Finite Group Databasebeta

← Group #11791014

Character table — Group #11791014

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222222222222222222222224444444444444444444444444444444444444444444444444444444418181818181818181818181818181818242424242424242424242424242424242424242424242424
order1222222233444444444444666666666666663666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121288888888888888884444444412121212121212121212121212121212
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
χ51111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ61111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ71111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ81111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ9111-1-1-1-1111iiii−i−i−i−i1-11-11111-1-1-1-1-1-1-1-111111-1-11-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1iiii−i−i−i−ii−ii−i1-11-1ii−i−iii−i−i11-1-111-1-1
χ10111-1-1-1-1111iiii−i−i−i−i1-11-11111-1-1-1-1-1-1-1-111111-1-11-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1iiii−i−i−i−i−ii−ii-11-11−i−iii−i−iii-1-111-1-111
χ11111-1-1-1-1111iiii−i−i−i−i1-11-11111-1-1-1-1-1-1-1-111111-1-11-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111−i−i−i−iiiiii−i−ii1-1-11ii−i−i−i−iii11-1-1-1-111
χ12111-1-1-1-1111iiii−i−i−i−i1-11-11111-1-1-1-1-1-1-1-111111-1-11-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111−i−i−i−iiiii−iii−i-111-1−i−iiiii−i−i-1-11111-1-1
χ13111-1-1-1-1111−i−i−i−iiiii1-11-11111-1-1-1-1-1-1-1-111111-1-11-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−i−i−iiiiii−ii−i-11-11ii−i−iii−i−i-1-111-1-111
χ14111-1-1-1-1111−i−i−i−iiiii1-11-11111-1-1-1-1-1-1-1-111111-1-11-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−i−i−iiiii−ii−ii1-11-1−i−iii−i−iii11-1-111-1-1
χ15111-1-1-1-1111−i−i−i−iiiii1-11-11111-1-1-1-1-1-1-1-111111-1-11-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111iiii−i−i−i−ii−i−ii-111-1ii−i−i−i−iii-1-11111-1-1
χ16111-1-1-1-1111−i−i−i−iiiii1-11-11111-1-1-1-1-1-1-1-111111-1-11-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111iiii−i−i−i−i−iii−i1-1-11−i−iiiii−i−i11-1-1-1-111
χ17222222222222-2-222-2-2-2-2-2-222222222222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000
χ182222222222-2-222-2-222-2-2-2-22222222222222222222222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-222220000000000000000000000000000000000000000
χ19222222222-122222222222222-1-12-122-1-12-12-1-1-1-1-1-1-1-1-122-1-122-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000002200220000-1-1-1-10000-1-1-1-1
χ20222222222-122222222222222-1-12-122-1-12-12-1-1-1-1-1-1-1-1-122-1-122-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-200-2-20000111100001111
χ21222222222-122-2-222-2-2-2-2-2-222-1-12-122-1-12-12-1-1-1-1-1-1-1-1-122-1-1-2-21122-1-1-2-211-2-211-2-21111111111-1-1-1-11111-1-1-1-111110000000000000000000000000000−i3i3−i3i30000−i3i3−i3i3
χ22222222222-122-2-222-2-2-2-2-2-222-1-12-122-1-12-12-1-1-1-1-1-1-1-1-122-1-1-2-21122-1-1-2-211-2-211-2-21111111111-1-1-1-11111-1-1-1-111110000000000000000000000000000i3−i3i3−i30000i3−i3i3−i3
χ23222222222-1-2-222-2-222-2-2-2-222-1-12-122-1-12-12-1-1-1-1-1-1-1-1-1-2-21122-1-1-2-21122-1-1-2-211-2-211111111111111-1-1-1-11111-1-1-1-10000000000000000000000000000−i3i3−i3i30000i3−i3i3−i3
χ24222222222-1-2-222-2-222-2-2-2-222-1-12-122-1-12-12-1-1-1-1-1-1-1-1-1-2-21122-1-1-2-21122-1-1-2-211-2-211111111111111-1-1-1-11111-1-1-1-10000000000000000000000000000i3−i3i3−i30000−i3i3−i3i3
