Extensions 1→N→G→Q→1 with N=C212 and Q=C2

Direct product G=N×Q with N=C212 and Q=C2
dρLabelID
C2×C212424C2xC212424,9

Semidirect products G=N:Q with N=C212 and Q=C2
extensionφ:Q→Aut NdρLabelID
C2121C2 = D212φ: C2/C1C2 ⊆ Aut C2122122+C212:1C2424,6
C2122C2 = C4×D53φ: C2/C1C2 ⊆ Aut C2122122C212:2C2424,5
C2123C2 = D4×C53φ: C2/C1C2 ⊆ Aut C2122122C212:3C2424,10

Non-split extensions G=N.Q with N=C212 and Q=C2
extensionφ:Q→Aut NdρLabelID
C212.1C2 = Dic106φ: C2/C1C2 ⊆ Aut C2124242-C212.1C2424,4
C212.2C2 = C532C8φ: C2/C1C2 ⊆ Aut C2124242C212.2C2424,1
C212.3C2 = Q8×C53φ: C2/C1C2 ⊆ Aut C2124242C212.3C2424,11

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