Extensions 1→N→G→Q→1 with N=C₂⁴ and Q=D₄

Direct product G=N×Q with N=C₂⁴ and Q=D₄

		d	ρ	Label	ID
D₄×C₂⁴		64		D4xC2^4	128,2320

Semidirect products G=N:Q with N=C₂⁴ and Q=D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂⁴⋊₁D₄ = C₂⁴⋊D₄	φ: D₄/C₁ → D₄ ⊆ Aut C₂⁴	16		C2^4:1D4	128,753
C₂⁴⋊₂D₄ = D₄≀C₂	φ: D₄/C₁ → D₄ ⊆ Aut C₂⁴	8	4+	C2^4:2D4	128,928
C₂⁴⋊₃D₄ = C₄²⋊₅D₄	φ: D₄/C₁ → D₄ ⊆ Aut C₂⁴	16	8+	C2^4:3D4	128,931
C₂⁴⋊₄D₄ = C₂×C₂≀C₂²	φ: D₄/C₁ → D₄ ⊆ Aut C₂⁴	16		C2^4:4D4	128,1755
C₂⁴⋊₅D₄ = C₂⁴⋊C₂³	φ: D₄/C₁ → D₄ ⊆ Aut C₂⁴	16	8+	C2^4:5D4	128,1758
C₂⁴⋊₆D₄ = C₂×C₂³⋊₂D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	64		C2^4:6D4	128,1116
C₂⁴⋊₇D₄ = C₂⁴⋊₇D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	32		C2^4:7D4	128,1135
C₂⁴⋊₈D₄ = C₂⁴⋊₈D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	32		C2^4:8D4	128,1142
C₂⁴⋊₉D₄ = C₂⁴⋊₉D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	32		C2^4:9D4	128,1345
C₂⁴⋊₁₀D₄ = C₂⁴⋊₁₀D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	32		C2^4:10D4	128,1349
C₂⁴⋊₁₁D₄ = C₂⁴⋊₁₁D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	32		C2^4:11D4	128,1544
C₂⁴⋊₁₂D₄ = C₂×C₂³⋊₃D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	32		C2^4:12D4	128,2177
C₂⁴⋊₁₃D₄ = C₂⁴⋊₁₃D₄	φ: D₄/C₄ → C₂ ⊆ Aut C₂⁴	32		C2^4:13D4	128,1579
C₂⁴⋊₁₄D₄ = C₂²×C₄⋊D₄	φ: D₄/C₄ → C₂ ⊆ Aut C₂⁴	64		C2^4:14D4	128,2164
C₂⁴⋊₁₅D₄ = C₂³≀C₂	φ: D₄/C₂² → C₂ ⊆ Aut C₂⁴	16		C2^4:15D4	128,1578
C₂⁴⋊₁₆D₄ = C₂²×C₂²≀C₂	φ: D₄/C₂² → C₂ ⊆ Aut C₂⁴	32		C2^4:16D4	128,2163

Non-split extensions G=N.Q with N=C₂⁴ and Q=D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂⁴.₁D₄ = C₂⁴.D₄	φ: D₄/C₁ → D₄ ⊆ Aut C₂⁴	16		C2^4.1D4	128,75
C₂⁴.₂D₄ = C₂³.₄D₈	φ: D₄/C₁ → D₄ ⊆ Aut C₂⁴	32		C2^4.2D4	128,76
C₂⁴.₃D₄ = C₂³.Q₁₆	φ: D₄/C₁ → D₄ ⊆ Aut C₂⁴	32		C2^4.3D4	128,83
C₂⁴.₄D₄ = C₂⁴.₄D₄	φ: D₄/C₁ → D₄ ⊆ Aut C₂⁴	32		C2^4.4D4	128,84
C₂⁴.₅D₄ = C₂⁴.₅D₄	φ: D₄/C₁ → D₄ ⊆ Aut C₂⁴	32		C2^4.5D4	128,122
C₂⁴.₆D₄ = C₂⁴.₆D₄	φ: D₄/C₁ → D₄ ⊆ Aut C₂⁴	32		C2^4.6D4	128,125
C₂⁴.₇D₄ = C₂³⋊D₈	φ: D₄/C₁ → D₄ ⊆ Aut C₂⁴	16		C2^4.7D4	128,327
C₂⁴.₈D₄ = C₂³⋊SD₁₆	φ: D₄/C₁ → D₄ ⊆ Aut C₂⁴	16		C2^4.8D4	128,328
C₂⁴.₉D₄ = C₂⁴.₉D₄	φ: D₄/C₁ → D₄ ⊆ Aut C₂⁴	16		C2^4.9D4	128,332
C₂⁴.₁₀D₄ = C₂³⋊₂SD₁₆	φ: D₄/C₁ → D₄ ⊆ Aut C₂⁴	32		C2^4.10D4	128,333
