Finite Group Databasebeta

← Group #13150637

Character table — Group #13150637

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111222222446666666666661212121212121212121218181818181818181818181836363636363636363636363611112222224466666666666612121212121212121212181818181818181818181818363636363636363636363636
order122234466612123366666612121212366612121212121244441212121212121212244466121212121212222264466612126666666612121212666612121212121244441212121212121212244466121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-111
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-1-1
χ511111-1-1111-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-111111-1-1111-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-1
χ611111-1-1111-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-111-1-11111111-1-1111-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-111-1-111
χ711111-1-1111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111-1-111111-1-1-1-111111-1-1111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111-1-111111-1-1-1-1
χ811111-1-1111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-111-1-1-1-1-1111111111-1-1111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-111-1-1-1-1-11111
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χ102222222222222-1-12-122-12222-1-1-1-1-1-1-1-1-1-1000000000000-20-20110000112222222222222-1-12-122-12222-1-1-1-1-1-1-1-1-1-1000000000000-20-2011000011
χ11222222222222-122-12-1-12-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1000000000000222222222222-122-12-1-12-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1000000000000
χ12222222222222-122-12-1-12-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-211111111000000000000222222222222-122-12-1-12-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-211111111000000000000
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χ1622222-2-2222-2-2-122-12-1-121111-1-1-1-1-2-21111-2-2221111-1-1-1-100000000000022222-2-2222-2-2-122-12-1-121111-1-1-1-1-2-21111-2-2221111-1-1-1-1000000000000
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χ282-22-22002-2-200-12-21-2-112−33−33-1-11100−33−33−2i2i00i−ii−i−i3i3−i3i30000000000002-22-22002-2-200-12-21-2-112−33−33-1-11100−33−33−2i2i00i−ii−i−i3i3−i3i3000000000000
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χ362-2-222−2i2i-22-2−2i2i2-1-1-21-221−2i2i2i−2i-11-11i−ii−i−ii0000000000000000i3−i300003−32-2-222−2i2i-22-2−2i2i2-1-1-21-221−2i2i2i−2i-11-11i−ii−i−ii0000000000000000i3−i300003−3
χ372-2-222−2i2i-22-2−2i2i-1221-21-1-2i−i−ii-11-11−2i2ii−i−ii0000−i3i3i3−i33−3−330000000000002-2-222−2i2i-22-2−2i2i-1221-21-1-2i−i−ii-11-11−2i2ii−i−ii0000−i3i3i3−i33−3−33000000000000
χ382-2-222−2i2i-22-2−2i2i-1221-21-1-2i−i−ii-11-11−2i2ii−i−ii0000i3−i3−i3i3−333−30000000000002-2-222−2i2i-22-2−2i2i-1221-21-1-2i−i−ii-11-11−2i2ii−i−ii0000i3−i3−i3i3−333−3000000000000
χ39444444444444-2-2-2-2-2-2-2-2-2-2-2-21111-2-21111000000000000000000000000444444444444-2-2-2-2-2-2-2-2-2-2-2-21111-2-21111000000000000000000000000
χ4044444-4-4444-4-4-2-2-2-2-2-2-2-22222111122-1-1-1-100000000000000000000000044444-4-4444-4-4-2-2-2-2-2-2-2-22222111122-1-1-1-1000000000000000000000000
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χ601111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
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χ621111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-11-111-1-1-1-111
χ6311111-1-1111-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-11111-1-111-1-111-1-111
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χ812-22-22002-2-20022-2-2-22-22000022-2-20000002i−2i002i−2i2i−2i0000000000000000-22-22-200-22200-2-2222-22-20000-2-222000000−2i2i00−2i2i−2i2i0000000000000000
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χ872-2-2222i−2i-22-22i−2i222-2-2-22-22i−2i−2i2i2-22-22i−2i2i−2i−2i2i000000000000000000000000-222-2-2−2i2i2-22−2i2i-2-2-2222-22−2i2i2i−2i-22-22−2i2i−2i2i2i−2i000000000000000000000000
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χ892-2-2222i−2i-22-22i−2i2-1-1-21-2212i−2i−2i2i-11-11−ii−iii−i0000000000000000i3−i30000−33-222-2-2−2i2i2-22−2i2i-2112-12-2-1−2i2i2i−2i1-11-1i−ii−i−ii0000000000000000−i3i300003−3