χ25222222222-1-2-2-2-2-2-2-2-2222222-1-12-122-1-12-12-1-1-1-1-1-1-1-1-1-2-211-2-211-2-211-2-21122-1-122-1-1-1-1-1-1-1-1-1-111111111111111110000000000000000002200-2-20000-1-1-1-100001111
χ26222222222-1-2-2-2-2-2-2-2-2222222-1-12-122-1-12-12-1-1-1-1-1-1-1-1-1-2-211-2-211-2-211-2-21122-1-122-1-1-1-1-1-1-1-1-1-11111111111111111000000000000000000-2-20022000011110000-1-1-1-1
χ2722222222-12222222222222-1-122-12-1-122-12-12-1-1-1-1-1-1-1-1-1-122-1-122-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000022002200-1-1-1-10000-1-1-1-10000
χ2822222222-12222222222222-1-122-12-1-122-12-12-1-1-1-1-1-1-1-1-1-122-1-122-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-200-2-2001111000011110000
χ2922222222-1222-2-222-2-2-2-2-2-2-1-122-12-1-122-12-12-1-1-1-1-1-1-1-1-1-12211-2-2-1-12211-2-211-2-211-2-211111111-1-1-1-11111-1-1-1-11111000000000000000000000000−i3i3−i3i30000−i3i3−i3i30000
χ3022222222-1222-2-222-2-2-2-2-2-2-1-122-12-1-122-12-12-1-1-1-1-1-1-1-1-1-12211-2-2-1-12211-2-211-2-211-2-211111111-1-1-1-11111-1-1-1-11111000000000000000000000000i3−i3i3−i30000i3−i3i3−i30000
χ3122222222-12-2-222-2-222-2-2-2-2-1-122-12-1-122-12-12-1-1-1-1-1-1-1-111-2-2-1-12211-2-2-1-12211-2-211-2-2111111111111-1-1-1-11111-1-1-1-1000000000000000000000000−i3i3−i3i30000i3−i3i3−i30000
χ3222222222-12-2-222-2-222-2-2-2-2-1-122-12-1-122-12-12-1-1-1-1-1-1-1-111-2-2-1-12211-2-2-1-12211-2-211-2-2111111111111-1-1-1-11111-1-1-1-1000000000000000000000000i3−i3i3−i30000−i3i3−i3i30000
χ3322222222-12-2-2-2-2-2-2-2-22222-1-122-12-1-122-12-12-1-1-1-1-1-1-1-111-2-211-2-211-2-211-2-2-1-122-1-122-1-1-1-1-1-1-1-1111111111111111100000000000000002200-2-200-1-1-1-1000011110000
χ3422222222-12-2-2-2-2-2-2-2-22222-1-122-12-1-122-12-12-1-1-1-1-1-1-1-111-2-211-2-211-2-211-2-2-1-122-1-122-1-1-1-1-1-1-1-111111111111111110000000000000000-2-200220011110000-1-1-1-10000
χ35222-2-2-2-22222i2i−2i−2i−2i−2i2i2i-22-222222-2-2-2-2-2-2-2-222222-2-22-2-22i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i-2-2-2-22222-2-2-2-222222i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000000000000000
χ36222-2-2-2-2222−2i−2i2i2i2i2i−2i−2i-22-222222-2-2-2-2-2-2-2-222222-2-22-2-2−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i-2-2-2-22222-2-2-2-22222−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i0000000000000000000000000000000000000000
χ37222-2-2-2-222-12i2i2i2i−2i−2i−2i−2i2-22-222-1-1-21-2-211-212-1-1-1-111-1112i2i−i−i2i2i−i−i−2i−2iii−2i−2iii22-1-1-2-211-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii0000000000000000002i−2i002-20000−i−iii0000-1-111
χ38222-2-2-2-222-12i2i2i2i−2i−2i−2i−2i2-22-222-1-1-21-2-211-212-1-1-1-111-1112i2i−i−i2i2i−i−i−2i−2iii−2i−2iii22-1-1-2-211-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii000000000000000000−2i2i00-220000ii−i−i000011-1-1
χ39222-2-2-2-222-12i2i−2i−2i−2i−2i2i2i-22-2222-1-1-21-2-211-212-1-1-1-111-1112i2i−i−i−2i−2iii−2i−2iii2i2i−i−i-2-21122-1-11111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i00000000000000000000000000003−3−330000−i3i3i3−i3
χ40222-2-2-2-222-12i2i−2i−2i−2i−2i2i2i-22-2222-1-1-21-2-211-212-1-1-1-111-1112i2i−i−i−2i−2iii−2i−2iii2i2i−i−i-2-21122-1-11111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i0000000000000000000000000000−333−30000i3−i3−i3i3
χ41222-2-2-2-222-1−2i−2i2i2i2i2i−2i−2i-22-2222-1-1-21-2-211-212-1-1-1-111-111−2i−2iii2i2i−i−i2i2i−i−i−2i−2iii-2-21122-1-11111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii00000000000000000000000000003−3−330000i3−i3−i3i3
χ42222-2-2-2-222-1−2i−2i2i2i2i2i−2i−2i-22-2222-1-1-21-2-211-212-1-1-1-111-111−2i−2iii2i2i−i−i2i2i−i−i−2i−2iii-2-21122-1-11111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii0000000000000000000000000000−333−30000−i3i3i3−i3