C₂⁴.₁₁D₄ = C₂³⋊Q₁₆	φ: D₄/C₁ → D₄ ⊆ Aut C₂⁴	32		C2^4.11D4	128,334
C₂⁴.₁₂D₄ = C₂⁴.₁₂D₄	φ: D₄/C₁ → D₄ ⊆ Aut C₂⁴	32		C2^4.12D4	128,338
C₂⁴.₁₃D₄ = C₂³.₅D₈	φ: D₄/C₁ → D₄ ⊆ Aut C₂⁴	32		C2^4.13D4	128,339
C₂⁴.₁₄D₄ = C₂⁴.₁₄D₄	φ: D₄/C₁ → D₄ ⊆ Aut C₂⁴	32		C2^4.14D4	128,340
C₂⁴.₁₅D₄ = C₂⁴.₁₅D₄	φ: D₄/C₁ → D₄ ⊆ Aut C₂⁴	32		C2^4.15D4	128,344
C₂⁴.₁₆D₄ = C₂⁴.₁₆D₄	φ: D₄/C₁ → D₄ ⊆ Aut C₂⁴	32		C2^4.16D4	128,345
C₂⁴.₁₇D₄ = C₂⁴.₁₇D₄	φ: D₄/C₁ → D₄ ⊆ Aut C₂⁴	32		C2^4.17D4	128,346
C₂⁴.₁₈D₄ = C₂⁴.₁₈D₄	φ: D₄/C₁ → D₄ ⊆ Aut C₂⁴	32		C2^4.18D4	128,350
C₂⁴.₁₉D₄ = 2₊¹⁺⁴⋊₂C₄	φ: D₄/C₁ → D₄ ⊆ Aut C₂⁴	32		C2^4.19D4	128,522
C₂⁴.₂₀D₄ = 2₊¹⁺⁴⋊₃C₄	φ: D₄/C₁ → D₄ ⊆ Aut C₂⁴	32		C2^4.20D4	128,524
C₂⁴.₂₁D₄ = C₂⁴.₂₁D₄	φ: D₄/C₁ → D₄ ⊆ Aut C₂⁴	32		C2^4.21D4	128,588
C₂⁴.₂₂D₄ = C₂⁴.₂₂D₄	φ: D₄/C₁ → D₄ ⊆ Aut C₂⁴	32		C2^4.22D4	128,599
C₂⁴.₂₃D₄ = C₂⁴.₂₃D₄	φ: D₄/C₁ → D₄ ⊆ Aut C₂⁴	32		C2^4.23D4	128,617
C₂⁴.₂₄D₄ = C₂⁴.₂₄D₄	φ: D₄/C₁ → D₄ ⊆ Aut C₂⁴	16		C2^4.24D4	128,619
C₂⁴.₂₅D₄ = C₂⁵.C₂²	φ: D₄/C₁ → D₄ ⊆ Aut C₂⁴	16		C2^4.25D4	128,621
C₂⁴.₂₆D₄ = C₂⁴.₂₆D₄	φ: D₄/C₁ → D₄ ⊆ Aut C₂⁴	32		C2^4.26D4	128,622
C₂⁴.₂₇D₄ = C₄²⋊D₄	φ: D₄/C₁ → D₄ ⊆ Aut C₂⁴	16	8+	C2^4.27D4	128,643
C₂⁴.₂₈D₄ = C₂⁴.₂₈D₄	φ: D₄/C₁ → D₄ ⊆ Aut C₂⁴	16	8+	C2^4.28D4	128,645
C₂⁴.₂₉D₄ = C₄²⋊₉D₄	φ: D₄/C₁ → D₄ ⊆ Aut C₂⁴	16		C2^4.29D4	128,734
C₂⁴.₃₀D₄ = C₄²⋊₁₀D₄	φ: D₄/C₁ → D₄ ⊆ Aut C₂⁴	32		C2^4.30D4	128,736
C₂⁴.₃₁D₄ = C₂⁴.₃₁D₄	φ: D₄/C₁ → D₄ ⊆ Aut C₂⁴	32		C2^4.31D4	128,754
C₂⁴.₃₂D₄ = M₄(2)⋊₆D₄	φ: D₄/C₁ → D₄ ⊆ Aut C₂⁴	32		C2^4.32D4	128,769
C₂⁴.₃₃D₄ = C₂⁴.₃₃D₄	φ: D₄/C₁ → D₄ ⊆ Aut C₂⁴	32		C2^4.33D4	128,776
C₂⁴.₃₄D₄ = C₂×C₂≀C₄	φ: D₄/C₁ → D₄ ⊆ Aut C₂⁴	16		C2^4.34D4	128,850
C₂⁴.₃₅D₄ = C₂×C₂³.D₄	φ: D₄/C₁ → D₄ ⊆ Aut C₂⁴	32		C2^4.35D4	128,851
C₂⁴.₃₆D₄ = C₂⁴.₃₆D₄	φ: D₄/C₁ → D₄ ⊆ Aut C₂⁴	16	8+	C2^4.36D4	128,853
C₂⁴.₃₇D₄ = C₂×C₄²⋊C₄	φ: D₄/C₁ → D₄ ⊆ Aut C₂⁴	16		C2^4.37D4	128,856
C₂⁴.₃₈D₄ = C₂×C₄²⋊₃C₄	φ: D₄/C₁ → D₄ ⊆ Aut C₂⁴	32		C2^4.38D4	128,857
C₂⁴.₃₉D₄ = C₂⁴.₃₉D₄	φ: D₄/C₁ → D₄ ⊆ Aut C₂⁴	16	8+	C2^4.39D4	128,859
C₂⁴.₄₀D₄ = C₄²⋊₄D₄	φ: D₄/C₁ → D₄ ⊆ Aut C₂⁴	16	4	C2^4.40D4	128,929
C₂⁴.₄₁D₄ = C₄²⋊₆D₄	φ: D₄/C₁ → D₄ ⊆ Aut C₂⁴	16	8+	C2^4.41D4	128,932
C₂⁴.₄₂D₄ = C₂×D₄⋊₄D₄	φ: D₄/C₁ → D₄ ⊆ Aut C₂⁴	16		C2^4.42D4	128,1746
C₂⁴.₄₃D₄ = C₂×D₄.₉D₄	φ: D₄/C₁ → D₄ ⊆ Aut C₂⁴	32		C2^4.43D4	128,1747
