Extensions 1→N→G→Q→1 with N=Q8×C15 and Q=C3

Direct product G=N×Q with N=Q8×C15 and Q=C3
dρLabelID
Q8×C3×C15360Q8xC3xC15360,117

Semidirect products G=N:Q with N=Q8×C15 and Q=C3
extensionφ:Q→Out NdρLabelID
(Q8×C15)⋊C3 = C15×SL2(𝔽3)φ: C3/C1C3 ⊆ Out Q8×C151202(Q8xC15):C3360,89

Non-split extensions G=N.Q with N=Q8×C15 and Q=C3
extensionφ:Q→Out NdρLabelID
(Q8×C15).C3 = C5×Q8⋊C9φ: C3/C1C3 ⊆ Out Q8×C153602(Q8xC15).C3360,14
(Q8×C15).2C3 = Q8×C45φ: trivial image3602(Q8xC15).2C3360,32

׿
×
𝔽