Extensions 1→N→G→Q→1 with N=C₂₈ and Q=C₂³

Direct product G=NxQ with N=C₂₈ and Q=C₂³

		d	ρ	Label	ID
C₂³xC₂₈		224		C2^3xC28	224,189

Semidirect products G=N:Q with N=C₂₈ and Q=C₂³

extension	φ:Q→Aut N	d	Label	ID
C₂₈:C₂³ = C₂xD₄xD₇	φ: C₂³/C₂ → C₂² ⊆ Aut C₂₈	56	C28:C2^3	224,178
C₂₈:₂C₂³ = C₂²xD₂₈	φ: C₂³/C₂² → C₂ ⊆ Aut C₂₈	112	C28:2C2^3	224,176
C₂₈:₃C₂³ = D₇xC₂²xC₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₂₈	112	C28:3C2^3	224,175
C₂₈:₄C₂³ = D₄xC₂xC₁₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₂₈	112	C28:4C2^3	224,190

Non-split extensions G=N.Q with N=C₂₈ and Q=C₂³

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₈.₁C₂³ = D₇xD₈	φ: C₂³/C₂ → C₂² ⊆ Aut C₂₈	56	4+	C28.1C2^3	224,105
C₂₈.₂C₂³ = D₈:D₇	φ: C₂³/C₂ → C₂² ⊆ Aut C₂₈	56	4	C28.2C2^3	224,106
C₂₈.₃C₂³ = D₈:₃D₇	φ: C₂³/C₂ → C₂² ⊆ Aut C₂₈	112	4-	C28.3C2^3	224,107
C₂₈.₄C₂³ = D₇xSD₁₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₂₈	56	4	C28.4C2^3	224,108
C₂₈.₅C₂³ = D₅₆:C₂	φ: C₂³/C₂ → C₂² ⊆ Aut C₂₈	56	4+	C28.5C2^3	224,109
C₂₈.₆C₂³ = SD₁₆:D₇	φ: C₂³/C₂ → C₂² ⊆ Aut C₂₈	112	4-	C28.6C2^3	224,110
C₂₈.₇C₂³ = SD₁₆:₃D₇	φ: C₂³/C₂ → C₂² ⊆ Aut C₂₈	112	4	C28.7C2^3	224,111
C₂₈.₈C₂³ = D₇xQ₁₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₂₈	112	4-	C28.8C2^3	224,112
C₂₈.₉C₂³ = Q₁₆:D₇	φ: C₂³/C₂ → C₂² ⊆ Aut C₂₈	112	4	C28.9C2^3	224,113
C₂₈.₁₀C₂³ = Q₈.D₁₄	φ: C₂³/C₂ → C₂² ⊆ Aut C₂₈	112	4+	C28.10C2^3	224,114
C₂₈.₁₁C₂³ = C₂xD₄:D₇	φ: C₂³/C₂ → C₂² ⊆ Aut C₂₈	112		C28.11C2^3	224,126
C₂₈.₁₂C₂³ = D₄.D₁₄	φ: C₂³/C₂ → C₂² ⊆ Aut C₂₈	56	4	C28.12C2^3	224,127
C₂₈.₁₃C₂³ = C₂xD₄.D₇	φ: C₂³/C₂ → C₂² ⊆ Aut C₂₈	112		C28.13C2^3	224,128
C₂₈.₁₄C₂³ = C₂xQ₈:D₇	φ: C₂³/C₂ → C₂² ⊆ Aut C₂₈	112		C28.14C2^3	224,136
C₂₈.₁₅C₂³ = C₂₈.C₂³	φ: C₂³/C₂ → C₂² ⊆ Aut C₂₈	112	4	C28.15C2^3	224,137
C₂₈.₁₆C₂³ = C₂xC₇:Q₁₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₂₈	224		C28.16C2^3	224,138
C₂₈.₁₇C₂³ = D₄:D₁₄	φ: C₂³/C₂ → C₂² ⊆ Aut C₂₈	56	4+	C28.17C2^3	224,144
C₂₈.₁₈C₂³ = D₄.₈D₁₄	φ: C₂³/C₂ → C₂² ⊆ Aut C₂₈	112	4	C28.18C2^3	224,145
C₂₈.₁₉C₂³ = D₄.₉D₁₄	φ: C₂³/C₂ → C₂² ⊆ Aut C₂₈	112	4-	C28.19C2^3	224,146
C₂₈.₂₀C₂³ = C₂xD₄:₂D₇	φ: C₂³/C₂ → C₂² ⊆ Aut C₂₈	112		C28.20C2^3	224,179
C₂₈.₂₁C₂³ = D₄:₆D₁₄	φ: C₂³/C₂ → C₂² ⊆ Aut C₂₈	56	4	C28.21C2^3	224,180
C₂₈.₂₂C₂³ = C₂xQ₈xD₇	φ: C₂³/C₂ → C₂² ⊆ Aut C₂₈	112		C28.22C2^3	224,181
C₂₈.₂₃C₂³ = C₂xQ₈:₂D₇	φ: C₂³/C₂ → C₂² ⊆ Aut C₂₈	112		C28.23C2^3	224,182
C₂₈.₂₄C₂³ = Q₈.₁₀D₁₄	φ: C₂³/C₂ → C₂² ⊆ Aut C₂₈	112	4	C28.24C2^3	224,183
C₂₈.₂₅C₂³ = D₇xC₄oD₄	φ: C₂³/C₂ → C₂² ⊆ Aut C₂₈	56	4	C28.25C2^3	224,184
