# Extensions 1→N→G→Q→1 with N=C32 and Q=C22×Dic3

Direct product G=N×Q with N=C32 and Q=C22×Dic3
dρLabelID
Dic3×C62144Dic3xC6^2432,708

Semidirect products G=N:Q with N=C32 and Q=C22×Dic3
extensionφ:Q→Aut NdρLabelID
C32⋊(C22×Dic3) = C2×C6.S32φ: C22×Dic3/C22D6 ⊆ Aut C3272C3^2:(C2^2xDic3)432,317
C322(C22×Dic3) = C22×C32⋊C12φ: C22×Dic3/C23S3 ⊆ Aut C32144C3^2:2(C2^2xDic3)432,376
C323(C22×Dic3) = C22×He33C4φ: C22×Dic3/C23S3 ⊆ Aut C32144C3^2:3(C2^2xDic3)432,398
C324(C22×Dic3) = S32×Dic3φ: C22×Dic3/Dic3C22 ⊆ Aut C32488-C3^2:4(C2^2xDic3)432,594
C325(C22×Dic3) = C22×C33⋊C4φ: C22×Dic3/C2×C6C4 ⊆ Aut C3248C3^2:5(C2^2xDic3)432,766
C326(C22×Dic3) = C2×S3×C3⋊Dic3φ: C22×Dic3/C2×C6C22 ⊆ Aut C32144C3^2:6(C2^2xDic3)432,674
C327(C22×Dic3) = C2×C339(C2×C4)φ: C22×Dic3/C2×C6C22 ⊆ Aut C3248C3^2:7(C2^2xDic3)432,692
C328(C22×Dic3) = S3×C6×Dic3φ: C22×Dic3/C2×Dic3C2 ⊆ Aut C3248C3^2:8(C2^2xDic3)432,651
C329(C22×Dic3) = C2×Dic3×C3⋊S3φ: C22×Dic3/C2×Dic3C2 ⊆ Aut C32144C3^2:9(C2^2xDic3)432,677
C3210(C22×Dic3) = C2×C6×C3⋊Dic3φ: C22×Dic3/C22×C6C2 ⊆ Aut C32144C3^2:10(C2^2xDic3)432,718
C3211(C22×Dic3) = C22×C335C4φ: C22×Dic3/C22×C6C2 ⊆ Aut C32432C3^2:11(C2^2xDic3)432,728

Non-split extensions G=N.Q with N=C32 and Q=C22×Dic3
extensionφ:Q→Aut NdρLabelID
C32.(C22×Dic3) = C22×C9⋊C12φ: C22×Dic3/C23S3 ⊆ Aut C32144C3^2.(C2^2xDic3)432,378
C32.2(C22×Dic3) = C2×S3×Dic9φ: C22×Dic3/C2×C6C22 ⊆ Aut C32144C3^2.2(C2^2xDic3)432,308
C32.3(C22×Dic3) = C2×C6×Dic9φ: C22×Dic3/C22×C6C2 ⊆ Aut C32144C3^2.3(C2^2xDic3)432,372
C32.4(C22×Dic3) = C22×C9⋊Dic3φ: C22×Dic3/C22×C6C2 ⊆ Aut C32432C3^2.4(C2^2xDic3)432,396

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