Extensions 1→N→G→Q→1 with N=C32 and Q=C4.Dic3

Direct product G=N×Q with N=C32 and Q=C4.Dic3
dρLabelID
C32×C4.Dic372C3^2xC4.Dic3432,470

Semidirect products G=N:Q with N=C32 and Q=C4.Dic3
extensionφ:Q→Aut NdρLabelID
C32⋊(C4.Dic3) = He3⋊M4(2)φ: C4.Dic3/C4D6 ⊆ Aut C32726C3^2:(C4.Dic3)432,77
C322(C4.Dic3) = He37M4(2)φ: C4.Dic3/C2×C4S3 ⊆ Aut C32726C3^2:2(C4.Dic3)432,137
C323(C4.Dic3) = He38M4(2)φ: C4.Dic3/C2×C4S3 ⊆ Aut C32726C3^2:3(C4.Dic3)432,185
C324(C4.Dic3) = C334M4(2)φ: C4.Dic3/C12C4 ⊆ Aut C32484C3^2:4(C4.Dic3)432,636
C325(C4.Dic3) = C337M4(2)φ: C4.Dic3/C12C22 ⊆ Aut C32144C3^2:5(C4.Dic3)432,433
C326(C4.Dic3) = C3310M4(2)φ: C4.Dic3/C12C22 ⊆ Aut C32484C3^2:6(C4.Dic3)432,456
C327(C4.Dic3) = C3312M4(2)φ: C4.Dic3/C2×C6C4 ⊆ Aut C32244C3^2:7(C4.Dic3)432,640
C328(C4.Dic3) = C3×D6.Dic3φ: C4.Dic3/C3⋊C8C2 ⊆ Aut C32484C3^2:8(C4.Dic3)432,416
C329(C4.Dic3) = C338M4(2)φ: C4.Dic3/C3⋊C8C2 ⊆ Aut C32144C3^2:9(C4.Dic3)432,434
C3210(C4.Dic3) = C3×C12.58D6φ: C4.Dic3/C2×C12C2 ⊆ Aut C3272C3^2:10(C4.Dic3)432,486
C3211(C4.Dic3) = C3318M4(2)φ: C4.Dic3/C2×C12C2 ⊆ Aut C32216C3^2:11(C4.Dic3)432,502

Non-split extensions G=N.Q with N=C32 and Q=C4.Dic3
extensionφ:Q→Aut NdρLabelID
C32.(C4.Dic3) = C36.C12φ: C4.Dic3/C2×C4S3 ⊆ Aut C32726C3^2.(C4.Dic3)432,143
C32.2(C4.Dic3) = D6.Dic9φ: C4.Dic3/C12C22 ⊆ Aut C321444C3^2.2(C4.Dic3)432,67
C32.3(C4.Dic3) = C3×C4.Dic9φ: C4.Dic3/C2×C12C2 ⊆ Aut C32722C3^2.3(C4.Dic3)432,125
C32.4(C4.Dic3) = C36.69D6φ: C4.Dic3/C2×C12C2 ⊆ Aut C32216C3^2.4(C4.Dic3)432,179

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