| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C2.1(C23.C23) = C42.371D4 | central extension (φ=1) | 32 | | C2.1(C2^3.C2^3) | 128,190 |
| C2.2(C23.C23) = C42.393D4 | central extension (φ=1) | 32 | | C2.2(C2^3.C2^3) | 128,192 |
| C2.3(C23.C23) = C42.394D4 | central extension (φ=1) | 64 | | C2.3(C2^3.C2^3) | 128,193 |
| C2.4(C23.C23) = C24.162C23 | central extension (φ=1) | 32 | | C2.4(C2^3.C2^3) | 128,472 |
| C2.5(C23.C23) = C4×C23⋊C4 | central extension (φ=1) | 32 | | C2.5(C2^3.C2^3) | 128,486 |
| C2.6(C23.C23) = C42.42D4 | central stem extension (φ=1) | 32 | | C2.6(C2^3.C2^3) | 128,196 |
| C2.7(C23.C23) = C42.43D4 | central stem extension (φ=1) | 32 | | C2.7(C2^3.C2^3) | 128,198 |
| C2.8(C23.C23) = C42.44D4 | central stem extension (φ=1) | 64 | | C2.8(C2^3.C2^3) | 128,199 |
| C2.9(C23.C23) = C42.395D4 | central stem extension (φ=1) | 32 | | C2.9(C2^3.C2^3) | 128,201 |
| C2.10(C23.C23) = C42.396D4 | central stem extension (φ=1) | 64 | | C2.10(C2^3.C2^3) | 128,202 |
| C2.11(C23.C23) = C42.372D4 | central stem extension (φ=1) | 32 | | C2.11(C2^3.C2^3) | 128,205 |
| C2.12(C23.C23) = C42.375D4 | central stem extension (φ=1) | 32 | | C2.12(C2^3.C2^3) | 128,232 |
| C2.13(C23.C23) = C42.403D4 | central stem extension (φ=1) | 32 | | C2.13(C2^3.C2^3) | 128,234 |
| C2.14(C23.C23) = C42.404D4 | central stem extension (φ=1) | 32 | | C2.14(C2^3.C2^3) | 128,235 |
| C2.15(C23.C23) = C42.55D4 | central stem extension (φ=1) | 32 | | C2.15(C2^3.C2^3) | 128,237 |
| C2.16(C23.C23) = C42.56D4 | central stem extension (φ=1) | 32 | | C2.16(C2^3.C2^3) | 128,238 |
| C2.17(C23.C23) = C42.57D4 | central stem extension (φ=1) | 32 | | C2.17(C2^3.C2^3) | 128,241 |
| C2.18(C23.C23) = C42.58D4 | central stem extension (φ=1) | 32 | | C2.18(C2^3.C2^3) | 128,244 |
| C2.19(C23.C23) = C42.59D4 | central stem extension (φ=1) | 32 | | C2.19(C2^3.C2^3) | 128,246 |
| C2.20(C23.C23) = C42.60D4 | central stem extension (φ=1) | 32 | | C2.20(C2^3.C2^3) | 128,247 |
| C2.21(C23.C23) = C42.61D4 | central stem extension (φ=1) | 32 | | C2.21(C2^3.C2^3) | 128,249 |
| C2.22(C23.C23) = C42.62D4 | central stem extension (φ=1) | 32 | | C2.22(C2^3.C2^3) | 128,250 |
| C2.23(C23.C23) = C42.63D4 | central stem extension (φ=1) | 32 | | C2.23(C2^3.C2^3) | 128,253 |
| C2.24(C23.C23) = C24.165C23 | central stem extension (φ=1) | 32 | | C2.24(C2^3.C2^3) | 128,514 |
| C2.25(C23.C23) = C24.167C23 | central stem extension (φ=1) | 32 | | C2.25(C2^3.C2^3) | 128,531 |
| C2.26(C23.C23) = C24.169C23 | central stem extension (φ=1) | 32 | | C2.26(C2^3.C2^3) | 128,552 |
| C2.27(C23.C23) = C24.174C23 | central stem extension (φ=1) | 32 | | C2.27(C2^3.C2^3) | 128,631 |
| C2.28(C23.C23) = C24.175C23 | central stem extension (φ=1) | 32 | | C2.28(C2^3.C2^3) | 128,696 |
| C2.29(C23.C23) = C24.176C23 | central stem extension (φ=1) | 32 | | C2.29(C2^3.C2^3) | 128,728 |