24 groups of order 6846.
| SmallGroups | group |
|---|---|
| (6846, 1) | C2×C3×C7×C163 #20292054 |
| (6846, 2) | C2×C7×C163⋊C3 #20292055 |
| (6846, 3) | C2×ΓL(1,𝔽8)×C163 #20292056 |
| (6846, 4) | C2×#16811962 #20292057 |
| (6846, 5) | C2×#16811961 #20292058 |
| (6846, 6) | C3×C7×D163 #20292059 |
| (6846, 7) | C3×D7×C163 #20292060 |
| (6846, 8) | C3×D1141 #20292061 |
| (6846, 9) | D3×C7×C163 #20292062 |
| (6846, 10) | C7×D489 #20292063 |
| (6846, 11) | D21×C163 #20292064 |
| (6846, 12) | D3423 #20292065 |
| (6846, 13) | C7×D163⋊C3 #20292066 |
| (6846, 14) | ΓL(1,𝔽8)×D163 #20292067 |
| (6846, 15) | #20292068 |
| (6846, 16) | #20292069 |
| (6846, 17) | D7×C163⋊C3 #20292070 |
| (6846, 18) | AGL(1,𝔽7)×C163 #20292071 |
| (6846, 19) | #20292072 |
| (6846, 20) | #20292073 |
| (6846, 21) | (C163⋊C3)⋊D7 #20292074 |
| (6846, 22) | ΓL(1,𝔽8)⋊D163 #20292075 |
| (6846, 23) | #20292076 |
| (6846, 24) | #20292077 |