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/C4 → D6 ⊆ Aut C32726C3^2:(C4.Dic3)432,77
C32⋊2(C4.Dic3) = He3⋊7M4(2)φ: C4.Dic3/C2×C4 → S3 ⊆ Aut C32726C3^2:2(C4.Dic3)432,137
C32⋊3(C4.Dic3) = He3⋊8M4(2)φ: C4.Dic3/C2×C4 → S3 ⊆ Aut C32726C3^2:3(C4.Dic3)432,185
C32⋊4(C4.Dic3) = C33⋊4M4(2)φ: C4.Dic3/C12 → C4 ⊆ Aut C32484C3^2:4(C4.Dic3)432,636
C32⋊5(C4.Dic3) = C33⋊7M4(2)φ: C4.Dic3/C12 → C22 ⊆ Aut C32144C3^2:5(C4.Dic3)432,433
C32⋊6(C4.Dic3) = C33⋊10M4(2)φ: C4.Dic3/C12 → C22 ⊆ Aut C32484C3^2:6(C4.Dic3)432,456
C32⋊7(C4.Dic3) = C33⋊12M4(2)φ: C4.Dic3/C2×C6 → C4 ⊆ Aut C32244C3^2:7(C4.Dic3)432,640
C32⋊8(C4.Dic3) = C3×D6.Dic3φ: C4.Dic3/C3⋊C8 → C2 ⊆ Aut C32484C3^2:8(C4.Dic3)432,416
C32⋊9(C4.Dic3) = C33⋊8M4(2)φ: C4.Dic3/C3⋊C8 → C2 ⊆ Aut C32144C3^2:9(C4.Dic3)432,434
C32⋊10(C4.Dic3) = C3×C12.58D6φ: C4.Dic3/C2×C12 → C2 ⊆ Aut C3272C3^2:10(C4.Dic3)432,486
C32⋊11(C4.Dic3) = C33⋊18M4(2)φ: C4.Dic3/C2×C12 → C2 ⊆ 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×C4 → S3 ⊆ Aut C32726C3^2.(C4.Dic3)432,143
C32.2(C4.Dic3) = D6.Dic9φ: C4.Dic3/C12 → C22 ⊆ Aut C321444C3^2.2(C4.Dic3)432,67
C32.3(C4.Dic3) = C3×C4.Dic9φ: C4.Dic3/C2×C12 → C2 ⊆ Aut C32722C3^2.3(C4.Dic3)432,125
C32.4(C4.Dic3) = C36.69D6φ: C4.Dic3/C2×C12 → C2 ⊆ Aut C32216C3^2.4(C4.Dic3)432,179

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