Extensions 1→N→G→Q→1 with N=C5xDic11 and Q=C2

Direct product G=NxQ with N=C5xDic11 and Q=C2
dρLabelID
C10xDic11440C10xDic11440,27

Semidirect products G=N:Q with N=C5xDic11 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5xDic11):1C2 = D5xDic11φ: C2/C1C2 ⊆ Out C5xDic112204-(C5xDic11):1C2440,18
(C5xDic11):2C2 = D55:2C4φ: C2/C1C2 ⊆ Out C5xDic112204+(C5xDic11):2C2440,19
(C5xDic11):3C2 = C11:D20φ: C2/C1C2 ⊆ Out C5xDic112204+(C5xDic11):3C2440,22
(C5xDic11):4C2 = C5xC11:D4φ: C2/C1C2 ⊆ Out C5xDic112202(C5xDic11):4C2440,28
(C5xDic11):5C2 = C20xD11φ: trivial image2202(C5xDic11):5C2440,25

Non-split extensions G=N.Q with N=C5xDic11 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5xDic11).1C2 = C55:Q8φ: C2/C1C2 ⊆ Out C5xDic114404-(C5xDic11).1C2440,23
(C5xDic11).2C2 = C5xDic22φ: C2/C1C2 ⊆ Out C5xDic114402(C5xDic11).2C2440,24

׿
x
:
Z
F
o
wr
Q
<