Finite Group Databasebeta

← Group #11715727

Character table — Group #11715727

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37
size11112266666612121212121212242424243232323232323232484848484848
order12224422222244444444444366612121212444444
χ11111111111111111111111111111111111111
χ21111111111111111111-1-1-1-111111111-1-1-1-1-1-1
χ31111-1-1111111-1-1-1-1-11111-1-11111-1-1-1-1111-1-1-1
χ41111-1-1111111-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1111
χ522222222222222222220000-1-1-1-1-1-1-1-1000000
χ62222-2-2222222-2-2-2-2-2220000-1-1-1-11111000000
χ72-2-2200-2-2-2222000002-2000022-2-20000000000
χ82-2-2200-2-2-2222000002-20000-1-11133−3−3000000
χ92-2-2200-2-2-2222000002-20000-1-111−3−333000000
χ103333333-1-13-1-1-1-13-1-1-1-11111000000001-1-11-1-1
χ113333333-1-13-1-1-1-13-1-1-1-1-1-1-1-100000000-111-111
χ12333333-13-1-13-1-1-1-13-1-1-1111100000000-11-1-11-1
χ13333333-13-1-13-1-1-1-13-1-1-1-1-1-1-1000000001-111-11
χ14333333-1-13-1-13-1-1-1-13-1-1111100000000-1-11-1-11
χ15333333-1-13-1-13-1-1-1-13-1-1-1-1-1-10000000011-111-1
χ163333-3-33-1-13-1-111-311-1-111-1-1000000001-1-1-111
χ173333-3-33-1-13-1-111-311-1-1-1-11100000000-1111-1-1
χ183333-3-3-13-1-13-1111-31-1-111-1-100000000-11-11-11
χ193333-3-3-13-1-13-1111-31-1-1-1-111000000001-11-11-1
χ203333-3-3-1-13-1-131111-3-1-111-1-100000000-1-1111-1
χ213333-3-3-1-13-1-131111-3-1-1-1-1110000000011-1-1-11
χ224-44-44-400000000000002i−2i2i−2i1-1-111-11-1000000
χ234-44-44-40000000000000−2i2i−2i2i1-1-111-11-1000000
χ244-44-4-4400000000000002i−2i−2i2i1-1-11-11-11000000
χ254-44-4-440000000000000−2i2i2i−2i1-1-11-11-11000000
χ26666666-2-2-2-2-2-222-2-2-222000000000000000000
χ276666-6-6-2-2-2-2-2-2-2-222222000000000000000000
χ286-6-6600222-2-2-24i−4i0002-2000000000000000000
χ296-6-6600222-2-2-2−4i4i0002-2000000000000000000
χ306-6-660022-6-2-2600000-22000000000000000000
χ316-6-66002-62-26-200000-22000000000000000000
χ326-6-6600-6226-2-200000-22000000000000000000
χ3388-8-800000000000000000002-22-20000000000
χ3488-8-80000000000000000000-11-113−3−33000000
χ3588-8-80000000000000000000-11-11−333−3000000
χ368-88-88-800000000000000000-111-1-11-11000000
χ378-88-8-8800000000000000000-111-11-11-1000000

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