Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂⁴

Direct product G=N×Q with N=C₂² and Q=C₂⁴

		d	ρ	Label	ID
C₂⁶		64		C2^6	64,267

Semidirect products G=N:Q with N=C₂² and Q=C₂⁴

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊C₂⁴ = D₄×C₂³	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₂²	32		C2^2:C2^4	64,261

Non-split extensions G=N.Q with N=C₂² and Q=C₂⁴

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁C₂⁴ = C₂²×C₄○D₄	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₂²	32		C2^2.1C2^4	64,263
C₂².₂C₂⁴ = C₂×2₊¹⁺⁴	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₂²	16		C2^2.2C2^4	64,264
C₂².₃C₂⁴ = C₂×2_-¹⁺⁴	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₂²	32		C2^2.3C2^4	64,265
C₂².₄C₂⁴ = C₂.C₂⁵	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₂²	16	4	C2^2.4C2^4	64,266
C₂².₅C₂⁴ = C₂²×C₂²⋊C₄	central extension (φ=1)	32		C2^2.5C2^4	64,193
C₂².₆C₂⁴ = C₂²×C₄⋊C₄	central extension (φ=1)	64		C2^2.6C2^4	64,194
C₂².₇C₂⁴ = C₂×C₄²⋊C₂	central extension (φ=1)	32		C2^2.7C2^4	64,195
C₂².₈C₂⁴ = C₂×C₄×D₄	central extension (φ=1)	32		C2^2.8C2^4	64,196
C₂².₉C₂⁴ = C₂×C₄×Q₈	central extension (φ=1)	64		C2^2.9C2^4	64,197
C₂².₁₀C₂⁴ = C₄×C₄○D₄	central extension (φ=1)	32		C2^2.10C2^4	64,198
C₂².₁₁C₂⁴ = C₂².₁₁C₂⁴	central extension (φ=1)	16		C2^2.11C2^4	64,199
C₂².₁₂C₂⁴ = C₂³.₃₂C₂³	central extension (φ=1)	32		C2^2.12C2^4	64,200
C₂².₁₃C₂⁴ = C₂³.₃₃C₂³	central extension (φ=1)	32		C2^2.13C2^4	64,201
C₂².₁₄C₂⁴ = Q₈×C₂³	central extension (φ=1)	64		C2^2.14C2^4	64,262
C₂².₁₅C₂⁴ = C₂×C₂²≀C₂	central stem extension (φ=1)	16		C2^2.15C2^4	64,202
C₂².₁₆C₂⁴ = C₂×C₄⋊D₄	central stem extension (φ=1)	32		C2^2.16C2^4	64,203
C₂².₁₇C₂⁴ = C₂×C₂²⋊Q₈	central stem extension (φ=1)	32		C2^2.17C2^4	64,204
C₂².₁₈C₂⁴ = C₂×C₂².D₄	central stem extension (φ=1)	32		C2^2.18C2^4	64,205
C₂².₁₉C₂⁴ = C₂².₁₉C₂⁴	central stem extension (φ=1)	16		C2^2.19C2^4	64,206
C₂².₂₀C₂⁴ = C₂×C₄.₄D₄	central stem extension (φ=1)	32		C2^2.20C2^4	64,207
C₂².₂₁C₂⁴ = C₂×C₄².C₂	central stem extension (φ=1)	64		C2^2.21C2^4	64,208
C₂².₂₂C₂⁴ = C₂×C₄²⋊₂C₂	central stem extension (φ=1)	32		C2^2.22C2^4	64,209
C₂².₂₃C₂⁴ = C₂³.₃₆C₂³	central stem extension (φ=1)	32		C2^2.23C2^4	64,210
C₂².₂₄C₂⁴ = C₂×C₄⋊₁D₄	central stem extension (φ=1)	32		C2^2.24C2^4	64,211
C₂².₂₅C₂⁴ = C₂×C₄⋊Q₈	central stem extension (φ=1)	64		C2^2.25C2^4	64,212
C₂².₂₆C₂⁴ = C₂².₂₆C₂⁴	central stem extension (φ=1)	32		C2^2.26C2^4	64,213
C₂².₂₇C₂⁴ = C₂³.₃₇C₂³	central stem extension (φ=1)	32		C2^2.27C2^4	64,214
