Extensions 1→N→G→Q→1 with N=Dic7 and Q=M4(2)

Direct product G=N×Q with N=Dic7 and Q=M4(2)

Semidirect products G=N:Q with N=Dic7 and Q=M4(2)
extensionφ:Q→Out NdρLabelID
Dic71M4(2) = Dic7⋊M4(2)φ: M4(2)/C8C2 ⊆ Out Dic7224Dic7:1M4(2)448,263
Dic72M4(2) = C5618D4φ: M4(2)/C8C2 ⊆ Out Dic7224Dic7:2M4(2)448,662
Dic73M4(2) = C28⋊M4(2)φ: M4(2)/C2×C4C2 ⊆ Out Dic7224Dic7:3M4(2)448,371
Dic74M4(2) = Dic74M4(2)φ: M4(2)/C2×C4C2 ⊆ Out Dic7224Dic7:4M4(2)448,652
Dic75M4(2) = Dic7.C42φ: trivial image224Dic7:5M4(2)448,241

Non-split extensions G=N.Q with N=Dic7 and Q=M4(2)
extensionφ:Q→Out NdρLabelID
Dic7.1M4(2) = C56⋊Q8φ: M4(2)/C8C2 ⊆ Out Dic7448Dic7.1M4(2)448,235
Dic7.2M4(2) = C42.27D14φ: M4(2)/C8C2 ⊆ Out Dic7448Dic7.2M4(2)448,362
Dic7.3M4(2) = C42.182D14φ: M4(2)/C2×C4C2 ⊆ Out Dic7224Dic7.3M4(2)448,239
Dic7.4M4(2) = Dic7.M4(2)φ: M4(2)/C2×C4C2 ⊆ Out Dic7224Dic7.4M4(2)448,253
Dic7.5M4(2) = Dic7.5M4(2)φ: trivial image224Dic7.5M4(2)448,252
Dic7.6M4(2) = C42.200D14φ: trivial image224Dic7.6M4(2)448,367