Extensions 1→N→G→Q→1 with N=C₄² and Q=D₆

Direct product G=N×Q with N=C₄² and Q=D₆

		d	ρ	Label	ID
S₃×C₂×C₄²		96		S3xC2xC4^2	192,1030

Semidirect products G=N:Q with N=C₄² and Q=D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄²⋊D₆ = C₄²⋊D₆	φ: D₆/C₁ → D₆ ⊆ Aut C₄²	12	6+	C4^2:D6	192,956
C₄²⋊₂D₆ = C₂×C₄²⋊S₃	φ: D₆/C₂ → S₃ ⊆ Aut C₄²	12	3	C4^2:2D6	192,944
C₄²⋊₃D₆ = C₄²⋊₃D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	48	4	C4^2:3D6	192,380
C₄²⋊₄D₆ = Q₈⋊₅D₁₂	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	24	4+	C4^2:4D6	192,381
C₄²⋊₅D₆ = C₄²⋊₅D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	48	4	C4^2:5D6	192,384
C₄²⋊₆D₆ = C₄²⋊₆D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	48	4	C4^2:6D6	192,564
C₄²⋊₇D₆ = C₄²⋊₇D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	48	4	C4^2:7D6	192,620
C₄²⋊₈D₆ = C₄²⋊₈D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	24	4	C4^2:8D6	192,636
C₄²⋊₉D₆ = C₄²⋊₉D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	48		C4^2:9D6	192,1080
C₄²⋊₁₀D₆ = C₄²⋊₁₀D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	48		C4^2:10D6	192,1083
C₄²⋊₁₁D₆ = C₄²⋊₁₁D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	48		C4^2:11D6	192,1084
C₄²⋊₁₂D₆ = C₄²⋊₁₂D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	48		C4^2:12D6	192,1086
C₄²⋊₁₃D₆ = C₄²⋊₁₃D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	48		C4^2:13D6	192,1104
C₄²⋊₁₄D₆ = C₄²⋊₁₄D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	48		C4^2:14D6	192,1106
C₄²⋊₁₅D₆ = D₄×D₁₂	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	48		C4^2:15D6	192,1108
C₄²⋊₁₆D₆ = D₁₂⋊₂₃D₄	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	48		C4^2:16D6	192,1109
C₄²⋊₁₇D₆ = D₄⋊₅D₁₂	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	48		C4^2:17D6	192,1113
C₄²⋊₁₈D₆ = C₄²⋊₁₈D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	48		C4^2:18D6	192,1115
C₄²⋊₁₉D₆ = C₄²⋊₁₉D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	48		C4^2:19D6	192,1119
C₄²⋊₂₀D₆ = C₄²⋊₂₀D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	48		C4^2:20D6	192,1233
C₄²⋊₂₁D₆ = D₁₂⋊₁₀D₄	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	48		C4^2:21D6	192,1235
C₄²⋊₂₂D₆ = C₄²⋊₂₂D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	48		C4^2:22D6	192,1237
C₄²⋊₂₃D₆ = C₄²⋊₂₃D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	48		C4^2:23D6	192,1238
C₄²⋊₂₄D₆ = C₄²⋊₂₄D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	48		C4^2:24D6	192,1242
C₄²⋊₂₅D₆ = C₄²⋊₂₅D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	48		C4^2:25D6	192,1263
C₄²⋊₂₆D₆ = C₄²⋊₂₆D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	48		C4^2:26D6	192,1264
C₄²⋊₂₇D₆ = C₄²⋊₂₇D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	48		C4^2:27D6	192,1270
C₄²⋊₂₈D₆ = C₄²⋊₂₈D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	48		C4^2:28D6	192,1274
C₄²⋊₂₉D₆ = D₁₂⋊₁₁D₄	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	48		C4^2:29D6	192,1276
C₄²⋊₃₀D₆ = C₄²⋊₃₀D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	48		C4^2:30D6	192,1279
C₄²⋊₃₁D₆ = S₃×C₄²⋊C₂	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	48		C4^2:31D6	192,1079
C₄²⋊₃₂D₆ = S₃×C₄²⋊₂C₂	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	48		C4^2:32D6	192,1262
C₄²⋊₃₃D₆ = S₃×C₄≀C₂	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	24	4	C4^2:33D6	192,379
C₄²⋊₃₄D₆ = C₄×S₃×D₄	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	48		C4^2:34D6	192,1103
C₄²⋊₃₅D₆ = S₃×C₄.₄D₄	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	48		C4^2:35D6	192,1232
C₄²⋊₃₆D₆ = S₃×C₄⋊₁D₄	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	48		C4^2:36D6	192,1273
C₄²⋊₃₇D₆ = C₂×C₄²⋊₂S₃	φ: D₆/C₆ → C₂ ⊆ Aut C₄²	96		C4^2:37D6	192,1031
