Finite Group Databasebeta

← Group #13088919

Character table — Group #13088919

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11112222222244446666666666661818222244444444888812121212121212121212121236362222444444448888121212121212121212121212363655551010101010101010202020203030303030303030303030309090
order124433661212121236121222446666121212122451020201515303060606060153060601010202030303030606060601020510202015153030606060601530606010102020303030306060606010202244666612121212661212224466661212121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111-11-111-1-111-1-1-1-111111111111111111-11-111-1-111-1-1-1-111111111111111111-11-111-1-111-1-1-1-111111111111111111-11-111-1-111-1-1-1-1
χ31111111111111111-11-11-1-111-1-111-1-11111111111111111-11-11-1-111-1-111-1-11111111111111111-11-11-1-111-1-111-1-11111111111111111-11-11-1-111-1-111-1-1
χ41111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ511-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-1111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-1111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-1111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-11
χ611-1-11111-1-1-1-111-1-11-1-1111-1-1-1-1111-111-1-11111-1-1-1-111-1-11-1-1111-1-1-1-1111-111-1-11111-1-1-1-111-1-11-1-1111-1-1-1-1111-111-1-11111-1-1-1-111-1-11-1-1111-1-1-1-1111-1
χ711-1-11111-1-1-1-111-1-1-111-1-1-11111-1-11-111-1-11111-1-1-1-111-1-1-111-1-1-11111-1-11-111-1-11111-1-1-1-111-1-1-111-1-1-11111-1-11-111-1-11111-1-1-1-111-1-1-111-1-1-11111-1-11-1
χ811-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1111-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1111-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1111-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-11
χ922222-12-122-1-1-1-1-1-1020200-1-100-1-10022222-12-122-1-1-1-1-1-1020200-1-100-1-10022222-12-122-1-1-1-1-1-1020200-1-100-1-10022222-12-122-1-1-1-1-1-1020200-1-100-1-100
χ1022222-12-122-1-1-1-1-1-10-20-2001100110022222-12-122-1-1-1-1-1-10-20-2001100110022222-12-122-1-1-1-1-1-10-20-2001100110022222-12-122-1-1-1-1-1-10-20-20011001100
χ112222-12-12-1-122-1-1-1-12020-1-100-1-100002222-12-12-1-122-1-1-1-12020-1-100-1-100002222-12-12-1-122-1-1-1-12020-1-100-1-100002222-12-12-1-122-1-1-1-12020-1-100-1-10000
χ122222-12-12-1-122-1-1-1-1-20-2011001100002222-12-12-1-122-1-1-1-1-20-2011001100002222-12-12-1-122-1-1-1-1-20-2011001100002222-12-12-1-122-1-1-1-1-20-201100110000
χ1322-2-22-12-1-2-211-1-111020-200-1-100110022-2-22-12-1-2-211-1-111020-200-1-100110022-2-22-12-1-2-211-1-111020-200-1-100110022-2-22-12-1-2-211-1-111020-200-1-1001100
χ1422-2-22-12-1-2-211-1-1110-202001100-1-10022-2-22-12-1-2-211-1-1110-202001100-1-10022-2-22-12-1-2-211-1-1110-202001100-1-10022-2-22-12-1-2-211-1-1110-202001100-1-100
χ1522-2-2-12-1211-2-2-1-11120-20-1-10011000022-2-2-12-1211-2-2-1-11120-20-1-10011000022-2-2-12-1211-2-2-1-11120-20-1-10011000022-2-2-12-1211-2-2-1-11120-20-1-100110000
χ1622-2-2-12-1211-2-2-1-111-20201100-1-1000022-2-2-12-1211-2-2-1-111-20201100-1-1000022-2-2-12-1211-2-2-1-111-20201100-1-1000022-2-2-12-1211-2-2-1-111-20201100-1-10000
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−2i00000000000000
χ182-22i−2i2-1-212i−2i−ii-11−ii000000−i3i3003−3002-22i−2i2-1-212i−2i−ii-11−ii000000−i3i3003−3002-22i−2i2-1-212i−2i−ii-11−ii000000−i3i3003−3002-22i−2i2-1-212i−2i−ii-11−ii000000−i3i3003−300
χ192-22i−2i2-1-212i−2i−ii-11−ii000000i3−i300−33002-22i−2i2-1-212i−2i−ii-11−ii000000i3−i300−33002-22i−2i2-1-212i−2i−ii-11−ii000000i3−i300−33002-22i−2i2-1-212i−2i−ii-11−ii000000i3−i300−3300
