| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C24xC3:S3 | 144 | C2^4xC3:S3 | 288,1044 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C24:(C3:S3) = PSO4+ (F3) | φ: C3:S3/C1 → C3:S3 ⊆ Aut C24 | 12 | 9+ | C2^4:(C3:S3) | 288,1026 |
| C24:2(C3:S3) = (C2xC6):4S4 | φ: C3:S3/C3 → S3 ⊆ Aut C24 | 36 | 6 | C2^4:2(C3:S3) | 288,917 |
| C24:3(C3:S3) = C22xC3:S4 | φ: C3:S3/C3 → S3 ⊆ Aut C24 | 36 | C2^4:3(C3:S3) | 288,1034 | |
| C24:4(C3:S3) = (C2xC6):S4 | φ: C3:S3/C3 → S3 ⊆ Aut C24 | 24 | 6 | C2^4:4(C3:S3) | 288,1036 |
| C24:5(C3:S3) = C62:24D4 | φ: C3:S3/C32 → C2 ⊆ Aut C24 | 72 | C2^4:5(C3:S3) | 288,810 | |
| C24:6(C3:S3) = C22xC32:7D4 | φ: C3:S3/C32 → C2 ⊆ Aut C24 | 144 | C2^4:6(C3:S3) | 288,1017 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C24.(C3:S3) = C2xC6.7S4 | φ: C3:S3/C3 → S3 ⊆ Aut C24 | 72 | C2^4.(C3:S3) | 288,916 | |
| C24.2(C3:S3) = C2xC62:5C4 | φ: C3:S3/C32 → C2 ⊆ Aut C24 | 144 | C2^4.2(C3:S3) | 288,809 | |
| C24.3(C3:S3) = C23xC3:Dic3 | central extension (φ=1) | 288 | C2^4.3(C3:S3) | 288,1016 |