Direct product G=N×Q with N=C4 and Q=C23
Semidirect products G=N:Q with N=C4 and Q=C23
Non-split extensions G=N.Q with N=C4 and Q=C23
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C4.1C23 = C2×D8 | φ: C23/C22 → C2 ⊆ Aut C4 | 16 | | C4.1C2^3 | 32,39 |
| C4.2C23 = C2×SD16 | φ: C23/C22 → C2 ⊆ Aut C4 | 16 | | C4.2C2^3 | 32,40 |
| C4.3C23 = C2×Q16 | φ: C23/C22 → C2 ⊆ Aut C4 | 32 | | C4.3C2^3 | 32,41 |
| C4.4C23 = C4○D8 | φ: C23/C22 → C2 ⊆ Aut C4 | 16 | 2 | C4.4C2^3 | 32,42 |
| C4.5C23 = C8⋊C22 | φ: C23/C22 → C2 ⊆ Aut C4 | 8 | 4+ | C4.5C2^3 | 32,43 |
| C4.6C23 = C8.C22 | φ: C23/C22 → C2 ⊆ Aut C4 | 16 | 4- | C4.6C2^3 | 32,44 |
| C4.7C23 = C22×Q8 | φ: C23/C22 → C2 ⊆ Aut C4 | 32 | | C4.7C2^3 | 32,47 |
| C4.8C23 = C2×C4○D4 | φ: C23/C22 → C2 ⊆ Aut C4 | 16 | | C4.8C2^3 | 32,48 |
| C4.9C23 = 2+ 1+4 | φ: C23/C22 → C2 ⊆ Aut C4 | 8 | 4+ | C4.9C2^3 | 32,49 |
| C4.10C23 = 2- 1+4 | φ: C23/C22 → C2 ⊆ Aut C4 | 16 | 4- | C4.10C2^3 | 32,50 |
| C4.11C23 = C2×M4(2) | central extension (φ=1) | 16 | | C4.11C2^3 | 32,37 |
| C4.12C23 = C8○D4 | central extension (φ=1) | 16 | 2 | C4.12C2^3 | 32,38 |
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