Extensions 1→N→G→Q→1 with N=C2×Q8 and Q=Dic7

Direct product G=N×Q with N=C2×Q8 and Q=Dic7
dρLabelID
C2×Q8×Dic7448C2xQ8xDic7448,1264

Semidirect products G=N:Q with N=C2×Q8 and Q=Dic7
extensionφ:Q→Out NdρLabelID
(C2×Q8)⋊1Dic7 = C4⋊C4⋊Dic7φ: Dic7/C7C4 ⊆ Out C2×Q8112(C2xQ8):1Dic7448,95
(C2×Q8)⋊2Dic7 = C422Dic7φ: Dic7/C7C4 ⊆ Out C2×Q81124(C2xQ8):2Dic7448,98
(C2×Q8)⋊3Dic7 = C2×Q8⋊Dic7φ: Dic7/C14C2 ⊆ Out C2×Q8448(C2xQ8):3Dic7448,758
(C2×Q8)⋊4Dic7 = (Q8×C14)⋊6C4φ: Dic7/C14C2 ⊆ Out C2×Q8224(C2xQ8):4Dic7448,759
(C2×Q8)⋊5Dic7 = (Q8×C14)⋊7C4φ: Dic7/C14C2 ⊆ Out C2×Q8448(C2xQ8):5Dic7448,764
(C2×Q8)⋊6Dic7 = C2×D42Dic7φ: Dic7/C14C2 ⊆ Out C2×Q8112(C2xQ8):6Dic7448,769
(C2×Q8)⋊7Dic7 = (D4×C14)⋊9C4φ: Dic7/C14C2 ⊆ Out C2×Q81124(C2xQ8):7Dic7448,770
(C2×Q8)⋊8Dic7 = (D4×C14)⋊10C4φ: Dic7/C14C2 ⊆ Out C2×Q81124(C2xQ8):8Dic7448,774
(C2×Q8)⋊9Dic7 = C14.422- 1+4φ: Dic7/C14C2 ⊆ Out C2×Q8224(C2xQ8):9Dic7448,1265

Non-split extensions G=N.Q with N=C2×Q8 and Q=Dic7
extensionφ:Q→Out NdρLabelID
(C2×Q8).1Dic7 = C42.7D14φ: Dic7/C7C4 ⊆ Out C2×Q8224(C2xQ8).1Dic7448,97
(C2×Q8).2Dic7 = C28.5Q16φ: Dic7/C7C4 ⊆ Out C2×Q8448(C2xQ8).2Dic7448,103
(C2×Q8).3Dic7 = C42.3Dic7φ: Dic7/C7C4 ⊆ Out C2×Q81124(C2xQ8).3Dic7448,105
(C2×Q8).4Dic7 = C28.26Q16φ: Dic7/C14C2 ⊆ Out C2×Q8448(C2xQ8).4Dic7448,92
(C2×Q8).5Dic7 = C42.210D14φ: Dic7/C14C2 ⊆ Out C2×Q8448(C2xQ8).5Dic7448,558
(C2×Q8).6Dic7 = C2×C28.10D4φ: Dic7/C14C2 ⊆ Out C2×Q8224(C2xQ8).6Dic7448,760
(C2×Q8).7Dic7 = (D4×C14).11C4φ: Dic7/C14C2 ⊆ Out C2×Q8224(C2xQ8).7Dic7448,768
(C2×Q8).8Dic7 = C28.76C24φ: Dic7/C14C2 ⊆ Out C2×Q81124(C2xQ8).8Dic7448,1272
(C2×Q8).9Dic7 = Q8×C7⋊C8φ: trivial image448(C2xQ8).9Dic7448,557
(C2×Q8).10Dic7 = C2×Q8.Dic7φ: trivial image224(C2xQ8).10Dic7448,1271

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