C₄²⋊₃₈D₆ = C₂×C₄²⋊₃S₃	φ: D₆/C₆ → C₂ ⊆ Aut C₄²	96		C4^2:38D6	192,1037
C₄²⋊₃₉D₆ = C₂×C₄²⋊₄S₃	φ: D₆/C₆ → C₂ ⊆ Aut C₄²	48		C4^2:39D6	192,486
C₄²⋊₄₀D₆ = C₂×C₄×D₁₂	φ: D₆/C₆ → C₂ ⊆ Aut C₄²	96		C4^2:40D6	192,1032
C₄²⋊₄₁D₆ = C₂×C₄⋊D₁₂	φ: D₆/C₆ → C₂ ⊆ Aut C₄²	96		C4^2:41D6	192,1034
C₄²⋊₄₂D₆ = C₂×C₄²⋊₇S₃	φ: D₆/C₆ → C₂ ⊆ Aut C₄²	96		C4^2:42D6	192,1035

Non-split extensions G=N.Q with N=C₄² and Q=D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄².₁D₆ = C₄².D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.1D6	192,23
C₄².₂D₆ = C₄².₂D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	192		C4^2.2D6	192,24
C₄².₃D₆ = C₄.Dic₁₂	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	192		C4^2.3D6	192,40
C₄².₄D₆ = C₁₂.₄₇D₈	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	192		C4^2.4D6	192,41
C₄².₅D₆ = C₄.D₂₄	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.5D6	192,44
C₄².₆D₆ = C₁₂.₂D₈	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	192		C4^2.6D6	192,45
C₄².₇D₆ = C₄².₇D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.7D6	192,99
C₄².₈D₆ = C₄².₈D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	192		C4^2.8D6	192,102
C₄².₉D₆ = C₁₂.₉D₈	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.9D6	192,103
C₄².₁₀D₆ = C₁₂.₅Q₁₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	192		C4^2.10D6	192,105
C₄².₁₁D₆ = C₁₂.₁₀D₈	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	192		C4^2.11D6	192,106
C₄².₁₂D₆ = C₂₄⋊Q₈	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	192		C4^2.12D6	192,260
C₄².₁₃D₆ = C₈⋊Dic₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	192		C4^2.13D6	192,261
C₄².₁₄D₆ = C₄².₁₄D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	192		C4^2.14D6	192,262
C₄².₁₅D₆ = C₈⋊₉D₁₂	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.15D6	192,265
C₄².₁₆D₆ = C₄².₁₆D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.16D6	192,269
C₄².₁₇D₆ = D₂₄⋊C₄	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.17D6	192,270
C₄².₁₈D₆ = C₈⋊D₁₂	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.18D6	192,271
C₄².₁₉D₆ = C₄².₁₉D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.19D6	192,272
C₄².₂₀D₆ = C₄².₂₀D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.20D6	192,273
C₄².₂₁D₆ = C₈.D₁₂	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.21D6	192,274
C₄².₂₂D₆ = Dic₁₂⋊C₄	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	192		C4^2.22D6	192,275
C₄².₂₃D₆ = D₂₄⋊₄C₄	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	48	4	C4^2.23D6	192,276
C₄².₂₄D₆ = M₄(2).₂₂D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	48	4	C4^2.24D6	192,382
C₄².₂₅D₆ = Q₈.₁₄D₁₂	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	48	4-	C4^2.25D6	192,385
C₄².₂₆D₆ = D₄.₁₀D₁₂	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	48	4	C4^2.26D6	192,386
C₄².₂₇D₆ = C₄².₂₇D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	192		C4^2.27D6	192,387
C₄².₂₈D₆ = Dic₆.₃Q₈	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	192		C4^2.28D6	192,388
C₄².₂₉D₆ = D₆⋊₃M₄(2)	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.29D6	192,395
C₄².₃₀D₆ = C₄².₃₀D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.30D6	192,398
C₄².₃₁D₆ = C₄².₃₁D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.31D6	192,399
C₄².₃₂D₆ = C₁₂⋊SD₁₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.32D6	192,400
C₄².₃₃D₆ = D₁₂⋊₃Q₈	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.33D6	192,401
C₄².₃₄D₆ = C₄⋊D₂₄	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.34D6	192,402
C₄².₃₅D₆ = D₁₂.₁₉D₄	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.35D6	192,403
C₄².₃₆D₆ = C₄².₃₆D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.36D6	192,404
