Extensions 1→N→G→Q→1 with N=C₁₂ and Q=D₁₈

Direct product G=N×Q with N=C₁₂ and Q=D₁₈

		d	ρ	Label	ID
D₉×C₂×C₁₂		144		D9xC2xC12	432,342

Semidirect products G=N:Q with N=C₁₂ and Q=D₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂⋊₁D₁₈ = S₃×D₃₆	φ: D₁₈/C₉ → C₂² ⊆ Aut C₁₂	72	4+	C12:1D18	432,291
C₁₂⋊₂D₁₈ = C₃₆⋊D₆	φ: D₁₈/C₉ → C₂² ⊆ Aut C₁₂	72	4	C12:2D18	432,293
C₁₂⋊₃D₁₈ = D₄×C₉⋊S₃	φ: D₁₈/C₉ → C₂² ⊆ Aut C₁₂	108		C12:3D18	432,388
C₁₂⋊₄D₁₈ = D₉×D₁₂	φ: D₁₈/D₉ → C₂ ⊆ Aut C₁₂	72	4+	C12:4D18	432,292
C₁₂⋊₅D₁₈ = C₄×S₃×D₉	φ: D₁₈/D₉ → C₂ ⊆ Aut C₁₂	72	4	C12:5D18	432,290
C₁₂⋊₆D₁₈ = C₃×D₄×D₉	φ: D₁₈/D₉ → C₂ ⊆ Aut C₁₂	72	4	C12:6D18	432,356
C₁₂⋊₇D₁₈ = C₂×C₃₆⋊S₃	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₁₂	216		C12:7D18	432,382
C₁₂⋊₈D₁₈ = C₂×C₄×C₉⋊S₃	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₁₂	216		C12:8D18	432,381
C₁₂⋊₉D₁₈ = C₆×D₃₆	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₁₂	144		C12:9D18	432,343

Non-split extensions G=N.Q with N=C₁₂ and Q=D₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂.₁D₁₈ = D₄.D₂₇	φ: D₁₈/C₉ → C₂² ⊆ Aut C₁₂	216	4-	C12.1D18	432,15
C₁₂.₂D₁₈ = D₄⋊D₂₇	φ: D₁₈/C₉ → C₂² ⊆ Aut C₁₂	216	4+	C12.2D18	432,16
C₁₂.₃D₁₈ = C₂₇⋊Q₁₆	φ: D₁₈/C₉ → C₂² ⊆ Aut C₁₂	432	4-	C12.3D18	432,17
C₁₂.₄D₁₈ = Q₈⋊₂D₂₇	φ: D₁₈/C₉ → C₂² ⊆ Aut C₁₂	216	4+	C12.4D18	432,18
C₁₂.₅D₁₈ = D₄×D₂₇	φ: D₁₈/C₉ → C₂² ⊆ Aut C₁₂	108	4+	C12.5D18	432,47
C₁₂.₆D₁₈ = D₄⋊₂D₂₇	φ: D₁₈/C₉ → C₂² ⊆ Aut C₁₂	216	4-	C12.6D18	432,48
C₁₂.₇D₁₈ = Q₈×D₂₇	φ: D₁₈/C₉ → C₂² ⊆ Aut C₁₂	216	4-	C12.7D18	432,49
C₁₂.₈D₁₈ = Q₈⋊₃D₂₇	φ: D₁₈/C₉ → C₂² ⊆ Aut C₁₂	216	4+	C12.8D18	432,50
C₁₂.₉D₁₈ = D₃₆.S₃	φ: D₁₈/C₉ → C₂² ⊆ Aut C₁₂	144	4-	C12.9D18	432,62
C₁₂.₁₀D₁₈ = C₆.D₃₆	φ: D₁₈/C₉ → C₂² ⊆ Aut C₁₂	72	4+	C12.10D18	432,63
C₁₂.₁₁D₁₈ = C₃⋊D₇₂	φ: D₁₈/C₉ → C₂² ⊆ Aut C₁₂	72	4+	C12.11D18	432,64
C₁₂.₁₂D₁₈ = C₃⋊Dic₃₆	φ: D₁₈/C₉ → C₂² ⊆ Aut C₁₂	144	4-	C12.12D18	432,65