C₂².₂₈C₂⁴ = C₂³⋊₃D₄	central stem extension (φ=1)	16		C2^2.28C2^4	64,215
C₂².₂₉C₂⁴ = C₂².₂₉C₂⁴	central stem extension (φ=1)	16		C2^2.29C2^4	64,216
C₂².₃₀C₂⁴ = C₂³.₃₈C₂³	central stem extension (φ=1)	32		C2^2.30C2^4	64,217
C₂².₃₁C₂⁴ = C₂².₃₁C₂⁴	central stem extension (φ=1)	32		C2^2.31C2^4	64,218
C₂².₃₂C₂⁴ = C₂².₃₂C₂⁴	central stem extension (φ=1)	16		C2^2.32C2^4	64,219
C₂².₃₃C₂⁴ = C₂².₃₃C₂⁴	central stem extension (φ=1)	32		C2^2.33C2^4	64,220
C₂².₃₄C₂⁴ = C₂².₃₄C₂⁴	central stem extension (φ=1)	32		C2^2.34C2^4	64,221
C₂².₃₅C₂⁴ = C₂².₃₅C₂⁴	central stem extension (φ=1)	32		C2^2.35C2^4	64,222
C₂².₃₆C₂⁴ = C₂².₃₆C₂⁴	central stem extension (φ=1)	32		C2^2.36C2^4	64,223
C₂².₃₇C₂⁴ = C₂³⋊₂Q₈	central stem extension (φ=1)	16		C2^2.37C2^4	64,224
C₂².₃₈C₂⁴ = C₂³.₄₁C₂³	central stem extension (φ=1)	32		C2^2.38C2^4	64,225
C₂².₃₉C₂⁴ = D₄²	central stem extension (φ=1)	16		C2^2.39C2^4	64,226
C₂².₄₀C₂⁴ = D₄⋊₅D₄	central stem extension (φ=1)	16		C2^2.40C2^4	64,227
C₂².₄₁C₂⁴ = D₄⋊₆D₄	central stem extension (φ=1)	32		C2^2.41C2^4	64,228
C₂².₄₂C₂⁴ = Q₈⋊₅D₄	central stem extension (φ=1)	32		C2^2.42C2^4	64,229
C₂².₄₃C₂⁴ = D₄×Q₈	central stem extension (φ=1)	32		C2^2.43C2^4	64,230
C₂².₄₄C₂⁴ = Q₈⋊₆D₄	central stem extension (φ=1)	32		C2^2.44C2^4	64,231
C₂².₄₅C₂⁴ = C₂².₄₅C₂⁴	central stem extension (φ=1)	16		C2^2.45C2^4	64,232
C₂².₄₆C₂⁴ = C₂².₄₆C₂⁴	central stem extension (φ=1)	32		C2^2.46C2^4	64,233
C₂².₄₇C₂⁴ = C₂².₄₇C₂⁴	central stem extension (φ=1)	32		C2^2.47C2^4	64,234
C₂².₄₈C₂⁴ = D₄⋊₃Q₈	central stem extension (φ=1)	32		C2^2.48C2^4	64,235
C₂².₄₉C₂⁴ = C₂².₄₉C₂⁴	central stem extension (φ=1)	32		C2^2.49C2^4	64,236
C₂².₅₀C₂⁴ = C₂².₅₀C₂⁴	central stem extension (φ=1)	32		C2^2.50C2^4	64,237
C₂².₅₁C₂⁴ = Q₈⋊₃Q₈	central stem extension (φ=1)	64		C2^2.51C2^4	64,238
C₂².₅₂C₂⁴ = Q₈²	central stem extension (φ=1)	64		C2^2.52C2^4	64,239
C₂².₅₃C₂⁴ = C₂².₅₃C₂⁴	central stem extension (φ=1)	32		C2^2.53C2^4	64,240
C₂².₅₄C₂⁴ = C₂².₅₄C₂⁴	central stem extension (φ=1)	16		C2^2.54C2^4	64,241
C₂².₅₅C₂⁴ = C₂⁴⋊C₂²	central stem extension (φ=1)	16		C2^2.55C2^4	64,242
C₂².₅₆C₂⁴ = C₂².₅₆C₂⁴	central stem extension (φ=1)	32		C2^2.56C2^4	64,243
C₂².₅₇C₂⁴ = C₂².₅₇C₂⁴	central stem extension (φ=1)	32		C2^2.57C2^4	64,244
C₂².₅₈C₂⁴ = C₂².₅₈C₂⁴	central stem extension (φ=1)	64		C2^2.58C2^4	64,245

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Extensions 1→N→G→Q→1 with N=C22 and Q=C24

Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂⁴