Extensions 1→N→G→Q→1 with N=C172C8 and Q=C2

Direct product G=N×Q with N=C172C8 and Q=C2
dρLabelID
C2×C172C8272C2xC17:2C8272,33

Semidirect products G=N:Q with N=C172C8 and Q=C2
extensionφ:Q→Out NdρLabelID
C172C81C2 = D34.4C4φ: C2/C1C2 ⊆ Out C172C81364C17:2C8:1C2272,30
C172C82C2 = C17⋊M4(2)φ: C2/C1C2 ⊆ Out C172C81364-C17:2C8:2C2272,34
C172C83C2 = C68.C4φ: trivial image1364C17:2C8:3C2272,29

Non-split extensions G=N.Q with N=C172C8 and Q=C2
extensionφ:Q→Out NdρLabelID
C172C8.C2 = C34.C8φ: C2/C1C2 ⊆ Out C172C82728-C17:2C8.C2272,28

׿
×
𝔽