Extensions 1→N→G→Q→1 with N=C₈ and Q=C₆²

Direct product G=N×Q with N=C₈ and Q=C₆²

		d	ρ	Label	ID
C₂×C₆×C₂₄		288		C2xC6xC24	288,826

Semidirect products G=N:Q with N=C₈ and Q=C₆²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈⋊C₆² = C₃²×C₈⋊C₂²	φ: C₆²/C₃² → C₂² ⊆ Aut C₈	72		C8:C6^2	288,833
C₈⋊₂C₆² = D₈×C₃×C₆	φ: C₆²/C₃×C₆ → C₂ ⊆ Aut C₈	144		C8:2C6^2	288,829
C₈⋊₃C₆² = SD₁₆×C₃×C₆	φ: C₆²/C₃×C₆ → C₂ ⊆ Aut C₈	144		C8:3C6^2	288,830
C₈⋊₄C₆² = M₄(2)×C₃×C₆	φ: C₆²/C₃×C₆ → C₂ ⊆ Aut C₈	144		C8:4C6^2	288,827

Non-split extensions G=N.Q with N=C₈ and Q=C₆²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.C₆² = C₃²×C₈.C₂²	φ: C₆²/C₃² → C₂² ⊆ Aut C₈	144		C8.C6^2	288,834
C₈.₂C₆² = C₃²×D₁₆	φ: C₆²/C₃×C₆ → C₂ ⊆ Aut C₈	144		C8.2C6^2	288,329
C₈.₃C₆² = C₃²×SD₃₂	φ: C₆²/C₃×C₆ → C₂ ⊆ Aut C₈	144		C8.3C6^2	288,330
C₈.₄C₆² = C₃²×Q₃₂	φ: C₆²/C₃×C₆ → C₂ ⊆ Aut C₈	288		C8.4C6^2	288,331
C₈.₅C₆² = Q₁₆×C₃×C₆	φ: C₆²/C₃×C₆ → C₂ ⊆ Aut C₈	288		C8.5C6^2	288,831
C₈.₆C₆² = C₃²×C₄○D₈	φ: C₆²/C₃×C₆ → C₂ ⊆ Aut C₈	144		C8.6C6^2	288,832
C₈.₇C₆² = C₃²×C₈○D₄	φ: C₆²/C₃×C₆ → C₂ ⊆ Aut C₈	144		C8.7C6^2	288,828
C₈.₈C₆² = C₃²×M₅(2)	central extension (φ=1)	144		C8.8C6^2	288,328

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