C₄².₃₇D₆ = D₁₂⋊₄Q₈	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.37D6	192,405
C₄².₃₈D₆ = D₁₂.₃Q₈	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.38D6	192,406
C₄².₃₉D₆ = Dic₆⋊₈D₄	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.39D6	192,407
C₄².₄₀D₆ = C₄⋊Dic₁₂	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	192		C4^2.40D6	192,408
C₄².₄₁D₆ = Dic₆⋊₃Q₈	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	192		C4^2.41D6	192,409
C₄².₄₂D₆ = Dic₆⋊₄Q₈	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	192		C4^2.42D6	192,410
C₄².₄₃D₆ = C₄².₄₃D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.43D6	192,558
C₄².₄₄D₆ = C₁₂.₅₀D₈	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.44D6	192,566
C₄².₄₅D₆ = C₁₂.₃₈SD₁₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.45D6	192,567
C₄².₄₆D₆ = D₄.₃Dic₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.46D6	192,568
C₄².₄₇D₆ = C₄².₄₇D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.47D6	192,570
C₄².₄₈D₆ = C₄².₄₈D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.48D6	192,573
C₄².₄₉D₆ = C₁₂⋊₇D₈	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.49D6	192,574
C₄².₅₀D₆ = D₄.₁D₁₂	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.50D6	192,575
C₄².₅₁D₆ = C₄².₅₁D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.51D6	192,577
C₄².₅₂D₆ = D₄.₂D₁₂	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.52D6	192,578
C₄².₅₃D₆ = Q₈⋊₄Dic₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	192		C4^2.53D6	192,579
C₄².₅₄D₆ = Q₈⋊₅Dic₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	192		C4^2.54D6	192,580
C₄².₅₅D₆ = Q₈.₅Dic₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	192		C4^2.55D6	192,581
C₄².₅₆D₆ = C₄².₅₆D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.56D6	192,585
C₄².₅₇D₆ = Q₈⋊₂D₁₂	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.57D6	192,586
C₄².₅₈D₆ = Q₈.₆D₁₂	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.58D6	192,587
C₄².₅₉D₆ = C₄².₅₉D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	192		C4^2.59D6	192,589
C₄².₆₀D₆ = C₁₂⋊₇Q₁₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	192		C4^2.60D6	192,590
C₄².₆₁D₆ = C₄².₆₁D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.61D6	192,613
C₄².₆₂D₆ = C₄².₆₂D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.62D6	192,614
C₄².₆₃D₆ = D₁₂.₂₃D₄	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.63D6	192,616
C₄².₆₄D₆ = C₄².₆₄D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.64D6	192,617
C₄².₆₅D₆ = C₄².₆₅D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.65D6	192,619
C₄².₆₆D₆ = D₁₂.₁₄D₄	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	48	4	C4^2.66D6	192,621
C₄².₆₇D₆ = Dic₆.₄Q₈	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	192		C4^2.67D6	192,622
C₄².₆₈D₆ = C₄².₆₈D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	192		C4^2.68D6	192,623
C₄².₆₉D₆ = D₁₂.₄Q₈	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.69D6	192,625
C₄².₇₀D₆ = C₄².₇₀D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.70D6	192,626
C₄².₇₁D₆ = C₄².₇₁D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	192		C4^2.71D6	192,628
C₄².₇₂D₆ = C₄².₇₂D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.72D6	192,630
C₄².₇₃D₆ = C₁₂⋊₂D₈	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.73D6	192,631
C₄².₇₄D₆ = C₄².₇₄D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.74D6	192,633
C₄².₇₅D₆ = Dic₆⋊₉D₄	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.75D6	192,634
C₄².₇₆D₆ = C₄².₇₆D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	192		C4^2.76D6	192,640
C₄².₇₇D₆ = C₄².₇₇D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	192		C4^2.77D6	192,641
