Extensions 1→N→G→Q→1 with N=C100 and Q=C2

Direct product G=N×Q with N=C100 and Q=C2
dρLabelID
C2×C100200C2xC100200,9

Semidirect products G=N:Q with N=C100 and Q=C2
extensionφ:Q→Aut NdρLabelID
C1001C2 = D100φ: C2/C1C2 ⊆ Aut C1001002+C100:1C2200,6
C1002C2 = C4×D25φ: C2/C1C2 ⊆ Aut C1001002C100:2C2200,5
C1003C2 = D4×C25φ: C2/C1C2 ⊆ Aut C1001002C100:3C2200,10

Non-split extensions G=N.Q with N=C100 and Q=C2
extensionφ:Q→Aut NdρLabelID
C100.1C2 = Dic50φ: C2/C1C2 ⊆ Aut C1002002-C100.1C2200,4
C100.2C2 = C252C8φ: C2/C1C2 ⊆ Aut C1002002C100.2C2200,1
C100.3C2 = Q8×C25φ: C2/C1C2 ⊆ Aut C1002002C100.3C2200,11

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