ii−ii
χ12111111-1-1-1-1111111111111111-1-111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-111111111-1-1-1-1−ii−ii−i−iii−i−iiii−ii−i
χ13111111-1-1-1-1111111111111-1-111111-1-1-1-1-1-1-1-1-1-11111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1i−i−iiii−i−i−i−iiii−i−ii
χ14111111-1-1-1-1111111111111-1-111111-1-1-1-1-1-1-1-1-1-11111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1−iii−i−i−iiiii−i−i−iii−i
χ15111111-1-1-1-1111111111111-1-111111-1-1-1-1-1-1-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111111111i−i−iiii−i−i−i−iii−iii−i
χ16111111-1-1-1-1111111111111-1-111111-1-1-1-1-1-1-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111111111−iii−i−i−iiiii−i−ii−i−ii
χ1722222222222-122-1-1-1-1-1-12-122-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ1822222222222-122-1-1-1-1-1-12-122-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-21111111122-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2-2-21111111111110000000000000000
χ1922222222222-122-1-1-1-1-1-12-1-2-2-1-2-22222-1-1-1-11111-1-1-1-1-1-1-12211112222-1-1-1-1-1-1-1-1-2-2-1-1-1-11111-2-21111-2-222-2-21111-1-1-1-111110000000000000000
χ2022222222222-122-1-1-1-1-1-12-1-2-2-1-2-22222-1-1-1-11111-1-1-1-1-1-1-1221111-2-2-2-211111111-2-2-1-1-1-11111-2-2111122-2-222-1-1-1-11111-1-1-1-10000000000000000
χ212222222222-12-1-1222222-1222-122-1-1-1-122222222-1-1-1-1-1-1-1-1-12222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000002222-1-1-1-1-1-1-1-10000
χ222222222222-12-1-1222222-1222-122-1-1-1-122222222-1-1-1-1-1-1-1-1-12222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-2-2-2111111110000
χ232222222222-12-1-1222222-12-2-2-1-2-2-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-2-2-2-200000000000011-1-1-1-1111111111100000000000000000022-2-2-1-1-1-111110000
χ242222222222-12-1-1222222-12-2-2-1-2-2-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-2-2-2-200000000000011-1-1-1-11111111111000000000000000000-2-2221111-1-1-1-10000
χ25222222-2-2-2-22-122-1-1-1-1-1-12-122-1-2-222-2-21111-1-1-1-1-1-1-1-1-1-1-1-2-211112222-1-1-1-1-1-1-1-1221111-1-1-1-1-2-21111-2-2-2-22211111111-1-1-1-10000000000000000
χ26222222-2-2-2-22-122-1-1-1-1-1-12-122-1-2-222-2-21111-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2-2-211111111221111-1-1-1-1-2-211112222-2-2-1-1-1-1-1-1-1-111110000000000000000
χ27222222-2-2-2-22-122-1-1-1-1-1-12-1-2-2-12222-2-211111111-1-1-1-1-1-1-1-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-2-21111111122-1-1-1-122-2-2-2-2-1-1-1-1111111110000000000000000
χ28222222-2-2-2-22-122-1-1-1-1-1-12-1-2-2-12222-2-211111111-1-1-1-1-1-1-1-2-2-1-1-1-1-2-2-2-211111111-2-21111111122-1-1-1-1-2-222221111-1-1-1-1-1-1-1-10000000000000000
