Extensions 1→N→G→Q→1 with N=C₂³×C₆ and Q=C₂²

Direct product G=N×Q with N=C₂³×C₆ and Q=C₂²

		d	ρ	Label	ID
C₂⁵×C₆		192		C2^5xC6	192,1543

Semidirect products G=N:Q with N=C₂³×C₆ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂³×C₆)⋊₁C₂² = C₃×C₂≀C₂²	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	24	4	(C2^3xC6):1C2^2	192,890
(C₂³×C₆)⋊₂C₂² = C₆×C₂²≀C₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	48		(C2^3xC6):2C2^2	192,1410
(C₂³×C₆)⋊₃C₂² = C₃×C₂³⋊₃D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	48		(C2^3xC6):3C2^2	192,1423
(C₂³×C₆)⋊₄C₂² = C₃×D₄²	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	48		(C2^3xC6):4C2^2	192,1434
(C₂³×C₆)⋊₅C₂² = C₃×C₂⁴⋊C₂²	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	48		(C2^3xC6):5C2^2	192,1450
(C₂³×C₆)⋊₆C₂² = C₆×2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	48		(C2^3xC6):6C2^2	192,1534
(C₂³×C₆)⋊₇C₂² = C₂⁴⋊₆D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	24	4	(C2^3xC6):7C2^2	192,591
(C₂³×C₆)⋊₈C₂² = S₃×C₂²≀C₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	24		(C2^3xC6):8C2^2	192,1147
(C₂³×C₆)⋊₉C₂² = C₂⁴⋊₇D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	48		(C2^3xC6):9C2^2	192,1148
(C₂³×C₆)⋊₁₀C₂² = C₂⁴⋊₈D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	48		(C2^3xC6):10C2^2	192,1149
(C₂³×C₆)⋊₁₁C₂² = C₂⁴⋊₉D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	48		(C2^3xC6):11C2^2	192,1153
(C₂³×C₆)⋊₁₂C₂² = C₂×C₂³⋊₂D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	48		(C2^3xC6):12C2^2	192,1358
(C₂³×C₆)⋊₁₃C₂² = D₄×C₃⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	48		(C2^3xC6):13C2^2	192,1360
(C₂³×C₆)⋊₁₄C₂² = C₂⁴⋊₁₂D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	48		(C2^3xC6):14C2^2	192,1363
(C₂³×C₆)⋊₁₅C₂² = C₂²×S₃×D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	48		(C2^3xC6):15C2^2	192,1514
(C₂³×C₆)⋊₁₆C₂² = C₂×D₄⋊₆D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	48		(C2^3xC6):16C2^2	192,1516
(C₂³×C₆)⋊₁₇C₂² = D₄×C₂²×C₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₆	96		(C2^3xC6):17C2^2	192,1531
(C₂³×C₆)⋊₁₈C₂² = C₂×C₂⁴⋊₄S₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₆	48		(C2^3xC6):18C2^2	192,1399
(C₂³×C₆)⋊₁₉C₂² = C₂³×C₃⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₆	96		(C2^3xC6):19C2^2	192,1529
(C₂³×C₆)⋊₂₀C₂² = S₃×C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₆	96		(C2^3xC6):20C2^2	192,1542

Non-split extensions G=N.Q with N=C₂³×C₆ and Q=C₂²

extension	φ:Q→Aut N	d	Label	ID
(C₂³×C₆).₁C₂² = C₃×C₂³.₉D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	48	(C2^3xC6).1C2^2	192,148
(C₂³×C₆).₂C₂² = C₃×C₂⁴.C₂²	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	96	(C2^3xC6).2C2^2	192,821
(C₂³×C₆).₃C₂² = C₃×C₂⁴.₃C₂²	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	96	(C2^3xC6).3C2^2	192,823
(C₂³×C₆).₄C₂² = C₃×C₂³⋊₂D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	96	(C2^3xC6).4C2^2	192,825
(C₂³×C₆).₅C₂² = C₃×C₂³⋊Q₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	96	(C2^3xC6).5C2^2	192,826
(C₂³×C₆).₆C₂² = C₃×C₂³.₁₀D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	96	(C2^3xC6).6C2^2	192,827