C₄².₇₈D₆ = C₁₂⋊₅SD₁₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.78D6	192,642
C₄².₇₉D₆ = D₁₂⋊₅Q₈	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.79D6	192,643
C₄².₈₀D₆ = C₄².₈₀D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.80D6	192,645
C₄².₈₁D₆ = D₁₂⋊₆Q₈	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.81D6	192,646
C₄².₈₂D₆ = C₄².₈₂D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.82D6	192,648
C₄².₈₃D₆ = C₁₂⋊Q₁₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	192		C4^2.83D6	192,649
C₄².₈₄D₆ = Dic₆⋊₅Q₈	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	192		C4^2.84D6	192,650
C₄².₈₅D₆ = Dic₆⋊₆Q₈	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	192		C4^2.85D6	192,653
C₄².₈₆D₆ = D₁₂.₁₅D₄	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	48	4	C4^2.86D6	192,654
C₄².₈₇D₆ = C₄².₈₇D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.87D6	192,1075
C₄².₈₈D₆ = C₄².₈₈D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.88D6	192,1076
C₄².₈₉D₆ = C₄².₈₉D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.89D6	192,1077
C₄².₉₀D₆ = C₄².₉₀D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.90D6	192,1078
C₄².₉₁D₆ = C₄².₉₁D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.91D6	192,1082
C₄².₉₂D₆ = C₄².₉₂D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.92D6	192,1085
C₄².₉₃D₆ = C₄².₉₃D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.93D6	192,1087
C₄².₉₄D₆ = C₄².₉₄D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.94D6	192,1088
C₄².₉₅D₆ = C₄².₉₅D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.95D6	192,1089
C₄².₉₆D₆ = C₄².₉₆D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.96D6	192,1090
C₄².₉₇D₆ = C₄².₉₇D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.97D6	192,1091
C₄².₉₈D₆ = C₄².₉₈D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.98D6	192,1092
C₄².₉₉D₆ = C₄².₉₉D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.99D6	192,1093
C₄².₁₀₀D₆ = C₄².₁₀₀D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.100D6	192,1094
C₄².₁₀₁D₆ = D₄×Dic₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.101D6	192,1096
C₄².₁₀₂D₆ = C₄².₁₀₂D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.102D6	192,1097
C₄².₁₀₃D₆ = D₄⋊₅Dic₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.103D6	192,1098
C₄².₁₀₄D₆ = C₄².₁₀₄D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.104D6	192,1099
C₄².₁₀₅D₆ = C₄².₁₀₅D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.105D6	192,1100
C₄².₁₀₆D₆ = C₄².₁₀₆D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.106D6	192,1101
C₄².₁₀₇D₆ = D₄⋊₆Dic₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.107D6	192,1102
C₄².₁₀₈D₆ = C₄².₁₀₈D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.108D6	192,1105
C₄².₁₀₉D₆ = D₁₂⋊₂₄D₄	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.109D6	192,1110
C₄².₁₁₀D₆ = Dic₆⋊₂₃D₄	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.110D6	192,1111
C₄².₁₁₁D₆ = Dic₆⋊₂₄D₄	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.111D6	192,1112
C₄².₁₁₂D₆ = D₄⋊₆D₁₂	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.112D6	192,1114
C₄².₁₁₃D₆ = C₄².₁₁₃D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.113D6	192,1117
C₄².₁₁₄D₆ = C₄².₁₁₄D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.114D6	192,1118
C₄².₁₁₅D₆ = C₄².₁₁₅D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.115D6	192,1120
C₄².₁₁₆D₆ = C₄².₁₁₆D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.116D6	192,1121
C₄².₁₁₇D₆ = C₄².₁₁₇D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.117D6	192,1122
C₄².₁₁₈D₆ = C₄².₁₁₈D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.118D6	192,1123
C₄².₁₁₉D₆ = C₄².₁₁₉D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.119D6	192,1124
