# Extensions 1→N→G→Q→1 with N=D5×C2×C6 and Q=C2

Direct product G=N×Q with N=D5×C2×C6 and Q=C2
dρLabelID
D5×C22×C6120D5xC2^2xC6240,205

Semidirect products G=N:Q with N=D5×C2×C6 and Q=C2
extensionφ:Q→Out NdρLabelID
(D5×C2×C6)⋊1C2 = C2×C15⋊D4φ: C2/C1C2 ⊆ Out D5×C2×C6120(D5xC2xC6):1C2240,145
(D5×C2×C6)⋊2C2 = C2×C3⋊D20φ: C2/C1C2 ⊆ Out D5×C2×C6120(D5xC2xC6):2C2240,146
(D5×C2×C6)⋊3C2 = D5×C3⋊D4φ: C2/C1C2 ⊆ Out D5×C2×C6604(D5xC2xC6):3C2240,149
(D5×C2×C6)⋊4C2 = C22×S3×D5φ: C2/C1C2 ⊆ Out D5×C2×C660(D5xC2xC6):4C2240,202
(D5×C2×C6)⋊5C2 = C6×D20φ: C2/C1C2 ⊆ Out D5×C2×C6120(D5xC2xC6):5C2240,157
(D5×C2×C6)⋊6C2 = C3×D4×D5φ: C2/C1C2 ⊆ Out D5×C2×C6604(D5xC2xC6):6C2240,159
(D5×C2×C6)⋊7C2 = C6×C5⋊D4φ: C2/C1C2 ⊆ Out D5×C2×C6120(D5xC2xC6):7C2240,164

Non-split extensions G=N.Q with N=D5×C2×C6 and Q=C2
extensionφ:Q→Out NdρLabelID
(D5×C2×C6).1C2 = D10⋊Dic3φ: C2/C1C2 ⊆ Out D5×C2×C6120(D5xC2xC6).1C2240,26
(D5×C2×C6).2C2 = C2×D5×Dic3φ: C2/C1C2 ⊆ Out D5×C2×C6120(D5xC2xC6).2C2240,139
(D5×C2×C6).3C2 = C3×D10⋊C4φ: C2/C1C2 ⊆ Out D5×C2×C6120(D5xC2xC6).3C2240,43
(D5×C2×C6).4C2 = D10.D6φ: C2/C1C2 ⊆ Out D5×C2×C6604(D5xC2xC6).4C2240,124
(D5×C2×C6).5C2 = C22×C3⋊F5φ: C2/C1C2 ⊆ Out D5×C2×C660(D5xC2xC6).5C2240,201
(D5×C2×C6).6C2 = C3×C22⋊F5φ: C2/C1C2 ⊆ Out D5×C2×C6604(D5xC2xC6).6C2240,117
(D5×C2×C6).7C2 = C2×C6×F5φ: C2/C1C2 ⊆ Out D5×C2×C660(D5xC2xC6).7C2240,200
(D5×C2×C6).8C2 = D5×C2×C12φ: trivial image120(D5xC2xC6).8C2240,156

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