Finite Group Databasebeta

← Group #11791047

Character table — Group #11791047

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222222222222222222222224444444444444444444444444444444444444444444444444444444418181818181818181818181818181818242424242424242424242424242424242424242424242424
order12222222334444444444446666666666666636666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212888888888888888822224444666666661212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111
χ5111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ6111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ7111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ8111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ9111-11-1-1-1111-1iiii−i−i−i−i1-11111-1-111-1-1-1-1-1-1111-1-11-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1-11-1i−ii−i11-1-111-1-1ii−i−iii−i−i
χ10111-11-1-1-1111-1iiii−i−i−i−i1-11111-1-111-1-1-1-1-1-1111-1-11-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1iiii−i−i−i−i-11-11−ii−ii-1-111-1-111−i−iii−i−iii
χ11111-11-1-1-1111-1iiii−i−i−i−i1-11111-1-111-1-1-1-1-1-1111-1-11-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111−i−i−i−iiiii1-1-11i−i−ii11-1-1-1-111ii−i−i−i−iii
χ12111-11-1-1-1111-1iiii−i−i−i−i1-11111-1-111-1-1-1-1-1-1111-1-11-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111−i−i−i−iiiii-111-1−iii−i-1-11111-1-1−i−iiiii−i−i
χ13111-11-1-1-1111-1−i−i−i−iiiii1-11111-1-111-1-1-1-1-1-1111-1-11-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−i−i−iiiii1-11-1−ii−ii11-1-111-1-1−i−iii−i−iii
χ14111-11-1-1-1111-1−i−i−i−iiiii1-11111-1-111-1-1-1-1-1-1111-1-11-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−i−i−iiiii-11-11i−ii−i-1-111-1-111ii−i−iii−i−i
χ15111-11-1-1-1111-1−i−i−i−iiiii1-11111-1-111-1-1-1-1-1-1111-1-11-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111iiii−i−i−i−i1-1-11−iii−i11-1-1-1-111−i−iiiii−i−i
χ16111-11-1-1-1111-1−i−i−i−iiiii1-11111-1-111-1-1-1-1-1-1111-1-11-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111iiii−i−i−i−i-111-1i−i−ii-1-11111-1-1ii−i−i−i−iii
χ172222222222-2-222-2-222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000
χ182222222222-2-2-2-222-2-222-2-22222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-222220000000000000000000000000000000000000000
χ19222222222-122222222222222-1-12-12-122-1-12-1-1-1-1-1-1-1-1-122-1-122-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000002200220000-1-1-1-10000-1-1-1-1
χ20222222222-122222222222222-1-12-12-122-1-12-1-1-1-1-1-1-1-1-122-1-122-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-200-2-20000111100001111
χ21222222222-122-2-2-2-2-2-2-2-22222-1-12-12-122-1-12-1-1-1-1-1-1-1-1-122-1-122-1-1-2-211-2-211-2-211-2-211-1-1-1-1-1-1-1-111111111111111110000000000000000002200-2-20000-1-1-1-100001111
χ22222222222-122-2-2-2-2-2-2-2-22222-1-12-12-122-1-12-1-1-1-1-1-1-1-1-122-1-122-1-1-2-211-2-211-2-211-2-211-1-1-1-1-1-1-1-11111111111111111000000000000000000-2-20022000011110000-1-1-1-1
χ23222222222-1-2-222-2-222-2-2-2-222-1-12-12-122-1-12-1-1-1-1-1-1-1-1-1-2-211-2-21122-1-1-2-21122-1-1-2-21111111111-1-1-1-11111-1-1-1-111110000000000000000000000000000−i3i3−i3i30000−i3i3−i3i3
χ24222222222-1-2-222-2-222-2-2-2-222-1-12-12-122-1-12-1-1-1-1-1-1-1-1-1-2-211-2-21122-1-1-2-21122-1-1-2-21111111111-1-1-1-11111-1-1-1-111110000000000000000000000000000i3−i3i3−i30000i3−i3i3−i3
χ25222222222-1-2-2-2-222-2-222-2-222-1-12-12-122-1-12-1-1-1-1-1-1-1-1-1-2-211-2-211-2-21122-1-1-2-21122-1-1111111111111-1-1-1-11111-1-1-1-10000000000000000000000000000−i3i3−i3i30000i3−i3i3−i3
