Finite Group Databasebeta

← Group #11789151

Character table — Group #11789151

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111111122222222222222222222444444444444444444448888888888888888888812121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636
order1222222233444466666666666666344446666666121212121212121212121212121212121212121212121212121212128888888824242424242424242424242424242424444444441212121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ611111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111
χ711111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-11111
χ811111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1
χ91-1111-1-1-1111-11-11-1-1-1-1-1-1-111111-1111-1-11-1-1-1-111111-1-1-11-11111-1-1-1-111-1-11111-1-1-1-111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−iii−i−i1-1i−i11-1-1ii−i−ii−iii−i−i
χ101-1111-1-1-1111-11-11-1-1-1-1-1-1-111111-1111-1-11-1-1-1-111111-1-1-11-11111-1-1-1-111-1-11111-1-1-1-111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−i−iii1-1−ii11-1-1−i−iii−ii−i−iii
χ111-1111-1-1-1111-11-11-1-1-1-1-1-1-111111-1111-1-11-1-1-1-111111-1-1-11-11111-1-1-1-111-1-11111-1-1-1-1-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i−i−iii-11i−i-1-111ii−i−i−ii−i−iii
χ121-1111-1-1-1111-11-11-1-1-1-1-1-1-111111-1111-1-11-1-1-1-111111-1-1-11-11111-1-1-1-111-1-11111-1-1-1-1-1-111−i−iii-1-1-1-11111−i−i−i−iiiiiii−i−i-11−ii-1-111−i−iiii−iii−i−i
χ131-1111-1-1-1111-11-11-1-1-1-1-1-1-111111-11-1-1111-1-1-1-111111-1-1-11-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−iii−i−i-11−ii-1-111−i−iiii−i−i−iii
χ141-1111-1-1-1111-11-11-1-1-1-1-1-1-111111-11-1-1111-1-1-1-111111-1-1-11-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−i−iii-11i−i-1-111ii−i−i−iiii−i−i
χ151-1111-1-1-1111-11-11-1-1-1-1-1-1-111111-11-1-1111-1-1-1-111111-1-1-11-1-1-1-1-1111111-1-1-1-1-1-11111-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i−i−iii1-1−ii11-1-1−i−iii−iiii−i−i
χ161-1111-1-1-1111-11-11-1-1-1-1-1-1-111111-11-1-1111-1-1-1-111111-1-1-11-1-1-1-1-1111111-1-1-1-1-1-11111-1-111−i−iii-1-1-1-11111−i−i−i−iiiiiii−i−i1-1i−i11-1-1ii−i−ii−i−i−iii
χ172222222222-2-2-2-222222222222222200002222222-2-2-2-2-2-2-2-200000000-2-2-2-2000000000000000000000000000000002222000000000000-2-20000
χ182222222222-2-2-2-222222222222222200002222222-2-2-2-2-2-2-2-200000000-2-2-2-200000000000000000000000000000000-2-2-2-2000000000000220000
χ19222222222-122222222-1-1-1-12-12-1-12-12222-1-1-1-1-1-1-122-12-1-1-1222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000000002200-1-1-1-10000000000
χ20222222222-122222222-1-1-1-12-12-1-12-12222-1-1-1-1-1-1-122-12-1-1-1222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000011111111000000000000-2-20011110000000000
