Finite Group Databasebeta

← Group #11788077

Character table — Group #11788077

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222222222222222222222224444444444444444444444444444444444444444444444444444444418181818181818181818181818181818242424242424242424242424242424242424242424242424
order12222222222233444444446666666666666636666666666666666666666612121212121212121212121212121212121212121212121212121212121212128888888888888888224444446666121212121212121212121212
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
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ511111111-1-1-1-111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1
χ611111111-1-1-1-111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111
χ711111111-1-1-1-111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ811111111-1-1-1-111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ911-1-111-1-111-1-11111-111-1-1-111-1-11-1-1-1-111-1-11111-1-111-1-111-1-1-1-11111-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-11-1i−ii−i11-1-111-1-1ii−i−iii−i−i
χ1011-1-111-1-111-1-11111-111-1-1-111-1-11-1-1-1-111-1-11111-1-111-1-111-1-1-1-11111-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11−ii−ii-1-111-1-111−i−iii−i−iii
χ1111-1-111-1-111-1-11111-111-1-1-111-1-11-1-1-1-111-1-11111-1-111-1-111-1-1-1-11111-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-11-1−ii−ii11-1-111-1-1−i−iii−i−iii
χ1211-1-111-1-111-1-11111-111-1-1-111-1-11-1-1-1-111-1-11111-1-111-1-111-1-1-1-11111-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11i−ii−i-1-111-1-111ii−i−iii−i−i
χ1311-1-111-1-1-1-1111111-1-1-111-111-1-11-1-1-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1-1-11i−i−ii11-1-1-1-111ii−i−i−i−iii
χ1411-1-111-1-1-1-1111111-1-1-111-111-1-11-1-1-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-111-1−iii−i-1-11111-1-1−i−iiiii−i−i
χ1511-1-111-1-1-1-1111111-1-1-111-111-1-11-1-1-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1-1-11−iii−i11-1-1-1-111−i−iiiii−i−i
χ1611-1-111-1-1-1-1111111-1-1-111-111-1-11-1-1-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-111-1i−i−ii-1-11111-1-1ii−i−i−i−iii
χ1722222222222222-2-2-2-2-2-2-2-222222222222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ182222222222222-1222222222222-1-1-1-1-12-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000022220000-1-1-1-1-1-1-1-100000000
χ192222222222222-1222222222222-1-1-1-1-12-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-200001111111100000000
χ202222222222222-1-2-2-2-2-2-2-2-22222-1-1-1-1-12-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211-2-211-2-211-2-2111111111111111111000000000000000000000000−i3i3−i3i3−i3i3−i3i300000000
χ212222222222222-1-2-2-2-2-2-2-2-22222-1-1-1-1-12-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211-2-211-2-211-2-2111111111111111111000000000000000000000000i3−i3i3−i3i3−i3i3−i300000000
χ22222222222222-1222222222-1-1-1-122222-12-1-12-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000222200000000-1-1-1-1-1-1-1-1
χ23222222222222-1222222222-1-1-1-122222-12-1-12-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000-2-2-2-20000000011111111
