| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| (C22×C6).1(C3⋊S3) = C62⋊6Dic3 | φ: C3⋊S3/C3 → S3 ⊆ Aut C22×C6 | 36 | 3 | (C2^2xC6).1(C3:S3) | 432,260 |
| (C22×C6).2(C3⋊S3) = C2×C32⋊S4 | φ: C3⋊S3/C3 → S3 ⊆ Aut C22×C6 | 18 | 3 | (C2^2xC6).2(C3:S3) | 432,538 |
| (C22×C6).3(C3⋊S3) = C3×C6.7S4 | φ: C3⋊S3/C3 → S3 ⊆ Aut C22×C6 | 36 | 6 | (C2^2xC6).3(C3:S3) | 432,618 |
| (C22×C6).4(C3⋊S3) = A4⋊Dic9 | φ: C3⋊S3/C3 → S3 ⊆ Aut C22×C6 | 108 | 6- | (C2^2xC6).4(C3:S3) | 432,254 |
| (C22×C6).5(C3⋊S3) = C62.10Dic3 | φ: C3⋊S3/C3 → S3 ⊆ Aut C22×C6 | 108 | | (C2^2xC6).5(C3:S3) | 432,259 |
| (C22×C6).6(C3⋊S3) = C2×C9⋊S4 | φ: C3⋊S3/C3 → S3 ⊆ Aut C22×C6 | 54 | 6+ | (C2^2xC6).6(C3:S3) | 432,536 |
| (C22×C6).7(C3⋊S3) = C2×C32.3S4 | φ: C3⋊S3/C3 → S3 ⊆ Aut C22×C6 | 54 | | (C2^2xC6).7(C3:S3) | 432,537 |
| (C22×C6).8(C3⋊S3) = C62⋊10Dic3 | φ: C3⋊S3/C3 → S3 ⊆ Aut C22×C6 | 108 | | (C2^2xC6).8(C3:S3) | 432,621 |
| (C22×C6).9(C3⋊S3) = C62⋊4Dic3 | φ: C3⋊S3/C32 → C2 ⊆ Aut C22×C6 | 72 | | (C2^2xC6).9(C3:S3) | 432,199 |
| (C22×C6).10(C3⋊S3) = C2×He3⋊7D4 | φ: C3⋊S3/C32 → C2 ⊆ Aut C22×C6 | 72 | | (C2^2xC6).10(C3:S3) | 432,399 |
| (C22×C6).11(C3⋊S3) = C3×C62⋊5C4 | φ: C3⋊S3/C32 → C2 ⊆ Aut C22×C6 | 72 | | (C2^2xC6).11(C3:S3) | 432,495 |
| (C22×C6).12(C3⋊S3) = C62.127D6 | φ: C3⋊S3/C32 → C2 ⊆ Aut C22×C6 | 216 | | (C2^2xC6).12(C3:S3) | 432,198 |
| (C22×C6).13(C3⋊S3) = C22×C9⋊Dic3 | φ: C3⋊S3/C32 → C2 ⊆ Aut C22×C6 | 432 | | (C2^2xC6).13(C3:S3) | 432,396 |
| (C22×C6).14(C3⋊S3) = C2×C6.D18 | φ: C3⋊S3/C32 → C2 ⊆ Aut C22×C6 | 216 | | (C2^2xC6).14(C3:S3) | 432,397 |
| (C22×C6).15(C3⋊S3) = C63.C2 | φ: C3⋊S3/C32 → C2 ⊆ Aut C22×C6 | 216 | | (C2^2xC6).15(C3:S3) | 432,511 |
| (C22×C6).16(C3⋊S3) = C23×C9⋊S3 | φ: C3⋊S3/C32 → C2 ⊆ Aut C22×C6 | 216 | | (C2^2xC6).16(C3:S3) | 432,560 |
| (C22×C6).17(C3⋊S3) = C22×C33⋊5C4 | φ: C3⋊S3/C32 → C2 ⊆ Aut C22×C6 | 432 | | (C2^2xC6).17(C3:S3) | 432,728 |
| (C22×C6).18(C3⋊S3) = C22×He3⋊3C4 | central extension (φ=1) | 144 | | (C2^2xC6).18(C3:S3) | 432,398 |
| (C22×C6).19(C3⋊S3) = C23×He3⋊C2 | central extension (φ=1) | 72 | | (C2^2xC6).19(C3:S3) | 432,561 |
| (C22×C6).20(C3⋊S3) = C2×C6×C3⋊Dic3 | central extension (φ=1) | 144 | | (C2^2xC6).20(C3:S3) | 432,718 |