χ21222222222-122222222-1-1-1-12-12-1-12-1-2-2-2-2-1-1-1-1-1-1-122-12-1-1-12-2-211-2-211-1-1-1-11111111122220000-1-1-1-1-1-1-1-1000000000000-2-20011110000000000
χ22222222222-122222222-1-1-1-12-12-1-12-1-2-2-2-2-1-1-1-1-1-1-122-12-1-1-12-2-211-2-211-1-1-1-111111111-2-2-2-20000111111110000000000002200-1-1-1-10000000000
χ2322222222-122222-1-1-1-12222-12-122-1-12222-1-1-1-1-1-1-1-1-12-1222-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1000000220000-1-1-1-1000000
χ2422222222-122222-1-1-1-12222-12-122-1-12222-1-1-1-1-1-1-1-1-12-1222-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000011111111000000-2-200001111000000
χ2522222222-122222-1-1-1-12222-12-122-1-1-2-2-2-2-1-1-1-1-1-1-1-1-12-1222-111-2-211-2-2-1-1-1-1111111110000222200000000-1-1-1-1-1-1-1-1000000-2-200001111000000
χ2622222222-122222-1-1-1-12222-12-122-1-1-2-2-2-2-1-1-1-1-1-1-1-1-12-1222-111-2-211-2-2-1-1-1-1111111110000-2-2-2-20000000011111111000000220000-1-1-1-1000000
χ27222-2-2-2-222222-2-2-222-222-2-222-2-2-2-220000-222-2-22-22-2222-2-2-2000000002-22-2000000000000000000000000000000000000000000000000002-22-2
χ28222-2-2-2-222222-2-2-222-222-2-222-2-2-2-220000-222-2-22-22-2222-2-2-2000000002-22-200000000000000000000000000000000000000000000000000-22-22
χ29222-2-2-2-2222-2-222-222-222-2-222-2-2-2-222i−2i2i−2i-222-2-22-2-22-2-2-22222i−2i2i−2i2i−2i2i−2i-22-222i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000
χ30222-2-2-2-2222-2-222-222-222-2-222-2-2-2-22−2i2i−2i2i-222-2-22-2-22-2-2-2222−2i2i−2i2i−2i2i−2i2i-22-22−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000
χ31222-2-2-2-222-1-2-222-222-2-1-1112-1-211-2-12i−2i2i−2i1-1-111-11-221-21-1-122i−2i−ii2i−2i−ii1-11-1−i−iii−i−iii00000000−i3−i3i3i3−i3−i3i3i300000000000000003−33−30000000000
χ32222-2-2-2-222-1-2-222-222-2-1-1112-1-211-2-12i−2i2i−2i1-1-111-11-221-21-1-122i−2i−ii2i−2i−ii1-11-1−i−iii−i−iii00000000i3i3−i3−i3i3i3−i3−i30000000000000000−33−330000000000
χ33222-2-2-2-222-1-2-222-222-2-1-1112-1-211-2-1−2i2i−2i2i1-1-111-11-221-21-1-12−2i2ii−i−2i2ii−i1-11-1ii−i−iii−i−i00000000−i3−i3i3i3−i3−i3i3i30000000000000000−33−330000000000
χ34222-2-2-2-222-1-2-222-222-2-1-1112-1-211-2-1−2i2i−2i2i1-1-111-11-221-21-1-12−2i2ii−i−2i2ii−i1-11-1ii−i−iii−i−i00000000i3i3−i3−i3i3i3−i3−i300000000000000003−33−30000000000
χ35222-2-2-2-22-12-2-2221-1-1122-2-2-121-2-21-12i−2i2i−2i1-1-111-111-1-21-222-1−ii2i−2i−ii2i−2i1-11-1−i−iii−i−iii0000000000000000−i3−i3i3i3−i3−i3i3i30000000000003−33−3000000
χ36222-2-2-2-22-12-2-2221-1-1122-2-2-121-2-21-12i−2i2i−2i1-1-111-111-1-21-222-1−ii2i−2i−ii2i−2i1-11-1−i−iii−i−iii0000000000000000i3i3−i3−i3i3i3−i3−i3000000000000−33−33000000
χ37222-2-2-2-22-12-2-2221-1-1122-2-2-121-2-21-1−2i2i−2i2i1-1-111-111-1-21-222-1i−i−2i2ii−i−2i2i1-11-1ii−i−iii−i−i0000000000000000−i3−i3i3i3−i3−i3i3i3000000000000−33−33000000
