Finite Group Databasebeta

← Group #11785769

Character table — Group #11785769

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111111122222222222222222222444444444444444444448888888888888888888812121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636
order1222222233444466666666666666344446666666121212121212121212121212121212121212121212121212121212128888888824242424242424242424242424242424222244441212121212121212444444
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
χ911-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1111-1-11-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-1i−ii−iii−i−iii−i−i1-111-1-1
χ1011-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1111-1-11-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-111i−i−iiii−i−i−i−iii-11-1-111
χ1111-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1111-1-11-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-111−iii−i−i−iiiii−i−i-11-1-111
χ1211-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1111-1-11-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii11-1-1−ii−ii−i−iii−i−iii1-111-1-1
χ1311-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-11-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-1−ii−ii−i−iii−i−iii1-1-1-111
χ1411-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-11-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-111−iii−i−i−iiiii−i−i-1111-1-1
χ1511-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-11-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-111i−i−iiii−i−i−i−iii-1111-1-1
χ1611-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-11-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii11-1-1i−ii−iii−i−iii−i−i1-1-1-111
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
χ19222222222-122222-1222-1-1-12-12-12-1-12222-1-1-1-1-1-1-122-1-12-12-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1000000220000-1-1-1-1000000
χ20222222222-122222-1222-1-1-12-12-12-1-12222-1-1-1-1-1-1-122-1-12-12-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000011111111000000-2-200001111000000
χ21222222222-122222-1222-1-1-12-12-12-1-1-2-2-2-2-1-1-1-1-1-1-122-1-12-12-1-2-211-2-211-1-1-1-1111111110000222200000000-1-1-1-1-1-1-1-1000000-2-200001111000000
χ22222222222-122222-1222-1-1-12-12-12-1-1-2-2-2-2-1-1-1-1-1-1-122-1-12-12-1-2-211-2-211-1-1-1-1111111110000-2-2-2-20000000011111111000000220000-1-1-1-1000000
χ2322222222-122222-12-1-1-1222-12-12-12-12222-1-1-1-1-1-1-1-1-122-12-12-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000000002200-1-1-1-10000000000
χ2422222222-122222-12-1-1-1222-12-12-12-12222-1-1-1-1-1-1-1-1-122-12-12-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000011111111000000000000-2-20011110000000000
χ2522222222-122222-12-1-1-1222-12-12-12-1-2-2-2-2-1-1-1-1-1-1-1-1-122-12-1211-2-211-2-2-1-1-1-11111111122220000-1-1-1-1-1-1-1-1000000000000-2-20011110000000000
χ2622222222-122222-12-1-1-1222-12-12-12-1-2-2-2-2-1-1-1-1-1-1-1-1-122-12-1211-2-211-2-2-1-1-1-111111111-2-2-2-20000111111110000000000002200-1-1-1-10000000000
