Extensions 1→N→G→Q→1 with N=C₂³.D₇ and Q=C₂²

Direct product G=N×Q with N=C₂³.D₇ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₂³.D₇		224		C2^2xC2^3.D7	448,1292

Semidirect products G=N:Q with N=C₂³.D₇ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³.D₇⋊₁C₂² = C₂³⋊D₂₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	56	8+	C2^3.D7:1C2^2	448,275
C₂³.D₇⋊₂C₂² = C₂³.₅D₂₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	112	8-	C2^3.D7:2C2^2	448,276
C₂³.D₇⋊₃C₂² = D₇×C₂³⋊C₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	56	8+	C2^3.D7:3C2^2	448,277
C₂³.D₇⋊₄C₂² = C₂⁴⋊D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	56	4	C2^3.D7:4C2^2	448,566
C₂³.D₇⋊₅C₂² = C₂²⋊C₄⋊D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	112	4	C2^3.D7:5C2^2	448,587
C₂³.D₇⋊₆C₂² = 2₊¹⁺⁴.₂D₇	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	112	8-	C2^3.D7:6C2^2	448,777
C₂³.D₇⋊₇C₂² = 2₊¹⁺⁴⋊₂D₇	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	56	8+	C2^3.D7:7C2^2	448,778
C₂³.D₇⋊₈C₂² = C₂⁴.₂₇D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	112		C2^3.D7:8C2^2	448,943
C₂³.D₇⋊₉C₂² = C₄²⋊₁₆D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	112		C2^3.D7:9C2^2	448,1009
C₂³.D₇⋊₁₀C₂² = C₄²⋊₁₇D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	112		C2^3.D7:10C2^2	448,1013
C₂³.D₇⋊₁₁C₂² = C₂⁴.₅₆D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	112		C2^3.D7:11C2^2	448,1039
C₂³.D₇⋊₁₂C₂² = C₂⁴.₃₂D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	112		C2^3.D7:12C2^2	448,1040
C₂³.D₇⋊₁₃C₂² = D₇×C₂²≀C₂	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	56		C2^3.D7:13C2^2	448,1041
C₂³.D₇⋊₁₄C₂² = C₂⁴⋊₂D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	112		C2^3.D7:14C2^2	448,1042
C₂³.D₇⋊₁₅C₂² = C₂⁴⋊₃D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	112		C2^3.D7:15C2^2	448,1043
C₂³.D₇⋊₁₆C₂² = C₂⁴.₃₄D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	112		C2^3.D7:16C2^2	448,1045
C₂³.D₇⋊₁₇C₂² = C₂⁴.₃₅D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	112		C2^3.D7:17C2^2	448,1046
C₂³.D₇⋊₁₈C₂² = C₂⁴⋊₄D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	112		C2^3.D7:18C2^2	448,1047
C₂³.D₇⋊₁₉C₂² = C₂⁴.₃₆D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	112		C2^3.D7:19C2^2	448,1048
C₂³.D₇⋊₂₀C₂² = D₇×C₄⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	112		C2^3.D7:20C2^2	448,1057
C₂³.D₇⋊₂₁C₂² = C₁₄.₃₇2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	112		C2^3.D7:21C2^2	448,1058
C₂³.D₇⋊₂₂C₂² = C₄⋊C₄⋊₂₁D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	112		C2^3.D7:22C2^2	448,1059
C₂³.D₇⋊₂₃C₂² = C₁₄.₃₈2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	112		C2^3.D7:23C2^2	448,1060
C₂³.D₇⋊₂₄C₂² = D₂₈⋊₂₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	112		C2^3.D7:24C2^2	448,1065
C₂³.D₇⋊₂₅C₂² = C₁₄.₄₂2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	112		C2^3.D7:25C2^2	448,1066
C₂³.D₇⋊₂₆C₂² = C₁₄.₄₆2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	112		C2^3.D7:26C2^2	448,1070
C₂³.D₇⋊₂₇C₂² = C₁₄.₄₈2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	112		C2^3.D7:27C2^2	448,1073