C₂⁴.₄₄D₄ = M₄(2)⋊C₂³	φ: D₄/C₁ → D₄ ⊆ Aut C₂⁴	16	8+	C2^4.44D4	128,1751
C₂⁴.₄₅D₄ = C₂×C₂³.₇D₄	φ: D₄/C₁ → D₄ ⊆ Aut C₂⁴	32		C2^4.45D4	128,1756
C₂⁴.₄₆D₄ = C₂⁴.₄₆D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	32		C2^4.46D4	128,16
C₂⁴.₄₇D₄ = C₂³.₈D₈	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	32		C2^4.47D4	128,21
C₂⁴.₄₈D₄ = C₂⁴.₄₈D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	32		C2^4.48D4	128,29
C₂⁴.₄₉D₄ = C₂⁴.₄Q₈	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	16		C2^4.49D4	128,36
C₂⁴.₅₀D₄ = C₂⁴.₅₀D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	64		C2^4.50D4	128,170
C₂⁴.₅₁D₄ = C₂⁴.₅Q₈	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	64		C2^4.51D4	128,171
C₂⁴.₅₂D₄ = C₂⁴.₅₂D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	64		C2^4.52D4	128,172
C₂⁴.₅₃D₄ = C₂⁴.₅₃D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	32		C2^4.53D4	128,233
C₂⁴.₅₄D₄ = C₂⁴.₅₄D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	32		C2^4.54D4	128,239
C₂⁴.₅₅D₄ = C₂⁴.₅₅D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	32		C2^4.55D4	128,240
C₂⁴.₅₆D₄ = C₂⁴.₅₆D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	32		C2^4.56D4	128,242
C₂⁴.₅₇D₄ = C₂⁴.₅₇D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	32		C2^4.57D4	128,243
C₂⁴.₅₈D₄ = C₂⁴.₅₈D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	32		C2^4.58D4	128,245
C₂⁴.₅₉D₄ = C₂⁴.₅₉D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	32		C2^4.59D4	128,248
C₂⁴.₆₀D₄ = C₂⁴.₆₀D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	32		C2^4.60D4	128,251
C₂⁴.₆₁D₄ = C₂⁴.₆₁D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	32		C2^4.61D4	128,252
C₂⁴.₆₂D₄ = C₂×C₄.₉C₄²	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	32		C2^4.62D4	128,462
C₂⁴.₆₃D₄ = C₂⁴.₆₃D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	32		C2^4.63D4	128,465
C₂⁴.₆₄D₄ = C₂⁵⋊C₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	16		C2^4.64D4	128,513
C₂⁴.₆₅D₄ = C₂⁴.₆₅D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	64		C2^4.65D4	128,520
C₂⁴.₆₆D₄ = C₂⁴.₆₆D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	32		C2^4.66D4	128,521
C₂⁴.₆₇D₄ = C₂⁴.₆₇D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	64		C2^4.67D4	128,541
