Finite Group Databasebeta

← Group #72285807

Character table — Group #72285807

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1124448888161616161616161616161632323232323232323264646464646464646464646464646464128128128128
order12222222442222244444422444444444444444444444448888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1
χ311111111111111111-1-1-1-1-1-1111-1-111-11-111111-11-1-1-1-1-1-111-1-1
χ411111111111111111-1-1-1-1-1-1111-1-111-11-1-1-1-1-11-11-1-11111-1-111
χ5111111111111-1-111111-1-11-1-11111111-1-11111-1-1-11-11111-1-1-1-1
χ6111111111111-1-111111-1-11-1-11111111-1-1-1-1-1-1-1-1-11-1-1-1-1-11111
χ7111111111111-1-1111-1-111-11-111-1-111-1-111111-11-1-11-1-1-1-1-1-111
χ8111111111111-1-1111-1-111-11-111-1-111-1-11-1-1-1-1-11-1-11111111-1-1
χ911111111-1-1-1-11111-11111111-1-1-1-111-1-1-111-1-111-11-111-1-11-11-1
χ1011111111-1-1-1-11111-11111111-1-1-1-111-1-1-1-1-11111-11-1-1-111-11-11
χ1111111111-1-1-1-11111-1-1-1-1-1-1-11-1-111111-1111-1-11-1-1-11-1-1111-1-11
χ1211111111-1-1-1-11111-1-1-1-1-1-1-11-1-111111-11-1-1111-1-1-1111-1-1-111-1
χ1311111111-1-1-1-1-1-111-111-1-11-1-1-1-1-1-111-11111-1-1-1-111111-1-1-11-11
χ1411111111-1-1-1-1-1-111-111-1-11-1-1-1-1-1-111-111-1-111-1-1111-1-1111-11-1
χ1511111111-1-1-1-1-1-111-1-1-111-11-1-1-1111111-111-1-1-111-1-1-1-111-111-1
χ1611111111-1-1-1-1-1-111-1-1-111-11-1-1-1111111-1-1-111-111-1-111-1-11-1-11
χ17222222222222002222200200-2-2-2-2-2-22000000000-2000000000
χ1822222222222200222-2-200-200-2-222-2-2-20000000002000000000
χ1922222222222-200-2-2-200220202-2002-200200000-200-200000000
χ2022222222222-200-2-2-200-2-20-202-2002-200-200000200200000000
χ2122222222222-222-2-2-20000002-2200-220200000-20-20000000000
χ2222222222222-2-2-2-2-2-2000000-2-2200-220-2000002020000000000
χ2322222222-2-2-2200-2-220022020-22002-200-200000-200200000000
χ2422222222-2-2-2200-2-2200-2-20-20-22002-200200000200-200000000
χ2522222222-2-2-2222-2-2200000022-200-220-200000-2020000000000
χ2622222222-2-2-22-2-2-2-22000000-22-200-22020000020-20000000000
χ2722222222-2-2-2-20022-222002002222-2-2-2000000000-2000000000
χ2822222222-2-2-2-20022-2-2-200-20022-2-2-2-220000000002000000000
χ29444444-4-444-400000000000000000000002-22-20000000000000
χ30444444-4-444-40000000000000000000000-22-220000000000000
χ31444444-4-4-4-4400000000000000000000002-2-220000000000000
χ32444444-4-4-4-440000000000000000000000-222-20000000000000
χ334444-4-44-40000004-400000000004i−4i0000000000000000000000
χ344444-4-44-40000004-40000000000−4i4i0000000000000000000000
χ354444-4-44-4000000-4404400-40000000000000000000000000000
χ364444-4-44-4000000-440-4-40040000000000000000000000000000
χ374444-4-4-4400040000-400000000000000000000000002i−2i2i−2i0000
χ384444-4-4-4400040000-40000000000000000000000000−2i2i−2i2i0000
χ394444-4-4-44000-40000400000000000000000000000002i−2i−2i2i0000
χ404444-4-4-44000-4000040000000000000000000000000−2i2i2i−2i0000
χ41888-88-80000000000000440-4000000000000000000000000000
χ42888-88-80000000000000-4-404000000000000000000000000000
χ43888-8-8800000044000000000-400000000000000000000000000
χ44888-8-88000000-4-4000000000400000000000000000000000000
χ451616-16000008-80000000000000000000000000000000000000000
χ461616-1600000-880000000000000000000000000000000000000000
χ4716-1600000000004-40004-44-400000000000000000000000000000
χ4816-1600000000004-4000-44-4400000000000000000000000000000
χ4916-160000000000-440004-4-4400000000000000000000000000000
χ5016-160000000000-44000-444-400000000000000000000000000000

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