Extensions 1→N→G→Q→1 with N=C3xD5 and Q=C2xC6

Direct product G=NxQ with N=C3xD5 and Q=C2xC6
dρLabelID
D5xC62180D5xC6^2360,157

Semidirect products G=N:Q with N=C3xD5 and Q=C2xC6
extensionφ:Q→Out NdρLabelID
(C3xD5):(C2xC6) = S3xC6xD5φ: C2xC6/C6C2 ⊆ Out C3xD5604(C3xD5):(C2xC6)360,151

Non-split extensions G=N.Q with N=C3xD5 and Q=C2xC6
extensionφ:Q→Out NdρLabelID
(C3xD5).(C2xC6) = C3xS3xF5φ: C2xC6/C3C22 ⊆ Out C3xD5308(C3xD5).(C2xC6)360,126
(C3xD5).2(C2xC6) = C6xC3:F5φ: C2xC6/C6C2 ⊆ Out C3xD5604(C3xD5).2(C2xC6)360,146
(C3xD5).3(C2xC6) = C18xF5φ: C2xC6/C6C2 ⊆ Out C3xD5904(C3xD5).3(C2xC6)360,43
(C3xD5).4(C2xC6) = C3xC6xF5φ: C2xC6/C6C2 ⊆ Out C3xD590(C3xD5).4(C2xC6)360,145
(C3xD5).5(C2xC6) = D5xC2xC18φ: trivial image180(C3xD5).5(C2xC6)360,47

׿
x
:
Z
F
o
wr
Q
<