Extensions 1→N→G→Q→1 with N=C7xDic5 and Q=C2

Direct product G=NxQ with N=C7xDic5 and Q=C2
dρLabelID
C14xDic5280C14xDic5280,22

Semidirect products G=N:Q with N=C7xDic5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C7xDic5):1C2 = D7xDic5φ: C2/C1C2 ⊆ Out C7xDic51404-(C7xDic5):1C2280,7
(C7xDic5):2C2 = D70.C2φ: C2/C1C2 ⊆ Out C7xDic51404+(C7xDic5):2C2280,9
(C7xDic5):3C2 = C5:D28φ: C2/C1C2 ⊆ Out C7xDic51404+(C7xDic5):3C2280,11
(C7xDic5):4C2 = C7xC5:D4φ: C2/C1C2 ⊆ Out C7xDic51402(C7xDic5):4C2280,23
(C7xDic5):5C2 = D5xC28φ: trivial image1402(C7xDic5):5C2280,20

Non-split extensions G=N.Q with N=C7xDic5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C7xDic5).1C2 = C35:Q8φ: C2/C1C2 ⊆ Out C7xDic52804-(C7xDic5).1C2280,13
(C7xDic5).2C2 = C35:C8φ: C2/C1C2 ⊆ Out C7xDic52804(C7xDic5).2C2280,6
(C7xDic5).3C2 = C7xDic10φ: C2/C1C2 ⊆ Out C7xDic52802(C7xDic5).3C2280,19
(C7xDic5).4C2 = C7xC5:C8φ: C2/C1C2 ⊆ Out C7xDic52804(C7xDic5).4C2280,5

׿
x
:
Z
F
o
wr
Q
<