d | ρ | Label | ID | ||
---|---|---|---|---|---|
S3×C3×C27 | 162 | S3xC3xC27 | 486,112 |
extension | φ:Q→Aut N | d | ρ | Label | ID |
---|---|---|---|---|---|
C27⋊(C3×S3) = C33.5D9 | φ: C3×S3/C3 → C6 ⊆ Aut C27 | 81 | C27:(C3xS3) | 486,162 | |
C27⋊2(C3×S3) = S3×C27⋊C3 | φ: C3×S3/S3 → C3 ⊆ Aut C27 | 54 | 6 | C27:2(C3xS3) | 486,114 |
C27⋊3(C3×S3) = C3×C27⋊S3 | φ: C3×S3/C32 → C2 ⊆ Aut C27 | 162 | C27:3(C3xS3) | 486,160 |
extension | φ:Q→Aut N | d | ρ | Label | ID |
---|---|---|---|---|---|
C27.1(C3×S3) = C3×D81 | φ: C3×S3/C32 → C2 ⊆ Aut C27 | 162 | 2 | C27.1(C3xS3) | 486,32 |
C27.2(C3×S3) = C81⋊C6 | φ: C3×S3/C32 → C2 ⊆ Aut C27 | 81 | 6+ | C27.2(C3xS3) | 486,34 |
C27.3(C3×S3) = He3.5D9 | φ: C3×S3/C32 → C2 ⊆ Aut C27 | 81 | 6+ | C27.3(C3xS3) | 486,163 |
C27.4(C3×S3) = S3×C81 | central extension (φ=1) | 162 | 2 | C27.4(C3xS3) | 486,33 |