Extensions 1→N→G→Q→1 with N=C13 and Q=C2×C12

Direct product G=N×Q with N=C13 and Q=C2×C12
dρLabelID
C2×C156312C2xC156312,42

Semidirect products G=N:Q with N=C13 and Q=C2×C12
extensionφ:Q→Aut NdρLabelID
C13⋊(C2×C12) = C2×F13φ: C2×C12/C2 → C12 ⊆ Aut C132612+C13:(C2xC12)312,45
C13⋊2(C2×C12) = C4×C13⋊C6φ: C2×C12/C4 → C6 ⊆ Aut C13526C13:2(C2xC12)312,9
C13⋊3(C2×C12) = C2×C26.C6φ: C2×C12/C22 → C6 ⊆ Aut C13104C13:3(C2xC12)312,11
C13⋊4(C2×C12) = C6×C13⋊C4φ: C2×C12/C6 → C4 ⊆ Aut C13784C13:4(C2xC12)312,52
C13⋊5(C2×C12) = C2×C4×C13⋊C3φ: C2×C12/C2×C4 → C3 ⊆ Aut C13104C13:5(C2xC12)312,22
C13⋊6(C2×C12) = C12×D13φ: C2×C12/C12 → C2 ⊆ Aut C131562C13:6(C2xC12)312,28
C13⋊7(C2×C12) = C6×Dic13φ: C2×C12/C2×C6 → C2 ⊆ Aut C13312C13:7(C2xC12)312,30


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