C₂³.D₇⋊₂₈C₂² = D₇×C₂².D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	112		C2^3.D7:28C2^2	448,1105
C₂³.D₇⋊₂₉C₂² = C₁₄.₁₂₀2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	112		C2^3.D7:29C2^2	448,1106
C₂³.D₇⋊₃₀C₂² = C₁₄.₁₂₁2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	112		C2^3.D7:30C2^2	448,1107
C₂³.D₇⋊₃₁C₂² = C₁₄.₁₂₂2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	112		C2^3.D7:31C2^2	448,1111
C₂³.D₇⋊₃₂C₂² = D₇×C₄.₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	112		C2^3.D7:32C2^2	448,1126
C₂³.D₇⋊₃₃C₂² = D₂₈⋊₁₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	112		C2^3.D7:33C2^2	448,1129
C₂³.D₇⋊₃₄C₂² = C₄²⋊₂₁D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	112		C2^3.D7:34C2^2	448,1132
C₂³.D₇⋊₃₅C₂² = C₄²⋊₂₂D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	112		C2^3.D7:35C2^2	448,1136
C₂³.D₇⋊₃₆C₂² = C₄²⋊₂₆D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	112		C2^3.D7:36C2^2	448,1168
C₂³.D₇⋊₃₇C₂² = D₂₈⋊₁₁D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	112		C2^3.D7:37C2^2	448,1170
C₂³.D₇⋊₃₈C₂² = C₄²⋊₂₈D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	112		C2^3.D7:38C2^2	448,1173
C₂³.D₇⋊₃₉C₂² = C₂⁴.₄₁D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	112		C2^3.D7:39C2^2	448,1258
C₂³.D₇⋊₄₀C₂² = C₂⁴.₄₂D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	112		C2^3.D7:40C2^2	448,1259
C₂³.D₇⋊₄₁C₂² = C₁₄.₁₄₅2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	112		C2^3.D7:41C2^2	448,1282
C₂³.D₇⋊₄₂C₂² = C₂×C₂³.₁D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	112		C2^3.D7:42C2^2	448,488
C₂³.D₇⋊₄₃C₂² = C₂×C₂³⋊Dic₇	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	112		C2^3.D7:43C2^2	448,753
C₂³.D₇⋊₄₄C₂² = C₂×D₇×C₂²⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	112		C2^3.D7:44C2^2	448,937
C₂³.D₇⋊₄₅C₂² = C₂×D₁₄.D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7:45C2^2	448,941
C₂³.D₇⋊₄₆C₂² = C₂×Dic₇.D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7:46C2^2	448,944
C₂³.D₇⋊₄₇C₂² = C₄×D₄×D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	112		C2^3.D7:47C2^2	448,997
C₂³.D₇⋊₄₈C₂² = C₄²⋊₁₁D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	112		C2^3.D7:48C2^2	448,998
C₂³.D₇⋊₄₉C₂² = C₄²⋊₁₂D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	112		C2^3.D7:49C2^2	448,1000
C₂³.D₇⋊₅₀C₂² = C₂⁴.₃₃D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	112		C2^3.D7:50C2^2	448,1044
C₂³.D₇⋊₅₁C₂² = D₂₈⋊₁₉D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	112		C2^3.D7:51C2^2	448,1062
C₂³.D₇⋊₅₂C₂² = C₁₄.₄₀2₊¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	112		C2^3.D7:52C2^2	448,1063
C₂³.D₇⋊₅₃C₂² = C₁₄.₆₁2₊¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	112		C2^3.D7:53C2^2	448,1110
C₂³.D₇⋊₅₄C₂² = C₁₄.₆₂2₊¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	112		C2^3.D7:54C2^2	448,1112
C₂³.D₇⋊₅₅C₂² = C₂×C₂³.₂₃D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7:55C2^2	448,1242
C₂³.D₇⋊₅₆C₂² = C₂×D₄×Dic₇	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7:56C2^2	448,1248