χ24222222222222-12-2-2-2-2-2-2-2-2-1-1-1-122222-12-1-12-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-2-211-2-211-2-211-2-2111111111111111100000000000000000000000000000000−i3i3−i3i3−i3i3−i3i3
χ25222222222222-12-2-2-2-2-2-2-2-2-1-1-1-122222-12-1-12-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-2-211-2-211-2-211-2-2111111111111111100000000000000000000000000000000i3−i3i3−i3i3−i3i3−i3
χ2622222222-2-2-2-222-2-2-22222-2222222222222222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-22-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000
χ2722222222-2-2-2-22-1222-2-2-2-222222-1-1-1-1-12-122-1-1-2-2-2-21111-1-1-1-1-1-111111111-122-1-122-1-1-2-211-2-211-1-1-1-1-1-1-1-111111111000000000000000022-2-20000-1-1-1-1111100000000
χ2822222222-2-2-2-22-1222-2-2-2-222222-1-1-1-1-12-122-1-1-2-2-2-21111-1-1-1-1-1-111111111-122-1-122-1-1-2-211-2-211-1-1-1-1-1-1-1-1111111110000000000000000-2-22200001111-1-1-1-100000000
χ2922222222-2-2-2-22-1-2-2-22222-22222-1-1-1-1-12-122-1-1-2-2-2-21111-1-1-1-1-1-111111111-1-2-211-2-21122-1-122-1-111111111-1-1-1-1-1-1-1-1000000000000000000000000−i3i3−i3i3i3−i3i3−i300000000
χ3022222222-2-2-2-22-1-2-2-22222-22222-1-1-1-1-12-122-1-1-2-2-2-21111-1-1-1-1-1-111111111-1-2-211-2-21122-1-122-1-111111111-1-1-1-1-1-1-1-1000000000000000000000000i3−i3i3−i3−i3i3−i3i300000000
χ3122222222-2-2-2-2-12222-2-2-2-22-1-1-1-122222-12-1-12-11111-2-2-2-2-1-1-1-1-1-111111111-1-1-122-1-12211-2-211-2-2-1-1-1-1-1-1-1-1111111110000000000000000000022-2-200000000-1-1-1-11111
χ3222222222-2-2-2-2-12222-2-2-2-22-1-1-1-122222-12-1-12-11111-2-2-2-2-1-1-1-1-1-111111111-1-1-122-1-12211-2-211-2-2-1-1-1-1-1-1-1-11111111100000000000000000000-2-222000000001111-1-1-1-1
χ3322222222-2-2-2-2-12-2-2-22222-2-1-1-1-122222-12-1-12-11111-2-2-2-2-1-1-1-1-1-111111111-111-2-211-2-2-1-122-1-12211111111-1-1-1-1-1-1-1-100000000000000000000000000000000−i3i3−i3i3i3−i3i3−i3
χ3422222222-2-2-2-2-12-2-2-22222-2-1-1-1-122222-12-1-12-11111-2-2-2-2-1-1-1-1-1-111111111-111-2-211-2-2-1-122-1-12211111111-1-1-1-1-1-1-1-100000000000000000000000000000000i3−i3i3−i3−i3i3−i3i3
χ35222-2-2-22-20000220002i−2i2i−2i02-22-2222-2-2-2-22-2-22000000002-222-2-200000000-2000000002i−2i2i−2i2i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i22−2−222−2−2−i2−i2i2i2−i2−i2i2i2000000000000000000000000
χ36222-2-2-22-20000220002i−2i2i−2i02-22-2222-2-2-2-22-2-22000000002-222-2-200000000-2000000002i−2i2i−2i2i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i−2−222−2−222i2i2−i2−i2i2i2−i2−i2000000000000000000000000
χ37222-2-2-22-2000022000−2i2i−2i2i02-22-2222-2-2-2-22-2-22000000002-222-2-200000000-200000000−2i2i−2i2i−2i2i−2i2i00000000−2i−2i2i2i−2i−2i2i2i22−2−222−2−2i2i2−i2−i2i2i2−i2−i2000000000000000000000000
χ38222-2-2-22-2000022000−2i2i−2i2i02-22-2222-2-2-2-22-2-22000000002-222-2-200000000-200000000−2i2i−2i2i−2i2i−2i2i00000000−2i−2i2i2i−2i−2i2i2i−2−222−2−222−i2−i2i2i2−i2−i2i2i2000000000000000000000000
χ3922-22-2-2-220000220002i−2i−2i2i02-2-222-2-222-2-2-22-22000000002-2-2-22200000000-2000000002i−2i2i−2i−2i2i−2i2i000000002i2i−2i−2i−2i−2i2i2i−i2−i2i2i2i2i2−i2−i2−2−22222−2−2000000000000000000000000
