Extensions 1→N→G→Q→1 with N=C₂³.₂₃D₁₀ and Q=C₂

Direct product G=N×Q with N=C₂³.₂₃D₁₀ and Q=C₂

		d	ρ	Label	ID
C₂×C₂³.₂₃D₁₀		160		C2xC2^3.23D10	320,1461

Semidirect products G=N:Q with N=C₂³.₂₃D₁₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³.₂₃D₁₀⋊₁C₂ = C₂²⋊C₄⋊D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₃D₁₀	80	4	C2^3.23D10:1C2	320,680
C₂³.₂₃D₁₀⋊₂C₂ = C₄²⋊₁₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₃D₁₀	80		C2^3.23D10:2C2	320,1232
C₂³.₂₃D₁₀⋊₃C₂ = C₄².₁₁₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₃D₁₀	160		C2^3.23D10:3C2	320,1233
C₂³.₂₃D₁₀⋊₄C₂ = C₄².₁₁₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₃D₁₀	160		C2^3.23D10:4C2	320,1234
C₂³.₂₃D₁₀⋊₅C₂ = C₄².₁₁₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₃D₁₀	160		C2^3.23D10:5C2	320,1236
C₂³.₂₃D₁₀⋊₆C₂ = C₁₀.₇₉2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₃D₁₀	160		C2^3.23D10:6C2	320,1320
C₂³.₂₃D₁₀⋊₇C₂ = C₁₀.₁₂₀2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₃D₁₀	80		C2^3.23D10:7C2	320,1325
C₂³.₂₃D₁₀⋊₈C₂ = C₁₀.₈₅2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₃D₁₀	160		C2^3.23D10:8C2	320,1337
C₂³.₂₃D₁₀⋊₉C₂ = C₂⁴.₂₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₃D₁₀	80		C2^3.23D10:9C2	320,1162
C₂³.₂₃D₁₀⋊₁₀C₂ = C₂⁴.₃₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₃D₁₀	80		C2^3.23D10:10C2	320,1167
C₂³.₂₃D₁₀⋊₁₁C₂ = C₁₀.2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₃D₁₀	160		C2^3.23D10:11C2	320,1179
C₂³.₂₃D₁₀⋊₁₂C₂ = C₁₀.₄₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₃D₁₀	80		C2^3.23D10:12C2	320,1292
C₂³.₂₃D₁₀⋊₁₃C₂ = C₁₀.₇₄2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₃D₁₀	160		C2^3.23D10:13C2	320,1293
C₂³.₂₃D₁₀⋊₁₄C₂ = C₁₀.₂₆2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₃D₁₀	160		C2^3.23D10:14C2	320,1319
C₂³.₂₃D₁₀⋊₁₅C₂ = C₄².₁₀₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₃D₁₀	160		C2^3.23D10:15C2	320,1212
C₂³.₂₃D₁₀⋊₁₆C₂ = C₄²⋊₁₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₃D₁₀	80		C2^3.23D10:16C2	320,1228
C₂³.₂₃D₁₀⋊₁₇C₂ = C₄².₁₁₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₃D₁₀	160		C2^3.23D10:17C2	320,1230
C₂³.₂₃D₁₀⋊₁₈C₂ = C₄².₁₁₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₃D₁₀	160		C2^3.23D10:18C2	320,1231
C₂³.₂₃D₁₀⋊₁₉C₂ = C₄⋊C₄.₁₉₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₃D₁₀	160		C2^3.23D10:19C2	320,1321
C₂³.₂₃D₁₀⋊₂₀C₂ = D₅×C₂².D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₃D₁₀	80		C2^3.23D10:20C2	320,1324
C₂³.₂₃D₁₀⋊₂₁C₂ = C₄⋊C₄⋊₂₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₃D₁₀	80		C2^3.23D10:21C2	320,1328
C₂³.₂₃D₁₀⋊₂₂C₂ = C₁₀.₄₂2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₃D₁₀	80		C2^3.23D10:22C2	320,1285
C₂³.₂₃D₁₀⋊₂₃C₂ = C₁₀.₄₄2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₃D₁₀	160		C2^3.23D10:23C2	320,1287
C₂³.₂₃D₁₀⋊₂₄C₂ = C₁₀.₂₀2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₃D₁₀	160		C2^3.23D10:24C2	320,1310
C₂³.₂₃D₁₀⋊₂₅C₂ = C₁₀.₂₂2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₃D₁₀	160		C2^3.23D10:25C2	320,1312
C₂³.₂₃D₁₀⋊₂₆C₂ = C₁₀.₆2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₃D₁₀	160		C2^3.23D10:26C2	320,1187
C₂³.₂₃D₁₀⋊₂₇C₂ = C₄²⋊₁₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₃D₁₀	80		C2^3.23D10:27C2	320,1199
C₂³.₂₃D₁₀⋊₂₈C₂ = C₂⁴⋊₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₃D₁₀	80		C2^3.23D10:28C2	320,1476
C₂³.₂₃D₁₀⋊₂₉C₂ = C₁₀.₄₄2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₃D₁₀	160		C2^3.23D10:29C2	320,1488
C₂³.₂₃D₁₀⋊₃₀C₂ = C₁₀.₁₀₄2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₃D₁₀	160		C2^3.23D10:30C2	320,1496
C₂³.₂₃D₁₀⋊₃₁C₂ = C₁₀.₁₄₅2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₃D₁₀	80		C2^3.23D10:31C2	320,1501
C₂³.₂₃D₁₀⋊₃₂C₂ = C₄².₂₇₇D₁₀	φ: trivial image	160		C2^3.23D10:32C2	320,1151
C₂³.₂₃D₁₀⋊₃₃C₂ = C₂⁴.₇₂D₁₀	φ: trivial image	80		C2^3.23D10:33C2	320,1463

Non-split extensions G=N.Q with N=C₂³.₂₃D₁₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³.₂₃D₁₀.₁C₂ = (C₂²×C₄)⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₃D₁₀	80	4	C2^3.23D10.1C2	320,254
C₂³.₂₃D₁₀.₂C₂ = C₁₀.₅2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₃D₁₀	160		C2^3.23D10.2C2	320,1185
C₂³.₂₃D₁₀.₃C₂ = C₁₀.₅₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₃D₁₀	160		C2^3.23D10.3C2	320,1318
C₂³.₂₃D₁₀.₄C₂ = C₄².₉₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₂₃D₁₀	160		C2^3.23D10.4C2	320,1203

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Extensions 1→N→G→Q→1 with N=C23.23D10 and Q=C2

Extensions 1→N→G→Q→1 with N=C₂³.₂₃D₁₀ and Q=C₂