Finite Group Databasebeta

← Group #11861515

Character table — Group #11861515

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150
size1111222222224444666666666666181811112222222244446666666666661818222244444444888812121212121212121212121236362222444444448888121212121212121212121212363622224444444488881212121212121212121212123636
order1244336612121212361212888824242424242424242422446666121212126612128888242424242424242424444412121212121212121212121288882424242424242424444444121212121212121212121212888824242424242424244444441212121212121212121212128888242424242424242444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111-1-11111-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1
χ31111111111111111-1-111-1-1-1-11111-1-11111111111111111-1-111-1-1-1-11111-1-11111111111111111-1-111-1-1-1-11111-1-11111111111111111-1-111-1-1-1-11111-1-11111111111111111-1-111-1-1-1-11111-1-1
χ41111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ511-1-11111-1-1-1-111-1-1i−ii−iii−i−iii−i−i1-111-1-11111-1-1-1-111-1-1i−ii−iii−i−iii−i−i1-111-1-11111-1-1-1-111-1-1i−ii−iii−i−iii−i−i1-111-1-11111-1-1-1-111-1-1i−ii−iii−i−iii−i−i1-111-1-11111-1-1-1-111-1-1i−ii−iii−i−iii−i−i1-1
χ611-1-11111-1-1-1-111-1-1i−i−iiii−i−i−i−iii-1111-1-11111-1-1-1-111-1-1i−i−iiii−i−i−i−iii-1111-1-11111-1-1-1-111-1-1i−i−iiii−i−i−i−iii-1111-1-11111-1-1-1-111-1-1i−i−iiii−i−i−i−iii-1111-1-11111-1-1-1-111-1-1i−i−iiii−i−i−i−iii-11
χ711-1-11111-1-1-1-111-1-1−iii−i−i−iiiii−i−i-1111-1-11111-1-1-1-111-1-1−iii−i−i−iiiii−i−i-1111-1-11111-1-1-1-111-1-1−iii−i−i−iiiii−i−i-1111-1-11111-1-1-1-111-1-1−iii−i−i−iiiii−i−i-1111-1-11111-1-1-1-111-1-1−iii−i−i−iiiii−i−i-11
χ811-1-11111-1-1-1-111-1-1−ii−ii−i−iii−i−iii1-111-1-11111-1-1-1-111-1-1−ii−ii−i−iii−i−iii1-111-1-11111-1-1-1-111-1-1−ii−ii−i−iii−i−iii1-111-1-11111-1-1-1-111-1-1−ii−ii−i−iii−i−iii1-111-1-11111-1-1-1-111-1-1−ii−ii−i−iii−i−iii1-1
χ922222-12-122-1-1-1-1-1-100220000-1-1-1-10022222-12-122-1-1-1-1-1-100220000-1-1-1-10022222-12-122-1-1-1-1-1-100220000-1-1-1-10022222-12-122-1-1-1-1-1-100220000-1-1-1-10022222-12-122-1-1-1-1-1-100220000-1-1-1-100
χ1022222-12-122-1-1-1-1-1-100-2-2000011110022222-12-122-1-1-1-1-1-100-2-2000011110022222-12-122-1-1-1-1-1-100-2-2000011110022222-12-122-1-1-1-1-1-100-2-2000011110022222-12-122-1-1-1-1-1-100-2-20000111100
χ112222-12-12-1-122-1-1-1-12200-1-1-1-10000002222-12-12-1-122-1-1-1-12200-1-1-1-10000002222-12-12-1-122-1-1-1-12200-1-1-1-10000002222-12-12-1-122-1-1-1-12200-1-1-1-10000002222-12-12-1-122-1-1-1-12200-1-1-1-1000000
χ122222-12-12-1-122-1-1-1-1-2-20011110000002222-12-12-1-122-1-1-1-1-2-20011110000002222-12-12-1-122-1-1-1-1-2-20011110000002222-12-12-1-122-1-1-1-1-2-20011110000002222-12-12-1-122-1-1-1-1-2-2001111000000
χ1322-2-22-12-1-2-211-1-111002i−2i0000−i−iii0022-2-22-12-1-2-211-1-111002i−2i0000−i−iii0022-2-22-12-1-2-211-1-111002i−2i0000−i−iii0022-2-22-12-1-2-211-1-111002i−2i0000−i−iii0022-2-22-12-1-2-211-1-111002i−2i0000−i−iii00
χ1422-2-22-12-1-2-211-1-11100−2i2i0000ii−i−i0022-2-22-12-1-2-211-1-11100−2i2i0000ii−i−i0022-2-22-12-1-2-211-1-11100−2i2i0000ii−i−i0022-2-22-12-1-2-211-1-11100−2i2i0000ii−i−i0022-2-22-12-1-2-211-1-11100−2i2i0000ii−i−i00
χ1522-2-2-12-1211-2-2-1-1112i−2i00−i−iii00000022-2-2-12-1211-2-2-1-1112i−2i00−i−iii00000022-2-2-12-1211-2-2-1-1112i−2i00−i−iii00000022-2-2-12-1211-2-2-1-1112i−2i00−i−iii00000022-2-2-12-1211-2-2-1-1112i−2i00−i−iii000000
χ1622-2-2-12-1211-2-2-1-111−2i2i00ii−i−i00000022-2-2-12-1211-2-2-1-111−2i2i00ii−i−i00000022-2-2-12-1211-2-2-1-111−2i2i00ii−i−i00000022-2-2-12-1211-2-2-1-111−2i2i00ii−i−i00000022-2-2-12-1211-2-2-1-111−2i2i00ii−i−i000000
χ172-22i−2i22-2-22i−2i2i−2i2-22i−2i000000000000002-22i−2i22-2-22i−2i2i−2i2-22i−2i000000000000002-22i−2i22-2-22i−2i2i−2i2-22i−2i000000000000002-22i−2i22-2-22i−2i2i−2i2-22i−2i000000000000002-22i−2i22-2-22i−2i2i−2i2-22i−2i00000000000000
