Extensions 1→N→G→Q→1 with N=C9×C4⋊C4 and Q=C3

Direct product G=N×Q with N=C9×C4⋊C4 and Q=C3
dρLabelID
C4⋊C4×C3×C9432C4:C4xC3xC9432,206

Semidirect products G=N:Q with N=C9×C4⋊C4 and Q=C3
extensionφ:Q→Out NdρLabelID
(C9×C4⋊C4)⋊C3 = C4⋊C4×3- 1+2φ: C3/C1C3 ⊆ Out C9×C4⋊C4144(C9xC4:C4):C3432,208

Non-split extensions G=N.Q with N=C9×C4⋊C4 and Q=C3
extensionφ:Q→Out NdρLabelID
(C9×C4⋊C4).C3 = C4⋊C4×C27φ: trivial image432(C9xC4:C4).C3432,22

׿
×
𝔽