# Extensions 1→N→G→Q→1 with N=C6×D5 and Q=C6

Direct product G=N×Q with N=C6×D5 and Q=C6
dρLabelID
D5×C62180D5xC6^2360,157

Semidirect products G=N:Q with N=C6×D5 and Q=C6
extensionφ:Q→Out NdρLabelID
(C6×D5)⋊1C6 = C3×C15⋊D4φ: C6/C3C2 ⊆ Out C6×D5604(C6xD5):1C6360,61
(C6×D5)⋊2C6 = C3×C3⋊D20φ: C6/C3C2 ⊆ Out C6×D5604(C6xD5):2C6360,62
(C6×D5)⋊3C6 = S3×C6×D5φ: C6/C3C2 ⊆ Out C6×D5604(C6xD5):3C6360,151
(C6×D5)⋊4C6 = C32×D20φ: C6/C3C2 ⊆ Out C6×D5180(C6xD5):4C6360,92
(C6×D5)⋊5C6 = C32×C5⋊D4φ: C6/C3C2 ⊆ Out C6×D5180(C6xD5):5C6360,94

Non-split extensions G=N.Q with N=C6×D5 and Q=C6
extensionφ:Q→Out NdρLabelID
(C6×D5).1C6 = C3×D5×Dic3φ: C6/C3C2 ⊆ Out C6×D5604(C6xD5).1C6360,58
(C6×D5).2C6 = C9×D20φ: C6/C3C2 ⊆ Out C6×D51802(C6xD5).2C6360,17
(C6×D5).3C6 = C9×C5⋊D4φ: C6/C3C2 ⊆ Out C6×D51802(C6xD5).3C6360,19
(C6×D5).4C6 = C6×C3⋊F5φ: C6/C3C2 ⊆ Out C6×D5604(C6xD5).4C6360,146
(C6×D5).5C6 = C18×F5φ: C6/C3C2 ⊆ Out C6×D5904(C6xD5).5C6360,43
(C6×D5).6C6 = C3×C6×F5φ: C6/C3C2 ⊆ Out C6×D590(C6xD5).6C6360,145
(C6×D5).7C6 = D5×C36φ: trivial image1802(C6xD5).7C6360,16
(C6×D5).8C6 = D5×C2×C18φ: trivial image180(C6xD5).8C6360,47
(C6×D5).9C6 = D5×C3×C12φ: trivial image180(C6xD5).9C6360,91

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