C₂⁴.₆₈D₄ = C₂⁴.₆₈D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	16		C2^4.68D4	128,551
C₂⁴.₆₉D₄ = C₂⁴.₆₉D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	64		C2^4.69D4	128,557
C₂⁴.₇₀D₄ = C₂⁴.₇₀D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	32		C2^4.70D4	128,558
C₂⁴.₇₁D₄ = C₂⁴.₇₁D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	64		C2^4.71D4	128,586
C₂⁴.₇₂D₄ = C₂⁴.₇₂D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	32		C2^4.72D4	128,603
C₂⁴.₇₃D₄ = C₂⁴.₇₃D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	64		C2^4.73D4	128,605
C₂⁴.₇₄D₄ = C₂⁴.₇₄D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	64		C2^4.74D4	128,607
C₂⁴.₇₅D₄ = C₂⁴.₇₅D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	64		C2^4.75D4	128,626
C₂⁴.₇₆D₄ = C₂⁴.₇₆D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	64		C2^4.76D4	128,627
C₂⁴.₇₇D₄ = C₄²⋊₇D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	32		C2^4.77D4	128,629
C₂⁴.₇₈D₄ = C₂⁴.₇₈D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	16		C2^4.78D4	128,630
C₂⁴.₇₉D₄ = C₂³⋊₂D₈	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	64		C2^4.79D4	128,731
C₂⁴.₈₀D₄ = C₂³⋊₃SD₁₆	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	64		C2^4.80D4	128,732
C₂⁴.₈₁D₄ = C₂³⋊₂Q₁₆	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	64		C2^4.81D4	128,733
C₂⁴.₈₂D₄ = C₄²⋊₂D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	16	4	C2^4.82D4	128,742
C₂⁴.₈₃D₄ = C₂⁴.₈₃D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	64		C2^4.83D4	128,765
C₂⁴.₈₄D₄ = C₂⁴.₈₄D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	64		C2^4.84D4	128,766
C₂⁴.₈₅D₄ = C₂⁴.₈₅D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	64		C2^4.85D4	128,767
C₂⁴.₈₆D₄ = C₂⁴.₈₆D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	64		C2^4.86D4	128,768
C₂⁴.₈₇D₄ = C₂³.₁₂D₈	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	64		C2^4.87D4	128,807
C₂⁴.₈₈D₄ = C₂⁴.₈₈D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	64		C2^4.88D4	128,808
C₂⁴.₈₉D₄ = C₂⁴.₈₉D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	64		C2^4.89D4	128,809
C₂⁴.₉₀D₄ = C₂⁴.₉₀D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	32		C2^4.90D4	128,1040
