Extensions 1→N→G→Q→1 with N=C₁₂ and Q=D₁₂

Direct product G=N×Q with N=C₁₂ and Q=D₁₂

		d	ρ	Label	ID
C₁₂×D₁₂		96		C12xD12	288,644

Semidirect products G=N:Q with N=C₁₂ and Q=D₁₂

extension	φ:Q→Aut N	d	Label	ID
C₁₂⋊₁D₁₂ = C₁₂⋊D₁₂	φ: D₁₂/C₆ → C₂² ⊆ Aut C₁₂	48	C12:1D12	288,559
C₁₂⋊₂D₁₂ = C₁₂⋊₂D₁₂	φ: D₁₂/C₆ → C₂² ⊆ Aut C₁₂	48	C12:2D12	288,564
C₁₂⋊₃D₁₂ = C₁₂⋊₃D₁₂	φ: D₁₂/C₆ → C₂² ⊆ Aut C₁₂	144	C12:3D12	288,752
C₁₂⋊₄D₁₂ = C₁₂⋊₄D₁₂	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₂	144	C12:4D12	288,731
C₁₂⋊₅D₁₂ = C₄×C₁₂⋊S₃	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₂	144	C12:5D12	288,730
C₁₂⋊₆D₁₂ = C₃×C₄⋊D₁₂	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₂	96	C12:6D12	288,645
C₁₂⋊₇D₁₂ = C₁₂⋊₇D₁₂	φ: D₁₂/D₆ → C₂ ⊆ Aut C₁₂	48	C12:7D12	288,557
C₁₂⋊₈D₁₂ = C₄×C₃⋊D₁₂	φ: D₁₂/D₆ → C₂ ⊆ Aut C₁₂	48	C12:8D12	288,551
C₁₂⋊₉D₁₂ = C₃×C₁₂⋊D₄	φ: D₁₂/D₆ → C₂ ⊆ Aut C₁₂	96	C12:9D12	288,666

