Extensions 1→N→G→Q→1 with N=C₂⁴ and Q=D₁₀

Direct product G=N×Q with N=C₂⁴ and Q=D₁₀

		d	ρ	Label	ID
D₅×C₂⁵		160		D5xC2^5	320,1639

Semidirect products G=N:Q with N=C₂⁴ and Q=D₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂⁴⋊D₁₀ = C₂×C₂⁴⋊D₅	φ: D₁₀/C₂ → D₅ ⊆ Aut C₂⁴	10	5+	C2^4:D10	320,1636
C₂⁴⋊₂D₁₀ = C₂⁴⋊₂D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂⁴	40	4	C2^4:2D10	320,659
C₂⁴⋊₃D₁₀ = C₂⁴⋊₃D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂⁴	80		C2^4:3D10	320,1261
C₂⁴⋊₄D₁₀ = C₂⁴⋊₄D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂⁴	80		C2^4:4D10	320,1262
C₂⁴⋊₅D₁₀ = C₂⁴⋊₅D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂⁴	80		C2^4:5D10	320,1266
C₂⁴⋊₆D₁₀ = C₂×C₂³⋊D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂⁴	80		C2^4:6D10	320,1471
C₂⁴⋊₇D₁₀ = D₄×C₅⋊D₄	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂⁴	80		C2^4:7D10	320,1473
C₂⁴⋊₈D₁₀ = C₂⁴⋊₈D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂⁴	80		C2^4:8D10	320,1476
C₂⁴⋊₉D₁₀ = C₂×D₄⋊₆D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂⁴	80		C2^4:9D10	320,1614
C₂⁴⋊₁₀D₁₀ = D₅×C₂²≀C₂	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂⁴	40		C2^4:10D10	320,1260
C₂⁴⋊₁₁D₁₀ = C₂²×D₄×D₅	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂⁴	80		C2^4:11D10	320,1612
C₂⁴⋊₁₂D₁₀ = C₂×C₂⁴⋊₂D₅	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂⁴	80		C2^4:12D10	320,1512
C₂⁴⋊₁₃D₁₀ = C₂³×C₅⋊D₄	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂⁴	160		C2^4:13D10	320,1627