C₁₂.₁₃D₁₈ = D₃₆⋊S₃	φ: D₁₈/C₉ → C₂² ⊆ Aut C₁₂	144	4	C12.13D18	432,68
C₁₂.₁₄D₁₈ = D₁₂.D₉	φ: D₁₈/C₉ → C₂² ⊆ Aut C₁₂	144	4	C12.14D18	432,70
C₁₂.₁₅D₁₈ = Dic₆⋊D₉	φ: D₁₈/C₉ → C₂² ⊆ Aut C₁₂	144	4	C12.15D18	432,72
C₁₂.₁₆D₁₈ = C₁₂.D₁₈	φ: D₁₈/C₉ → C₂² ⊆ Aut C₁₂	144	4	C12.16D18	432,74
C₁₂.₁₇D₁₈ = C₃₆.₁₇D₆	φ: D₁₈/C₉ → C₂² ⊆ Aut C₁₂	216		C12.17D18	432,190
C₁₂.₁₈D₁₈ = C₃₆.₁₈D₆	φ: D₁₈/C₉ → C₂² ⊆ Aut C₁₂	216		C12.18D18	432,191
C₁₂.₁₉D₁₈ = C₃₆.₁₉D₆	φ: D₁₈/C₉ → C₂² ⊆ Aut C₁₂	432		C12.19D18	432,194
C₁₂.₂₀D₁₈ = C₃₆.₂₀D₆	φ: D₁₈/C₉ → C₂² ⊆ Aut C₁₂	216		C12.20D18	432,195
C₁₂.₂₁D₁₈ = D₁₈.D₆	φ: D₁₈/C₉ → C₂² ⊆ Aut C₁₂	72	4	C12.21D18	432,281
C₁₂.₂₂D₁₈ = Dic₁₈⋊S₃	φ: D₁₈/C₉ → C₂² ⊆ Aut C₁₂	72	4	C12.22D18	432,283
C₁₂.₂₃D₁₈ = S₃×Dic₁₈	φ: D₁₈/C₉ → C₂² ⊆ Aut C₁₂	144	4-	C12.23D18	432,284
C₁₂.₂₄D₁₈ = D₁₂⋊D₉	φ: D₁₈/C₉ → C₂² ⊆ Aut C₁₂	72	4	C12.24D18	432,286
C₁₂.₂₅D₁₈ = D₃₆⋊₅S₃	φ: D₁₈/C₉ → C₂² ⊆ Aut C₁₂	144	4-	C12.25D18	432,288
C₁₂.₂₆D₁₈ = Dic₉.D₆	φ: D₁₈/C₉ → C₂² ⊆ Aut C₁₂	72	4+	C12.26D18	432,289
C₁₂.₂₇D₁₈ = C₃₆.₂₇D₆	φ: D₁₈/C₉ → C₂² ⊆ Aut C₁₂	216		C12.27D18	432,389
C₁₂.₂₈D₁₈ = Q₈×C₉⋊S₃	φ: D₁₈/C₉ → C₂² ⊆ Aut C₁₂	216		C12.28D18	432,392
C₁₂.₂₉D₁₈ = C₃₆.₂₉D₆	φ: D₁₈/C₉ → C₂² ⊆ Aut C₁₂	216		C12.29D18	432,393
C₁₂.₃₀D₁₈ = C₉⋊D₂₄	φ: D₁₈/D₉ → C₂ ⊆ Aut C₁₂	72	4+	C12.30D18	432,69
C₁₂.₃₁D₁₈ = C₃₆.D₆	φ: D₁₈/D₉ → C₂ ⊆ Aut C₁₂	144	4-	C12.31D18	432,71
C₁₂.₃₂D₁₈ = C₁₈.D₁₂	φ: D₁₈/D₉ → C₂ ⊆ Aut C₁₂	72	4+	C12.32D18	432,73
C₁₂.₃₃D₁₈ = C₉⋊Dic₁₂	φ: D₁₈/D₉ → C₂ ⊆ Aut C₁₂	144	4-	C12.33D18	432,75
C₁₂.₃₄D₁₈ = D₉×Dic₆	φ: D₁₈/D₉ → C₂ ⊆ Aut C₁₂	144	4-	C12.34D18	432,280
C₁₂.₃₅D₁₈ = Dic₆⋊₅D₉	φ: D₁₈/D₉ → C₂ ⊆ Aut C₁₂	72	4+	C12.35D18	432,282
C₁₂.₃₆D₁₈ = D₁₂⋊₅D₉	φ: D₁₈/D₉ → C₂ ⊆ Aut C₁₂	144	4-	C12.36D18	432,285
C₁₂.₃₇D₁₈ = D₉×C₃⋊C₈	φ: D₁₈/D₉ → C₂ ⊆ Aut C₁₂	144	4	C12.37D18	432,58
C₁₂.₃₈D₁₈ = C₃₆.₃₈D₆	φ: D₁₈/D₉ → C₂ ⊆ Aut C₁₂	72	4	C12.38D18	432,59