C₂₈.₂₆C₂³ = D₄:₈D₁₄	φ: C₂³/C₂ → C₂² ⊆ Aut C₂₈	56	4+	C28.26C2^3	224,185
C₂₈.₂₇C₂³ = D₄.₁₀D₁₄	φ: C₂³/C₂ → C₂² ⊆ Aut C₂₈	112	4-	C28.27C2^3	224,186
C₂₈.₂₈C₂³ = C₂xC₅₆:C₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₂₈	112		C28.28C2^3	224,97
C₂₈.₂₉C₂³ = C₂xD₅₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₂₈	112		C28.29C2^3	224,98
C₂₈.₃₀C₂³ = D₅₆:₇C₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₂₈	112	2	C28.30C2^3	224,99
C₂₈.₃₁C₂³ = C₂xDic₂₈	φ: C₂³/C₂² → C₂ ⊆ Aut C₂₈	224		C28.31C2^3	224,100
C₂₈.₃₂C₂³ = C₈:D₁₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₂₈	56	4+	C28.32C2^3	224,103
C₂₈.₃₃C₂³ = C₈.D₁₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₂₈	112	4-	C28.33C2^3	224,104
C₂₈.₃₄C₂³ = C₂²xDic₁₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₂₈	224		C28.34C2^3	224,174
C₂₈.₃₅C₂³ = D₇xC₂xC₈	φ: C₂³/C₂² → C₂ ⊆ Aut C₂₈	112		C28.35C2^3	224,94
C₂₈.₃₆C₂³ = C₂xC₈:D₇	φ: C₂³/C₂² → C₂ ⊆ Aut C₂₈	112		C28.36C2^3	224,95
C₂₈.₃₇C₂³ = D₂₈.₂C₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₂₈	112	2	C28.37C2^3	224,96
C₂₈.₃₈C₂³ = D₇xM₄(2)	φ: C₂³/C₂² → C₂ ⊆ Aut C₂₈	56	4	C28.38C2^3	224,101
C₂₈.₃₉C₂³ = D₂₈.C₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₂₈	112	4	C28.39C2^3	224,102
C₂₈.₄₀C₂³ = C₂²xC₇:C₈	φ: C₂³/C₂² → C₂ ⊆ Aut C₂₈	224		C28.40C2^3	224,115
C₂₈.₄₁C₂³ = C₂xC₄.Dic₇	φ: C₂³/C₂² → C₂ ⊆ Aut C₂₈	112		C28.41C2^3	224,116
C₂₈.₄₂C₂³ = Q₈.Dic₇	φ: C₂³/C₂² → C₂ ⊆ Aut C₂₈	112	4	C28.42C2^3	224,143
C₂₈.₄₃C₂³ = C₂xC₄oD₂₈	φ: C₂³/C₂² → C₂ ⊆ Aut C₂₈	112		C28.43C2^3	224,177
C₂₈.₄₄C₂³ = C₁₄xD₈	φ: C₂³/C₂² → C₂ ⊆ Aut C₂₈	112		C28.44C2^3	224,167
C₂₈.₄₅C₂³ = C₁₄xSD₁₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₂₈	112		C28.45C2^3	224,168
C₂₈.₄₆C₂³ = C₁₄xQ₁₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₂₈	224		C28.46C2^3	224,169
C₂₈.₄₇C₂³ = C₇xC₄oD₈	φ: C₂³/C₂² → C₂ ⊆ Aut C₂₈	112	2	C28.47C2^3	224,170
C₂₈.₄₈C₂³ = C₇xC₈:C₂²	φ: C₂³/C₂² → C₂ ⊆ Aut C₂₈	56	4	C28.48C2^3	224,171
C₂₈.₄₉C₂³ = C₇xC₈.C₂²	φ: C₂³/C₂² → C₂ ⊆ Aut C₂₈	112	4	C28.49C2^3	224,172
C₂₈.₅₀C₂³ = Q₈xC₂xC₁₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₂₈	224		C28.50C2^3	224,191
C₂₈.₅₁C₂³ = C₇x2₊¹⁺⁴	φ: C₂³/C₂² → C₂ ⊆ Aut C₂₈	56	4	C28.51C2^3	224,193
C₂₈.₅₂C₂³ = C₇x2_-¹⁺⁴	φ: C₂³/C₂² → C₂ ⊆ Aut C₂₈	112	4	C28.52C2^3	224,194
C₂₈.₅₃C₂³ = C₁₄xM₄(2)	central extension (φ=1)	112		C28.53C2^3	224,165
C₂₈.₅₄C₂³ = C₇xC₈oD₄	central extension (φ=1)	112	2	C28.54C2^3	224,166
C₂₈.₅₅C₂³ = C₁₄xC₄oD₄	central extension (φ=1)	112		C28.55C2^3	224,192

Extensions 1→N→G→Q→1 with N=C28 and Q=C23

Extensions 1→N→G→Q→1 with N=C₂₈ and Q=C₂³