Extensions 1→N→G→Q→1 with N=C7×D5 and Q=C6

Direct product G=N×Q with N=C7×D5 and Q=C6
dρLabelID
D5×C422102D5xC42420,35

Semidirect products G=N:Q with N=C7×D5 and Q=C6
extensionφ:Q→Out NdρLabelID
(C7×D5)⋊C6 = D5×F7φ: C6/C1C6 ⊆ Out C7×D53512+(C7xD5):C6420,16
(C7×D5)⋊2C6 = C2×D5×C7⋊C3φ: C6/C2C3 ⊆ Out C7×D5706(C7xD5):2C6420,18
(C7×D5)⋊3C6 = C3×D5×D7φ: C6/C3C2 ⊆ Out C7×D51054(C7xD5):3C6420,24

Non-split extensions G=N.Q with N=C7×D5 and Q=C6
extensionφ:Q→Out NdρLabelID
(C7×D5).1C6 = C35⋊C12φ: C6/C1C6 ⊆ Out C7×D53512(C7xD5).1C6420,15
(C7×D5).2C6 = F5×C7⋊C3φ: C6/C1C6 ⊆ Out C7×D53512(C7xD5).2C6420,14
(C7×D5).3C6 = C3×C7⋊F5φ: C6/C3C2 ⊆ Out C7×D51054(C7xD5).3C6420,21
(C7×D5).4C6 = F5×C21φ: C6/C3C2 ⊆ Out C7×D51054(C7xD5).4C6420,20

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