χ2722-2-2-2-22222-2-22222-2-2-2-2-2-22222-2-2200002-2-2-2-222-2-2-2-2222200000000-2-2220000000000000000000000000000000022-2-2000000000000-220000
χ2822-2-2-2-22222-2-22222-2-2-2-2-2-22222-2-2200002-2-2-2-222-2-2-2-2222200000000-2-22200000000000000000000000000000000-2-2220000000000002-20000
χ2922-2-2-2-2222-122-2-22-1-2-2-21112-12-1-21-122-2-2-11111-1-122-1-1-21-2122-1-1-2-211-1-111-1-1-1-1111100002i2i−2i−2i00000000−i−i−i−iiiii0000002i−2i0000−i−iii000000
χ3022-2-2-2-2222-122-2-22-1-2-2-21112-12-1-21-122-2-2-11111-1-122-1-1-21-2122-1-1-2-211-1-111-1-1-1-111110000−2i−2i2i2i00000000iiii−i−i−i−i000000−2i2i0000ii−i−i000000
χ3122-2-2-2-2222-122-2-22-1-2-2-21112-12-1-21-1-2-222-11111-1-122-1-1-21-21-2-21122-1-1-1-1111111-1-1-1-100002i2i−2i−2i00000000−i−i−i−iiiii000000−2i2i0000ii−i−i000000
χ3222-2-2-2-2222-122-2-22-1-2-2-21112-12-1-21-1-2-222-11111-1-122-1-1-21-21-2-21122-1-1-1-1111111-1-1-1-10000−2i−2i2i2i00000000iiii−i−i−i−i0000002i−2i0000−i−iii000000
χ3322-2-2-2-222-1222-2-2-12111-2-2-2-12-121-2-122-2-2-11111-1-1-1-1221-21-2-1-12211-2-2-1-111-1-1-1-111112i2i−2i−2i0000−i−i−i−iiiii0000000000002i−2i00−i−iii0000000000
χ3422-2-2-2-222-1222-2-2-12111-2-2-2-12-121-2-122-2-2-11111-1-1-1-1221-21-2-1-12211-2-2-1-111-1-1-1-11111−2i−2i2i2i0000iiii−i−i−i−i000000000000−2i2i00ii−i−i0000000000
χ3522-2-2-2-222-1222-2-2-12111-2-2-2-12-121-2-1-2-222-11111-1-1-1-1221-21-211-2-2-1-122-1-1111111-1-1-1-12i2i−2i−2i0000−i−i−i−iiiii000000000000−2i2i00ii−i−i0000000000
χ3622-2-2-2-222-1222-2-2-12111-2-2-2-12-121-2-1-2-222-11111-1-1-1-1221-21-211-2-2-1-122-1-1111111-1-1-1-1−2i−2i2i2i0000iiii−i−i−i−i0000000000002i−2i00−i−iii0000000000
χ372-222-2-2-22220000-2-222-222-2-2-222-2-220000-222-2-2-220000000000000000000000000000−i2i2−i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i22-22-2000000000000000000
χ382-222-2-2-22220000-2-222-222-2-2-222-2-220000-222-2-2-220000000000000000000000000000−i2i2−i2i2i2−i2i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2-22-22000000000000000000
χ392-222-2-2-22220000-2-222-222-2-2-222-2-220000-222-2-2-220000000000000000000000000000i2−i2i2−i2−i2i2−i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2-22-22000000000000000000
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χ412-22-22-22-2222-22-2-2-22-222-2-222-2-2-2220000-22-22-22-22-22-22-2-22000000002-22-2000000000000000000000000000000000000000000000000002i−2i2i−2i
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χ432-22-22-22-222-22-22-2-22-222-2-222-2-2-2222i−2i2i−2i-22-22-22-2-22-22-222-22i−2i2i−2i2i−2i2i−2i-22-222i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000
χ442-22-22-22-222-22-22-2-22-222-2-222-2-2-222−2i2i−2i2i-22-22-22-2-22-22-222-2−2i2i−2i2i−2i2i−2i2i-22-22−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000
χ452-22-22-22-22-1-22-22-212-22-1112-1-21-2-1-12i−2i2i−2i1-11-11-11-221-1-2-1212i−2i−ii2i−2i−ii1-11-1−i−iii−i−iii00000000000000003−33−33−33−3000000000000−i3i3−i3i3000000
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χ482-22-22-22-22-1-22-22-212-22-1112-1-21-2-1-1−2i2i−2i2i1-11-11-11-221-1-2-121−2i2ii−i−2i2ii−i1-11-1ii−i−iii−i−i0000000000000000−33−33−33−33000000000000−i3i3−i3i3000000
