Finite Group Databasebeta

← Group #72338772

Character table — Group #72338772

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size112224488888888881616161616161616161616161616323232323232323232326464646464646464646464646464128128128128
order12222222222222222222224444444442244444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1
χ3111111111111111111111111-1-1-1-1111-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111
χ4111111111111111111111111-1-1-1-1111-1-1111-1-1-1-1111-1-1-1-111111111-1-1-1-1
χ51111111111111111111-1-11-1-11111111111-1-111111-1-1111111-1-111-1-1-1-1-1-1
χ61111111111111111111-1-11-1-11111111111-1-111111-1-1-1-1-1-1-1-111-1-111-1-111
χ71111111111111111111-1-11-1-1-1-1-1-1111-1-11-1-1-1-1-1-11-1-11111-1-111-1-11111-1-1
χ81111111111111111111-1-11-1-1-1-1-1-1111-1-11-1-1-1-1-1-11-1-1-1-1-1-111-1-111-1-11111
χ9111111111111-1-11-1-1-1-11-1-11-1111111-1-1-111-1-1-111-11-1ii−i−ii−ii−ii−ii−i1-1i−i
χ10111111111111-1-11-1-1-1-11-1-11-1111111-1-1-111-1-1-111-11-1−i−iii−ii−ii−ii−ii1-1−ii
χ11111111111111-1-11-1-1-1-11-1-11-1-1-1-1-111-11111-111-1-1-11-1ii−i−i−ii−ii−ii−ii-11i−i
χ12111111111111-1-11-1-1-1-11-1-11-1-1-1-1-111-11111-111-1-1-11-1−i−iiii−ii−ii−ii−i-11−ii
χ13111111111111-1-11-1-1-1-1-11-1-11111111-1-1-11-11-1-111-1-11ii−i−ii−i−iii−i−ii-11−ii
χ14111111111111-1-11-1-1-1-1-11-1-11111111-1-1-11-11-1-111-1-11−i−iii−iii−i−iii−i-11i−i
χ15111111111111-1-11-1-1-1-1-11-1-11-1-1-1-111-1111-1111-1-1-1-11ii−i−i−iii−i−iii−i1-1−ii
χ16111111111111-1-11-1-1-1-1-11-1-11-1-1-1-111-1111-1111-1-1-1-11−i−iiii−i−iii−i−ii1-1i−i
χ17222222222222222222200-2000000-2-2-200-2000000-2000000002i−2i00−2i2i0000
χ18222222222222222222200-2000000-2-2-200-2000000-200000000−2i2i002i−2i0000
χ19222222222222-2-22-2-2-2-2002000000-2-2200-20000002000000002200-2-20000
χ20222222222222-2-22-2-2-2-2002000000-2-2200-2000000200000000-2-200220000
χ2122222222-2-2-2-2222-2-22-200-2000000-2-2-200200000020000002i−2i00−2i2i000000
χ2222222222-2-2-2-2222-2-22-200-2000000-2-2-20020000002000000−2i2i002i−2i000000
χ2322222222-2-2-2-2222-2-22-222222000022200-2220000-2-2-20000000000000000
χ2422222222-2-2-2-2222-2-22-2-2-22-2-2000022200-2-2-20000-2220000000000000000
χ2522222222-2-2-2-2-2-2222-22002000000-2-22002000000-20000002200-2-2000000
χ2622222222-2-2-2-2-2-2222-22002000000-2-22002000000-2000000-2-20022000000
χ2722222222-2-2-2-2-2-2222-222-2-22-2000022-200-22-200002-220000000000000000
χ2822222222-2-2-2-2-2-2222-22-22-2-22000022-200-2-22000022-20000000000000000
χ294444444-4000000-4000000400222200-422000-2-2-2-20000000000000000000
χ304444444-4000000-4000000400-2-2-2-200-4-2-200022220000000000000000000
χ314444444-4000000-4000000-4002222004-2-200022-2-20000000000000000000
χ324444444-4000000-4000000-400-2-2-2-200422000-2-2220000000000000000000
χ3344444-4-4-4000000400000400400004-400000-400000000000000000000000
χ3444444-4-4-4000000400000-400-400004-400000400000000000000000000000
χ3544444-4-4-400000040000400400000-440000-4000000000000000000000000
χ3644444-4-4-400000040000-400-400000-4400004000000000000000000000000
χ3788888-8-88000000-800000000000000000000000000000000000000000000
χ38888-8-80000000000440-40000000000000000000000002-22-2000000000000
χ39888-8-80000000000440-4000000000000000000000000-22-22000000000000
χ40888-8-80000000000-4-4040000000000000000000000002i−2i−2i2i000000000000
χ41888-8-80000000000-4-404000000000000000000000000−2i2i2i−2i000000000000
χ4288-88-8000000044000-40440-4-400000000000000000000000000000000000
χ4388-88-8000000044000-40-4-404400000000000000000000000000000000000
χ4488-88-80000000-4-4000404-40-4400000000000000000000000000000000000
χ4588-88-80000000-4-400040-4404-400000000000000000000000000000000000
χ4688-8-8800044-4-4000000000000000000000000004-40000000000000000000
χ4788-8-8800044-4-400000000000000000000000000-440000000000000000000
χ4888-8-88000-4-44400000000000044-4-40000000000000000000000000000000
χ4988-8-88000-4-444000000000000-4-4440000000000000000000000000000000
χ508-8000-440004-44-404-40000000004-40002-20002-2000000000000000000000
χ518-8000-440004-44-404-4000000000-44000-22000-22000000000000000000000
χ528-8000-440004-4-440-440000000004-4000-22000-22000000000000000000000
χ538-8000-440004-4-440-44000000000-440002-20002-2000000000000000000000
χ548-8000-44000-444-40-4400000004-4000002-2000-22000000000000000000000
χ558-8000-44000-444-40-440000000-4400000-220002-2000000000000000000000
χ568-8000-44000-44-4404-400000004-400000-220002-2000000000000000000000
χ578-8000-44000-44-4404-40000000-44000002-2000-22000000000000000000000
χ5816-160008-808-80000000000000000000000000000000000000000000000000
χ5916-160008-80-880000000000000000000000000000000000000000000000000

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