Finite Group Databasebeta

← Group #11864144

Character table — Group #11864144

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222222222444444444444444444444444444444666666666666888888888888888812121212121212121212121212121212121224242424242424242424242472727272
order1222223344446666661212121222344666666666661212121212121212121212121212224466661212121266666666121212121212121222244466666612121212121222666688242424244488
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
χ51111111111111111111111-1-11-1-11111-1-1-1-111111111-1-1-1-111111111111111111-1-111-1-1-1-1-1-111-1-1-1-11-1-11-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1
χ61111111111111111111111-1-11-1-11111-1-1-1-111111111-1-1-1-111111111111111111-1-111-1-1-1-1-1-111-1-1-1-11-1-11-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111
χ71111111111111111111111-1-11-1-11111-1-1-1-111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-111-111-1-11111-1-11111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111-1-11-1-11111-1-1-1-111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-111-111-1-11111-1-11111-1-1-1-1-1-111111111-1-1
χ91111-1-111-1-111111111-1-1-1-1111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1111-1-11111-1-1-1-111-1-11111-1-111-1-1-1-1-1111-1-1-1-1111111-1-1-1-11-111-1-11-111-1-11-11-1
χ101111-1-111-1-111111111-1-1-1-1111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1111-1-11111-1-1-1-111-1-11111-1-111-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-11-1-111-11-1-111-11-11
χ111111-1-111-1-111111111-1-1-1-1111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11-1-111-1-1-1-1111111-1-11111-1-111-1-1-1-11-1-1-11111-1-1-1-1-1-111111-111-1-11-111-1-1-11-11
χ121111-1-111-1-111111111-1-1-1-1111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11-1-111-1-1-1-1111111-1-11111-1-111-1-1-1-11-1-1-11111-1-1-1-1-1-11111-11-1-111-11-1-1111-11-1
χ131111-1-111-1-111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1111-1-1-1-1-1-11111111-111-1-1-11-1-1111-1-11
χ141111-1-111-1-111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1111-1-1-1-1-1-1111111-11-1-1111-111-1-1-111-1
χ151111-1-111-1-111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-1-1111111-1-1-1-1-1-11-111-1-1-11-1-111-111-1
χ161111-1-111-1-111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-1-1111111-1-1-1-1-1-1-11-1-1111-111-1-11-1-11
χ1722222222-2-2-2-2222222-2-2-2-20020022220000222-2-2-2-2-20000-2-2-2-2-222-2-22222-2-2-2-20022000000-2-20000200-200220000-2-200000000000000000000
χ1822222222-2-2-2-2222222-2-2-2-20020022220000222-2-2-2-2-20000-2-2-2-2-2-2-222-2-2-2-222220022000000-2-20000-200200-2-200002200000000000000000000
χ192222222-1222222-1-12-1-1-1-1-122-12222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ202222222-1222222-1-12-1-1-1-1-122-12222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-12-2-2-2-21111111122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-21111111111110000000000000000
