Extensions 1→N→G→Q→1 with N=C₃₆ and Q=D₄

Direct product G=NxQ with N=C₃₆ and Q=D₄

		d	ρ	Label	ID
D₄xC₃₆		144		D4xC36	288,168

Semidirect products G=N:Q with N=C₃₆ and Q=D₄

extension	φ:Q→Aut N	d	Label	ID
C₃₆:₁D₄ = C₄:D₃₆	φ: D₄/C₂ → C₂² ⊆ Aut C₃₆	144	C36:1D4	288,105
C₃₆:₂D₄ = C₃₆:₂D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₃₆	144	C36:2D4	288,148
C₃₆:₃D₄ = C₃₆:D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₃₆	144	C36:3D4	288,150
C₃₆:₄D₄ = C₄²:₆D₉	φ: D₄/C₄ → C₂ ⊆ Aut C₃₆	144	C36:4D4	288,84
C₃₆:₅D₄ = C₄xD₃₆	φ: D₄/C₄ → C₂ ⊆ Aut C₃₆	144	C36:5D4	288,83
C₃₆:₆D₄ = C₉xC₄:₁D₄	φ: D₄/C₄ → C₂ ⊆ Aut C₃₆	144	C36:6D4	288,177
C₃₆:₇D₄ = C₃₆:₇D₄	φ: D₄/C₂² → C₂ ⊆ Aut C₃₆	144	C36:7D4	288,140
C₃₆:₈D₄ = C₄xC₉:D₄	φ: D₄/C₂² → C₂ ⊆ Aut C₃₆	144	C36:8D4	288,138
C₃₆:₉D₄ = C₉xC₄:D₄	φ: D₄/C₂² → C₂ ⊆ Aut C₃₆	144	C36:9D4	288,171

