Finite Group Databasebeta

← Group #11860946

Character table — Group #11860946

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size1111222222222222222222444444444444444444444444444444666666666666888888888888888812121212121212121212121212121212121212121212121212121212121212121212242424243636363636363636
order1222334444446666661212121222344666666612121212121212121212121212121212121222444444888866666612121212121212121212444444446688121212121212121212121212121224242424242424241212121222448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-11-1-1-1-1-1-111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ61111111111111111111111-1-11-1-1-1-1-1-111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ71111111111111111111111-1-11-1-1-1-1-1-111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1111111111111-1-1-1-11111-1-1-1-1
χ81111111111111111111111-1-11-1-1-1-1-1-111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ9111111-1-1-1-111111111-1-1-1-1111-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111111111-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1
χ10111111-1-1-1-111111111-1-1-1-1111-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111
χ11111111-1-1-1-111111111-1-1-1-1111-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111111111-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-111
χ12111111-1-1-1-111111111-1-1-1-1111-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-111-1-1
χ13111111-1-1-1-111111111-1-1-1-1-1-1111-1-1-1-1111-1-1-1-111-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1
χ14111111-1-1-1-111111111-1-1-1-1-1-1111-1-1-1-1111-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111
χ15111111-1-1-1-111111111-1-1-1-1-1-1111-1-1-1-1111-1-1-1-111-1-11111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-11111-1-11111-1-111-1-111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111
χ16111111-1-1-1-111111111-1-1-1-1-1-1111-1-1-1-1111-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1
χ171-11-111i−ii−i1-1-1-11-11-1ii−i−i1-11i−i11-1-11-1-1i−ii−i1-1i−iii−i−iii−i−i1-11-1i−i1-1i−i11-1-11-111-1-1i−i1-1i−iii−i−ii−i1-11-1i−i1-1i−ii−i1-111-1-1i−iii−i−i11-1-1ii−i−i1-1i−i1-1i−i1-1i−i
χ181-11-111i−ii−i1-1-1-11-11-1ii−i−i1-11i−i11-1-11-1-1i−ii−i1-1i−iii−i−iii−i−i1-11-1i−i1-1i−i-1-1111-111-1-1i−i1-1i−iii−i−ii−i1-1-11−ii1-1−iii−i1-111-1-1i−iii−i−i-1-111−i−iii-11−ii-11−ii-11−ii
χ191-11-111i−ii−i1-1-1-11-11-1ii−i−i1-11i−i11-1-11-1-1i−ii−i1-1i−iii−i−iii−i−i1-1-11−ii-11−ii11-1-11-111-1-1i−i1-1i−iii−i−i−ii-111-1i−i-11i−i−ii-11-1-111−ii−i−iii11-1-1ii−i−i1-1i−i-11−ii-11−ii
χ201-11-111i−ii−i1-1-1-11-11-1ii−i−i1-11i−i11-1-11-1-1i−ii−i1-1i−iii−i−iii−i−i1-1-11−ii-11−ii-1-1111-111-1-1i−i1-1i−iii−i−i−ii-11-11−ii-11−ii−ii-11-1-111−ii−i−iii-1-111−i−iii-11−ii1-1i−i1-1i−i