χ26222222222-1-2-2-2-222-2-222-2-222-1-12-12-122-1-12-1-1-1-1-1-1-1-1-1-2-211-2-211-2-21122-1-1-2-21122-1-1111111111111-1-1-1-11111-1-1-1-10000000000000000000000000000i3−i3i3−i30000−i3i3−i3i3
χ2722222222-12222222222222-1-122-12-12-1-122-12-1-1-1-1-1-1-1-1-1-122-1-122-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000022002200-1-1-1-10000-1-1-1-10000
χ2822222222-12222222222222-1-122-12-12-1-122-12-1-1-1-1-1-1-1-1-1-122-1-122-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-200-2-2001111000011110000
χ2922222222-1222-2-2-2-2-2-2-2-222-1-122-12-12-1-122-12-1-1-1-1-1-1-1-1-1-122-1-12211-2-211-2-211-2-211-2-2-1-1-1-1-1-1-1-1111111111111111100000000000000002200-2-200-1-1-1-1000011110000
χ3022222222-1222-2-2-2-2-2-2-2-222-1-122-12-12-1-122-12-1-1-1-1-1-1-1-1-1-122-1-12211-2-211-2-211-2-211-2-2-1-1-1-1-1-1-1-111111111111111110000000000000000-2-200220011110000-1-1-1-10000
χ3122222222-12-2-222-2-222-2-2-2-2-1-122-12-12-1-122-12-1-1-1-1-1-1-1-111-2-211-2-2-1-12211-2-2-1-12211-2-211111111-1-1-1-11111-1-1-1-11111000000000000000000000000−i3i3−i3i30000−i3i3−i3i30000
χ3222222222-12-2-222-2-222-2-2-2-2-1-122-12-12-1-122-12-1-1-1-1-1-1-1-111-2-211-2-2-1-12211-2-2-1-12211-2-211111111-1-1-1-11111-1-1-1-11111000000000000000000000000i3−i3i3−i30000i3−i3i3−i30000
χ3322222222-12-2-2-2-222-2-222-2-2-1-122-12-12-1-122-12-1-1-1-1-1-1-1-111-2-211-2-211-2-2-1-12211-2-2-1-122111111111111-1-1-1-11111-1-1-1-1000000000000000000000000−i3i3−i3i30000i3−i3i3−i30000
χ3422222222-12-2-2-2-222-2-222-2-2-1-122-12-12-1-122-12-1-1-1-1-1-1-1-111-2-211-2-211-2-2-1-12211-2-2-1-122111111111111-1-1-1-11111-1-1-1-1000000000000000000000000i3−i3i3−i30000−i3i3−i3i30000
χ35222-22-2-2-222-222i2i−2i−2i−2i−2i2i2i-222222-2-222-2-2-2-2-2-2222-2-22-2-2-2-2-2-222222i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i-2-2-2-222222i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000000000000000
χ36222-22-2-2-222-22−2i−2i2i2i2i2i−2i−2i-222222-2-222-2-2-2-2-2-2222-2-22-2-2-2-2-2-22222−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i-2-2-2-22222−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i0000000000000000000000000000000000000000
χ37222-22-2-2-22-12-22i2i2i2i−2i−2i−2i−2i2-222-1-1-212-1-2-211-21-1-1-111-11122-1-1-2-2112i2i−i−i2i2i−i−i−2i−2iii−2i−2iii-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii0000000000000000002-2002i−2i0000-1-1110000−i−iii
χ38222-22-2-2-22-12-22i2i2i2i−2i−2i−2i−2i2-222-1-1-212-1-2-211-21-1-1-111-11122-1-1-2-2112i2i−i−i2i2i−i−i−2i−2iii−2i−2iii-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii000000000000000000-2200−2i2i000011-1-10000ii−i−i
χ39222-22-2-2-22-12-2−2i−2i−2i−2i2i2i2i2i2-222-1-1-212-1-2-211-21-1-1-111-11122-1-1-2-211−2i−2iii−2i−2iii2i2i−i−i2i2i−i−i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i0000000000000000002-200−2i2i0000-1-1110000ii−i−i
χ40222-22-2-2-22-12-2−2i−2i−2i−2i2i2i2i2i2-222-1-1-212-1-2-211-21-1-1-111-11122-1-1-2-211−2i−2iii−2i−2iii2i2i−i−i2i2i−i−i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i000000000000000000-22002i−2i000011-1-10000−i−iii
χ41222-22-2-2-22-1-222i2i−2i−2i−2i−2i2i2i-2222-1-1-212-1-2-211-21-1-1-111-111-2-21122-1-12i2i−i−i−2i−2iii−2i−2iii2i2i−i−i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i0000000000000000000000000000−i3i3i3−i300003−3−33
χ42222-22-2-2-22-1-222i2i−2i−2i−2i−2i2i2i-2222-1-1-212-1-2-211-21-1-1-111-111-2-21122-1-12i2i−i−i−2i−2iii−2i−2iii2i2i−i−i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i0000000000000000000000000000i3−i3−i3i30000−333−3
χ43222-22-2-2-22-1-22−2i−2i2i2i2i2i−2i−2i-2222-1-1-212-1-2-211-21-1-1-111-111-2-21122-1-1−2i−2iii2i2i−i−i2i2i−i−i−2i−2iii1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii0000000000000000000000000000−i3i3i3−i30000−333−3
