Extensions 1→N→G→Q→1 with N=C₂×C₂₈ and Q=C₂²

Direct product G=N×Q with N=C₂×C₂₈ and Q=C₂²

		d	ρ	Label	ID
C₂³×C₂₈		224		C2^3xC28	224,189

Semidirect products G=N:Q with N=C₂×C₂₈ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₂₈)⋊₁C₂² = C₂²⋊D₂₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	56		(C2xC28):1C2^2	224,77
(C₂×C₂₈)⋊₂C₂² = C₂×D₄×D₇	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	56		(C2xC28):2C2^2	224,178
(C₂×C₂₈)⋊₃C₂² = D₄⋊₆D₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	56	4	(C2xC28):3C2^2	224,180
(C₂×C₂₈)⋊₄C₂² = D₇×C₄○D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	56	4	(C2xC28):4C2^2	224,184
(C₂×C₂₈)⋊₅C₂² = D₄⋊₈D₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	56	4+	(C2xC28):5C2^2	224,185
(C₂×C₂₈)⋊₆C₂² = D₇×C₂²⋊C₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	56		(C2xC28):6C2^2	224,75
(C₂×C₂₈)⋊₇C₂² = C₂³⋊D₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	56		(C2xC28):7C2^2	224,132
(C₂×C₂₈)⋊₈C₂² = C₇×C₂²≀C₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	56		(C2xC28):8C2^2	224,155
(C₂×C₂₈)⋊₉C₂² = C₇×2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	56	4	(C2xC28):9C2^2	224,193
(C₂×C₂₈)⋊₁₀C₂² = C₂×D₁₄⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	112		(C2xC28):10C2^2	224,122
(C₂×C₂₈)⋊₁₁C₂² = C₁₄×C₂²⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	112		(C2xC28):11C2^2	224,150
(C₂×C₂₈)⋊₁₂C₂² = C₂²×D₂₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	112		(C2xC28):12C2^2	224,176
(C₂×C₂₈)⋊₁₃C₂² = C₂×C₄○D₂₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	112		(C2xC28):13C2^2	224,177
(C₂×C₂₈)⋊₁₄C₂² = D₇×C₂²×C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	112		(C2xC28):14C2^2	224,175
(C₂×C₂₈)⋊₁₅C₂² = D₄×C₂×C₁₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	112		(C2xC28):15C2^2	224,190
(C₂×C₂₈)⋊₁₆C₂² = C₁₄×C₄○D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	112		(C2xC28):16C2^2	224,192

Non-split extensions G=N.Q with N=C₂×C₂₈ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₂₈).₁C₂² = C₂²⋊Dic₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	112		(C2xC28).1C2^2	224,73
(C₂×C₂₈).₂C₂² = C₂³.D₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	112		(C2xC28).2C2^2	224,74
(C₂×C₂₈).₃C₂² = C₂².D₂₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	112		(C2xC28).3C2^2	224,81
(C₂×C₂₈).₄C₂² = C₂₈⋊Q₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	224		(C2xC28).4C2^2	224,83
(C₂×C₂₈).₅C₂² = C₄⋊D₂₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	112		(C2xC28).5C2^2	224,90
(C₂×C₂₈).₆C₂² = D₁₄⋊₂Q₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	112		(C2xC28).6C2^2	224,92
(C₂×C₂₈).₇C₂² = C₄⋊C₄⋊D₇	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	112		(C2xC28).7C2^2	224,93
(C₂×C₂₈).₈C₂² = C₂₈.Q₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	224		(C2xC28).8C2^2	224,13
(C₂×C₂₈).₉C₂² = C₄.Dic₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	224		(C2xC28).9C2^2	224,14
(C₂×C₂₈).₁₀C₂² = C₁₄.D₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	112		(C2xC28).10C2^2	224,15
(C₂×C₂₈).₁₁C₂² = C₁₄.Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	224		(C2xC28).11C2^2	224,16
(C₂×C₂₈).₁₂C₂² = C₂₈.₅₃D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	112	4	(C2xC28).12C2^2	224,28
(C₂×C₂₈).₁₃C₂² = C₂₈.₄₆D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	56	4+	(C2xC28).13C2^2	224,29