C₂³.D₇⋊₅₇C₂² = C₂×C₂³.₁₈D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7:57C2^2	448,1249
C₂³.D₇⋊₅₈C₂² = C₂×C₂₈.₁₇D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7:58C2^2	448,1250
C₂³.D₇⋊₅₉C₂² = C₂⁴.₃₈D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	112		C2^3.D7:59C2^2	448,1251
C₂³.D₇⋊₆₀C₂² = C₂×C₂³⋊D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	112		C2^3.D7:60C2^2	448,1252
C₂³.D₇⋊₆₁C₂² = C₂×C₂₈⋊₂D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7:61C2^2	448,1253
C₂³.D₇⋊₆₂C₂² = D₄×C₇⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	112		C2^3.D7:62C2^2	448,1254
C₂³.D₇⋊₆₃C₂² = C₂×Dic₇⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7:63C2^2	448,1255
C₂³.D₇⋊₆₄C₂² = C₂⁴⋊₇D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	112		C2^3.D7:64C2^2	448,1257
C₂³.D₇⋊₆₅C₂² = (C₂×C₂₈)⋊₁₅D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	112		C2^3.D7:65C2^2	448,1281
C₂³.D₇⋊₆₆C₂² = C₂×C₂⁴⋊D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	112		C2^3.D7:66C2^2	448,1293
C₂³.D₇⋊₆₇C₂² = C₂⁴.₂₄D₁₄	φ: trivial image	112		C2^3.D7:67C2^2	448,939
C₂³.D₇⋊₆₈C₂² = C₂×C₄×C₇⋊D₄	φ: trivial image	224		C2^3.D7:68C2^2	448,1241

Non-split extensions G=N.Q with N=C₂³.D₇ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³.D₇.₁C₂² = C₂³⋊C₄⋊₅D₇	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	112	8-	C2^3.D7.1C2^2	448,274
C₂³.D₇.₂C₂² = C₂⁴.₃₀D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	112		C2^3.D7.2C2^2	448,947
C₂³.D₇.₃C₂² = C₄².₈₉D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.3C2^2	448,971
C₂³.D₇.₄C₂² = C₄²⋊₁₀D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	112		C2^3.D7.4C2^2	448,980
C₂³.D₇.₅C₂² = C₄².₉₆D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.5C2^2	448,984
C₂³.D₇.₆C₂² = C₄².₉₉D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.6C2^2	448,987
C₂³.D₇.₇C₂² = D₄×Dic₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.7C2^2	448,990
C₂³.D₇.₈C₂² = D₄⋊₅Dic₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.8C2^2	448,992
C₂³.D₇.₉C₂² = C₄².₁₀₅D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.9C2^2	448,994
C₂³.D₇.₁₀C₂² = D₄⋊₆Dic₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.10C2^2	448,996
C₂³.D₇.₁₁C₂² = D₂₈⋊₂₃D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	112		C2^3.D7.11C2^2	448,1003
C₂³.D₇.₁₂C₂² = D₂₈⋊₂₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.12C2^2	448,1004
C₂³.D₇.₁₃C₂² = Dic₁₄⋊₂₃D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.13C2^2	448,1005
C₂³.D₇.₁₄C₂² = C₄².₁₁₃D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.14C2^2	448,1011
C₂³.D₇.₁₅C₂² = C₄².₁₁₅D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.15C2^2	448,1014
C₂³.D₇.₁₆C₂² = C₄².₁₁₆D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.16C2^2	448,1015
C₂³.D₇.₁₇C₂² = C₄².₁₁₈D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.17C2^2	448,1017
C₂³.D₇.₁₈C₂² = C₂₈⋊(C₄○D₄)	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.18C2^2	448,1049
C₂³.D₇.₁₉C₂² = C₁₄.₆₈2_-¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.19C2^2	448,1050