(C₂³×C₆).₇C₂² = C₃×C₂³.Q₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	96	(C2^3xC6).7C2^2	192,829
(C₂³×C₆).₈C₂² = C₃×C₂³.₁₁D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	96	(C2^3xC6).8C2^2	192,830
(C₂³×C₆).₉C₂² = C₃×C₂³.₄Q₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	96	(C2^3xC6).9C2^2	192,832
(C₂³×C₆).₁₀C₂² = C₆×C₂³⋊C₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	48	(C2^3xC6).10C2^2	192,842
(C₂³×C₆).₁₁C₂² = C₃×C₂².₁₁C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	48	(C2^3xC6).11C2^2	192,1407
(C₂³×C₆).₁₂C₂² = C₆×C₄⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	96	(C2^3xC6).12C2^2	192,1411
(C₂³×C₆).₁₃C₂² = C₆×C₄.₄D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	96	(C2^3xC6).13C2^2	192,1415
(C₂³×C₆).₁₄C₂² = C₆×C₄²⋊₂C₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	96	(C2^3xC6).14C2^2	192,1417
(C₂³×C₆).₁₅C₂² = C₆×C₄⋊₁D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	96	(C2^3xC6).15C2^2	192,1419
(C₂³×C₆).₁₆C₂² = C₃×C₂².₂₉C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	48	(C2^3xC6).16C2^2	192,1424
(C₂³×C₆).₁₇C₂² = C₃×C₂².₃₂C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	48	(C2^3xC6).17C2^2	192,1427
(C₂³×C₆).₁₈C₂² = C₃×C₂³⋊₂Q₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	48	(C2^3xC6).18C2^2	192,1432
(C₂³×C₆).₁₉C₂² = C₃×D₄⋊₅D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	48	(C2^3xC6).19C2^2	192,1435
(C₂³×C₆).₂₀C₂² = C₃×C₂².₄₅C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	48	(C2^3xC6).20C2^2	192,1440
(C₂³×C₆).₂₁C₂² = C₃×C₂².₅₄C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	48	(C2^3xC6).21C2^2	192,1449
(C₂³×C₆).₂₂C₂² = C₂⁴.₁₂D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	48	(C2^3xC6).22C2^2	192,85
(C₂³×C₆).₂₃C₂² = C₂⁴.₁₃D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	48	(C2^3xC6).23C2^2	192,86
(C₂³×C₆).₂₄C₂² = Dic₃×C₂²⋊C₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	96	(C2^3xC6).24C2^2	192,500
(C₂³×C₆).₂₅C₂² = C₂⁴.₅₅D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	96	(C2^3xC6).25C2^2	192,501
(C₂³×C₆).₂₆C₂² = C₂⁴.₅₆D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	96	(C2^3xC6).26C2^2	192,502
(C₂³×C₆).₂₇C₂² = C₂⁴.₁₄D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	96	(C2^3xC6).27C2^2	192,503
(C₂³×C₆).₂₈C₂² = C₂⁴.₁₅D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	96	(C2^3xC6).28C2^2	192,504
(C₂³×C₆).₂₉C₂² = C₂⁴.₅₇D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	96	(C2^3xC6).29C2^2	192,505
(C₂³×C₆).₃₀C₂² = C₂³⋊₂Dic₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	96	(C2^3xC6).30C2^2	192,506
(C₂³×C₆).₃₁C₂² = C₂⁴.₁₇D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	96	(C2^3xC6).31C2^2	192,507
(C₂³×C₆).₃₂C₂² = C₂⁴.₁₈D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	96	(C2^3xC6).32C2^2	192,508
(C₂³×C₆).₃₃C₂² = C₂⁴.₅₈D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	96	(C2^3xC6).33C2^2	192,509
(C₂³×C₆).₃₄C₂² = C₂⁴.₁₉D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	96	(C2^3xC6).34C2^2	192,510
(C₂³×C₆).₃₅C₂² = C₂⁴.₂₀D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	96	(C2^3xC6).35C2^2	192,511