C₄².₁₂₀D₆ = Q₈×Dic₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	192		C4^2.120D6	192,1125
C₄².₁₂₁D₆ = Dic₆⋊₁₀Q₈	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	192		C4^2.121D6	192,1126
C₄².₁₂₂D₆ = C₄².₁₂₂D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.122D6	192,1127
C₄².₁₂₃D₆ = Q₈⋊₆Dic₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	192		C4^2.123D6	192,1128
C₄².₁₂₄D₆ = Q₈⋊₇Dic₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	192		C4^2.124D6	192,1129
C₄².₁₂₅D₆ = C₄².₁₂₅D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.125D6	192,1131
C₄².₁₂₆D₆ = C₄².₁₂₆D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.126D6	192,1133
C₄².₁₂₇D₆ = Q₈×D₁₂	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.127D6	192,1134
C₄².₁₂₈D₆ = Q₈⋊₆D₁₂	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.128D6	192,1135
C₄².₁₂₉D₆ = Q₈⋊₇D₁₂	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.129D6	192,1136
C₄².₁₃₀D₆ = D₁₂⋊₁₀Q₈	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.130D6	192,1138
C₄².₁₃₁D₆ = C₄².₁₃₁D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.131D6	192,1139
C₄².₁₃₂D₆ = C₄².₁₃₂D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.132D6	192,1140
C₄².₁₃₃D₆ = C₄².₁₃₃D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.133D6	192,1141
C₄².₁₃₄D₆ = C₄².₁₃₄D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.134D6	192,1142
C₄².₁₃₅D₆ = C₄².₁₃₅D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.135D6	192,1143
C₄².₁₃₆D₆ = C₄².₁₃₆D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.136D6	192,1144
C₄².₁₃₇D₆ = C₄².₁₃₇D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.137D6	192,1228
C₄².₁₃₈D₆ = C₄².₁₃₈D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.138D6	192,1229
C₄².₁₃₉D₆ = C₄².₁₃₉D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.139D6	192,1230
C₄².₁₄₀D₆ = C₄².₁₄₀D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.140D6	192,1231
C₄².₁₄₁D₆ = C₄².₁₄₁D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.141D6	192,1234
C₄².₁₄₂D₆ = Dic₆⋊₁₀D₄	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.142D6	192,1236
C₄².₁₄₃D₆ = C₄².₁₄₃D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.143D6	192,1240
C₄².₁₄₄D₆ = C₄².₁₄₄D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.144D6	192,1241
C₄².₁₄₅D₆ = C₄².₁₄₅D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.145D6	192,1243
C₄².₁₄₆D₆ = Dic₆⋊₇Q₈	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	192		C4^2.146D6	192,1244
C₄².₁₄₇D₆ = C₄².₁₄₇D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	192		C4^2.147D6	192,1245
C₄².₁₄₈D₆ = C₄².₁₄₈D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.148D6	192,1248
C₄².₁₄₉D₆ = D₁₂⋊₇Q₈	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.149D6	192,1249
C₄².₁₅₀D₆ = C₄².₁₅₀D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.150D6	192,1251
C₄².₁₅₁D₆ = C₄².₁₅₁D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.151D6	192,1252
C₄².₁₅₂D₆ = C₄².₁₅₂D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.152D6	192,1253
C₄².₁₅₃D₆ = C₄².₁₅₃D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.153D6	192,1254
C₄².₁₅₄D₆ = C₄².₁₅₄D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.154D6	192,1255
C₄².₁₅₅D₆ = C₄².₁₅₅D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.155D6	192,1256
C₄².₁₅₆D₆ = C₄².₁₅₆D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.156D6	192,1257
C₄².₁₅₇D₆ = C₄².₁₅₇D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.157D6	192,1258
C₄².₁₅₈D₆ = C₄².₁₅₈D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.158D6	192,1259
C₄².₁₅₉D₆ = C₄².₁₅₉D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.159D6	192,1260