χ212222222-1222222-1-12-1-1-1-1-1-2-2-1-2-222-1-11111-1-1-1222-1-11111-1-1-1-122222-1-1-1-1-1-1-1-1-2-2-1-11111-2-2-1-111112-2-22-2-2-1-11111-1-111110000000000000000
χ222222222-1222222-1-12-1-1-1-1-1-2-2-1-2-222-1-11111-1-1-1222-1-11111-1-1-1-12-2-2-2-211111111-2-2-1-11111-2-2-1-11111-222-22211-1-1-1-111-1-1-1-10000000000000000
χ232222222-1-2-2-2-222-1-12-1111100-10022-1-1−i3−i3i3i3-1-1-1-2-2-211−i3−i3i3i31111-222-2-2-1-1-1-1111100-1-1−i3−i3i3i30011−i3−i3i3i3200-200-1-1−i3−i3i3i311−i3−i3i3i30000000000000000
χ242222222-1-2-2-2-222-1-12-1111100-10022-1-1−i3−i3i3i3-1-1-1-2-2-211−i3−i3i3i31111-2-2-2221111-1-1-1-100-1-1−i3−i3i3i30011−i3−i3i3i3-20020011i3i3−i3−i3-1-1i3i3−i3−i30000000000000000
χ252222222-1-2-2-2-222-1-12-1111100-10022-1-1i3i3−i3−i3-1-1-1-2-2-211i3i3−i3−i31111-222-2-2-1-1-1-1111100-1-1i3i3−i3−i30011i3i3−i3−i3200-200-1-1i3i3−i3−i311i3i3−i3−i30000000000000000
χ262222222-1-2-2-2-222-1-12-1111100-10022-1-1i3i3−i3−i3-1-1-1-2-2-211i3i3−i3−i31111-2-2-2221111-1-1-1-100-1-1i3i3−i3−i30011i3i3−i3−i3-20020011−i3−i3i3i3-1-1−i3−i3i3i30000000000000000
χ27222222-122222-1-122-12222222-122-1-1222222-1-1-1-1-1-1222222-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000022-1-1-1-122-1-1-1-10000
χ28222222-122222-1-122-12222222-122-1-1222222-1-1-1-1-1-1222222-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-21111-2-211110000
χ29222222-122222-1-122-122222-2-2-1-2-2-1-122-2-2-2-2-1-1-1-1-1-122-2-2-2-2-1-1-1-1-100000000000011-1-1111111-1-1111100000000000000000022-1-1-1-1-2-211110000
χ30222222-122222-1-122-122222-2-2-1-2-2-1-122-2-2-2-2-1-1-1-1-1-122-2-2-2-2-1-1-1-1-100000000000011-1-1111111-1-11111000000000000000000-2-2111122-1-1-1-10000
χ312222-2-22222-2-2222222222200200-2-2-2-20000222-222-2-200002222-222222222222200-2-2000000-2-20000-200-200-2-20000-2-200000000000000000000
χ322222-2-22222-2-2222222222200200-2-2-2-20000222-222-2-200002222-2-2-2-2-2-2-2-2-2-2-2-2-200-2-2000000-2-200002002002200002200000000000000000000
χ332222-2-22-122-2-222-1-12-1-1-1-1-100-100-2-211−i3−i3i3i3-1-1-1-22211i3i3−i3−i3-1-1-1-1-22222-1-1-1-1-1-1-1-10011−i3−i3i3i30011i3i3−i3−i3-200-20011−i3−i3i3i311i3i3−i3−i30000000000000000
χ342222-2-22-122-2-222-1-12-1-1-1-1-100-100-2-211−i3−i3i3i3-1-1-1-22211i3i3−i3−i3-1-1-1-1-2-2-2-2-2111111110011−i3−i3i3i30011i3i3−i3−i3200200-1-1i3i3−i3−i3-1-1−i3−i3i3i30000000000000000
χ352222-2-22-122-2-222-1-12-1-1-1-1-100-100-2-211i3i3−i3−i3-1-1-1-22211−i3−i3i3i3-1-1-1-1-22222-1-1-1-1-1-1-1-10011i3i3−i3−i30011−i3−i3i3i3-200-20011i3i3−i3−i311−i3−i3i3i30000000000000000
χ362222-2-22-122-2-222-1-12-1-1-1-1-100-100-2-211i3i3−i3−i3-1-1-1-22211−i3−i3i3i3-1-1-1-1-2-2-2-2-2111111110011i3i3−i3−i30011−i3−i3i3i3200200-1-1−i3−i3i3i3-1-1i3i3−i3−i30000000000000000
