# Extensions 1→N→G→Q→1 with N=C6×C30 and Q=C2

Direct product G=N×Q with N=C6×C30 and Q=C2
dρLabelID
C2×C6×C30360C2xC6xC30360,162

Semidirect products G=N:Q with N=C6×C30 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C6×C30)⋊1C2 = D4×C3×C15φ: C2/C1C2 ⊆ Aut C6×C30180(C6xC30):1C2360,116
(C6×C30)⋊2C2 = C62⋊D5φ: C2/C1C2 ⊆ Aut C6×C30180(C6xC30):2C2360,114
(C6×C30)⋊3C2 = C22×C3⋊D15φ: C2/C1C2 ⊆ Aut C6×C30180(C6xC30):3C2360,161
(C6×C30)⋊4C2 = C3×C157D4φ: C2/C1C2 ⊆ Aut C6×C30602(C6xC30):4C2360,104
(C6×C30)⋊5C2 = C2×C6×D15φ: C2/C1C2 ⊆ Aut C6×C30120(C6xC30):5C2360,159
(C6×C30)⋊6C2 = C32×C5⋊D4φ: C2/C1C2 ⊆ Aut C6×C30180(C6xC30):6C2360,94
(C6×C30)⋊7C2 = D5×C62φ: C2/C1C2 ⊆ Aut C6×C30180(C6xC30):7C2360,157
(C6×C30)⋊8C2 = C15×C3⋊D4φ: C2/C1C2 ⊆ Aut C6×C30602(C6xC30):8C2360,99
(C6×C30)⋊9C2 = C5×C327D4φ: C2/C1C2 ⊆ Aut C6×C30180(C6xC30):9C2360,109
(C6×C30)⋊10C2 = S3×C2×C30φ: C2/C1C2 ⊆ Aut C6×C30120(C6xC30):10C2360,158
(C6×C30)⋊11C2 = C3⋊S3×C2×C10φ: C2/C1C2 ⊆ Aut C6×C30180(C6xC30):11C2360,160

Non-split extensions G=N.Q with N=C6×C30 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C6×C30).1C2 = C2×C3⋊Dic15φ: C2/C1C2 ⊆ Aut C6×C30360(C6xC30).1C2360,113
(C6×C30).2C2 = C6×Dic15φ: C2/C1C2 ⊆ Aut C6×C30120(C6xC30).2C2360,103
(C6×C30).3C2 = C3×C6×Dic5φ: C2/C1C2 ⊆ Aut C6×C30360(C6xC30).3C2360,93
(C6×C30).4C2 = Dic3×C30φ: C2/C1C2 ⊆ Aut C6×C30120(C6xC30).4C2360,98
(C6×C30).5C2 = C10×C3⋊Dic3φ: C2/C1C2 ⊆ Aut C6×C30360(C6xC30).5C2360,108

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