Finite Group Databasebeta

← Group #11785348

Character table — Group #11785348

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111222222222222224444444444444444444444444444444444444444444444444444444444444444999918181818181818181818181818187272727272727272
order122222444488888888336666666666666612121212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242422222244448888888844444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii
χ51111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ61111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ71111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iii
χ81111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−i
χ91111-1-11-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11-11-11-11-1
χ101111-1-11-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-11-11-11-11
χ111111-1-11-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111i−ii−i−ii−ii
χ121111-1-11-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111−ii−iii−ii−i
χ131111-1-11-1-11-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-111-1-1-1-1-1-111111-1-111-1-11
χ141111-1-11-1-11-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-111-1-1-1-1-1-11111-111-1-111-1
χ151111-1-11-1-11-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1111111-1-1-1-1i−i−ii−iii−i
χ161111-1-11-1-11-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1111111-1-1-1-1−iii−ii−i−ii
χ17222222-2-2-2-2000000002222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000222222-2-2-2-20000000000000000
χ18222222-2-2-2-2000000002222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000-2-2-2-2-2-222220000000000000000
χ192222-2-2-222-200000000222222-2-2-2-2-2-2-2-222-2-2-2-222222222-2-2-2-2000000000000000000000000000000002222-2-2-2-2220000000000000000
χ202222-2-2-222-200000000222222-2-2-2-2-2-2-2-222-2-2-2-222222222-2-2-2-200000000000000000000000000000000-2-2-2-22222-2-20000000000000000
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χ2622-2-2000−2i2i0i2i2−i2−i2−2−2222222-2-200000000-2-20000−2i−2i−2i−2i2i2i2i2i0000i2i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2−2−2−2−2−2−2−2−222222222-2-22200002i−2i−i2−i2i2i222−2−200000000
χ2722-2-2000−2i2i0−i2−i2i2i222−2−22222-2-200000000-2-20000−2i−2i−2i−2i2i2i2i2i0000−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i222222222−2−2−2−2−2−2−2−222-2-20000−2i2i−i2−i2i2i222−2−200000000
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χ302-22-22-20000i2−i2i2−i2i2−i2i2−i222-2-2222222-2-2-2-2-2-20000000000000000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2-22-22-220000−i2i2−i2i2−i2i2−i2i200000000
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χ322-22-22-20000−i2i2−i2i2−i2i2−i2i222-2-2222222-2-2-2-2-2-20000000000000000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2-22-22-220000i2−i2i2−i2i2−i2i2−i200000000
χ332-22-2-220000i2−i2i2−i2−i2i2−i2i222-2-222-2-2-2-22222-2-20000000000000000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i22-22-2-220000i2−i2i2−i2−i2i2−i2i200000000
χ342-22-2-220000i2−i2i2−i2−i2i2−i2i222-2-222-2-2-2-22222-2-20000000000000000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2-22-222-20000−i2i2−i2i2i2−i2i2−i200000000
χ352-22-2-220000−i2i2−i2i2i2−i2i2−i222-2-222-2-2-2-22222-2-20000000000000000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i22-22-2-220000−i2i2−i2i2i2−i2i2−i200000000
χ362-22-2-220000−i2i2−i2i2i2−i2i2−i222-2-222-2-2-2-22222-2-20000000000000000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2-22-222-20000i2−i2i2−i2−i2i2−i2i200000000
χ372-2-2200200-200002i−2i−2i2i22-2-2-2-20000000022222200000000-2-2-2-200000000000000002i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2-2-22002-20000002i−2i−2i2i00000000
χ382-2-2200200-200002i−2i−2i2i22-2-2-2-20000000022222200000000-2-2-2-200000000000000002i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i-222-200-22000000−2i2i2i−2i00000000