χ372222-2-22-1-2-22222-1-12-1111122-1-2-2-2-211-1-1-1-1-1-1-12-2-2-1-111111111222-2-2-1-1-1-111112211-1-1-1-1-2-2-1-11111-2222-2-211-1-1-1-1-1-111110000000000000000
χ382222-2-22-1-2-22222-1-12-1111122-1-2-2-2-211-1-1-1-1-1-1-12-2-2-1-1111111112-2-2221111-1-1-1-12211-1-1-1-1-2-2-1-111112-2-2-222-1-1111111-1-1-1-10000000000000000
χ392222-2-22-1-2-22222-1-12-11111-2-2-122-2-2111111-1-1-12-2-2-1-1-1-1-1-11111222-2-2-1-1-1-11111-2-211111122-1-1-1-1-1-1-2-2-2222111111-1-1-1-1-1-10000000000000000
χ402222-2-22-1-2-22222-1-12-11111-2-2-122-2-2111111-1-1-12-2-2-1-1-1-1-1-111112-2-2221111-1-1-1-1-2-211111122-1-1-1-1-1-1222-2-2-2-1-1-1-1-1-11111110000000000000000
χ412222-2-2-12-2-222-1-122-12-2-2-2-222-1-2-211-2-22222-1-1-1-11122-2-2-2-21111-1000000000000-1-111-1-1-1-111-1-111110000000000000000002-2-1-1112-2-1-1110000
χ422222-2-2-12-2-222-1-122-12-2-2-2-222-1-2-211-2-22222-1-1-1-11122-2-2-2-21111-1000000000000-1-111-1-1-1-111-1-11111000000000000000000-2211-1-1-2211-1-10000
χ432222-2-2-12-2-222-1-122-12-2-2-2-2-2-2-12211-2-2-2-2-2-2-1-1-1-1112222221111-100000000000011111111-1-1-1-1-1-1-1-10000000000000000002-2-1-111-2211-1-10000
χ442222-2-2-12-2-222-1-122-12-2-2-2-2-2-2-12211-2-2-2-2-2-2-1-1-1-1112222221111-100000000000011111111-1-1-1-1-1-1-1-1000000000000000000-2211-1-12-2-1-1110000
χ452-22-22-2222-22-2-2-2-2-22222-2-22-222-22-22-22-22-2-2-22-22-22-22-22-222-2-220000000000002-22-22-22-22-22-22-22-20000000000000000000000000000000000
χ462-22-22-2222-22-2-2-2-2-22222-2-2-222-222-22-2-22-22-2-22-22-22-2-22-2222-2-22000000000000-222-2-22-22-222-2-22-220000000000000000000000000000000000
χ472-22-22-222-22-22-2-2-2-222-2-222002002-22-20000-2-222-22-220000-2-222-2000000000000002-2000000-22000002-202-2002-22-2002-22-20000000000000000
χ482-22-22-222-22-22-2-2-2-222-2-222002002-22-20000-2-222-22-220000-2-222-2000000000000002-2000000-2200000-220-2200-22-2200-22-220000000000000000
χ492-22-22-22-12-22-2-2-2112-1-1-1112-2-12-22-2-11-11-1111-1-22-2-11-11-11-1-11120000−i3−i3i3i3−i3−i3i3i32-2-11-11-112-2-11-11-11000000−i3i3−i3i3i3−i3−i3i3−i3i3i3−i30000000000000000
χ502-22-22-22-12-22-2-2-2112-1-1-1112-2-12-22-2-11-11-1111-1-22-2-11-11-11-1-11120000i3i3−i3−i3i3i3−i3−i32-2-11-11-112-2-11-11-11000000i3−i3i3−i3−i3i3i3−i3i3−i3−i3i30000000000000000
χ512-22-22-22-12-22-2-2-2112-1-1-111-22-1-222-2-111-11-111-1-22-2-111-11-1-1-11120000−i3−i3i3i3−i3−i3i3i3-22-111-11-1-22-111-11-1000000−i3i3i3−i3−i3i3−i3i3i3−i3−i3i30000000000000000
χ522-22-22-22-12-22-2-2-2112-1-1-111-22-1-222-2-111-11-111-1-22-2-111-11-1-1-11120000i3i3−i3−i3i3i3−i3−i3-22-111-11-1-22-111-11-1000000i3−i3−i3i3i3−i3i3−i3−i3i3i3−i30000000000000000
χ532-22-22-22-1-22-22-2-2112-111-1-100-1002-2-11−i3i3i3−i311-12-221-1−i3i3i3−i311-1-1-20000−i3−i3i3i3i3i3−i3−i300-11−i3i3i3−i3001-1−i3i3i3−i302-202-2−i3i3-11-11i3−i3-11-110000000000000000
