42 groups of order 16816.
| SmallGroups | group |
|---|---|
| (16816, 1) | C16×C1051 #30681194 |
| (16816, 2) | C42×C1051 #30681195 |
| (16816, 3) | C22⋊C4×C1051 #30681196 |
| (16816, 4) | C4⋊C4×C1051 #30681197 |
| (16816, 5) | C2×C8×C1051 #30681198 |
| (16816, 6) | M16×C1051 #30681199 |
| (16816, 7) | D8×C1051 #30681200 |
| (16816, 8) | SD16×C1051 #30681201 |
| (16816, 9) | Q16×C1051 #30681202 |
| (16816, 10) | C22×C4×C1051 #30681203 |
| (16816, 11) | C2×D4×C1051 #30681204 |
| (16816, 12) | C2×Q8×C1051 #30681205 |
| (16816, 13) | #41×C1051 #30681206 |
| (16816, 14) | C24×C1051 #30681207 |
| (16816, 15) | C1051⋊C16 #30681208 |
| (16816, 16) | C4×Dic1051 #30681209 |
| (16816, 17) | (C2×D1051)⋊C4 #30681210 |
| (16816, 18) | C22⋊Dic1051 #30681211 |
| (16816, 19) | Dic1051⋊C4 #30681212 |
| (16816, 20) | C4⋊Dic1051 #30681213 |
| (16816, 21) | C8×D1051 #30681214 |
| (16816, 22) | C2×C1051⋊C8 #30681215 |
| (16816, 23) | #30681216 |
| (16816, 24) | #30681217 |
| (16816, 25) | #30681218 |
| (16816, 26) | D8408 #30681219 |
| (16816, 27) | #30681220 |
| (16816, 28) | #30681221 |
| (16816, 29) | #30681222 |
| (16816, 30) | #30681223 |
| (16816, 31) | Dic4204 #30681224 |
| (16816, 32) | C2×C4×D1051 #30681225 |
| (16816, 33) | C22×Dic1051 #30681226 |
| (16816, 34) | D4×D1051 #30681227 |
| (16816, 35) | C2×C22⋊D1051 #30681228 |
| (16816, 36) | C2×D4204 #30681229 |
| (16816, 37) | Q8×D1051 #30681230 |
| (16816, 38) | C2×Dic2102 #30681231 |
| (16816, 39) | #30681232 |
| (16816, 40) | #30681233 |
| (16816, 41) | #30681234 |
| (16816, 42) | C23×D1051 #30681235 |