Finite Group Databasebeta

← Group #72267063

Character table — Group #72267063

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79
size1124448888888816161616161616161616161616161616161616161616161616161616161616161632323264646464646464646464646464128128128128128128128128128128128128256256256256
order1222222222224422222222222222222444444444444444424444444888888884444444444888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1
χ311111111111111111111111111111-1-111111111111111-1-1-11-11-1-1-1-1iiii−i−i−i−i111-1-1-1ii−i−i-1-1ii−i−i
χ411111111111111111111111111111-1-111111111111111-1-1-11-11-1-1-1-1−i−i−i−iiiii111-1-1-1−i−iii-1-1−i−iii
χ5111111111111111111111111111-1-11111111111111111-1-1-1-11-11-1-1-1ii−i−iii−i−i-1-1-1111i−ii−i-1-1i−ii−i
χ6111111111111111111111111111-1-11111111111111111-1-1-1-11-11-1-1-1−i−iii−i−iii-1-1-1111−ii−ii-1-1−ii−ii
χ7111111111111111111111111111-1-1-1-111111111111111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-11-1-11111-1-11
χ8111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1-111-111-111-1
χ91111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111111111111-1-11-1-11111-1-1-1-1-1-1
χ101111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-11111
χ111111111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1iiii−i−i−i−i1-1-1-111ii−i−i11−i−iii
χ121111111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1−i−i−i−iiiii1-1-1-111−i−iii11ii−i−i
χ131111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1ii−i−iii−i−i-1111-1-1i−ii−i11−ii−ii
χ141111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1−i−iii−i−iii-1111-1-1−ii−ii11i−ii−i
χ151111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-111111-1-1-1-111-111-1111-1-11-1-1-111-1
χ161111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-1111-1-11111-1-1-111-111-111-1-1-11-1-11
χ17222222222222222-2-2-2-200000000222222-2-2-2-20000000022222222-2-200000000-200-2000000000000
χ18222222222222222-2-2-2-20000000022-2-222-2-2-2-200000000-2-2-22-22-2-22200000000-2002000000000000
χ19222222222222222-2-2-2-200000000-2-22222-2-2-2-200000000-2-2-2-22-22-22200000000200-2000000000000
χ20222222222222222-2-2-2-200000000-2-2-2-222-2-2-2-200000000222-2-2-2-22-2-2000000002002000000000000
χ2122222222-2-2-2-222222-2-2000000000000-2-222-2-2000000002220000-22-2002222000000000-2-20000000
χ2222222222-2-2-2-222222-2-2000000000000-2-222-2-2000000002220000-22-200-2-2-2-2000000000220000000
χ2322222222-2-2-2-222222-2-2000000000000-2-222-2-200000000-2-2-200002-22002i2i−2i−2i000000000−2i2i0000000
χ2422222222-2-2-2-222222-2-2000000000000-2-222-2-200000000-2-2-200002-2200−2i−2i2i2i0000000002i−2i0000000
χ2522222222-2-2-2-2222-2-222000000000000-2-2-2-222000000002220000-2-2222000022000000-200-2000000
χ2622222222-2-2-2-2222-2-222000000000000-2-2-2-222000000002220000-2-22-2-20000-2-20000002002000000
χ2722222222-2-2-2-2222-2-222000000000000-2-2-2-22200000000-2-2-2000022-22i2i0000−2i−2i000000−2i002i000000
χ2822222222-2-2-2-2222-2-222000000000000-2-2-2-22200000000-2-2-2000022-2−2i−2i00002i2i0000002i00−2i000000
χ294444444444-4-4-4-4-400000000000000444-4000000000000000040-4000000000000000000000000000
χ304444444444-4-4-4-4-400000000000000-4-44-40000000000000000-404000000000000000000000000000
χ3144444444-4-444-4-4-40000000000004400-4400000000000000040-40000000000000000000000000000
χ3244444444-4-444-4-4-4000000000000-4-400-44000000000000000-4040000000000000000000000000000
χ33444444-4-4000044-400002222-2-2-2-200000000002222-2-2-2-244-400000000000000000000000002-20000
χ34444444-4-4000044-400002222-2-2-2-200000000002222-2-2-2-2-4-440000000000000000000000000-220000
χ35444444-4-4000044-40000-2-2-2-222220000000000-2-2-2-2222244-40000000000000000000000000-220000
χ36444444-4-4000044-40000-2-2-2-222220000000000-2-2-2-22222-4-4400000000000000000000000002-20000
χ37444-4-444-40044000000022-2-222-2-244000-4000022-2-222-2-2000-40000000000000002-20000000000000
χ38444-4-444-40044000000022-2-222-2-2-4-4000-4000022-2-222-2-20004000000000000000-220000000000000
