Extensions 1→N→G→Q→1 with N=C₃₆ and Q=D₆

Direct product G=N×Q with N=C₃₆ and Q=D₆

		d	ρ	Label	ID
S₃×C₂×C₃₆		144		S3xC2xC36	432,345

Semidirect products G=N:Q with N=C₃₆ and Q=D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₆⋊₁D₆ = D₉×D₁₂	φ: D₆/C₃ → C₂² ⊆ Aut C₃₆	72	4+	C36:1D6	432,292
C₃₆⋊₂D₆ = C₃₆⋊D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₃₆	72	4	C36:2D6	432,293
C₃₆⋊₃D₆ = D₄×C₉⋊S₃	φ: D₆/C₃ → C₂² ⊆ Aut C₃₆	108		C36:3D6	432,388
C₃₆⋊₄D₆ = S₃×D₃₆	φ: D₆/S₃ → C₂ ⊆ Aut C₃₆	72	4+	C36:4D6	432,291
C₃₆⋊₅D₆ = C₄×S₃×D₉	φ: D₆/S₃ → C₂ ⊆ Aut C₃₆	72	4	C36:5D6	432,290
C₃₆⋊₆D₆ = S₃×D₄×C₉	φ: D₆/S₃ → C₂ ⊆ Aut C₃₆	72	4	C36:6D6	432,358
C₃₆⋊₇D₆ = C₂×C₃₆⋊S₃	φ: D₆/C₆ → C₂ ⊆ Aut C₃₆	216		C36:7D6	432,382
C₃₆⋊₈D₆ = C₂×C₄×C₉⋊S₃	φ: D₆/C₆ → C₂ ⊆ Aut C₃₆	216		C36:8D6	432,381
C₃₆⋊₉D₆ = C₁₈×D₁₂	φ: D₆/C₆ → C₂ ⊆ Aut C₃₆	144		C36:9D6	432,346

Non-split extensions G=N.Q with N=C₃₆ and Q=D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₆.₁D₆ = D₄.D₂₇	φ: D₆/C₃ → C₂² ⊆ Aut C₃₆	216	4-	C36.1D6	432,15
C₃₆.₂D₆ = D₄⋊D₂₇	φ: D₆/C₃ → C₂² ⊆ Aut C₃₆	216	4+	C36.2D6	432,16
C₃₆.₃D₆ = C₂₇⋊Q₁₆	φ: D₆/C₃ → C₂² ⊆ Aut C₃₆	432	4-	C36.3D6	432,17
C₃₆.₄D₆ = Q₈⋊₂D₂₇	φ: D₆/C₃ → C₂² ⊆ Aut C₃₆	216	4+	C36.4D6	432,18
C₃₆.₅D₆ = D₄×D₂₇	φ: D₆/C₃ → C₂² ⊆ Aut C₃₆	108	4+	C36.5D6	432,47
C₃₆.₆D₆ = D₄⋊₂D₂₇	φ: D₆/C₃ → C₂² ⊆ Aut C₃₆	216	4-	C36.6D6	432,48
C₃₆.₇D₆ = Q₈×D₂₇	φ: D₆/C₃ → C₂² ⊆ Aut C₃₆	216	4-	C36.7D6	432,49
C₃₆.₈D₆ = Q₈⋊₃D₂₇	φ: D₆/C₃ → C₂² ⊆ Aut C₃₆	216	4+	C36.8D6	432,50
C₃₆.₉D₆ = D₃₆⋊S₃	φ: D₆/C₃ → C₂² ⊆ Aut C₃₆	144	4	C36.9D6	432,68
C₃₆.₁₀D₆ = C₉⋊D₂₄	φ: D₆/C₃ → C₂² ⊆ Aut C₃₆	72	4+	C36.10D6	432,69
C₃₆.₁₁D₆ = D₁₂.D₉	φ: D₆/C₃ → C₂² ⊆ Aut C₃₆	144	4	C36.11D6	432,70