(C₂×C₂₈).₁₄C₂² = C₄.₁₂D₂₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	112	4-	(C2xC28).14C2^2	224,30
(C₂×C₂₈).₁₅C₂² = D₂₈⋊₄C₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	56	4	(C2xC28).15C2^2	224,31
(C₂×C₂₈).₁₆C₂² = D₄⋊Dic₇	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	112		(C2xC28).16C2^2	224,38
(C₂×C₂₈).₁₇C₂² = C₂₈.D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	56	4	(C2xC28).17C2^2	224,39
(C₂×C₂₈).₁₈C₂² = Q₈⋊Dic₇	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	224		(C2xC28).18C2^2	224,41
(C₂×C₂₈).₁₉C₂² = C₂₈.₁₀D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	112	4	(C2xC28).19C2^2	224,42
(C₂×C₂₈).₂₀C₂² = D₄⋊₂Dic₇	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	56	4	(C2xC28).20C2^2	224,43
(C₂×C₂₈).₂₁C₂² = Dic₇⋊₃Q₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	224		(C2xC28).21C2^2	224,82
(C₂×C₂₈).₂₂C₂² = C₂₈.₃Q₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	224		(C2xC28).22C2^2	224,85
(C₂×C₂₈).₂₃C₂² = D₇×C₄⋊C₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	112		(C2xC28).23C2^2	224,86
(C₂×C₂₈).₂₄C₂² = D₂₈⋊C₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	112		(C2xC28).24C2^2	224,88
(C₂×C₂₈).₂₅C₂² = D₇×M₄(2)	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	56	4	(C2xC28).25C2^2	224,101
(C₂×C₂₈).₂₆C₂² = D₂₈.C₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	112	4	(C2xC28).26C2^2	224,102
(C₂×C₂₈).₂₇C₂² = C₈⋊D₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	56	4+	(C2xC28).27C2^2	224,103
(C₂×C₂₈).₂₈C₂² = C₈.D₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	112	4-	(C2xC28).28C2^2	224,104
(C₂×C₂₈).₂₉C₂² = C₂×D₄⋊D₇	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	112		(C2xC28).29C2^2	224,126
(C₂×C₂₈).₃₀C₂² = D₄.D₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	56	4	(C2xC28).30C2^2	224,127
(C₂×C₂₈).₃₁C₂² = C₂×D₄.D₇	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	112		(C2xC28).31C2^2	224,128
(C₂×C₂₈).₃₂C₂² = D₄×Dic₇	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	112		(C2xC28).32C2^2	224,129
(C₂×C₂₈).₃₃C₂² = C₂₈.₁₇D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	112		(C2xC28).33C2^2	224,131
(C₂×C₂₈).₃₄C₂² = C₂₈⋊₂D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	112		(C2xC28).34C2^2	224,133
(C₂×C₂₈).₃₅C₂² = C₂₈⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	112		(C2xC28).35C2^2	224,135
(C₂×C₂₈).₃₆C₂² = C₂×Q₈⋊D₇	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	112		(C2xC28).36C2^2	224,136
(C₂×C₂₈).₃₇C₂² = C₂₈.C₂³	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	112	4	(C2xC28).37C2^2	224,137
(C₂×C₂₈).₃₈C₂² = C₂×C₇⋊Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	224		(C2xC28).38C2^2	224,138
(C₂×C₂₈).₃₉C₂² = Q₈×Dic₇	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	224		(C2xC28).39C2^2	224,140
(C₂×C₂₈).₄₀C₂² = C₂₈.₂₃D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	112		(C2xC28).40C2^2	224,142
(C₂×C₂₈).₄₁C₂² = Q₈.Dic₇	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	112	4	(C2xC28).41C2^2	224,143
(C₂×C₂₈).₄₂C₂² = D₄⋊D₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	56	4+	(C2xC28).42C2^2	224,144
(C₂×C₂₈).₄₃C₂² = D₄.₈D₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	112	4	(C2xC28).43C2^2	224,145
(C₂×C₂₈).₄₄C₂² = D₄.₉D₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	112	4-	(C2xC28).44C2^2	224,146
