Finite Group Databasebeta

← Group #11783178

Character table — Group #11783178

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111222222444444444444444444444444444444449999181818181818363636363636363611112222224444444444444444444444444444444499991818181818183636363636363636
order124424444433666666121212121212121212121212121212121212121212121212224424444444448888224424444466666666121212121212121212121212121212121212121212121212224424444444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii
χ5111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ6111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ7111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii
χ8111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i
χ911-1-1-11ii−i−i1111-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1-11ii−i−i1-11-1i−ii−i11-1-1-11ii−i−i1111-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1-11ii−i−i1-11-1i−ii−i
χ1011-1-1-11ii−i−i1111-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1-11ii−i−i-11-11−ii−ii11-1-1-11ii−i−i1111-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1-11ii−i−i-11-11−ii−ii
χ1111-1-1-11ii−i−i1111-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1111-1−i−iiii−i−ii-111-111-1-1-11ii−i−i1111-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1111-1−i−iiii−i−ii-111-1
χ1211-1-1-11ii−i−i1111-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1111-1−i−iii−iii−i1-1-1111-1-1-11ii−i−i1111-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1111-1−i−iii−iii−i1-1-11
χ1311-1-1-11−i−iii1111-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1-11−i−iii1-11-1−ii−ii11-1-1-11−i−iii1111-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1-11−i−iii1-11-1−ii−ii
χ1411-1-1-11−i−iii1111-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1-11−i−iii-11-11i−ii−i11-1-1-11−i−iii1111-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1-11−i−iii-11-11i−ii−i
χ1511-1-1-11−i−iii1111-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1111-1ii−i−ii−i−ii1-1-1111-1-1-11−i−iii1111-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1111-1ii−i−ii−i−ii1-1-11
χ1611-1-1-11−i−iii1111-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1111-1ii−i−i−iii−i-111-111-1-1-11−i−iii1111-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1111-1ii−i−i−iii−i-111-1
χ172222-2-200002222-2-2-2-2-2-2-2-2222200000000000000002222-2-20000000000002222-2-200002222-2-2-2-2-2-2-2-2222200000000000000002222-2-2000000000000
