d | ρ | Label | ID | ||
---|---|---|---|---|---|
C5×S3×C22⋊C4 | 120 | C5xS3xC2^2:C4 | 480,759 |
extension | φ:Q→Aut N | d | ρ | Label | ID |
---|---|---|---|---|---|
C5⋊(S3×C22⋊C4) = S3×C22⋊F5 | φ: S3×C22⋊C4/C22×S3 → C4 ⊆ Aut C5 | 60 | 8+ | C5:(S3xC2^2:C4) | 480,1011 |
C5⋊2(S3×C22⋊C4) = D30.27D4 | φ: S3×C22⋊C4/D6⋊C4 → C2 ⊆ Aut C5 | 120 | C5:2(S3xC2^2:C4) | 480,549 | |
C5⋊3(S3×C22⋊C4) = D30.45D4 | φ: S3×C22⋊C4/C6.D4 → C2 ⊆ Aut C5 | 120 | C5:3(S3xC2^2:C4) | 480,637 | |
C5⋊4(S3×C22⋊C4) = C22⋊C4×D15 | φ: S3×C22⋊C4/C3×C22⋊C4 → C2 ⊆ Aut C5 | 120 | C5:4(S3xC2^2:C4) | 480,845 | |
C5⋊5(S3×C22⋊C4) = S3×D10⋊C4 | φ: S3×C22⋊C4/S3×C2×C4 → C2 ⊆ Aut C5 | 120 | C5:5(S3xC2^2:C4) | 480,548 | |
C5⋊6(S3×C22⋊C4) = S3×C23.D5 | φ: S3×C22⋊C4/S3×C23 → C2 ⊆ Aut C5 | 120 | C5:6(S3xC2^2:C4) | 480,630 |