Extensions 1→N→G→Q→1 with N=Dic7 and Q=C22:C4

Direct product G=NxQ with N=Dic7 and Q=C22:C4
dρLabelID
C22:C4xDic7224C2^2:C4xDic7448,475

Semidirect products G=N:Q with N=Dic7 and Q=C22:C4
extensionφ:Q→Out NdρLabelID
Dic7:1(C22:C4) = C24.13D14φ: C22:C4/C2xC4C2 ⊆ Out Dic7224Dic7:1(C2^2:C4)448,491
Dic7:2(C22:C4) = D14:(C4:C4)φ: C22:C4/C23C2 ⊆ Out Dic7224Dic7:2(C2^2:C4)448,201
Dic7:3(C22:C4) = C24.44D14φ: C22:C4/C23C2 ⊆ Out Dic7224Dic7:3(C2^2:C4)448,476
Dic7:4(C22:C4) = D14:C42φ: trivial image224Dic7:4(C2^2:C4)448,200

Non-split extensions G=N.Q with N=Dic7 and Q=C22:C4
extensionφ:Q→Out NdρLabelID
Dic7.1(C22:C4) = (C2xC28):Q8φ: C22:C4/C2xC4C2 ⊆ Out Dic7448Dic7.1(C2^2:C4)448,180
Dic7.2(C22:C4) = D14:C8:C2φ: C22:C4/C2xC4C2 ⊆ Out Dic7224Dic7.2(C2^2:C4)448,261
Dic7.3(C22:C4) = C23:C4:5D7φ: C22:C4/C2xC4C2 ⊆ Out Dic71128-Dic7.3(C2^2:C4)448,274
Dic7.4(C22:C4) = D7xC4.D4φ: C22:C4/C2xC4C2 ⊆ Out Dic7568+Dic7.4(C2^2:C4)448,278
Dic7.5(C22:C4) = D7xC4.10D4φ: C22:C4/C2xC4C2 ⊆ Out Dic71128-Dic7.5(C2^2:C4)448,284
Dic7.6(C22:C4) = D7xD4:C4φ: C22:C4/C2xC4C2 ⊆ Out Dic7112Dic7.6(C2^2:C4)448,303
Dic7.7(C22:C4) = (D4xD7):C4φ: C22:C4/C2xC4C2 ⊆ Out Dic7112Dic7.7(C2^2:C4)448,304
Dic7.8(C22:C4) = D7xQ8:C4φ: C22:C4/C2xC4C2 ⊆ Out Dic7224Dic7.8(C2^2:C4)448,335
Dic7.9(C22:C4) = (Q8xD7):C4φ: C22:C4/C2xC4C2 ⊆ Out Dic7224Dic7.9(C2^2:C4)448,336
Dic7.10(C22:C4) = D7xC4wrC2φ: C22:C4/C2xC4C2 ⊆ Out Dic7564Dic7.10(C2^2:C4)448,354
Dic7.11(C22:C4) = D14:M4(2)φ: C22:C4/C23C2 ⊆ Out Dic7112Dic7.11(C2^2:C4)448,260
Dic7.12(C22:C4) = D4:(C4xD7)φ: C22:C4/C23C2 ⊆ Out Dic7224Dic7.12(C2^2:C4)448,305
Dic7.13(C22:C4) = Q8:(C4xD7)φ: C22:C4/C23C2 ⊆ Out Dic7224Dic7.13(C2^2:C4)448,337
Dic7.14(C22:C4) = C42:D14φ: C22:C4/C23C2 ⊆ Out Dic71124Dic7.14(C2^2:C4)448,355
Dic7.15(C22:C4) = D7xC22:C8φ: trivial image112Dic7.15(C2^2:C4)448,258
Dic7.16(C22:C4) = M4(2).19D14φ: trivial image1128-Dic7.16(C2^2:C4)448,279
Dic7.17(C22:C4) = M4(2).21D14φ: trivial image1128+Dic7.17(C2^2:C4)448,285
Dic7.18(C22:C4) = D4:2D7:C4φ: trivial image224Dic7.18(C2^2:C4)448,306
Dic7.19(C22:C4) = Q8:2D7:C4φ: trivial image224Dic7.19(C2^2:C4)448,338

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