Finite Group Databasebeta

← Group #13172657

Character table — Group #13172657

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222444444444444444444444666666668888888888888121212121212121212121212121212121212121212121212121218182424242424242424242424243636363636363636363636727272108108
order1222333666666666233366666666666666666222266663666666666666244466666666666666666612121212226612121212121212121212224446612121212661244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-11-111111111111111111111-1-11111-1-11-111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-11111111111111111111-11-1-1111111-1-111111111-1-111-1-1-1-111-11-1-111111-1-11-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111111-1-1111111111111111111-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-111
χ51111111111111111111111111111111111111-1-111-1-1-1-11111111111111-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111111111111-111-1-1-1-1-1-1111-1-1-1-1
χ61111111111111111111111111111111111111-1-111-1-1-1-11111111111111-1-11-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-11-111-1-1-1-11-1-11-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-11-1-11111-1-1-1-111111-1-1-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ91111111111111111-1111-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-1111-1-1-1-1-11-1-11111-1-1-1-1111111-1-1-1-1-1-11111111-1-1-1-1-111-1-1-1-111-111-1-111-1-111-1
χ101111111111111111-1111-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-1111-1-1-1-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-11-11-1-1-1-11111-1-1-111-1-1-1-111-1-11
χ111111111111111111-1111-1-1-1-1111111-1-1-1-111111-1-111111-1-1-1-1-1111-1-1-1-1-111-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11-11111-1-1-11-111-1-111-1-11-11-11
χ121111111111111111-1111-1-1-1-1111111-1-1-1-111111-1-111111-1-1-1-1-1111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-111111-1-1111-11-11-1-11111-11-11-1
χ131111111111111111-1111-1-1-1-1111111-1-1-1-1111-1-111-1-1-1-11-1-1-1-1-1111-1-1-1-111-1-111-1-1111111-1-1-1-11111-1-111-1-1111-1-1-1-1-111-1-11-11-11-1-11111-11-1-11
χ141111111111111111-1111-1-1-1-1111111-1-1-1-1111-1-111-1-1-1-11-1-1-1-1-1111-1-1-1-11-1-1111-1-1111111-1-1-1-11111-1-1-1-1-1-111-11-11-1-1-1-111-11-111-1-111-1-11-111-1
χ151111111111111111-1111-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-1111-1-1-1-1-11111-1-1-1-1-1-11111111111-1-11-11-11111-1-111-1-1-111-1-1-1-111-11-1
χ161111111111111111-1111-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-11-111-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-111111-1-111-1-111-111-1-111-1-11-11
χ17222222-12-1-122222-122-1-122-1-12-1-1-1-1-1-1-1-1-122-12222-1-1-1-1-1222-1-1-1-1-1-1-1-1-12020222222-1-1-1-1-1-1-1-1-1-1-1-1-1-10022-1-10020-1-1000000002-1-1-1-10000000
χ18222222-12-1-122222-122-1-122-1-12-1-1-1-1-1-1-1-1-122-122-2-2-1-1-1-1-1222-1-1-1-1-1-1-1-1-120-20-2-22222-1-111-1-1-1-1-1-1-1-11100-2-21100-201100000000-211110000000
χ19222222-12-1-122222-122-1-122-1-12-1-1-1-1-1-1-1-1-122-1-2-2221111-1222-1-1-1-1-1-1-1-1-1-202022-2-2-2-211-1-111111111-1-100-2-2-1-10020-1-100000000-211110000000
χ20222222-12-1-122222-122-1-122-1-12-1-1-1-1-1-1-1-1-122-1-2-2-2-21111-1222-1-1-1-1-1-1-1-1-1-20-20-2-2-2-2-2-21111111111111100221100-2011000000002-1-1-1-10000000