χ211-11-111i−ii−i1-1-1-11-11-1ii−i−i-111−ii-1-1111-1-1i−ii−i1-1i−i−i−iiiii−i−i1-11-1i−i1-1i−i11-1-1-11-1-111−ii1-1i−i−i−iii−ii-11-11−ii1-1i−ii−i1-1-1-111i−i−i−iii11-1-1ii−i−i-11−ii-11−ii1-1i−i
χ221-11-111i−ii−i1-1-1-11-11-1ii−i−i-111−ii-1-1111-1-1i−ii−i1-1i−i−i−iiiii−i−i1-11-1i−i1-1i−i-1-111-11-1-111−ii1-1i−i−i−iii−ii-111-1i−i1-1−iii−i1-1-1-111i−i−i−iii-1-111−i−iii1-1i−i1-1i−i-11−ii
χ231-11-111i−ii−i1-1-1-11-11-1ii−i−i-111−ii-1-1111-1-1i−ii−i1-1i−i−i−iiiii−i−i1-1-11−ii-11−ii11-1-1-11-1-111−ii1-1i−i−i−iiii−i1-1-11−ii-11i−i−ii-1111-1-1−iiii−i−i11-1-1ii−i−i-11−ii1-1i−i-11−ii
χ241-11-111i−ii−i1-1-1-11-11-1ii−i−i-111−ii-1-1111-1-1i−ii−i1-1i−i−i−iiiii−i−i1-1-11−ii-11−ii-1-111-11-1-111−ii1-1i−i−i−iiii−i1-11-1i−i-11−ii−ii-1111-1-1−iiii−i−i-1-111−i−iii1-1i−i-11−ii1-1i−i
χ251-11-111−ii−ii1-1-1-11-11-1−i−iii1-11−ii11-1-11-1-1−ii−ii1-1−ii−i−iii−i−iii1-11-1−ii1-1−ii11-1-11-111-1-1−ii1-1−ii−i−iii−ii1-11-1−ii1-1−ii−ii1-111-1-1−ii−i−iii11-1-1−i−iii1-1−ii1-1−ii1-1−ii
χ261-11-111−ii−ii1-1-1-11-11-1−i−iii1-11−ii11-1-11-1-1−ii−ii1-1−ii−i−iii−i−iii1-11-1−ii1-1−ii-1-1111-111-1-1−ii1-1−ii−i−iii−ii1-1-11i−i1-1i−i−ii1-111-1-1−ii−i−iii-1-111ii−i−i-11i−i-11i−i-11i−i
χ271-11-111−ii−ii1-1-1-11-11-1−i−iii1-11−ii11-1-11-1-1−ii−ii1-1−ii−i−iii−i−iii1-1-11i−i-11i−i11-1-11-111-1-1−ii1-1−ii−i−iiii−i-111-1−ii-11−iii−i-11-1-111i−iii−i−i11-1-1−i−iii1-1−ii-11i−i-11i−i
χ281-11-111−ii−ii1-1-1-11-11-1−i−iii1-11−ii11-1-11-1-1−ii−ii1-1−ii−i−iii−i−iii1-1-11i−i-11i−i-1-1111-111-1-1−ii1-1−ii−i−iiii−i-11-11i−i-11i−ii−i-11-1-111i−iii−i−i-1-111ii−i−i-11i−i1-1−ii1-1−ii
χ291-11-111−ii−ii1-1-1-11-11-1−i−iii-111i−i-1-1111-1-1−ii−ii1-1−iiii−i−i−i−iii1-11-1−ii1-1−ii11-1-1-11-1-111i−i1-1−iiii−i−ii−i-11-11i−i1-1−ii−ii1-1-1-111−iiii−i−i11-1-1−i−iii-11i−i-11i−i1-1−ii
χ301-11-111−ii−ii1-1-1-11-11-1−i−iii-111i−i-1-1111-1-1−ii−ii1-1−iiii−i−i−i−iii1-11-1−ii1-1−ii-1-111-11-1-111i−i1-1−iiii−i−ii−i-111-1−ii1-1i−i−ii1-1-1-111−iiii−i−i-1-111ii−i−i1-1−ii1-1−ii-11i−i
χ311-11-111−ii−ii1-1-1-11-11-1−i−iii-111i−i-1-1111-1-1−ii−ii1-1−iiii−i−i−i−iii1-1-11i−i-11i−i11-1-1-11-1-111i−i1-1−iiii−i−i−ii1-1-11i−i-11−iii−i-1111-1-1i−i−i−iii11-1-1−i−iii-11i−i1-1−ii-11i−i
χ321-11-111−ii−ii1-1-1-11-11-1−i−iii-111i−i-1-1111-1-1−ii−ii1-1−iiii−i−i−i−iii1-1-11i−i-11i−i-1-111-11-1-111i−i1-1−iiii−i−i−ii1-11-1−ii-11i−ii−i-1111-1-1i−i−i−iii-1-111ii−i−i1-1−ii-11i−i1-1−ii
χ3322222222-2-2-2-22222222222002000000222-2-2-2-2-2-22200002222-2-222-2-2-2-222000000000000-2-2-2-2000000000000220022-2-20000-2-2000000000000000000000000
χ3422222222-2-2-2-22222222222002000000222-2-2-2-2-2-22200002222-2-2-2-22222-2-2000000000000-2-2-2-2000000000000-2-200-2-222000022000000000000000000000000
