| extension | φ:Q→Aut N | d | ρ | Label | ID |
| C2.1(Q8×C23) = C23×C4⋊C4 | central extension (φ=1) | 128 | | C2.1(Q8xC2^3) | 128,2152 |
| C2.2(Q8×C23) = Q8×C22×C4 | central extension (φ=1) | 128 | | C2.2(Q8xC2^3) | 128,2155 |
| C2.3(Q8×C23) = C22×C22⋊Q8 | central stem extension (φ=1) | 64 | | C2.3(Q8xC2^3) | 128,2165 |
| C2.4(Q8×C23) = C22×C42.C2 | central stem extension (φ=1) | 128 | | C2.4(Q8xC2^3) | 128,2169 |
| C2.5(Q8×C23) = C22×C4⋊Q8 | central stem extension (φ=1) | 128 | | C2.5(Q8xC2^3) | 128,2173 |
| C2.6(Q8×C23) = C2×C23.37C23 | central stem extension (φ=1) | 64 | | C2.6(Q8xC2^3) | 128,2175 |
| C2.7(Q8×C23) = C2×C23⋊2Q8 | central stem extension (φ=1) | 32 | | C2.7(Q8xC2^3) | 128,2188 |
| C2.8(Q8×C23) = C2×C23.41C23 | central stem extension (φ=1) | 64 | | C2.8(Q8xC2^3) | 128,2189 |
| C2.9(Q8×C23) = C22.47C25 | central stem extension (φ=1) | 32 | | C2.9(Q8xC2^3) | 128,2190 |
| C2.10(Q8×C23) = C2×D4×Q8 | central stem extension (φ=1) | 64 | | C2.10(Q8xC2^3) | 128,2198 |
| C2.11(Q8×C23) = C2×D4⋊3Q8 | central stem extension (φ=1) | 64 | | C2.11(Q8xC2^3) | 128,2204 |
| C2.12(Q8×C23) = C2×Q8⋊3Q8 | central stem extension (φ=1) | 128 | | C2.12(Q8xC2^3) | 128,2208 |
| C2.13(Q8×C23) = C2×Q82 | central stem extension (φ=1) | 128 | | C2.13(Q8xC2^3) | 128,2209 |
| C2.14(Q8×C23) = Q8×C4○D4 | central stem extension (φ=1) | 64 | | C2.14(Q8xC2^3) | 128,2210 |
| C2.15(Q8×C23) = C22.90C25 | central stem extension (φ=1) | 32 | | C2.15(Q8xC2^3) | 128,2233 |
| C2.16(Q8×C23) = C22.91C25 | central stem extension (φ=1) | 64 | | C2.16(Q8xC2^3) | 128,2234 |
| C2.17(Q8×C23) = C22.92C25 | central stem extension (φ=1) | 64 | | C2.17(Q8xC2^3) | 128,2235 |
| C2.18(Q8×C23) = C22.93C25 | central stem extension (φ=1) | 64 | | C2.18(Q8xC2^3) | 128,2236 |