Extensions 1→N→G→Q→1 with N=C₂² and Q=C₇₂

Direct product G=N×Q with N=C₂² and Q=C₇₂

		d	ρ	Label	ID
C₂²×C₇₂		288		C2^2xC72	288,179

Semidirect products G=N:Q with N=C₂² and Q=C₇₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊C₇₂ = C₈×C₃.A₄	φ: C₇₂/C₂₄ → C₃ ⊆ Aut C₂²	72	3	C2^2:C72	288,76
C₂²⋊₂C₇₂ = C₉×C₂²⋊C₈	φ: C₇₂/C₃₆ → C₂ ⊆ Aut C₂²	144		C2^2:2C72	288,48

Non-split extensions G=N.Q with N=C₂² and Q=C₇₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².C₇₂ = C₉×M₅(2)	φ: C₇₂/C₃₆ → C₂ ⊆ Aut C₂²	144	2	C2^2.C72	288,60

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Extensions 1→N→G→Q→1 with N=C22 and Q=C72