C₂³.D₇.₂₀C₂² = Dic₁₄⋊₁₉D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.20C2^2	448,1051
C₂³.D₇.₂₁C₂² = C₄⋊C₄.₁₇₈D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.21C2^2	448,1053
C₂³.D₇.₂₂C₂² = C₁₄.₃₄2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.22C2^2	448,1054
C₂³.D₇.₂₃C₂² = C₁₄.₃₅2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.23C2^2	448,1055
C₂³.D₇.₂₄C₂² = C₁₄.₇₁2_-¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.24C2^2	448,1056
C₂³.D₇.₂₅C₂² = C₁₄.₇₂2_-¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.25C2^2	448,1061
C₂³.D₇.₂₆C₂² = C₁₄.₄₃2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.26C2^2	448,1067
C₂³.D₇.₂₇C₂² = C₁₄.₄₄2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.27C2^2	448,1068
C₂³.D₇.₂₈C₂² = C₁₄.₁₁₅2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.28C2^2	448,1071
C₂³.D₇.₂₉C₂² = C₁₄.₄₉2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.29C2^2	448,1074
C₂³.D₇.₃₀C₂² = (Q₈×Dic₇)⋊C₂	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.30C2^2	448,1075
C₂³.D₇.₃₁C₂² = C₁₄.₇₅2_-¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.31C2^2	448,1076
C₂³.D₇.₃₂C₂² = D₇×C₂²⋊Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	112		C2^3.D7.32C2^2	448,1079
C₂³.D₇.₃₃C₂² = C₁₄.₁₆2_-¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.33C2^2	448,1081
C₂³.D₇.₃₄C₂² = C₁₄.₅₁2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	112		C2^3.D7.34C2^2	448,1087
C₂³.D₇.₃₅C₂² = C₁₄.₂₂2_-¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.35C2^2	448,1093
C₂³.D₇.₃₆C₂² = C₁₄.₅₈2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.36C2^2	448,1099
C₂³.D₇.₃₇C₂² = C₁₄.₂₆2_-¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.37C2^2	448,1100
C₂³.D₇.₃₈C₂² = C₁₄.₇₉2_-¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.38C2^2	448,1101
C₂³.D₇.₃₉C₂² = C₄⋊C₄.₁₉₇D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.39C2^2	448,1102
C₂³.D₇.₄₀C₂² = C₁₄.₈₀2_-¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.40C2^2	448,1103
C₂³.D₇.₄₁C₂² = C₁₄.₆₀2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.41C2^2	448,1104
C₂³.D₇.₄₂C₂² = C₁₄.₈₂2_-¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.42C2^2	448,1108
C₂³.D₇.₄₃C₂² = C₄⋊C₄⋊₂₈D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	112		C2^3.D7.43C2^2	448,1109
C₂³.D₇.₄₄C₂² = C₁₄.₈₃2_-¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.44C2^2	448,1113
C₂³.D₇.₄₅C₂² = C₁₄.₈₄2_-¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.45C2^2	448,1115
C₂³.D₇.₄₆C₂² = C₁₄.₆₇2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.46C2^2	448,1117
C₂³.D₇.₄₇C₂² = C₁₄.₈₅2_-¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.47C2^2	448,1118
C₂³.D₇.₄₈C₂² = C₁₄.₆₈2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	112		C2^3.D7.48C2^2	448,1119
C₂³.D₇.₄₉C₂² = C₁₄.₈₆2_-¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.49C2^2	448,1120
C₂³.D₇.₅₀C₂² = C₄².₁₃₇D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.50C2^2	448,1122
C₂³.D₇.₅₁C₂² = C₄².₁₃₈D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.51C2^2	448,1123
