Extensions 1→N→G→Q→1 with N=C₂×He₃ and Q=C₈

Direct product G=N×Q with N=C₂×He₃ and Q=C₈

		d	ρ	Label	ID
C₂×C₈×He₃		144		C2xC8xHe3	432,210

Semidirect products G=N:Q with N=C₂×He₃ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×He₃)⋊C₈ = C₂×He₃⋊C₈	φ: C₈/C₁ → C₈ ⊆ Out C₂×He₃	54	6+	(C2xHe3):C8	432,529
(C₂×He₃)⋊₂C₈ = C₂×He₃⋊₂C₈	φ: C₈/C₂ → C₄ ⊆ Out C₂×He₃	144		(C2xHe3):2C8	432,277
(C₂×He₃)⋊₃C₈ = C₂×He₃⋊₃C₈	φ: C₈/C₄ → C₂ ⊆ Out C₂×He₃	144		(C2xHe3):3C8	432,136
(C₂×He₃)⋊₄C₈ = C₂×He₃⋊₄C₈	φ: C₈/C₄ → C₂ ⊆ Out C₂×He₃	144		(C2xHe3):4C8	432,184

Non-split extensions G=N.Q with N=C₂×He₃ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×He₃).C₈ = He₃⋊C₁₆	φ: C₈/C₁ → C₈ ⊆ Out C₂×He₃	144	6	(C2xHe3).C8	432,233
(C₂×He₃).₂C₈ = He₃⋊₂C₁₆	φ: C₈/C₂ → C₄ ⊆ Out C₂×He₃	144	3	(C2xHe3).2C8	432,57
(C₂×He₃).₃C₈ = He₃⋊₃C₁₆	φ: C₈/C₄ → C₂ ⊆ Out C₂×He₃	144	6	(C2xHe3).3C8	432,30
(C₂×He₃).₄C₈ = He₃⋊₄C₁₆	φ: C₈/C₄ → C₂ ⊆ Out C₂×He₃	144	3	(C2xHe3).4C8	432,33
(C₂×He₃).₅C₈ = C₁₆×He₃	φ: trivial image	144	3	(C2xHe3).5C8	432,35

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