χ21222222-12-1-122222-1-22-1-1-2-2112-1-1-1-1-1111122-12222-1-1-1-1-1-2-2-211-1-1-11111-20-202222-2-211-1-1-1-1-1-11111110022-1-100-201100000000-2-1-1110000000
χ22222222-12-1-122222-1-22-1-1-2-2112-1-1-1-1-1111122-122-2-2-1-1-1-1-1-2-2-211-1-1-11111-2020-2-222-2-21111-1-1-1-11111-1-100-2-2110020-1-100000000211-1-10000000
χ23222222-12-1-122222-1-22-1-1-2-2112-1-1-1-1-1111122-1-2-2221111-1-2-2-211-1-1-1111120-2022-2-222-1-1-1-11111-1-1-1-11100-2-2-1-100-201100000000211-1-10000000
χ24222222-12-1-122222-1-22-1-1-2-2112-1-1-1-1-1111122-1-2-2-2-21111-1-2-2-211-1-1-111112020-2-2-2-222-1-1111111-1-1-1-1-1-10022110020-1-100000000-2-1-1110000000
χ2522222-12222-1-12-1222-12-1-1-122-122-1-1-1-1-1-1-1-1-1222002222-12-1-122-1-1-1-1-1-1-1220200-1-1-1-12200-1-1-1-1-1-1-1-100220000-1-10200-1-1-1-1200200000000-1-100
χ2622222-12222-1-12-1222-12-1-1-122-122-1-1-1-1-1-1-1-1-1222002222-12-1-122-1-1-1-1-1-1-12-20-200-1-1-1-12200-1-1-1-1-1-1-1-100-2-20000110-2001111-200-2000000001100
χ2722222-12222-1-12-1222-12-1-1-122-122-1-1-1-1-1-1-1-1-12-2-200-2-2-2-2-12-1-122-1-1-1-1-1-1-1-2202001111-2-2001111111100220000-1-10200-1-1-1-1-200-2000000001100
χ2822222-12222-1-12-1222-12-1-1-122-122-1-1-1-1-1-1-1-1-12-2-200-2-2-2-2-12-1-122-1-1-1-1-1-1-1-2-20-2001111-2-2001111111100-2-20000110-2001111200200000000-1-100
χ2922222-12222-1-12-122-2-12-111-2-2-122-1-1-11111-1-1222002222-1-211-2-2-1-1-11111-220-200-1-111-2-200-1-1-1-1111100220000-110-200-1-111-2002000000001-100
χ3022222-12222-1-12-122-2-12-111-2-2-122-1-1-11111-1-1222002222-1-211-2-2-1-1-11111-2-20200-1-111-2-200-1-1-1-1111100-2-200001-1020011-1-1200-200000000-1100
χ3122222-12222-1-12-122-2-12-111-2-2-122-1-1-11111-1-12-2-200-2-2-2-2-1-211-2-2-1-1-11111220-20011-1-122001111-1-1-1-100220000-110-200-1-111200-200000000-1100
χ3222222-12222-1-12-122-2-12-111-2-2-122-1-1-11111-1-12-2-200-2-2-2-2-1-211-2-2-1-1-111112-2020011-1-122001111-1-1-1-100-2-200001-1020011-1-1-2002000000001-100
χ332222-122-12222-12-122-1-122222-1-1-12222222-1-1-100220000-1-1-1-1-1-1-1-1-1-1-1-1-10222-1-1000000220000000022-1-100-1-122-1-1-1-1-1-1-1-1022000000-1-1-10000
χ342222-122-12222-12-122-1-122222-1-1-12222222-1-1-100220000-1-1-1-1-1-1-1-1-1-1-1-1-10-22-2-1-10000002200000000221100-1-1-2-2-11-1-111110-2-20000001110000
χ352222-122-12222-12-122-1-122222-1-1-12222222-1-1-100-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-102-2211000000-2-200000000-2-2-1-10011221-111-1-1-1-10-2-20000001110000
χ362222-122-12222-12-122-1-122222-1-1-12222222-1-1-100-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-10-2-2-211000000-2-200000000-2-2110011-2-211111111022000000-1-1-10000
χ372222-122-12222-12-12-2-1-12-2-2-2-2-1-1-1222-2-2-2-2-1-1-100220000-111111-1-1-1111102-2-2-1-10000002200000000-2-2-1-100-1-12-21111-1-1110-22000000-1-110000
χ382222-122-12222-12-12-2-1-12-2-2-2-2-1-1-1222-2-2-2-2-1-1-100220000-111111-1-1-111110-2-22-1-10000002200000000-2-21100-1-1-221-11111-1-102-200000011-10000
χ392222-122-12222-12-12-2-1-12-2-2-2-2-1-1-1222-2-2-2-2-1-1-100-2-20000-111111-1-1-11111022-211000000-2-20000000022-1-100112-2-11-1-1-1-11102-200000011-10000
χ402222-122-12222-12-12-2-1-12-2-2-2-2-1-1-1222-2-2-2-2-1-1-100-2-20000-111111-1-1-111110-22211000000-2-20000000022110011-22-1-1-1-111-1-10-22000000-1-110000
χ412-2-22222-2-2-22-22-2-2202220000-2-2-22-2-200002-222-22-222-2-22000002-2-2000000002-22-200002-222-2-2000000002-22-20000000000000002-2000000000