(C₂×C₂₈).₄₅C₂² = C₂×D₄⋊₂D₇	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	112		(C2xC28).45C2^2	224,179
(C₂×C₂₈).₄₆C₂² = C₂×Q₈×D₇	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	112		(C2xC28).46C2^2	224,181
(C₂×C₂₈).₄₇C₂² = C₂×Q₈⋊₂D₇	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	112		(C2xC28).47C2^2	224,182
(C₂×C₂₈).₄₈C₂² = Q₈.₁₀D₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	112	4	(C2xC28).48C2^2	224,183
(C₂×C₂₈).₄₉C₂² = D₄.₁₀D₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	112	4-	(C2xC28).49C2^2	224,186
(C₂×C₂₈).₅₀C₂² = C₂³.₁₁D₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	112		(C2xC28).50C2^2	224,72
(C₂×C₂₈).₅₁C₂² = Dic₇⋊₄D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	112		(C2xC28).51C2^2	224,76
(C₂×C₂₈).₅₂C₂² = D₁₄.D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	112		(C2xC28).52C2^2	224,78
(C₂×C₂₈).₅₃C₂² = D₁₄⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	112		(C2xC28).53C2^2	224,79
(C₂×C₂₈).₅₄C₂² = Dic₇.D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	112		(C2xC28).54C2^2	224,80
(C₂×C₂₈).₅₅C₂² = Dic₇.Q₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	224		(C2xC28).55C2^2	224,84
(C₂×C₂₈).₅₆C₂² = C₄⋊C₄⋊₇D₇	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	112		(C2xC28).56C2^2	224,87
(C₂×C₂₈).₅₇C₂² = D₁₄.₅D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	112		(C2xC28).57C2^2	224,89
(C₂×C₂₈).₅₈C₂² = D₁₄⋊Q₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	112		(C2xC28).58C2^2	224,91
(C₂×C₂₈).₅₉C₂² = C₇×C₄.D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	56	4	(C2xC28).59C2^2	224,49
(C₂×C₂₈).₆₀C₂² = C₇×C₄.₁₀D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	112	4	(C2xC28).60C2^2	224,50
(C₂×C₂₈).₆₁C₂² = C₂³.₁₈D₁₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	112		(C2xC28).61C2^2	224,130
(C₂×C₂₈).₆₂C₂² = Dic₇⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	112		(C2xC28).62C2^2	224,134
(C₂×C₂₈).₆₃C₂² = Dic₇⋊Q₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	224		(C2xC28).63C2^2	224,139
(C₂×C₂₈).₆₄C₂² = D₁₄⋊₃Q₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	112		(C2xC28).64C2^2	224,141
(C₂×C₂₈).₆₅C₂² = C₇×C₂².D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	112		(C2xC28).65C2^2	224,158
(C₂×C₂₈).₆₆C₂² = C₇×C₄.₄D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	112		(C2xC28).66C2^2	224,159
(C₂×C₂₈).₆₇C₂² = C₇×C₄².C₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	224		(C2xC28).67C2^2	224,160
(C₂×C₂₈).₆₈C₂² = C₇×C₄²⋊₂C₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	112		(C2xC28).68C2^2	224,161
(C₂×C₂₈).₆₉C₂² = C₇×C₈⋊C₂²	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	56	4	(C2xC28).69C2^2	224,171
(C₂×C₂₈).₇₀C₂² = C₇×C₈.C₂²	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	112	4	(C2xC28).70C2^2	224,172
(C₂×C₂₈).₇₁C₂² = C₇×2_-¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₂₈	112	4	(C2xC28).71C2^2	224,194
(C₂×C₂₈).₇₂C₂² = C₂₈.₆Q₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	224		(C2xC28).72C2^2	224,65
(C₂×C₂₈).₇₃C₂² = C₄²⋊D₇	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	112		(C2xC28).73C2^2	224,67
(C₂×C₂₈).₇₄C₂² = C₄.D₂₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	112		(C2xC28).74C2^2	224,70
(C₂×C₂₈).₇₅C₂² = C₄²⋊₂D₇	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	112		(C2xC28).75C2^2	224,71