C₂³.D₇.₅₂C₂² = C₄².₁₃₉D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.52C2^2	448,1124
C₂³.D₇.₅₃C₂² = C₄².₁₄₀D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.53C2^2	448,1125
C₂³.D₇.₅₄C₂² = C₄².₁₄₁D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.54C2^2	448,1128
C₂³.D₇.₅₅C₂² = Dic₁₄⋊₁₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.55C2^2	448,1130
C₂³.D₇.₅₆C₂² = C₄²⋊₂₀D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	112		C2^3.D7.56C2^2	448,1131
C₂³.D₇.₅₇C₂² = C₄².₂₃₄D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.57C2^2	448,1133
C₂³.D₇.₅₈C₂² = C₄².₁₄₃D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.58C2^2	448,1134
C₂³.D₇.₅₉C₂² = C₄².₁₄₄D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.59C2^2	448,1135
C₂³.D₇.₆₀C₂² = C₄².₁₄₅D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.60C2^2	448,1137
C₂³.D₇.₆₁C₂² = C₄².₁₅₉D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.61C2^2	448,1154
C₂³.D₇.₆₂C₂² = C₄².₁₆₀D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.62C2^2	448,1155
C₂³.D₇.₆₃C₂² = D₇×C₄²⋊₂C₂	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	112		C2^3.D7.63C2^2	448,1156
C₂³.D₇.₆₄C₂² = C₄²⋊₂₃D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	112		C2^3.D7.64C2^2	448,1157
C₂³.D₇.₆₅C₂² = C₄²⋊₂₄D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	112		C2^3.D7.65C2^2	448,1158
C₂³.D₇.₆₆C₂² = C₄².₁₈₉D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.66C2^2	448,1159
C₂³.D₇.₆₇C₂² = C₄².₁₆₁D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.67C2^2	448,1160
C₂³.D₇.₆₈C₂² = C₄².₁₆₂D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.68C2^2	448,1161
C₂³.D₇.₆₉C₂² = C₄².₁₆₄D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.69C2^2	448,1163
C₂³.D₇.₇₀C₂² = C₄².₁₆₅D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.70C2^2	448,1165
C₂³.D₇.₇₁C₂² = C₄².₁₆₆D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.71C2^2	448,1166
C₂³.D₇.₇₂C₂² = C₄².₂₃₈D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.72C2^2	448,1169
C₂³.D₇.₇₃C₂² = Dic₁₄⋊₁₁D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.73C2^2	448,1171
C₂³.D₇.₇₄C₂² = C₄².₁₆₈D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.74C2^2	448,1172
C₂³.D₇.₇₅C₂² = C₁₄.₁₀₄2_-¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.75C2^2	448,1277
C₂³.D₇.₇₆C₂² = C₁₄.₁₀₇2_-¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.76C2^2	448,1284
C₂³.D₇.₇₇C₂² = C₁₄.₁₀₈2_-¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₂³.D₇	224		C2^3.D7.77C2^2	448,1286
C₂³.D₇.₇₈C₂² = (C₂×D₂₈)⋊₁₃C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	112	4	C2^3.D7.78C2^2	448,540
C₂³.D₇.₇₉C₂² = (D₄×C₁₄)⋊₁₀C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	112	4	C2^3.D7.79C2^2	448,774
C₂³.D₇.₈₀C₂² = C₄².₂₇₄D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.80C2^2	448,923
C₂³.D₇.₈₁C₂² = C₄².₂₇₇D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.81C2^2	448,932
C₂³.D₇.₈₂C₂² = C₂×C₂³.₁₁D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.82C2^2	448,933
C₂³.D₇.₈₃C₂² = C₂×C₂²⋊Dic₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.83C2^2	448,934