χ902-2-2222i−2i-22-22i−2i-1221-21-1-2−iii−i-11-112i−2i−iii−i0000−i3i3i3−i3−333−3000000000000-222-2-2−2i2i2-22−2i2i1-2-2-12-112i−i−ii1-11-1−2i2ii−i−ii0000i3−i3−i3i33−3−33000000000000
χ912-2-2222i−2i-22-22i−2i-1221-21-1-2−iii−i-11-112i−2i−iii−i0000i3−i3−i3i33−3−33000000000000-222-2-2−2i2i2-22−2i2i1-2-2-12-112i−i−ii1-11-1−2i2ii−i−ii0000−i3i3i3−i3−333−3000000000000
χ922-2-222−2i2i-22-2−2i2i222-2-2-22-2−2i2i2i−2i2-22-2−2i2i−2i2i2i−2i000000000000000000000000-222-2-22i−2i2-222i−2i-2-2-2222-222i−2i−2i2i-22-222i−2i2i−2i−2i2i000000000000000000000000
χ932-2-222−2i2i-22-2−2i2i2-1-1-21-221−2i2i2i−2i-11-11i−ii−i−ii0000000000000000−i3i30000−33-222-2-22i−2i2-222i−2i-2112-12-2-12i−2i−2i2i1-11-1−ii−iii−i0000000000000000i3−i300003−3
χ942-2-222−2i2i-22-2−2i2i2-1-1-21-221−2i2i2i−2i-11-11i−ii−i−ii0000000000000000i3−i300003−3-222-2-22i−2i2-222i−2i-2112-12-2-12i−2i−2i2i1-11-1−ii−iii−i0000000000000000−i3i30000−33
χ952-2-222−2i2i-22-2−2i2i-1221-21-1-2i−i−ii-11-11−2i2ii−i−ii0000−i3i3i3−i33−3−33000000000000-222-2-22i−2i2-222i−2i1-2-2-12-112−iii−i1-11-12i−2i−iii−i0000i3−i3−i3i3−333−3000000000000
χ962-2-222−2i2i-22-2−2i2i-1221-21-1-2i−i−ii-11-11−2i2ii−i−ii0000i3−i3−i3i3−333−3000000000000-222-2-22i−2i2-222i−2i1-2-2-12-112−iii−i1-11-12i−2i−iii−i0000−i3i3i3−i33−3−33000000000000
χ97444444444444-2-2-2-2-2-2-2-2-2-2-2-21111-2-21111000000000000000000000000-4-4-4-4-4-4-4-4-4-4-4-4222222222222-1-1-1-122-1-1-1-1000000000000000000000000
χ9844444-4-4444-4-4-2-2-2-2-2-2-2-22222111122-1-1-1-1000000000000000000000000-4-4-4-4-444-4-4-44422222222-2-2-2-2-1-1-1-1-2-21111000000000000000000000000
χ9944-4-4400-4-44004-224-2-4-420000-222-2000000000000000000000000000000-4-444-40044-400-42-2-4244-200002-2-22000000000000000000000000000000
χ10044-4-4400-4-4400-2-22-2-2222−2i3−2i32i32i31-1-1100i3i3−i3−i3000000000000000000000000-4-444-40044-40022-222-2-2-22i32i3−2i3−2i3-111-100−i3−i3i3i3000000000000000000000000
χ10144-4-4400-4-4400-2-22-2-22222i32i3−2i3−2i31-1-1100−i3−i3i3i3000000000000000000000000-4-444-40044-40022-222-2-2-2−2i3−2i32i32i3-111-100i3i3−i3−i3000000000000000000000000
χ1024-44-44004-4-4004-22-424-4-20000-2-222000000000000000000000000000000-44-44-400-44400-42-24-2-442000022-2-2000000000000000000000000000000
χ1034-44-44004-4-400-2-2222-22-223−2323−2311-1-100−33−33000000000000000000000000-44-44-400-4440022-2-2-22-22−2323−2323-1-111003−33−3000000000000000000000000
χ1044-44-44004-4-400-2-2222-22-2−2323−232311-1-1003−33−3000000000000000000000000-44-44-400-4440022-2-2-22-2223−2323−23-1-11100−33−33000000000000000000000000
χ1054-4-4444i−4i-44-44i−4i-2-2-2222-22−2i2i2i−2i1-11-1−2i2ii−i−ii000000000000000000000000-444-4-4−4i4i4-44−4i4i222-2-2-22-22i−2i−2i2i-11-112i−2i−iii−i000000000000000000000000
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χ1076666-366-3-3-3-3-30000000000000000000000000000000000020200-1-1-1-100-6-6-6-63-6-63333300000000000000000000000000000000000-20-200111100
χ1086666-366-3-3-3-3-300000000000000000000000000000000000-20-200111100-6-6-6-63-6-6333330000000000000000000000000000000000020200-1-1-1-100
χ1096666-3-6-6-3-3-3330000000000000000000000000000000000020-20011-1-100-6-6-6-6366333-3-300000000000000000000000000000000000-20200-1-11100
χ1106666-3-6-6-3-3-33300000000000000000000000000000000000-20200-1-11100-6-6-6-6366333-3-30000000000000000000000000000000000020-20011-1-100
χ1116-6-66-36i−6i3-33−3i3i0000000000000000000000000000000000000000−i3i33−300-666-63−6i6i-33-33i−3i0000000000000000000000000000000000000000i3−i3−3300
χ1126-6-66-36i−6i3-33−3i3i0000000000000000000000000000000000000000i3−i3−3300-666-63−6i6i-33-33i−3i0000000000000000000000000000000000000000−i3i33−300
χ1136-6-66-3−6i6i3-333i−3i0000000000000000000000000000000000000000−i3i3−3300-666-636i−6i-33-3−3i3i0000000000000000000000000000000000000000i3−i33−300
χ1146-6-66-3−6i6i3-333i−3i0000000000000000000000000000000000000000i3−i33−300-666-636i−6i-33-3−3i3i0000000000000000000000000000000000000000−i3i3−3300
χ1151212-12-12-60066-6000000000000000000000000000000000000000000000000-12-121212600-6-66000000000000000000000000000000000000000000000000
χ11612-1212-12-600-666000000000000000000000000000000000000000000000000-1212-12126006-6-6000000000000000000000000000000000000000000000000

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