32 groups of order 6678.
| SmallGroups | group |
|---|---|
| (6678, 1) | C2×C7×C9×C53 #20269231 |
| (6678, 2) | C2×C53×C7⋊C9 #20269232 |
| (6678, 3) | C7×C9×D53 #20269233 |
| (6678, 4) | C9×D7×C53 #20269234 |
| (6678, 5) | C9×D371 #20269235 |
| (6678, 6) | C7×D9×C53 #20269236 |
| (6678, 7) | C7×D477 #20269237 |
| (6678, 8) | C53×D63 #20269238 |
| (6678, 9) | D3339 #20269239 |
| (6678, 10) | C7⋊C9×D53 #20269240 |
| (6678, 11) | C53×D7⋊C9 #20269241 |
| (6678, 12) | C53⋊(D7⋊C9) #20269242 |
| (6678, 13) | C2×C32×C7×C53 #20269243 |
| (6678, 14) | C3×AGL(1,𝔽7)×C53 #20269244 |
| (6678, 15) | C3×ΓL(1,𝔽8)⋊D53 #20269245 |
| (6678, 16) | C3×ΓL(1,𝔽8)×D53 #20269246 |
| (6678, 17) | C53×C3⋊AGL(1,𝔽7) #20269247 |
| (6678, 18) | C3⋊(ΓL(1,𝔽8)⋊D53) #20269248 |
| (6678, 19) | D3×ΓL(1,𝔽8)×C53 #20269249 |
| (6678, 20) | ΓL(1,𝔽8)×D159 #20269250 |
| (6678, 21) | C2×C3×ΓL(1,𝔽8)×C53 #20269251 |
| (6678, 22) | C32×C7×D53 #20269252 |
| (6678, 23) | C32×D7×C53 #20269253 |
| (6678, 24) | C32×D371 #20269254 |
| (6678, 25) | C3×D3×C7×C53 #20269255 |
| (6678, 26) | C3×C7×D159 #20269256 |
| (6678, 27) | C3×D21×C53 #20269257 |
| (6678, 28) | C3×D1113 #20269258 |
| (6678, 29) | C7×C3⋊D3×C53 #20269259 |
| (6678, 30) | C7×C3⋊D159 #20269260 |
| (6678, 31) | C53×C3⋊D21 #20269261 |
| (6678, 32) | C3⋊D1113 #20269262 |