Non-split extensions G=N.Q with N=C₁₂ and Q=D₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂.₁D₁₂ = C₁₈.Q₁₆	φ: D₁₂/C₆ → C₂² ⊆ Aut C₁₂	288		C12.1D12	288,16
C₁₂.₂D₁₂ = C₁₈.D₈	φ: D₁₂/C₆ → C₂² ⊆ Aut C₁₂	144		C12.2D12	288,17
C₁₂.₃D₁₂ = C₄.D₃₆	φ: D₁₂/C₆ → C₂² ⊆ Aut C₁₂	144	4-	C12.3D12	288,30
C₁₂.₄D₁₂ = C₃₆.₄₈D₄	φ: D₁₂/C₆ → C₂² ⊆ Aut C₁₂	72	4+	C12.4D12	288,31
C₁₂.₅D₁₂ = C₄⋊D₃₆	φ: D₁₂/C₆ → C₂² ⊆ Aut C₁₂	144		C12.5D12	288,105
C₁₂.₆D₁₂ = D₁₈⋊₂Q₈	φ: D₁₂/C₆ → C₂² ⊆ Aut C₁₂	144		C12.6D12	288,107
C₁₂.₇D₁₂ = C₈⋊D₁₈	φ: D₁₂/C₆ → C₂² ⊆ Aut C₁₂	72	4+	C12.7D12	288,118
C₁₂.₈D₁₂ = C₈.D₁₈	φ: D₁₂/C₆ → C₂² ⊆ Aut C₁₂	144	4-	C12.8D12	288,119
C₁₂.₉D₁₂ = C₃⋊D₄₈	φ: D₁₂/C₆ → C₂² ⊆ Aut C₁₂	48	4+	C12.9D12	288,194
C₁₂.₁₀D₁₂ = C₃²⋊₃SD₃₂	φ: D₁₂/C₆ → C₂² ⊆ Aut C₁₂	96	4-	C12.10D12	288,196
C₁₂.₁₁D₁₂ = C₂₄.₄₉D₆	φ: D₁₂/C₆ → C₂² ⊆ Aut C₁₂	48	4+	C12.11D12	288,197
C₁₂.₁₂D₁₂ = C₃²⋊₃Q₃₂	φ: D₁₂/C₆ → C₂² ⊆ Aut C₁₂	96	4-	C12.12D12	288,199
C₁₂.₁₃D₁₂ = C₁₂.D₁₂	φ: D₁₂/C₆ → C₂² ⊆ Aut C₁₂	48	4	C12.13D12	288,206
C₁₂.₁₄D₁₂ = C₁₂.₁₄D₁₂	φ: D₁₂/C₆ → C₂² ⊆ Aut C₁₂	48	4	C12.14D12	288,208
C₁₂.₁₅D₁₂ = D₁₂⋊₃Dic₃	φ: D₁₂/C₆ → C₂² ⊆ Aut C₁₂	96		C12.15D12	288,210
C₁₂.₁₆D₁₂ = Dic₆⋊Dic₃	φ: D₁₂/C₆ → C₂² ⊆ Aut C₁₂	96		C12.16D12	288,213
C₁₂.₁₇D₁₂ = C₆².₁₁₃D₄	φ: D₁₂/C₆ → C₂² ⊆ Aut C₁₂	144		C12.17D12	288,284
C₁₂.₁₈D₁₂ = C₆².₁₁₄D₄	φ: D₁₂/C₆ → C₂² ⊆ Aut C₁₂	288		C12.18D12	288,285
C₁₂.₁₉D₁₂ = C₁₂.₁₉D₁₂	φ: D₁₂/C₆ → C₂² ⊆ Aut C₁₂	72		C12.19D12	288,298
C₁₂.₂₀D₁₂ = C₁₂.₂₀D₁₂	φ: D₁₂/C₆ → C₂² ⊆ Aut C₁₂	144		C12.20D12	288,299
C₁₂.₂₁D₁₂ = C₂×C₃⋊D₂₄	φ: D₁₂/C₆ → C₂² ⊆ Aut C₁₂	48		C12.21D12	288,472
C₁₂.₂₂D₁₂ = C₂×D₁₂.S₃	φ: D₁₂/C₆ → C₂² ⊆ Aut C₁₂	96		C12.22D12	288,476
C₁₂.₂₃D₁₂ = D₁₂.₂₈D₆	φ: D₁₂/C₆ → C₂² ⊆ Aut C₁₂	48	4	C12.23D12	288,478
C₁₂.₂₄D₁₂ = C₂×C₃²⋊₅SD₁₆	φ: D₁₂/C₆ → C₂² ⊆ Aut C₁₂	48		C12.24D12	288,480
C₁₂.₂₅D₁₂ = Dic₆.₂₉D₆	φ: D₁₂/C₆ → C₂² ⊆ Aut C₁₂	48	4	C12.25D12	288,481
C₁₂.₂₆D₁₂ = C₂×C₃²⋊₃Q₁₆	φ: D₁₂/C₆ → C₂² ⊆ Aut C₁₂	96		C12.26D12	288,483
C₁₂.₂₇D₁₂ = C₁₂.₂₇D₁₂	φ: D₁₂/C₆ → C₂² ⊆ Aut C₁₂	96		C12.27D12	288,508
C₁₂.₂₈D₁₂ = C₁₂.₂₈D₁₂	φ: D₁₂/C₆ → C₂² ⊆ Aut C₁₂	48		C12.28D12	288,512
C₁₂.₂₉D₁₂ = Dic₃⋊Dic₆	φ: D₁₂/C₆ → C₂² ⊆ Aut C₁₂	96		C12.29D12	288,514
C₁₂.₃₀D₁₂ = C₁₂.₃₀D₁₂	φ: D₁₂/C₆ → C₂² ⊆ Aut C₁₂	48		C12.30D12	288,519
C₁₂.₃₁D₁₂ = C₁₂.₃₁D₁₂	φ: D₁₂/C₆ → C₂² ⊆ Aut C₁₂	144		C12.31D12	288,754
C₁₂.₃₂D₁₂ = C₂₄⋊₃D₆	φ: D₁₂/C₆ → C₂² ⊆ Aut C₁₂	72		C12.32D12	288,765
C₁₂.₃₃D₁₂ = C₂₄.₅D₆	φ: D₁₂/C₆ → C₂² ⊆ Aut C₁₂	144		C12.33D12	288,766
C₁₂.₃₄D₁₂ = D₁₄₄	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₂	144	2+	C12.34D12	288,6
C₁₂.₃₅D₁₂ = C₁₄₄⋊C₂	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₂	144	2	C12.35D12	288,7
