Finite Group Databasebeta

← Group #11783235

Character table — Group #11783235

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112244444444448888888888889999181818181818181818183636363636361111224444444444888888888888999918181818181818181818363636363636
order122244334466666612121212121212121212121222224488888888444444222244664466666612121212121212121212121222224488888888444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1iiii−i−i−i−i-1-1ii−i−i1111111111111111111111111111-1-1-1-1-1-1iiii−i−i−i−i-1-1ii−i−i
χ41111111111111111111111111111-1-1-1-1-1-1−i−i−i−iiiii-1-1−i−iii1111111111111111111111111111-1-1-1-1-1-1−i−i−i−iiiii-1-1−i−iii
χ511111111-1-11111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111-1-11111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1
χ611111111-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111
χ711111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i11−i−iii11111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i11−i−iii
χ811111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii11ii−i−i11111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii11ii−i−i
χ91-11-11-111i−i-1-111-1-111-1-1iiii−i−i−i−i11-1-1-1111-1-111-1-1i−ii−ii−i1-11-11-111i−i-1-111-1-111-1-1iiii−i−i−i−i11-1-1-1111-1-111-1-1i−ii−ii−i
χ101-11-11-111i−i-1-111-1-111-1-1iiii−i−i−i−i11-1-1-11-1-111-1-111i−i−ii−ii1-11-11-111i−i-1-111-1-111-1-1iiii−i−i−i−i11-1-1-11-1-111-1-111i−i−ii−ii
χ111-11-11-111i−i-1-111-1-111-1-1iiii−i−i−i−i-1-1111-1ii−i−i−i−iii−ii-111-11-11-11-111i−i-1-111-1-111-1-1iiii−i−i−i−i-1-1111-1ii−i−i−i−iii−ii-111-1
χ121-11-11-111i−i-1-111-1-111-1-1iiii−i−i−i−i-1-1111-1−i−iiiii−i−i−ii1-1-111-11-11-111i−i-1-111-1-111-1-1iiii−i−i−i−i-1-1111-1−i−iiiii−i−i−ii1-1-11
χ131-11-11-111−ii-1-111-1-111-1-1−i−i−i−iiiii11-1-1-1111-1-111-1-1−ii−ii−ii1-11-11-111−ii-1-111-1-111-1-1−i−i−i−iiiii11-1-1-1111-1-111-1-1−ii−ii−ii
χ141-11-11-111−ii-1-111-1-111-1-1−i−i−i−iiiii11-1-1-11-1-111-1-111−iii−ii−i1-11-11-111−ii-1-111-1-111-1-1−i−i−i−iiiii11-1-1-11-1-111-1-111−iii−ii−i
χ151-11-11-111−ii-1-111-1-111-1-1−i−i−i−iiiii-1-1111-1ii−i−i−i−iiii−i1-1-111-11-11-111−ii-1-111-1-111-1-1−i−i−i−iiiii-1-1111-1ii−i−i−i−iiii−i1-1-11
χ161-11-11-111−ii-1-111-1-111-1-1−i−i−i−iiiii-1-1111-1−i−iiiii−i−ii−i-111-11-11-11-111−ii-1-111-1-111-1-1−i−i−i−iiiii-1-1111-1−i−iiiii−i−ii−i-111-1
χ172222-2-22200222222-2-2-2-2000000002222-2-2000000000000002222-2-22200222222-2-2-2-2000000002222-2-200000000000000
χ182222-2-22200222222-2-2-2-200000000-2-2-2-222000000000000002222-2-22200222222-2-2-2-200000000-2-2-2-22200000000000000
χ1922-2-200220022-2-2-2-20000000000002-22-2002−22−22−22−200000022-2-200220022-2-2-2-20000000000002-22-2002−22−22−22−2000000
χ2022-2-200220022-2-2-2-20000000000002-22-200−22−22−22−2200000022-2-200220022-2-2-2-20000000000002-22-200−22−22−22−22000000
χ2122-2-200220022-2-2-2-2000000000000-22-2200i2−i2i2−i2−i2i2−i2i200000022-2-200220022-2-2-2-2000000000000-22-2200i2−i2i2−i2−i2i2−i2i2000000
χ2222-2-200220022-2-2-2-2000000000000-22-2200−i2i2−i2i2i2−i2i2−i200000022-2-200220022-2-2-2-2000000000000-22-2200−i2i2−i2i2i2−i2i2−i2000000