C₂³.D₇.₈₄C₂² = C₂×C₂³.D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.84C2^2	448,935
C₂³.D₇.₈₅C₂² = C₂³⋊₂Dic₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	112		C2^3.D7.85C2^2	448,936
C₂³.D₇.₈₆C₂² = C₁₄.₇2₊¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.86C2^2	448,953
C₂³.D₇.₈₇C₂² = C₁₄.2_-¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.87C2^2	448,960
C₂³.D₇.₈₈C₂² = C₁₄.₁₀2₊¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.88C2^2	448,964
C₂³.D₇.₈₉C₂² = C₁₄.₆2_-¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.89C2^2	448,968
C₂³.D₇.₉₀C₂² = C₄².₈₇D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.90C2^2	448,969
C₂³.D₇.₉₁C₂² = C₄².₈₈D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.91C2^2	448,970
C₂³.D₇.₉₂C₂² = C₄².₉₀D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.92C2^2	448,972
C₂³.D₇.₉₃C₂² = D₇×C₄²⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	112		C2^3.D7.93C2^2	448,973
C₂³.D₇.₉₄C₂² = C₄²⋊₇D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	112		C2^3.D7.94C2^2	448,974
C₂³.D₇.₉₅C₂² = C₄².₉₃D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.95C2^2	448,981
C₂³.D₇.₉₆C₂² = C₄².₉₄D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.96C2^2	448,982
C₂³.D₇.₉₇C₂² = C₄².₉₅D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.97C2^2	448,983
C₂³.D₇.₉₈C₂² = C₄².₉₇D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.98C2^2	448,985
C₂³.D₇.₉₉C₂² = C₄².₉₈D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.99C2^2	448,986
C₂³.D₇.₁₀₀C₂² = C₄×D₄⋊₂D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.100C2^2	448,989
C₂³.D₇.₁₀₁C₂² = C₄².₁₀₂D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.101C2^2	448,991
C₂³.D₇.₁₀₂C₂² = C₄².₁₀₄D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.102C2^2	448,993
C₂³.D₇.₁₀₃C₂² = C₄².₁₀₆D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.103C2^2	448,995
C₂³.D₇.₁₀₄C₂² = C₄².₁₀₈D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.104C2^2	448,999
C₂³.D₇.₁₀₅C₂² = C₄².₂₂₈D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.105C2^2	448,1001
C₂³.D₇.₁₀₆C₂² = C₄².₂₂₉D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.106C2^2	448,1010
C₂³.D₇.₁₀₇C₂² = C₄².₁₁₄D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.107C2^2	448,1012
C₂³.D₇.₁₀₈C₂² = C₄².₁₁₇D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.108C2^2	448,1016
C₂³.D₇.₁₀₉C₂² = C₄².₁₁₉D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.109C2^2	448,1018
C₂³.D₇.₁₁₀C₂² = Dic₁₄⋊₂₀D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.110C2^2	448,1052
C₂³.D₇.₁₁₁C₂² = C₁₄.₇₃2_-¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.111C2^2	448,1064
C₂³.D₇.₁₁₂C₂² = C₁₄.₄₅2₊¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.112C2^2	448,1069
C₂³.D₇.₁₁₃C₂² = C₁₄.₄₇2₊¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.113C2^2	448,1072
C₂³.D₇.₁₁₄C₂² = C₁₄.₁₅2_-¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.114C2^2	448,1078
C₂³.D₇.₁₁₅C₂² = D₂₈⋊₂₁D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	112		C2^3.D7.115C2^2	448,1083
