Extensions 1→N→G→Q→1 with N=Dic7 and Q=C42

Direct product G=NxQ with N=Dic7 and Q=C42
dρLabelID
C42xDic7448C4^2xDic7448,464

Semidirect products G=N:Q with N=Dic7 and Q=C42
extensionφ:Q→Out NdρLabelID
Dic7:1C42 = Dic7:C42φ: C42/C2xC4C2 ⊆ Out Dic7448Dic7:1C4^2448,183
Dic7:2C42 = C4xDic7:C4φ: C42/C2xC4C2 ⊆ Out Dic7448Dic7:2C4^2448,465

Non-split extensions G=N.Q with N=Dic7 and Q=C42
extensionφ:Q→Out NdρLabelID
Dic7.1C42 = C4xC8:D7φ: C42/C2xC4C2 ⊆ Out Dic7224Dic7.1C4^2448,221
Dic7.2C42 = D14.C42φ: C42/C2xC4C2 ⊆ Out Dic7224Dic7.2C4^2448,223
Dic7.3C42 = Dic7.C42φ: C42/C2xC4C2 ⊆ Out Dic7224Dic7.3C4^2448,241
Dic7.4C42 = D14.4C42φ: C42/C2xC4C2 ⊆ Out Dic7224Dic7.4C4^2448,242
Dic7.5C42 = Dic7.5C42φ: trivial image448Dic7.5C4^2448,182
Dic7.6C42 = D7xC4xC8φ: trivial image224Dic7.6C4^2448,218
Dic7.7C42 = D7xC8:C4φ: trivial image224Dic7.7C4^2448,238

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