Finite Group Databasebeta

← Group #13150617

Character table — Group #13150617

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111222222446666666666661212121212121212121218181818181818181818181836363636363636363636363611112222224466666666666612121212121212121212181818181818181818181818363636363636363636363636
order1222344666121233666666121212123666121212121212444412121212121212124444121212121212121222226446661212666666661212121266661212121212124444121212121212121244441212121212121212
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
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111
χ511111-1-1111-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-111-1-11111111-1-1111-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-111-1-111
χ611111-1-1111-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-111-1-111111-1-1111-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-111-1-1
χ711111-1-1111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111-1-11-1-11111-1-111111-1-1111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111-1-11-1-11111-1-1
χ811111-1-1111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-111-111-1-1-1-11111111-1-1111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-111-111-1-1-1-111
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χ102222222222222-12-12-1-12-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2111111110000000000002222222222222-12-12-1-12-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-211111111000000000000
χ11222222222222-12-12-122-12222-1-1-1-1-1-1-1-1-1-100000000000002020000-1-1-1-1222222222222-12-12-122-12222-1-1-1-1-1-1-1-1-1-100000000000002020000-1-1-1-1
χ12222222222222-12-12-122-12222-1-1-1-1-1-1-1-1-1-10000000000000-20-200001111222222222222-12-12-122-12222-1-1-1-1-1-1-1-1-1-10000000000000-20-200001111
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χ1622222-2-2222-2-2-12-12-122-1-2-2-2-2-1-1-1-11111110000000000000-2020000-1-11122222-2-2222-2-2-12-12-122-1-2-2-2-2-1-1-1-11111110000000000000-2020000-1-111
χ1722-2-22002-2-200222-2-22-2-2000022-2-20000002-20022-2-2000000000000000022-2-22002-2-200222-2-22-2-2000022-2-20000002-20022-2-20000000000000000
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χ302-2-2222i−2i-22-22i−2i2-1-2121-1-2−iii−i-11-112i−2i−iii−i00003−3−33i3−i3−i3i30000000000002-2-2222i−2i-22-22i−2i2-1-2121-1-2−iii−i-11-112i−2i−iii−i00003−3−33i3−i3−i3i3000000000000
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χ332-2-2222i−2i-22-22i−2i-121-2-1-2212i−2i−2i2i-11-11−ii−iii−i00000000000000000000i3−i3−332-2-2222i−2i-22-22i−2i-121-2-1-2212i−2i−2i2i-11-11−ii−iii−i00000000000000000000i3−i3−33
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χ362-2-222−2i2i-22-2−2i2i2-1-2121-1-2i−i−ii-11-11−2i2ii−i−ii0000−333−3i3−i3−i3i30000000000002-2-222−2i2i-22-2−2i2i2-1-2121-1-2i−i−ii-11-11−2i2ii−i−ii0000−333−3i3−i3−i3i3000000000000
χ372-2-222−2i2i-22-2−2i2i-121-2-1-221−2i2i2i−2i-11-11i−ii−i−ii00000000000000000000−i3i3−332-2-222−2i2i-22-2−2i2i-121-2-1-221−2i2i2i−2i-11-11i−ii−i−ii00000000000000000000−i3i3−33
χ382-2-222−2i2i-22-2−2i2i-121-2-1-221−2i2i2i−2i-11-11i−ii−i−ii00000000000000000000i3−i33−32-2-222−2i2i-22-2−2i2i-121-2-1-221−2i2i2i−2i-11-11i−ii−i−ii00000000000000000000i3−i33−3
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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χ4344-4-44004-4-400-2-2-222-222−23−23232311-1-10033−3−300000000000000000000000044-4-44004-4-400-2-2-222-222−23−23232311-1-10033−3−3000000000000000000000000
χ444-44-4400-4-4400-24242-4-4-20000-222-20000000000000000000000000000004-44-4400-4-4400-24242-4-4-20000-222-2000000000000000000000000000000