C₂⁴.₉₁D₄ = C₂⁴.₉₁D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	32		C2^4.91D4	128,1047
C₂⁴.₉₂D₄ = C₂×C₂³.₁₀D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	64		C2^4.92D4	128,1118
C₂⁴.₉₃D₄ = C₂×C₂³.₁₁D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	64		C2^4.93D4	128,1122
C₂⁴.₉₄D₄ = C₂⁴.₉₄D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	32		C2^4.94D4	128,1137
C₂⁴.₉₅D₄ = C₂⁴.₉₅D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	32		C2^4.95D4	128,1144
C₂⁴.₉₆D₄ = C₂⁴.₉₆D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	32		C2^4.96D4	128,1215
C₂⁴.₉₇D₄ = C₂⁴.₉₇D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	32		C2^4.97D4	128,1354
C₂⁴.₉₈D₄ = C₂⁴.₉₈D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	32		C2^4.98D4	128,1628
C₂⁴.₉₉D₄ = C₂×C₄²⋊C₂²	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	32		C2^4.99D4	128,1632
C₂⁴.₁₀₀D₄ = C₂⁴.₁₀₀D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	32		C2^4.100D4	128,1643
C₂⁴.₁₀₁D₄ = C₂×D₄⋊D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	64		C2^4.101D4	128,1732
C₂⁴.₁₀₂D₄ = C₂×D₄.₇D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	64		C2^4.102D4	128,1733
C₂⁴.₁₀₃D₄ = C₂⁴.₁₀₃D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	32		C2^4.103D4	128,1734
C₂⁴.₁₀₄D₄ = C₂⁴.₁₀₄D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	32		C2^4.104D4	128,1737
C₂⁴.₁₀₅D₄ = C₂⁴.₁₀₅D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	32		C2^4.105D4	128,1738
C₂⁴.₁₀₆D₄ = C₂⁴.₁₀₆D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	32		C2^4.106D4	128,1739
C₂⁴.₁₀₇D₄ = C₂×C₈⋊D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	64		C2^4.107D4	128,1783
C₂⁴.₁₀₈D₄ = C₂×C₈⋊₂D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	64		C2^4.108D4	128,1784
C₂⁴.₁₀₉D₄ = C₂×C₈.D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	64		C2^4.109D4	128,1785
C₂⁴.₁₁₀D₄ = C₂⁴.₁₁₀D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	32		C2^4.110D4	128,1786
C₂⁴.₁₁₁D₄ = M₄(2)⋊₁₄D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	32		C2^4.111D4	128,1787
C₂⁴.₁₁₂D₄ = M₄(2)⋊₁₅D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	32		C2^4.112D4	128,1788
C₂⁴.₁₁₃D₄ = C₂×C₂³.₁₉D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	64		C2^4.113D4	128,1819
