| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C2×He3⋊4S3 | 54 | C2xHe3:4S3 | 324,144 | 
| extension | φ:Q→Out N | d | ρ | Label | ID | 
|---|---|---|---|---|---|
| He3⋊4S3⋊1C2 = S3×C32⋊C6 | φ: C2/C1 → C2 ⊆ Out He3⋊4S3 | 18 | 12+ | He3:4S3:1C2 | 324,116 | 
| He3⋊4S3⋊2C2 = He3⋊5D6 | φ: C2/C1 → C2 ⊆ Out He3⋊4S3 | 18 | 12+ | He3:4S3:2C2 | 324,121 | 
| He3⋊4S3⋊3C2 = He3⋊6D6 | φ: C2/C1 → C2 ⊆ Out He3⋊4S3 | 27 | He3:4S3:3C2 | 324,124 |