χ182222-2-200002222-2-2-2-2-2-2-2-222220000000000000000-2-2-2-2220000000000002222-2-200002222-2-2-2-2-2-2-2-222220000000000000000-2-2-2-222000000000000
χ1922-2-22-2000022222222-2-2-2-2-2-2-2-2000000000000000022-2-22-200000000000022-2-22-2000022222222-2-2-2-2-2-2-2-2000000000000000022-2-22-2000000000000
χ2022-2-22-2000022222222-2-2-2-2-2-2-2-20000000000000000-2-222-2200000000000022-2-22-2000022222222-2-2-2-2-2-2-2-20000000000000000-2-222-22000000000000
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χ222-22i−2i001+i−1−i1−i−1+i22-2-2000000002i2i−2i−2i1+i1+i1+i1+i−1−i−1−i−1−i−1−i1−i1−i1−i1−i−1+i−1+i−1+i−1+i-22−2i2i00−1−i1+i−1+i1−i000000002-22i−2i001+i−1−i1−i−1+i22-2-2000000002i2i−2i−2i1+i1+i1+i1+i−1−i−1−i−1−i−1−i1−i1−i1−i1−i−1+i−1+i−1+i−1+i-22−2i2i00−1−i1+i−1+i1−i00000000
χ232-22i−2i00−1−i1+i−1+i1−i22-2-2000000002i2i−2i−2i−1−i−1−i−1−i−1−i1+i1+i1+i1+i−1+i−1+i−1+i−1+i1−i1−i1−i1−i2-22i−2i00−1−i1+i−1+i1−i000000002-22i−2i00−1−i1+i−1+i1−i22-2-2000000002i2i−2i−2i−1−i−1−i−1−i−1−i1+i1+i1+i1+i−1+i−1+i−1+i−1+i1−i1−i1−i1−i2-22i−2i00−1−i1+i−1+i1−i00000000
χ242-22i−2i00−1−i1+i−1+i1−i22-2-2000000002i2i−2i−2i−1−i−1−i−1−i−1−i1+i1+i1+i1+i−1+i−1+i−1+i−1+i1−i1−i1−i1−i-22−2i2i001+i−1−i1−i−1+i000000002-22i−2i00−1−i1+i−1+i1−i22-2-2000000002i2i−2i−2i−1−i−1−i−1−i−1−i1+i1+i1+i1+i−1+i−1+i−1+i−1+i1−i1−i1−i1−i-22−2i2i001+i−1−i1−i−1+i00000000
χ252-2−2i2i001−i−1+i1+i−1−i22-2-200000000−2i−2i2i2i1−i1−i1−i1−i−1+i−1+i−1+i−1+i1+i1+i1+i1+i−1−i−1−i−1−i−1−i2-2−2i2i001−i−1+i1+i−1−i000000002-2−2i2i001−i−1+i1+i−1−i22-2-200000000−2i−2i2i2i1−i1−i1−i1−i−1+i−1+i−1+i−1+i1+i1+i1+i1+i−1−i−1−i−1−i−1−i2-2−2i2i001−i−1+i1+i−1−i00000000
χ262-2−2i2i001−i−1+i1+i−1−i22-2-200000000−2i−2i2i2i1−i1−i1−i1−i−1+i−1+i−1+i−1+i1+i1+i1+i1+i−1−i−1−i−1−i−1−i-222i−2i00−1+i1−i−1−i1+i000000002-2−2i2i001−i−1+i1+i−1−i22-2-200000000−2i−2i2i2i1−i1−i1−i1−i−1+i−1+i−1+i−1+i1+i1+i1+i1+i−1−i−1−i−1−i−1−i-222i−2i00−1+i1−i−1−i1+i00000000
χ272-2−2i2i00−1+i1−i−1−i1+i22-2-200000000−2i−2i2i2i−1+i−1+i−1+i−1+i1−i1−i1−i1−i−1−i−1−i−1−i−1−i1+i1+i1+i1+i2-2−2i2i00−1+i1−i−1−i1+i000000002-2−2i2i00−1+i1−i−1−i1+i22-2-200000000−2i−2i2i2i−1+i−1+i−1+i−1+i1−i1−i1−i1−i−1−i−1−i−1−i−1−i1+i1+i1+i1+i2-2−2i2i00−1+i1−i−1−i1+i00000000
χ282-2−2i2i00−1+i1−i−1−i1+i22-2-200000000−2i−2i2i2i−1+i−1+i−1+i−1+i1−i1−i1−i1−i−1−i−1−i−1−i−1−i1+i1+i1+i1+i-222i−2i001−i−1+i1+i−1−i000000002-2−2i2i00−1+i1−i−1−i1+i22-2-200000000−2i−2i2i2i−1+i−1+i−1+i−1+i1−i1−i1−i1−i−1−i−1−i−1−i−1−i1+i1+i1+i1+i-222i−2i001−i−1+i1+i−1−i00000000