χ232-22-2-222200-2-222-2-2-2-2220000000022-2-22-2000000000000002-22-2-222200-2-222-2-2-2-2220000000022-2-22-200000000000000
χ242-22-2-222200-2-222-2-2-2-22200000000-2-222-22000000000000002-22-2-222200-2-222-2-2-2-22200000000-2-222-2200000000000000
χ252-2-22002200-2-2-2-2220000000000002-2-22002−2−222−2−220000002-2-22002200-2-2-2-2220000000000002-2-22002−2−222−2−22000000
χ262-2-22002200-2-2-2-2220000000000002-2-2200−222−2−222−20000002-2-22002200-2-2-2-2220000000000002-2-2200−222−2−222−2000000
χ272-2-22002200-2-2-2-222000000000000-222-200i2−i2−i2i2−i2i2i2−i20000002-2-22002200-2-2-2-222000000000000-222-200i2−i2−i2i2−i2i2i2−i2000000
χ282-2-22002200-2-2-2-222000000000000-222-200−i2i2i2−i2i2−i2−i2i20000002-2-22002200-2-2-2-222000000000000-222-200−i2i2i2−i2i2−i2−i2i2000000
χ294444441-2441-21-21-21-21-211-2-211-2-2000000000000000000004444441-2441-21-21-21-21-211-2-211-2-200000000000000000000
χ304444441-2-4-41-21-21-21-21-2-1-122-1-122000000000000000000004444441-2-4-41-21-21-21-21-2-1-122-1-12200000000000000000000
χ31444444-2144-21-21-21-21-21-2-211-2-21100000000000000000000444444-2144-21-21-21-21-21-2-211-2-21100000000000000000000
χ32444444-21-4-4-21-21-21-21-2122-1-122-1-100000000000000000000444444-21-4-4-21-21-21-21-2122-1-122-1-100000000000000000000
χ334444-4-41-2001-21-21-2-12-123-3003-300000000000000000000004444-4-41-2001-21-21-2-12-123-3003-30000000000000000000000
χ344444-4-41-2001-21-21-2-12-12-3300-3300000000000000000000004444-4-41-2001-21-21-2-12-12-3300-330000000000000000000000
χ354444-4-4-2100-21-21-212-12-1003-3003-3000000000000000000004444-4-4-2100-21-21-212-12-1003-3003-300000000000000000000
χ364444-4-4-2100-21-21-212-12-100-3300-33000000000000000000004444-4-4-2100-21-21-212-12-100-3300-3300000000000000000000
χ374-44-44-41-24i−4i-121-2-121-2-12ii−2i−2i−i−i2i2i000000000000000000004-44-44-41-24i−4i-121-2-121-2-12ii−2i−2i−i−i2i2i00000000000000000000
χ384-44-44-41-2−4i4i-121-2-121-2-12−i−i2i2iii−2i−2i000000000000000000004-44-44-41-2−4i4i-121-2-121-2-12−i−i2i2iii−2i−2i00000000000000000000
χ394-44-44-4-214i−4i2-1-212-1-212-1−2i−2iii2i2i−i−i000000000000000000004-44-44-4-214i−4i2-1-212-1-212-1−2i−2iii2i2i−i−i00000000000000000000
χ404-44-44-4-21−4i4i2-1-212-1-212-12i2i−i−i−2i−2iii000000000000000000004-44-44-4-21−4i4i2-1-212-1-212-12i2i−i−i−2i−2iii00000000000000000000
χ414-44-4-441-200-121-2-12-121-23i−3i00−3i3i00000000000000000000004-44-4-441-200-121-2-12-121-23i−3i00−3i3i0000000000000000000000
χ424-44-4-441-200-121-2-12-121-2−3i3i003i−3i00000000000000000000004-44-4-441-200-121-2-12-121-2−3i3i003i−3i0000000000000000000000
χ434-44-4-44-21002-1-212-12-1-21003i−3i00−3i3i000000000000000000004-44-4-44-21002-1-212-12-1-21003i−3i00−3i3i00000000000000000000
χ444-44-4-44-21002-1-212-12-1-2100−3i3i003i−3i000000000000000000004-44-4-44-21002-1-212-12-1-2100−3i3i003i−3i00000000000000000000
χ4588-8-8002-4002-4-24-240000000000000000000000000000000088-8-8002-4002-4-24-2400000000000000000000000000000000
χ4688-8-800-4200-424-24-20000000000000000000000000000000088-8-800-4200-424-24-200000000000000000000000000000000
χ478-8-88002-400-24-242-4000000000000000000000000000000008-8-88002-400-24-242-400000000000000000000000000000000