χ182-22i−2i2-1-212i−2i−ii-11−ii00000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23002-22i−2i2-1-212i−2i−ii-11−ii00000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23002-22i−2i2-1-212i−2i−ii-11−ii00000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23002-22i−2i2-1-212i−2i−ii-11−ii00000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23002-22i−2i2-1-212i−2i−ii-11−ii00000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300
χ192-22i−2i2-1-212i−2i−ii-11−ii00000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23002-22i−2i2-1-212i−2i−ii-11−ii00000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23002-22i−2i2-1-212i−2i−ii-11−ii00000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23002-22i−2i2-1-212i−2i−ii-11−ii00000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23002-22i−2i2-1-212i−2i−ii-11−ii00000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300
χ202-22i−2i-121-2−ii2i−2i-11−ii0000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000002-22i−2i-121-2−ii2i−2i-11−ii0000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000002-22i−2i-121-2−ii2i−2i-11−ii0000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000002-22i−2i-121-2−ii2i−2i-11−ii0000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000002-22i−2i-121-2−ii2i−2i-11−ii0000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000000
χ212-22i−2i-121-2−ii2i−2i-11−ii0000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000002-22i−2i-121-2−ii2i−2i-11−ii0000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000002-22i−2i-121-2−ii2i−2i-11−ii0000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000002-22i−2i-121-2−ii2i−2i-11−ii0000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000002-22i−2i-121-2−ii2i−2i-11−ii0000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000000
χ222-2−2i2i22-2-2−2i2i−2i2i2-2−2i2i000000000000002-2−2i2i22-2-2−2i2i−2i2i2-2−2i2i000000000000002-2−2i2i22-2-2−2i2i−2i2i2-2−2i2i000000000000002-2−2i2i22-2-2−2i2i−2i2i2-2−2i2i000000000000002-2−2i2i22-2-2−2i2i−2i2i2-2−2i2i00000000000000
χ232-2−2i2i2-1-21−2i2ii−i-11i−i00000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13002-2−2i2i2-1-21−2i2ii−i-11i−i00000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13002-2−2i2i2-1-21−2i2ii−i-11i−i00000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13002-2−2i2i2-1-21−2i2ii−i-11i−i00000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13002-2−2i2i2-1-21−2i2ii−i-11i−i00000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300
χ242-2−2i2i2-1-21−2i2ii−i-11i−i00000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13002-2−2i2i2-1-21−2i2ii−i-11i−i00000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13002-2−2i2i2-1-21−2i2ii−i-11i−i00000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13002-2−2i2i2-1-21−2i2ii−i-11i−i00000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13002-2−2i2i2-1-21−2i2ii−i-11i−i00000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300
χ252-2−2i2i-121-2i−i−2i2i-11i−i0000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000002-2−2i2i-121-2i−i−2i2i-11i−i0000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000002-2−2i2i-121-2i−i−2i2i-11i−i0000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000002-2−2i2i-121-2i−i−2i2i-11i−i0000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000002-2−2i2i-121-2i−i−2i2i-11i−i0000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000000
χ262-2−2i2i-121-2i−i−2i2i-11i−i0000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000002-2−2i2i-121-2i−i−2i2i-11i−i0000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000002-2−2i2i-121-2i−i−2i2i-11i−i0000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000002-2−2i2i-121-2i−i−2i2i-11i−i0000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000002-2−2i2i-121-2i−i−2i2i-11i−i0000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000
