| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C2×C3⋊S3⋊3C8 | 48 | C2xC3:S3:3C8 | 288,929 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C2.1(C3⋊S3⋊3C8) = C3⋊S3⋊3C16 | central extension (φ=1) | 48 | 4 | C2.1(C3:S3:3C8) | 288,412 |
| C2.2(C3⋊S3⋊3C8) = C4×C32⋊2C8 | central extension (φ=1) | 96 | C2.2(C3:S3:3C8) | 288,423 | |
| C2.3(C3⋊S3⋊3C8) = C32⋊3M5(2) | central stem extension (φ=1) | 48 | 4 | C2.3(C3:S3:3C8) | 288,413 |
| C2.4(C3⋊S3⋊3C8) = C62.6(C2×C4) | central stem extension (φ=1) | 48 | C2.4(C3:S3:3C8) | 288,426 | |
| C2.5(C3⋊S3⋊3C8) = C32⋊5(C4⋊C8) | central stem extension (φ=1) | 96 | C2.5(C3:S3:3C8) | 288,427 |