Extensions 1→N→G→Q→1 with N=C₇₈ and Q=C₄

Direct product G=N×Q with N=C₇₈ and Q=C₄

		d	ρ	Label	ID
C₂×C₁₅₆		312		C2xC156	312,42

Semidirect products G=N:Q with N=C₇₈ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇₈⋊₁C₄ = C₂×C₃₉⋊C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₇₈	78	4	C78:1C4	312,53
C₇₈⋊₂C₄ = C₆×C₁₃⋊C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₇₈	78	4	C78:2C4	312,52
C₇₈⋊₃C₄ = C₂×Dic₃₉	φ: C₄/C₂ → C₂ ⊆ Aut C₇₈	312		C78:3C4	312,40
C₇₈⋊₄C₄ = C₆×Dic₁₃	φ: C₄/C₂ → C₂ ⊆ Aut C₇₈	312		C78:4C4	312,30
C₇₈⋊₅C₄ = Dic₃×C₂₆	φ: C₄/C₂ → C₂ ⊆ Aut C₇₈	312		C78:5C4	312,35

Non-split extensions G=N.Q with N=C₇₈ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇₈.₁C₄ = C₃₉⋊C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₇₈	312	4	C78.1C4	312,14
C₇₈.₂C₄ = C₃×C₁₃⋊C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₇₈	312	4	C78.2C4	312,13
C₇₈.₃C₄ = C₃₉⋊₃C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₇₈	312	2	C78.3C4	312,5
C₇₈.₄C₄ = C₃×C₁₃⋊₂C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₇₈	312	2	C78.4C4	312,4
C₇₈.₅C₄ = C₁₃×C₃⋊C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₇₈	312	2	C78.5C4	312,3

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