χ274444-2-2-2-2-2-2-2-21111000000000000004444-2-2-2-2-2-2-2-21111000000000000004444-2-2-2-2-2-2-2-21111000000000000004444-2-2-2-2-2-2-2-21111000000000000004444-2-2-2-2-2-2-2-2111100000000000000
χ2844-4-4-2-2-2-2222211-1-10000000000000044-4-4-2-2-2-2222211-1-10000000000000044-4-4-2-2-2-2222211-1-10000000000000044-4-4-2-2-2-2222211-1-10000000000000044-4-4-2-2-2-2222211-1-100000000000000
χ294-44i−4i-2-222−2i2i−2i2i1-1i−i000000000000004-44i−4i-2-222−2i2i−2i2i1-1i−i000000000000004-44i−4i-2-222−2i2i−2i2i1-1i−i000000000000004-44i−4i-2-222−2i2i−2i2i1-1i−i000000000000004-44i−4i-2-222−2i2i−2i2i1-1i−i00000000000000
χ304-4−4i4i-2-2222i−2i2i−2i1-1−ii000000000000004-4−4i4i-2-2222i−2i2i−2i1-1−ii000000000000004-4−4i4i-2-2222i−2i2i−2i1-1−ii000000000000004-4−4i4i-2-2222i−2i2i−2i1-1−ii000000000000004-4−4i4i-2-2222i−2i2i−2i1-1−ii00000000000000
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ32111111111111111111-1-11111-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ331111111111111111-1-111-1-1-1-11111-1-11111111111111111-1-111-1-1-1-11111-1-11111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
χ341111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ3511-1-11111-1-1-1-111-1-1i−ii−iii−i−iii−i−i1-111-1-11111-1-1-1-111-1-1i−ii−iii−i−iii−i−i1-111-1-11111-1-1-1-111-1-1i−ii−iii−i−iii−i−i1-1-1-111-1-1-1-11111-1-111−ii−ii−i−iii−i−iii-11-1-111-1-1-1-11111-1-111−ii−ii−i−iii−i−iii-11
χ3611-1-11111-1-1-1-111-1-1i−i−iiii−i−i−i−iii-1111-1-11111-1-1-1-111-1-1i−i−iiii−i−i−i−iii-1111-1-11111-1-1-1-111-1-1i−i−iiii−i−i−i−iii-11-1-111-1-1-1-11111-1-111−iii−i−i−iiiii−i−i1-1-1-111-1-1-1-11111-1-111−iii−i−i−iiiii−i−i1-1
χ3711-1-11111-1-1-1-111-1-1−iii−i−i−iiiii−i−i-1111-1-11111-1-1-1-111-1-1−iii−i−i−iiiii−i−i-1111-1-11111-1-1-1-111-1-1−iii−i−i−iiiii−i−i-11-1-111-1-1-1-11111-1-111i−i−iiii−i−i−i−iii1-1-1-111-1-1-1-11111-1-111i−i−iiii−i−i−i−iii1-1
χ3811-1-11111-1-1-1-111-1-1−ii−ii−i−iii−i−iii1-111-1-11111-1-1-1-111-1-1−ii−ii−i−iii−i−iii1-111-1-11111-1-1-1-111-1-1−ii−ii−i−iii−i−iii1-1-1-111-1-1-1-11111-1-111i−ii−iii−i−iii−i−i-11-1-111-1-1-1-11111-1-111i−ii−iii−i−iii−i−i-11
χ3922222-12-122-1-1-1-1-1-100220000-1-1-1-10022222-12-122-1-1-1-1-1-100220000-1-1-1-10022222-12-122-1-1-1-1-1-100220000-1-1-1-100-2-2-2-2-21-21-2-211111100-2-20000111100-2-2-2-2-21-21-2-211111100-2-20000111100
χ4022222-12-122-1-1-1-1-1-100-2-2000011110022222-12-122-1-1-1-1-1-100-2-2000011110022222-12-122-1-1-1-1-1-100-2-20000111100-2-2-2-2-21-21-2-211111100220000-1-1-1-100-2-2-2-2-21-21-2-211111100220000-1-1-1-100
χ412222-12-12-1-122-1-1-1-12200-1-1-1-10000002222-12-12-1-122-1-1-1-12200-1-1-1-10000002222-12-12-1-122-1-1-1-12200-1-1-1-1000000-2-2-2-21-21-211-2-21111-2-2001111000000-2-2-2-21-21-211-2-21111-2-2001111000000
χ422222-12-12-1-122-1-1-1-1-2-20011110000002222-12-12-1-122-1-1-1-1-2-20011110000002222-12-12-1-122-1-1-1-1-2-2001111000000-2-2-2-21-21-211-2-211112200-1-1-1-1000000-2-2-2-21-21-211-2-211112200-1-1-1-1000000
χ4322-2-22-12-1-2-211-1-111002i−2i0000−i−iii0022-2-22-12-1-2-211-1-111002i−2i0000−i−iii0022-2-22-12-1-2-211-1-111002i−2i0000−i−iii00-2-222-21-2122-1-111-1-100−2i2i0000ii−i−i00-2-222-21-2122-1-111-1-100−2i2i0000ii−i−i00
χ4422-2-22-12-1-2-211-1-11100−2i2i0000ii−i−i0022-2-22-12-1-2-211-1-11100−2i2i0000ii−i−i0022-2-22-12-1-2-211-1-11100−2i2i0000ii−i−i00-2-222-21-2122-1-111-1-1002i−2i0000−i−iii00-2-222-21-2122-1-111-1-1002i−2i0000−i−iii00
χ4522-2-2-12-1211-2-2-1-1112i−2i00−i−iii00000022-2-2-12-1211-2-2-1-1112i−2i00−i−iii00000022-2-2-12-1211-2-2-1-1112i−2i00−i−iii000000-2-2221-21-2-1-12211-1-1−2i2i00ii−i−i000000-2-2221-21-2-1-12211-1-1−2i2i00ii−i−i000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.