χ29222222-2-2-2-2-12-1-1222222-1222-1-2-2-1-111-2-2-2-22222-1-1-1-1-1-1-111-2-2-2-2000000000000-1-11111-1-1-1-11111110000000000000000002i−2i2i−2i−i−iii−i−iii0000
χ30222222-2-2-2-2-12-1-1222222-1222-1-2-2-1-111-2-2-2-22222-1-1-1-1-1-1-111-2-2-2-2000000000000-1-11111-1-1-1-1111111000000000000000000−2i2i−2i2iii−i−iii−i−i0000
χ31222222-2-2-2-2-12-1-1222222-12-2-2-122-1-111-2-2-2-2-2-2-2-2-1-1-1-1-1-1-11122220000000000001111111111-1-1-1-1-1-10000000000000000002i−2i−2i2i−i−iiiii−i−i0000
χ32222222-2-2-2-2-12-1-1222222-12-2-2-122-1-111-2-2-2-2-2-2-2-2-1-1-1-1-1-1-11122220000000000001111111111-1-1-1-1-1-1000000000000000000−2i2i2i−2iii−i−i−i−iii0000
χ332222-2-22-22-2222222-2-2-2-22200200-2-22-222-2-2000022-2-2-2-222-2000022-2-22222-2-2-2-20022-2-20000000000002-200000022-2-200000000000000000000
χ342222-2-22-22-2222222-2-2-2-22200200-2-22-222-2-2000022-2-2-2-222-20000-2-222-2-2-2-222220022-2-2000000000000-22000000-2-22200000000000000000000
χ352222-2-22-22-22-122-1-111112-100-100-2-22-2-1-111−i3−i3i3i3-1-11111-12-2−i3−i3i3i322-2-2-1-1-1-1111100-1-111−i3−i3i3i300−i3−i3i3i3002-200−i3−i3i3i3-1-111−i3−i3i3i30000000000000000
χ362222-2-22-22-22-122-1-111112-100-100-2-22-2-1-111−i3−i3i3i3-1-11111-12-2−i3−i3i3i3-2-2221111-1-1-1-100-1-111−i3−i3i3i300−i3−i3i3i300-2200i3i3−i3−i311-1-1i3i3−i3−i30000000000000000
χ372222-2-22-22-22-122-1-111112-100-100-2-22-2-1-111i3i3−i3−i3-1-11111-12-2i3i3−i3−i322-2-2-1-1-1-1111100-1-111i3i3−i3−i300i3i3−i3−i3002-200i3i3−i3−i3-1-111i3i3−i3−i30000000000000000
χ382222-2-22-22-22-122-1-111112-100-100-2-22-2-1-111i3i3−i3−i3-1-11111-12-2i3i3−i3−i3-2-2221111-1-1-1-100-1-111i3i3−i3−i300i3i3−i3−i300-2200−i3−i3i3i311-1-1−i3−i3i3i30000000000000000
χ392222-2-2-22-22222222-2-2-2-22200200-2-2-22-2-222000022-2-2-2-22-22000022-2-22222-2-2-2-200-2-222000000000000-22000000-2-22200000000000000000000
χ402222-2-2-22-22222222-2-2-2-22200200-2-2-22-2-222000022-2-2-2-22-220000-2-222-2-2-2-2222200-2-2220000000000002-200000022-2-200000000000000000000
χ412222-2-2-22-222-122-1-111112-100-100-2-2-2211-1-1−i3−i3i3i3-1-11111-1-22i3i3−i3−i322-2-2-1-1-1-111110011-1-1−i3−i3i3i300i3i3−i3−i300-2200i3i3−i3−i311-1-1−i3−i3i3i30000000000000000
χ422222-2-2-22-222-122-1-111112-100-100-2-2-2211-1-1−i3−i3i3i3-1-11111-1-22i3i3−i3−i3-2-2221111-1-1-1-10011-1-1−i3−i3i3i300i3i3−i3−i3002-200−i3−i3i3i3-1-111i3i3−i3−i30000000000000000
χ432222-2-2-22-222-122-1-111112-100-100-2-2-2211-1-1i3i3−i3−i3-1-11111-1-22−i3−i3i3i322-2-2-1-1-1-111110011-1-1i3i3−i3−i300−i3−i3i3i300-2200−i3−i3i3i311-1-1i3i3−i3−i30000000000000000