C₄².₁₆₀D₆ = C₄².₁₆₀D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.160D6	192,1261
C₄².₁₆₁D₆ = C₄².₁₆₁D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.161D6	192,1266
C₄².₁₆₂D₆ = C₄².₁₆₂D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.162D6	192,1267
C₄².₁₆₃D₆ = C₄².₁₆₃D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.163D6	192,1268
C₄².₁₆₄D₆ = C₄².₁₆₄D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.164D6	192,1269
C₄².₁₆₅D₆ = C₄².₁₆₅D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.165D6	192,1271
C₄².₁₆₆D₆ = C₄².₁₆₆D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.166D6	192,1272
C₄².₁₆₇D₆ = Dic₆⋊₁₁D₄	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.167D6	192,1277
C₄².₁₆₈D₆ = C₄².₁₆₈D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.168D6	192,1278
C₄².₁₆₉D₆ = Dic₆⋊₈Q₈	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	192		C4^2.169D6	192,1280
C₄².₁₇₀D₆ = Dic₆⋊₉Q₈	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	192		C4^2.170D6	192,1281
C₄².₁₇₁D₆ = C₄².₁₇₁D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.171D6	192,1283
C₄².₁₇₂D₆ = D₁₂⋊₁₂D₄	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.172D6	192,1285
C₄².₁₇₃D₆ = D₁₂⋊₈Q₈	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.173D6	192,1286
C₄².₁₇₄D₆ = C₄².₁₇₄D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.174D6	192,1288
C₄².₁₇₅D₆ = D₁₂⋊₉Q₈	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.175D6	192,1289
C₄².₁₇₆D₆ = C₄².₁₇₆D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.176D6	192,1290
C₄².₁₇₇D₆ = C₄².₁₇₇D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.177D6	192,1291
C₄².₁₇₈D₆ = C₄².₁₇₈D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.178D6	192,1292
C₄².₁₇₉D₆ = C₄².₁₇₉D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.179D6	192,1293
C₄².₁₈₀D₆ = C₄².₁₈₀D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₄²	96		C4^2.180D6	192,1294
C₄².₁₈₁D₆ = S₃×C₈⋊C₄	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	96		C4^2.181D6	192,263
C₄².₁₈₂D₆ = C₄².₁₈₂D₆	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	96		C4^2.182D6	192,264
C₄².₁₈₃D₆ = Dic₃⋊₅M₄(2)	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	96		C4^2.183D6	192,266
C₄².₁₈₄D₆ = D₆.₄C₄²	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	96		C4^2.184D6	192,267
C₄².₁₈₅D₆ = C₄².₁₈₅D₆	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	96		C4^2.185D6	192,268
C₄².₁₈₆D₆ = C₁₂.₅C₄²	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	96		C4^2.186D6	192,556
C₄².₁₈₇D₆ = C₄².₁₈₇D₆	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	96		C4^2.187D6	192,559
C₄².₁₈₈D₆ = C₄².₁₈₈D₆	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	96		C4^2.188D6	192,1081
C₄².₁₈₉D₆ = C₄².₁₈₉D₆	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	96		C4^2.189D6	192,1265
C₄².₁₉₀D₆ = C₁₂.₅₃D₈	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	192		C4^2.190D6	192,38
C₄².₁₉₁D₆ = C₁₂.₃₉SD₁₆	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	192		C4^2.191D6	192,39
C₄².₁₉₂D₆ = D₁₂⋊₂C₈	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	96		C4^2.192D6	192,42
C₄².₁₉₃D₆ = Dic₆⋊₂C₈	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	192		C4^2.193D6	192,43
C₄².₁₉₄D₆ = C₁₂.₅₇D₈	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	96		C4^2.194D6	192,93
C₄².₁₉₅D₆ = C₁₂.₂₆Q₁₆	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	192		C4^2.195D6	192,94
C₄².₁₉₆D₆ = C₄².₁₉₆D₆	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	48	4	C4^2.196D6	192,383
C₄².₁₉₇D₆ = Dic₆⋊C₈	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	192		C4^2.197D6	192,389
C₄².₁₉₈D₆ = C₄².₁₉₈D₆	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	192		C4^2.198D6	192,390