χ542-22-22-22-1-22-22-2-2112-111-1-100-1002-2-11−i3i3i3−i311-12-221-1−i3i3i3−i311-1-1-20000i3i3−i3−i3−i3−i3i3i300-11−i3i3i3−i3001-1−i3i3i3−i30-220-22i3−i31-11-1−i3i31-11-10000000000000000
χ552-22-22-22-1-22-22-2-2112-111-1-100-1002-2-11i3−i3−i3i311-12-221-1i3−i3−i3i311-1-1-20000−i3−i3i3i3i3i3−i3−i300-11i3−i3−i3i3001-1i3−i3−i3i30-220-22−i3i31-11-1i3−i31-11-10000000000000000
χ562-22-22-22-1-22-22-2-2112-111-1-100-1002-2-11i3−i3−i3i311-12-221-1i3−i3−i3i311-1-1-20000i3i3−i3−i3−i3−i3i3i300-11i3−i3−i3i3001-1i3−i3−i3i302-202-2i3−i3-11-11−i3i3-11-110000000000000000
χ572-22-22-2-122-22-211-2-2-1222-2-22-2-12-2-112-22-22-211-11-112-22-22-2-1-111-1000000000000-11-11-11-11-11-11-11-1100000000000000000000−i3i3−i3i300−i3i3−i3i30000
χ582-22-22-2-122-22-211-2-2-1222-2-22-2-12-2-112-22-22-211-11-112-22-22-2-1-111-1000000000000-11-11-11-11-11-11-11-1100000000000000000000i3−i3i3−i300i3−i3i3−i30000
χ592-22-22-2-122-22-211-2-2-1222-2-2-22-1-22-112-2-22-2211-11-112-2-22-22-1-111-10000000000001-1-111-11-11-1-111-11-100000000000000000000−i3i3−i3i300i3−i3i3−i30000
χ602-22-22-2-122-22-211-2-2-1222-2-2-22-1-22-112-2-22-2211-11-112-2-22-22-1-111-10000000000001-1-111-11-11-1-111-11-100000000000000000000i3−i3i3−i300−i3i3−i3i30000
χ612-22-2-22222-2-22-2-2-2-22222-2-200200-22-220000-2-2222-2-22000022-2-2-200000000000000-22000000-22000002-20-22002-22-200-22-220000000000000000
χ622-22-2-22222-2-22-2-2-2-22222-2-200200-22-220000-2-2222-2-22000022-2-2-200000000000000-22000000-2200000-2202-200-22-22002-22-20000000000000000
χ632-22-2-2222-222-2-2-2-2-222-2-2222-22-22-22-222-22-2-2-22-2-222-2-22-22-2-22220000000000002-2-222-22-2-222-2-22-220000000000000000000000000000000000
χ642-22-2-2222-222-2-2-2-2-222-2-222-2222-2-22-22-22-22-2-22-2-222-22-22-2-2-2222000000000000-22-22-22-222-22-22-22-20000000000000000000000000000000000
χ652-22-2-222-12-2-22-2-2112-1-1-11100-100-221-1−i3i3i3−i311-122-21-1i3−i3−i3i3-1-111-20000−i3−i3i3i3−i3−i3i3i3001-1−i3i3i3−i3001-1i3−i3−i3i302-20-22i3−i3-11-11i3−i31-11-10000000000000000
χ662-22-2-222-12-2-22-2-2112-1-1-11100-100-221-1−i3i3i3−i311-122-21-1i3−i3−i3i3-1-111-20000i3i3−i3−i3i3i3−i3−i3001-1−i3i3i3−i3001-1i3−i3−i3i30-2202-2−i3i31-11-1−i3i3-11-110000000000000000
χ672-22-2-222-12-2-22-2-2112-1-1-11100-100-221-1i3−i3−i3i311-122-21-1−i3i3i3−i3-1-111-20000−i3−i3i3i3−i3−i3i3i3001-1i3−i3−i3i3001-1−i3i3i3−i30-2202-2i3−i31-11-1i3−i3-11-110000000000000000
χ682-22-2-222-12-2-22-2-2112-1-1-11100-100-221-1i3−i3−i3i311-122-21-1−i3i3i3−i3-1-111-20000i3i3−i3−i3i3i3−i3−i3001-1i3−i3−i3i3001-1−i3i3i3−i302-20-22−i3i3-11-11−i3i31-11-10000000000000000
χ692-22-2-222-1-222-2-2-2112-111-1-12-2-1-22-221-1-11-1111-1-2-22-111-11-111-1-120000−i3−i3i3i3i3i3−i3−i32-21-1-11-11-22-111-11-1000000i3−i3−i3i3i3−i3−i3i3i3−i3−i3i30000000000000000
χ702-22-2-222-1-222-2-2-2112-111-1-12-2-1-22-221-1-11-1111-1-2-22-111-11-111-1-120000i3i3−i3−i3−i3−i3i3i32-21-1-11-11-22-111-11-1000000−i3i3i3−i3−i3i3i3−i3−i3i3i3−i30000000000000000
