Extensions 1→N→G→Q→1 with N=Dic7 and Q=C2xC8

Direct product G=NxQ with N=Dic7 and Q=C2xC8
dρLabelID
C2xC8xDic7448C2xC8xDic7448,632

Semidirect products G=N:Q with N=Dic7 and Q=C2xC8
extensionφ:Q→Out NdρLabelID
Dic7:1(C2xC8) = C7:D4:C8φ: C2xC8/C8C2 ⊆ Out Dic7224Dic7:1(C2xC8)448,259
Dic7:2(C2xC8) = C8xC7:D4φ: C2xC8/C8C2 ⊆ Out Dic7224Dic7:2(C2xC8)448,643
Dic7:3(C2xC8) = D7xC4:C8φ: C2xC8/C2xC4C2 ⊆ Out Dic7224Dic7:3(C2xC8)448,366
Dic7:4(C2xC8) = C2xDic7:C8φ: C2xC8/C2xC4C2 ⊆ Out Dic7448Dic7:4(C2xC8)448,633
Dic7:5(C2xC8) = D7xC4xC8φ: trivial image224Dic7:5(C2xC8)448,218

Non-split extensions G=N.Q with N=Dic7 and Q=C2xC8
extensionφ:Q→Out NdρLabelID
Dic7.1(C2xC8) = C8xDic14φ: C2xC8/C8C2 ⊆ Out Dic7448Dic7.1(C2xC8)448,212
Dic7.2(C2xC8) = Dic14:C8φ: C2xC8/C8C2 ⊆ Out Dic7448Dic7.2(C2xC8)448,364
Dic7.3(C2xC8) = D28.4C8φ: C2xC8/C8C2 ⊆ Out Dic72242Dic7.3(C2xC8)448,435
Dic7.4(C2xC8) = C16.12D14φ: C2xC8/C8C2 ⊆ Out Dic72244Dic7.4(C2xC8)448,441
Dic7.5(C2xC8) = C42.282D14φ: C2xC8/C2xC4C2 ⊆ Out Dic7224Dic7.5(C2xC8)448,219
Dic7.6(C2xC8) = C2xC16:D7φ: C2xC8/C2xC4C2 ⊆ Out Dic7224Dic7.6(C2xC8)448,434
Dic7.7(C2xC8) = D7xM5(2)φ: C2xC8/C2xC4C2 ⊆ Out Dic71124Dic7.7(C2xC8)448,440
Dic7.8(C2xC8) = Dic7.5M4(2)φ: trivial image224Dic7.8(C2xC8)448,252
Dic7.9(C2xC8) = C42.200D14φ: trivial image224Dic7.9(C2xC8)448,367
Dic7.10(C2xC8) = D7xC2xC16φ: trivial image224Dic7.10(C2xC8)448,433

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