Extensions 1→N→G→Q→1 with N=C₂³.₂₆D₆ and Q=C₂

Direct product G=N×Q with N=C₂³.₂₆D₆ and Q=C₂

		d	ρ	Label	ID
C₂×C₂³.₂₆D₆		96		C2xC2^3.26D6	192,1345

Semidirect products G=N:Q with N=C₂³.₂₆D₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³.₂₆D₆⋊₁C₂ = C₂³.₁₈D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	96		C2^3.26D6:1C2	192,296
C₂³.₂₆D₆⋊₂C₂ = C₂³.₂₈D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	96		C2^3.26D6:2C2	192,672
C₂³.₂₆D₆⋊₃C₂ = C₂⁴.₄₂D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	48		C2^3.26D6:3C2	192,1054
C₂³.₂₆D₆⋊₄C₂ = C₆.₅2_-⁽¹⁺⁴⁾	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	96		C2^3.26D6:4C2	192,1072
C₂³.₂₆D₆⋊₅C₂ = C₄².₁₀₂D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	96		C2^3.26D6:5C2	192,1097
C₂³.₂₆D₆⋊₆C₂ = C₄².₁₀₅D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	96		C2^3.26D6:6C2	192,1100
C₂³.₂₆D₆⋊₇C₂ = C₄².₁₀₆D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	96		C2^3.26D6:7C2	192,1101
C₂³.₂₆D₆⋊₈C₂ = C₄².₂₂₉D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	96		C2^3.26D6:8C2	192,1116
C₂³.₂₆D₆⋊₉C₂ = C₄².₁₁₇D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	96		C2^3.26D6:9C2	192,1122
C₂³.₂₆D₆⋊₁₀C₂ = C₄².₁₁₉D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	96		C2^3.26D6:10C2	192,1124
C₂³.₂₆D₆⋊₁₁C₂ = C₆.₈₀2_-⁽¹⁺⁴⁾	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	96		C2^3.26D6:11C2	192,1209
C₂³.₂₆D₆⋊₁₂C₂ = C₆.₁₂₂2₊⁽¹⁺⁴⁾	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	48		C2^3.26D6:12C2	192,1217
C₂³.₂₆D₆⋊₁₃C₂ = C₂⁴.₈₃D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	48		C2^3.26D6:13C2	192,1350
C₂³.₂₆D₆⋊₁₄C₂ = (C₂×D₁₂)⋊₁₃C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	48	4	C2^3.26D6:14C2	192,565
C₂³.₂₆D₆⋊₁₅C₂ = C₁₂.Q₈⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	96		C2^3.26D6:15C2	192,594
C₂³.₂₆D₆⋊₁₆C₂ = C₂³.₅₃D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	48		C2^3.26D6:16C2	192,690
C₂³.₂₆D₆⋊₁₇C₂ = M₄(2)⋊₂₄D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	48	4	C2^3.26D6:17C2	192,698
C₂³.₂₆D₆⋊₁₈C₂ = (C₆×D₄)⋊₆C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	48		C2^3.26D6:18C2	192,774
C₂³.₂₆D₆⋊₁₉C₂ = C₄○D₄⋊₄Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	96		C2^3.26D6:19C2	192,792
C₂³.₂₆D₆⋊₂₀C₂ = (C₆×D₄)⋊₉C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	48	4	C2^3.26D6:20C2	192,795
C₂³.₂₆D₆⋊₂₁C₂ = (C₆×D₄)⋊₁₀C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	48	4	C2^3.26D6:21C2	192,799
C₂³.₂₆D₆⋊₂₂C₂ = C₆.₈2₊⁽¹⁺⁴⁾	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	96		C2^3.26D6:22C2	192,1063
C₂³.₂₆D₆⋊₂₃C₂ = S₃×C₄²⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	48		C2^3.26D6:23C2	192,1079
C₂³.₂₆D₆⋊₂₄C₂ = C₄²⋊₉D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	48		C2^3.26D6:24C2	192,1080
C₂³.₂₆D₆⋊₂₅C₂ = C₆.₇₁2_-⁽¹⁺⁴⁾	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	96		C2^3.26D6:25C2	192,1162
C₂³.₂₆D₆⋊₂₆C₂ = C₆.₄₃2₊⁽¹⁺⁴⁾	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	96		C2^3.26D6:26C2	192,1173
C₂³.₂₆D₆⋊₂₇C₂ = C₆.₄₅2₊⁽¹⁺⁴⁾	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	96		C2^3.26D6:27C2	192,1175
C₂³.₂₆D₆⋊₂₈C₂ = C₆.₄₇2₊⁽¹⁺⁴⁾	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	96		C2^3.26D6:28C2	192,1178
C₂³.₂₆D₆⋊₂₉C₂ = C₆.₂₁2_-⁽¹⁺⁴⁾	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	96		C2^3.26D6:29C2	192,1198
C₂³.₂₆D₆⋊₃₀C₂ = C₆.₂₃2_-⁽¹⁺⁴⁾	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	96		C2^3.26D6:30C2	192,1200
C₂³.₂₆D₆⋊₃₁C₂ = C₆.₂₄2_-⁽¹⁺⁴⁾	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	96		C2^3.26D6:31C2	192,1202
C₂³.₂₆D₆⋊₃₂C₂ = C₂⁴.₄₉D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	48		C2^3.26D6:32C2	192,1357
C₂³.₂₆D₆⋊₃₃C₂ = C₂⁴.₅₂D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	48		C2^3.26D6:33C2	192,1364
C₂³.₂₆D₆⋊₃₄C₂ = C₆.₄₄2_-⁽¹⁺⁴⁾	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	96		C2^3.26D6:34C2	192,1375
C₂³.₂₆D₆⋊₃₅C₂ = C₆.₁₀₅2_-⁽¹⁺⁴⁾	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	96		C2^3.26D6:35C2	192,1384
C₂³.₂₆D₆⋊₃₆C₂ = Dic₃×C₄○D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	96		C2^3.26D6:36C2	192,1385
C₂³.₂₆D₆⋊₃₇C₂ = C₆.₁₀₆2_-⁽¹⁺⁴⁾	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	96		C2^3.26D6:37C2	192,1386
C₂³.₂₆D₆⋊₃₈C₂ = (C₂×D₄)⋊₄₃D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	48		C2^3.26D6:38C2	192,1387
C₂³.₂₆D₆⋊₃₉C₂ = C₆.₁₄₆2₊⁽¹⁺⁴⁾	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	48		C2^3.26D6:39C2	192,1389
C₂³.₂₆D₆⋊₄₀C₂ = C₄×C₄○D₁₂	φ: trivial image	96		C2^3.26D6:40C2	192,1033

