Extensions 1→N→G→Q→1 with N=D34 and Q=C4

Direct product G=N×Q with N=D34 and Q=C4
dρLabelID
C2×C4×D17136C2xC4xD17272,37

Semidirect products G=N:Q with N=D34 and Q=C4
extensionφ:Q→Out NdρLabelID
D341C4 = D34⋊C4φ: C4/C2C2 ⊆ Out D34136D34:1C4272,14
D342C4 = D17.D4φ: C4/C2C2 ⊆ Out D34684+D34:2C4272,35
D343C4 = C22×C17⋊C4φ: C4/C2C2 ⊆ Out D3468D34:3C4272,52

Non-split extensions G=N.Q with N=D34 and Q=C4
extensionφ:Q→Out NdρLabelID
D34.C4 = C2×C17⋊C8φ: C4/C1C4 ⊆ Out D34348+D34.C4272,51
D34.2C4 = C8⋊D17φ: C4/C2C2 ⊆ Out D341362D34.2C4272,5
D34.3C4 = C68.C4φ: C4/C2C2 ⊆ Out D341364D34.3C4272,29
D34.4C4 = D34.4C4φ: C4/C2C2 ⊆ Out D341364D34.4C4272,30
D34.5C4 = C8×D17φ: trivial image1362D34.5C4272,4

׿
×
𝔽