Extensions 1→N→G→Q→1 with N=C16 and Q=Q8

Direct product G=N×Q with N=C16 and Q=Q8
dρLabelID
Q8×C16128Q8xC16128,914

Semidirect products G=N:Q with N=C16 and Q=Q8
extensionφ:Q→Aut NdρLabelID
C16⋊Q8 = C16⋊Q8φ: Q8/C2C22 ⊆ Aut C16128C16:Q8128,987
C162Q8 = C162Q8φ: Q8/C4C2 ⊆ Aut C16128C16:2Q8128,984
C163Q8 = C163Q8φ: Q8/C4C2 ⊆ Aut C16128C16:3Q8128,986
C164Q8 = C164Q8φ: Q8/C4C2 ⊆ Aut C16128C16:4Q8128,915

Non-split extensions G=N.Q with N=C16 and Q=Q8
extensionφ:Q→Aut NdρLabelID
C16.Q8 = C8.Q16φ: Q8/C2C22 ⊆ Aut C16324C16.Q8128,158
C16.2Q8 = C323C4φ: Q8/C4C2 ⊆ Aut C16128C16.2Q8128,155
C16.3Q8 = C324C4φ: Q8/C4C2 ⊆ Aut C16128C16.3Q8128,156
C16.4Q8 = C32.C4φ: Q8/C4C2 ⊆ Aut C16642C16.4Q8128,157
C16.5Q8 = C16.5Q8φ: Q8/C4C2 ⊆ Aut C16128C16.5Q8128,985
C16.6Q8 = C8.C16φ: Q8/C4C2 ⊆ Aut C16322C16.6Q8128,154
C16.7Q8 = C4⋊C32central extension (φ=1)128C16.7Q8128,153

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