Extensions 1→N→G→Q→1 with N=C24 and Q=C2

Direct product G=N×Q with N=C24 and Q=C2
dρLabelID
C2532C2^532,51

Semidirect products G=N:Q with N=C24 and Q=C2
extensionφ:Q→Aut NdρLabelID
C241C2 = C22≀C2φ: C2/C1C2 ⊆ Aut C248C2^4:1C232,27
C242C2 = C22×D4φ: C2/C1C2 ⊆ Aut C2416C2^4:2C232,46

Non-split extensions G=N.Q with N=C24 and Q=C2
extensionφ:Q→Aut NdρLabelID
C24.C2 = C2×C22⋊C4φ: C2/C1C2 ⊆ Aut C2416C2^4.C232,22

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