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

Direct product G=N×Q with N=Dic7 and Q=C42

Semidirect products G=N:Q with N=Dic7 and Q=C42
extensionφ:Q→Out NdρLabelID
Dic71C42 = Dic7⋊C42φ: C42/C2×C4C2 ⊆ Out Dic7448Dic7:1C4^2448,183
Dic72C42 = C4×Dic7⋊C4φ: C42/C2×C4C2 ⊆ Out Dic7448Dic7:2C4^2448,465

Non-split extensions G=N.Q with N=Dic7 and Q=C42
extensionφ:Q→Out NdρLabelID
Dic7.1C42 = C4×C8⋊D7φ: C42/C2×C4C2 ⊆ Out Dic7224Dic7.1C4^2448,221
Dic7.2C42 = D14.C42φ: C42/C2×C4C2 ⊆ Out Dic7224Dic7.2C4^2448,223
Dic7.3C42 = Dic7.C42φ: C42/C2×C4C2 ⊆ Out Dic7224Dic7.3C4^2448,241
Dic7.4C42 = D14.4C42φ: C42/C2×C4C2 ⊆ Out Dic7224Dic7.4C4^2448,242
Dic7.5C42 = Dic7.5C42φ: trivial image448Dic7.5C4^2448,182
Dic7.6C42 = D7×C4×C8φ: trivial image224Dic7.6C4^2448,218
Dic7.7C42 = D7×C8⋊C4φ: trivial image224Dic7.7C4^2448,238