χ35222222-2-222-2-2222222-2-2-2-20020000002222222-2-2-2-20000-2-2-2-2-2-22222-2-2-2-2000000000000-2-2220000000000002200-2-2-2-2000022000000000000000000000000
χ36222222-2-222-2-2222222-2-2-2-20020000002222222-2-2-2-20000-2-2-2-2-2-2-2-2-2-22222000000000000-2-222000000000000-2-20022220000-2-2000000000000000000000000
χ3722222-12222222-122-1-1222222-122-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222222222000022-1-1-1-122-1-1-1-1-1-1-1-122220000-1-100-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ3822222-12222222-122-1-1222222-122-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2000022-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-2000011001111111111111100000000000000000000
χ3922222-12222222-122-1-12222-2-2-1-2-21111-1-1-1-1-122-1-1-1-11111-1-1-1-122222222220000-2-21111-2-2-1-1-1-11111-2-2-2-20000-1-100-1-1-1-11111-1-1111100000000000000000000
χ4022222-12222222-122-1-12222-2-2-1-2-21111-1-1-1-1-122-1-1-1-11111-1-1-1-122-2-2-2-2-2-2-2-20000-2-21111-2-2-1-1-1-111112222000011001111-1-1-1-111-1-1-1-100000000000000000000
χ4122222-122-2-2-2-22-122-1-1222200-100−i3i3−i3i3-1-1-111-2-211-1-1−i3i3−i3i3-1-1-1-1-2-222-2-2-2-222000000−i3i3−i3i3001111−i3i3−i3i300000000-1-100-1-111−i3i3−i3i311−i3i3−i3i300000000000000000000
χ4222222-122-2-2-2-22-122-1-1222200-100−i3i3−i3i3-1-1-111-2-211-1-1−i3i3−i3i3-1-1-1-1-2-2-2-22222-2-2000000−i3i3−i3i3001111−i3i3−i3i300000000110011-1-1i3−i3i3−i3-1-1i3−i3i3−i300000000000000000000
χ4322222-122-2-2-2-22-122-1-1222200-100i3−i3i3−i3-1-1-111-2-211-1-1i3−i3i3−i3-1-1-1-1-2-222-2-2-2-222000000i3−i3i3−i3001111i3−i3i3−i300000000-1-100-1-111i3−i3i3−i311i3−i3i3−i300000000000000000000
χ4422222-122-2-2-2-22-122-1-1222200-100i3−i3i3−i3-1-1-111-2-211-1-1i3−i3i3−i3-1-1-1-1-2-2-2-22222-2-2000000i3−i3i3−i3001111i3−i3i3−i300000000110011-1-1−i3i3−i3i3-1-1−i3i3−i3i300000000000000000000
χ4522222-1-2-222-2-22-122-1-1-2-2-2-200-100−i3i3−i3i3-1-1-1-1-1221111i3−i3i3−i31111-2-22222-2-2-2-2000000−i3i3−i3i30011-1-1i3−i3i3−i300000000-1-1001111−i3i3−i3i3-1-1i3−i3i3−i300000000000000000000
χ4622222-1-2-222-2-22-122-1-1-2-2-2-200-100−i3i3−i3i3-1-1-1-1-1221111i3−i3i3−i31111-2-2-2-2-2-22222000000−i3i3−i3i30011-1-1i3−i3i3−i3000000001100-1-1-1-1i3−i3i3−i311−i3i3−i3i300000000000000000000
χ4722222-1-2-222-2-22-122-1-1-2-2-2-200-100i3−i3i3−i3-1-1-1-1-1221111−i3i3−i3i31111-2-22222-2-2-2-2000000i3−i3i3−i30011-1-1−i3i3−i3i300000000-1-1001111i3−i3i3−i3-1-1−i3i3−i3i300000000000000000000
χ4822222-1-2-222-2-22-122-1-1-2-2-2-200-100i3−i3i3−i3-1-1-1-1-1221111−i3i3−i3i31111-2-2-2-2-2-22222000000i3−i3i3−i30011-1-1−i3i3−i3i3000000001100-1-1-1-1−i3i3−i3i311i3−i3i3−i300000000000000000000