χ38222-2-2-2-22-12-2-2221-1-1122-2-2-121-2-21-1−2i2i−2i2i1-1-111-111-1-21-222-1i−i−2i2ii−i−2i2i1-11-1ii−i−iii−i−i0000000000000000i3i3−i3−i3i3i3−i3−i30000000000003−33−3000000
χ3922-22-2-22-2220000-22-2-22-22-2-2-222-2220000-22-22-2-220000000000000000000000000000−i2i2−i2i22−22−2−i2i2−i2i2−i2i2−i2i22−22−22−22−22i−2i2i−2i000000000000000000
χ4022-22-2-22-2220000-22-2-22-22-2-2-222-2220000-22-22-2-220000000000000000000000000000−i2i2−i2i2−22−22−i2i2−i2i2−i2i2−i2i2−22−22−22−22−2i2i−2i2i000000000000000000
χ4122-22-2-22-2220000-22-2-22-22-2-2-222-2220000-22-22-2-220000000000000000000000000000i2−i2i2−i22−22−2i2−i2i2−i2i2−i2i2−i22−22−22−22−2−2i2i−2i2i000000000000000000
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χ432-2222-2-2-222-22-222-2-2-2-2-2-2-222222-2200002-2-2-2-222-2-2-2222-2200000000-2-222000000000000000000000000000000002i2i−2i−2i000000000000−2i2i0000
χ442-2222-2-2-222-22-222-2-2-2-2-2-2-222222-2200002-2-2-2-222-2-2-2222-2200000000-2-22200000000000000000000000000000000−2i−2i2i2i0000000000002i−2i0000
χ452-2222-2-2-22-12-22-22-2-2-211112-12-1-1-2-122-2-2-11111-1-122-1-211-1-222-1-1-2-211-1-111-1-1-1-1111122-2-20000-1-1-1-111110000000000002-200-1-1110000000000
χ462-2222-2-2-22-12-22-22-2-2-211112-12-1-1-2-122-2-2-11111-1-122-1-211-1-222-1-1-2-211-1-111-1-1-1-11111-2-22200001111-1-1-1-1000000000000-220011-1-10000000000
χ472-2222-2-2-22-12-22-22-2-2-211112-12-1-1-2-1-2-222-11111-1-122-1-211-1-2-2-21122-1-1-1-1111111-1-1-1-122-2-20000-1-1-1-11111000000000000-220011-1-10000000000
χ482-2222-2-2-22-12-22-22-2-2-211112-12-1-1-2-1-2-222-11111-1-122-1-211-1-2-2-21122-1-1-1-1111111-1-1-1-1-2-22200001111-1-1-1-10000000000002-200-1-1110000000000
χ492-2222-2-2-2-122-22-2-1111-2-2-2-2-12-1221-122-2-2-11111-1-1-1-121-2-221-1-12211-2-2-1-111-1-1-1-1111100002i2i−2i−2i00000000−i−i−i−iiiii0000002i−2i0000−i−iii000000
χ502-2222-2-2-2-122-22-2-1111-2-2-2-2-12-1221-122-2-2-11111-1-1-1-121-2-221-1-12211-2-2-1-111-1-1-1-111110000−2i−2i2i2i00000000iiii−i−i−i−i000000−2i2i0000ii−i−i000000
χ512-2222-2-2-2-122-22-2-1111-2-2-2-2-12-1221-1-2-222-11111-1-1-1-121-2-22111-2-2-1-122-1-1111111-1-1-1-100002i2i−2i−2i00000000−i−i−i−iiiii000000−2i2i0000ii−i−i000000
χ522-2222-2-2-2-122-22-2-1111-2-2-2-2-12-1221-1-2-222-11111-1-1-1-121-2-22111-2-2-1-122-1-1111111-1-1-1-10000−2i−2i2i2i00000000iiii−i−i−i−i0000002i−2i0000−i−iii000000
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χ562-22-2-222-222-222-2-2-2-22-2-22222-2-2-222−2i2i2i−2i-2-2-2222-2-22-222-22-2−2i2i−2i2i2i−2i2i−2i-222-2−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000000000000000
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χ77444-4-4-4-44-2-244-4-42-2-22-2-222-2-2222210000-111-1-11-1-22-2-2-2222000000001-11-13i−3i−3i3i3i−3i−3i3i0000000000000000000000000000000000000000000000
