Extensions 1→N→G→Q→1 with N=C2xD5xA4 and Q=C2

Direct product G=NxQ with N=C2xD5xA4 and Q=C2
dρLabelID
C22xD5xA460C2^2xD5xA4480,1202

Semidirect products G=N:Q with N=C2xD5xA4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2xD5xA4):1C2 = D10:S4φ: C2/C1C2 ⊆ Out C2xD5xA4606(C2xD5xA4):1C2480,980
(C2xD5xA4):2C2 = A4:D20φ: C2/C1C2 ⊆ Out C2xD5xA4606+(C2xD5xA4):2C2480,981
(C2xD5xA4):3C2 = C2xD5xS4φ: C2/C1C2 ⊆ Out C2xD5xA4306+(C2xD5xA4):3C2480,1193
(C2xD5xA4):4C2 = A4xD20φ: C2/C1C2 ⊆ Out C2xD5xA4606+(C2xD5xA4):4C2480,1037
(C2xD5xA4):5C2 = A4xC5:D4φ: C2/C1C2 ⊆ Out C2xD5xA4606(C2xD5xA4):5C2480,1045

Non-split extensions G=N.Q with N=C2xD5xA4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2xD5xA4).1C2 = D5xA4:C4φ: C2/C1C2 ⊆ Out C2xD5xA4606(C2xD5xA4).1C2480,979
(C2xD5xA4).2C2 = C2xA4:F5φ: C2/C1C2 ⊆ Out C2xD5xA43012+(C2xD5xA4).2C2480,1191
(C2xD5xA4).3C2 = C2xA4xF5φ: C2/C1C2 ⊆ Out C2xD5xA43012+(C2xD5xA4).3C2480,1192
(C2xD5xA4).4C2 = C4xD5xA4φ: trivial image606(C2xD5xA4).4C2480,1036

׿
x
:
Z
F
o
wr
Q
<