Finite Group Databasebeta

← Group #72338979

Character table — Group #72338979

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11244488888888161616161616161616161616163232326464646464646464646464646464128128128128128128
order12222222444444222222244444424444888888888888448888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-1ii−i−ii−iii−i−i
χ61111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-1−i−iii−ii−i−iii
χ71111111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111ii−i−ii−i−i−iii
χ81111111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111−i−iii−iiii−i−i
χ91111111111-1-1-1-1111-1-1-1-111-1-1111-1-11-1ii−i−iii−i−i1111-1-1i−ii−i
χ101111111111-1-1-1-1111-1-1-1-111-1-1111-1-11-1ii−i−iii−i−i-1-1-1-111−ii−ii
χ111111111111-1-1-1-1111-1-1-1-111-1-1111-1-11-1−i−iii−i−iii1111-1-1−ii−ii
χ121111111111-1-1-1-1111-1-1-1-111-1-1111-1-11-1−i−iii−i−iii-1-1-1-111i−ii−i
χ131111111111-1-1-1-1111-1-1-1-111-1-1-1-1-111-11ii−i−i−i−iiiii−i−i−ii-111-1
χ141111111111-1-1-1-1111-1-1-1-111-1-1-1-1-111-11ii−i−i−i−iii−i−iiii−i1-1-11
χ151111111111-1-1-1-1111-1-1-1-111-1-1-1-1-111-11−i−iiiii−i−iii−i−i−ii1-1-11
χ161111111111-1-1-1-1111-1-1-1-111-1-1-1-1-111-11−i−iiiii−i−i−i−iiii−i-111-1
χ17222222222222222-2-222-2-2-2-2-2-2222-2-2-22000000000000000000
χ18222222222222222-2-222-2-2-2-2-2-2-2-2-2222-2000000000000000000
χ192222222222-2-2-2-22-2-2-2-222-2-22222222-2-2000000000000000000
χ202222222222-2-2-2-22-2-2-2-222-2-222-2-2-2-2-222000000000000000000
χ2144444444-4-444-4-4-4004-40000000000000000000000000000000
χ2244444444-4-4-4-444-400-440000000000000000000000000000000
χ23444444-4-4440000-4000000000044-40000000000000000000000
χ24444444-4-4440000-40000000000-4-440000000000000000000000
χ25444444-4-4-4-40000400000000000004-400000000000000000000
χ26444444-4-4-4-4000040000000000000-4400000000000000000000
χ274444-4-44-40000440000-4000000000000000002-22-20000000000
χ284444-4-44-40000440000-400000000000000000-22-220000000000
χ294444-4-44-40000-4-400004000000000000000002i−2i−2i2i0000000000
χ304444-4-44-40000-4-40000400000000000000000−2i2i2i−2i0000000000
χ314444-4-4-44004400000-4000000000000002-22-200000000000000
χ324444-4-4-44004400000-400000000000000-22-2200000000000000
χ334444-4-4-4400-4-4000004000000000000002i−2i−2i2i00000000000000
χ344444-4-4-4400-4-400000400000000000000−2i2i2i−2i00000000000000
χ35888-88-800000000000004400-4-40000000000000000000000000
χ36888-88-80000000000000-4-400440000000000000000000000000
χ37888-8-88000000000440000-4-4000000000000000000000000000
χ38888-8-88000000000-4-4000044000000000000000000000000000
χ3988-8000004-44-44-4000004-44-4000000000000000000000000000
χ4088-8000004-44-44-400000-44-44000000000000000000000000000
χ4188-8000004-4-44-44000004-4-44000000000000000000000000000
χ4288-8000004-4-44-4400000-444-4000000000000000000000000000
χ4388-800000-444-4-4404-40000004-40000000000000000000000000
χ4488-800000-444-4-440-44000000-440000000000000000000000000
χ4588-800000-44-444-404-4000000-440000000000000000000000000
χ4688-800000-44-444-40-440000004-40000000000000000000000000
χ4716-16000000000000000000000004-400000000000002i−2i2i−2i000000
χ4816-16000000000000000000000004-40000000000000−2i2i−2i2i000000
χ4916-1600000000000000000000000-4400000000000002-2-22000000
χ5016-1600000000000000000000000-440000000000000-222-2000000

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