χ488-8-8800-42004-24-2-42000000000000000000000000000000008-8-8800-42004-24-2-4200000000000000000000000000000000
χ49111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ501111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111
χ511111111111111111111111111111-1-1-1-1-1-1iiii−i−i−i−i-1-1ii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111−i−i−i−iiiii11−i−iii
χ521111111111111111111111111111-1-1-1-1-1-1−i−i−i−iiiii-1-1−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111iiii−i−i−i−i11ii−i−i
χ5311111111-1-11111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5411111111-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111111111-1-1-1-1
χ5511111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i11−i−iii-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111111111−i−i−i−iiiii-1-1ii−i−i
χ5611111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii11ii−i−i-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111111111iiii−i−i−i−i-1-1−i−iii
χ571-11-11-111i−i-1-111-1-111-1-1iiii−i−i−i−i11-1-1-1111-1-111-1-1i−ii−ii−i-11-11-11-1-1−ii11-1-111-1-111−i−i−i−iiiii-1-1111-1-1-111-1-111−ii−ii−ii
χ581-11-11-111i−i-1-111-1-111-1-1iiii−i−i−i−i11-1-1-11-1-111-1-111i−i−ii−ii-11-11-11-1-1−ii11-1-111-1-111−i−i−i−iiiii-1-1111-111-1-111-1-1−iii−ii−i
χ591-11-11-111i−i-1-111-1-111-1-1iiii−i−i−i−i-1-1111-1ii−i−i−i−iii−ii-111-1-11-11-11-1-1−ii11-1-111-1-111−i−i−i−iiiii11-1-1-11−i−iiiii−i−ii−i1-1-11
χ601-11-11-111i−i-1-111-1-111-1-1iiii−i−i−i−i-1-1111-1−i−iiiii−i−i−ii1-1-11-11-11-11-1-1−ii11-1-111-1-111−i−i−i−iiiii11-1-1-11ii−i−i−i−iiii−i-111-1
χ611-11-11-111−ii-1-111-1-111-1-1−i−i−i−iiiii11-1-1-1111-1-111-1-1−ii−ii−ii-11-11-11-1-1i−i11-1-111-1-111iiii−i−i−i−i-1-1111-1-1-111-1-111i−ii−ii−i
χ621-11-11-111−ii-1-111-1-111-1-1−i−i−i−iiiii11-1-1-11-1-111-1-111−iii−ii−i-11-11-11-1-1i−i11-1-111-1-111iiii−i−i−i−i-1-1111-111-1-111-1-1i−i−ii−ii
χ631-11-11-111−ii-1-111-1-111-1-1−i−i−i−iiiii-1-1111-1ii−i−i−i−iiii−i1-1-11-11-11-11-1-1i−i11-1-111-1-111iiii−i−i−i−i11-1-1-11−i−iiiii−i−i−ii-111-1
χ641-11-11-111−ii-1-111-1-111-1-1−i−i−i−iiiii-1-1111-1−i−iiiii−i−ii−i-111-1-11-11-11-1-1i−i11-1-111-1-111iiii−i−i−i−i11-1-1-11ii−i−i−i−iii−ii1-1-11
χ652222-2-22200222222-2-2-2-2000000002222-2-200000000000000-2-2-2-222-2-200-2-2-2-2-2-2222200000000-2-2-2-22200000000000000
χ662222-2-22200222222-2-2-2-200000000-2-2-2-22200000000000000-2-2-2-222-2-200-2-2-2-2-2-22222000000002222-2-200000000000000
χ6722-2-200220022-2-2-2-20000000000002-22-2002−22−22−22−2000000-2-22200-2-200-2-22222000000000000-22-2200−22−22−22−22000000
χ6822-2-200220022-2-2-2-20000000000002-22-200−22−22−22−22000000-2-22200-2-200-2-22222000000000000-22-22002−22−22−22−2000000
χ6922-2-200220022-2-2-2-2000000000000-22-2200i2−i2i2−i2−i2i2−i2i2000000-2-22200-2-200-2-222220000000000002-22-200−i2i2−i2i2i2−i2i2−i2000000
χ7022-2-200220022-2-2-2-2000000000000-22-2200−i2i2−i2i2i2−i2i2−i2000000-2-22200-2-200-2-222220000000000002-22-200i2−i2i2−i2−i2i2−i2i2000000
χ712-22-2-222200-2-222-2-2-2-2220000000022-2-22-200000000000000-22-222-2-2-20022-2-22222-2-200000000-2-222-2200000000000000
χ722-22-2-222200-2-222-2-2-2-22200000000-2-222-2200000000000000-22-222-2-2-20022-2-22222-2-20000000022-2-22-200000000000000