C₂⁴.₁₁₄D₄ = C₂×C₂³.₂₀D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	64		C2^4.114D4	128,1820
C₂⁴.₁₁₅D₄ = C₂⁴.₁₁₅D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	32		C2^4.115D4	128,1823
C₂⁴.₁₁₆D₄ = C₂⁴.₁₁₆D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	32		C2^4.116D4	128,1825
C₂⁴.₁₁₇D₄ = C₂⁴.₁₁₇D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	32		C2^4.117D4	128,1826
C₂⁴.₁₁₈D₄ = C₂⁴.₁₁₈D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	32		C2^4.118D4	128,1827
C₂⁴.₁₁₉D₄ = C₂³⋊₃D₈	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	32		C2^4.119D4	128,1918
C₂⁴.₁₂₀D₄ = C₂³⋊₄SD₁₆	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	32		C2^4.120D4	128,1919
C₂⁴.₁₂₁D₄ = C₂⁴.₁₂₁D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	32		C2^4.121D4	128,1920
C₂⁴.₁₂₂D₄ = C₂³⋊₃Q₁₆	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	32		C2^4.122D4	128,1921
C₂⁴.₁₂₃D₄ = C₂⁴.₁₂₃D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	32		C2^4.123D4	128,1922
C₂⁴.₁₂₄D₄ = C₂⁴.₁₂₄D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	32		C2^4.124D4	128,1923
C₂⁴.₁₂₅D₄ = C₂⁴.₁₂₅D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	32		C2^4.125D4	128,1924
C₂⁴.₁₂₆D₄ = C₂⁴.₁₂₆D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	32		C2^4.126D4	128,1925
C₂⁴.₁₂₇D₄ = C₂⁴.₁₂₇D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	32		C2^4.127D4	128,1926
C₂⁴.₁₂₈D₄ = C₂⁴.₁₂₈D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	32		C2^4.128D4	128,1927
C₂⁴.₁₂₉D₄ = C₂⁴.₁₂₉D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	32		C2^4.129D4	128,1928
C₂⁴.₁₃₀D₄ = C₂⁴.₁₃₀D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	32		C2^4.130D4	128,1929
C₂⁴.₁₃₁D₄ = C₂×D₈⋊C₂²	φ: D₄/C₂ → C₂² ⊆ Aut C₂⁴	32		C2^4.131D4	128,2312
C₂⁴.₁₃₂D₄ = C₂⁴.₁₃₂D₄	φ: D₄/C₄ → C₂ ⊆ Aut C₂⁴	64		C2^4.132D4	128,467
C₂⁴.₁₃₃D₄ = C₂⁴.₁₃₃D₄	φ: D₄/C₄ → C₂ ⊆ Aut C₂⁴	64		C2^4.133D4	128,539
C₂⁴.₁₃₄D₄ = C₂³.₂₂D₈	φ: D₄/C₄ → C₂ ⊆ Aut C₂⁴	64		C2^4.134D4	128,540
C₂⁴.₁₃₅D₄ = C₂⁴.₁₃₅D₄	φ: D₄/C₄ → C₂ ⊆ Aut C₂⁴	64		C2^4.135D4	128,624
C₂⁴.₁₃₆D₄ = C₂³.₂₃D₈	φ: D₄/C₄ → C₂ ⊆ Aut C₂⁴	64		C2^4.136D4	128,625
C₂⁴.₁₃₇D₄ = C₂×C₂³.₇Q₈	φ: D₄/C₄ → C₂ ⊆ Aut C₂⁴	64		C2^4.137D4	128,1010
