Finite Group Databasebeta

← Group #72338701

Character table — Group #72338701

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size1124448816161616161616161616161616163232323232323232323264646464646464646464646464646464646464128128
order12222222222244444444442224444444444444444448888888848
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-11111111-111-1-111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111-1-1-1-111111-1-11111-1-111-111-1111-11-1-11111-1-1-1-1-1-1
χ41111111111111-1-1-1-111111-1-1-1-111-1-111-1-11-1-1-11-11-1-1-1-1-1-1111111
χ51111111111-11-11111-1-1-1-1111111-1-1-111-11-1-1-1-111-11-111-1-111-1-1-11
χ61111111111-11-11111-1-1-1-1111-1-11-1-1-111-1-1-1-11111-11-1-1-111-1-1111-1
χ71111111111-11-1-1-1-1-1-1-1-1-11-1-1111-1111111-11-1-11-1-1-1111-1-1-1-1111-1
χ81111111111-11-1-1-1-1-1-1-1-1-11-1-1-1-11-111111-1-11111-1-1-11-1-11111-1-1-11
χ911111111-1-111111-1-1111111-111-11111111-1-111-1-1-11-1-1-1-1-1-1-1-1-111
χ1011111111-1-111111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11-111111111-1-1
χ1111111111-1-1111-1-11111111-1111-11-1-111-11-1111-11-1-11-1-1-1-11111-1-1
χ1211111111-1-1111-1-11111111-11-1-1-11-1-111-1-1-11-1-1-11-1-111111-1-1-1-111
χ1311111111-1-1-11-111-1-1-1-1-1-111-111-1-1-1-111-1111-1-1-1-1111-1-111-1-111-11
χ1411111111-1-1-11-111-1-1-1-1-1-111-1-1-1-1-1-1-111-1-11111-1-111111-1-111-1-11-1
χ1511111111-1-1-11-1-1-111-1-1-1-11-1111-1-11111111-1-1-1-111-1-1-1-11111-1-11-1
χ1611111111-1-1-11-1-1-111-1-1-1-11-11-1-1-1-111111-11-111-111-1-111-1-1-1-111-11
χ1722222222002222200-2-2-2-22200002-2-2-2-2200000000-200000000000
χ182222222200222-2-200-2-2-2-22-20000222-2-2-200000000200000000000
χ1922222222002-22002222-2-2-202000-2002-20002000-200-20000000000
χ2022222222002-2200-2-222-2-2-20-2000-2002-2000-200020020000000000
χ212222222200-22-222002222220000-222-2-2-200000000-200000000000
χ222222222200-22-2-2-20022222-20000-2-2-2-2-2200000000200000000000
χ232222222200-2-2-20022-2-222-2020002002-2000-2000-20020000000000
χ242222222200-2-2-200-2-2-2-222-20-20002002-20002000200-20000000000
χ2522222222222-220000-2-222-200002-200-22002000-20-2000000000000
χ262222222222-2-2-2000022-2-2-200002200-2200-2000-202000000000000
χ2722222222-2-22-220000-2-222-20000-2-200-2200-2000202000000000000
χ2822222222-2-2-2-2-2000022-2-2-20000-2200-2200200020-2000000000000
χ292222-2-22-2000-2022002i−2i2i−2i2-2000002i−2i00000000000002−2i2−i22−2i2−i200
χ302222-2-22-2000-2022002i−2i2i−2i2-2000002i−2i0000000000000−22−i2i2−22−i2i200
χ312222-2-22-2000-202200−2i2i−2i2i2-200000−2i2i00000000000002−2−i2i22−2−i2i200
χ322222-2-22-2000-202200−2i2i−2i2i2-200000−2i2i0000000000000−22i2−i2−22i2−i200
χ332222-2-22-2000-20-2-2002i−2i2i−2i2200000−2i2i00000000000002−2i2−i2−22−i2i200
χ342222-2-22-2000-20-2-2002i−2i2i−2i2200000−2i2i0000000000000−22−i2i22−2i2−i200
χ352222-2-22-2000-20-2-200−2i2i−2i2i22000002i−2i00000000000002−2−i2i2−22i2−i200
χ362222-2-22-2000-20-2-200−2i2i−2i2i22000002i−2i0000000000000−22i2−i22−2−i2i200
χ37444444-4-40040-400000000000220000000-2002-2000000000000000
χ38444444-4-40040-400000000000-2-20000000200-22000000000000000
χ39444444-4-400-40400000000000220000000-200-22000000000000000
χ40444444-4-400-40400000000000-2-200000002002-2000000000000000
χ414444-4-44-40004000004i−4i−4i4i-40000000000000000000000000000000
χ424444-4-44-4000400000−4i4i4i−4i-40000000000000000000000000000000
χ438888-8-8-88000000000000000000000000000000000000000000000
χ44888-88-800000000044000000-400000000000000000000000000000
χ45888-88-8000000000-4-4000000400000000000000000000000000000
χ46888-8-8800440000000000000000-400000000000000000000000000
χ47888-8-8800-4-40000000000000000400000000000000000000000000
χ481616-160000000000000000000004-4000000000000000000000000000
χ491616-16000000000000000000000-44000000000000000000000000000
χ5016-160000004-40004-44-4000000000000000000000000000000000000
χ5116-160000004-4000-44-44000000000000000000000000000000000000
χ5216-16000000-440004-4-44000000000000000000000000000000000000
χ5316-16000000-44000-444-4000000000000000000000000000000000000

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