Extensions 1→N→G→Q→1 with N=C3 and Q=C4⋊Q8

Direct product G=N×Q with N=C3 and Q=C4⋊Q8
dρLabelID
C3×C4⋊Q896C3xC4:Q896,175

Semidirect products G=N:Q with N=C3 and Q=C4⋊Q8
extensionφ:Q→Aut NdρLabelID
C3⋊1(C4⋊Q8) = C12⋊2Q8φ: C4⋊Q8/C42 → C2 ⊆ Aut C396C3:1(C4:Q8)96,76
C3⋊2(C4⋊Q8) = C12⋊Q8φ: C4⋊Q8/C4⋊C4 → C2 ⊆ Aut C396C3:2(C4:Q8)96,95
C3⋊3(C4⋊Q8) = Dic3⋊Q8φ: C4⋊Q8/C2×Q8 → C2 ⊆ Aut C396C3:3(C4:Q8)96,151


׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