Extensions 1→N→G→Q→1 with N=C3 and Q=C3⋊Q16

Direct product G=N×Q with N=C3 and Q=C3⋊Q16
dρLabelID
C3×C3⋊Q16484C3xC3:Q16144,83

Semidirect products G=N:Q with N=C3 and Q=C3⋊Q16
extensionφ:Q→Aut NdρLabelID
C3⋊1(C3⋊Q16) = C32⋊3Q16φ: C3⋊Q16/C3⋊C8 → C2 ⊆ Aut C3484-C3:1(C3:Q16)144,62
C3⋊2(C3⋊Q16) = C32⋊2Q16φ: C3⋊Q16/Dic6 → C2 ⊆ Aut C3484C3:2(C3:Q16)144,61
C3⋊3(C3⋊Q16) = C32⋊7Q16φ: C3⋊Q16/C3×Q8 → C2 ⊆ Aut C3144C3:3(C3:Q16)144,99

Non-split extensions G=N.Q with N=C3 and Q=C3⋊Q16
extensionφ:Q→Aut NdρLabelID
C3.(C3⋊Q16) = C9⋊Q16φ: C3⋊Q16/C3×Q8 → C2 ⊆ Aut C31444-C3.(C3:Q16)144,17

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