χ442222-2-2-22-222-122-1-111112-100-100-2-2-2211-1-1i3i3−i3−i3-1-11111-1-22−i3−i3i3i3-2-2221111-1-1-1-10011-1-1i3i3−i3−i300−i3−i3i3i3002-200i3i3−i3−i3-1-111−i3−i3i3i30000000000000000
χ452-2-222-222-2-222-2-2-2-222-2-2222-222-22-2-2-22-22-22-22-2-2-222-2-22222-22-20000000000002-22-22-22-22-22-22-22-20000000000000000000000000000000000
χ462-2-222-222-2-222-2-2-2-222-2-222-222-222-2-2-22-22-2-22-22-2-222-2-2222-22-22000000000000-222-22-2-22-22-22-22-220000000000000000000000000000000000
χ472-2-222-222-2-22-1-2-211-1-1112-12-2-12-22-2-2-2-11-11-11-1111-1-111-122-11-110000−i3−i3i3i3−i3−i3i3i32-2-11-11-11-112-2-11-11000000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i30000000000000000
χ482-2-222-222-2-22-1-2-211-1-1112-12-2-12-22-2-2-2-11-11-11-1111-1-111-122-11-110000i3i3−i3−i3i3i3−i3−i32-2-11-11-11-112-2-11-11000000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i30000000000000000
χ492-2-222-222-2-22-1-2-211-1-1112-1-22-1-222-2-2-2-11-111-11-111-1-111-1221-11-10000−i3−i3i3i3−i3−i3i3i3-22-11-111-11-1-221-11-1000000i3−i3i3−i3−i3i3−i3i3i3−i3i3−i30000000000000000
χ502-2-222-222-2-22-1-2-211-1-1112-1-22-1-222-2-2-2-11-111-11-111-1-111-1221-11-10000i3i3−i3−i3i3i3−i3−i3-22-11-111-11-1-221-11-1000000−i3i3−i3i3i3−i3i3−i3−i3i3−i3i30000000000000000
χ512-2-222-222-2-2-1211-2-222-2-2-122-2-12-2-11112-22-22-22-211-1-111-1-1-12-22-2000000000000-11-11-11-11-11-11-11-110000000000000000000000−i3i3−i3i3−i3i3−i3i30000
χ522-2-222-222-2-2-1211-2-222-2-2-122-2-12-2-11112-22-22-22-211-1-111-1-1-12-22-2000000000000-11-11-11-11-11-11-11-110000000000000000000000i3−i3i3−i3i3−i3i3−i30000
χ532-2-222-222-2-2-1211-2-222-2-2-12-22-1-22-11112-22-2-22-2211-1-111-1-1-1-22-220000000000001-1-11-111-11-11-11-11-10000000000000000000000−i3i3−i3i3i3−i3i3−i30000
χ542-2-222-222-2-2-1211-2-222-2-2-12-22-1-22-11112-22-2-22-2211-1-111-1-1-1-22-220000000000001-1-11-111-11-11-11-11-10000000000000000000000i3−i3i3−i3−i3i3−i3i30000
χ552-2-222-2-2-22222-2-2-2-222-2-2222-22-222-222-22-222-22-2-2-222-2-22-2-2-22-220000000000002-2-22-222-22-2-22-22-220000000000000000000000000000000000
χ562-2-222-2-2-22222-2-2-2-222-2-222-2222-22-222-22-22-22-22-2-222-2-22-2-22-22-2000000000000-22-22-22-22-222-22-22-20000000000000000000000000000000000
χ572-2-222-2-2-2222-1-2-211-1-1112-12-2-1-222-2221-11-1-11-1111-1-111-1-2-21-11-10000−i3−i3i3i3−i3−i3i3i32-21-11-1-11-11-221-11-1000000i3−i3i3−i3i3−i3i3−i3−i3i3−i3i30000000000000000
χ582-2-222-2-2-2222-1-2-211-1-1112-12-2-1-222-2221-11-1-11-1111-1-111-1-2-21-11-10000i3i3−i3−i3i3i3−i3−i32-21-11-1-11-11-221-11-1000000−i3i3−i3i3−i3i3−i3i3i3−i3i3−i30000000000000000