(C₂×C₂₈).₇₆C₂² = C₂×Dic₇⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	224		(C2xC28).76C2^2	224,118
(C₂×C₂₈).₇₇C₂² = C₄×C₇⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	112		(C2xC28).77C2^2	224,123
(C₂×C₂₈).₇₈C₂² = C₂³.₂₃D₁₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	112		(C2xC28).78C2^2	224,124
(C₂×C₂₈).₇₉C₂² = C₇×C₄²⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	112		(C2xC28).79C2^2	224,152
(C₂×C₂₈).₈₀C₂² = C₂₈.₄₄D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	224		(C2xC28).80C2^2	224,22
(C₂×C₂₈).₈₁C₂² = C₈⋊Dic₇	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	224		(C2xC28).81C2^2	224,23
(C₂×C₂₈).₈₂C₂² = C₅₆⋊₁C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	224		(C2xC28).82C2^2	224,24
(C₂×C₂₈).₈₃C₂² = C₂.D₅₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	112		(C2xC28).83C2^2	224,27
(C₂×C₂₈).₈₄C₂² = C₄×Dic₁₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	224		(C2xC28).84C2^2	224,63
(C₂×C₂₈).₈₅C₂² = C₂₈⋊₂Q₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	224		(C2xC28).85C2^2	224,64
(C₂×C₂₈).₈₆C₂² = C₄×D₂₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	112		(C2xC28).86C2^2	224,68
(C₂×C₂₈).₈₇C₂² = C₂₈⋊₄D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	112		(C2xC28).87C2^2	224,69
(C₂×C₂₈).₈₈C₂² = C₂×C₅₆⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	112		(C2xC28).88C2^2	224,97
(C₂×C₂₈).₈₉C₂² = C₂×D₅₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	112		(C2xC28).89C2^2	224,98
(C₂×C₂₈).₉₀C₂² = C₂×Dic₂₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	224		(C2xC28).90C2^2	224,100
(C₂×C₂₈).₉₁C₂² = C₂₈.₄₈D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	112		(C2xC28).91C2^2	224,119
(C₂×C₂₈).₉₂C₂² = C₂×C₄⋊Dic₇	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	224		(C2xC28).92C2^2	224,120
(C₂×C₂₈).₉₃C₂² = C₂³.₂₁D₁₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	112		(C2xC28).93C2^2	224,121
(C₂×C₂₈).₉₄C₂² = C₂₈⋊₇D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	112		(C2xC28).94C2^2	224,125
(C₂×C₂₈).₉₅C₂² = C₂²×Dic₁₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	224		(C2xC28).95C2^2	224,174
(C₂×C₂₈).₉₆C₂² = Dic₁₄⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	56	2	(C2xC28).96C2^2	224,11
(C₂×C₂₈).₉₇C₂² = C₅₆.C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	112	2	(C2xC28).97C2^2	224,25
(C₂×C₂₈).₉₈C₂² = D₂₈.₂C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	112	2	(C2xC28).98C2^2	224,96
(C₂×C₂₈).₉₉C₂² = D₅₆⋊₇C₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	112	2	(C2xC28).99C2^2	224,99
(C₂×C₂₈).₁₀₀C₂² = C₂×C₄.Dic₇	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	112		(C2xC28).100C2^2	224,116
(C₂×C₂₈).₁₀₁C₂² = C₄×C₇⋊C₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	224		(C2xC28).101C2^2	224,8
(C₂×C₂₈).₁₀₂C₂² = C₄².D₇	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	224		(C2xC28).102C2^2	224,9
(C₂×C₂₈).₁₀₃C₂² = C₂₈⋊C₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	224		(C2xC28).103C2^2	224,10
(C₂×C₂₈).₁₀₄C₂² = C₈×Dic₇	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	224		(C2xC28).104C2^2	224,19
(C₂×C₂₈).₁₀₅C₂² = Dic₇⋊C₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	224		(C2xC28).105C2^2	224,20
(C₂×C₂₈).₁₀₆C₂² = C₅₆⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	224		(C2xC28).106C2^2	224,21