(C₂³×C₆).₃₆C₂² = C₂⁴.₂₁D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	96	(C2^3xC6).36C2^2	192,512
(C₂³×C₆).₃₇C₂² = C₂×C₂³.₆D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	48	(C2^3xC6).37C2^2	192,513
(C₂³×C₆).₃₈C₂² = C₂⁴.₅₉D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	48	(C2^3xC6).38C2^2	192,514
(C₂³×C₆).₃₉C₂² = C₂⁴.₂₃D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	96	(C2^3xC6).39C2^2	192,515
(C₂³×C₆).₄₀C₂² = C₂⁴.₂₄D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	96	(C2^3xC6).40C2^2	192,516
(C₂³×C₆).₄₁C₂² = C₂⁴.₆₀D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	96	(C2^3xC6).41C2^2	192,517
(C₂³×C₆).₄₂C₂² = C₂⁴.₂₅D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	96	(C2^3xC6).42C2^2	192,518
(C₂³×C₆).₄₃C₂² = C₂³⋊₃D₁₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	96	(C2^3xC6).43C2^2	192,519
(C₂³×C₆).₄₄C₂² = C₂⁴.₂₇D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	96	(C2^3xC6).44C2^2	192,520
(C₂³×C₆).₄₅C₂² = C₂×C₂³.₇D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	48	(C2^3xC6).45C2^2	192,778
(C₂³×C₆).₄₆C₂² = C₂⁴.₂₉D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	96	(C2^3xC6).46C2^2	192,779
(C₂³×C₆).₄₇C₂² = C₂⁴.₃₀D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	96	(C2^3xC6).47C2^2	192,780
(C₂³×C₆).₄₈C₂² = C₂⁴.₃₁D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	96	(C2^3xC6).48C2^2	192,781
(C₂³×C₆).₄₉C₂² = C₂⁴.₃₂D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	96	(C2^3xC6).49C2^2	192,782
(C₂³×C₆).₅₀C₂² = C₂×C₂³.₁₆D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	96	(C2^3xC6).50C2^2	192,1039
(C₂³×C₆).₅₁C₂² = C₂×Dic₃.D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	96	(C2^3xC6).51C2^2	192,1040
(C₂³×C₆).₅₂C₂² = C₂×C₂³.₈D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	96	(C2^3xC6).52C2^2	192,1041
(C₂³×C₆).₅₃C₂² = C₂³⋊₃Dic₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	48	(C2^3xC6).53C2^2	192,1042
(C₂³×C₆).₅₄C₂² = C₂×S₃×C₂²⋊C₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	48	(C2^3xC6).54C2^2	192,1043
(C₂³×C₆).₅₅C₂² = C₂×Dic₃⋊₄D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	96	(C2^3xC6).55C2^2	192,1044
(C₂³×C₆).₅₆C₂² = C₂⁴.₃₅D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	48	(C2^3xC6).56C2^2	192,1045
(C₂³×C₆).₅₇C₂² = C₂×D₆⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	48	(C2^3xC6).57C2^2	192,1046
(C₂³×C₆).₅₈C₂² = C₂×C₂³.₉D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	96	(C2^3xC6).58C2^2	192,1047
(C₂³×C₆).₅₉C₂² = C₂×Dic₃⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	96	(C2^3xC6).59C2^2	192,1048
(C₂³×C₆).₆₀C₂² = C₂⁴.₃₈D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	48	(C2^3xC6).60C2^2	192,1049
(C₂³×C₆).₆₁C₂² = C₂×C₂³.₁₁D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	96	(C2^3xC6).61C2^2	192,1050
(C₂³×C₆).₆₂C₂² = C₂×C₂³.₂₁D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	96	(C2^3xC6).62C2^2	192,1051
(C₂³×C₆).₆₃C₂² = C₂³⋊₄D₁₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	48	(C2^3xC6).63C2^2	192,1052
(C₂³×C₆).₆₄C₂² = C₂⁴.₄₁D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	48	(C2^3xC6).64C2^2	192,1053