χ78444-4-4-4-44-2-244-4-42-2-22-2-222-2-2222210000-111-1-11-1-22-2-2-2222000000001-11-1−3i3i3i−3i−3i3i3i−3i0000000000000000000000000000000000000000000000
χ79444-4-4-4-44-2-2-4-4442-2-22-2-222-2-2222214i−4i4i−4i-111-1-11-12-2222-2-2-2−2i2i−2i2i−2i2i−2i2i-11-11ii−i−iii−i−i0000000000000000000000000000000000000000000000
χ80444-4-4-4-44-2-2-4-4442-2-22-2-222-2-222221−4i4i−4i4i-111-1-11-12-2222-2-2-22i−2i2i−2i2i−2i2i−2i-11-11−i−iii−i−iii0000000000000000000000000000000000000000000000
χ8144-44-4-44-44-20000-44-4-4-22-22-424-224-200002-22-222-20000000000000000000000000000−2i22i2−2i22i20000i2−i2i2−i2i2−i2i2−i2000000000000000000000000000000
χ8244-44-4-44-44-20000-44-4-4-22-22-424-224-200002-22-222-200000000000000000000000000002i2−2i22i2−2i20000−i2i2−i2i2−i2i2−i2i2000000000000000000000000000000
χ8344-44-4-44-4-2400002-2224-44-42-4-24-4-2-200002-22-222-20000000000000000000000000000000022−2222−2200000000−22−22−22−220000000000000000000000
χ8444-44-4-44-4-2400002-2224-44-42-4-24-4-2-200002-22-222-200000000000000000000000000000000−2222−2222000000002−22−22−22−20000000000000000000000
χ8544-4-444-4-444000044-444-4-44-4-4-4-44-44000044-4-44-4-400000000000000000000000000000000000000000000000000000000000000000000000000
χ8644-4-444-4-44-2000044-44-222-2-42-42-2-4-20000-2-222-2220000000000000000000000000000000000006−6−666−6−66000000000000000000000000000000
χ8744-4-444-4-44-2000044-44-222-2-42-42-2-4-20000-2-222-222000000000000000000000000000000000000−666−6−666−6000000000000000000000000000000
χ8844-4-444-4-4-240000-2-22-24-4-442-42-442-20000-2-222-22200000000000000000000000000000000000000000000i6−i6−i6i6i6−i6−i6i60000000000000000000000
χ8944-4-444-4-4-240000-2-22-24-4-442-42-442-20000-2-222-22200000000000000000000000000000000000000000000−i6i6i6−i6−i6i6i6−i60000000000000000000000
χ904-4444-4-4-44-2-44-444-4-4-422224-24-2-2-4-20000-22222-2-2-4-424-2-2240000000022-2-2000000000000000000000000000000000000000000000000000000
χ914-4444-4-4-4-24-44-44-2222-4-4-4-4-24-2442-20000-22222-2-222-4-244-4-20000000022-2-2000000000000000000000000000000000000000000000000000000
χ924-4444-4-4-4-2-24-44-4-22222222-2-2-2-2-22144-4-41-1-1-1-111-2-2-2222-22-2-2-2-2222211-1-11111-1-1-1-10000000000000000000000000000000000000000000000
χ934-4444-4-4-4-2-24-44-4-22222222-2-2-2-2-221-4-4441-1-1-1-111-2-2-2222-222222-2-2-2-211-1-1-1-1-1-111110000000000000000000000000000000000000000000000
χ944-4444-4-4-4-2-2-44-44-22222222-2-2-2-2-22100001-1-1-1-111222-2-2-22-200000000-1-1113-33-3-33-330000000000000000000000000000000000000000000000
χ954-4444-4-4-4-2-2-44-44-22222222-2-2-2-2-22100001-1-1-1-111222-2-2-22-200000000-1-111-33-333-33-30000000000000000000000000000000000000000000000
