Extensions 1→N→G→Q→1 with N=C₁₁₂ and Q=C₂²

Direct product G=NxQ with N=C₁₁₂ and Q=C₂²

		d	ρ	Label	ID
C₂²xC₁₁₂		448		C2^2xC112	448,910

Semidirect products G=N:Q with N=C₁₁₂ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₁₂:₁C₂² = C₁₆:D₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₁₂	112	4+	C112:1C2^2	448,442
C₁₁₂:₂C₂² = D₇xD₁₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₁₂	112	4+	C112:2C2^2	448,444
C₁₁₂:₃C₂² = D₁₁₂:C₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₁₂	112	4+	C112:3C2^2	448,448
C₁₁₂:₄C₂² = D₈:D₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₁₂	112	4	C112:4C2^2	448,445
C₁₁₂:₅C₂² = D₇xSD₃₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₁₂	112	4	C112:5C2^2	448,447
C₁₁₂:₆C₂² = C₇xC₁₆:C₂²	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₁₂	112	4	C112:6C2^2	448,917
C₁₁₂:₇C₂² = D₇xM₅(2)	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₁₂	112	4	C112:7C2^2	448,440
C₁₁₂:₈C₂² = C₂xD₁₁₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₁₂	224		C112:8C2^2	448,436
C₁₁₂:₉C₂² = C₂xC₁₁₂:C₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₁₂	224		C112:9C2^2	448,437
C₁₁₂:₁₀C₂² = C₁₄xD₁₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₁₂	224		C112:10C2^2	448,913
C₁₁₂:₁₁C₂² = D₇xC₂xC₁₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₁₂	224		C112:11C2^2	448,433
C₁₁₂:₁₂C₂² = C₂xC₁₆:D₇	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₁₂	224		C112:12C2^2	448,434
C₁₁₂:₁₃C₂² = C₁₄xSD₃₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₁₂	224		C112:13C2^2	448,914
C₁₁₂:₁₄C₂² = C₁₄xM₅(2)	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₁₂	224		C112:14C2^2	448,911

Non-split extensions G=N.Q with N=C₁₁₂ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₁₂.₁C₂² = C₁₆.D₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₁₂	224	4-	C112.1C2^2	448,443
C₁₁₂.₂C₂² = C₇:D₃₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₁₂	224	4+	C112.2C2^2	448,76
C₁₁₂.₃C₂² = D₁₆.D₇	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₁₂	224	4-	C112.3C2^2	448,77
C₁₁₂.₄C₂² = C₇:SD₆₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₁₂	224	4+	C112.4C2^2	448,78
C₁₁₂.₅C₂² = C₇:Q₆₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₁₂	448	4-	C112.5C2^2	448,79
C₁₁₂.₆C₂² = D₁₆:₃D₇	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₁₂	224	4-	C112.6C2^2	448,446
C₁₁₂.₇C₂² = D₇xQ₃₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₁₂	224	4-	C112.7C2^2	448,451
C₁₁₂.₈C₂² = Q₃₂:₃D₇	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₁₂	224	4+	C112.8C2^2	448,453
C₁₁₂.₉C₂² = SD₃₂:D₇	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₁₂	224	4-	C112.9C2^2	448,449
C₁₁₂.₁₀C₂² = Q₃₂:D₇	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₁₂	224	4	C112.10C2^2	448,452
C₁₁₂.₁₁C₂² = SD₃₂:₃D₇	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₁₂	224	4	C112.11C2^2	448,450
C₁₁₂.₁₂C₂² = C₇xQ₃₂:C₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₁₂	224	4	C112.12C2^2	448,918
C₁₁₂.₁₃C₂² = C₁₆.₁₂D₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₁₂	224	4	C112.13C2^2	448,441
C₁₁₂.₁₄C₂² = D₂₂₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₁₂	224	2+	C112.14C2^2	448,5
C₁₁₂.₁₅C₂² = C₂₂₄:C₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₁₂	224	2	C112.15C2^2	448,6
C₁₁₂.₁₆C₂² = Dic₁₁₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₁₂	448	2-	C112.16C2^2	448,7
C₁₁₂.₁₇C₂² = C₂xDic₅₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₁₂	448		C112.17C2^2	448,439
C₁₁₂.₁₈C₂² = D₁₁₂:₇C₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₁₂	224	2	C112.18C2^2	448,438
C₁₁₂.₁₉C₂² = C₇xD₃₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₁₂	224	2	C112.19C2^2	448,175
C₁₁₂.₂₀C₂² = C₇xSD₆₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₁₂	224	2	C112.20C2^2	448,176
C₁₁₂.₂₁C₂² = C₇xQ₆₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₁₂	448	2	C112.21C2^2	448,177
C₁₁₂.₂₂C₂² = C₁₄xQ₃₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₁₂	448		C112.22C2^2	448,915
C₁₁₂.₂₃C₂² = C₇xC₄oD₁₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₁₂	224	2	C112.23C2^2	448,916
C₁₁₂.₂₄C₂² = D₇xC₃₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₁₂	224	2	C112.24C2^2	448,3
C₁₁₂.₂₅C₂² = C₃₂:D₇	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₁₂	224	2	C112.25C2^2	448,4
C₁₁₂.₂₆C₂² = C₂xC₇:C₃₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₁₂	448		C112.26C2^2	448,55
C₁₁₂.₂₇C₂² = C₇:M₆(2)	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₁₂	224	2	C112.27C2^2	448,56
C₁₁₂.₂₈C₂² = D₂₈.₄C₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₁₂	224	2	C112.28C2^2	448,435
C₁₁₂.₂₉C₂² = C₇xD₄oC₁₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₁₂	224	2	C112.29C2^2	448,912
C₁₁₂.₃₀C₂² = C₇xM₆(2)	central extension (φ=1)	224	2	C112.30C2^2	448,174

Extensions 1→N→G→Q→1 with N=C112 and Q=C22

Extensions 1→N→G→Q→1 with N=C₁₁₂ and Q=C₂²