Extensions 1→N→G→Q→1 with N=C₂ and Q=D₄²

Direct product G=N×Q with N=C₂ and Q=D₄²

		d	ρ	Label	ID
C₂×D₄²		32		C2xD4^2	128,2194

Non-split extensions G=N.Q with N=C₂ and Q=D₄²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁D₄² = D₄×C₂²⋊C₄	central extension (φ=1)	32		C2.1D4^2	128,1070
C₂.₂D₄² = D₄×C₄⋊C₄	central extension (φ=1)	64		C2.2D4^2	128,1080
C₂.₃D₄² = C₂³.₂₄₀C₂⁴	central extension (φ=1)	32		C2.3D4^2	128,1090
C₂.₄D₄² = C₂⁴.₂₁₅C₂³	central extension (φ=1)	64		C2.4D4^2	128,1093
C₂.₅D₄² = C₂⁴.₂₁₉C₂³	central extension (φ=1)	64		C2.5D4^2	128,1098
C₂.₆D₄² = C₂⁴⋊₇D₄	central stem extension (φ=1)	32		C2.6D4^2	128,1135
C₂.₇D₄² = C₂³.₃₀₈C₂⁴	central stem extension (φ=1)	32		C2.7D4^2	128,1140
C₂.₈D₄² = C₂⁴⋊₈D₄	central stem extension (φ=1)	32		C2.8D4^2	128,1142
C₂.₉D₄² = C₂³.₃₁₆C₂⁴	central stem extension (φ=1)	64		C2.9D4^2	128,1148
C₂.₁₀D₄² = C₂³.₃₁₈C₂⁴	central stem extension (φ=1)	32		C2.10D4^2	128,1150
C₂.₁₁D₄² = C₂³.₃₂₂C₂⁴	central stem extension (φ=1)	64		C2.11D4^2	128,1154
C₂.₁₂D₄² = C₂³.₃₂₄C₂⁴	central stem extension (φ=1)	32		C2.12D4^2	128,1156
C₂.₁₃D₄² = C₂³.₃₂₈C₂⁴	central stem extension (φ=1)	64		C2.13D4^2	128,1160
C₂.₁₄D₄² = C₂³.₃₃₃C₂⁴	central stem extension (φ=1)	32		C2.14D4^2	128,1165
C₂.₁₅D₄² = C₂⁴⋊₄Q₈	central stem extension (φ=1)	32		C2.15D4^2	128,1169
C₂.₁₆D₄² = C₂⁴.₅₆₈C₂³	central stem extension (φ=1)	64		C2.16D4^2	128,1172
C₂.₁₇D₄² = C₂⁴.₂₆₉C₂³	central stem extension (φ=1)	64		C2.17D4^2	128,1175
C₂.₁₈D₄² = C₂³.₃₄₅C₂⁴	central stem extension (φ=1)	64		C2.18D4^2	128,1177
C₂.₁₉D₄² = C₂³.₃₄₉C₂⁴	central stem extension (φ=1)	64		C2.19D4^2	128,1181
C₂.₂₀D₄² = C₂³.₃₅₂C₂⁴	central stem extension (φ=1)	64		C2.20D4^2	128,1184
C₂.₂₁D₄² = C₂⁴.₂₇₆C₂³	central stem extension (φ=1)	64		C2.21D4^2	128,1187
C₂.₂₂D₄² = C₂³.₃₅₆C₂⁴	central stem extension (φ=1)	64		C2.22D4^2	128,1188
C₂.₂₃D₄² = C₂⁴.₂₈₂C₂³	central stem extension (φ=1)	64		C2.23D4^2	128,1193
C₂.₂₄D₄² = C₂⁴.₂₈₃C₂³	central stem extension (φ=1)	64		C2.24D4^2	128,1195
C₂.₂₅D₄² = C₂³.₃₆₄C₂⁴	central stem extension (φ=1)	64		C2.25D4^2	128,1196
C₂.₂₆D₄² = C₂³.₃₇₂C₂⁴	central stem extension (φ=1)	32		C2.26D4^2	128,1204
C₂.₂₇D₄² = C₂³.₃₉₁C₂⁴	central stem extension (φ=1)	64		C2.27D4^2	128,1223
C₂.₂₈D₄² = C₄²⋊₁₈D₄	central stem extension (φ=1)	64		C2.28D4^2	128,1269
C₂.₂₉D₄² = C₄²⋊₂₀D₄	central stem extension (φ=1)	64		C2.29D4^2	128,1273
C₂.₃₀D₄² = C₄²⋊₇Q₈	central stem extension (φ=1)	128		C2.30D4^2	128,1283
C₂.₃₁D₄² = C₂³.₄₅₅C₂⁴	central stem extension (φ=1)	64		C2.31D4^2	128,1287
C₂.₃₂D₄² = C₂³.₅₆₈C₂⁴	central stem extension (φ=1)	32		C2.32D4^2	128,1400
C₂.₃₃D₄² = C₂³.₅₆₉C₂⁴	central stem extension (φ=1)	32		C2.33D4^2	128,1401
C₂.₃₄D₄² = C₂³.₅₇₀C₂⁴	central stem extension (φ=1)	32		C2.34D4^2	128,1402
C₂.₃₅D₄² = C₂³.₅₇₁C₂⁴	central stem extension (φ=1)	64		C2.35D4^2	128,1403
C₂.₃₆D₄² = C₂³.₅₇₂C₂⁴	central stem extension (φ=1)	64		C2.36D4^2	128,1404
C₂.₃₇D₄² = C₂³.₅₇₃C₂⁴	central stem extension (φ=1)	64		C2.37D4^2	128,1405
C₂.₃₈D₄² = C₂³.₅₇₄C₂⁴	central stem extension (φ=1)	64		C2.38D4^2	128,1406