C₂³.D₇.₁₁₆C₂² = D₂₈⋊₂₂D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.116C2^2	448,1084
C₂³.D₇.₁₁₇C₂² = Dic₁₄⋊₂₁D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.117C2^2	448,1085
C₂³.D₇.₁₁₈C₂² = Dic₁₄⋊₂₂D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.118C2^2	448,1086
C₂³.D₇.₁₁₉C₂² = C₁₄.₁₁₈2₊¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.119C2^2	448,1088
C₂³.D₇.₁₂₀C₂² = C₁₄.₅₂2₊¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.120C2^2	448,1089
C₂³.D₇.₁₂₁C₂² = C₁₄.₅₃2₊¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	112		C2^3.D7.121C2^2	448,1090
C₂³.D₇.₁₂₂C₂² = C₁₄.₂₀2_-¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.122C2^2	448,1091
C₂³.D₇.₁₂₃C₂² = C₁₄.₂₁2_-¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.123C2^2	448,1092
C₂³.D₇.₁₂₄C₂² = C₁₄.₂₃2_-¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.124C2^2	448,1094
C₂³.D₇.₁₂₅C₂² = C₁₄.₇₇2_-¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.125C2^2	448,1095
C₂³.D₇.₁₂₆C₂² = C₁₄.₂₄2_-¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.126C2^2	448,1096
C₂³.D₇.₁₂₇C₂² = C₁₄.₆₄2₊¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.127C2^2	448,1114
C₂³.D₇.₁₂₈C₂² = C₁₄.₆₆2₊¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.128C2^2	448,1116
C₂³.D₇.₁₂₉C₂² = C₂×C₂₈.₄₈D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.129C2^2	448,1237
C₂³.D₇.₁₃₀C₂² = C₂⁴.₇₂D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	112		C2^3.D7.130C2^2	448,1244
C₂³.D₇.₁₃₁C₂² = Q₈×C₇⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.131C2^2	448,1268
C₂³.D₇.₁₃₂C₂² = C₁₄.₄₄2_-¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.132C2^2	448,1269
C₂³.D₇.₁₃₃C₂² = C₁₄.₁₀₅2_-¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.133C2^2	448,1278
C₂³.D₇.₁₃₄C₂² = C₄○D₄×Dic₇	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.134C2^2	448,1279
C₂³.D₇.₁₃₅C₂² = C₁₄.₁₀₆2_-¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.135C2^2	448,1280
C₂³.D₇.₁₃₆C₂² = C₁₄.₁₄₆2₊¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	112		C2^3.D7.136C2^2	448,1283
C₂³.D₇.₁₃₇C₂² = (C₂×C₂₈)⋊₁₇D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.137C2^2	448,1285
C₂³.D₇.₁₃₈C₂² = C₁₄.₁₄₈2₊¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₂³.D₇	224		C2^3.D7.138C2^2	448,1287
C₂³.D₇.₁₃₉C₂² = C₄×C₄○D₂₈	φ: trivial image	224		C2^3.D7.139C2^2	448,927
C₂³.D₇.₁₄₀C₂² = C₂⁴.₃₁D₁₄	φ: trivial image	112		C2^3.D7.140C2^2	448,948
C₂³.D₇.₁₄₁C₂² = C₁₄.₈2₊¹⁺⁴	φ: trivial image	224		C2^3.D7.141C2^2	448,957
C₂³.D₇.₁₄₂C₂² = C₁₄.₅2_-¹⁺⁴	φ: trivial image	224		C2^3.D7.142C2^2	448,966
C₂³.D₇.₁₄₃C₂² = C₁₄.₁₁2₊¹⁺⁴	φ: trivial image	224		C2^3.D7.143C2^2	448,967
C₂³.D₇.₁₄₄C₂² = C₂×C₂³.₂₁D₁₄	φ: trivial image	224		C2^3.D7.144C2^2	448,1239
C₂³.D₇.₁₄₅C₂² = C₁₄.₄₂2_-¹⁺⁴	φ: trivial image	224		C2^3.D7.145C2^2	448,1265
C₂³.D₇.₁₄₆C₂² = C₁₄.₄₅2_-¹⁺⁴	φ: trivial image	224		C2^3.D7.146C2^2	448,1270

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Extensions 1→N→G→Q→1 with N=C23.D7 and Q=C22

Extensions 1→N→G→Q→1 with N=C₂³.D₇ and Q=C₂²