Direct product G=NxQ 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 = C23xD8 | φ: C25/C24 → C2 ⊆ Aut C4 | 64 | | C4.1C2^5 | 128,2306 |
C4.2C25 = C23xSD16 | φ: C25/C24 → C2 ⊆ Aut C4 | 64 | | C4.2C2^5 | 128,2307 |
C4.3C25 = C23xQ16 | φ: C25/C24 → C2 ⊆ Aut C4 | 128 | | C4.3C2^5 | 128,2308 |
C4.4C25 = C22xC4oD8 | φ: C25/C24 → C2 ⊆ Aut C4 | 64 | | C4.4C2^5 | 128,2309 |
C4.5C25 = C22xC8:C22 | φ: C25/C24 → C2 ⊆ Aut C4 | 32 | | C4.5C2^5 | 128,2310 |
C4.6C25 = C22xC8.C22 | φ: C25/C24 → C2 ⊆ Aut C4 | 64 | | C4.6C2^5 | 128,2311 |
C4.7C25 = C2xD8:C22 | φ: C25/C24 → C2 ⊆ Aut C4 | 32 | | C4.7C2^5 | 128,2312 |
C4.8C25 = C2xD4oD8 | φ: C25/C24 → C2 ⊆ Aut C4 | 32 | | C4.8C2^5 | 128,2313 |
C4.9C25 = C2xD4oSD16 | φ: C25/C24 → C2 ⊆ Aut C4 | 32 | | C4.9C2^5 | 128,2314 |
C4.10C25 = C2xQ8oD8 | 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 = Q8xC24 | φ: C25/C24 → C2 ⊆ Aut C4 | 128 | | C4.14C2^5 | 128,2321 |
C4.15C25 = C22x2+ 1+4 | φ: C25/C24 → C2 ⊆ Aut C4 | 32 | | C4.15C2^5 | 128,2323 |
C4.16C25 = C22x2- 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 = C23xM4(2) | central extension (φ=1) | 64 | | C4.19C2^5 | 128,2302 |
C4.20C25 = C22xC8oD4 | central extension (φ=1) | 64 | | C4.20C2^5 | 128,2303 |
C4.21C25 = C2xQ8oM4(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 = C23xC4oD4 | central extension (φ=1) | 64 | | C4.23C2^5 | 128,2322 |
C4.24C25 = C2xC2.C25 | central extension (φ=1) | 32 | | C4.24C2^5 | 128,2325 |
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