χ492-22-22-22-2-12-22-221-2-11-12-2-2-121-212-12i−2i2i−2i1-11-11-111-1-2212-1-2−ii2i−2i−ii2i−2i1-11-1−i−iii−i−iii00000000−i3i3−i3i3−i3i3−i3i300000000000000003−33−30000000000
χ502-22-22-22-2-12-22-221-2-11-12-2-2-121-212-12i−2i2i−2i1-11-11-111-1-2212-1-2−ii2i−2i−ii2i−2i1-11-1−i−iii−i−iii00000000i3−i3i3−i3i3−i3i3−i30000000000000000−33−330000000000
χ512-22-22-22-2-12-22-221-2-11-12-2-2-121-212-1−2i2i−2i2i1-11-11-111-1-2212-1-2i−i−2i2ii−i−2i2i1-11-1ii−i−iii−i−i00000000−i3i3−i3i3−i3i3−i3i30000000000000000−33−330000000000
χ522-22-22-22-2-12-22-221-2-11-12-2-2-121-212-1−2i2i−2i2i1-11-11-111-1-2212-1-2i−i−2i2ii−i−2i2i1-11-1ii−i−iii−i−i00000000i3−i3i3−i3i3−i3i3−i300000000000000003−33−30000000000
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χ562-2-22-222-222-222-2-2-2-22-2-22222-2-22-22−2i2i2i−2i-2-22-222-2-22-222-2-22−2i2i−2i2i2i−2i2i−2i-222-2−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000000000000000
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χ8144-444-4-4-44-200004-2-4442-22-42-42-4-2-20000-22-2-2222000000000000000000000000000000000000000000006−6−66−666−60000000000000000000000
χ8244-444-4-4-44-200004-2-4442-22-42-42-4-2-20000-22-2-222200000000000000000000000000000000000000000000−666−66−6−660000000000000000000000
χ8344-444-4-4-4-240000-242-2-2-44-42-42-424-20000-22-2-2222000000000000000000000000000000000000i6−i6−i6i6−i6i6i6−i6000000000000000000000000000000
χ8444-444-4-4-4-240000-242-2-2-44-42-42-424-20000-22-2-2222000000000000000000000000000000000000−i6i6i6−i6i6−i6−i6i6000000000000000000000000000000
χ8544-4-4-4-4444-2-4-4444-2-4-4-42224-24-2-42-20000-22222-2-2-4-4224-24-20000000022-2-2000000000000000000000000000000000000000000000000000000
χ8644-4-4-4-444-24-4-444-24222-4-4-4-24-242-4-20000-22222-2-222-4-4-24-240000000022-2-2000000000000000000000000000000000000000000000000000000
χ8744-4-4-4-444-2-244-4-4-2-2222222-2-2-2-222144-4-41-1-1-1-111-2-2-2-22222-2-2-2-2222211-1-11111-1-1-1-10000000000000000000000000000000000000000000000
χ8844-4-4-4-444-2-244-4-4-2-2222222-2-2-2-2221-4-4441-1-1-1-111-2-2-2-222222222-2-2-2-211-1-1-1-1-1-111110000000000000000000000000000000000000000000000
χ8944-4-4-4-444-2-2-4-444-2-2222222-2-2-2-222100001-1-1-1-1112222-2-2-2-200000000-1-1113-33-3-33-330000000000000000000000000000000000000000000000
χ9044-4-4-4-444-2-2-4-444-2-2222222-2-2-2-222100001-1-1-1-1112222-2-2-2-200000000-1-111-33-333-33-30000000000000000000000000000000000000000000000
χ914-444-4-4-444-20000-4244-4-2-22-424-2-42-200002-2-2222-200000000000000000000000000000000−2i22i2−2i22i200000000i2i2−i2−i2i2i2−i2−i20000000000000000000000
χ924-444-4-4-444-20000-4244-4-2-22-424-2-42-200002-2-2222-2000000000000000000000000000000002i2−2i22i2−2i200000000−i2−i2i2i2−i2−i2i2i20000000000000000000000
χ934-444-4-4-44-2400002-4-2-2244-42-4-242-4-200002-2-2222-20000000000000000000000000000−2i22i2−2i22i20000i2i2−i2−i2i2i2−i2−i2000000000000000000000000000000