χ592-2-222-2-2-2222-1-2-211-1-1112-1-22-12-22-2221-11-11-11-111-1-111-1-2-2-11-110000−i3−i3i3i3−i3−i3i3i3-221-11-11-11-12-2-11-11000000−i3i3−i3i3i3−i3i3−i3i3−i3i3−i30000000000000000
χ602-2-222-2-2-2222-1-2-211-1-1112-1-22-12-22-2221-11-11-11-111-1-111-1-2-2-11-110000i3i3−i3−i3i3i3−i3−i3-221-11-11-11-12-2-11-11000000i3−i3i3−i3−i3i3−i3i3−i3i3−i3i30000000000000000
χ612-2-222-2-2-222-1211-2-222-2-2-122-2-1-22-11-1-1-22-222-22-211-1-111-111-22-22000000000000-111-11-1-11-111-11-11-100000000000000000000003−3−333−3−330000
χ622-2-222-2-2-222-1211-2-222-2-2-122-2-1-22-11-1-1-22-222-22-211-1-111-111-22-22000000000000-111-11-1-11-111-11-11-10000000000000000000000−333−3−333−30000
χ632-2-222-2-2-222-1211-2-222-2-2-12-22-12-2-11-1-1-22-22-22-2211-1-111-1112-22-20000000000001-11-11-11-11-1-11-11-1100000000000000000000003−3−33−333−30000
χ642-2-222-2-2-222-1211-2-222-2-2-12-22-12-2-11-1-1-22-22-22-2211-1-111-1112-22-20000000000001-11-11-11-11-1-11-11-110000000000000000000000−333−33−3−330000
χ652-2-22-222-2-2222-2-2-2-2-2-2222200200-22-222-2-220000-2-2-2-22222-20000000000000000002-2-2200000000002-2002-22-2-2200002-2-220000000000000000
χ662-2-22-222-2-2222-2-2-2-2-2-2222200200-22-222-2-220000-2-2-2-22222-20000000000000000002-2-220000000000-2200-22-222-20000-222-20000000000000000
χ672-2-22-222-2-222-1-2-21111-1-12-100-100-22-22-111-1−i3i3i3−i31111-1-1-12-2−i3i3i3−i30000−i3−i3i3i3i3i3−i3−i300-111-1−i3i3i3−i300−i3i3i3−i32-2002-2-111-1−i3i3i3−i3-111-10000000000000000
χ682-2-22-222-2-222-1-2-21111-1-12-100-100-22-22-111-1−i3i3i3−i31111-1-1-12-2−i3i3i3−i30000i3i3−i3−i3−i3−i3i3i300-111-1−i3i3i3−i300−i3i3i3−i3-2200-221-1-11i3−i3−i3i31-1-110000000000000000
χ692-2-22-222-2-222-1-2-21111-1-12-100-100-22-22-111-1i3−i3−i3i31111-1-1-12-2i3−i3−i3i30000−i3−i3i3i3i3i3−i3−i300-111-1i3−i3−i3i300i3−i3−i3i3-2200-221-1-11−i3i3i3−i31-1-110000000000000000
χ702-2-22-222-2-222-1-2-21111-1-12-100-100-22-22-111-1i3−i3−i3i31111-1-1-12-2i3−i3−i3i30000i3i3−i3−i3−i3−i3i3i300-111-1i3−i3−i3i300i3−i3−i3i32-2002-2-111-1i3−i3−i3i3-111-10000000000000000
χ712-2-22-22-222-222-2-2-2-2-2-2222200200-222-2-222-20000-2-2-2-2222-22000000000000000000-222-200000000002-200-222-2-220000-222-20000000000000000
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χ732-2-22-22-222-22-1-2-21111-1-12-100-100-222-21-1-11−i3i3i3−i31111-1-1-1-22i3−i3−i3i30000−i3−i3i3i3i3i3−i3−i3001-1-11−i3i3i3−i300i3−i3−i3i3-22002-21-1-11i3−i3−i3i3-111-10000000000000000
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χ1148-88-8000000-4-44-44-44i3−4i3−4i34i34400200000000000000-22−2i32i32i3−2i3-200000000000000000000000000000000000000000000000000000000000000000000

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