Extensions 1→N→G→Q→1 with N=C5×Dic7 and Q=C2

Direct product G=N×Q with N=C5×Dic7 and Q=C2
dρLabelID
C10×Dic7280C10xDic7280,17

Semidirect products G=N:Q with N=C5×Dic7 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×Dic7)⋊1C2 = D5×Dic7φ: C2/C1C2 ⊆ Out C5×Dic71404-(C5xDic7):1C2280,8
(C5×Dic7)⋊2C2 = D70.C2φ: C2/C1C2 ⊆ Out C5×Dic71404+(C5xDic7):2C2280,9
(C5×Dic7)⋊3C2 = C7⋊D20φ: C2/C1C2 ⊆ Out C5×Dic71404+(C5xDic7):3C2280,12
(C5×Dic7)⋊4C2 = C5×C7⋊D4φ: C2/C1C2 ⊆ Out C5×Dic71402(C5xDic7):4C2280,18
(C5×Dic7)⋊5C2 = D7×C20φ: trivial image1402(C5xDic7):5C2280,15

Non-split extensions G=N.Q with N=C5×Dic7 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×Dic7).1C2 = C35⋊Q8φ: C2/C1C2 ⊆ Out C5×Dic72804-(C5xDic7).1C2280,13
(C5×Dic7).2C2 = C5×Dic14φ: C2/C1C2 ⊆ Out C5×Dic72802(C5xDic7).2C2280,14

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