C₁₂.₃₉D₁₈ = C₃₆.₃₉D₆	φ: D₁₈/D₉ → C₂ ⊆ Aut C₁₂	144	4	C12.39D18	432,60
C₁₂.₄₀D₁₈ = C₃₆.₄₀D₆	φ: D₁₈/D₉ → C₂ ⊆ Aut C₁₂	72	4	C12.40D18	432,61
C₁₂.₄₁D₁₈ = S₃×C₉⋊C₈	φ: D₁₈/D₉ → C₂ ⊆ Aut C₁₂	144	4	C12.41D18	432,66
C₁₂.₄₂D₁₈ = D₆.Dic₉	φ: D₁₈/D₉ → C₂ ⊆ Aut C₁₂	144	4	C12.42D18	432,67
C₁₂.₄₃D₁₈ = D₆.D₁₈	φ: D₁₈/D₉ → C₂ ⊆ Aut C₁₂	72	4	C12.43D18	432,287
C₁₂.₄₄D₁₈ = C₃×D₄.D₉	φ: D₁₈/D₉ → C₂ ⊆ Aut C₁₂	72	4	C12.44D18	432,148
C₁₂.₄₅D₁₈ = C₃×D₄⋊D₉	φ: D₁₈/D₉ → C₂ ⊆ Aut C₁₂	72	4	C12.45D18	432,149
C₁₂.₄₆D₁₈ = C₃×C₉⋊Q₁₆	φ: D₁₈/D₉ → C₂ ⊆ Aut C₁₂	144	4	C12.46D18	432,156
C₁₂.₄₇D₁₈ = C₃×Q₈⋊₂D₉	φ: D₁₈/D₉ → C₂ ⊆ Aut C₁₂	144	4	C12.47D18	432,157
C₁₂.₄₈D₁₈ = C₃×D₄⋊₂D₉	φ: D₁₈/D₉ → C₂ ⊆ Aut C₁₂	72	4	C12.48D18	432,357
C₁₂.₄₉D₁₈ = C₃×Q₈×D₉	φ: D₁₈/D₉ → C₂ ⊆ Aut C₁₂	144	4	C12.49D18	432,364
C₁₂.₅₀D₁₈ = C₃×Q₈⋊₃D₉	φ: D₁₈/D₉ → C₂ ⊆ Aut C₁₂	144	4	C12.50D18	432,365
C₁₂.₅₁D₁₈ = Dic₁₀₈	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₁₂	432	2-	C12.51D18	432,4
C₁₂.₅₂D₁₈ = C₂₁₆⋊C₂	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₁₂	216	2	C12.52D18	432,7
C₁₂.₅₃D₁₈ = D₂₁₆	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₁₂	216	2+	C12.53D18	432,8
C₁₂.₅₄D₁₈ = C₂×Dic₅₄	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₁₂	432		C12.54D18	432,43
C₁₂.₅₅D₁₈ = C₂×D₁₀₈	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₁₂	216		C12.55D18	432,45
C₁₂.₅₆D₁₈ = C₂₄.D₉	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₁₂	432		C12.56D18	432,168
C₁₂.₅₇D₁₈ = C₂₄⋊D₉	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₁₂	216		C12.57D18	432,171
C₁₂.₅₈D₁₈ = C₇₂⋊₁S₃	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₁₂	216		C12.58D18	432,172
C₁₂.₅₉D₁₈ = C₂×C₁₂.D₉	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₁₂	432		C12.59D18	432,380
C₁₂.₆₀D₁₈ = C₈×D₂₇	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₁₂	216	2	C12.60D18	432,5
