Finite Group Databasebeta

← Group #72338691

Character table — Group #72338691

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size112444448888816161616161632323232323232323232323232323232323232323264646464646464128128128128128128
order12222222222222222242444444444444444444444444444488888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111111-1-111-1-111-1-1
χ31111111111111111111-1-11111111111111111111-1-1-11111-1-1-1-1-1-1
χ41111111111111111111-1-11111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-111
χ51111111111111-1-1-1-111111-1-11111111111-1-1-1-111111-1-1-1-111-1-1-1-1
χ61111111111111-1-1-1-111111-1-11-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-111
χ71111111111111-1-1-1-111-1-11-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-11111
χ81111111111111-1-1-1-111-1-11-1-11-1-1-1-11-1-1-1-1111111-1-1-111-1-11111-1-1
χ9111-1-1111-1-1-11111-1-11111-11-1-111-1-1-111-1-111-1-111-11-11-11-11-11-11-1
χ10111-1-1111-1-1-11111-1-11111-11-1-1-1-111-1-1-111-1-11111-11-1-111-1-111-1-11
χ11111-1-1111-1-1-11111-1-111-1-1-11-1-111-1-1-111-1-111-1-1111-111-11-1-11-11-11
χ12111-1-1111-1-1-11111-1-111-1-1-11-1-1-1-111-1-1-111-1-111111-11-111-11-1-111-1
χ13111-1-1111-1-1-111-1-1111111-1-11-111-1-1-111-1-1-1-11111-11-1-11-111-1-11-11
χ14111-1-1111-1-1-111-1-1111111-1-11-1-1-111-1-1-11111-1-111-11-11-1-11-11-111-1
χ15111-1-1111-1-1-111-1-11111-1-1-1-11-111-1-1-111-1-1-1-111111-11-11-11-111-11-1
χ16111-1-1111-1-1-111-1-11111-1-1-1-11-1-1-111-1-1-11111-1-1111-111-1-111-11-1-11
χ17222222222222200002200200-22222-2-2-2-2-20000-2-20000000000000
χ18222222222222200002200200-2-2-2-2-2-222220000-2-20000000000000
χ1922222222222220000-2-200-200-20000200002222-22000-2-200000000
χ2022222222222220000-2-200-200-2000020000-2-2-2-2-220002200000000
χ2122222222222222222-2-200-22220000-2000000002-200000-2-2000000
χ222222222222222-2-2-2-2-2-200-2-2-220000-2000000002-20000022000000
χ23222-2-2222-2-2-22200002200-200222-2-22-2-2220000-2-20000000000000
χ24222-2-2222-2-2-22200002200-2002-2-222222-2-20000-2-20000000000000
χ25222-2-2222-2-2-2220000-2-20020020000-2000022-2-2-22000-2200000000
χ26222-2-2222-2-2-2220000-2-20020020000-20000-2-222-220002-200000000
χ27222-2-2222-2-2-22222-2-2-2-20022-2-200002000000002-200000-22000000
χ28222-2-2222-2-2-222-2-222-2-2002-22-200002000000002-2000002-2000000
χ2944400-44-40004-400004-400000000000004i−4i0000000000000000000
χ3044400-44-40004-400004-40000000000000−4i4i0000000000000000000
χ3144400-44-40004-40000-44000000000004i−4i000000000000000000000
χ3244400-44-40004-40000-4400000000000−4i4i000000000000000000000
χ33444444444-4-4-4-40000002200000000000000000002-2-20000000000
χ34444444444-4-4-4-4000000-2-20000000000000000000-2220000000000
χ35444444-4-4-40000222200000-2-202i−2i2i−2i000002i−2i2i−2i000000000000000
χ36444444-4-4-40000222200000-2-20−2i2i−2i2i00000−2i2i−2i2i000000000000000
χ37444444-4-4-40000-2-2-2-2000002202i−2i2i−2i00000−2i2i−2i2i000000000000000
χ38444444-4-4-40000-2-2-2-200000220−2i2i−2i2i000002i−2i2i−2i000000000000000
χ39444-4-4444-444-4-4000000220000000000000000000-2-220000000000
χ40444-4-4444-444-4-4000000-2-2000000000000000000022-20000000000
χ41444-4-44-4-44000022-2-200000-2202i−2i−2i2i000002i−2i−2i2i000000000000000
χ42444-4-44-4-44000022-2-200000-220−2i2i2i−2i00000−2i2i2i−2i000000000000000
χ43444-4-44-4-440000-2-222000002-202i−2i−2i2i00000−2i2i2i−2i000000000000000
χ44444-4-44-4-440000-2-222000002-20−2i2i2i−2i000002i−2i−2i2i000000000000000
χ4588800-88-8000-880000000000000000000000000000000000000000
χ4688800-8-8808-8000000000000000000000000000000000000000000
χ4788800-8-880-88000000000000000000000000000000000000000000
χ481616-1600000000000000004-400000000000000000000000000000000
χ491616-160000000000000000-4400000000000000000000000000000000
χ5016-1608-8000000004-44-4000000000000000000000000000000000000
χ5116-1608-800000000-44-44000000000000000000000000000000000000
χ5216-160-88000000004-4-44000000000000000000000000000000000000
χ5316-160-8800000000-444-4000000000000000000000000000000000000

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