C₃₆.₁₂D₆ = C₃₆.D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₃₆	144	4-	C36.12D6	432,71
C₃₆.₁₃D₆ = Dic₆⋊D₉	φ: D₆/C₃ → C₂² ⊆ Aut C₃₆	144	4	C36.13D6	432,72
C₃₆.₁₄D₆ = C₁₈.D₁₂	φ: D₆/C₃ → C₂² ⊆ Aut C₃₆	72	4+	C36.14D6	432,73
C₃₆.₁₅D₆ = C₁₂.D₁₈	φ: D₆/C₃ → C₂² ⊆ Aut C₃₆	144	4	C36.15D6	432,74
C₃₆.₁₆D₆ = C₉⋊Dic₁₂	φ: D₆/C₃ → C₂² ⊆ Aut C₃₆	144	4-	C36.16D6	432,75
C₃₆.₁₇D₆ = C₃₆.₁₇D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₃₆	216		C36.17D6	432,190
C₃₆.₁₈D₆ = C₃₆.₁₈D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₃₆	216		C36.18D6	432,191
C₃₆.₁₉D₆ = C₃₆.₁₉D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₃₆	432		C36.19D6	432,194
C₃₆.₂₀D₆ = C₃₆.₂₀D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₃₆	216		C36.20D6	432,195
C₃₆.₂₁D₆ = D₉×Dic₆	φ: D₆/C₃ → C₂² ⊆ Aut C₃₆	144	4-	C36.21D6	432,280
C₃₆.₂₂D₆ = D₁₈.D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₃₆	72	4	C36.22D6	432,281
C₃₆.₂₃D₆ = Dic₆⋊₅D₉	φ: D₆/C₃ → C₂² ⊆ Aut C₃₆	72	4+	C36.23D6	432,282
C₃₆.₂₄D₆ = Dic₁₈⋊S₃	φ: D₆/C₃ → C₂² ⊆ Aut C₃₆	72	4	C36.24D6	432,283
C₃₆.₂₅D₆ = D₁₂⋊₅D₉	φ: D₆/C₃ → C₂² ⊆ Aut C₃₆	144	4-	C36.25D6	432,285
C₃₆.₂₆D₆ = D₁₂⋊D₉	φ: D₆/C₃ → C₂² ⊆ Aut C₃₆	72	4	C36.26D6	432,286
C₃₆.₂₇D₆ = C₃₆.₂₇D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₃₆	216		C36.27D6	432,389
C₃₆.₂₈D₆ = Q₈×C₉⋊S₃	φ: D₆/C₃ → C₂² ⊆ Aut C₃₆	216		C36.28D6	432,392
C₃₆.₂₉D₆ = C₃₆.₂₉D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₃₆	216		C36.29D6	432,393
C₃₆.₃₀D₆ = D₃₆.S₃	φ: D₆/S₃ → C₂ ⊆ Aut C₃₆	144	4-	C36.30D6	432,62
C₃₆.₃₁D₆ = C₆.D₃₆	φ: D₆/S₃ → C₂ ⊆ Aut C₃₆	72	4+	C36.31D6	432,63
C₃₆.₃₂D₆ = C₃⋊D₇₂	φ: D₆/S₃ → C₂ ⊆ Aut C₃₆	72	4+	C36.32D6	432,64