χ202-22i−2i-121-2−ii2i−2i-11−ii0000−i3i3003−300002-22i−2i-121-2−ii2i−2i-11−ii0000−i3i3003−300002-22i−2i-121-2−ii2i−2i-11−ii0000−i3i3003−300002-22i−2i-121-2−ii2i−2i-11−ii0000−i3i3003−30000
χ212-22i−2i-121-2−ii2i−2i-11−ii0000i3−i300−3300002-22i−2i-121-2−ii2i−2i-11−ii0000i3−i300−3300002-22i−2i-121-2−ii2i−2i-11−ii0000i3−i300−3300002-22i−2i-121-2−ii2i−2i-11−ii0000i3−i300−330000
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−2i2i2-2−2i2i00000000000000
χ232-2−2i2i2-1-21−2i2ii−i-11i−i000000−i3i300−33002-2−2i2i2-1-21−2i2ii−i-11i−i000000−i3i300−33002-2−2i2i2-1-21−2i2ii−i-11i−i000000−i3i300−33002-2−2i2i2-1-21−2i2ii−i-11i−i000000−i3i300−3300
χ242-2−2i2i2-1-21−2i2ii−i-11i−i000000i3−i3003−3002-2−2i2i2-1-21−2i2ii−i-11i−i000000i3−i3003−3002-2−2i2i2-1-21−2i2ii−i-11i−i000000i3−i3003−3002-2−2i2i2-1-21−2i2ii−i-11i−i000000i3−i3003−300
χ252-2−2i2i-121-2i−i−2i2i-11i−i0000−i3i300−3300002-2−2i2i-121-2i−i−2i2i-11i−i0000−i3i300−3300002-2−2i2i-121-2i−i−2i2i-11i−i0000−i3i300−3300002-2−2i2i-121-2i−i−2i2i-11i−i0000−i3i300−330000
χ262-2−2i2i-121-2i−i−2i2i-11i−i0000i3−i3003−300002-2−2i2i-121-2i−i−2i2i-11i−i0000i3−i3003−300002-2−2i2i-121-2i−i−2i2i-11i−i0000i3−i3003−300002-2−2i2i-121-2i−i−2i2i-11i−i0000i3−i3003−30000
χ274444-2-2-2-2-2-2-2-21111000000000000004444-2-2-2-2-2-2-2-21111000000000000004444-2-2-2-2-2-2-2-21111000000000000004444-2-2-2-2-2-2-2-2111100000000000000
χ2844-4-4-2-2-2-2222211-1-10000000000000044-4-4-2-2-2-2222211-1-10000000000000044-4-4-2-2-2-2222211-1-10000000000000044-4-4-2-2-2-2222211-1-100000000000000
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−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−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
χ3211111111111111111-11-111-1-111-1-1-1-111111111111111111-11-111-1-111-1-1-1-111111111111111111-11-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-11111
χ331111111111111111-11-11-1-111-1-111-1-11111111111111111-11-11-1-111-1-111-1-11111111111111111-11-11-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-111
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
χ3511-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-1111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-1111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-11-1-111-1-1-1-11111-1-111-1-111-1-1-1-111111-1
χ3611-1-11111-1-1-1-111-1-11-1-1111-1-1-1-1111-111-1-11111-1-1-1-111-1-11-1-1111-1-1-1-1111-111-1-11111-1-1-1-111-1-11-1-1111-1-1-1-1111-1-1-111-1-1-1-11111-1-111-111-1-1-11111-1-1-11
χ3711-1-11111-1-1-1-111-1-1-111-1-1-11111-1-11-111-1-11111-1-1-1-111-1-1-111-1-1-11111-1-11-111-1-11111-1-1-1-111-1-1-111-1-1-11111-1-11-1-1-111-1-1-1-11111-1-1111-1-1111-1-1-1-111-11
χ3811-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1111-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1111-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-11-1-111-1-1-1-11111-1-11111-1-11111-1-1-1-11-1
χ3922222-12-122-1-1-1-1-1-1020200-1-100-1-10022222-12-122-1-1-1-1-1-1020200-1-100-1-10022222-12-122-1-1-1-1-1-1020200-1-100-1-100-2-2-2-2-21-21-2-21111110-20-20011001100
χ4022222-12-122-1-1-1-1-1-10-20-2001100110022222-12-122-1-1-1-1-1-10-20-2001100110022222-12-122-1-1-1-1-1-10-20-20011001100-2-2-2-2-21-21-2-2111111020200-1-100-1-100
χ412222-12-12-1-122-1-1-1-12020-1-100-1-100002222-12-12-1-122-1-1-1-12020-1-100-1-100002222-12-12-1-122-1-1-1-12020-1-100-1-10000-2-2-2-21-21-211-2-21111-20-201100110000
