Extensions 1→N→G→Q→1 with N=D56 and Q=C2

Direct product G=N×Q with N=D56 and Q=C2

Semidirect products G=N:Q with N=D56 and Q=C2
extensionφ:Q→Out NdρLabelID
D561C2 = D112φ: C2/C1C2 ⊆ Out D561122+D56:1C2224,5
D562C2 = C8⋊D14φ: C2/C1C2 ⊆ Out D56564+D56:2C2224,103
D563C2 = C7⋊D16φ: C2/C1C2 ⊆ Out D561124+D56:3C2224,32
D564C2 = D7×D8φ: C2/C1C2 ⊆ Out D56564+D56:4C2224,105
D565C2 = Q8.D14φ: C2/C1C2 ⊆ Out D561124+D56:5C2224,114
D566C2 = D56⋊C2φ: C2/C1C2 ⊆ Out D56564+D56:6C2224,109
D567C2 = D567C2φ: trivial image1122D56:7C2224,99

Non-split extensions G=N.Q with N=D56 and Q=C2
extensionφ:Q→Out NdρLabelID
D56.1C2 = C112⋊C2φ: C2/C1C2 ⊆ Out D561122D56.1C2224,6
D56.2C2 = C7⋊SD32φ: C2/C1C2 ⊆ Out D561124+D56.2C2224,34