Non-split extensions G=N.Q with N=C₃₆ and Q=D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₆.₁D₄ = C₁₈.Q₁₆	φ: D₄/C₂ → C₂² ⊆ Aut C₃₆	288		C36.1D4	288,16
C₃₆.₂D₄ = C₁₈.D₈	φ: D₄/C₂ → C₂² ⊆ Aut C₃₆	144		C36.2D4	288,17
C₃₆.₃D₄ = C₉:D₁₆	φ: D₄/C₂ → C₂² ⊆ Aut C₃₆	144	4+	C36.3D4	288,33
C₃₆.₄D₄ = D₈.D₉	φ: D₄/C₂ → C₂² ⊆ Aut C₃₆	144	4-	C36.4D4	288,34
C₃₆.₅D₄ = C₉:SD₃₂	φ: D₄/C₂ → C₂² ⊆ Aut C₃₆	144	4+	C36.5D4	288,35
C₃₆.₆D₄ = C₉:Q₃₂	φ: D₄/C₂ → C₂² ⊆ Aut C₃₆	288	4-	C36.6D4	288,36
C₃₆.₇D₄ = C₃₆.D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₃₆	72	4	C36.7D4	288,39
C₃₆.₈D₄ = D₄:Dic₉	φ: D₄/C₂ → C₂² ⊆ Aut C₃₆	144		C36.8D4	288,40
C₃₆.₉D₄ = C₃₆.₉D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₃₆	144	4	C36.9D4	288,42
C₃₆.₁₀D₄ = Q₈:₂Dic₉	φ: D₄/C₂ → C₂² ⊆ Aut C₃₆	288		C36.10D4	288,43
C₃₆.₁₁D₄ = D₁₈:₂Q₈	φ: D₄/C₂ → C₂² ⊆ Aut C₃₆	144		C36.11D4	288,107
C₃₆.₁₂D₄ = C₈:D₁₈	φ: D₄/C₂ → C₂² ⊆ Aut C₃₆	72	4+	C36.12D4	288,118
C₃₆.₁₃D₄ = C₈.D₁₈	φ: D₄/C₂ → C₂² ⊆ Aut C₃₆	144	4-	C36.13D4	288,119
C₃₆.₁₄D₄ = C₂xD₄.D₉	φ: D₄/C₂ → C₂² ⊆ Aut C₃₆	144		C36.14D4	288,141
C₃₆.₁₅D₄ = C₂xD₄:D₉	φ: D₄/C₂ → C₂² ⊆ Aut C₃₆	144		C36.15D4	288,142
C₃₆.₁₆D₄ = D₃₆:₆C₂²	φ: D₄/C₂ → C₂² ⊆ Aut C₃₆	72	4	C36.16D4	288,143
C₃₆.₁₇D₄ = C₃₆.₁₇D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₃₆	144		C36.17D4	288,146
C₃₆.₁₈D₄ = C₂xC₉:Q₁₆	φ: D₄/C₂ → C₂² ⊆ Aut C₃₆	288		C36.18D4	288,151
C₃₆.₁₉D₄ = C₂xQ₈:₂D₉	φ: D₄/C₂ → C₂² ⊆ Aut C₃₆	144		C36.19D4	288,152
C₃₆.₂₀D₄ = C₃₆.C₂³	φ: D₄/C₂ → C₂² ⊆ Aut C₃₆	144	4	C36.20D4	288,153
C₃₆.₂₁D₄ = Dic₉:Q₈	φ: D₄/C₂ → C₂² ⊆ Aut C₃₆	288		C36.21D4	288,154
C₃₆.₂₂D₄ = D₁₈:₃Q₈	φ: D₄/C₂ → C₂² ⊆ Aut C₃₆	144		C36.22D4	288,156
C₃₆.₂₃D₄ = C₃₆.₂₃D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₃₆	144		C36.23D4	288,157
C₃₆.₂₄D₄ = D₁₄₄	φ: D₄/C₄ → C₂ ⊆ Aut C₃₆	144	2+	C36.24D4	288,6
C₃₆.₂₅D₄ = C₁₄₄:C₂	φ: D₄/C₄ → C₂ ⊆ Aut C₃₆	144	2	C36.25D4	288,7
C₃₆.₂₆D₄ = Dic₇₂	φ: D₄/C₄ → C₂ ⊆ Aut C₃₆	288	2-	C36.26D4	288,8
C₃₆.₂₇D₄ = C₃₆:₂Q₈	φ: D₄/C₄ → C₂ ⊆ Aut C₃₆	288		C36.27D4	288,79
C₃₆.₂₈D₄ = C₄²:₇D₉	φ: D₄/C₄ → C₂ ⊆ Aut C₃₆	144		C36.28D4	288,85
C₃₆.₂₉D₄ = C₂xDic₃₆	φ: D₄/C₄ → C₂ ⊆ Aut C₃₆	288		C36.29D4	288,109
C₃₆.₃₀D₄ = C₂xC₇₂:C₂	φ: D₄/C₄ → C₂ ⊆ Aut C₃₆	144		C36.30D4	288,113
C₃₆.₃₁D₄ = C₂xD₇₂	φ: D₄/C₄ → C₂ ⊆ Aut C₃₆	144		C36.31D4	288,114
C₃₆.₃₂D₄ = C₃₆:C₈	φ: D₄/C₄ → C₂ ⊆ Aut C₃₆	288		C36.32D4	288,11
C₃₆.₃₃D₄ = C₄²:₄D₉	φ: D₄/C₄ → C₂ ⊆ Aut C₃₆	72	2	C36.33D4	288,12
C₃₆.₃₄D₄ = C₇₂.C₄	φ: D₄/C₄ → C₂ ⊆ Aut C₃₆	144	2	C36.34D4	288,20