Non-split extensions G=N.Q with N=C₂³.₂₆D₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³.₂₆D₆.₁C₂ = C₁₂.₈C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	48		C2^3.26D6.1C2	192,82
C₂³.₂₆D₆.₂C₂ = C₂₄⋊C₄⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	96		C2^3.26D6.2C2	192,279
C₂³.₂₆D₆.₃C₂ = C₂³.₁₅D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	96		C2^3.26D6.3C2	192,282
C₂³.₂₆D₆.₄C₂ = Dic₃⋊C₈⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	96		C2^3.26D6.4C2	192,661
C₂³.₂₆D₆.₅C₂ = C₂³.₂₇D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	96		C2^3.26D6.5C2	192,665
C₂³.₂₆D₆.₆C₂ = C₄².₂₇₄D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	96		C2^3.26D6.6C2	192,1029
C₂³.₂₆D₆.₇C₂ = C₄²⋊₃Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	48	4	C2^3.26D6.7C2	192,90
C₂³.₂₆D₆.₈C₂ = C₁₂.₃C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	48		C2^3.26D6.8C2	192,114
C₂³.₂₆D₆.₉C₂ = (C₂×C₂₄)⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	48	4	C2^3.26D6.9C2	192,115
C₂³.₂₆D₆.₁₀C₂ = C₁₂.₂₀C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	48	4	C2^3.26D6.10C2	192,116
C₂³.₂₆D₆.₁₁C₂ = M₄(2)⋊₄Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	48	4	C2^3.26D6.11C2	192,118
C₂³.₂₆D₆.₁₂C₂ = C₄⋊C₄.₂₂₅D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	96		C2^3.26D6.12C2	192,523
C₂³.₂₆D₆.₁₃C₂ = C₄⋊C₄.₂₃₄D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	96		C2^3.26D6.13C2	192,557
C₂³.₂₆D₆.₁₄C₂ = (C₂×Q₈).₅₁D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	96		C2^3.26D6.14C2	192,604
C₂³.₂₆D₆.₁₅C₂ = C₁₂.₈₈(C₂×Q₈)	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	96		C2^3.26D6.15C2	192,678
C₂³.₂₆D₆.₁₆C₂ = C₂³.₅₁D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	96		C2^3.26D6.16C2	192,679
C₂³.₂₆D₆.₁₇C₂ = C₂³.₅₂D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	96		C2^3.26D6.17C2	192,680
C₂³.₂₆D₆.₁₈C₂ = C₁₂.₇C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	96		C2^3.26D6.18C2	192,681
C₂³.₂₆D₆.₁₉C₂ = (C₆×Q₈)⋊₆C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	96		C2^3.26D6.19C2	192,784
C₂³.₂₆D₆.₂₀C₂ = C₆.₇2₊⁽¹⁺⁴⁾	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	96		C2^3.26D6.20C2	192,1059
C₂³.₂₆D₆.₂₁C₂ = C₄².₈₇D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	96		C2^3.26D6.21C2	192,1075
C₂³.₂₆D₆.₂₂C₂ = C₄².₈₈D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	96		C2^3.26D6.22C2	192,1076
C₂³.₂₆D₆.₂₃C₂ = C₄².₉₀D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	96		C2^3.26D6.23C2	192,1078
C₂³.₂₆D₆.₂₄C₂ = C₆.₁₅2_-⁽¹⁺⁴⁾	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	96		C2^3.26D6.24C2	192,1184
C₂³.₂₆D₆.₂₅C₂ = C₆.₄₂2_-⁽¹⁺⁴⁾	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₆D₆	96		C2^3.26D6.25C2	192,1371
C₂³.₂₆D₆.₂₆C₂ = C₁₂.₁₂C₄²	φ: trivial image	96		C2^3.26D6.26C2	192,660

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Extensions 1→N→G→Q→1 with N=C23.26D6 and Q=C2

Extensions 1→N→G→Q→1 with N=C₂³.₂₆D₆ and Q=C₂