χ944-444-4-4-44-2400002-4-2-2244-42-4-242-4-200002-2-2222-200000000000000000000000000002i2−2i22i2−2i20000−i2−i2i2i2−i2−i2i2i2000000000000000000000000000000
χ954-44-44-44-44-24-44-4-424-44-2224-2-42-4-2-200002-22-22-224-4-2242-4-200000000-22-22000000000000000000000000000000000000000000000000000000
χ964-44-44-44-4-244-44-42-4-22-24-4-4-242-424-200002-22-22-22-224-4-2-42400000000-22-22000000000000000000000000000000000000000000000000000000
χ974-44-44-44-4-2-24-44-422-22-2-222-2-2222-210000-11-11-11-1-22-22-222-2000000001-11-13i−3i−3i3i3i−3i−3i3i0000000000000000000000000000000000000000000000
χ984-44-44-44-4-2-24-44-422-22-2-222-2-2222-210000-11-11-11-1-22-22-222-2000000001-11-1−3i3i3i−3i−3i3i3i−3i0000000000000000000000000000000000000000000000
χ994-44-44-44-4-2-2-44-4422-22-2-222-2-2222-214i−4i4i−4i-11-11-11-12-22-22-2-22−2i2i−2i2i−2i2i−2i2i-11-11ii−i−iii−i−i0000000000000000000000000000000000000000000000
χ1004-44-44-44-4-2-2-44-4422-22-2-222-2-2222-21−4i4i−4i4i-11-11-11-12-22-22-2-222i−2i2i−2i2i−2i2i−2i-11-11−i−iii−i−iii0000000000000000000000000000000000000000000000
χ1014-4-44-444-44-24-4-44-42-44-42-2-24-2-4242-2000022-22-2-224-4-22-4-24200000000-222-2000000000000000000000000000000000000000000000000000000
χ1024-4-44-444-4-244-4-442-42-22-444-242-4-2-4-2000022-22-2-22-224-424-2-400000000-222-2000000000000000000000000000000000000000000000000000000
χ1034-4-44-444-4-2-24-4-44222-222-2-2-2-222-2210000-1-11-111-1-22-222-2-22000000001-1-113i−3i−3i3i−3i3i3i−3i0000000000000000000000000000000000000000000000
χ1044-4-44-444-4-2-24-4-44222-222-2-2-2-222-2210000-1-11-111-1-22-222-2-22000000001-1-11−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000000000000000000000
χ1054-4-44-444-4-2-2-444-4222-222-2-2-2-222-2214i−4i−4i4i-1-11-111-12-22-2-222-2−2i2i−2i2i2i−2i2i−2i-111-1ii−i−i−i−iii0000000000000000000000000000000000000000000000
χ1064-4-44-444-4-2-2-444-4222-222-2-2-2-222-221−4i4i4i−4i-1-11-111-12-22-2-222-22i−2i2i−2i−2i2i−2i2i-111-1−i−iiiii−i−i0000000000000000000000000000000000000000000000
χ1074-4-4-444-444-20000-42-4-4422-2-424-24-2-20000222-2-22-20000000000000000000000000000000022−22−222200000000−2−22222−2−20000000000000000000000
χ1084-4-4-444-444-20000-42-4-4422-2-424-24-2-20000222-2-22-200000000000000000000000000000000−222222−220000000022−2−2−2−2220000000000000000000000
χ1094-4-4-444-44-2400002-422-2-4-442-4-24-24-20000222-2-22-2000000000000000000000000000022−22−22220000−2−22222−2−2000000000000000000000000000000
χ1104-4-4-444-44-2400002-422-2-4-442-4-24-24-20000222-2-22-20000000000000000000000000000−222222−22000022−2−2−2−222000000000000000000000000000000
χ111888-8-88-8-8-4-40000-4-4-444-44-44444-442000022-2-22-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-888-8-8-8-4-40000-4-44-4-44-4444444-4200002-222-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-888-8-8-88-4-4000044-4-44-4-4444-4-44420000-222-2-2-2200000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-8-888-88-4-400004444-444-444-4-4-4-420000-2-2-222-2200000000000000000000000000000000000000000000000000000000000000000000000000

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