C₄².₁₉₉D₆ = S₃×C₄⋊C₈	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	96		C4^2.199D6	192,391
C₄².₂₀₀D₆ = C₄².₂₀₀D₆	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	96		C4^2.200D6	192,392
C₄².₂₀₁D₆ = D₁₂⋊C₈	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	96		C4^2.201D6	192,393
C₄².₂₀₂D₆ = C₄².₂₀₂D₆	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	96		C4^2.202D6	192,394
C₄².₂₀₃D₆ = C₁₂⋊M₄(2)	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	96		C4^2.203D6	192,396
C₄².₂₀₄D₆ = C₁₂⋊₂M₄(2)	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	96		C4^2.204D6	192,397
C₄².₂₀₅D₆ = D₄×C₃⋊C₈	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	96		C4^2.205D6	192,569
C₄².₂₀₆D₆ = C₁₂⋊₃M₄(2)	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	96		C4^2.206D6	192,571
C₄².₂₀₇D₆ = C₄×D₄⋊S₃	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	96		C4^2.207D6	192,572
C₄².₂₀₈D₆ = C₄×D₄.S₃	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	96		C4^2.208D6	192,576
C₄².₂₀₉D₆ = Q₈×C₃⋊C₈	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	192		C4^2.209D6	192,582
C₄².₂₁₀D₆ = C₄².₂₁₀D₆	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	192		C4^2.210D6	192,583
C₄².₂₁₁D₆ = C₄×Q₈⋊₂S₃	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	96		C4^2.211D6	192,584
C₄².₂₁₂D₆ = C₄×C₃⋊Q₁₆	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	192		C4^2.212D6	192,588
C₄².₂₁₃D₆ = C₄².₂₁₃D₆	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	96		C4^2.213D6	192,615
C₄².₂₁₄D₆ = C₄².₂₁₄D₆	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	96		C4^2.214D6	192,618
C₄².₂₁₅D₆ = C₄².₂₁₅D₆	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	192		C4^2.215D6	192,624
C₄².₂₁₆D₆ = C₄².₂₁₆D₆	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	96		C4^2.216D6	192,627
C₄².₂₁₇D₆ = C₁₂.₁₆D₈	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	96		C4^2.217D6	192,629
C₄².₂₁₈D₆ = C₁₂⋊D₈	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	96		C4^2.218D6	192,632
C₄².₂₁₉D₆ = C₁₂⋊₄SD₁₆	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	96		C4^2.219D6	192,635
C₄².₂₂₀D₆ = C₁₂.₁₇D₈	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	192		C4^2.220D6	192,637
C₄².₂₂₁D₆ = C₁₂.₉Q₁₆	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	192		C4^2.221D6	192,638
C₄².₂₂₂D₆ = C₁₂.SD₁₆	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	192		C4^2.222D6	192,639
C₄².₂₂₃D₆ = C₁₂⋊₆SD₁₆	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	96		C4^2.223D6	192,644
C₄².₂₂₄D₆ = C₁₂.D₈	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	96		C4^2.224D6	192,647
C₄².₂₂₅D₆ = C₁₂⋊₃Q₁₆	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	192		C4^2.225D6	192,651
C₄².₂₂₆D₆ = C₁₂.Q₁₆	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	192		C4^2.226D6	192,652
C₄².₂₂₇D₆ = C₄×D₄⋊₂S₃	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	96		C4^2.227D6	192,1095
C₄².₂₂₈D₆ = C₄².₂₂₈D₆	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	96		C4^2.228D6	192,1107
C₄².₂₂₉D₆ = C₄².₂₂₉D₆	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	96		C4^2.229D6	192,1116
C₄².₂₃₀D₆ = C₄×S₃×Q₈	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	96		C4^2.230D6	192,1130
C₄².₂₃₁D₆ = C₄×Q₈⋊₃S₃	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	96		C4^2.231D6	192,1132
C₄².₂₃₂D₆ = C₄².₂₃₂D₆	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	96		C4^2.232D6	192,1137
C₄².₂₃₃D₆ = C₄².₂₃₃D₆	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	96		C4^2.233D6	192,1227
C₄².₂₃₄D₆ = C₄².₂₃₄D₆	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	96		C4^2.234D6	192,1239
C₄².₂₃₅D₆ = S₃×C₄².C₂	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	96		C4^2.235D6	192,1246
C₄².₂₃₆D₆ = C₄².₂₃₆D₆	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	96		C4^2.236D6	192,1247
