Extensions 1→N→G→Q→1 with N=C₄₄ and Q=C₂³

Direct product G=N×Q with N=C₄₄ and Q=C₂³

		d	ρ	Label	ID
C₂³×C₄₄		352		C2^3xC44	352,188

Semidirect products G=N:Q with N=C₄₄ and Q=C₂³

extension	φ:Q→Aut N	d	Label	ID
C₄₄⋊C₂³ = C₂×D₄×D₁₁	φ: C₂³/C₂ → C₂² ⊆ Aut C₄₄	88	C44:C2^3	352,177
C₄₄⋊₂C₂³ = C₂²×D₄₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₄₄	176	C44:2C2^3	352,175
C₄₄⋊₃C₂³ = C₂²×C₄×D₁₁	φ: C₂³/C₂² → C₂ ⊆ Aut C₄₄	176	C44:3C2^3	352,174
C₄₄⋊₄C₂³ = D₄×C₂×C₂₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₄₄	176	C44:4C2^3	352,189

Non-split extensions G=N.Q with N=C₄₄ and Q=C₂³

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄₄.₁C₂³ = D₈×D₁₁	φ: C₂³/C₂ → C₂² ⊆ Aut C₄₄	88	4+	C44.1C2^3	352,105
C₄₄.₂C₂³ = D₄⋊D₂₂	φ: C₂³/C₂ → C₂² ⊆ Aut C₄₄	88	4	C44.2C2^3	352,106
C₄₄.₃C₂³ = D₈⋊₃D₁₁	φ: C₂³/C₂ → C₂² ⊆ Aut C₄₄	176	4-	C44.3C2^3	352,107
C₄₄.₄C₂³ = SD₁₆×D₁₁	φ: C₂³/C₂ → C₂² ⊆ Aut C₄₄	88	4	C44.4C2^3	352,108
C₄₄.₅C₂³ = D₈₈⋊C₂	φ: C₂³/C₂ → C₂² ⊆ Aut C₄₄	88	4+	C44.5C2^3	352,109
C₄₄.₆C₂³ = D₄.D₂₂	φ: C₂³/C₂ → C₂² ⊆ Aut C₄₄	176	4-	C44.6C2^3	352,110
C₄₄.₇C₂³ = Q₈.D₂₂	φ: C₂³/C₂ → C₂² ⊆ Aut C₄₄	176	4	C44.7C2^3	352,111
C₄₄.₈C₂³ = Q₁₆×D₁₁	φ: C₂³/C₂ → C₂² ⊆ Aut C₄₄	176	4-	C44.8C2^3	352,112
C₄₄.₉C₂³ = Q₁₆⋊D₁₁	φ: C₂³/C₂ → C₂² ⊆ Aut C₄₄	176	4	C44.9C2^3	352,113
C₄₄.₁₀C₂³ = D₈₈⋊₅C₂	φ: C₂³/C₂ → C₂² ⊆ Aut C₄₄	176	4+	C44.10C2^3	352,114
C₄₄.₁₁C₂³ = C₂×D₄⋊D₁₁	φ: C₂³/C₂ → C₂² ⊆ Aut C₄₄	176		C44.11C2^3	352,126
C₄₄.₁₂C₂³ = D₄₄⋊₆C₂²	φ: C₂³/C₂ → C₂² ⊆ Aut C₄₄	88	4	C44.12C2^3	352,127
C₄₄.₁₃C₂³ = C₂×D₄.D₁₁	φ: C₂³/C₂ → C₂² ⊆ Aut C₄₄	176		C44.13C2^3	352,128
C₄₄.₁₄C₂³ = C₂×Q₈⋊D₁₁	φ: C₂³/C₂ → C₂² ⊆ Aut C₄₄	176		C44.14C2^3	352,136
C₄₄.₁₅C₂³ = C₄₄.C₂³	φ: C₂³/C₂ → C₂² ⊆ Aut C₄₄	176	4	C44.15C2^3	352,137
C₄₄.₁₆C₂³ = C₂×C₁₁⋊Q₁₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₄₄	352		C44.16C2^3	352,138
C₄₄.₁₇C₂³ = Q₈⋊D₂₂	φ: C₂³/C₂ → C₂² ⊆ Aut C₄₄	88	4+	C44.17C2^3	352,144
C₄₄.₁₈C₂³ = D₄.₈D₂₂	φ: C₂³/C₂ → C₂² ⊆ Aut C₄₄	176	4	C44.18C2^3	352,145
C₄₄.₁₉C₂³ = D₄.₉D₂₂	φ: C₂³/C₂ → C₂² ⊆ Aut C₄₄	176	4-	C44.19C2^3	352,146
C₄₄.₂₀C₂³ = C₂×D₄⋊₂D₁₁	φ: C₂³/C₂ → C₂² ⊆ Aut C₄₄	176		C44.20C2^3	352,178
C₄₄.₂₁C₂³ = D₄⋊₆D₂₂	φ: C₂³/C₂ → C₂² ⊆ Aut C₄₄	88	4	C44.21C2^3	352,179
C₄₄.₂₂C₂³ = C₂×Q₈×D₁₁	φ: C₂³/C₂ → C₂² ⊆ Aut C₄₄	176		C44.22C2^3	352,180
C₄₄.₂₃C₂³ = C₂×D₄₄⋊C₂	φ: C₂³/C₂ → C₂² ⊆ Aut C₄₄	176		C44.23C2^3	352,181
C₄₄.₂₄C₂³ = Q₈.₁₀D₂₂	φ: C₂³/C₂ → C₂² ⊆ Aut C₄₄	176	4	C44.24C2^3	352,182
C₄₄.₂₅C₂³ = C₄○D₄×D₁₁	φ: C₂³/C₂ → C₂² ⊆ Aut C₄₄	88	4	C44.25C2^3	352,183
C₄₄.₂₆C₂³ = D₄⋊₈D₂₂	φ: C₂³/C₂ → C₂² ⊆ Aut C₄₄	88	4+	C44.26C2^3	352,184
C₄₄.₂₇C₂³ = D₄.₁₀D₂₂	φ: C₂³/C₂ → C₂² ⊆ Aut C₄₄	176	4-	C44.27C2^3	352,185
C₄₄.₂₈C₂³ = C₂×C₈⋊D₁₁	φ: C₂³/C₂² → C₂ ⊆ Aut C₄₄	176		C44.28C2^3	352,97
C₄₄.₂₉C₂³ = C₂×D₈₈	φ: C₂³/C₂² → C₂ ⊆ Aut C₄₄	176		C44.29C2^3	352,98
C₄₄.₃₀C₂³ = D₈₈⋊₇C₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₄₄	176	2	C44.30C2^3	352,99
C₄₄.₃₁C₂³ = C₂×Dic₄₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₄₄	352		C44.31C2^3	352,100
C₄₄.₃₂C₂³ = C₈⋊D₂₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₄₄	88	4+	C44.32C2^3	352,103
C₄₄.₃₃C₂³ = C₈.D₂₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₄₄	176	4-	C44.33C2^3	352,104
C₄₄.₃₄C₂³ = C₂²×Dic₂₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₄₄	352		C44.34C2^3	352,173
C₄₄.₃₅C₂³ = C₂×C₈×D₁₁	φ: C₂³/C₂² → C₂ ⊆ Aut C₄₄	176		C44.35C2^3	352,94
C₄₄.₃₆C₂³ = C₂×C₈₈⋊C₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₄₄	176		C44.36C2^3	352,95
C₄₄.₃₇C₂³ = D₄₄.₂C₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₄₄	176	2	C44.37C2^3	352,96
C₄₄.₃₈C₂³ = M₄(2)×D₁₁	φ: C₂³/C₂² → C₂ ⊆ Aut C₄₄	88	4	C44.38C2^3	352,101
C₄₄.₃₉C₂³ = D₄₄.C₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₄₄	176	4	C44.39C2^3	352,102
C₄₄.₄₀C₂³ = C₂²×C₁₁⋊C₈	φ: C₂³/C₂² → C₂ ⊆ Aut C₄₄	352		C44.40C2^3	352,115
C₄₄.₄₁C₂³ = C₂×C₄₄.C₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₄₄	176		C44.41C2^3	352,116
C₄₄.₄₂C₂³ = Q₈.Dic₁₁	φ: C₂³/C₂² → C₂ ⊆ Aut C₄₄	176	4	C44.42C2^3	352,143
C₄₄.₄₃C₂³ = C₂×D₄₄⋊₅C₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₄₄	176		C44.43C2^3	352,176
C₄₄.₄₄C₂³ = D₈×C₂₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₄₄	176		C44.44C2^3	352,167
C₄₄.₄₅C₂³ = SD₁₆×C₂₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₄₄	176		C44.45C2^3	352,168
C₄₄.₄₆C₂³ = Q₁₆×C₂₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₄₄	352		C44.46C2^3	352,169
C₄₄.₄₇C₂³ = C₁₁×C₄○D₈	φ: C₂³/C₂² → C₂ ⊆ Aut C₄₄	176	2	C44.47C2^3	352,170
C₄₄.₄₈C₂³ = C₁₁×C₈⋊C₂²	φ: C₂³/C₂² → C₂ ⊆ Aut C₄₄	88	4	C44.48C2^3	352,171
C₄₄.₄₉C₂³ = C₁₁×C₈.C₂²	φ: C₂³/C₂² → C₂ ⊆ Aut C₄₄	176	4	C44.49C2^3	352,172
C₄₄.₅₀C₂³ = Q₈×C₂×C₂₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₄₄	352		C44.50C2^3	352,190
C₄₄.₅₁C₂³ = C₁₁×2₊¹⁺⁴	φ: C₂³/C₂² → C₂ ⊆ Aut C₄₄	88	4	C44.51C2^3	352,192
C₄₄.₅₂C₂³ = C₁₁×2_-¹⁺⁴	φ: C₂³/C₂² → C₂ ⊆ Aut C₄₄	176	4	C44.52C2^3	352,193
C₄₄.₅₃C₂³ = M₄(2)×C₂₂	central extension (φ=1)	176		C44.53C2^3	352,165
C₄₄.₅₄C₂³ = C₁₁×C₈○D₄	central extension (φ=1)	176	2	C44.54C2^3	352,166
C₄₄.₅₅C₂³ = C₄○D₄×C₂₂	central extension (φ=1)	176		C44.55C2^3	352,191

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Extensions 1→N→G→Q→1 with N=C44 and Q=C23

Extensions 1→N→G→Q→1 with N=C₄₄ and Q=C₂³