Non-split extensions G=N.Q with N=C₂⁴ and Q=D₁₀

extension	φ:Q→Aut N	d	Label	ID
C₂⁴.₁D₁₀ = C₂⁴.D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂⁴	80	C2^4.1D10	320,84
C₂⁴.₂D₁₀ = C₂⁴.₂D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂⁴	80	C2^4.2D10	320,85
C₂⁴.₃D₁₀ = C₂⁴.₃D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂⁴	160	C2^4.3D10	320,571
C₂⁴.₄D₁₀ = C₂⁴.₄D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂⁴	160	C2^4.4D10	320,572
C₂⁴.₅D₁₀ = C₂³⋊Dic₁₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂⁴	160	C2^4.5D10	320,574
C₂⁴.₆D₁₀ = C₂⁴.₆D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂⁴	160	C2^4.6D10	320,575
C₂⁴.₇D₁₀ = C₂⁴.₇D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂⁴	160	C2^4.7D10	320,576
C₂⁴.₈D₁₀ = C₂⁴.₈D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂⁴	160	C2^4.8D10	320,578
C₂⁴.₉D₁₀ = C₂⁴.₉D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂⁴	160	C2^4.9D10	320,579
C₂⁴.₁₀D₁₀ = C₂³.₁₄D₂₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂⁴	160	C2^4.10D10	320,580
C₂⁴.₁₁D₁₀ = C₂×C₂³.₁D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂⁴	80	C2^4.11D10	320,581
C₂⁴.₁₂D₁₀ = C₂⁴.₁₂D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂⁴	160	C2^4.12D10	320,583
C₂⁴.₁₃D₁₀ = C₂⁴.₁₃D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂⁴	160	C2^4.13D10	320,584
C₂⁴.₁₄D₁₀ = C₂⁴.₁₄D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂⁴	160	C2^4.14D10	320,586
C₂⁴.₁₅D₁₀ = C₂³⋊₂D₂₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂⁴	160	C2^4.15D10	320,587
C₂⁴.₁₆D₁₀ = C₂⁴.₁₆D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂⁴	160	C2^4.16D10	320,588
C₂⁴.₁₇D₁₀ = C₂×C₂³⋊Dic₅	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂⁴	80	C2^4.17D10	320,846
C₂⁴.₁₈D₁₀ = C₂⁴.₁₈D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂⁴	160	C2^4.18D10	320,847
C₂⁴.₁₉D₁₀ = C₂⁴.₁₉D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂⁴	160	C2^4.19D10	320,848
C₂⁴.₂₀D₁₀ = C₂⁴.₂₀D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂⁴	160	C2^4.20D10	320,849
C₂⁴.₂₁D₁₀ = C₂⁴.₂₁D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂⁴	160	C2^4.21D10	320,850
C₂⁴.₂₂D₁₀ = C₂×C₂³.D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂⁴	160	C2^4.22D10	320,1154
C₂⁴.₂₃D₁₀ = C₂³⋊₂Dic₁₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂⁴	80	C2^4.23D10	320,1155
C₂⁴.₂₄D₁₀ = C₂⁴.₂₄D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂⁴	80	C2^4.24D10	320,1158
C₂⁴.₂₅D₁₀ = C₂×D₁₀.₁₂D₄	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂⁴	160	C2^4.25D10	320,1160
C₂⁴.₂₆D₁₀ = C₂×D₁₀⋊D₄	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂⁴	160	C2^4.26D10	320,1161
C₂⁴.₂₇D₁₀ = C₂⁴.₂₇D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂⁴	80	C2^4.27D10	320,1162
C₂⁴.₂₈D₁₀ = C₂×Dic₅.₅D₄	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂⁴	160	C2^4.28D10	320,1163
C₂⁴.₂₉D₁₀ = C₂³⋊₃D₂₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂⁴	80	C2^4.29D10	320,1165
C₂⁴.₃₀D₁₀ = C₂⁴.₃₀D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂⁴	80	C2^4.30D10	320,1166
C₂⁴.₃₁D₁₀ = C₂⁴.₃₁D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂⁴	80	C2^4.31D10	320,1167
C₂⁴.₃₂D₁₀ = C₂⁴.₃₂D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂⁴	80	C2^4.32D10	320,1259
C₂⁴.₃₃D₁₀ = C₂⁴.₃₃D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂⁴	80	C2^4.33D10	320,1263
C₂⁴.₃₄D₁₀ = C₂⁴.₃₄D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂⁴	80	C2^4.34D10	320,1264
C₂⁴.₃₅D₁₀ = C₂⁴.₃₅D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂⁴	80	C2^4.35D10	320,1265
C₂⁴.₃₆D₁₀ = C₂⁴.₃₆D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂⁴	80	C2^4.36D10	320,1267
C₂⁴.₃₇D₁₀ = C₂×C₂₀.₁₇D₄	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂⁴	160	C2^4.37D10	320,1469
C₂⁴.₃₈D₁₀ = C₂⁴.₃₈D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂⁴	80	C2^4.38D10	320,1470
C₂⁴.₃₉D₁₀ = C₂×C₂₀⋊₂D₄	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂⁴	160	C2^4.39D10	320,1472
C₂⁴.₄₀D₁₀ = C₂×C₂₀⋊D₄	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂⁴	160	C2^4.40D10	320,1475
C₂⁴.₄₁D₁₀ = C₂⁴.₄₁D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂⁴	80	C2^4.41D10	320,1477
