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

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

		d	ρ	Label	ID
D₄×C₃₆		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 = C₄×D₃₆	φ: D₄/C₄ → C₂ ⊆ Aut C₃₆	144	C36:5D4	288,83
C₃₆⋊₆D₄ = C₉×C₄⋊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 = C₄×C₉⋊D₄	φ: D₄/C₂² → C₂ ⊆ Aut C₃₆	144	C36:8D4	288,138
C₃₆⋊₉D₄ = C₉×C₄⋊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 = C₂×D₄.D₉	φ: D₄/C₂ → C₂² ⊆ Aut C₃₆	144		C36.14D4	288,141
C₃₆.₁₅D₄ = C₂×D₄⋊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 = C₂×C₉⋊Q₁₆	φ: D₄/C₂ → C₂² ⊆ Aut C₃₆	288		C36.18D4	288,151
C₃₆.₁₉D₄ = C₂×Q₈⋊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 = C₂×Dic₃₆	φ: D₄/C₄ → C₂ ⊆ Aut C₃₆	288		C36.29D4	288,109
C₃₆.₃₀D₄ = C₂×C₇₂⋊C₂	φ: D₄/C₄ → C₂ ⊆ Aut C₃₆	144		C36.30D4	288,113
C₃₆.₃₁D₄ = C₂×D₇₂	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 = C₉×D₁₆	φ: D₄/C₄ → C₂ ⊆ Aut C₃₆	144	2	C36.37D4	288,61
C₃₆.₃₈D₄ = C₉×SD₃₂	φ: D₄/C₄ → C₂ ⊆ Aut C₃₆	144	2	C36.38D4	288,62
C₃₆.₃₉D₄ = C₉×Q₃₂	φ: D₄/C₄ → C₂ ⊆ Aut C₃₆	288	2	C36.39D4	288,63
C₃₆.₄₀D₄ = C₉×C₄.₄D₄	φ: D₄/C₄ → C₂ ⊆ Aut C₃₆	144		C36.40D4	288,174
C₃₆.₄₁D₄ = C₉×C₄⋊Q₈	φ: D₄/C₄ → C₂ ⊆ Aut C₃₆	288		C36.41D4	288,178
C₃₆.₄₂D₄ = D₈×C₁₈	φ: D₄/C₄ → C₂ ⊆ Aut C₃₆	144		C36.42D4	288,182
C₃₆.₄₃D₄ = SD₁₆×C₁₈	φ: D₄/C₄ → C₂ ⊆ Aut C₃₆	144		C36.43D4	288,183
C₃₆.₄₄D₄ = Q₁₆×C₁₈	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 = C₉×C₄.D₄	φ: D₄/C₂² → C₂ ⊆ Aut C₃₆	72	4	C36.58D4	288,50
C₃₆.₅₉D₄ = C₉×C₄.₁₀D₄	φ: D₄/C₂² → C₂ ⊆ Aut C₃₆	144	4	C36.59D4	288,51
C₃₆.₆₀D₄ = C₉×D₄⋊C₄	φ: D₄/C₂² → C₂ ⊆ Aut C₃₆	144		C36.60D4	288,52
C₃₆.₆₁D₄ = C₉×Q₈⋊C₄	φ: D₄/C₂² → C₂ ⊆ Aut C₃₆	288		C36.61D4	288,53
C₃₆.₆₂D₄ = C₉×C₂²⋊Q₈	φ: D₄/C₂² → C₂ ⊆ Aut C₃₆	144		C36.62D4	288,172
C₃₆.₆₃D₄ = C₉×C₈⋊C₂²	φ: D₄/C₂² → C₂ ⊆ Aut C₃₆	72	4	C36.63D4	288,186
C₃₆.₆₄D₄ = C₉×C₈.C₂²	φ: D₄/C₂² → C₂ ⊆ Aut C₃₆	144	4	C36.64D4	288,187
C₃₆.₆₅D₄ = C₉×C₂²⋊C₈	central extension (φ=1)	144		C36.65D4	288,48
C₃₆.₆₆D₄ = C₉×C₄≀C₂	central extension (φ=1)	72	2	C36.66D4	288,54
C₃₆.₆₇D₄ = C₉×C₄⋊C₈	central extension (φ=1)	288		C36.67D4	288,55
C₃₆.₆₈D₄ = C₉×C₈.C₄	central extension (φ=1)	144	2	C36.68D4	288,58
C₃₆.₆₉D₄ = C₉×C₄○D₈	central extension (φ=1)	144	2	C36.69D4	288,185

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

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