χ964-44-4-444-44-24-4-44-4-4-4422-2-24-2-4224-20000222-2-2-224-4-2-42-22400000000-222-2000000000000000000000000000000000000000000000000000000
χ974-44-4-444-4-244-4-44222-2-4-444-242-4-4-2-20000222-2-2-22-2242-44-4-200000000-222-2000000000000000000000000000000000000000000000000000000
χ984-44-4-444-4-2-24-4-44222-222-2-2-2-2222-210000-1-1-1111-1-22-222-22-2000000001-1-113i−3i−3i3i−3i3i3i−3i0000000000000000000000000000000000000000000000
χ994-44-4-444-4-2-24-4-44222-222-2-2-2-2222-210000-1-1-1111-1-22-222-22-2000000001-1-11−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000000000000000000000
χ1004-44-4-444-4-2-2-444-4222-222-2-2-2-2222-214i−4i−4i4i-1-1-1111-12-22-2-22-22−2i2i−2i2i2i−2i2i−2i-111-1ii−i−i−i−iii0000000000000000000000000000000000000000000000
χ1014-44-4-444-4-2-2-444-4222-222-2-2-2-2222-21−4i4i4i−4i-1-1-1111-12-22-2-22-222i−2i2i−2i−2i2i−2i2i-111-1−i−iiiii−i−i0000000000000000000000000000000000000000000000
χ1024-4-44-44-444-20000-4-4442-22-2-424-22-4-2000022-22-22-20000000000000000000000000000−2i22i22i2−2i20000i2−i2i2−i2−i2i2−i2i2000000000000000000000000000000
χ1034-4-44-44-444-20000-4-4442-22-2-424-22-4-2000022-22-22-200000000000000000000000000002i2−2i2−2i22i20000−i2i2−i2i2i2−i2i2−i2000000000000000000000000000000
χ1044-4-44-44-44-24000022-2-2-44-442-4-24-42-2000022-22-22-200000000000000000000000000000000−2i22i22i2−2i200000000i2−i2i2−i2−i2i2−i2i20000000000000000000000
χ1054-4-44-44-44-24000022-2-2-44-442-4-24-42-2000022-22-22-2000000000000000000000000000000002i2−2i2−2i22i200000000−i2i2−i2i2i2−i2i2−i20000000000000000000000
χ1064-4-4-44-4444400004-44-4-444-4-4-4-4-444400004-444-4-4-400000000000000000000000000000000000000000000000000000000000000000000000000
χ1074-4-4-44-4444-200004-44-42-2-22-42-42-24-20000-22-2-22220000000000000000000000000000000000006−6−66−666−6000000000000000000000000000000
χ1084-4-4-44-4444-200004-44-42-2-22-42-42-24-20000-22-2-2222000000000000000000000000000000000000−666−66−6−66000000000000000000000000000000
χ1094-4-4-44-444-240000-22-22-444-42-42-44-2-20000-22-2-2222000000000000000000000000000000000000000000006−6−66−666−60000000000000000000000
χ1104-4-4-44-444-240000-22-22-444-42-42-44-2-20000-22-2-222200000000000000000000000000000000000000000000−666−66−6−660000000000000000000000
χ11188-88-8-88-8-4-400004-444-44-4444-4-44-420000-22-22-2-2200000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-888-8-8-4-40000-4-44-4-444-44444-442000022-2-22-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-88-88-4-4000044-4-44-44-444-4-44420000-2-22-22-2200000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-8-88-888-4-40000-44-444-4-444444-4-4200002-222-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000

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