C₂⁴.₄₂D₁₀ = C₂⁴.₄₂D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂⁴	80	C2^4.42D10	320,1478
C₂⁴.₄₃D₁₀ = C₂²⋊C₄×Dic₅	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂⁴	160	C2^4.43D10	320,568
C₂⁴.₄₄D₁₀ = C₂⁴.₄₄D₁₀	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂⁴	160	C2^4.44D10	320,569
C₂⁴.₄₅D₁₀ = C₂³.₄₂D₂₀	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂⁴	160	C2^4.45D10	320,570
C₂⁴.₄₆D₁₀ = C₂⁴.₄₆D₁₀	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂⁴	160	C2^4.46D10	320,573
C₂⁴.₄₇D₁₀ = C₂⁴.₄₇D₁₀	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂⁴	160	C2^4.47D10	320,577
C₂⁴.₄₈D₁₀ = C₂⁴.₄₈D₁₀	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂⁴	80	C2^4.48D10	320,582
C₂⁴.₄₉D₁₀ = C₂³.₄₅D₂₀	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂⁴	160	C2^4.49D10	320,585
C₂⁴.₅₀D₁₀ = C₂×C₂³.₁₁D₁₀	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂⁴	160	C2^4.50D10	320,1152
C₂⁴.₅₁D₁₀ = C₂×Dic₅.₁₄D₄	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂⁴	160	C2^4.51D10	320,1153
C₂⁴.₅₂D₁₀ = C₂×D₅×C₂²⋊C₄	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂⁴	80	C2^4.52D10	320,1156
C₂⁴.₅₃D₁₀ = C₂×Dic₅⋊₄D₄	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂⁴	160	C2^4.53D10	320,1157
C₂⁴.₅₄D₁₀ = C₂×C₂²⋊D₂₀	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂⁴	80	C2^4.54D10	320,1159
C₂⁴.₅₅D₁₀ = C₂×C₂².D₂₀	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂⁴	160	C2^4.55D10	320,1164
C₂⁴.₅₆D₁₀ = C₂⁴.₅₆D₁₀	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂⁴	80	C2^4.56D10	320,1258
C₂⁴.₅₇D₁₀ = C₂×D₄×Dic₅	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂⁴	160	C2^4.57D10	320,1467
C₂⁴.₅₈D₁₀ = C₂×C₂³.₁₈D₁₀	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂⁴	160	C2^4.58D10	320,1468
C₂⁴.₅₉D₁₀ = C₂×Dic₅⋊D₄	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂⁴	160	C2^4.59D10	320,1474
C₂⁴.₆₀D₁₀ = C₂²×D₄⋊₂D₅	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂⁴	160	C2^4.60D10	320,1613
C₂⁴.₆₁D₁₀ = C₄×C₂³.D₅	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂⁴	160	C2^4.61D10	320,836
C₂⁴.₆₂D₁₀ = C₂⁴.₆₂D₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂⁴	160	C2^4.62D10	320,837
C₂⁴.₆₃D₁₀ = C₂⁴.₆₃D₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂⁴	160	C2^4.63D10	320,838
C₂⁴.₆₄D₁₀ = C₂⁴.₆₄D₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂⁴	160	C2^4.64D10	320,839
C₂⁴.₆₅D₁₀ = C₂⁴.₆₅D₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂⁴	160	C2^4.65D10	320,840
C₂⁴.₆₆D₁₀ = C₂⁵.₂D₅	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂⁴	80	C2^4.66D10	320,874
C₂⁴.₆₇D₁₀ = C₂×C₂₀.₄₈D₄	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂⁴	160	C2^4.67D10	320,1456
C₂⁴.₆₈D₁₀ = C₂×C₂³.₂₁D₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂⁴	160	C2^4.68D10	320,1458
C₂⁴.₆₉D₁₀ = C₂×C₄×C₅⋊D₄	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂⁴	160	C2^4.69D10	320,1460
C₂⁴.₇₀D₁₀ = C₂×C₂³.₂₃D₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂⁴	160	C2^4.70D10	320,1461
C₂⁴.₇₁D₁₀ = C₂×C₂₀⋊₇D₄	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂⁴	160	C2^4.71D10	320,1462
C₂⁴.₇₂D₁₀ = C₂⁴.₇₂D₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂⁴	80	C2^4.72D10	320,1463
C₂⁴.₇₃D₁₀ = C₂²×C₄○D₂₀	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂⁴	160	C2^4.73D10	320,1611
C₂⁴.₇₄D₁₀ = C₂×C₁₀.₁₀C₄²	central extension (φ=1)	320	C2^4.74D10	320,835
C₂⁴.₇₅D₁₀ = C₂²×C₄×Dic₅	central extension (φ=1)	320	C2^4.75D10	320,1454
C₂⁴.₇₆D₁₀ = C₂²×C₁₀.D₄	central extension (φ=1)	320	C2^4.76D10	320,1455
C₂⁴.₇₇D₁₀ = C₂²×C₄⋊Dic₅	central extension (φ=1)	320	C2^4.77D10	320,1457
C₂⁴.₇₈D₁₀ = C₂²×D₁₀⋊C₄	central extension (φ=1)	160	C2^4.78D10	320,1459
C₂⁴.₇₉D₁₀ = C₂²×C₂³.D₅	central extension (φ=1)	160	C2^4.79D10	320,1511
C₂⁴.₈₀D₁₀ = C₂³×Dic₁₀	central extension (φ=1)	320	C2^4.80D10	320,1608
C₂⁴.₈₁D₁₀ = D₅×C₂³×C₄	central extension (φ=1)	160	C2^4.81D10	320,1609
C₂⁴.₈₂D₁₀ = C₂³×D₂₀	central extension (φ=1)	160	C2^4.82D10	320,1610
C₂⁴.₈₃D₁₀ = C₂⁴×Dic₅	central extension (φ=1)	320	C2^4.83D10	320,1626

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Extensions 1→N→G→Q→1 with N=C24 and Q=D10

Extensions 1→N→G→Q→1 with N=C₂⁴ and Q=D₁₀