Extensions 1→N→G→Q→1 with N=C₄²⋊D₅ and Q=C₂

Direct product G=N×Q with N=C₄²⋊D₅ and Q=C₂

		d	ρ	Label	ID
C₂×C₄²⋊D₅		160		C2xC4^2:D5	320,1144

Semidirect products G=N:Q with N=C₄²⋊D₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄²⋊D₅⋊₁C₂ = C₄²⋊₁₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₅	80		C4^2:D5:1C2	320,1199
C₄²⋊D₅⋊₂C₂ = C₄².₉₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₅	160		C4^2:D5:2C2	320,1201
C₄²⋊D₅⋊₃C₂ = C₄².₉₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₅	160		C4^2:D5:3C2	320,1203
C₄²⋊D₅⋊₄C₂ = C₄².₉₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₅	160		C4^2:D5:4C2	320,1204
C₄²⋊D₅⋊₅C₂ = C₄².₁₆₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₅	160		C4^2:D5:5C2	320,1374
C₄²⋊D₅⋊₆C₂ = C₄²⋊₂₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₅	80		C4^2:D5:6C2	320,1377
C₄²⋊D₅⋊₇C₂ = C₄².₁₆₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₅	160		C4^2:D5:7C2	320,1380
C₄²⋊D₅⋊₈C₂ = C₄².₁₆₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₅	160		C4^2:D5:8C2	320,1381
C₄²⋊D₅⋊₉C₂ = C₄²⋊D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₅	80	4	C4^2:D5:9C2	320,448
C₄²⋊D₅⋊₁₀C₂ = C₄².₁₀₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₅	160		C4^2:D5:10C2	320,1210
C₄²⋊D₅⋊₁₁C₂ = C₄²⋊₁₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₅	80		C4^2:D5:11C2	320,1217
C₄²⋊D₅⋊₁₂C₂ = C₄².₁₀₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₅	160		C4^2:D5:12C2	320,1218
C₄²⋊D₅⋊₁₃C₂ = C₄²⋊₁₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₅	80		C4^2:D5:13C2	320,1219
C₄²⋊D₅⋊₁₄C₂ = C₄².₁₁₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₅	160		C4^2:D5:14C2	320,1233
C₄²⋊D₅⋊₁₅C₂ = C₄².₁₁₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₅	160		C4^2:D5:15C2	320,1234
C₄²⋊D₅⋊₁₆C₂ = C₄².₁₂₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₅	160		C4^2:D5:16C2	320,1246
C₄²⋊D₅⋊₁₇C₂ = C₄².₁₃₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₅	160		C4^2:D5:17C2	320,1252
C₄²⋊D₅⋊₁₈C₂ = C₄².₁₃₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₅	160		C4^2:D5:18C2	320,1254
C₄²⋊D₅⋊₁₉C₂ = C₄²⋊₁₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₅	80		C4^2:D5:19C2	320,1346
C₄²⋊D₅⋊₂₀C₂ = C₄².₁₄₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₅	160		C4^2:D5:20C2	320,1347
C₄²⋊D₅⋊₂₁C₂ = C₄².₁₄₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₅	160		C4^2:D5:21C2	320,1354
C₄²⋊D₅⋊₂₂C₂ = C₄².₁₅₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₅	160		C4^2:D5:22C2	320,1370
C₄²⋊D₅⋊₂₃C₂ = C₄²⋊₂₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₅	80		C4^2:D5:23C2	320,1387
C₄²⋊D₅⋊₂₄C₂ = C₄².₁₆₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₅	160		C4^2:D5:24C2	320,1391
C₄²⋊D₅⋊₂₅C₂ = C₄².₁₇₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₅	160		C4^2:D5:25C2	320,1396
C₄²⋊D₅⋊₂₆C₂ = C₄².₁₇₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₅	160		C4^2:D5:26C2	320,1405
C₄²⋊D₅⋊₂₇C₂ = C₄².₂₇₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₅	160		C4^2:D5:27C2	320,1151
C₄²⋊D₅⋊₂₈C₂ = D₅×C₄²⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₅	80		C4^2:D5:28C2	320,1192
C₄²⋊D₅⋊₂₉C₂ = C₄².₁₈₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₅	160		C4^2:D5:29C2	320,1194
C₄²⋊D₅⋊₃₀C₂ = C₄².₉₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₅	160		C4^2:D5:30C2	320,1200
C₄²⋊D₅⋊₃₁C₂ = C₄².₁₀₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₅	160		C4^2:D5:31C2	320,1212
C₄²⋊D₅⋊₃₂C₂ = C₄²⋊₁₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₅	80		C4^2:D5:32C2	320,1228
C₄²⋊D₅⋊₃₃C₂ = C₄².₁₂₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₅	160		C4^2:D5:33C2	320,1240
C₄²⋊D₅⋊₃₄C₂ = C₄².₁₃₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₅	160		C4^2:D5:34C2	320,1253
C₄²⋊D₅⋊₃₅C₂ = C₄².₁₃₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₅	160		C4^2:D5:35C2	320,1342
C₄²⋊D₅⋊₃₆C₂ = C₄²⋊₂₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₅	80		C4^2:D5:36C2	320,1351
C₄²⋊D₅⋊₃₇C₂ = C₄².₁₅₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₅	160		C4^2:D5:37C2	320,1365
C₄²⋊D₅⋊₃₈C₂ = C₄×C₄○D₂₀	φ: trivial image	160		C4^2:D5:38C2	320,1146

Non-split extensions G=N.Q with N=C₄²⋊D₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄²⋊D₅.₁C₂ = C₄².₃₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₅	160		C4^2:D5.1C2	320,466
C₄²⋊D₅.₂C₂ = C₄².₃₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₅	160		C4^2:D5.2C2	320,467
C₄²⋊D₅.₃C₂ = C₄².₁₂₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₅	160		C4^2:D5.3C2	320,1244
C₄²⋊D₅.₄C₂ = C₄².₂₃₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₅	160		C4^2:D5.4C2	320,1250
C₄²⋊D₅.₅C₂ = C₄².₁₃₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₅	160		C4^2:D5.5C2	320,1255
C₄²⋊D₅.₆C₂ = C₄².₁₄₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₅	160		C4^2:D5.6C2	320,1361
C₄²⋊D₅.₇C₂ = C₄².₁₅₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₅	160		C4^2:D5.7C2	320,1369
C₄²⋊D₅.₈C₂ = C₄².₁₇₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₅	160		C4^2:D5.8C2	320,1401
C₄²⋊D₅.₉C₂ = C₄².₁₇₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₅	160		C4^2:D5.9C2	320,1403
C₄²⋊D₅.₁₀C₂ = C₄².₂₄₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₅	160		C4^2:D5.10C2	320,317
C₄²⋊D₅.₁₁C₂ = D₁₀.₇C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₅	160		C4^2:D5.11C2	320,335
C₄²⋊D₅.₁₂C₂ = C₄².₁₈₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₅	160		C4^2:D5.12C2	320,336
C₄²⋊D₅.₁₃C₂ = C₄²⋊₃F₅	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₅	80	4	C4^2:D5.13C2	320,201
C₄²⋊D₅.₁₄C₂ = D₁₀.₅C₄²	φ: trivial image	160		C4^2:D5.14C2	320,316

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Extensions 1→N→G→Q→1 with N=C42⋊D5 and Q=C2

Extensions 1→N→G→Q→1 with N=C₄²⋊D₅ and Q=C₂