χ4022-22-2-2-220000220002i−2i−2i2i02-2-222-2-222-2-2-22-22000000002-2-2-22200000000-2000000002i−2i2i−2i−2i2i−2i2i000000002i2i−2i−2i−2i−2i2i2ii2i2−i2−i2−i2−i2i2i222−2−2−2−222000000000000000000000000
χ4122-22-2-2-22000022000−2i2i2i−2i02-2-222-2-222-2-2-22-22000000002-2-2-22200000000-200000000−2i2i−2i2i2i−2i2i−2i00000000−2i−2i2i2i2i2i−2i−2i−i2−i2i2i2i2i2−i2−i222−2−2−2−222000000000000000000000000
χ4222-22-2-2-22000022000−2i2i2i−2i02-2-222-2-222-2-2-22-22000000002-2-2-22200000000-200000000−2i2i−2i2i2i−2i2i−2i00000000−2i−2i2i2i2i2i−2i−2ii2i2−i2−i2−i2−i2i2i2−2−22222−2−2000000000000000000000000
χ4322-2-222-2-222-2-222-2-22-2-222222-2-22-2-2-2-222-2-22222-2-222-2-222-2-2-2-22222-2-2-2-22-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-222220000000000000000000000000000000000000000
χ4422-2-222-2-222-2-22-122-222-2-2-222-2-2-111112-1-2-2-1-122-2-2-1-111-1-11111-1-1-1-11111-122-1-1-2-21122-1-1-2-211-1-1-1-11111-1-1-1-1111100000000000000002-22-20000-1-111-1-11100000000
χ4522-2-222-2-222-2-22-122-222-2-2-222-2-2-111112-1-2-2-1-122-2-2-1-111-1-11111-1-1-1-11111-122-1-1-2-21122-1-1-2-211-1-1-1-11111-1-1-1-111110000000000000000-22-22000011-1-111-1-100000000
χ4622-2-222-2-222-2-22-1-2-22-2-222222-2-2-111112-1-2-2-1-122-2-2-1-111-1-11111-1-1-1-11111-1-2-21122-1-1-2-21122-1-11111-1-1-1-11111-1-1-1-1000000000000000000000000−i3i3i3−i3−i3i3i3−i300000000
χ4722-2-222-2-222-2-22-1-2-22-2-222222-2-2-111112-1-2-2-1-122-2-2-1-111-1-11111-1-1-1-11111-1-2-21122-1-1-2-21122-1-11111-1-1-1-11111-1-1-1-1000000000000000000000000i3−i3−i3i3i3−i3−i3i300000000
χ4822-2-222-2-222-2-2-1222-222-2-2-2-1-1112-2-2-2-2-12112-1-1-11122-2-2-1-11111-1-1-1-11111-1-1-12211-2-2-1-12211-2-2-1-1-1-11111-1-1-1-11111000000000000000000002i−2i2i−2i00000000−i−iii−i−iii
χ4922-2-222-2-222-2-2-1222-222-2-2-2-1-1112-2-2-2-2-12112-1-1-11122-2-2-1-11111-1-1-1-11111-1-1-12211-2-2-1-12211-2-2-1-1-1-11111-1-1-1-1111100000000000000000000−2i2i−2i2i00000000ii−i−iii−i−i
χ5022-2-222-2-222-2-2-12-2-22-2-2222-1-1112-2-2-2-2-12112-1-1-11122-2-2-1-11111-1-1-1-11111-111-2-2-1-12211-2-2-1-1221111-1-1-1-11111-1-1-1-1000000000000000000000000000000003−3−333−3−33
χ5122-2-222-2-222-2-2-12-2-22-2-2222-1-1112-2-2-2-2-12112-1-1-11122-2-2-1-11111-1-1-1-11111-111-2-2-1-12211-2-2-1-1221111-1-1-1-11111-1-1-1-100000000000000000000000000000000−333−3−333−3
χ5222-2-222-2-2-2-22222-2-2222-2-2222-2-22-2-2-2-222-2-222-2-222-2-22222-2-2-2-2-2-2-2-222222-2-2-2-222222222-2-2-2-2-2-2-2-222222222-2-2-2-20000000000000000000000000000000000000000
χ5322-2-222-2-2-2-2222-122-2-2-222-222-2-2-111112-1-2-2-1-1-2-22211-1-1-1-111111111-1-1-1-1-122-1-1-2-211-2-21122-1-1-1-1-1-111111111-1-1-1-100000000000000002-2-220000-1-11111-1-100000000
χ5422-2-222-2-2-2-2222-122-2-2-222-222-2-2-111112-1-2-2-1-1-2-22211-1-1-1-111111111-1-1-1-1-122-1-1-2-211-2-21122-1-1-1-1-1-111111111-1-1-1-10000000000000000-222-2000011-1-1-1-11100000000
χ5522-2-222-2-2-2-2222-1-2-2222-2-2222-2-2-111112-1-2-2-1-1-2-22211-1-1-1-111111111-1-1-1-1-1-2-21122-1-122-1-1-2-2111111-1-1-1-1-1-1-1-11111000000000000000000000000−i3i3i3−i3i3−i3−i3i300000000