C₁₂.₃₆D₁₂ = Dic₇₂	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₂	288	2-	C12.36D12	288,8
C₁₂.₃₇D₁₂ = C₃₆⋊₂Q₈	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₂	288		C12.37D12	288,79
C₁₂.₃₈D₁₂ = C₄²⋊₆D₉	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₂	144		C12.38D12	288,84
C₁₂.₃₉D₁₂ = C₄²⋊₇D₉	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₂	144		C12.39D12	288,85
C₁₂.₄₀D₁₂ = C₂×Dic₃₆	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₂	288		C12.40D12	288,109
C₁₂.₄₁D₁₂ = C₂×C₇₂⋊C₂	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₂	144		C12.41D12	288,113
C₁₂.₄₂D₁₂ = C₂×D₇₂	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₂	144		C12.42D12	288,114
C₁₂.₄₃D₁₂ = C₃²⋊₅D₁₆	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₂	144		C12.43D12	288,274
C₁₂.₄₄D₁₂ = C₆.D₂₄	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₂	144		C12.44D12	288,275
C₁₂.₄₅D₁₂ = C₃²⋊₅Q₃₂	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₂	288		C12.45D12	288,276
C₁₂.₄₆D₁₂ = C₁₂⋊₆Dic₆	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₂	288		C12.46D12	288,726
C₁₂.₄₇D₁₂ = C₁₂²⋊₆C₂	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₂	144		C12.47D12	288,732
C₁₂.₄₈D₁₂ = C₂×C₂₄⋊₂S₃	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₂	144		C12.48D12	288,759
C₁₂.₄₉D₁₂ = C₂×C₃²⋊₅D₈	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₂	144		C12.49D12	288,760
C₁₂.₅₀D₁₂ = C₂×C₃²⋊₅Q₁₆	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₂	288		C12.50D12	288,762
C₁₂.₅₁D₁₂ = C₃₆⋊C₈	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₂	288		C12.51D12	288,11
C₁₂.₅₂D₁₂ = C₄²⋊₄D₉	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₂	72	2	C12.52D12	288,12
C₁₂.₅₃D₁₂ = C₇₂.C₄	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₂	144	2	C12.53D12	288,20
C₁₂.₅₄D₁₂ = D₁₈⋊C₈	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₂	144		C12.54D12	288,27
C₁₂.₅₅D₁₂ = C₄×D₃₆	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₂	144		C12.55D12	288,83
C₁₂.₅₆D₁₂ = D₇₂⋊₇C₂	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₂	144	2	C12.56D12	288,115
C₁₂.₅₇D₁₂ = C₁₂.₅₇D₁₂	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₂	288		C12.57D12	288,279
C₁₂.₅₈D₁₂ = C₁₂²⋊C₂	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₂	72		C12.58D12	288,280
C₁₂.₅₉D₁₂ = C₁₂.₅₉D₁₂	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₂	144		C12.59D12	288,294
C₁₂.₆₀D₁₂ = C₁₂.₆₀D₁₂	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₂	144		C12.60D12	288,295
C₁₂.₆₁D₁₂ = C₂₄.₇₈D₆	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₂	144		C12.61D12	288,761
C₁₂.₆₂D₁₂ = C₃×D₄₈	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₂	96	2	C12.62D12	288,233
