Extensions 1→N→G→Q→1 with N=C₁₁₄ and Q=C₂²

Direct product G=N×Q with N=C₁₁₄ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₁₁₄		456		C2^2xC114	456,54

Semidirect products G=N:Q with N=C₁₁₄ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₁₄⋊C₂² = C₂×S₃×D₁₉	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₁₄	114	4+	C114:C2^2	456,47
C₁₁₄⋊₂C₂² = C₂²×D₅₇	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₁₄	228		C114:2C2^2	456,53
C₁₁₄⋊₃C₂² = C₂×C₆×D₁₉	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₁₄	228		C114:3C2^2	456,51
C₁₁₄⋊₄C₂² = S₃×C₂×C₃₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₁₄	228		C114:4C2^2	456,52

Non-split extensions G=N.Q with N=C₁₁₄ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₁₄.₁C₂² = Dic₃×D₁₉	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₁₄	228	4-	C114.1C2^2	456,12
C₁₁₄.₂C₂² = S₃×Dic₁₉	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₁₄	228	4-	C114.2C2^2	456,13
C₁₁₄.₃C₂² = D₅₇⋊C₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₁₄	228	4+	C114.3C2^2	456,14
C₁₁₄.₄C₂² = C₅₇⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₁₄	228	4-	C114.4C2^2	456,15
C₁₁₄.₅C₂² = C₃⋊D₇₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₁₄	228	4+	C114.5C2^2	456,16
C₁₁₄.₆C₂² = C₁₉⋊D₁₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₁₄	228	4+	C114.6C2^2	456,17
C₁₁₄.₇C₂² = C₅₇⋊Q₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₁₄	456	4-	C114.7C2^2	456,18
C₁₁₄.₈C₂² = Dic₁₁₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₁₄	456	2-	C114.8C2^2	456,34
C₁₁₄.₉C₂² = C₄×D₅₇	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₁₄	228	2	C114.9C2^2	456,35
C₁₁₄.₁₀C₂² = D₂₂₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₁₄	228	2+	C114.10C2^2	456,36
C₁₁₄.₁₁C₂² = C₂×Dic₅₇	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₁₄	456		C114.11C2^2	456,37
C₁₁₄.₁₂C₂² = C₅₇⋊₇D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₁₄	228	2	C114.12C2^2	456,38
C₁₁₄.₁₃C₂² = C₃×Dic₃₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₁₄	456	2	C114.13C2^2	456,24
C₁₁₄.₁₄C₂² = C₁₂×D₁₉	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₁₄	228	2	C114.14C2^2	456,25
C₁₁₄.₁₅C₂² = C₃×D₇₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₁₄	228	2	C114.15C2^2	456,26
C₁₁₄.₁₆C₂² = C₆×Dic₁₉	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₁₄	456		C114.16C2^2	456,27
C₁₁₄.₁₇C₂² = C₃×C₁₉⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₁₄	228	2	C114.17C2^2	456,28
C₁₁₄.₁₈C₂² = C₁₉×Dic₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₁₄	456	2	C114.18C2^2	456,29
C₁₁₄.₁₉C₂² = S₃×C₇₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₁₄	228	2	C114.19C2^2	456,30
C₁₁₄.₂₀C₂² = C₁₉×D₁₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₁₄	228	2	C114.20C2^2	456,31
C₁₁₄.₂₁C₂² = Dic₃×C₃₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₁₄	456		C114.21C2^2	456,32
C₁₁₄.₂₂C₂² = C₁₉×C₃⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₁₄	228	2	C114.22C2^2	456,33
C₁₁₄.₂₃C₂² = D₄×C₅₇	central extension (φ=1)	228	2	C114.23C2^2	456,40
C₁₁₄.₂₄C₂² = Q₈×C₅₇	central extension (φ=1)	456	2	C114.24C2^2	456,41

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Extensions 1→N→G→Q→1 with N=C114 and Q=C22

Extensions 1→N→G→Q→1 with N=C₁₁₄ and Q=C₂²