Extensions 1→N→G→Q→1 with N=C2×Q8 and Q=D7

Direct product G=N×Q with N=C2×Q8 and Q=D7
dρLabelID
C2×Q8×D7112C2xQ8xD7224,181

Semidirect products G=N:Q with N=C2×Q8 and Q=D7
extensionφ:Q→Out NdρLabelID
(C2×Q8)⋊1D7 = C2×Q8⋊D7φ: D7/C7C2 ⊆ Out C2×Q8112(C2xQ8):1D7224,136
(C2×Q8)⋊2D7 = C28.C23φ: D7/C7C2 ⊆ Out C2×Q81124(C2xQ8):2D7224,137
(C2×Q8)⋊3D7 = D143Q8φ: D7/C7C2 ⊆ Out C2×Q8112(C2xQ8):3D7224,141
(C2×Q8)⋊4D7 = C28.23D4φ: D7/C7C2 ⊆ Out C2×Q8112(C2xQ8):4D7224,142
(C2×Q8)⋊5D7 = Q8.10D14φ: D7/C7C2 ⊆ Out C2×Q81124(C2xQ8):5D7224,183
(C2×Q8)⋊6D7 = C2×Q82D7φ: trivial image112(C2xQ8):6D7224,182

Non-split extensions G=N.Q with N=C2×Q8 and Q=D7
extensionφ:Q→Out NdρLabelID
(C2×Q8).1D7 = Q8⋊Dic7φ: D7/C7C2 ⊆ Out C2×Q8224(C2xQ8).1D7224,41
(C2×Q8).2D7 = C28.10D4φ: D7/C7C2 ⊆ Out C2×Q81124(C2xQ8).2D7224,42
(C2×Q8).3D7 = C2×C7⋊Q16φ: D7/C7C2 ⊆ Out C2×Q8224(C2xQ8).3D7224,138
(C2×Q8).4D7 = Dic7⋊Q8φ: D7/C7C2 ⊆ Out C2×Q8224(C2xQ8).4D7224,139
(C2×Q8).5D7 = Q8×Dic7φ: trivial image224(C2xQ8).5D7224,140

׿
×
𝔽