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χ432-2-22222-2-2-22-22-2-2202220000-2-2-22-2-200002-22-222-2-2-2222000002-2-2000000002-2-2200002-2-2-22200000000-222-2000000000000000-22000000000
χ442-2-22222-2-2-22-22-2-2202220000-2-2-22-2-200002-22-22-22-2-2222000002-2-200000000-22-220000-22-2-222000000002-2-220000000000000002-2000000000
χ452-2-2222-1-2112-22-2-2-102-1-100−i3i3-211-111−i3−i3i3i32-2-12-22-2-1-111-1000−i3i3-111−i3−i3i3i300002-22-200−i3i3-11-1-111−i3−i3i3i3−i3i3002-2-110000−i3i3000000000-11−i3i30000000
χ462-2-2222-1-2112-22-2-2-102-1-100−i3i3-211-111−i3−i3i3i32-2-12-2-22-1-111-1000−i3i3-111−i3−i3i3i30000-222-200−i3i31-1-1-111−i3−i3i3i3i3−i300-221-10000i3−i30000000001-1i3−i30000000
χ472-2-2222-1-2112-22-2-2-102-1-100−i3i3-211-111−i3−i3i3i32-2-1-222-211-1-1-1000−i3i3-111−i3−i3i3i300002-2-2200i3−i3-1111-1-1i3i3−i3−i3−i3i300-22-110000−i3i30000000001-1i3−i30000000
χ482-2-2222-1-2112-22-2-2-102-1-100−i3i3-211-111−i3−i3i3i32-2-1-22-2211-1-1-1000−i3i3-111−i3−i3i3i30000-22-2200i3−i31-111-1-1i3i3−i3−i3i3−i3002-21-10000i3−i3000000000-11−i3i30000000
χ492-2-2222-1-2112-22-2-2-102-1-100i3−i3-211-111i3i3−i3−i32-2-12-22-2-1-111-1000i3−i3-111i3i3−i3−i300002-22-200i3−i3-11-1-111i3i3−i3−i3i3−i3002-2-110000i3−i3000000000-11i3−i30000000
χ502-2-2222-1-2112-22-2-2-102-1-100i3−i3-211-111i3i3−i3−i32-2-12-2-22-1-111-1000i3−i3-111i3i3−i3−i30000-222-200i3−i31-1-1-111i3i3−i3−i3−i3i300-221-10000−i3i30000000001-1−i3i30000000
χ512-2-2222-1-2112-22-2-2-102-1-100i3−i3-211-111i3i3−i3−i32-2-1-222-211-1-1-1000i3−i3-111i3i3−i3−i300002-2-2200−i3i3-1111-1-1−i3−i3i3i3i3−i300-22-110000i3−i30000000001-1−i3i30000000
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χ5644444-2-24-2-2-2-24-24-2-4-2-212222-2-2-2111-1-1-1-1-2-2-2-4-40022221-42222111-1-1-1-140000022-2-2-2-200-1-1-1-111110000000000000000000000000000000000
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χ974-4-44-2442-4-44-4-2-4240-2-2400002224-4-40000-22-2004-40000-200000-22200000000-220000004-400000000000000-2200000000000000000000000000
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χ1014-4-44-24-22224-4-2-42-20-21-2002i3−2i32-1-1-2222i32i3−2i3−2i3-221004-400001000−i3i31-1-1−i3−i3i3i30000-22000000-22000000002i3−2i300001-10000−i3i300000000000000000000
χ1024-4-44-24-22224-4-2-42-20-21-2002i3−2i32-1-1-2222i32i3−2i3−2i3-22100-4400001000−i3i31-1-1−i3−i3i3i300002-20000002-200000000−2i32i30000-110000i3−i300000000000000000000
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χ1108-88-8-4-4-4-44-4444-4440222−4i34i3002-22-2-222i3−2i3−2i32i3-2-2-200000000-102i3−2i30011-1−i3i3i3−i300000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4-4-44-4444-44402224i3−4i3002-22-2-22−2i32i32i3−2i3-2-2-200000000-10−2i32i30011-1i3−i3−i3i300000000000000000000000000000000000000000000000000000000
χ1128-8-88-4-484-8-8-44-444802-4-40000-244-44400002-2-4000000002000002-2-2000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-4444-44-444-4022200−4i34i3-2-2-22-2-22i32i3−2i3−2i32-2200000000-10002i3−2i3-111−i3−i3i3i300000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-4444-44-444-40222004i3−4i3-2-2-22-2-2−2i3−2i32i32i32-2200000000-1000−2i32i3-111i3i3−i3−i300000000000000000000000000000000000000000000000000000000

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