Extensions 1→N→G→Q→1 with N=2+ 1+4 and Q=C14

Direct product G=NxQ with N=2+ 1+4 and Q=C14
dρLabelID
C14x2+ 1+4112C14xES+(2,2)448,1389

Semidirect products G=N:Q with N=2+ 1+4 and Q=C14
extensionφ:Q→Out NdρLabelID
2+ 1+4:1C14 = C7xD4:4D4φ: C14/C7C2 ⊆ Out 2+ 1+4564ES+(2,2):1C14448,861
2+ 1+4:2C14 = C7xC2wrC22φ: C14/C7C2 ⊆ Out 2+ 1+4564ES+(2,2):2C14448,865
2+ 1+4:3C14 = C7xD4oD8φ: C14/C7C2 ⊆ Out 2+ 1+41124ES+(2,2):3C14448,1359
2+ 1+4:4C14 = C7xD4oSD16φ: C14/C7C2 ⊆ Out 2+ 1+41124ES+(2,2):4C14448,1360
2+ 1+4:5C14 = C7xC2.C25φ: trivial image1124ES+(2,2):5C14448,1391

Non-split extensions G=N.Q with N=2+ 1+4 and Q=C14
extensionφ:Q→Out NdρLabelID
2+ 1+4.1C14 = C7xD4.9D4φ: C14/C7C2 ⊆ Out 2+ 1+41124ES+(2,2).1C14448,863
2+ 1+4.2C14 = C7xC23.7D4φ: C14/C7C2 ⊆ Out 2+ 1+41124ES+(2,2).2C14448,866

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