χ422222-12-12-1-122-1-1-1-1-20-2011001100002222-12-12-1-122-1-1-1-1-20-2011001100002222-12-12-1-122-1-1-1-1-20-201100110000-2-2-2-21-21-211-2-211112020-1-100-1-10000
χ4322-2-22-12-1-2-211-1-111020-200-1-100110022-2-22-12-1-2-211-1-111020-200-1-100110022-2-22-12-1-2-211-1-111020-200-1-1001100-2-222-21-2122-1-111-1-10-202001100-1-100
χ4422-2-22-12-1-2-211-1-1110-202001100-1-10022-2-22-12-1-2-211-1-1110-202001100-1-10022-2-22-12-1-2-211-1-1110-202001100-1-100-2-222-21-2122-1-111-1-1020-200-1-1001100
χ4522-2-2-12-1211-2-2-1-11120-20-1-10011000022-2-2-12-1211-2-2-1-11120-20-1-10011000022-2-2-12-1211-2-2-1-11120-20-1-100110000-2-2221-21-2-1-12211-1-1-20201100-1-10000
χ4622-2-2-12-1211-2-2-1-111-20201100-1-1000022-2-2-12-1211-2-2-1-111-20201100-1-1000022-2-2-12-1211-2-2-1-111-20201100-1-10000-2-2221-21-2-1-12211-1-120-20-1-100110000
χ472-22i−2i22-2-22i−2i2i−2i2-22i−2i000000000000002-22i−2i22-2-22i−2i2i−2i2-22i−2i000000000000002-22i−2i22-2-22i−2i2i−2i2-22i−2i00000000000000-22−2i2i-2-222−2i2i−2i2i-22−2i2i00000000000000
χ482-22i−2i2-1-212i−2i−ii-11−ii000000−i3i3003−3002-22i−2i2-1-212i−2i−ii-11−ii000000−i3i3003−3002-22i−2i2-1-212i−2i−ii-11−ii000000−i3i3003−300-22−2i2i-212-1−2i2ii−i1-1i−i000000i3−i300−3300
χ492-22i−2i2-1-212i−2i−ii-11−ii000000i3−i300−33002-22i−2i2-1-212i−2i−ii-11−ii000000i3−i300−33002-22i−2i2-1-212i−2i−ii-11−ii000000i3−i300−3300-22−2i2i-212-1−2i2ii−i1-1i−i000000−i3i3003−300
χ502-22i−2i-121-2−ii2i−2i-11−ii0000−i3i3003−300002-22i−2i-121-2−ii2i−2i-11−ii0000−i3i3003−300002-22i−2i-121-2−ii2i−2i-11−ii0000−i3i3003−30000-22−2i2i1-2-12i−i−2i2i1-1i−i0000i3−i300−330000
χ512-22i−2i-121-2−ii2i−2i-11−ii0000i3−i300−3300002-22i−2i-121-2−ii2i−2i-11−ii0000i3−i300−3300002-22i−2i-121-2−ii2i−2i-11−ii0000i3−i300−330000-22−2i2i1-2-12i−i−2i2i1-1i−i0000−i3i3003−30000
χ522-2−2i2i22-2-2−2i2i−2i2i2-2−2i2i000000000000002-2−2i2i22-2-2−2i2i−2i2i2-2−2i2i000000000000002-2−2i2i22-2-2−2i2i−2i2i2-2−2i2i00000000000000-222i−2i-2-2222i−2i2i−2i-222i−2i00000000000000
χ532-2−2i2i2-1-21−2i2ii−i-11i−i000000−i3i300−33002-2−2i2i2-1-21−2i2ii−i-11i−i000000−i3i300−33002-2−2i2i2-1-21−2i2ii−i-11i−i000000−i3i300−3300-222i−2i-212-12i−2i−ii1-1−ii000000i3−i3003−300
χ542-2−2i2i2-1-21−2i2ii−i-11i−i000000i3−i3003−3002-2−2i2i2-1-21−2i2ii−i-11i−i000000i3−i3003−3002-2−2i2i2-1-21−2i2ii−i-11i−i000000i3−i3003−300-222i−2i-212-12i−2i−ii1-1−ii000000−i3i300−3300
χ552-2−2i2i-121-2i−i−2i2i-11i−i0000−i3i300−3300002-2−2i2i-121-2i−i−2i2i-11i−i0000−i3i300−3300002-2−2i2i-121-2i−i−2i2i-11i−i0000−i3i300−330000-222i−2i1-2-12−ii2i−2i1-1−ii0000i3−i3003−30000
χ562-2−2i2i-121-2i−i−2i2i-11i−i0000i3−i3003−300002-2−2i2i-121-2i−i−2i2i-11i−i0000i3−i3003−300002-2−2i2i-121-2i−i−2i2i-11i−i0000i3−i3003−30000-222i−2i1-2-12−ii2i−2i1-1−ii0000−i3i300−330000
χ574444-2-2-2-2-2-2-2-21111000000000000004444-2-2-2-2-2-2-2-21111000000000000004444-2-2-2-2-2-2-2-2111100000000000000-4-4-4-422222222-1-1-1-100000000000000
χ5844-4-4-2-2-2-2222211-1-10000000000000044-4-4-2-2-2-2222211-1-10000000000000044-4-4-2-2-2-2222211-1-100000000000000-4-4442222-2-2-2-2-1-11100000000000000
χ594-44i−4i-2-222−2i2i−2i2i1-1i−i000000000000004-44i−4i-2-222−2i2i−2i2i1-1i−i000000000000004-44i−4i-2-222−2i2i−2i2i1-1i−i00000000000000-44−4i4i22-2-22i−2i2i−2i-11−ii00000000000000
χ604-4−4i4i-2-2222i−2i2i−2i1-1−ii000000000000004-4−4i4i-2-2222i−2i2i−2i1-1−ii000000000000004-4−4i4i-2-2222i−2i2i−2i1-1−ii00000000000000-444i−4i22-2-2−2i2i−2i2i-11i−i00000000000000
χ61222222222222222222222222222222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52000000000000000000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.