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χ496666-366-3-3-3-3-300000000000000000000000000000000002020-1-1-1-100006666-366-3-3-3-3-300000000000000000000000000000000002020-1-1-1-10000
χ506666-366-3-3-3-3-30000000000000000000000000000000000-20-20111100006666-366-3-3-3-3-30000000000000000000000000000000000-20-2011110000
χ516666-3-6-6-3-3-333000000000000000000000000000000000020-2011-1-100006666-3-6-6-3-3-333000000000000000000000000000000000020-2011-1-10000
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χ591111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
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
χ611111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11-11-1-1-1-11111
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χ6311111-1-1111-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-11111-1-11111-1-111-1-1
χ6411111-1-1111-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1111111-1-1-1-111-1-111
χ6511111-1-1111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111-1-11-1-11111-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-1-111-111-1-1-1-111
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χ7522-2-22002-2-200222-2-22-2-2000022-2-20000002-20022-2-20000000000000000-2-222-200-22200-2-2-222-2220000-2-222000000-2200-2-2220000000000000000
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χ8022-2-22002-2-2002-121-2-11-2−3−333-1-11100−3−333-220011-1-133−3−3000000000000-2-222-200-22200-21-2-121-1233−3−311-1-10033−3−32-200-1-111−3−333000000000000
χ812-22-2200-2-220022-22-2-2-2200002-2-22000000002i−2i00002i−2i2i−2i000000000000-22-22-20022-200-2-22-2222-20000-222-200000000−2i2i0000−2i2i−2i2i000000000000
χ822-22-2200-2-220022-22-2-2-2200002-2-2200000000−2i2i0000−2i2i−2i2i000000000000-22-22-20022-200-2-22-2222-20000-222-2000000002i−2i00002i−2i2i−2i000000000000
χ832-22-2200-2-22002-1-2-1-2112−i3i3−i3i3-111-100−i3i3−i3i3002i−2i3−33−3−ii−ii000000000000-22-22-20022-200-21212-1-1-2i3−i3i3−i31-1-1100i3−i3i3−i300−2i2i−33−33i−ii−i000000000000
χ842-22-2200-2-22002-1-2-1-2112−i3i3−i3i3-111-100−i3i3−i3i300−2i2i−33−33i−ii−i000000000000-22-22-20022-200-21212-1-1-2i3−i3i3−i31-1-1100i3−i3i3−i3002i−2i3−33−3−ii−ii000000000000
χ852-22-2200-2-22002-1-2-1-2112i3−i3i3−i3-111-100i3−i3i3−i3002i−2i−33−33−ii−ii000000000000-22-22-20022-200-21212-1-1-2−i3i3−i3i31-1-1100−i3i3−i3i300−2i2i3−33−3i−ii−i000000000000
χ862-22-2200-2-22002-1-2-1-2112i3−i3i3−i3-111-100i3−i3i3−i300−2i2i3−33−3i−ii−i000000000000-22-22-20022-200-21212-1-1-2−i3i3−i3i31-1-1100−i3i3−i3i3002i−2i−33−33−ii−ii000000000000
χ872-2-2222i−2i-22-22i−2i22-2-22-22-22i−2i−2i2i2-22-22i−2i2i−2i−2i2i000000000000000000000000-222-2-2−2i2i2-22−2i2i-2-222-22-22−2i2i2i−2i-22-22−2i2i−2i2i2i−2i000000000000000000000000
χ882-2-2222i−2i-22-22i−2i2-1-2121-1-2−iii−i-11-112i−2i−iii−i00003−3−33i3−i3−i3i3000000000000-222-2-2−2i2i2-22−2i2i-212-1-2-112i−i−ii1-11-1−2i2ii−i−ii0000−333−3−i3i3i3−i3000000000000
χ892-2-2222i−2i-22-22i−2i2-1-2121-1-2−iii−i-11-112i−2i−iii−i0000−333−3−i3i3i3−i3000000000000-222-2-2−2i2i2-22−2i2i-212-1-2-112i−i−ii1-11-1−2i2ii−i−ii00003−3−33i3−i3−i3i3000000000000
χ902-2-2222i−2i-22-22i−2i-121-2-1-2212i−2i−2i2i-11-11−ii−iii−i00000000000000000000−i3i33−3-222-2-2−2i2i2-22−2i2i1-2-1212-2-1−2i2i2i−2i1-11-1i−ii−i−ii00000000000000000000i3−i3−33
χ912-2-2222i−2i-22-22i−2i-121-2-1-2212i−2i−2i2i-11-11−ii−iii−i00000000000000000000i3−i3−33-222-2-2−2i2i2-22−2i2i1-2-1212-2-1−2i2i2i−2i1-11-1i−ii−i−ii00000000000000000000−i3i33−3
χ922-2-222−2i2i-22-2−2i2i22-2-22-22-2−2i2i2i−2i2-22-2−2i2i−2i2i2i−2i000000000000000000000000-222-2-22i−2i2-222i−2i-2-222-22-222i−2i−2i2i-22-222i−2i2i−2i−2i2i000000000000000000000000
