15 groups of order 10312.
| SmallGroups | group |
|---|---|
| (10312, 1) | C8×C1289 #23780020 |
| (10312, 2) | C2×C4×C1289 #23780021 |
| (10312, 3) | D4×C1289 #23780022 |
| (10312, 4) | Q8×C1289 #23780023 |
| (10312, 5) | C23×C1289 #23780024 |
| (10312, 6) | #23780025 |
| (10312, 7) | C4×D1289 #23780026 |
| (10312, 8) | C2×Dic1289 #23780027 |
| (10312, 9) | C22⋊D1289 #23780028 |
| (10312, 10) | D5156 #23780029 |
| (10312, 11) | Dic2578 #23780030 |
| (10312, 12) | C22×D1289 #23780031 |
| (10312, 13) | #23780032 |
| (10312, 14) | C2×#19104277 #23780033 |
| (10312, 15) | #23780034 |