Extensions 1→N→G→Q→1 with N=C₃³⋊₅C₄ and Q=C₄

Direct product G=N×Q with N=C₃³⋊₅C₄ and Q=C₄

		d	ρ	Label	ID
C₄×C₃³⋊₅C₄		432		C4xC3^3:5C4	432,503

Semidirect products G=N:Q with N=C₃³⋊₅C₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₃³⋊₅C₄⋊₁C₄ = Dic₃×C₃²⋊C₄	φ: C₄/C₁ → C₄ ⊆ Out C₃³⋊₅C₄	48	8-	C3^3:5C4:1C4	432,567
C₃³⋊₅C₄⋊₂C₄ = C₃³⋊(C₄⋊C₄)	φ: C₄/C₁ → C₄ ⊆ Out C₃³⋊₅C₄	48	8-	C3^3:5C4:2C4	432,569
C₃³⋊₅C₄⋊₃C₄ = Dic₃×C₃⋊Dic₃	φ: C₄/C₂ → C₂ ⊆ Out C₃³⋊₅C₄	144		C3^3:5C4:3C4	432,448
C₃³⋊₅C₄⋊₄C₄ = C₆².₈₁D₆	φ: C₄/C₂ → C₂ ⊆ Out C₃³⋊₅C₄	144		C3^3:5C4:4C4	432,453
C₃³⋊₅C₄⋊₅C₄ = C₆².₁₄₆D₆	φ: C₄/C₂ → C₂ ⊆ Out C₃³⋊₅C₄	432		C3^3:5C4:5C4	432,504

Non-split extensions G=N.Q with N=C₃³⋊₅C₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₃³⋊₅C₄.₁C₄ = S₃×C₃²⋊₂C₈	φ: C₄/C₁ → C₄ ⊆ Out C₃³⋊₅C₄	48	8-	C3^3:5C4.1C4	432,570
C₃³⋊₅C₄.₂C₄ = C₃³⋊M₄(2)	φ: C₄/C₁ → C₄ ⊆ Out C₃³⋊₅C₄	48	8-	C3^3:5C4.2C4	432,572
C₃³⋊₅C₄.₃C₄ = C₁₂.₆₉S₃²	φ: C₄/C₂ → C₂ ⊆ Out C₃³⋊₅C₄	72		C3^3:5C4.3C4	432,432
C₃³⋊₅C₄.₄C₄ = C₃³⋊₉M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₃³⋊₅C₄	72		C3^3:5C4.4C4	432,435
C₃³⋊₅C₄.₅C₄ = C₃³⋊₁₅M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₃³⋊₅C₄	216		C3^3:5C4.5C4	432,497
C₃³⋊₅C₄.₆C₄ = C₈×C₃³⋊C₂	φ: trivial image	216		C3^3:5C4.6C4	432,496

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