C₃₆.₃₃D₆ = C₃⋊Dic₃₆	φ: D₆/S₃ → C₂ ⊆ Aut C₃₆	144	4-	C36.33D6	432,65
C₃₆.₃₄D₆ = S₃×Dic₁₈	φ: D₆/S₃ → C₂ ⊆ Aut C₃₆	144	4-	C36.34D6	432,284
C₃₆.₃₅D₆ = D₃₆⋊₅S₃	φ: D₆/S₃ → C₂ ⊆ Aut C₃₆	144	4-	C36.35D6	432,288
C₃₆.₃₆D₆ = Dic₉.D₆	φ: D₆/S₃ → C₂ ⊆ Aut C₃₆	72	4+	C36.36D6	432,289
C₃₆.₃₇D₆ = D₉×C₃⋊C₈	φ: D₆/S₃ → C₂ ⊆ Aut C₃₆	144	4	C36.37D6	432,58
C₃₆.₃₈D₆ = C₃₆.₃₈D₆	φ: D₆/S₃ → C₂ ⊆ Aut C₃₆	72	4	C36.38D6	432,59
C₃₆.₃₉D₆ = C₃₆.₃₉D₆	φ: D₆/S₃ → C₂ ⊆ Aut C₃₆	144	4	C36.39D6	432,60
C₃₆.₄₀D₆ = C₃₆.₄₀D₆	φ: D₆/S₃ → C₂ ⊆ Aut C₃₆	72	4	C36.40D6	432,61
C₃₆.₄₁D₆ = S₃×C₉⋊C₈	φ: D₆/S₃ → C₂ ⊆ Aut C₃₆	144	4	C36.41D6	432,66
C₃₆.₄₂D₆ = D₆.Dic₉	φ: D₆/S₃ → C₂ ⊆ Aut C₃₆	144	4	C36.42D6	432,67
C₃₆.₄₃D₆ = D₆.D₁₈	φ: D₆/S₃ → C₂ ⊆ Aut C₃₆	72	4	C36.43D6	432,287
C₃₆.₄₄D₆ = C₉×D₄⋊S₃	φ: D₆/S₃ → C₂ ⊆ Aut C₃₆	72	4	C36.44D6	432,150
C₃₆.₄₅D₆ = C₉×D₄.S₃	φ: D₆/S₃ → C₂ ⊆ Aut C₃₆	72	4	C36.45D6	432,151
C₃₆.₄₆D₆ = C₉×Q₈⋊₂S₃	φ: D₆/S₃ → C₂ ⊆ Aut C₃₆	144	4	C36.46D6	432,158
C₃₆.₄₇D₆ = C₉×C₃⋊Q₁₆	φ: D₆/S₃ → C₂ ⊆ Aut C₃₆	144	4	C36.47D6	432,159
C₃₆.₄₈D₆ = C₉×D₄⋊₂S₃	φ: D₆/S₃ → C₂ ⊆ Aut C₃₆	72	4	C36.48D6	432,359
C₃₆.₄₉D₆ = S₃×Q₈×C₉	φ: D₆/S₃ → C₂ ⊆ Aut C₃₆	144	4	C36.49D6	432,366
C₃₆.₅₀D₆ = C₉×Q₈⋊₃S₃	φ: D₆/S₃ → C₂ ⊆ Aut C₃₆	144	4	C36.50D6	432,367
C₃₆.₅₁D₆ = Dic₁₀₈	φ: D₆/C₆ → C₂ ⊆ Aut C₃₆	432	2-	C36.51D6	432,4
C₃₆.₅₂D₆ = C₂₁₆⋊C₂	φ: D₆/C₆ → C₂ ⊆ Aut C₃₆	216	2	C36.52D6	432,7
C₃₆.₅₃D₆ = D₂₁₆	φ: D₆/C₆ → C₂ ⊆ Aut C₃₆	216	2+	C36.53D6	432,8
C₃₆.₅₄D₆ = C₂×Dic₅₄	φ: D₆/C₆ → C₂ ⊆ Aut C₃₆	432		C36.54D6	432,43
C₃₆.₅₅D₆ = C₂×D₁₀₈	φ: D₆/C₆ → C₂ ⊆ Aut C₃₆	216		C36.55D6	432,45
C₃₆.₅₆D₆ = C₂₄.D₉	φ: D₆/C₆ → C₂ ⊆ Aut C₃₆	432		C36.56D6	432,168
