Extensions 1→N→G→Q→1 with N=C32 and Q=C2×D8

Direct product G=N×Q with N=C32 and Q=C2×D8
dρLabelID
D8×C3×C6144D8xC3xC6288,829

Semidirect products G=N:Q with N=C32 and Q=C2×D8
extensionφ:Q→Aut NdρLabelID
C321(C2×D8) = C3⋊S3⋊D8φ: C2×D8/C4D4 ⊆ Aut C32248+C3^2:1(C2xD8)288,873
C322(C2×D8) = C2×C32⋊D8φ: C2×D8/C22D4 ⊆ Aut C3248C3^2:2(C2xD8)288,883
C323(C2×D8) = S3×D24φ: C2×D8/C8C22 ⊆ Aut C32484+C3^2:3(C2xD8)288,441
C324(C2×D8) = C244D6φ: C2×D8/C8C22 ⊆ Aut C32484C3^2:4(C2xD8)288,445
C325(C2×D8) = C2×C322D8φ: C2×D8/C2×C4C22 ⊆ Aut C3296C3^2:5(C2xD8)288,469
C326(C2×D8) = C2×C3⋊D24φ: C2×D8/C2×C4C22 ⊆ Aut C3248C3^2:6(C2xD8)288,472
C327(C2×D8) = S3×D4⋊S3φ: C2×D8/D4C22 ⊆ Aut C32488+C3^2:7(C2xD8)288,572
C328(C2×D8) = D12⋊D6φ: C2×D8/D4C22 ⊆ Aut C32248+C3^2:8(C2xD8)288,574
C329(C2×D8) = C6×D24φ: C2×D8/C2×C8C2 ⊆ Aut C3296C3^2:9(C2xD8)288,674
C3210(C2×D8) = C2×C325D8φ: C2×D8/C2×C8C2 ⊆ Aut C32144C3^2:10(C2xD8)288,760
C3211(C2×D8) = C3×S3×D8φ: C2×D8/D8C2 ⊆ Aut C32484C3^2:11(C2xD8)288,681
C3212(C2×D8) = D8×C3⋊S3φ: C2×D8/D8C2 ⊆ Aut C3272C3^2:12(C2xD8)288,767
C3213(C2×D8) = C6×D4⋊S3φ: C2×D8/C2×D4C2 ⊆ Aut C3248C3^2:13(C2xD8)288,702
C3214(C2×D8) = C2×C327D8φ: C2×D8/C2×D4C2 ⊆ Aut C32144C3^2:14(C2xD8)288,788


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