Direct product G=N×Q with N=C4 and Q=C25
Semidirect products G=N:Q with N=C4 and Q=C25
Non-split extensions G=N.Q with N=C4 and Q=C25
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C4.1C25 = C23×D8 | φ: C25/C24 → C2 ⊆ Aut C4 | 64 | | C4.1C2^5 | 128,2306 |
| C4.2C25 = C23×SD16 | φ: C25/C24 → C2 ⊆ Aut C4 | 64 | | C4.2C2^5 | 128,2307 |
| C4.3C25 = C23×Q16 | φ: C25/C24 → C2 ⊆ Aut C4 | 128 | | C4.3C2^5 | 128,2308 |
| C4.4C25 = C22×C4○D8 | φ: C25/C24 → C2 ⊆ Aut C4 | 64 | | C4.4C2^5 | 128,2309 |
| C4.5C25 = C22×C8⋊C22 | φ: C25/C24 → C2 ⊆ Aut C4 | 32 | | C4.5C2^5 | 128,2310 |
| C4.6C25 = C22×C8.C22 | φ: C25/C24 → C2 ⊆ Aut C4 | 64 | | C4.6C2^5 | 128,2311 |
| C4.7C25 = C2×D8⋊C22 | φ: C25/C24 → C2 ⊆ Aut C4 | 32 | | C4.7C2^5 | 128,2312 |
| C4.8C25 = C2×D4○D8 | φ: C25/C24 → C2 ⊆ Aut C4 | 32 | | C4.8C2^5 | 128,2313 |
| C4.9C25 = C2×D4○SD16 | φ: C25/C24 → C2 ⊆ Aut C4 | 32 | | C4.9C2^5 | 128,2314 |
| C4.10C25 = C2×Q8○D8 | φ: C25/C24 → C2 ⊆ Aut C4 | 64 | | C4.10C2^5 | 128,2315 |
| C4.11C25 = C8.C24 | φ: C25/C24 → C2 ⊆ Aut C4 | 32 | 4 | C4.11C2^5 | 128,2316 |
| C4.12C25 = D8⋊C23 | φ: C25/C24 → C2 ⊆ Aut C4 | 16 | 8+ | C4.12C2^5 | 128,2317 |
| C4.13C25 = C4.C25 | φ: C25/C24 → C2 ⊆ Aut C4 | 32 | 8- | C4.13C2^5 | 128,2318 |
| C4.14C25 = Q8×C24 | φ: C25/C24 → C2 ⊆ Aut C4 | 128 | | C4.14C2^5 | 128,2321 |
| C4.15C25 = C22×2+ 1+4 | φ: C25/C24 → C2 ⊆ Aut C4 | 32 | | C4.15C2^5 | 128,2323 |
| C4.16C25 = C22×2- 1+4 | φ: C25/C24 → C2 ⊆ Aut C4 | 64 | | C4.16C2^5 | 128,2324 |
| C4.17C25 = 2+ 1+6 | φ: C25/C24 → C2 ⊆ Aut C4 | 16 | 8+ | C4.17C2^5 | 128,2326 |
| C4.18C25 = 2- 1+6 | φ: C25/C24 → C2 ⊆ Aut C4 | 32 | 8- | C4.18C2^5 | 128,2327 |
| C4.19C25 = C23×M4(2) | central extension (φ=1) | 64 | | C4.19C2^5 | 128,2302 |
| C4.20C25 = C22×C8○D4 | central extension (φ=1) | 64 | | C4.20C2^5 | 128,2303 |
| C4.21C25 = C2×Q8○M4(2) | central extension (φ=1) | 32 | | C4.21C2^5 | 128,2304 |
| C4.22C25 = C4.22C25 | central extension (φ=1) | 32 | 4 | C4.22C2^5 | 128,2305 |
| C4.23C25 = C23×C4○D4 | central extension (φ=1) | 64 | | C4.23C2^5 | 128,2322 |
| C4.24C25 = C2×C2.C25 | central extension (φ=1) | 32 | | C4.24C2^5 | 128,2325 |
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