Extensions 1→N→G→Q→1 with N=C₄₈ and Q=C₆

Direct product G=N×Q with N=C₄₈ and Q=C₆

		d	ρ	Label	ID
C₆×C₄₈		288		C6xC48	288,327

Semidirect products G=N:Q with N=C₄₈ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄₈⋊₁C₆ = C₃×D₄₈	φ: C₆/C₃ → C₂ ⊆ Aut C₄₈	96	2	C48:1C6	288,233
C₄₈⋊₂C₆ = C₃×C₄₈⋊C₂	φ: C₆/C₃ → C₂ ⊆ Aut C₄₈	96	2	C48:2C6	288,234
C₄₈⋊₃C₆ = C₃²×D₁₆	φ: C₆/C₃ → C₂ ⊆ Aut C₄₈	144		C48:3C6	288,329
C₄₈⋊₄C₆ = C₃²×SD₃₂	φ: C₆/C₃ → C₂ ⊆ Aut C₄₈	144		C48:4C6	288,330
C₄₈⋊₅C₆ = S₃×C₄₈	φ: C₆/C₃ → C₂ ⊆ Aut C₄₈	96	2	C48:5C6	288,231
C₄₈⋊₆C₆ = C₃×D₆.C₈	φ: C₆/C₃ → C₂ ⊆ Aut C₄₈	96	2	C48:6C6	288,232
C₄₈⋊₇C₆ = C₃²×M₅(2)	φ: C₆/C₃ → C₂ ⊆ Aut C₄₈	144		C48:7C6	288,328

Non-split extensions G=N.Q with N=C₄₈ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄₈.₁C₆ = C₃×Dic₂₄	φ: C₆/C₃ → C₂ ⊆ Aut C₄₈	96	2	C48.1C6	288,235
C₄₈.₂C₆ = C₉×D₁₆	φ: C₆/C₃ → C₂ ⊆ Aut C₄₈	144	2	C48.2C6	288,61
C₄₈.₃C₆ = C₉×Q₃₂	φ: C₆/C₃ → C₂ ⊆ Aut C₄₈	288	2	C48.3C6	288,63
C₄₈.₄C₆ = C₃²×Q₃₂	φ: C₆/C₃ → C₂ ⊆ Aut C₄₈	288		C48.4C6	288,331
C₄₈.₅C₆ = C₉×SD₃₂	φ: C₆/C₃ → C₂ ⊆ Aut C₄₈	144	2	C48.5C6	288,62
C₄₈.₆C₆ = C₃×C₃⋊C₃₂	φ: C₆/C₃ → C₂ ⊆ Aut C₄₈	96	2	C48.6C6	288,64
C₄₈.₇C₆ = C₉×M₅(2)	φ: C₆/C₃ → C₂ ⊆ Aut C₄₈	144	2	C48.7C6	288,60

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