C₂.₃₉D₄² = C₂⁴.₃₈₄C₂³	central stem extension (φ=1)	64		C2.39D4^2	128,1407
C₂.₄₀D₄² = C₂³.₅₇₆C₂⁴	central stem extension (φ=1)	64		C2.40D4^2	128,1408
C₂.₄₁D₄² = C₂⁴.₃₈₅C₂³	central stem extension (φ=1)	64		C2.41D4^2	128,1409
C₂.₄₂D₄² = C₂³.₅₇₈C₂⁴	central stem extension (φ=1)	32		C2.42D4^2	128,1410
C₂.₄₃D₄² = C₂⁵⋊C₂²	central stem extension (φ=1)	32		C2.43D4^2	128,1411
C₂.₄₄D₄² = C₂³.₅₈₀C₂⁴	central stem extension (φ=1)	64		C2.44D4^2	128,1412
C₂.₄₅D₄² = C₂³.₅₈₁C₂⁴	central stem extension (φ=1)	64		C2.45D4^2	128,1413
C₂.₄₆D₄² = C₂⁴.₃₈₉C₂³	central stem extension (φ=1)	64		C2.46D4^2	128,1414
C₂.₄₇D₄² = C₂³.₅₈₃C₂⁴	central stem extension (φ=1)	64		C2.47D4^2	128,1415
C₂.₄₈D₄² = D₈⋊₉D₄	central stem extension (φ=1)	32		C2.48D4^2	128,1996
C₂.₄₉D₄² = SD₁₆⋊D₄	central stem extension (φ=1)	32		C2.49D4^2	128,1997
C₂.₅₀D₄² = SD₁₆⋊₆D₄	central stem extension (φ=1)	32		C2.50D4^2	128,1998
C₂.₅₁D₄² = D₈⋊₁₀D₄	central stem extension (φ=1)	32		C2.51D4^2	128,1999
C₂.₅₂D₄² = SD₁₆⋊₇D₄	central stem extension (φ=1)	32		C2.52D4^2	128,2000
C₂.₅₃D₄² = SD₁₆⋊₈D₄	central stem extension (φ=1)	64		C2.53D4^2	128,2001
C₂.₅₄D₄² = Q₁₆⋊₉D₄	central stem extension (φ=1)	64		C2.54D4^2	128,2002
C₂.₅₅D₄² = Q₁₆⋊₁₀D₄	central stem extension (φ=1)	64		C2.55D4^2	128,2003
C₂.₅₆D₄² = D₈⋊₄D₄	central stem extension (φ=1)	32		C2.56D4^2	128,2004
C₂.₅₇D₄² = D₈⋊₅D₄	central stem extension (φ=1)	32		C2.57D4^2	128,2005
C₂.₅₈D₄² = SD₁₆⋊₁D₄	central stem extension (φ=1)	32		C2.58D4^2	128,2006
C₂.₅₉D₄² = SD₁₆⋊₂D₄	central stem extension (φ=1)	32		C2.59D4^2	128,2007
C₂.₆₀D₄² = SD₁₆⋊₃D₄	central stem extension (φ=1)	64		C2.60D4^2	128,2008
C₂.₆₁D₄² = Q₁₆⋊₄D₄	central stem extension (φ=1)	64		C2.61D4^2	128,2009
C₂.₆₂D₄² = Q₁₆⋊₅D₄	central stem extension (φ=1)	64		C2.62D4^2	128,2010
C₂.₆₃D₄² = D₄×D₈	central stem extension (φ=1)	32		C2.63D4^2	128,2011
C₂.₆₄D₄² = D₈⋊₁₂D₄	central stem extension (φ=1)	32		C2.64D4^2	128,2012
C₂.₆₅D₄² = D₄×SD₁₆	central stem extension (φ=1)	32		C2.65D4^2	128,2013
C₂.₆₆D₄² = SD₁₆⋊₁₀D₄	central stem extension (φ=1)	32		C2.66D4^2	128,2014
C₂.₆₇D₄² = D₈⋊₁₃D₄	central stem extension (φ=1)	64		C2.67D4^2	128,2015
C₂.₆₈D₄² = SD₁₆⋊₁₁D₄	central stem extension (φ=1)	64		C2.68D4^2	128,2016
C₂.₆₉D₄² = Q₁₆⋊₁₂D₄	central stem extension (φ=1)	64		C2.69D4^2	128,2017
C₂.₇₀D₄² = D₄×Q₁₆	central stem extension (φ=1)	64		C2.70D4^2	128,2018
C₂.₇₁D₄² = Q₁₆⋊₁₃D₄	central stem extension (φ=1)	64		C2.71D4^2	128,2019
C₂.₇₂D₄² = D₈⋊₁₁D₄	central stem extension (φ=1)	16	8+	C2.72D4^2	128,2020
C₂.₇₃D₄² = D₈.₁₃D₄	central stem extension (φ=1)	32	8-	C2.73D4^2	128,2021
C₂.₇₄D₄² = D₈○SD₁₆	central stem extension (φ=1)	32	4	C2.74D4^2	128,2022
C₂.₇₅D₄² = D₈⋊₆D₄	central stem extension (φ=1)	16	4	C2.75D4^2	128,2023
C₂.₇₆D₄² = D₈○D₈	central stem extension (φ=1)	16	4+	C2.76D4^2	128,2024
C₂.₇₇D₄² = D₈○Q₁₆	central stem extension (φ=1)	32	4-	C2.77D4^2	128,2025

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Extensions 1→N→G→Q→1 with N=C2 and Q=D42

Extensions 1→N→G→Q→1 with N=C₂ and Q=D₄²