C₄².₂₃₇D₆ = C₄².₂₃₇D₆	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	96		C4^2.237D6	192,1250
C₄².₂₃₈D₆ = C₄².₂₃₈D₆	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	96		C4^2.238D6	192,1275
C₄².₂₃₉D₆ = S₃×C₄⋊Q₈	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	96		C4^2.239D6	192,1282
C₄².₂₄₀D₆ = C₄².₂₄₀D₆	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	96		C4^2.240D6	192,1284
C₄².₂₄₁D₆ = C₄².₂₄₁D₆	φ: D₆/S₃ → C₂ ⊆ Aut C₄²	96		C4^2.241D6	192,1287
C₄².₂₄₂D₆ = D₆.C₄²	φ: D₆/C₆ → C₂ ⊆ Aut C₄²	96		C4^2.242D6	192,248
C₄².₂₄₃D₆ = C₄².₂₄₃D₆	φ: D₆/C₆ → C₂ ⊆ Aut C₄²	96		C4^2.243D6	192,249
C₄².₂₄₄D₆ = C₂×C₄².S₃	φ: D₆/C₆ → C₂ ⊆ Aut C₄²	192		C4^2.244D6	192,480
C₄².₂₄₅D₆ = C₄×C₄.Dic₃	φ: D₆/C₆ → C₂ ⊆ Aut C₄²	96		C4^2.245D6	192,481
C₄².₂₄₆D₆ = C₄.₈Dic₁₂	φ: D₆/C₆ → C₂ ⊆ Aut C₄²	192		C4^2.246D6	192,15
C₄².₂₄₇D₆ = C₂₄⋊₂C₈	φ: D₆/C₆ → C₂ ⊆ Aut C₄²	192		C4^2.247D6	192,16
C₄².₂₄₈D₆ = C₂₄⋊₁C₈	φ: D₆/C₆ → C₂ ⊆ Aut C₄²	192		C4^2.248D6	192,17
C₄².₂₄₉D₆ = C₄.₁₇D₂₄	φ: D₆/C₆ → C₂ ⊆ Aut C₄²	96		C4^2.249D6	192,18
C₄².₂₅₀D₆ = C₈×Dic₆	φ: D₆/C₆ → C₂ ⊆ Aut C₄²	192		C4^2.250D6	192,237
C₄².₂₅₁D₆ = C₂₄⋊₁₂Q₈	φ: D₆/C₆ → C₂ ⊆ Aut C₄²	192		C4^2.251D6	192,238
C₄².₂₅₂D₆ = C₂₄⋊₉Q₈	φ: D₆/C₆ → C₂ ⊆ Aut C₄²	192		C4^2.252D6	192,239
C₄².₂₅₃D₆ = C₁₂.₁₄Q₁₆	φ: D₆/C₆ → C₂ ⊆ Aut C₄²	192		C4^2.253D6	192,240
C₄².₂₅₄D₆ = C₂₄⋊₈Q₈	φ: D₆/C₆ → C₂ ⊆ Aut C₄²	192		C4^2.254D6	192,241
C₄².₂₅₅D₆ = C₂₄.₁₃Q₈	φ: D₆/C₆ → C₂ ⊆ Aut C₄²	192		C4^2.255D6	192,242
C₄².₂₅₆D₆ = C₈×D₁₂	φ: D₆/C₆ → C₂ ⊆ Aut C₄²	96		C4^2.256D6	192,245
C₄².₂₅₇D₆ = C₈⋊₆D₁₂	φ: D₆/C₆ → C₂ ⊆ Aut C₄²	96		C4^2.257D6	192,247
C₄².₂₅₈D₆ = C₄×C₂₄⋊C₂	φ: D₆/C₆ → C₂ ⊆ Aut C₄²	96		C4^2.258D6	192,250
C₄².₂₅₉D₆ = C₄×D₂₄	φ: D₆/C₆ → C₂ ⊆ Aut C₄²	96		C4^2.259D6	192,251
C₄².₂₆₀D₆ = C₈⋊₅D₁₂	φ: D₆/C₆ → C₂ ⊆ Aut C₄²	96		C4^2.260D6	192,252
C₄².₂₆₁D₆ = C₄.₅D₂₄	φ: D₆/C₆ → C₂ ⊆ Aut C₄²	96		C4^2.261D6	192,253
C₄².₂₆₂D₆ = C₁₂⋊₄D₈	φ: D₆/C₆ → C₂ ⊆ Aut C₄²	96		C4^2.262D6	192,254
C₄².₂₆₃D₆ = C₈.₈D₁₂	φ: D₆/C₆ → C₂ ⊆ Aut C₄²	96		C4^2.263D6	192,255
C₄².₂₆₄D₆ = C₄².₂₆₄D₆	φ: D₆/C₆ → C₂ ⊆ Aut C₄²	96		C4^2.264D6	192,256
C₄².₂₆₅D₆ = C₄×Dic₁₂	φ: D₆/C₆ → C₂ ⊆ Aut C₄²	192		C4^2.265D6	192,257
C₄².₂₆₆D₆ = C₁₂⋊₄Q₁₆	φ: D₆/C₆ → C₂ ⊆ Aut C₄²	192		C4^2.266D6	192,258
C₄².₂₆₇D₆ = D₂₄⋊₁₁C₄	φ: D₆/C₆ → C₂ ⊆ Aut C₄²	48	2	C4^2.267D6	192,259
C₄².₂₆₈D₆ = C₂×C₁₂⋊C₈	φ: D₆/C₆ → C₂ ⊆ Aut C₄²	192		C4^2.268D6	192,482
C₄².₂₆₉D₆ = C₁₂⋊₇M₄(2)	φ: D₆/C₆ → C₂ ⊆ Aut C₄²	96		C4^2.269D6	192,483
C₄².₂₇₀D₆ = C₄².₂₇₀D₆	φ: D₆/C₆ → C₂ ⊆ Aut C₄²	96		C4^2.270D6	192,485
C₄².₂₇₁D₆ = C₂×C₄×Dic₆	φ: D₆/C₆ → C₂ ⊆ Aut C₄²	192		C4^2.271D6	192,1026
C₄².₂₇₂D₆ = C₂×C₁₂⋊₂Q₈	φ: D₆/C₆ → C₂ ⊆ Aut C₄²	192		C4^2.272D6	192,1027
C₄².₂₇₃D₆ = C₂×C₁₂.₆Q₈	φ: D₆/C₆ → C₂ ⊆ Aut C₄²	192		C4^2.273D6	192,1028
C₄².₂₇₄D₆ = C₄².₂₇₄D₆	φ: D₆/C₆ → C₂ ⊆ Aut C₄²	96		C4^2.274D6	192,1029
C₄².₂₇₅D₆ = C₄×C₄○D₁₂	φ: D₆/C₆ → C₂ ⊆ Aut C₄²	96		C4^2.275D6	192,1033
C₄².₂₇₆D₆ = C₄².₂₇₆D₆	φ: D₆/C₆ → C₂ ⊆ Aut C₄²	96		C4^2.276D6	192,1036
C₄².₂₇₇D₆ = C₄².₂₇₇D₆	φ: D₆/C₆ → C₂ ⊆ Aut C₄²	96		C4^2.277D6	192,1038
C₄².₂₇₈D₆ = C₈×C₃⋊C₈	central extension (φ=1)	192		C4^2.278D6	192,12
C₄².₂₇₉D₆ = C₄².₂₇₉D₆	central extension (φ=1)	192		C4^2.279D6	192,13
C₄².₂₈₀D₆ = C₂₄⋊C₈	central extension (φ=1)	192		C4^2.280D6	192,14
C₄².₂₈₁D₆ = S₃×C₄×C₈	central extension (φ=1)	96		C4^2.281D6	192,243
C₄².₂₈₂D₆ = C₄².₂₈₂D₆	central extension (φ=1)	96		C4^2.282D6	192,244
C₄².₂₈₃D₆ = C₄×C₈⋊S₃	central extension (φ=1)	96		C4^2.283D6	192,246
C₄².₂₈₄D₆ = C₂×C₄×C₃⋊C₈	central extension (φ=1)	192		C4^2.284D6	192,479
C₄².₂₈₅D₆ = C₄².₂₈₅D₆	central extension (φ=1)	96		C4^2.285D6	192,484

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Extensions 1→N→G→Q→1 with N=C42 and Q=D6

Extensions 1→N→G→Q→1 with N=C₄² and Q=D₆