Extensions 1→N→G→Q→1 with N=C32 and Q=C2×C6

Direct product G=N×Q with N=C32 and Q=C2×C6
dρLabelID
C3×C62108C3xC6^2108,45

Semidirect products G=N:Q with N=C32 and Q=C2×C6
extensionφ:Q→Aut NdρLabelID
C32⋊(C2×C6) = C2×C32⋊C6φ: C2×C6/C2 → C6 ⊆ Aut C32186+C3^2:(C2xC6)108,25
C32⋊2(C2×C6) = C3×S32φ: C2×C6/C3 → C22 ⊆ Aut C32124C3^2:2(C2xC6)108,38
C32⋊3(C2×C6) = C22×He3φ: C2×C6/C22 → C3 ⊆ Aut C3236C3^2:3(C2xC6)108,30
C32⋊4(C2×C6) = S3×C3×C6φ: C2×C6/C6 → C2 ⊆ Aut C3236C3^2:4(C2xC6)108,42
C32⋊5(C2×C6) = C6×C3⋊S3φ: C2×C6/C6 → C2 ⊆ Aut C3236C3^2:5(C2xC6)108,43

Non-split extensions G=N.Q with N=C32 and Q=C2×C6
extensionφ:Q→Aut NdρLabelID
C32.(C2×C6) = C22×3- 1+2φ: C2×C6/C22 → C3 ⊆ Aut C3236C3^2.(C2xC6)108,31
C32.2(C2×C6) = S3×C18φ: C2×C6/C6 → C2 ⊆ Aut C32362C3^2.2(C2xC6)108,24

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