χ43222-2-2-2-222-1−2i−2i−2i−2i2i2i2i2i2-22-222-1-1-21-2-211-212-1-1-1-111-111−2i−2iii−2i−2iii2i2i−i−i2i2i−i−i22-1-1-2-211-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i0000000000000000002i−2i00-220000−i−iii000011-1-1
χ44222-2-2-2-222-1−2i−2i−2i−2i2i2i2i2i2-22-222-1-1-21-2-211-212-1-1-1-111-111−2i−2iii−2i−2iii2i2i−i−i2i2i−i−i22-1-1-2-211-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i000000000000000000−2i2i002-20000ii−i−i0000-1-111
χ45222-2-2-2-22-122i2i2i2i−2i−2i−2i−2i2-22-2-1-1221-211-2-21-2-12-1-1-111-111−i−i2i2i−i−i2i2iii−2i−2iii−2i−2i-1-12211-2-2-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii00000000000000002i−2i002-200−i−iii0000-1-1110000
χ46222-2-2-2-22-122i2i2i2i−2i−2i−2i−2i2-22-2-1-1221-211-2-21-2-12-1-1-111-111−i−i2i2i−i−i2i2iii−2i−2iii−2i−2i-1-12211-2-2-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii0000000000000000−2i2i00-2200ii−i−i000011-1-10000
χ47222-2-2-2-22-122i2i−2i−2i−2i−2i2i2i-22-22-1-1221-211-2-21-2-12-1-1-111-111−i−i2i2iii−2i−2iii−2i−2i−i−i2i2i11-2-2-1-1221111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i0000000000000000000000003−3−330000−i3i3i3−i30000
χ48222-2-2-2-22-122i2i−2i−2i−2i−2i2i2i-22-22-1-1221-211-2-21-2-12-1-1-111-111−i−i2i2iii−2i−2iii−2i−2i−i−i2i2i11-2-2-1-1221111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i000000000000000000000000−333−30000i3−i3−i3i30000
χ49222-2-2-2-22-12−2i−2i2i2i2i2i−2i−2i-22-22-1-1221-211-2-21-2-12-1-1-111-111ii−2i−2i−i−i2i2i−i−i2i2iii−2i−2i11-2-2-1-1221111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii0000000000000000000000003−3−330000i3−i3−i3i30000
χ50222-2-2-2-22-12−2i−2i2i2i2i2i−2i−2i-22-22-1-1221-211-2-21-2-12-1-1-111-111ii−2i−2i−i−i2i2i−i−i2i2iii−2i−2i11-2-2-1-1221111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii000000000000000000000000−333−30000−i3i3i3−i30000
χ51222-2-2-2-22-12−2i−2i−2i−2i2i2i2i2i2-22-2-1-1221-211-2-21-2-12-1-1-111-111ii−2i−2iii−2i−2i−i−i2i2i−i−i2i2i-1-12211-2-2-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i00000000000000002i−2i00-2200−i−iii000011-1-10000
χ52222-2-2-2-22-12−2i−2i−2i−2i2i2i2i2i2-22-2-1-1221-211-2-21-2-12-1-1-111-111ii−2i−2iii−2i−2i−i−i2i2i−i−i2i2i-1-12211-2-2-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i0000000000000000−2i2i002-200ii−i−i0000-1-1110000
χ5322-222-2-2-222002-2002-200002-22-2222-22-2-2-2-2-222-22-2-22-200002-22-200002-22-20000000000000000000022-2-2000022-2-222−2−222−2−222−2−222−2−2000000000000000000000000
χ5422-222-2-2-222002-2002-200002-22-2222-22-2-2-2-2-222-22-2-22-200002-22-200002-22-20000000000000000000022-2-2000022-2-2−2−222−2−222−2−222−2−222000000000000000000000000
χ5522-222-2-2-22200-2200-2200002-22-2222-22-2-2-2-2-222-22-2-22-20000-22-220000-22-2200000000000000000000-2-2220000-2-22222−2−222−2−2−2−222−2−222000000000000000000000000
χ5622-222-2-2-22200-2200-2200002-22-2222-22-2-2-2-2-222-22-2-22-20000-22-220000-22-2200000000000000000000-2-2220000-2-222−2−222−2−22222−2−222−2−2000000000000000000000000
χ5722-2-2-222-222002i−2i00−2i2i00002-22-2-2-2-22-2222-2-222-2-22-2-2200002i−2i2i−2i0000−2i2i−2i2i000000000000000000002i2i−2i−2i0000−2i−2i2i2i22−2−2−2−222i2i2−i2−i2−i2−i2i2i2000000000000000000000000
χ5822-2-2-222-222002i−2i00−2i2i00002-22-2-2-2-22-2222-2-222-2-22-2-2200002i−2i2i−2i0000−2i2i−2i2i000000000000000000002i2i−2i−2i0000−2i−2i2i2i−2−22222−2−2−i2−i2i2i2i2i2−i2−i2000000000000000000000000
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Here i is the imaginary unit (i² = −1).