Finite Group Databasebeta

← Group #72338710

Character table — Group #72338710

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size112444448888816161616161632323232323232323232323232323232323232323264646464646464128128128128128128
order12222222222222224442244444444444444444444444444488888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111111-1-111-1-111-1-1
χ311111111111111111111-1-1111111111111111111-1-1-11111-1-1-1-1-1-1
χ411111111111111111111-1-1111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-111
χ51111111111111-1-11-1-11-1111-11111111111-1-1-1-111111-1-1-1-111-1-1-1-1
χ61111111111111-1-11-1-11-1111-11-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-111
χ71111111111111-1-11-1-11-1-1-11-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-11111
χ81111111111111-1-11-1-11-1-1-11-11-1-1-1-11-1-1-1-1111111-1-1-111-1-11111-1-1
χ9111-1-1111-1-1-111111-1-11-111-11-111-1-1-111-1-111-1-111-11-11-11-11-11-11-1
χ10111-1-1111-1-1-111111-1-11-111-11-1-1-111-1-1-111-1-11111-11-1-111-1-111-1-11
χ11111-1-1111-1-1-111111-1-11-1-1-1-11-111-1-1-111-1-111-1-1111-111-11-1-11-11-11
χ12111-1-1111-1-1-111111-1-11-1-1-1-11-1-1-111-1-1-111-1-111111-11-111-11-1-111-1
χ13111-1-1111-1-1-111-1-11111111-1-1-111-1-1-111-1-1-1-11111-11-1-11-111-1-11-11
χ14111-1-1111-1-1-111-1-11111111-1-1-1-1-111-1-1-11111-1-111-11-11-1-11-11-111-1
χ15111-1-1111-1-1-111-1-111111-1-1-1-1-111-1-1-111-1-1-1-111111-11-11-11-111-11-1
χ16111-1-1111-1-1-111-1-111111-1-1-1-1-1-1-111-1-1-11111-1-1111-111-1-111-11-1-11
χ17222222222222200200200020-22222-2-2-2-2-20000-2-20000000000000
χ18222222222222200200200020-2-2-2-2-2-222220000-2-20000000000000
χ19222222222222200-200-2000-20-20000200002222-22000-2-200000000
χ20222222222222200-200-2000-20-2000020000-2-2-2-2-220002200000000
χ21222222222222222-222-2200-2220000-2000000002-200000-2-2000000
χ222222222222222-2-2-2-2-2-2-200-2-220000-2000000002-20000022000000
χ23222-2-2222-2-2-222002002000-20222-2-22-2-2220000-2-20000000000000
χ24222-2-2222-2-2-222002002000-202-2-222222-2-20000-2-20000000000000
χ25222-2-2222-2-2-22200-200-20002020000-2000022-2-2-22000-2200000000
χ26222-2-2222-2-2-22200-200-20002020000-20000-2-222-220002-200000000
χ27222-2-2222-2-2-22222-2-2-2-2-20022-200002000000002-200000-22000000
χ28222-2-2222-2-2-222-2-2-222-22002-2-200002000000002-2000002-2000000
χ29444004-4-404-400220220-2000-202i−2i2i−2i000002i−2i2i−2i000000000000000
χ30444004-4-404-400220220-2000-20−2i2i−2i2i00000−2i2i−2i2i000000000000000
χ31444004-4-404-400-2-20-2-202000202i−2i2i−2i00000−2i2i−2i2i000000000000000
χ32444004-4-404-400-2-20-2-20200020−2i2i−2i2i000002i−2i2i−2i000000000000000
χ33444004-4-40-4400220-2-202000-202i−2i−2i2i000002i−2i−2i2i000000000000000
χ34444004-4-40-4400220-2-202000-20−2i2i2i−2i00000−2i2i2i−2i000000000000000
χ35444004-4-40-4400-2-20220-2000202i−2i−2i2i00000−2i2i2i−2i000000000000000
χ36444004-4-40-4400-2-20220-200020−2i2i2i−2i000002i−2i−2i2i000000000000000
χ3744400-44-40004-400400-400000000000004i−4i0000000000000000000
χ3844400-44-40004-400400-40000000000000−4i4i0000000000000000000
χ3944400-44-40004-400-4004000000000004i−4i000000000000000000000
χ4044400-44-40004-400-400400000000000−4i4i000000000000000000000
χ41444444444-4-4-4-4000000022000000000000000000-2-220000000000
χ42444444444-4-4-4-40000000-2-200000000000000000022-20000000000
χ43444-4-4444-444-4-40000000220000000000000000002-2-20000000000
χ44444-4-4444-444-4-40000000-2-2000000000000000000-2220000000000
χ4588800-88-8000-880000000000000000000000000000000000000000
χ4688888-8-88-800000000000000000000000000000000000000000000
χ47888-8-8-8-88800000000000000000000000000000000000000000000
χ481616-16000000000000000004-40000000000000000000000000000000
χ491616-1600000000000000000-440000000000000000000000000000000
χ5016-1608-8000000004-404-400000000000000000000000000000000000
χ5116-1608-800000000-440-4400000000000000000000000000000000000
χ5216-160-88000000004-40-4400000000000000000000000000000000000
χ5316-160-8800000000-4404-400000000000000000000000000000000000

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