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

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

Semidirect products G=N:Q with N=C3×Q8 and Q=C15
extensionφ:Q→Out NdρLabelID
(C3×Q8)⋊C15 = C15×SL2(𝔽3)φ: C15/C5C3 ⊆ Out C3×Q81202(C3xQ8):C15360,89

Non-split extensions G=N.Q with N=C3×Q8 and Q=C15
extensionφ:Q→Out NdρLabelID
(C3×Q8).C15 = C5×Q8⋊C9φ: C15/C5C3 ⊆ Out C3×Q83602(C3xQ8).C15360,14
(C3×Q8).2C15 = Q8×C45φ: trivial image3602(C3xQ8).2C15360,32

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