Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂²⋊Q₈

Direct product G=N×Q with N=C₂² and Q=C₂²⋊Q₈

		d	ρ	Label	ID
C₂²×C₂²⋊Q₈		64		C2^2xC2^2:Q8	128,2165

Semidirect products G=N:Q with N=C₂² and Q=C₂²⋊Q₈

extension	φ:Q→Aut N	d	Label	ID
C₂²⋊₁(C₂²⋊Q₈) = C₂⁴⋊₄Q₈	φ: C₂²⋊Q₈/C₂²⋊C₄ → C₂ ⊆ Aut C₂²	32	C2^2:1(C2^2:Q8)	128,1169
C₂²⋊₂(C₂²⋊Q₈) = C₂⁴.₂₅₂C₂³	φ: C₂²⋊Q₈/C₄⋊C₄ → C₂ ⊆ Aut C₂²	64	C2^2:2(C2^2:Q8)	128,1149
C₂²⋊₃(C₂²⋊Q₈) = C₂³.₃₄₉C₂⁴	φ: C₂²⋊Q₈/C₄⋊C₄ → C₂ ⊆ Aut C₂²	64	C2^2:3(C2^2:Q8)	128,1181
C₂²⋊₄(C₂²⋊Q₈) = C₂⁴⋊₈Q₈	φ: C₂²⋊Q₈/C₂²×C₄ → C₂ ⊆ Aut C₂²	32	C2^2:4(C2^2:Q8)	128,1580
C₂²⋊₅(C₂²⋊Q₈) = C₂³.₃₀₉C₂⁴	φ: C₂²⋊Q₈/C₂×Q₈ → C₂ ⊆ Aut C₂²	64	C2^2:5(C2^2:Q8)	128,1141