C₂⁴.₁₃₈D₄ = C₂×C₂³.₂₃D₄	φ: D₄/C₄ → C₂ ⊆ Aut C₂⁴	64		C2^4.138D4	128,1019
C₂⁴.₁₃₉D₄ = C₂×C₂³.₂₄D₄	φ: D₄/C₄ → C₂ ⊆ Aut C₂⁴	64		C2^4.139D4	128,1624
C₂⁴.₁₄₀D₄ = C₂×C₂³.₂₅D₄	φ: D₄/C₄ → C₂ ⊆ Aut C₂⁴	64		C2^4.140D4	128,1641
C₂⁴.₁₄₁D₄ = C₂×C₈⋊₈D₄	φ: D₄/C₄ → C₂ ⊆ Aut C₂⁴	64		C2^4.141D4	128,1779
C₂⁴.₁₄₂D₄ = C₂×C₈⋊₇D₄	φ: D₄/C₄ → C₂ ⊆ Aut C₂⁴	64		C2^4.142D4	128,1780
C₂⁴.₁₄₃D₄ = C₂×C₈.₁₈D₄	φ: D₄/C₄ → C₂ ⊆ Aut C₂⁴	64		C2^4.143D4	128,1781
C₂⁴.₁₄₄D₄ = C₂⁴.₁₄₄D₄	φ: D₄/C₄ → C₂ ⊆ Aut C₂⁴	32		C2^4.144D4	128,1782
C₂⁴.₁₄₅D₄ = C₂²×C₄○D₈	φ: D₄/C₄ → C₂ ⊆ Aut C₂⁴	64		C2^4.145D4	128,2309
C₂⁴.₁₄₆D₄ = C₂³.₃₀D₈	φ: D₄/C₂² → C₂ ⊆ Aut C₂⁴	32		C2^4.146D4	128,26
C₂⁴.₁₄₇D₄ = C₂⁴.₁₇Q₈	φ: D₄/C₂² → C₂ ⊆ Aut C₂⁴	64		C2^4.147D4	128,165
C₂⁴.₁₄₈D₄ = C₂×C₂².SD₁₆	φ: D₄/C₂² → C₂ ⊆ Aut C₂⁴	32		C2^4.148D4	128,230
C₂⁴.₁₄₉D₄ = C₂×C₂³.₃₁D₄	φ: D₄/C₂² → C₂ ⊆ Aut C₂⁴	32		C2^4.149D4	128,231
C₂⁴.₁₅₀D₄ = C₂⁴.₁₅₀D₄	φ: D₄/C₂² → C₂ ⊆ Aut C₂⁴	16		C2^4.150D4	128,236
C₂⁴.₁₅₁D₄ = C₂×C₄²⋊₆C₄	φ: D₄/C₂² → C₂ ⊆ Aut C₂⁴	32		C2^4.151D4	128,464
C₂⁴.₁₅₂D₄ = C₂⁴.₁₅₂D₄	φ: D₄/C₂² → C₂ ⊆ Aut C₂⁴	64		C2^4.152D4	128,468
C₂⁴.₁₅₃D₄ = C₂×C₂³.₉D₄	φ: D₄/C₂² → C₂ ⊆ Aut C₂⁴	32		C2^4.153D4	128,471
C₂⁴.₁₅₄D₄ = C₂³.₃₅D₈	φ: D₄/C₂² → C₂ ⊆ Aut C₂⁴	32		C2^4.154D4	128,518
C₂⁴.₁₅₅D₄ = C₂⁴.₁₅₅D₄	φ: D₄/C₂² → C₂ ⊆ Aut C₂⁴	64		C2^4.155D4	128,519
C₂⁴.₁₅₆D₄ = C₂³.₃₆D₈	φ: D₄/C₂² → C₂ ⊆ Aut C₂⁴	64		C2^4.156D4	128,555
C₂⁴.₁₅₇D₄ = C₂⁴.₁₅₇D₄	φ: D₄/C₂² → C₂ ⊆ Aut C₂⁴	64		C2^4.157D4	128,556
C₂⁴.₁₅₈D₄ = C₂³.₃₇D₈	φ: D₄/C₂² → C₂ ⊆ Aut C₂⁴	64		C2^4.158D4	128,584
C₂⁴.₁₅₉D₄ = C₂⁴.₁₅₉D₄	φ: D₄/C₂² → C₂ ⊆ Aut C₂⁴	64		C2^4.159D4	128,585
C₂⁴.₁₆₀D₄ = C₂⁴.₁₆₀D₄	φ: D₄/C₂² → C₂ ⊆ Aut C₂⁴	64		C2^4.160D4	128,604
C₂⁴.₁₆₁D₄ = C₂³.₃₈D₈	φ: D₄/C₂² → C₂ ⊆ Aut C₂⁴	64		C2^4.161D4	128,606
C₂⁴.₁₆₂D₄ = (C₂×C₄)≀C₂	φ: D₄/C₂² → C₂ ⊆ Aut C₂⁴	16		C2^4.162D4	128,628
C₂⁴.₁₆₃D₄ = C₂×C₂⁴⋊₃C₄	φ: D₄/C₂² → C₂ ⊆ Aut C₂⁴	32		C2^4.163D4	128,1009
C₂⁴.₁₆₄D₄ = C₂×C₂³.₃₄D₄	φ: D₄/C₂² → C₂ ⊆ Aut C₂⁴	64		C2^4.164D4	128,1011
C₂⁴.₁₆₅D₄ = C₂×C₂³.₈Q₈	φ: D₄/C₂² → C₂ ⊆ Aut C₂⁴	64		C2^4.165D4	128,1018
C₂⁴.₁₆₆D₄ = C₂⁴.₁₆₆D₄	φ: D₄/C₂² → C₂ ⊆ Aut C₂⁴	32		C2^4.166D4	128,1581
C₂⁴.₁₆₇D₄ = C₂²×C₂³⋊C₄	φ: D₄/C₂² → C₂ ⊆ Aut C₂⁴	32		C2^4.167D4	128,1613
C₂⁴.₁₆₈D₄ = C₂×C₂³.₃₇D₄	φ: D₄/C₂² → C₂ ⊆ Aut C₂⁴	32		C2^4.168D4	128,1625
