Finite Group DatabasebetaFinite Group Databasebeta18 non-abelian indecomposable groups of order 168.
Groups that are neither abelian nor a non-trivial direct product.
| SmallGroups | group |
|---|---|
| (168, 1) | ΓL(1,𝔽8)⋊C8 #4231 |
| (168, 5) | C3⋊(C7⋊C8) #4235 |
| (168, 7) | ΓL(1,𝔽8)⋊Q8 #4237 |
| (168, 9) | C4⋊AGL(1,𝔽7) #4239 |
| (168, 11) | (C22⋊D7)⋊C3 #4241 |
| (168, 14) | D21⋊C4 #4244 |
| (168, 15) | #4245 |
| (168, 16) | #4246 |
| (168, 17) | #4247 |
| (168, 18) | #4248 |
| (168, 23) | C7⋊SL(2,𝔽3) #4253 |
| (168, 34) | Dic42 #4264 |
| (168, 36) | D84 #4266 |
| (168, 38) | #4268 |
| (168, 42) | GL(3,𝔽2) #4272 |
| (168, 43) | AΓL(1,𝔽8) #4273 |
| (168, 46) | C7⋊S4 #4276 |
| (168, 49) | D7⋊A4 #4279 |