C₁₂.₆₃D₁₂ = C₃×C₄₈⋊C₂	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₂	96	2	C12.63D12	288,234
C₁₂.₆₄D₁₂ = C₃×Dic₂₄	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₂	96	2	C12.64D12	288,235
C₁₂.₆₅D₁₂ = C₃×C₁₂⋊₂Q₈	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₂	96		C12.65D12	288,640
C₁₂.₆₆D₁₂ = C₃×C₄²⋊₇S₃	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₂	96		C12.66D12	288,646
C₁₂.₆₇D₁₂ = C₆×C₂₄⋊C₂	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₂	96		C12.67D12	288,673
C₁₂.₆₈D₁₂ = C₆×D₂₄	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₂	96		C12.68D12	288,674
C₁₂.₆₉D₁₂ = C₆×Dic₁₂	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₂	96		C12.69D12	288,676
C₁₂.₇₀D₁₂ = C₁₂.₇₀D₁₂	φ: D₁₂/D₆ → C₂ ⊆ Aut C₁₂	24	4+	C12.70D12	288,207
C₁₂.₇₁D₁₂ = C₁₂.₇₁D₁₂	φ: D₁₂/D₆ → C₂ ⊆ Aut C₁₂	48	4-	C12.71D12	288,209
C₁₂.₇₂D₁₂ = C₆.₁₇D₂₄	φ: D₁₂/D₆ → C₂ ⊆ Aut C₁₂	48		C12.72D12	288,212
C₁₂.₇₃D₁₂ = C₁₂.₇₃D₁₂	φ: D₁₂/D₆ → C₂ ⊆ Aut C₁₂	96		C12.73D12	288,215
C₁₂.₇₄D₁₂ = D₁₂⋊₁₈D₆	φ: D₁₂/D₆ → C₂ ⊆ Aut C₁₂	24	4+	C12.74D12	288,473
C₁₂.₇₅D₁₂ = D₁₂.₂₉D₆	φ: D₁₂/D₆ → C₂ ⊆ Aut C₁₂	48	4-	C12.75D12	288,479
C₁₂.₇₆D₁₂ = D₆⋊₇Dic₆	φ: D₁₂/D₆ → C₂ ⊆ Aut C₁₂	96		C12.76D12	288,505
C₁₂.₇₇D₁₂ = C₁₂.₇₇D₁₂	φ: D₁₂/D₆ → C₂ ⊆ Aut C₁₂	96		C12.77D12	288,204
C₁₂.₇₈D₁₂ = C₁₂.₇₈D₁₂	φ: D₁₂/D₆ → C₂ ⊆ Aut C₁₂	48		C12.78D12	288,205
C₁₂.₇₉D₁₂ = D₁₂⋊₂Dic₃	φ: D₁₂/D₆ → C₂ ⊆ Aut C₁₂	48	4	C12.79D12	288,217
C₁₂.₈₀D₁₂ = C₁₂.₈₀D₁₂	φ: D₁₂/D₆ → C₂ ⊆ Aut C₁₂	48	4	C12.80D12	288,218
C₁₂.₈₁D₁₂ = C₁₂.₈₁D₁₂	φ: D₁₂/D₆ → C₂ ⊆ Aut C₁₂	96		C12.81D12	288,219
C₁₂.₈₂D₁₂ = C₁₂.₈₂D₁₂	φ: D₁₂/D₆ → C₂ ⊆ Aut C₁₂	48	4	C12.82D12	288,225
C₁₂.₈₃D₁₂ = D₁₂.₂₇D₆	φ: D₁₂/D₆ → C₂ ⊆ Aut C₁₂	48	4	C12.83D12	288,477
C₁₂.₈₄D₁₂ = C₃×C₆.D₈	φ: D₁₂/D₆ → C₂ ⊆ Aut C₁₂	96		C12.84D12	288,243
C₁₂.₈₅D₁₂ = C₃×C₆.SD₁₆	φ: D₁₂/D₆ → C₂ ⊆ Aut C₁₂	96		C12.85D12	288,244
C₁₂.₈₆D₁₂ = C₃×C₁₂.₄₆D₄	φ: D₁₂/D₆ → C₂ ⊆ Aut C₁₂	48	4	C12.86D12	288,257
C₁₂.₈₇D₁₂ = C₃×C₁₂.₄₇D₄	φ: D₁₂/D₆ → C₂ ⊆ Aut C₁₂	48	4	C12.87D12	288,258
C₁₂.₈₈D₁₂ = C₃×C₄.D₁₂	φ: D₁₂/D₆ → C₂ ⊆ Aut C₁₂	96		C12.88D12	288,668
C₁₂.₈₉D₁₂ = C₃×C₈⋊D₆	φ: D₁₂/D₆ → C₂ ⊆ Aut C₁₂	48	4	C12.89D12	288,679
C₁₂.₉₀D₁₂ = C₃×C₈.D₆	φ: D₁₂/D₆ → C₂ ⊆ Aut C₁₂	48	4	C12.90D12	288,680
C₁₂.₉₁D₁₂ = C₃×C₁₂⋊C₈	central extension (φ=1)	96		C12.91D12	288,238
C₁₂.₉₂D₁₂ = C₃×C₄²⋊₄S₃	central extension (φ=1)	24	2	C12.92D12	288,239
C₁₂.₉₃D₁₂ = C₃×C₂₄.C₄	central extension (φ=1)	48	2	C12.93D12	288,253
C₁₂.₉₄D₁₂ = C₃×D₆⋊C₈	central extension (φ=1)	96		C12.94D12	288,254
C₁₂.₉₅D₁₂ = C₃×C₄○D₂₄	central extension (φ=1)	48	2	C12.95D12	288,675

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C12 and Q=D12

Extensions 1→N→G→Q→1 with N=C₁₂ and Q=D₁₂