Extensions 1→N→G→Q→1 with N=C2×C12 and Q=D7

Direct product G=N×Q with N=C2×C12 and Q=D7
dρLabelID
D7×C2×C12168D7xC2xC12336,175

Semidirect products G=N:Q with N=C2×C12 and Q=D7
extensionφ:Q→Aut NdρLabelID
(C2×C12)⋊1D7 = C3×D14⋊C4φ: D7/C7C2 ⊆ Aut C2×C12168(C2xC12):1D7336,68
(C2×C12)⋊2D7 = C2.D84φ: D7/C7C2 ⊆ Aut C2×C12168(C2xC12):2D7336,100
(C2×C12)⋊3D7 = C2×D84φ: D7/C7C2 ⊆ Aut C2×C12168(C2xC12):3D7336,196
(C2×C12)⋊4D7 = D8411C2φ: D7/C7C2 ⊆ Aut C2×C121682(C2xC12):4D7336,197
(C2×C12)⋊5D7 = C2×C4×D21φ: D7/C7C2 ⊆ Aut C2×C12168(C2xC12):5D7336,195
(C2×C12)⋊6D7 = C6×D28φ: D7/C7C2 ⊆ Aut C2×C12168(C2xC12):6D7336,176
(C2×C12)⋊7D7 = C3×C4○D28φ: D7/C7C2 ⊆ Aut C2×C121682(C2xC12):7D7336,177

Non-split extensions G=N.Q with N=C2×C12 and Q=D7
extensionφ:Q→Aut NdρLabelID
(C2×C12).1D7 = C3×Dic7⋊C4φ: D7/C7C2 ⊆ Aut C2×C12336(C2xC12).1D7336,66
(C2×C12).2D7 = C42.4Q8φ: D7/C7C2 ⊆ Aut C2×C12336(C2xC12).2D7336,98
(C2×C12).3D7 = C84⋊C4φ: D7/C7C2 ⊆ Aut C2×C12336(C2xC12).3D7336,99
(C2×C12).4D7 = C2×Dic42φ: D7/C7C2 ⊆ Aut C2×C12336(C2xC12).4D7336,194
(C2×C12).5D7 = C84.C4φ: D7/C7C2 ⊆ Aut C2×C121682(C2xC12).5D7336,96
(C2×C12).6D7 = C2×C21⋊C8φ: D7/C7C2 ⊆ Aut C2×C12336(C2xC12).6D7336,95
(C2×C12).7D7 = C4×Dic21φ: D7/C7C2 ⊆ Aut C2×C12336(C2xC12).7D7336,97
(C2×C12).8D7 = C3×C4.Dic7φ: D7/C7C2 ⊆ Aut C2×C121682(C2xC12).8D7336,64
(C2×C12).9D7 = C3×C4⋊Dic7φ: D7/C7C2 ⊆ Aut C2×C12336(C2xC12).9D7336,67
(C2×C12).10D7 = C6×Dic14φ: D7/C7C2 ⊆ Aut C2×C12336(C2xC12).10D7336,174
(C2×C12).11D7 = C6×C7⋊C8central extension (φ=1)336(C2xC12).11D7336,63
(C2×C12).12D7 = C12×Dic7central extension (φ=1)336(C2xC12).12D7336,65

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