χ932-2-222−2i2i-22-2−2i2i2-1-2121-1-2i−i−ii-11-11−2i2ii−i−ii00003−3−33−i3i3i3−i3000000000000-222-2-22i−2i2-222i−2i-212-1-2-112−iii−i1-11-12i−2i−iii−i0000−333−3i3−i3−i3i3000000000000
χ942-2-222−2i2i-22-2−2i2i2-1-2121-1-2i−i−ii-11-11−2i2ii−i−ii0000−333−3i3−i3−i3i3000000000000-222-2-22i−2i2-222i−2i-212-1-2-112−iii−i1-11-12i−2i−iii−i00003−3−33−i3i3i3−i3000000000000
χ952-2-222−2i2i-22-2−2i2i-121-2-1-221−2i2i2i−2i-11-11i−ii−i−ii00000000000000000000−i3i3−33-222-2-22i−2i2-222i−2i1-2-1212-2-12i−2i−2i2i1-11-1−ii−iii−i00000000000000000000i3−i33−3
χ962-2-222−2i2i-22-2−2i2i-121-2-1-221−2i2i2i−2i-11-11i−ii−i−ii00000000000000000000i3−i33−3-222-2-22i−2i2-222i−2i1-2-1212-2-12i−2i−2i2i1-11-1−ii−iii−i00000000000000000000−i3i3−33
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
χ9944-4-44004-4-400-24-2-424-420000-2-222000000000000000000000000000000-4-444-400-444002-424-2-44-2000022-2-2000000000000000000000000000000
χ10044-4-44004-4-400-2-2-222-2222323−23−2311-1-100−3−333000000000000000000000000-4-444-400-44400222-2-22-2-2−23−232323-1-1110033−3−3000000000000000000000000
χ10144-4-44004-4-400-2-2-222-222−23−23232311-1-10033−3−3000000000000000000000000-4-444-400-44400222-2-22-2-22323−23−23-1-11100−3−333000000000000000000000000
χ1024-44-4400-4-4400-24242-4-4-20000-222-2000000000000000000000000000000-44-44-40044-4002-4-2-4-244200002-2-22000000000000000000000000000000
χ1034-44-4400-4-4400-2-22-2222-2−2i32i3−2i32i31-1-1100i3−i3i3−i3000000000000000000000000-44-44-40044-40022-22-2-2-222i3−2i32i3−2i3-111-100−i3i3−i3i3000000000000000000000000
χ1044-44-4400-4-4400-2-22-2222-22i3−2i32i3−2i31-1-1100−i3i3−i3i3000000000000000000000000-44-44-40044-40022-22-2-2-22−2i32i3−2i32i3-111-100i3−i3i3−i3000000000000000000000000
χ1054-4-4444i−4i-44-44i−4i-2-222-22-22−2i2i2i−2i1-11-1−2i2ii−i−ii000000000000000000000000-444-4-4−4i4i4-44−4i4i22-2-22-22-22i−2i−2i2i-11-112i−2i−iii−i000000000000000000000000
χ1064-4-444−4i4i-44-4−4i4i-2-222-22-222i−2i−2i2i1-11-12i−2i−iii−i000000000000000000000000-444-4-44i−4i4-444i−4i22-2-22-22-2−2i2i2i−2i-11-11−2i2ii−i−ii000000000000000000000000
χ1076666-366-3-3-3-3-300000000000000000000000000000000002020-1-1-1-10000-6-6-6-63-6-6333330000000000000000000000000000000000-20-2011110000
χ1086666-366-3-3-3-3-30000000000000000000000000000000000-20-2011110000-6-6-6-63-6-63333300000000000000000000000000000000002020-1-1-1-10000
χ1096666-3-6-6-3-3-333000000000000000000000000000000000020-2011-1-10000-6-6-6-6366333-3-30000000000000000000000000000000000-2020-1-1110000
χ1106666-3-6-6-3-3-3330000000000000000000000000000000000-2020-1-1110000-6-6-6-6366333-3-3000000000000000000000000000000000020-2011-1-10000
χ1116-6-66-36i−6i3-33−3i3i00000000000000000000000000000000000000−i3i33−30000-666-63−6i6i-33-33i−3i00000000000000000000000000000000000000i3−i3−330000
χ1126-6-66-36i−6i3-33−3i3i00000000000000000000000000000000000000i3−i3−330000-666-63−6i6i-33-33i−3i00000000000000000000000000000000000000−i3i33−30000
χ1136-6-66-3−6i6i3-333i−3i00000000000000000000000000000000000000−i3i3−330000-666-636i−6i-33-3−3i3i00000000000000000000000000000000000000i3−i33−30000
χ1146-6-66-3−6i6i3-333i−3i00000000000000000000000000000000000000i3−i33−30000-666-636i−6i-33-3−3i3i00000000000000000000000000000000000000−i3i3−330000
χ1151212-12-12-600-666000000000000000000000000000000000000000000000000-12-1212126006-6-6000000000000000000000000000000000000000000000000
χ11612-1212-12-60066-6000000000000000000000000000000000000000000000000-1212-1212600-6-66000000000000000000000000000000000000000000000000

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