Extensions 1→N→G→Q→1 with N=C₃³⋊₇C₈ and Q=C₂

Direct product G=N×Q with N=C₃³⋊₇C₈ and Q=C₂

		d	ρ	Label	ID
C₂×C₃³⋊₇C₈		432		C2xC3^3:7C8	432,501

Semidirect products G=N:Q with N=C₃³⋊₇C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₃³⋊₇C₈⋊₁C₂ = C₃³⋊₆D₈	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₇C₈	144		C3^3:7C8:1C2	432,436
C₃³⋊₇C₈⋊₂C₂ = C₃³⋊₁₂SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₇C₈	144		C3^3:7C8:2C2	432,439
C₃³⋊₇C₈⋊₃C₂ = C₃³⋊₁₃SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₇C₈	144		C3^3:7C8:3C2	432,440
C₃³⋊₇C₈⋊₄C₂ = C₃³⋊₁₅D₈	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₇C₈	216		C3^3:7C8:4C2	432,507
C₃³⋊₇C₈⋊₅C₂ = C₃³⋊₂₄SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₇C₈	216		C3^3:7C8:5C2	432,508
C₃³⋊₇C₈⋊₆C₂ = C₃³⋊₂₇SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₇C₈	216		C3^3:7C8:6C2	432,509
C₃³⋊₇C₈⋊₇C₂ = S₃×C₃²⋊₄C₈	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₇C₈	144		C3^3:7C8:7C2	432,430
C₃³⋊₇C₈⋊₈C₂ = C₃⋊S₃×C₃⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₇C₈	144		C3^3:7C8:8C2	432,431
C₃³⋊₇C₈⋊₉C₂ = C₃³⋊₇M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₇C₈	144		C3^3:7C8:9C2	432,433
C₃³⋊₇C₈⋊₁₀C₂ = C₃³⋊₈M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₇C₈	144		C3^3:7C8:10C2	432,434
C₃³⋊₇C₈⋊₁₁C₂ = C₃³⋊₁₅M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₇C₈	216		C3^3:7C8:11C2	432,497
C₃³⋊₇C₈⋊₁₂C₂ = C₃³⋊₁₈M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₇C₈	216		C3^3:7C8:12C2	432,502
C₃³⋊₇C₈⋊₁₃C₂ = C₈×C₃³⋊C₂	φ: trivial image	216		C3^3:7C8:13C2	432,496

Non-split extensions G=N.Q with N=C₃³⋊₇C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₃³⋊₇C₈.₁C₂ = C₃³⋊₆Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₇C₈	144		C3^3:7C8.1C2	432,445
C₃³⋊₇C₈.₂C₂ = C₃³⋊₁₅Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₇C₈	432		C3^3:7C8.2C2	432,510

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