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Extensions 1→N→G→Q→1 with N=C2×C60 and Q=C2

Direct product G=N×Q with N=C2×C60 and Q=C2
dρLabelID
C22×C60240C2^2xC60240,185

Semidirect products G=N:Q with N=C2×C60 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C2×C60)⋊1C2 = C3×D10⋊C4φ: C2/C1 → C2 ⊆ Aut C2×C60120(C2xC60):1C2240,43
(C2×C60)⋊2C2 = C5×D6⋊C4φ: C2/C1 → C2 ⊆ Aut C2×C60120(C2xC60):2C2240,59
(C2×C60)⋊3C2 = D30⋊3C4φ: C2/C1 → C2 ⊆ Aut C2×C60120(C2xC60):3C2240,75
(C2×C60)⋊4C2 = C15×C22⋊C4φ: C2/C1 → C2 ⊆ Aut C2×C60120(C2xC60):4C2240,82
(C2×C60)⋊5C2 = C2×D60φ: C2/C1 → C2 ⊆ Aut C2×C60120(C2xC60):5C2240,177
(C2×C60)⋊6C2 = D60⋊11C2φ: C2/C1 → C2 ⊆ Aut C2×C601202(C2xC60):6C2240,178
(C2×C60)⋊7C2 = C2×C4×D15φ: C2/C1 → C2 ⊆ Aut C2×C60120(C2xC60):7C2240,176
(C2×C60)⋊8C2 = C6×D20φ: C2/C1 → C2 ⊆ Aut C2×C60120(C2xC60):8C2240,157
(C2×C60)⋊9C2 = C3×C4○D20φ: C2/C1 → C2 ⊆ Aut C2×C601202(C2xC60):9C2240,158
(C2×C60)⋊10C2 = C10×D12φ: C2/C1 → C2 ⊆ Aut C2×C60120(C2xC60):10C2240,167
(C2×C60)⋊11C2 = C5×C4○D12φ: C2/C1 → C2 ⊆ Aut C2×C601202(C2xC60):11C2240,168
(C2×C60)⋊12C2 = D5×C2×C12φ: C2/C1 → C2 ⊆ Aut C2×C60120(C2xC60):12C2240,156
(C2×C60)⋊13C2 = S3×C2×C20φ: C2/C1 → C2 ⊆ Aut C2×C60120(C2xC60):13C2240,166
(C2×C60)⋊14C2 = D4×C30φ: C2/C1 → C2 ⊆ Aut C2×C60120(C2xC60):14C2240,186
(C2×C60)⋊15C2 = C15×C4○D4φ: C2/C1 → C2 ⊆ Aut C2×C601202(C2xC60):15C2240,188

Non-split extensions G=N.Q with N=C2×C60 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C2×C60).1C2 = C3×C10.D4φ: C2/C1 → C2 ⊆ Aut C2×C60240(C2xC60).1C2240,41
(C2×C60).2C2 = C5×Dic3⋊C4φ: C2/C1 → C2 ⊆ Aut C2×C60240(C2xC60).2C2240,57
(C2×C60).3C2 = C30.4Q8φ: C2/C1 → C2 ⊆ Aut C2×C60240(C2xC60).3C2240,73
(C2×C60).4C2 = C15×C4⋊C4φ: C2/C1 → C2 ⊆ Aut C2×C60240(C2xC60).4C2240,83
(C2×C60).5C2 = C60⋊5C4φ: C2/C1 → C2 ⊆ Aut C2×C60240(C2xC60).5C2240,74
(C2×C60).6C2 = C2×Dic30φ: C2/C1 → C2 ⊆ Aut C2×C60240(C2xC60).6C2240,175
(C2×C60).7C2 = C60.7C4φ: C2/C1 → C2 ⊆ Aut C2×C601202(C2xC60).7C2240,71
(C2×C60).8C2 = C2×C15⋊3C8φ: C2/C1 → C2 ⊆ Aut C2×C60240(C2xC60).8C2240,70
(C2×C60).9C2 = C4×Dic15φ: C2/C1 → C2 ⊆ Aut C2×C60240(C2xC60).9C2240,72
(C2×C60).10C2 = C3×C4⋊Dic5φ: C2/C1 → C2 ⊆ Aut C2×C60240(C2xC60).10C2240,42
(C2×C60).11C2 = C6×Dic10φ: C2/C1 → C2 ⊆ Aut C2×C60240(C2xC60).11C2240,155
(C2×C60).12C2 = C3×C4.Dic5φ: C2/C1 → C2 ⊆ Aut C2×C601202(C2xC60).12C2240,39
(C2×C60).13C2 = C5×C4⋊Dic3φ: C2/C1 → C2 ⊆ Aut C2×C60240(C2xC60).13C2240,58
(C2×C60).14C2 = C10×Dic6φ: C2/C1 → C2 ⊆ Aut C2×C60240(C2xC60).14C2240,165
(C2×C60).15C2 = C5×C4.Dic3φ: C2/C1 → C2 ⊆ Aut C2×C601202(C2xC60).15C2240,55
(C2×C60).16C2 = C6×C5⋊2C8φ: C2/C1 → C2 ⊆ Aut C2×C60240(C2xC60).16C2240,38
(C2×C60).17C2 = C12×Dic5φ: C2/C1 → C2 ⊆ Aut C2×C60240(C2xC60).17C2240,40
(C2×C60).18C2 = C10×C3⋊C8φ: C2/C1 → C2 ⊆ Aut C2×C60240(C2xC60).18C2240,54
(C2×C60).19C2 = Dic3×C20φ: C2/C1 → C2 ⊆ Aut C2×C60240(C2xC60).19C2240,56
(C2×C60).20C2 = C15×M4(2)φ: C2/C1 → C2 ⊆ Aut C2×C601202(C2xC60).20C2240,85
(C2×C60).21C2 = Q8×C30φ: C2/C1 → C2 ⊆ Aut C2×C60240(C2xC60).21C2240,187

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