χ2944444444441-21-211-2-211-2-21-21-211-2-211-2-211-2-211-2-200000000000000000044444444441-21-211-2-211-2-21-21-211-2-211-2-211-2-211-2-2000000000000000000
χ304444444444-21-21-2-211-2-211-21-21-2-211-2-211-2-211-2-2110000000000000000004444444444-21-21-2-211-2-211-21-21-2-211-2-211-2-211-2-211000000000000000000
χ31444444-4-4-4-41-21-211-2-211-2-21-21-2-1-122-1-122-1-122-1-122000000000000000000444444-4-4-4-41-21-211-2-211-2-21-21-2-1-122-1-122-1-122-1-122000000000000000000
χ32444444-4-4-4-4-21-21-2-211-2-211-21-2122-1-122-1-122-1-122-1-1000000000000000000444444-4-4-4-4-21-21-2-211-2-211-21-2122-1-122-1-122-1-122-1-1000000000000000000
χ334444-4-400001-21-2-1-122-1-1221-21-23i−3i003i−3i003i−3i003i−3i000000000000000000004444-4-400001-21-2-1-122-1-1221-21-23i−3i003i−3i003i−3i003i−3i00000000000000000000
χ344444-4-400001-21-2-1-122-1-1221-21-2−3i3i00−3i3i00−3i3i00−3i3i000000000000000000004444-4-400001-21-2-1-122-1-1221-21-2−3i3i00−3i3i00−3i3i00−3i3i00000000000000000000
χ354444-4-40000-21-2122-1-122-1-1-21-21003i−3i003i−3i003i−3i003i−3i0000000000000000004444-4-40000-21-2122-1-122-1-1-21-21003i−3i003i−3i003i−3i003i−3i000000000000000000
χ364444-4-40000-21-2122-1-122-1-1-21-2100−3i3i00−3i3i00−3i3i00−3i3i0000000000000000004444-4-40000-21-2122-1-122-1-1-21-2100−3i3i00−3i3i00−3i3i00−3i3i000000000000000000
χ3744-4-44-400001-21-211-2-2-1-122-12-123-3003-300-3300-330000000000000000000044-4-44-400001-21-211-2-2-1-122-12-123-3003-300-3300-3300000000000000000000
χ3844-4-44-400001-21-211-2-2-1-122-12-12-3300-33003-3003-30000000000000000000044-4-44-400001-21-211-2-2-1-122-12-12-3300-33003-3003-300000000000000000000
χ3944-4-44-40000-21-21-2-21122-1-12-12-1003-3003-300-3300-3300000000000000000044-4-44-40000-21-21-2-21122-1-12-12-1003-3003-300-3300-33000000000000000000
χ4044-4-44-40000-21-21-2-21122-1-12-12-100-3300-33003-3003-300000000000000000044-4-44-40000-21-21-2-21122-1-12-12-100-3300-33003-3003-3000000000000000000
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χ4244-4-4-444i4i−4i−4i-21-2122-1-1-2-2112-12-1−2i−2iii−2i−2iii2i2i−i−i2i2i−i−i00000000000000000044-4-4-444i4i−4i−4i-21-2122-1-1-2-2112-12-1−2i−2iii−2i−2iii2i2i−i−i2i2i−i−i000000000000000000
χ4344-4-4-44−4i−4i4i4i1-21-2-1-12211-2-2-12-12−i−i2i2i−i−i2i2iii−2i−2iii−2i−2i00000000000000000044-4-4-44−4i−4i4i4i1-21-2-1-12211-2-2-12-12−i−i2i2i−i−i2i2iii−2i−2iii−2i−2i000000000000000000
