Extensions 1→N→G→Q→1 with N=C32 and Q=C6×Q8

Direct product G=N×Q with N=C32 and Q=C6×Q8
dρLabelID
Q8×C32×C6432Q8xC3^2xC6432,732

Semidirect products G=N:Q with N=C32 and Q=C6×Q8
extensionφ:Q→Aut NdρLabelID
C32⋊(C6×Q8) = C6×PSU3(𝔽2)φ: C6×Q8/C6Q8 ⊆ Aut C32488C3^2:(C6xQ8)432,757
C322(C6×Q8) = C2×He33Q8φ: C6×Q8/C2×C4C6 ⊆ Aut C32144C3^2:2(C6xQ8)432,348
C323(C6×Q8) = Q8×C32⋊C6φ: C6×Q8/Q8C6 ⊆ Aut C327212-C3^2:3(C6xQ8)432,368
C324(C6×Q8) = C3×S3×Dic6φ: C6×Q8/C12C22 ⊆ Aut C32484C3^2:4(C6xQ8)432,642
C325(C6×Q8) = C3×Dic3.D6φ: C6×Q8/C12C22 ⊆ Aut C32484C3^2:5(C6xQ8)432,645
C326(C6×Q8) = C6×C322Q8φ: C6×Q8/C2×C6C22 ⊆ Aut C3248C3^2:6(C6xQ8)432,657
C327(C6×Q8) = C2×Q8×He3φ: C6×Q8/C2×Q8C3 ⊆ Aut C32144C3^2:7(C6xQ8)432,407
C328(C6×Q8) = C3×C6×Dic6φ: C6×Q8/C2×C12C2 ⊆ Aut C32144C3^2:8(C6xQ8)432,700
C329(C6×Q8) = C6×C324Q8φ: C6×Q8/C2×C12C2 ⊆ Aut C32144C3^2:9(C6xQ8)432,710
C3210(C6×Q8) = S3×Q8×C32φ: C6×Q8/C3×Q8C2 ⊆ Aut C32144C3^2:10(C6xQ8)432,706
C3211(C6×Q8) = C3×Q8×C3⋊S3φ: C6×Q8/C3×Q8C2 ⊆ Aut C32144C3^2:11(C6xQ8)432,716

Non-split extensions G=N.Q with N=C32 and Q=C6×Q8
extensionφ:Q→Aut NdρLabelID
C32.(C6×Q8) = C2×Q8×3- 1+2φ: C6×Q8/C2×Q8C3 ⊆ Aut C32144C3^2.(C6xQ8)432,408
C32.2(C6×Q8) = C18×Dic6φ: C6×Q8/C2×C12C2 ⊆ Aut C32144C3^2.2(C6xQ8)432,341
C32.3(C6×Q8) = S3×Q8×C9φ: C6×Q8/C3×Q8C2 ⊆ Aut C321444C3^2.3(C6xQ8)432,366
C32.4(C6×Q8) = Q8×C3×C18central extension (φ=1)432C3^2.4(C6xQ8)432,406

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