χ732-2-22002200-2-2-2-2220000000000002-2-22002−2−222−2−22000000-222-200-2-2002222-2-2000000000000-222-200−222−2−222−2000000
χ742-2-22002200-2-2-2-2220000000000002-2-2200−222−2−222−2000000-222-200-2-2002222-2-2000000000000-222-2002−2−222−2−22000000
χ752-2-22002200-2-2-2-222000000000000-222-200i2−i2−i2i2−i2i2i2−i2000000-222-200-2-2002222-2-20000000000002-2-2200−i2i2i2−i2i2−i2−i2i2000000
χ762-2-22002200-2-2-2-222000000000000-222-200−i2i2i2−i2i2−i2−i2i2000000-222-200-2-2002222-2-20000000000002-2-2200i2−i2−i2i2−i2i2i2−i2000000
χ774444441-2441-21-21-21-21-211-2-211-2-200000000000000000000-4-4-4-4-4-4-12-4-4-12-12-12-12-12-1-122-1-12200000000000000000000
χ784444441-2-4-41-21-21-21-21-2-1-122-1-12200000000000000000000-4-4-4-4-4-4-1244-12-12-12-12-1211-2-211-2-200000000000000000000
χ79444444-2144-21-21-21-21-21-2-211-2-21100000000000000000000-4-4-4-4-4-42-1-4-42-12-12-12-12-122-1-122-1-100000000000000000000
χ80444444-21-4-4-21-21-21-21-2122-1-122-1-100000000000000000000-4-4-4-4-4-42-1442-12-12-12-12-1-2-211-2-21100000000000000000000
χ814444-4-41-2001-21-21-2-12-123-3003-30000000000000000000000-4-4-4-444-1200-12-12-121-21-2-3300-330000000000000000000000
χ824444-4-41-2001-21-21-2-12-12-3300-330000000000000000000000-4-4-4-444-1200-12-12-121-21-23-3003-30000000000000000000000
χ834444-4-4-2100-21-21-212-12-1003-3003-300000000000000000000-4-4-4-4442-1002-12-12-1-21-2100-3300-3300000000000000000000
χ844444-4-4-2100-21-21-212-12-100-3300-3300000000000000000000-4-4-4-4442-1002-12-12-1-21-21003-3003-300000000000000000000
χ854-44-44-41-24i−4i-121-2-121-2-12ii−2i−2i−i−i2i2i00000000000000000000-44-44-44-12−4i4i1-2-121-2-121-2−i−i2i2iii−2i−2i00000000000000000000
χ864-44-44-41-2−4i4i-121-2-121-2-12−i−i2i2iii−2i−2i00000000000000000000-44-44-44-124i−4i1-2-121-2-121-2ii−2i−2i−i−i2i2i00000000000000000000
χ874-44-44-4-214i−4i2-1-212-1-212-1−2i−2iii2i2i−i−i00000000000000000000-44-44-442-1−4i4i-212-1-212-1-212i2i−i−i−2i−2iii00000000000000000000
χ884-44-44-4-21−4i4i2-1-212-1-212-12i2i−i−i−2i−2iii00000000000000000000-44-44-442-14i−4i-212-1-212-1-21−2i−2iii2i2i−i−i00000000000000000000
χ894-44-4-441-200-121-2-12-121-23i−3i00−3i3i0000000000000000000000-44-444-4-12001-2-121-21-2-12−3i3i003i−3i0000000000000000000000
χ904-44-4-441-200-121-2-12-121-2−3i3i003i−3i0000000000000000000000-44-444-4-12001-2-121-21-2-123i−3i00−3i3i0000000000000000000000
χ914-44-4-44-21002-1-212-12-1-21003i−3i00−3i3i00000000000000000000-44-444-42-100-212-1-21-212-100−3i3i003i−3i00000000000000000000
χ924-44-4-44-21002-1-212-12-1-2100−3i3i003i−3i00000000000000000000-44-444-42-100-212-1-21-212-1003i−3i00−3i3i00000000000000000000
χ9388-8-8002-4002-4-24-2400000000000000000000000000000000-8-88800-2400-242-42-400000000000000000000000000000000
χ9488-8-800-4200-424-24-200000000000000000000000000000000-8-888004-2004-2-42-4200000000000000000000000000000000
χ958-8-88002-400-24-242-400000000000000000000000000000000-888-800-24002-42-4-2400000000000000000000000000000000
χ968-8-8800-42004-24-2-4200000000000000000000000000000000-888-8004-200-42-424-200000000000000000000000000000000

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