χ39444-4-444-400440000000-2-222-2-22244000-40000-2-222-2-222000-4000000000000000-220000000000000
χ40444-4-444-400440000000-2-222-2-222-4-4000-40000-2-222-2-22200040000000000000002-20000000000000
χ41444-4-44-444400000000022-2-2-2-2220044-40000022-2-2-2-2220000-4000000000000000002-20000000000
χ42444-4-44-444400000000022-2-2-2-22200-4-4-40000022-2-2-2-2220000400000000000000000-220000000000
χ43444-4-44-4444000000000-2-22222-2-20044-400000-2-22222-2-20000-400000000000000000-220000000000
χ44444-4-44-4444000000000-2-22222-2-200-4-4-400000-2-22222-2-200004000000000000000002-20000000000
χ45888888-8-80000-8-880000000000000000000000000000000000000000000000000000000000000000
χ468888-8-8000000000004400004-44-400000000-4-400004-44-40000000000000000000000000000000000
χ478888-8-800000000000440000-44-4400000000-4-40000-44-440000000000000000000000000000000000
χ488888-8-800000000000-4-44-44-4000000000000444-44-400000000000000000000000000000000000000
χ498888-8-800000000000-4-4-44-4400000000000044-44-4400000000000000000000000000000000000000
χ50888-88-800000000044004-4-440000000000-4-4004-4-4400000000000000000000000000000000000000
χ51888-88-80000000004400-444-40000000000-4-400-444-400000000000000000000000000000000000000
χ52888-88-8000000000-4-40000004-4-44000000440000004-4-440000000000000000000000000000000000
χ53888-88-8000000000-4-4000000-444-400000044000000-444-40000000000000000000000000000000000
χ54888-8-888-800-8-80000000000000000000080000000000000000000000000000000000000000000000
χ55888-8-88-88-8-8000000000000000000000800000000000000000000000000000000000000000000000
χ5688-8000004-44-44-40004-42222222-60000004-400-2-2-2-2-2-2-260000000000000000000000000000000000
χ5788-8000004-44-44-40004-4-2-2-2-2-2-2-260000004-4002222222-60000000000000000000000000000000000
χ5888-8000004-44-44-4000-44222222-62000000-4400-2-2-2-2-2-26-20000000000000000000000000000000000
χ5988-8000004-44-44-4000-44-2-2-2-2-2-26-2000000-4400222222-620000000000000000000000000000000000
χ6088-8000004-4-44-4404-4002-6222222000000004-4-26-2-2-2-2-2-20000000000000000000000000000000000
χ6188-8000004-4-44-4404-400-26-2-2-2-2-2-2000000004-42-62222220000000000000000000000000000000000
χ6288-8000004-4-44-440-44006-2-2-2-2-2-2-200000000-44-622222220000000000000000000000000000000000
χ6388-8000004-4-44-440-4400-6222222200000000-446-2-2-2-2-2-2-20000000000000000000000000000000000
χ6488-800000-444-4-4404-40022-62222200000000-44-2-26-2-2-2-2-20000000000000000000000000000000000
χ6588-800000-444-4-4404-400-2-26-2-2-2-2-200000000-4422-6222220000000000000000000000000000000000
χ6688-800000-444-4-440-4400222-62222000000004-4-2-2-26-2-2-2-20000000000000000000000000000000000
χ6788-800000-444-4-440-4400-2-2-26-2-2-2-2000000004-4222-622220000000000000000000000000000000000
χ6888-800000-44-444-40004-422222-622000000-4400-2-2-2-2-26-2-20000000000000000000000000000000000
χ6988-800000-44-444-40004-4-2-2-2-2-26-2-2000000-440022222-6220000000000000000000000000000000000
χ7088-800000-44-444-4000-442222-62220000004-400-2-2-2-26-2-2-20000000000000000000000000000000000
χ7188-800000-44-444-4000-44-2-2-2-26-2-2-20000004-4002222-62220000000000000000000000000000000000
χ7216-1600000000000000000000000004-44-4000000000000004-4000000002i−2i2i−2i2i−2i2i−2i0000000000000000
χ7316-1600000000000000000000000004-44-4000000000000004-400000000−2i2i−2i2i−2i2i−2i2i0000000000000000
χ7416-1600000000000000000000000004-4-4400000000000000-44000000002-22-2-22-220000000000000000
χ7516-1600000000000000000000000004-4-4400000000000000-4400000000-22-222-22-20000000000000000
χ7616-160000000000000000000000000-444-400000000000000-44000000002-2-222-2-220000000000000000
χ7716-160000000000000000000000000-444-400000000000000-4400000000-222-2-222-20000000000000000
χ7816-160000000000000000000000000-44-44000000000000004-4000000002i−2i−2i2i−2i2i2i−2i0000000000000000
χ7916-160000000000000000000000000-44-44000000000000004-400000000−2i2i2i−2i2i−2i−2i2i0000000000000000

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