χ5622-2-222-2-2-2-2222-1-2-2222-2-2222-2-2-111112-1-2-2-1-1-2-22211-1-1-1-111111111-1-1-1-1-1-2-21122-1-122-1-1-2-2111111-1-1-1-1-1-1-1-11111000000000000000000000000i3−i3−i3i3−i3i3i3−i300000000
χ5722-2-222-2-2-2-222-1222-2-2-222-2-1-1112-2-2-2-2-12112-111-1-1-2-222-1-111111111-1-1-1-1-1-1-12211-2-211-2-2-1-122-1-1-1-111111111-1-1-1-1000000000000000000002i−2i−2i2i00000000−i−iiiii−i−i
χ5822-2-222-2-2-2-222-1222-2-2-222-2-1-1112-2-2-2-2-12112-111-1-1-2-222-1-111111111-1-1-1-1-1-1-12211-2-211-2-2-1-122-1-1-1-111111111-1-1-1-100000000000000000000−2i2i2i−2i00000000ii−i−i−i−iii
χ5922-2-222-2-2-2-222-12-2-2222-2-22-1-1112-2-2-2-2-12112-111-1-1-2-222-1-111111111-1-1-1-1-111-2-2-1-122-1-12211-2-21111-1-1-1-1-1-1-1-11111000000000000000000000000000000003−3−33−333−3
χ6022-2-222-2-2-2-222-12-2-2222-2-22-1-1112-2-2-2-2-12112-111-1-1-2-222-1-111111111-1-1-1-1-111-2-2-1-122-1-12211-2-21111-1-1-1-1-1-1-1-1111100000000000000000000000000000000−333−33−3−33
χ612-222-22-2-22-22-22200000000-2222-22-22-2-2-2-2-2222-22-22-22-2-222-22-222-2-222-2-2-200000000000000000000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000000000000000000000
χ622-222-22-2-22-22-22200000000-2222-22-22-2-2-2-2-2222-22-22-22-2-222-22-222-2-222-2-2-200000000000000000000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000000000000000000000
χ632-222-22-2-2-22-222200000000-2222-22-22-2-2-2-2-222-22-22-22-22-222-22-2-2-222-2-222-200000000000000000000000000000000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2000000000000000000000000
χ642-222-22-2-2-22-222200000000-2222-22-22-2-2-2-2-222-22-22-22-22-222-22-2-2-222-2-222-200000000000000000000000000000000i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2000000000000000000000000
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χ1224-4-444-44-40000-2-24-4-400004222-222-2-22-2-2-222100000000-1-1-111-1-333-33-3-331-22-222-22-20000000011-1-1-1-111-333-33-3-330000000000000000000000000000000000000000
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χ1254-4-4-4-44444-4-444-200000000-44-4-422-22-2-4244-2-24-4-44-222-22-22-22-2-2-22222-2-22000000000000000000000000000000000000000000000000000000000000000000000000
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χ1284-4-4-4-44444-4-44-2-2000000002-22222-22-222-2-2-21-222-2-222-2-11-11-1111-1-1-1-111-10000000000000000−3i3i3i−3i3i−3i−3i3i−3i3i−3i3i3i−3i3i−3i0000000000000000000000000000000000000000
χ1294-4-4-4-4444-444-44-200000000-44-4-422-22-2-4244-2-2-444-42-2-222-22-22-222-2-2-2-2222000000000000000000000000000000000000000000000000000000000000000000000000
χ1304-4-4-4-4444-444-4-24000000002-222-4-44-442-4-2-24-22-2-22-444-42-22-22-222-2-2-2-2222000000000000000000000000000000000000000000000000000000000000000000000000
χ1314-4-4-4-4444-444-4-2-2000000002-22222-22-222-2-2-212-2-222-2-22-11-11-11-1-11111-1-1-100000000000000003i−3i−3i3i−3i3i3i−3i−3i3i−3i3i3i−3i3i−3i0000000000000000000000000000000000000000
χ1324-4-4-4-4444-444-4-2-2000000002-22222-22-222-2-2-212-2-222-2-22-11-11-11-1-11111-1-1-10000000000000000−3i3i3i−3i3i−3i−3i3i3i−3i3i−3i−3i3i−3i3i0000000000000000000000000000000000000000

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