χ4922222-1-2-2-2-2222-122-1-1-2-2-2-222-1-2-2-1-1-1-1-1-1-111-2-2-1-111111111112222-2-222-2-2000022-1-1-1-1-2-2-1-1111111-2-2220000-1-10011-1-1-1-1-1-111111100000000000000000000
χ5022222-1-2-2-2-2222-122-1-1-2-2-2-222-1-2-2-1-1-1-1-1-1-111-2-2-1-1111111111122-2-222-2-222000022-1-1-1-1-2-2-1-111111122-2-200001100-1-1111111-1-1-1-1-1-100000000000000000000
χ5122222-1-2-2-2-2222-122-1-1-2-2-2-2-2-2-1221111-1-1-111-2-2-1-111-1-1-1-111112222-2-222-2-20000-2-2111122-1-111-1-1-1-122-2-20000-1-10011-1-1111111-1-1-1-100000000000000000000
χ5222222-1-2-2-2-2222-122-1-1-2-2-2-2-2-2-1221111-1-1-111-2-2-1-111-1-1-1-1111122-2-222-2-2220000-2-2111122-1-111-1-1-1-1-2-22200001100-1-111-1-1-1-1-1-1111100000000000000000000
χ532222-12222222-12-1-122-1-1-1-122-1222222-1-1-122-1-122222222-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100002222002200000000000000-1-1-1-1-1-1-1-1-1-1-1-100000000
χ542222-12222222-12-1-122-1-1-1-122-1222222-1-1-122-1-122222222-1-1-1-1-1-100000000-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200-2-20000000000000011111111111100000000
χ552222-12222222-12-1-122-1-1-1-1-2-2-1-2-2-2-2-2-2-1-1-122-1-12222-2-2-2-2-1-1-1-1-1-100000000222211111111-1-1-1-111110000-2-2-2-2002200000000000000-1-1-1-1-1-1-1-1111100000000
χ562222-12222222-12-1-122-1-1-1-1-2-2-1-2-2-2-2-2-2-1-1-122-1-12222-2-2-2-2-1-1-1-1-1-100000000-2-2-2-211111111-1-1-1-111110000222200-2-20000000000000011111111-1-1-1-100000000
χ572222-12-2-2-2-222-12-1-122111122-1-2-22222-1-1-1-2-21122-2-2-2-2-2-21111-1-1000000002222-1-1-1-1-1-111-1-1111111000022-2-200-2-200000000000000-1-1-1-11111-1-11100000000
χ582222-12-2-2-2-222-12-1-122111122-1-2-22222-1-1-1-2-21122-2-2-2-2-2-21111-1-100000000-2-2-2-2-1-1-1-1-1-111-1-11111110000-2-2220022000000000000001111-1-1-1-111-1-100000000
χ592222-12-2-2-2-222-12-1-1221111-2-2-122-2-2-2-2-1-1-1-2-21122-2-222221111-1-1000000002222111111-1-1-1-111-1-1-1-10000-2-22200-2-200000000000000-1-1-1-1111111-1-100000000
χ602222-12-2-2-2-222-12-1-1221111-2-2-122-2-2-2-2-1-1-1-2-21122-2-222221111-1-100000000-2-2-2-2111111-1-1-1-111-1-1-1-1000022-2-20022000000000000001111-1-1-1-1-1-11100000000
χ612-22-2222i−2i−2i2i-22-2-22-22-22i2i−2i−2i0020000002-2-2−2i2i−2i2i-222i−2i00002i2i−2i−2i-222-2−2i2i-222i−2i000000000000-22−2i2i0000000000002-2002i−2i-220000−2i2i000000000000000000000000
χ622-22-2222i−2i−2i2i-22-2-22-22-22i2i−2i−2i0020000002-2-2−2i2i−2i2i-222i−2i00002i2i−2i−2i-22-222i−2i2-2−2i2i000000000000-22−2i2i000000000000-2200−2i2i2-200002i−2i000000000000000000000000
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χ1268-8-88-4-40000004-44-444−434343−43002000000-22-200000000000023−23−23230000000000000000000000000000000000000000000000000000000000000000000000000000

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