(C₂³×C₆).₆₅C₂² = C₂⁴.₄₂D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	48	(C2^3xC6).65C2^2	192,1054
(C₂³×C₆).₆₆C₂² = C₂⁴.₆₇D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	48	(C2^3xC6).66C2^2	192,1145
(C₂³×C₆).₆₇C₂² = C₂⁴.₄₃D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	48	(C2^3xC6).67C2^2	192,1146
(C₂³×C₆).₆₈C₂² = C₂⁴.₄₄D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	48	(C2^3xC6).68C2^2	192,1150
(C₂³×C₆).₆₉C₂² = C₂⁴.₄₅D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	48	(C2^3xC6).69C2^2	192,1151
(C₂³×C₆).₇₀C₂² = C₂⁴.₄₆D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	48	(C2^3xC6).70C2^2	192,1152
(C₂³×C₆).₇₁C₂² = C₂⁴.₄₇D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	48	(C2^3xC6).71C2^2	192,1154
(C₂³×C₆).₇₂C₂² = C₂×D₄×Dic₃	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	96	(C2^3xC6).72C2^2	192,1354
(C₂³×C₆).₇₃C₂² = C₂×C₂³.₂₃D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	96	(C2^3xC6).73C2^2	192,1355
(C₂³×C₆).₇₄C₂² = C₂×C₂³.₁₂D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	96	(C2^3xC6).74C2^2	192,1356
(C₂³×C₆).₇₅C₂² = C₂⁴.₄₉D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	48	(C2^3xC6).75C2^2	192,1357
(C₂³×C₆).₇₆C₂² = C₂×D₆⋊₃D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	96	(C2^3xC6).76C2^2	192,1359
(C₂³×C₆).₇₇C₂² = C₂×C₂³.₁₄D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	96	(C2^3xC6).77C2^2	192,1361
(C₂³×C₆).₇₈C₂² = C₂×C₁₂⋊₃D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	96	(C2^3xC6).78C2^2	192,1362
(C₂³×C₆).₇₉C₂² = C₂⁴.₅₂D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	48	(C2^3xC6).79C2^2	192,1364
(C₂³×C₆).₈₀C₂² = C₂⁴.₅₃D₆	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	48	(C2^3xC6).80C2^2	192,1365
(C₂³×C₆).₈₁C₂² = C₂²×D₄⋊₂S₃	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₆	96	(C2^3xC6).81C2^2	192,1515
(C₂³×C₆).₈₂C₂² = C₁₂×C₂²⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₆	96	(C2^3xC6).82C2^2	192,810
(C₂³×C₆).₈₃C₂² = C₃×C₂⁴⋊₃C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₆	48	(C2^3xC6).83C2^2	192,812
(C₂³×C₆).₈₄C₂² = C₃×C₂³.₇Q₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₆	96	(C2^3xC6).84C2^2	192,813
(C₂³×C₆).₈₅C₂² = C₃×C₂³.₃₄D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₆	96	(C2^3xC6).85C2^2	192,814
(C₂³×C₆).₈₆C₂² = C₃×C₂³.₈Q₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₆	96	(C2^3xC6).86C2^2	192,818
(C₂³×C₆).₈₇C₂² = C₃×C₂³.₂₃D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₆	96	(C2^3xC6).87C2^2	192,819
(C₂³×C₆).₈₈C₂² = C₂×C₆×C₂²⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₆	96	(C2^3xC6).88C2^2	192,1401
(C₂³×C₆).₈₉C₂² = C₆×C₄²⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₆	96	(C2^3xC6).89C2^2	192,1403
(C₂³×C₆).₉₀C₂² = D₄×C₂×C₁₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₆	96	(C2^3xC6).90C2^2	192,1404
(C₂³×C₆).₉₁C₂² = C₆×C₂²⋊Q₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₆	96	(C2^3xC6).91C2^2	192,1412
(C₂³×C₆).₉₂C₂² = C₆×C₂².D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₆	96	(C2^3xC6).92C2^2	192,1413
(C₂³×C₆).₉₃C₂² = C₃×C₂².₁₉C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₆	48	(C2^3xC6).93C2^2	192,1414