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χ412-2-2200-20022-2-22000022-2-2-2-20000000022-2-2-2-20000000022222222-2-2-2-2-2-2-2-2222200000000000000002-2-2200-22002-2-22000000000000
χ422-2-2200-20022-2-22000022-2-2-2-20000000022-2-2-2-20000000022222222-2-2-2-2-2-2-2-222220000000000000000-222-2002-200-222-2000000000000
χ432-2-2200-2002-222-2000022-2-2-2-20000000022-2-2-2-2000000002222-2-2-2-222222222-2-2-2-200000000000000002-2-2200-2200-222-2000000000000
χ442-2-2200-2002-222-2000022-2-2-2-20000000022-2-2-2-2000000002222-2-2-2-222222222-2-2-2-20000000000000000-222-2002-2002-2-22000000000000
χ454444444444444444441-21-21-211-2-211-2-21-211-2-211-2-211-2-211-2-211-2-211-2-211-2-211-2-211-2-211-2-211-2-211-2-200000000000000000000000000
χ46444444444444444444-21-21-21-2-211-2-211-21-2-211-2-211-2-211-2-211-2-211-2-211-2-211-2-211-2-211-2-211-2-211-2-21100000000000000000000000000
χ474444444444-4-4-4-4-4-4-4-41-21-21-211-2-211-2-21-211-2-211-2-211-2-211-2-2-1-122-1-122-1-122-1-122-1-122-1-122-1-122-1-12200000000000000000000000000
χ484444444444-4-4-4-4-4-4-4-4-21-21-21-2-211-2-211-21-2-211-2-211-2-211-2-21122-1-122-1-122-1-122-1-122-1-122-1-122-1-122-1-100000000000000000000000000
χ49444444-4-4-4-4000000001-21-21-211-2-211-2-21-2-1-122-1-122-1-122-1-1223i−3i003i−3i003i−3i003i−3i003i−3i003i−3i003i−3i003i−3i0000000000000000000000000000
χ50444444-4-4-4-4000000001-21-21-211-2-211-2-21-2-1-122-1-122-1-122-1-122−3i3i00−3i3i00−3i3i00−3i3i00−3i3i00−3i3i00−3i3i00−3i3i0000000000000000000000000000
χ51444444-4-4-4-400000000-21-21-21-2-211-2-211-2122-1-122-1-122-1-122-1-1003i−3i003i−3i003i−3i003i−3i003i−3i003i−3i003i−3i003i−3i00000000000000000000000000
χ52444444-4-4-4-400000000-21-21-21-2-211-2-211-2122-1-122-1-122-1-122-1-100−3i3i00−3i3i00−3i3i00−3i3i00−3i3i00−3i3i00−3i3i00−3i3i00000000000000000000000000
χ534444-4-44-4-444444-4-4-4-41-21-21-2-1-122-1-1221-211-2-2-1-122-1-12211-2-211-2-211-2-211-2-211-2-2-1-122-1-122-1-122-1-12200000000000000000000000000
χ544444-4-44-4-444444-4-4-4-4-21-21-2122-1-122-1-1-21-2-21122-1-122-1-1-2-211-2-211-2-211-2-211-2-21122-1-122-1-122-1-122-1-100000000000000000000000000
χ554444-4-44-4-44-4-4-4-444441-21-21-2-1-122-1-1221-211-2-2-1-122-1-12211-2-2-1-122-1-122-1-122-1-12211-2-211-2-211-2-211-2-200000000000000000000000000
χ564444-4-44-4-44-4-4-4-44444-21-21-2122-1-122-1-1-21-2-21122-1-122-1-1-2-21122-1-122-1-122-1-122-1-1-2-211-2-211-2-211-2-21100000000000000000000000000
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χ6244-4-40004i−4i02i22i2−2i2−2i22222−22−221-21-2-12-3300-3300-12−3i3i00ii−2i−2i−i−i2i2i−3i3i00−ζ+2ζ32ζ−ζ3−i2−i2−ζ+2ζ32ζ−ζ3−i2−i2ζ−2ζ3−2ζ+ζ3i2i2ζ−2ζ3−2ζ+ζ3i2i2−ζ−2ζ32ζ+ζ3−2−2−ζ−2ζ32ζ+ζ3−2−2ζ+2ζ3−2ζ−ζ322ζ+2ζ3−2ζ−ζ32200000000000000000000000000
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χ1014-4-4400-40044-4-4400001-2-12-123-300-33001-2-1-122-33003-30011-2-211-2-2-1-122-1-12211-2-23-300-3300-33003-30000000000000000000000000000
χ1024-4-4400-40044-4-4400001-2-12-12-33003-3001-2-1-1223-300-330011-2-211-2-2-1-122-1-12211-2-2-33003-3003-300-330000000000000000000000000000
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χ1054-4-4400-4004-444-400001-2-12-123-300-33001-2-1-122-33003-30011-2-2-1-12211-2-211-2-2-1-122-33003-3003-300-330000000000000000000000000000
χ1064-4-4400-4004-444-400001-2-12-12-33003-3001-2-1-1223-300-330011-2-2-1-12211-2-211-2-2-1-1223-300-3300-33003-30000000000000000000000000000
χ1074-4-4400-4004-444-40000-212-12-1003-300-33-2122-1-100-33003-3-2-21122-1-1-2-211-2-21122-1-100-33003-3003-300-3300000000000000000000000000
χ1084-4-4400-4004-444-40000-212-12-100-33003-3-2122-1-1003-300-33-2-21122-1-1-2-211-2-21122-1-1003-300-3300-33003-300000000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.