C₃₆.₅₇D₆ = C₂₄⋊D₉	φ: D₆/C₆ → C₂ ⊆ Aut C₃₆	216		C36.57D6	432,171
C₃₆.₅₈D₆ = C₇₂⋊₁S₃	φ: D₆/C₆ → C₂ ⊆ Aut C₃₆	216		C36.58D6	432,172
C₃₆.₅₉D₆ = C₂×C₁₂.D₉	φ: D₆/C₆ → C₂ ⊆ Aut C₃₆	432		C36.59D6	432,380
C₃₆.₆₀D₆ = C₈×D₂₇	φ: D₆/C₆ → C₂ ⊆ Aut C₃₆	216	2	C36.60D6	432,5
C₃₆.₆₁D₆ = C₈⋊D₂₇	φ: D₆/C₆ → C₂ ⊆ Aut C₃₆	216	2	C36.61D6	432,6
C₃₆.₆₂D₆ = C₂×C₂₇⋊C₈	φ: D₆/C₆ → C₂ ⊆ Aut C₃₆	432		C36.62D6	432,9
C₃₆.₆₃D₆ = C₄.Dic₂₇	φ: D₆/C₆ → C₂ ⊆ Aut C₃₆	216	2	C36.63D6	432,10
C₃₆.₆₄D₆ = C₂×C₄×D₂₇	φ: D₆/C₆ → C₂ ⊆ Aut C₃₆	216		C36.64D6	432,44
C₃₆.₆₅D₆ = D₁₀₈⋊₅C₂	φ: D₆/C₆ → C₂ ⊆ Aut C₃₆	216	2	C36.65D6	432,46
C₃₆.₆₆D₆ = C₈×C₉⋊S₃	φ: D₆/C₆ → C₂ ⊆ Aut C₃₆	216		C36.66D6	432,169
C₃₆.₆₇D₆ = C₇₂⋊S₃	φ: D₆/C₆ → C₂ ⊆ Aut C₃₆	216		C36.67D6	432,170
C₃₆.₆₈D₆ = C₂×C₃₆.S₃	φ: D₆/C₆ → C₂ ⊆ Aut C₃₆	432		C36.68D6	432,178
C₃₆.₆₉D₆ = C₃₆.₆₉D₆	φ: D₆/C₆ → C₂ ⊆ Aut C₃₆	216		C36.69D6	432,179
C₃₆.₇₀D₆ = C₃₆.₇₀D₆	φ: D₆/C₆ → C₂ ⊆ Aut C₃₆	216		C36.70D6	432,383
C₃₆.₇₁D₆ = C₉×C₂₄⋊C₂	φ: D₆/C₆ → C₂ ⊆ Aut C₃₆	144	2	C36.71D6	432,111
C₃₆.₇₂D₆ = C₉×D₂₄	φ: D₆/C₆ → C₂ ⊆ Aut C₃₆	144	2	C36.72D6	432,112
C₃₆.₇₃D₆ = C₉×Dic₁₂	φ: D₆/C₆ → C₂ ⊆ Aut C₃₆	144	2	C36.73D6	432,113
C₃₆.₇₄D₆ = C₁₈×Dic₆	φ: D₆/C₆ → C₂ ⊆ Aut C₃₆	144		C36.74D6	432,341
C₃₆.₇₅D₆ = C₉×C₄○D₁₂	φ: D₆/C₆ → C₂ ⊆ Aut C₃₆	72	2	C36.75D6	432,347
C₃₆.₇₆D₆ = S₃×C₇₂	central extension (φ=1)	144	2	C36.76D6	432,109
C₃₆.₇₇D₆ = C₉×C₈⋊S₃	central extension (φ=1)	144	2	C36.77D6	432,110
C₃₆.₇₈D₆ = C₁₈×C₃⋊C₈	central extension (φ=1)	144		C36.78D6	432,126
C₃₆.₇₉D₆ = C₉×C₄.Dic₃	central extension (φ=1)	72	2	C36.79D6	432,127

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Extensions 1→N→G→Q→1 with N=C36 and Q=D6

Extensions 1→N→G→Q→1 with N=C₃₆ and Q=D₆