(C₂×C₂₈).₁₀₇C₂² = D₁₄⋊C₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	112		(C2xC28).107C2^2	224,26
(C₂×C₂₈).₁₀₈C₂² = C₂₈.₅₅D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	112		(C2xC28).108C2^2	224,36
(C₂×C₂₈).₁₀₉C₂² = D₇×C₄²	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	112		(C2xC28).109C2^2	224,66
(C₂×C₂₈).₁₁₀C₂² = D₇×C₂×C₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	112		(C2xC28).110C2^2	224,94
(C₂×C₂₈).₁₁₁C₂² = C₂×C₈⋊D₇	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	112		(C2xC28).111C2^2	224,95
(C₂×C₂₈).₁₁₂C₂² = C₂²×C₇⋊C₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	224		(C2xC28).112C2^2	224,115
(C₂×C₂₈).₁₁₃C₂² = C₂×C₄×Dic₇	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	224		(C2xC28).113C2^2	224,117
(C₂×C₂₈).₁₁₄C₂² = C₇×D₄⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	112		(C2xC28).114C2^2	224,51
(C₂×C₂₈).₁₁₅C₂² = C₇×Q₈⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	224		(C2xC28).115C2^2	224,52
(C₂×C₂₈).₁₁₆C₂² = C₇×C₄≀C₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	56	2	(C2xC28).116C2^2	224,53
(C₂×C₂₈).₁₁₇C₂² = C₇×C₄.Q₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	224		(C2xC28).117C2^2	224,55
(C₂×C₂₈).₁₁₈C₂² = C₇×C₂.D₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	224		(C2xC28).118C2^2	224,56
(C₂×C₂₈).₁₁₉C₂² = C₇×C₈.C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	112	2	(C2xC28).119C2^2	224,57
(C₂×C₂₈).₁₂₀C₂² = C₁₄×C₄⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	224		(C2xC28).120C2^2	224,151
(C₂×C₂₈).₁₂₁C₂² = D₄×C₂₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	112		(C2xC28).121C2^2	224,153
(C₂×C₂₈).₁₂₂C₂² = Q₈×C₂₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	224		(C2xC28).122C2^2	224,154
(C₂×C₂₈).₁₂₃C₂² = C₇×C₄⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	112		(C2xC28).123C2^2	224,156
(C₂×C₂₈).₁₂₄C₂² = C₇×C₂²⋊Q₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	112		(C2xC28).124C2^2	224,157
(C₂×C₂₈).₁₂₅C₂² = C₇×C₄⋊₁D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	112		(C2xC28).125C2^2	224,162
(C₂×C₂₈).₁₂₆C₂² = C₇×C₄⋊Q₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	224		(C2xC28).126C2^2	224,163
(C₂×C₂₈).₁₂₇C₂² = C₁₄×M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	112		(C2xC28).127C2^2	224,165
(C₂×C₂₈).₁₂₈C₂² = C₇×C₈○D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	112	2	(C2xC28).128C2^2	224,166
(C₂×C₂₈).₁₂₉C₂² = C₁₄×D₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	112		(C2xC28).129C2^2	224,167
(C₂×C₂₈).₁₃₀C₂² = C₁₄×SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	112		(C2xC28).130C2^2	224,168
(C₂×C₂₈).₁₃₁C₂² = C₁₄×Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	224		(C2xC28).131C2^2	224,169
(C₂×C₂₈).₁₃₂C₂² = C₇×C₄○D₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	112	2	(C2xC28).132C2^2	224,170
(C₂×C₂₈).₁₃₃C₂² = Q₈×C₂×C₁₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₂₈	224		(C2xC28).133C2^2	224,191
(C₂×C₂₈).₁₃₄C₂² = C₇×C₈⋊C₄	central extension (φ=1)	224		(C2xC28).134C2^2	224,46
(C₂×C₂₈).₁₃₅C₂² = C₇×C₂²⋊C₈	central extension (φ=1)	112		(C2xC28).135C2^2	224,47
(C₂×C₂₈).₁₃₆C₂² = C₇×C₄⋊C₈	central extension (φ=1)	224		(C2xC28).136C2^2	224,54

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Extensions 1→N→G→Q→1 with N=C2×C28 and Q=C22

Extensions 1→N→G→Q→1 with N=C₂×C₂₈ and Q=C₂²