Finite Group Databasebeta

← Group #72324297

Character table — Group #72324297

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11222444488888888816161616161616161616161616161616161616161616161616161616161632326464646464646464646464646464128128128128
order12222222222244444422222222224444444444444444444444444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−i
χ4111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii
χ511111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-11-11-1
χ611111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111-11-11
χ711111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-111ii−i−i−i−iiii−i−ii
χ811111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-111−i−iiiii−i−i−iii−i
χ9111111111-1-111111-1-11-111-1-111111-1-111-1-111-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ10111111111-1-111111-1-11-111-1-111111-1-111-1-111-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ11111111111-1-111111-1-11-111-1-1-1-1-1-11-1-111-1-111-1-1-11111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−iii
χ12111111111-1-111111-1-11-111-1-1-1-1-1-11-1-111-1-111-1-1-11111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiii−i−i
χ13111111111-1-111111-1-11-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-11-11
χ14111111111-1-111111-1-11-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1111-11-1
χ15111111111-1-111111-1-11-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-11111-1-11111-1-1ii−i−i−i−iii−iii−i
χ16111111111-1-111111-1-11-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-11111-1-11111-1-1−i−iiiii−i−ii−i−ii
χ17222222222002222200-202-2002222-2002-200-2-200022-2-20000-2-22-20000000000000000
χ18222222222002222200-202-200-2-2-2-2-2002-200-2-200022-2-2000022-220000000000000000
χ19222222222002222200-20-22002222-200-2200-2-2000-2-2220000-2-2-220000000000000000
χ20222222222002222200-20-2200-2-2-2-2-200-2200-2-2000-2-2220000222-20000000000000000
χ21222222222002-2-2-2-200-20002-22-22-2-200002-222000000022-2-22-200002-2000000000000
χ22222222222002-2-2-2-200-20002-2-22-22-200002-222000000022-2-2-220000-22000000000000
χ23222222222002-2-2-2-200-2000-222-22-2-20000-22220000000-2-2222-20000-22000000000000
χ24222222222002-2-2-2-200-2000-22-22-22-20000-22220000000-2-222-2200002-2000000000000
χ25222222222222-2-2-2-2-2-22200002-22-22-2-20000-2-222-200000000-22002-200000000000000
χ26222222222222-2-2-2-2-2-2220000-22-222-2-20000-2-222-2000000002-200-2200000000000000
χ27222222222-2-22-2-2-2-2222-200002-22-22220000-2-2-2-2200000000-2200-2200000000000000
χ28222222222-2-22-2-2-2-2222-20000-22-222220000-2-2-2-22000000002-2002-200000000000000
χ29444444-4-4400-4000044-40000000004-4-40000000040000000000000000000000000000
χ30444444-4-4400-40000-4-4-400000000044400000000-40000000000000000000000000000
χ31444444-4-4444-40000004400000000-400000000-4-400000000000000000000000000000
χ32444444-4-44-4-4-40000004-400000000-4000000004400000000000000000000000000000
χ3344444-444-400-444-4-400000400000000004000000000-4-4000000000000000000000000
χ3444444-444-400-444-4-400000-40000000000-400000000044000000000000000000000000
χ3544444-444-400-4-4-444000040000000000400000000-4-400000000000000000000000000
χ3644444-444-400-4-4-4440000-40000000000-4000000004400000000000000000000000000
χ3744444-4-4-4-4004000000000004000000000044-4000000000-4-400000000000000000000
χ3844444-4-4-4-400400000000000-40000000000-44-40000000004400000000000000000000
χ3944444-4-4-4-400400000000004000000000040-440000000-4-40000000000000000000000
χ4044444-4-4-4-40040000000000-40000000000-40-440000000440000000000000000000000
χ4144-4-4404-40220004-4220-2002-2000002-200-22002-2-24-4002-22-200000000000000000000
χ4244-4-4404-40220004-4220-200-22000002-2002-2002-2-2-4400-22-2200000000000000000000
χ4344-4-4404-4022000-44-2-20-2402200000-22-40-2-2002-2200002-2-2200000000000000000000
χ4444-4-4404-4022000-44-2-20-2-40-2-200000-224022002-220000-222-200000000000000000000
χ4544-4-4404-40-2-20004-4-2-202002-200000-2200-2200-222-44002-22-200000000000000000000
χ4644-4-4404-40-2-20004-4-2-20200-2200000-22002-200-2224-400-22-2200000000000000000000
χ4744-4-4404-40-2-2000-44220240-2-2000002-2-402200-22-20000-222-200000000000000000000
χ4844-4-4404-40-2-2000-442202-4022000002-240-2-200-22-200002-2-2200000000000000000000
χ4944-4-440-4402204-400220-2002-200000-2200-2200-22-2004-4-22-2200000000000000000000
χ5044-4-440-4402204-400220-200-2200000-22002-200-22-200-442-22-200000000000000000000
χ5144-4-440-440220-4400-2-20-20422000002-20-4-2-200-2220000-222-200000000000000000000
χ5244-4-440-440220-4400-2-20-20-4-2-2000002-2042200-22200002-2-2200000000000000000000
χ5344-4-440-440-2-204-400-2-202002-2000002-200-22002-2200-44-22-2200000000000000000000
χ5444-4-440-440-2-204-400-2-20200-22000002-2002-2002-22004-42-22-200000000000000000000
χ5544-4-440-440-2-20-4400220204-2-200000-220-422002-2-200002-2-2200000000000000000000
χ5644-4-440-440-2-20-440022020-42200000-2204-2-2002-2-20000-222-200000000000000000000
χ57888-8-80000000000000000000040-40000000000000000000000000000002i−2i002i−2i0000
χ58888-8-80000000000000000000040-4000000000000000000000000000000−2i2i00−2i2i0000
χ59888-8-800000000000000000000-4040000000000000000000000000000002-200-220000
χ60888-8-800000000000000000000-404000000000000000000000000000000-22002-20000
χ6188-88-8000000000000000000040-4000000000000000000000000000002i−2i002i−2i000000
χ6288-88-8000000000000000000040-400000000000000000000000000000−2i2i00−2i2i000000
χ6388-88-80000000000000000000-404000000000000000000000000000002-200-22000000
χ6488-88-80000000000000000000-40400000000000000000000000000000-22002-2000000
χ6516-16000800-800000008i−8i00000000000000000000000000000000000000000000000000
χ6616-16000800-80000000−8i8i00000000000000000000000000000000000000000000000000
χ6716-16000-80088-8000000000000000000000000000000000000000000000000000000000
χ6816-16000-8008-88000000000000000000000000000000000000000000000000000000000

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