(C₂³×C₆).₉₄C₂² = C₂×C₆×C₄○D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₆	96	(C2^3xC6).94C2^2	192,1533
(C₂³×C₆).₉₅C₂² = C₂×C₆.C₄²	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₆	192	(C2^3xC6).95C2^2	192,767
(C₂³×C₆).₉₆C₂² = C₄×C₆.D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₆	96	(C2^3xC6).96C2^2	192,768
(C₂³×C₆).₉₇C₂² = C₂⁴.₇₃D₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₆	96	(C2^3xC6).97C2^2	192,769
(C₂³×C₆).₉₈C₂² = C₂⁴.₇₄D₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₆	96	(C2^3xC6).98C2^2	192,770
(C₂³×C₆).₉₉C₂² = C₂⁴.₇₅D₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₆	96	(C2^3xC6).99C2^2	192,771
(C₂³×C₆).₁₀₀C₂² = C₂⁴.₇₆D₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₆	96	(C2^3xC6).100C2^2	192,772
(C₂³×C₆).₁₀₁C₂² = C₂⁵.₄S₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₆	48	(C2^3xC6).101C2^2	192,806
(C₂³×C₆).₁₀₂C₂² = Dic₃×C₂²×C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₆	192	(C2^3xC6).102C2^2	192,1341
(C₂³×C₆).₁₀₃C₂² = C₂²×Dic₃⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₆	192	(C2^3xC6).103C2^2	192,1342
(C₂³×C₆).₁₀₄C₂² = C₂×C₁₂.₄₈D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₆	96	(C2^3xC6).104C2^2	192,1343
(C₂³×C₆).₁₀₅C₂² = C₂²×C₄⋊Dic₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₆	192	(C2^3xC6).105C2^2	192,1344
(C₂³×C₆).₁₀₆C₂² = C₂×C₂³.₂₆D₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₆	96	(C2^3xC6).106C2^2	192,1345
(C₂³×C₆).₁₀₇C₂² = C₂²×D₆⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₆	96	(C2^3xC6).107C2^2	192,1346
(C₂³×C₆).₁₀₈C₂² = C₂×C₄×C₃⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₆	96	(C2^3xC6).108C2^2	192,1347
(C₂³×C₆).₁₀₉C₂² = C₂×C₂³.₂₈D₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₆	96	(C2^3xC6).109C2^2	192,1348
(C₂³×C₆).₁₁₀C₂² = C₂×C₁₂⋊₇D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₆	96	(C2^3xC6).110C2^2	192,1349
(C₂³×C₆).₁₁₁C₂² = C₂⁴.₈₃D₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₆	48	(C2^3xC6).111C2^2	192,1350
(C₂³×C₆).₁₁₂C₂² = C₂²×C₆.D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₆	96	(C2^3xC6).112C2^2	192,1398
(C₂³×C₆).₁₁₃C₂² = C₂³×Dic₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₆	192	(C2^3xC6).113C2^2	192,1510
(C₂³×C₆).₁₁₄C₂² = S₃×C₂³×C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₆	96	(C2^3xC6).114C2^2	192,1511
(C₂³×C₆).₁₁₅C₂² = C₂³×D₁₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₆	96	(C2^3xC6).115C2^2	192,1512
(C₂³×C₆).₁₁₆C₂² = C₂²×C₄○D₁₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₆	96	(C2^3xC6).116C2^2	192,1513
(C₂³×C₆).₁₁₇C₂² = Dic₃×C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₆	192	(C2^3xC6).117C2^2	192,1528
(C₂³×C₆).₁₁₈C₂² = C₆×C₂.C₄²	central extension (φ=1)	192	(C2^3xC6).118C2^2	192,808
(C₂³×C₆).₁₁₉C₂² = C₂×C₆×C₄⋊C₄	central extension (φ=1)	192	(C2^3xC6).119C2^2	192,1402
(C₂³×C₆).₁₂₀C₂² = Q₈×C₂²×C₆	central extension (φ=1)	192	(C2^3xC6).120C2^2	192,1532

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Extensions 1→N→G→Q→1 with N=C23×C6 and Q=C22

Extensions 1→N→G→Q→1 with N=C₂³×C₆ and Q=C₂²