| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| (C2×C6).1S4 = C3×C42⋊S3 | φ: S4/C22 → S3 ⊆ Aut C2×C6 | 36 | 3 | (C2xC6).1S4 | 288,397 |
| (C2×C6).2S4 = C42⋊D9 | φ: S4/C22 → S3 ⊆ Aut C2×C6 | 36 | 6+ | (C2xC6).2S4 | 288,67 |
| (C2×C6).3S4 = (C4×C12)⋊S3 | φ: S4/C22 → S3 ⊆ Aut C2×C6 | 36 | 6+ | (C2xC6).3S4 | 288,401 |
| (C2×C6).4S4 = C24⋊D9 | φ: S4/C22 → S3 ⊆ Aut C2×C6 | 36 | 6 | (C2xC6).4S4 | 288,836 |
| (C2×C6).5S4 = C3×Q8.D6 | φ: S4/A4 → C2 ⊆ Aut C2×C6 | 48 | 4 | (C2xC6).5S4 | 288,901 |
| (C2×C6).6S4 = Q8⋊Dic9 | φ: S4/A4 → C2 ⊆ Aut C2×C6 | 288 | | (C2xC6).6S4 | 288,69 |
| (C2×C6).7S4 = C2×Q8.D9 | φ: S4/A4 → C2 ⊆ Aut C2×C6 | 288 | | (C2xC6).7S4 | 288,335 |
| (C2×C6).8S4 = C2×Q8⋊D9 | φ: S4/A4 → C2 ⊆ Aut C2×C6 | 144 | | (C2xC6).8S4 | 288,336 |
| (C2×C6).9S4 = Q8.D18 | φ: S4/A4 → C2 ⊆ Aut C2×C6 | 144 | 4 | (C2xC6).9S4 | 288,337 |
| (C2×C6).10S4 = C2×C6.S4 | φ: S4/A4 → C2 ⊆ Aut C2×C6 | 72 | | (C2xC6).10S4 | 288,341 |
| (C2×C6).11S4 = C23.D18 | φ: S4/A4 → C2 ⊆ Aut C2×C6 | 36 | 6 | (C2xC6).11S4 | 288,342 |
| (C2×C6).12S4 = C6.GL2(𝔽3) | φ: S4/A4 → C2 ⊆ Aut C2×C6 | 96 | | (C2xC6).12S4 | 288,403 |
| (C2×C6).13S4 = C22×C3.S4 | φ: S4/A4 → C2 ⊆ Aut C2×C6 | 36 | | (C2xC6).13S4 | 288,835 |
| (C2×C6).14S4 = C2×C6.5S4 | φ: S4/A4 → C2 ⊆ Aut C2×C6 | 96 | | (C2xC6).14S4 | 288,910 |
| (C2×C6).15S4 = C2×C6.6S4 | φ: S4/A4 → C2 ⊆ Aut C2×C6 | 48 | | (C2xC6).15S4 | 288,911 |
| (C2×C6).16S4 = SL2(𝔽3).D6 | φ: S4/A4 → C2 ⊆ Aut C2×C6 | 48 | 4 | (C2xC6).16S4 | 288,912 |
| (C2×C6).17S4 = C2×C6.7S4 | φ: S4/A4 → C2 ⊆ Aut C2×C6 | 72 | | (C2xC6).17S4 | 288,916 |
| (C2×C6).18S4 = C3×Q8⋊Dic3 | central extension (φ=1) | 96 | | (C2xC6).18S4 | 288,399 |
| (C2×C6).19S4 = C6×CSU2(𝔽3) | central extension (φ=1) | 96 | | (C2xC6).19S4 | 288,899 |
| (C2×C6).20S4 = C6×GL2(𝔽3) | central extension (φ=1) | 48 | | (C2xC6).20S4 | 288,900 |
| (C2×C6).21S4 = C6×A4⋊C4 | central extension (φ=1) | 72 | | (C2xC6).21S4 | 288,905 |