χ4444-4-4-44−4i−4i4i4i-21-2122-1-1-2-2112-12-12i2i−i−i2i2i−i−i−2i−2iii−2i−2iii00000000000000000044-4-4-44−4i−4i4i4i-21-2122-1-1-2-2112-12-12i2i−i−i2i2i−i−i−2i−2iii−2i−2iii000000000000000000
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χ474-44i−4i002+2i−2−2i2−2i−2+2i-212-1003-3003i−3i−2ii2i−i−1−i−1−i2−i−1+2i1+i1+i−2+i1−2i−1+i−1+i−1−2i2+i1−i1−i1+2i−2−i0000000000000000004-44i−4i002+2i−2−2i2−2i−2+2i-212-1003-3003i−3i−2ii2i−i−1−i−1−i2−i−1+2i1+i1+i−2+i1−2i−1+i−1+i−1−2i2+i1−i1−i1+2i−2−i000000000000000000
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χ514-44i−4i00−2−2i2+2i−2+2i2−2i-212-1003-3003i−3i−2ii2i−i1+i1+i−2+i1−2i−1−i−1−i2−i−1+2i1−i1−i1+2i−2−i−1+i−1+i−1−2i2+i0000000000000000004-44i−4i00−2−2i2+2i−2+2i2−2i-212-1003-3003i−3i−2ii2i−i1+i1+i−2+i1−2i−1−i−1−i2−i−1+2i1−i1−i1+2i−2−i−1+i−1+i−1−2i2+i000000000000000000
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χ1064-44i−4i002+2i−2−2i2−2i−2+2i1-2-12-3300−3i3i00i−2i−i2i−1+2i2−i−1−i−1−i1−2i−2+i1+i1+i2+i−1−2i−1+i−1+i−2−i1+2i1−i1−i000000000000000000-44−4i4i00−2−2i2+2i−2+2i2−2i-121-23-3003i−3i00−i2ii−2i1−2i−2+i1+i1+i−1+2i2−i−1−i−1−i−2−i1+2i1−i1−i2+i−1−2i−1+i−1+i000000000000000000
χ1074-44i−4i002+2i−2−2i2−2i−2+2i-212-1003-3003i−3i−2ii2i−i−1−i−1−i2−i−1+2i1+i1+i−2+i1−2i−1+i−1+i−1−2i2+i1−i1−i1+2i−2−i000000000000000000-44−4i4i00−2−2i2+2i−2+2i2−2i2-1-2100-3300−3i3i2i−i−2ii1+i1+i−2+i1−2i−1−i−1−i2−i−1+2i1−i1−i1+2i−2−i−1+i−1+i−1−2i2+i000000000000000000
χ1084-44i−4i002+2i−2−2i2−2i−2+2i-212-100-3300−3i3i−2ii2i−i−1−i−1−i−1+2i2−i1+i1+i1−2i−2+i−1+i−1+i2+i−1−2i1−i1−i−2−i1+2i000000000000000000-44−4i4i00−2−2i2+2i−2+2i2−2i2-1-21003-3003i−3i2i−i−2ii1+i1+i1−2i−2+i−1−i−1−i−1+2i2−i1−i1−i−2−i1+2i−1+i−1+i2+i−1−2i000000000000000000
χ1094-44i−4i00−2−2i2+2i−2+2i2−2i1-2-123-3003i−3i00i−2i−i2i−2+i1−2i1+i1+i2−i−1+2i−1−i−1−i1+2i−2−i1−i1−i−1−2i2+i−1+i−1+i000000000000000000-44−4i4i002+2i−2−2i2−2i−2+2i-121-2-3300−3i3i00−i2ii−2i2−i−1+2i−1−i−1−i−2+i1−2i1+i1+i−1−2i2+i−1+i−1+i1+2i−2−i1−i1−i000000000000000000
χ1104-44i−4i00−2−2i2+2i−2+2i2−2i1-2-12-3300−3i3i00i−2i−i2i1−2i−2+i1+i1+i−1+2i2−i−1−i−1−i−2−i1+2i1−i1−i2+i−1−2i−1+i−1+i000000000000000000-44−4i4i002+2i−2−2i2−2i−2+2i-121-23-3003i−3i00−i2ii−2i−1+2i2−i−1−i−1−i1−2i−2+i1+i1+i2+i−1−2i−1+i−1+i−2−i1+2i1−i1−i000000000000000000
χ1114-44i−4i00−2−2i2+2i−2+2i2−2i-212-1003-3003i−3i−2ii2i−i1+i1+i−2+i1−2i−1−i−1−i2−i−1+2i1−i1−i1+2i−2−i−1+i−1+i−1−2i2+i000000000000000000-44−4i4i002+2i−2−2i2−2i−2+2i2-1-2100-3300−3i3i2i−i−2ii−1−i−1−i2−i−1+2i1+i1+i−2+i1−2i−1+i−1+i−1−2i2+i1−i1−i1+2i−2−i000000000000000000