χ44222-22-2-2-22-1-22−2i−2i2i2i2i2i−2i−2i-2222-1-1-212-1-2-211-21-1-1-111-111-2-21122-1-1−2i−2iii2i2i−i−i2i2i−i−i−2i−2iii1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii0000000000000000000000000000i3−i3−i3i300003−3−33
χ45222-22-2-2-2-122-22i2i2i2i−2i−2i−2i−2i2-2-1-1221-2-1211-2-21-2-1-1-111-111-1-12211-2-2−i−i2i2i−i−i2i2iii−2i−2iii−2i−2i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii00000000000000002-2002i−2i00-1-1110000−i−iii0000
χ46222-22-2-2-2-122-22i2i2i2i−2i−2i−2i−2i2-2-1-1221-2-1211-2-21-2-1-1-111-111-1-12211-2-2−i−i2i2i−i−i2i2iii−2i−2iii−2i−2i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii0000000000000000-2200−2i2i0011-1-10000ii−i−i0000
χ47222-22-2-2-2-122-2−2i−2i−2i−2i2i2i2i2i2-2-1-1221-2-1211-2-21-2-1-1-111-111-1-12211-2-2ii−2i−2iii−2i−2i−i−i2i2i−i−i2i2i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i00000000000000002-200−2i2i00-1-1110000ii−i−i0000
χ48222-22-2-2-2-122-2−2i−2i−2i−2i2i2i2i2i2-2-1-1221-2-1211-2-21-2-1-1-111-111-1-12211-2-2ii−2i−2iii−2i−2i−i−i2i2i−i−i2i2i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i0000000000000000-22002i−2i0011-1-10000−i−iii0000
χ49222-22-2-2-2-12-222i2i−2i−2i−2i−2i2i2i-22-1-1221-2-1211-2-21-2-1-1-111-11111-2-2-1-122−i−i2i2iii−2i−2iii−2i−2i−i−i2i2i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i000000000000000000000000−i3i3i3−i300003−3−330000
χ50222-22-2-2-2-12-222i2i−2i−2i−2i−2i2i2i-22-1-1221-2-1211-2-21-2-1-1-111-11111-2-2-1-122−i−i2i2iii−2i−2iii−2i−2i−i−i2i2i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i000000000000000000000000i3−i3−i3i30000−333−30000
χ51222-22-2-2-2-12-22−2i−2i2i2i2i2i−2i−2i-22-1-1221-2-1211-2-21-2-1-1-111-11111-2-2-1-122ii−2i−2i−i−i2i2i−i−i2i2iii−2i−2i1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii000000000000000000000000−i3i3i3−i30000−333−30000
χ52222-22-2-2-2-12-22−2i−2i2i2i2i2i−2i−2i-22-1-1221-2-1211-2-21-2-1-1-111-11111-2-2-1-122ii−2i−2i−i−i2i2i−i−i2i2iii−2i−2i1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii000000000000000000000000i3−i3−i3i300003−3−330000
χ5322-22-22-2-22200002i−2i002i−2i002-22-222-2-22-22-2-2-222-22-2-22-20000000000002i−2i2i−2i00002i−2i2i−2i0000000000002i2i−2i−2i00002i2i−2i−2i22−2−222−2−2−i2−i2i2i2−i2−i2i2i2000000000000000000000000
χ5422-22-22-2-22200002i−2i002i−2i002-22-222-2-22-22-2-2-222-22-2-22-20000000000002i−2i2i−2i00002i−2i2i−2i0000000000002i2i−2i−2i00002i2i−2i−2i−2−222−2−222i2i2−i2−i2i2i2−i2−i2000000000000000000000000
χ5522-22-22-2-2220000−2i2i00−2i2i002-22-222-2-22-22-2-2-222-22-2-22-2000000000000−2i2i−2i2i0000−2i2i−2i2i000000000000−2i−2i2i2i0000−2i−2i2i2i22−2−222−2−2i2i2−i2−i2i2i2−i2−i2000000000000000000000000
χ5622-22-22-2-2220000−2i2i00−2i2i002-22-222-2-22-22-2-2-222-22-2-22-2000000000000−2i2i−2i2i0000−2i2i−2i2i000000000000−2i−2i2i2i0000−2i−2i2i2i−2−222−2−222−i2−i2i2i2−i2−i2i2i2000000000000000000000000
χ5722-2-2-2-2222200002-200-22002-22-2-2-2-2-2-22-222222-2-22-2-220000000000002-22-20000-22-2200000000000022-2-20000-2-22222−2−2−2−222−2−22222−2−2000000000000000000000000
χ5822-2-2-2-2222200002-200-22002-22-2-2-2-2-2-22-222222-2-22-2-220000000000002-22-20000-22-2200000000000022-2-20000-2-222−2−22222−2−222−2−2−2−222000000000000000000000000
χ5922-2-2-2-222220000-22002-2002-22-2-2-2-2-2-22-222222-2-22-2-22000000000000-22-2200002-22-2000000000000-2-222000022-2-222−2−2−2−22222−2−2−2−222000000000000000000000000
χ6022-2-2-2-222220000-22002-2002-22-2-2-2-2-2-22-222222-2-22-2-22000000000000-22-2200002-22-2000000000000-2-222000022-2-2−2−22222−2−2−2−22222−2−2000000000000000000000000
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Here i is the imaginary unit (i² = −1).