C₁₂.₆₁D₁₈ = C₈⋊D₂₇	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₁₂	216	2	C12.61D18	432,6
C₁₂.₆₂D₁₈ = C₂×C₂₇⋊C₈	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₁₂	432		C12.62D18	432,9
C₁₂.₆₃D₁₈ = C₄.Dic₂₇	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₁₂	216	2	C12.63D18	432,10
C₁₂.₆₄D₁₈ = C₂×C₄×D₂₇	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₁₂	216		C12.64D18	432,44
C₁₂.₆₅D₁₈ = D₁₀₈⋊₅C₂	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₁₂	216	2	C12.65D18	432,46
C₁₂.₆₆D₁₈ = C₈×C₉⋊S₃	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₁₂	216		C12.66D18	432,169
C₁₂.₆₇D₁₈ = C₇₂⋊S₃	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₁₂	216		C12.67D18	432,170
C₁₂.₆₈D₁₈ = C₂×C₃₆.S₃	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₁₂	432		C12.68D18	432,178
C₁₂.₆₉D₁₈ = C₃₆.₆₉D₆	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₁₂	216		C12.69D18	432,179
C₁₂.₇₀D₁₈ = C₃₆.₇₀D₆	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₁₂	216		C12.70D18	432,383
C₁₂.₇₁D₁₈ = C₃×Dic₃₆	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₁₂	144	2	C12.71D18	432,104
C₁₂.₇₂D₁₈ = C₃×C₇₂⋊C₂	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₁₂	144	2	C12.72D18	432,107
C₁₂.₇₃D₁₈ = C₃×D₇₂	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₁₂	144	2	C12.73D18	432,108
C₁₂.₇₄D₁₈ = C₆×Dic₁₈	φ: D₁₈/C₁₈ → C₂ ⊆ Aut C₁₂	144		C12.74D18	432,340
C₁₂.₇₅D₁₈ = D₉×C₂₄	central extension (φ=1)	144	2	C12.75D18	432,105
C₁₂.₇₆D₁₈ = C₃×C₈⋊D₉	central extension (φ=1)	144	2	C12.76D18	432,106
C₁₂.₇₇D₁₈ = C₆×C₉⋊C₈	central extension (φ=1)	144		C12.77D18	432,124
C₁₂.₇₈D₁₈ = C₃×C₄.Dic₉	central extension (φ=1)	72	2	C12.78D18	432,125
C₁₂.₇₉D₁₈ = C₃×D₃₆⋊₅C₂	central extension (φ=1)	72	2	C12.79D18	432,344

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Extensions 1→N→G→Q→1 with N=C12 and Q=D18

Extensions 1→N→G→Q→1 with N=C₁₂ and Q=D₁₈