Extensions 1→N→G→Q→1 with N=Dic56 and Q=C2

Direct product G=N×Q with N=Dic56 and Q=C2

Semidirect products G=N:Q with N=Dic56 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic561C2 = C224⋊C2φ: C2/C1C2 ⊆ Out Dic562242Dic56:1C2448,6
Dic562C2 = C16.D14φ: C2/C1C2 ⊆ Out Dic562244-Dic56:2C2448,443
Dic563C2 = D16.D7φ: C2/C1C2 ⊆ Out Dic562244-Dic56:3C2448,77
Dic564C2 = D163D7φ: C2/C1C2 ⊆ Out Dic562244-Dic56:4C2448,446
Dic565C2 = D7×Q32φ: C2/C1C2 ⊆ Out Dic562244-Dic56:5C2448,451
Dic566C2 = SD32⋊D7φ: C2/C1C2 ⊆ Out Dic562244-Dic56:6C2448,449
Dic567C2 = D1127C2φ: trivial image2242Dic56:7C2448,438

Non-split extensions G=N.Q with N=Dic56 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic56.1C2 = Dic112φ: C2/C1C2 ⊆ Out Dic564482-Dic56.1C2448,7
Dic56.2C2 = C7⋊Q64φ: C2/C1C2 ⊆ Out Dic564484-Dic56.2C2448,79