χ712-22-2-222-1-222-2-2-2112-111-1-1-22-12-2-221-11-11-111-1-2-22-11-11-1111-1-120000−i3−i3i3i3i3i3−i3−i3-221-11-11-12-2-11-11-11000000i3−i3i3−i3−i3i3−i3i3−i3i3i3−i30000000000000000
χ722-22-2-222-1-222-2-2-2112-111-1-1-22-12-2-221-11-11-111-1-2-22-11-11-1111-1-120000i3i3−i3−i3−i3−i3i3i3-221-11-11-12-2-11-11-11000000−i3i3−i3i3i3−i3i3−i3i3−i3−i3i30000000000000000
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χ844444-4-4-2-244-4-4-2-2-2-2-2-2-2-2-2-20010022222i32i3−2i3−2i31112-2-222−2i3−2i32i32i31111200000000000000-1-1−i3−i3i3i300-1-1i3i3−i3−i30000000000000000000000000000000000
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χ8844-4-4004400004-44-4-4-4000000400000000004-4-40000000000000000−4i4i0000−4i4i−4i4i00000000000000000000000000000000000000000000000000
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χ964-44-44-4-2-2-44-442222-2-222-2-200100-22-22−2i32i32i3−2i3-1-11-22-22-2−2i32i32i3−2i3-1-1112000000000000001-1i3−i3−i3i300-11i3−i3−i3i30000000000000000000000000000000000
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χ984-44-4-44-244-4-4422-4-4-2444-4-400-2002-2-44000022-2-2-22-440000-2-2222000000000000002-20000002-200000000000000000000000000000000000000
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χ1004-44-4-44-2-24-4-442222-2-2-2-222001002-22-22i3−2i3−2i32i3-1-11-2-222-2−2i32i32i3−2i311-1-1200000000000000-11−i3i3i3−i300-11i3−i3−i3i30000000000000000000000000000000000
χ1014-44-4-44-2-2-444-42222-2-222-2-24-41-442-22-2-22-22-1-1122-2-222-22-2-1-111-2000000000000-22-111-11-12-21-1-11-110000000000000000000000000000000000
χ1024-44-4-44-2-2-444-42222-2-222-2-2-4414-42-22-22-22-2-1-1122-2-22-22-22-1-111-20000000000002-2-11-11-11-221-11-11-10000000000000000000000000000000000
χ1034-4-4400440000-44-44-4-400000040000000000-44-4000000000000004-4004-4-44000000000000000000000000000000000000000000000000000000
χ1044-4-4400440000-44-44-4-400000040000000000-44-400000000000000-4400-444-4000000000000000000000000000000000000000000000000000000
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χ1064-4-44004-20000-442-2-4223−23−232300-200000000002-2200000000023−23−23230-44002-2-22−232323−2300000000000000000000000000000000000000000000000000
χ1074-4-44004-20000-442-2-42−232323−2300-200000000002-22000000000−232323−2304-400-222-2−232323−2300000000000000000000000000000000000000000000000000
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χ1128-8-8800-4800004-4-884-8000000-400000000004-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-8800-4-400004-44-44443−43−43430020000000000-22-2000000000−232323−23000000000000000000000000000000000000000000000000000000000000000
χ1148-8-8800-4-400004-44-444−434343−430020000000000-22-200000000023−23−2323000000000000000000000000000000000000000000000000000000000000000

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