C₂⁴.₁₆₉D₄ = C₂×C₂³.₃₈D₄	φ: D₄/C₂² → C₂ ⊆ Aut C₂⁴	64		C2^4.169D4	128,1626
C₂⁴.₁₇₀D₄ = C₂×C₂³.₃₆D₄	φ: D₄/C₂² → C₂ ⊆ Aut C₂⁴	64		C2^4.170D4	128,1627
C₂⁴.₁₇₁D₄ = C₂²×C₄≀C₂	φ: D₄/C₂² → C₂ ⊆ Aut C₂⁴	32		C2^4.171D4	128,1631
C₂⁴.₁₇₂D₄ = C₂×M₄(2)⋊C₄	φ: D₄/C₂² → C₂ ⊆ Aut C₂⁴	64		C2^4.172D4	128,1642
C₂⁴.₁₇₃D₄ = C₂×C₂²⋊D₈	φ: D₄/C₂² → C₂ ⊆ Aut C₂⁴	32		C2^4.173D4	128,1728
C₂⁴.₁₇₄D₄ = C₂×C₂²⋊SD₁₆	φ: D₄/C₂² → C₂ ⊆ Aut C₂⁴	32		C2^4.174D4	128,1729
C₂⁴.₁₇₅D₄ = C₂×Q₈⋊D₄	φ: D₄/C₂² → C₂ ⊆ Aut C₂⁴	64		C2^4.175D4	128,1730
C₂⁴.₁₇₆D₄ = C₂×C₂²⋊Q₁₆	φ: D₄/C₂² → C₂ ⊆ Aut C₂⁴	64		C2^4.176D4	128,1731
C₂⁴.₁₇₇D₄ = C₂⁴.₁₇₇D₄	φ: D₄/C₂² → C₂ ⊆ Aut C₂⁴	16		C2^4.177D4	128,1735
C₂⁴.₁₇₈D₄ = C₂⁴.₁₇₈D₄	φ: D₄/C₂² → C₂ ⊆ Aut C₂⁴	32		C2^4.178D4	128,1736
C₂⁴.₁₇₉D₄ = C₂×C₂².D₈	φ: D₄/C₂² → C₂ ⊆ Aut C₂⁴	64		C2^4.179D4	128,1817
C₂⁴.₁₈₀D₄ = C₂×C₂³.₄₇D₄	φ: D₄/C₂² → C₂ ⊆ Aut C₂⁴	64		C2^4.180D4	128,1818
C₂⁴.₁₈₁D₄ = C₂×C₂³.₄₆D₄	φ: D₄/C₂² → C₂ ⊆ Aut C₂⁴	64		C2^4.181D4	128,1821
C₂⁴.₁₈₂D₄ = C₂×C₂³.₄₈D₄	φ: D₄/C₂² → C₂ ⊆ Aut C₂⁴	64		C2^4.182D4	128,1822
C₂⁴.₁₈₃D₄ = C₂⁴.₁₈₃D₄	φ: D₄/C₂² → C₂ ⊆ Aut C₂⁴	32		C2^4.183D4	128,1824
C₂⁴.₁₈₄D₄ = C₂²×C₂².D₄	φ: D₄/C₂² → C₂ ⊆ Aut C₂⁴	64		C2^4.184D4	128,2166
C₂⁴.₁₈₅D₄ = C₂²×C₈⋊C₂²	φ: D₄/C₂² → C₂ ⊆ Aut C₂⁴	32		C2^4.185D4	128,2310
C₂⁴.₁₈₆D₄ = C₂²×C₈.C₂²	φ: D₄/C₂² → C₂ ⊆ Aut C₂⁴	64		C2^4.186D4	128,2311
C₂⁴.₁₈₇D₄ = C₂×C₂².₄Q₁₆	central extension (φ=1)	128		C2^4.187D4	128,466
C₂⁴.₁₈₈D₄ = C₂²×C₂.C₄²	central extension (φ=1)	128		C2^4.188D4	128,998
C₂⁴.₁₈₉D₄ = C₂²×D₄⋊C₄	central extension (φ=1)	64		C2^4.189D4	128,1622
C₂⁴.₁₉₀D₄ = C₂²×Q₈⋊C₄	central extension (φ=1)	128		C2^4.190D4	128,1623
C₂⁴.₁₉₁D₄ = C₂²×C₄.Q₈	central extension (φ=1)	128		C2^4.191D4	128,1639
C₂⁴.₁₉₂D₄ = C₂²×C₂.D₈	central extension (φ=1)	128		C2^4.192D4	128,1640
C₂⁴.₁₉₃D₄ = C₂³×C₂²⋊C₄	central extension (φ=1)	64		C2^4.193D4	128,2151
C₂⁴.₁₉₄D₄ = C₂³×C₄⋊C₄	central extension (φ=1)	128		C2^4.194D4	128,2152
C₂⁴.₁₉₅D₄ = C₂³×D₈	central extension (φ=1)	64		C2^4.195D4	128,2306
C₂⁴.₁₉₆D₄ = C₂³×SD₁₆	central extension (φ=1)	64		C2^4.196D4	128,2307
C₂⁴.₁₉₇D₄ = C₂³×Q₁₆	central extension (φ=1)	128		C2^4.197D4	128,2308

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Extensions 1→N→G→Q→1 with N=C24 and Q=D4

Extensions 1→N→G→Q→1 with N=C₂⁴ and Q=D₄