Extensions 1→N→G→Q→1 with N=C32 and Q=C22

Direct product G=N×Q with N=C32 and Q=C22
dρLabelID
C22×C32128C2^2xC32128,988

Semidirect products G=N:Q with N=C32 and Q=C22
extensionφ:Q→Aut NdρLabelID
C32⋊C22 = C32⋊C22φ: C22/C1C22 ⊆ Aut C32324+C32:C2^2128,995
C322C22 = C2×D32φ: C22/C2C2 ⊆ Aut C3264C32:2C2^2128,991
C323C22 = C2×SD64φ: C22/C2C2 ⊆ Aut C3264C32:3C2^2128,992
C324C22 = C2×M6(2)φ: C22/C2C2 ⊆ Aut C3264C32:4C2^2128,989

Non-split extensions G=N.Q with N=C32 and Q=C22
extensionφ:Q→Aut NdρLabelID
C32.C22 = Q64⋊C2φ: C22/C1C22 ⊆ Aut C32644-C32.C2^2128,996
C32.2C22 = D64φ: C22/C2C2 ⊆ Aut C32642+C32.2C2^2128,161
C32.3C22 = SD128φ: C22/C2C2 ⊆ Aut C32642C32.3C2^2128,162
C32.4C22 = Q128φ: C22/C2C2 ⊆ Aut C321282-C32.4C2^2128,163
C32.5C22 = C2×Q64φ: C22/C2C2 ⊆ Aut C32128C32.5C2^2128,993
C32.6C22 = C4○D32φ: C22/C2C2 ⊆ Aut C32642C32.6C2^2128,994
C32.7C22 = D4○C32φ: C22/C2C2 ⊆ Aut C32642C32.7C2^2128,990
C32.8C22 = M7(2)central extension (φ=1)642C32.8C2^2128,160

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