χ1124-44i−4i00−2−2i2+2i−2+2i2−2i-212-100-3300−3i3i−2ii2i−i1+i1+i1−2i−2+i−1−i−1−i−1+2i2−i1−i1−i−2−i1+2i−1+i−1+i2+i−1−2i000000000000000000-44−4i4i002+2i−2−2i2−2i−2+2i2-1-21003-3003i−3i2i−i−2ii−1−i−1−i−1+2i2−i1+i1+i1−2i−2+i−1+i−1+i2+i−1−2i1−i1−i−2−i1+2i000000000000000000
χ1134-4−4i4i002−2i−2+2i2+2i−2−2i1-2-123-300−3i3i00−i2ii−2i2+i−1−2i−1+i−1+i−2−i1+2i1−i1−i−1+2i2−i−1−i−1−i1−2i−2+i1+i1+i000000000000000000-444i−4i00−2+2i2−2i−2−2i2+2i-121-2-33003i−3i00i−2i−i2i−2−i1+2i1−i1−i2+i−1−2i−1+i−1+i1−2i−2+i1+i1+i−1+2i2−i−1−i−1−i000000000000000000
χ1144-4−4i4i002−2i−2+2i2+2i−2−2i1-2-12-33003i−3i00−i2ii−2i−1−2i2+i−1+i−1+i1+2i−2−i1−i1−i2−i−1+2i−1−i−1−i−2+i1−2i1+i1+i000000000000000000-444i−4i00−2+2i2−2i−2−2i2+2i-121-23-300−3i3i00i−2i−i2i1+2i−2−i1−i1−i−1−2i2+i−1+i−1+i−2+i1−2i1+i1+i2−i−1+2i−1−i−1−i000000000000000000
χ1154-4−4i4i002−2i−2+2i2+2i−2−2i-212-1003-300−3i3i2i−i−2ii−1+i−1+i2+i−1−2i1−i1−i−2−i1+2i−1−i−1−i−1+2i2−i1+i1+i1−2i−2+i000000000000000000-444i−4i00−2+2i2−2i−2−2i2+2i2-1-2100-33003i−3i−2ii2i−i1−i1−i−2−i1+2i−1+i−1+i2+i−1−2i1+i1+i1−2i−2+i−1−i−1−i−1+2i2−i000000000000000000
χ1164-4−4i4i002−2i−2+2i2+2i−2−2i-212-100-33003i−3i2i−i−2ii−1+i−1+i−1−2i2+i1−i1−i1+2i−2−i−1−i−1−i2−i−1+2i1+i1+i−2+i1−2i000000000000000000-444i−4i00−2+2i2−2i−2−2i2+2i2-1-21003-300−3i3i−2ii2i−i1−i1−i1+2i−2−i−1+i−1+i−1−2i2+i1+i1+i−2+i1−2i−1−i−1−i2−i−1+2i000000000000000000
χ1174-4−4i4i00−2+2i2−2i−2−2i2+2i1-2-123-300−3i3i00−i2ii−2i−2−i1+2i1−i1−i2+i−1−2i−1+i−1+i1−2i−2+i1+i1+i−1+2i2−i−1−i−1−i000000000000000000-444i−4i002−2i−2+2i2+2i−2−2i-121-2-33003i−3i00i−2i−i2i2+i−1−2i−1+i−1+i−2−i1+2i1−i1−i−1+2i2−i−1−i−1−i1−2i−2+i1+i1+i000000000000000000
χ1184-4−4i4i00−2+2i2−2i−2−2i2+2i1-2-12-33003i−3i00−i2ii−2i1+2i−2−i1−i1−i−1−2i2+i−1+i−1+i−2+i1−2i1+i1+i2−i−1+2i−1−i−1−i000000000000000000-444i−4i002−2i−2+2i2+2i−2−2i-121-23-300−3i3i00i−2i−i2i−1−2i2+i−1+i−1+i1+2i−2−i1−i1−i2−i−1+2i−1−i−1−i−2+i1−2i1+i1+i000000000000000000
χ1194-4−4i4i00−2+2i2−2i−2−2i2+2i-212-1003-300−3i3i2i−i−2ii1−i1−i−2−i1+2i−1+i−1+i2+i−1−2i1+i1+i1−2i−2+i−1−i−1−i−1+2i2−i000000000000000000-444i−4i002−2i−2+2i2+2i−2−2i2-1-2100-33003i−3i−2ii2i−i−1+i−1+i2+i−1−2i1−i1−i−2−i1+2i−1−i−1−i−1+2i2−i1+i1+i1−2i−2+i000000000000000000
χ1204-4−4i4i00−2+2i2−2i−2−2i2+2i-212-100-33003i−3i2i−i−2ii1−i1−i1+2i−2−i−1+i−1+i−1−2i2+i1+i1+i−2+i1−2i−1−i−1−i2−i−1+2i000000000000000000-444i−4i002−2i−2+2i2+2i−2−2i2-1-21003-300−3i3i−2ii2i−i−1+i−1+i−1−2i2+i1−i1−i1+2i−2−i−1−i−1−i2−i−1+2i1+i1+i−2+i1−2i000000000000000000

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