C₃₆.₃₅D₄ = D₁₈:C₈	φ: D₄/C₄ → C₂ ⊆ Aut C₃₆	144		C36.35D4	288,27
C₃₆.₃₆D₄ = D₇₂:₇C₂	φ: D₄/C₄ → C₂ ⊆ Aut C₃₆	144	2	C36.36D4	288,115
C₃₆.₃₇D₄ = C₉xD₁₆	φ: D₄/C₄ → C₂ ⊆ Aut C₃₆	144	2	C36.37D4	288,61
C₃₆.₃₈D₄ = C₉xSD₃₂	φ: D₄/C₄ → C₂ ⊆ Aut C₃₆	144	2	C36.38D4	288,62
C₃₆.₃₉D₄ = C₉xQ₃₂	φ: D₄/C₄ → C₂ ⊆ Aut C₃₆	288	2	C36.39D4	288,63
C₃₆.₄₀D₄ = C₉xC₄.₄D₄	φ: D₄/C₄ → C₂ ⊆ Aut C₃₆	144		C36.40D4	288,174
C₃₆.₄₁D₄ = C₉xC₄:Q₈	φ: D₄/C₄ → C₂ ⊆ Aut C₃₆	288		C36.41D4	288,178
C₃₆.₄₂D₄ = D₈xC₁₈	φ: D₄/C₄ → C₂ ⊆ Aut C₃₆	144		C36.42D4	288,182
C₃₆.₄₃D₄ = SD₁₆xC₁₈	φ: D₄/C₄ → C₂ ⊆ Aut C₃₆	144		C36.43D4	288,183
C₃₆.₄₄D₄ = Q₁₆xC₁₈	φ: D₄/C₄ → C₂ ⊆ Aut C₃₆	288		C36.44D4	288,184
C₃₆.₄₅D₄ = C₃₆.₄₅D₄	φ: D₄/C₂² → C₂ ⊆ Aut C₃₆	288		C36.45D4	288,24
C₃₆.₄₆D₄ = C₂.D₇₂	φ: D₄/C₂² → C₂ ⊆ Aut C₃₆	144		C36.46D4	288,28
C₃₆.₄₇D₄ = C₄.D₃₆	φ: D₄/C₂² → C₂ ⊆ Aut C₃₆	144	4-	C36.47D4	288,30
C₃₆.₄₈D₄ = C₃₆.₄₈D₄	φ: D₄/C₂² → C₂ ⊆ Aut C₃₆	72	4+	C36.48D4	288,31
C₃₆.₄₉D₄ = C₃₆.₄₉D₄	φ: D₄/C₂² → C₂ ⊆ Aut C₃₆	144		C36.49D4	288,134
C₃₆.₅₀D₄ = D₄.D₁₈	φ: D₄/C₂² → C₂ ⊆ Aut C₃₆	144	4-	C36.50D4	288,159
C₃₆.₅₁D₄ = D₄:D₁₈	φ: D₄/C₂² → C₂ ⊆ Aut C₃₆	72	4+	C36.51D4	288,160
C₃₆.₅₂D₄ = Dic₉:C₈	φ: D₄/C₂² → C₂ ⊆ Aut C₃₆	288		C36.52D4	288,22
C₃₆.₅₃D₄ = C₃₆.₅₃D₄	φ: D₄/C₂² → C₂ ⊆ Aut C₃₆	144	4	C36.53D4	288,29
C₃₆.₅₄D₄ = Dic₁₈:C₄	φ: D₄/C₂² → C₂ ⊆ Aut C₃₆	72	4	C36.54D4	288,32
C₃₆.₅₅D₄ = C₃₆.₅₅D₄	φ: D₄/C₂² → C₂ ⊆ Aut C₃₆	144		C36.55D4	288,37
C₃₆.₅₆D₄ = Q₈:₃Dic₉	φ: D₄/C₂² → C₂ ⊆ Aut C₃₆	72	4	C36.56D4	288,44
C₃₆.₅₇D₄ = D₄.₉D₁₈	φ: D₄/C₂² → C₂ ⊆ Aut C₃₆	144	4	C36.57D4	288,161
C₃₆.₅₈D₄ = C₉xC₄.D₄	φ: D₄/C₂² → C₂ ⊆ Aut C₃₆	72	4	C36.58D4	288,50
C₃₆.₅₉D₄ = C₉xC₄.₁₀D₄	φ: D₄/C₂² → C₂ ⊆ Aut C₃₆	144	4	C36.59D4	288,51
C₃₆.₆₀D₄ = C₉xD₄:C₄	φ: D₄/C₂² → C₂ ⊆ Aut C₃₆	144		C36.60D4	288,52
C₃₆.₆₁D₄ = C₉xQ₈:C₄	φ: D₄/C₂² → C₂ ⊆ Aut C₃₆	288		C36.61D4	288,53
C₃₆.₆₂D₄ = C₉xC₂²:Q₈	φ: D₄/C₂² → C₂ ⊆ Aut C₃₆	144		C36.62D4	288,172
C₃₆.₆₃D₄ = C₉xC₈:C₂²	φ: D₄/C₂² → C₂ ⊆ Aut C₃₆	72	4	C36.63D4	288,186
C₃₆.₆₄D₄ = C₉xC₈.C₂²	φ: D₄/C₂² → C₂ ⊆ Aut C₃₆	144	4	C36.64D4	288,187
C₃₆.₆₅D₄ = C₉xC₂²:C₈	central extension (φ=1)	144		C36.65D4	288,48
C₃₆.₆₆D₄ = C₉xC₄wrC₂	central extension (φ=1)	72	2	C36.66D4	288,54
C₃₆.₆₇D₄ = C₉xC₄:C₈	central extension (φ=1)	288		C36.67D4	288,55
C₃₆.₆₈D₄ = C₉xC₈.C₄	central extension (φ=1)	144	2	C36.68D4	288,58
C₃₆.₆₉D₄ = C₉xC₄oD₈	central extension (φ=1)	144	2	C36.69D4	288,185

Extensions 1→N→G→Q→1 with N=C36 and Q=D4

Extensions 1→N→G→Q→1 with N=C₃₆ and Q=D₄