# Extensions 1→N→G→Q→1 with N=C32 and Q=C42.C2

Direct product G=N×Q with N=C32 and Q=C42.C2
dρLabelID
C32×C42.C2288C3^2xC4^2.C2288,822

Semidirect products G=N:Q with N=C32 and Q=C42.C2
extensionφ:Q→Aut NdρLabelID
C32⋊(C42.C2) = C4.3PSU3(𝔽2)φ: C42.C2/C4Q8 ⊆ Aut C32488C3^2:(C4^2.C2)288,891
C322(C42.C2) = Dic3.Dic6φ: C42.C2/C2×C4C22 ⊆ Aut C3296C3^2:2(C4^2.C2)288,493
C323(C42.C2) = C62.16C23φ: C42.C2/C2×C4C22 ⊆ Aut C3296C3^2:3(C4^2.C2)288,494
C324(C42.C2) = C62.17C23φ: C42.C2/C2×C4C22 ⊆ Aut C3296C3^2:4(C4^2.C2)288,495
C325(C42.C2) = C62.37C23φ: C42.C2/C2×C4C22 ⊆ Aut C3296C3^2:5(C4^2.C2)288,515
C326(C42.C2) = C62.39C23φ: C42.C2/C2×C4C22 ⊆ Aut C3296C3^2:6(C4^2.C2)288,517
C327(C42.C2) = C62.40C23φ: C42.C2/C2×C4C22 ⊆ Aut C3296C3^2:7(C4^2.C2)288,518
C328(C42.C2) = C62.42C23φ: C42.C2/C2×C4C22 ⊆ Aut C3296C3^2:8(C4^2.C2)288,520
C329(C42.C2) = C3×C12.6Q8φ: C42.C2/C42C2 ⊆ Aut C3296C3^2:9(C4^2.C2)288,641
C3210(C42.C2) = C12.25Dic6φ: C42.C2/C42C2 ⊆ Aut C32288C3^2:10(C4^2.C2)288,727
C3211(C42.C2) = C3×Dic3.Q8φ: C42.C2/C4⋊C4C2 ⊆ Aut C3296C3^2:11(C4^2.C2)288,660
C3212(C42.C2) = C3×C4.Dic6φ: C42.C2/C4⋊C4C2 ⊆ Aut C3296C3^2:12(C4^2.C2)288,661
C3213(C42.C2) = C62.233C23φ: C42.C2/C4⋊C4C2 ⊆ Aut C32288C3^2:13(C4^2.C2)288,746
C3214(C42.C2) = C62.234C23φ: C42.C2/C4⋊C4C2 ⊆ Aut C32288C3^2:14(C4^2.C2)288,747

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