Non-split extensions G=N.Q with N=C₂² and Q=C₂²⋊Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₂²⋊Q₈) = C₂⁴.₁₀Q₈	φ: C₂²⋊Q₈/C₂²⋊C₄ → C₂ ⊆ Aut C₂²	32		C2^2.1(C2^2:Q8)	128,587
C₂².₂(C₂²⋊Q₈) = M₄(2).₄₁D₄	φ: C₂²⋊Q₈/C₂²⋊C₄ → C₂ ⊆ Aut C₂²	16	4	C2^2.2(C2^2:Q8)	128,593
C₂².₃(C₂²⋊Q₈) = C₄².₈D₄	φ: C₂²⋊Q₈/C₂²⋊C₄ → C₂ ⊆ Aut C₂²	16	4	C2^2.3(C2^2:Q8)	128,763
C₂².₄(C₂²⋊Q₈) = C₂⁴⋊Q₈	φ: C₂²⋊Q₈/C₂²⋊C₄ → C₂ ⊆ Aut C₂²	16	8+	C2^2.4(C2^2:Q8)	128,764
C₂².₅(C₂²⋊Q₈) = M₄(2).₁₂D₄	φ: C₂²⋊Q₈/C₂²⋊C₄ → C₂ ⊆ Aut C₂²	32		C2^2.5(C2^2:Q8)	128,795
C₂².₆(C₂²⋊Q₈) = M₄(2).₁₃D₄	φ: C₂²⋊Q₈/C₂²⋊C₄ → C₂ ⊆ Aut C₂²	64		C2^2.6(C2^2:Q8)	128,796
C₂².₇(C₂²⋊Q₈) = C₂⁴.Q₈	φ: C₂²⋊Q₈/C₂²⋊C₄ → C₂ ⊆ Aut C₂²	16	8+	C2^2.7(C2^2:Q8)	128,801
C₂².₈(C₂²⋊Q₈) = M₄(2).₁₅D₄	φ: C₂²⋊Q₈/C₂²⋊C₄ → C₂ ⊆ Aut C₂²	32	8-	C2^2.8(C2^2:Q8)	128,802
C₂².₉(C₂²⋊Q₈) = C₂⁴.₅₆₇C₂³	φ: C₂²⋊Q₈/C₂²⋊C₄ → C₂ ⊆ Aut C₂²	64		C2^2.9(C2^2:Q8)	128,1170
C₂².₁₀(C₂²⋊Q₈) = C₄².₂₀C₂³	φ: C₂²⋊Q₈/C₂²⋊C₄ → C₂ ⊆ Aut C₂²	32		C2^2.10(C2^2:Q8)	128,1813
C₂².₁₁(C₂²⋊Q₈) = C₄².₂₁C₂³	φ: C₂²⋊Q₈/C₂²⋊C₄ → C₂ ⊆ Aut C₂²	64		C2^2.11(C2^2:Q8)	128,1814
C₂².₁₂(C₂²⋊Q₈) = (C₂×C₈).₁₀₃D₄	φ: C₂²⋊Q₈/C₄⋊C₄ → C₂ ⊆ Aut C₂²	32	4	C2^2.12(C2^2:Q8)	128,545
C₂².₁₃(C₂²⋊Q₈) = C₄○D₄.₄Q₈	φ: C₂²⋊Q₈/C₄⋊C₄ → C₂ ⊆ Aut C₂²	64		C2^2.13(C2^2:Q8)	128,547
C₂².₁₄(C₂²⋊Q₈) = C₄○D₄.₅Q₈	φ: C₂²⋊Q₈/C₄⋊C₄ → C₂ ⊆ Aut C₂²	64		C2^2.14(C2^2:Q8)	128,548
C₂².₁₅(C₂²⋊Q₈) = M₄(2).₄₀D₄	φ: C₂²⋊Q₈/C₄⋊C₄ → C₂ ⊆ Aut C₂²	32	4	C2^2.15(C2^2:Q8)	128,590
C₂².₁₆(C₂²⋊Q₈) = M₄(2).₄₂D₄	φ: C₂²⋊Q₈/C₄⋊C₄ → C₂ ⊆ Aut C₂²	32		C2^2.16(C2^2:Q8)	128,598
C₂².₁₇(C₂²⋊Q₈) = C₂³.₃₅₀C₂⁴	φ: C₂²⋊Q₈/C₄⋊C₄ → C₂ ⊆ Aut C₂²	64		C2^2.17(C2^2:Q8)	128,1182
C₂².₁₈(C₂²⋊Q₈) = C₂⁴.₅₈₃C₂³	φ: C₂²⋊Q₈/C₄⋊C₄ → C₂ ⊆ Aut C₂²	64		C2^2.18(C2^2:Q8)	128,1296
C₂².₁₉(C₂²⋊Q₈) = C₄².₄₄₇D₄	φ: C₂²⋊Q₈/C₄⋊C₄ → C₂ ⊆ Aut C₂²	64		C2^2.19(C2^2:Q8)	128,1808
C₂².₂₀(C₂²⋊Q₈) = C₄².₂₂C₂³	φ: C₂²⋊Q₈/C₄⋊C₄ → C₂ ⊆ Aut C₂²	64		C2^2.20(C2^2:Q8)	128,1815
C₂².₂₁(C₂²⋊Q₈) = C₄².₂₃C₂³	φ: C₂²⋊Q₈/C₄⋊C₄ → C₂ ⊆ Aut C₂²	64		C2^2.21(C2^2:Q8)	128,1816
C₂².₂₂(C₂²⋊Q₈) = C₂⁴.₁₉Q₈	φ: C₂²⋊Q₈/C₂²×C₄ → C₂ ⊆ Aut C₂²	32		C2^2.22(C2^2:Q8)	128,542
C₂².₂₃(C₂²⋊Q₈) = C₂⁴.₉Q₈	φ: C₂²⋊Q₈/C₂²×C₄ → C₂ ⊆ Aut C₂²	32		C2^2.23(C2^2:Q8)	128,543
C₂².₂₄(C₂²⋊Q₈) = C₈○D₄⋊C₄	φ: C₂²⋊Q₈/C₂²×C₄ → C₂ ⊆ Aut C₂²	32	4	C2^2.24(C2^2:Q8)	128,546
C₂².₂₅(C₂²⋊Q₈) = C₄².₆₂Q₈	φ: C₂²⋊Q₈/C₂²×C₄ → C₂ ⊆ Aut C₂²	32		C2^2.25(C2^2:Q8)	128,677
C₂².₂₆(C₂²⋊Q₈) = C₄².₂₈Q₈	φ: C₂²⋊Q₈/C₂²×C₄ → C₂ ⊆ Aut C₂²	32		C2^2.26(C2^2:Q8)	128,678
C₂².₂₇(C₂²⋊Q₈) = M₄(2).₂₇D₄	φ: C₂²⋊Q₈/C₂²×C₄ → C₂ ⊆ Aut C₂²	32	4	C2^2.27(C2^2:Q8)	128,685
C₂².₂₈(C₂²⋊Q₈) = C₄²⋊₁₆Q₈	φ: C₂²⋊Q₈/C₂²×C₄ → C₂ ⊆ Aut C₂²	32		C2^2.28(C2^2:Q8)	128,726
C₂².₂₉(C₂²⋊Q₈) = C₄²⋊Q₈	φ: C₂²⋊Q₈/C₂²×C₄ → C₂ ⊆ Aut C₂²	32		C2^2.29(C2^2:Q8)	128,727
C₂².₃₀(C₂²⋊Q₈) = C₂⁴.₁₇₆C₂³	φ: C₂²⋊Q₈/C₂²×C₄ → C₂ ⊆ Aut C₂²	32		C2^2.30(C2^2:Q8)	128,728
C₂².₃₁(C₂²⋊Q₈) = (C₂×D₄)⋊₂Q₈	φ: C₂²⋊Q₈/C₂²×C₄ → C₂ ⊆ Aut C₂²	32		C2^2.31(C2^2:Q8)	128,759
C₂².₃₂(C₂²⋊Q₈) = (C₂×Q₈)⋊₂Q₈	φ: C₂²⋊Q₈/C₂²×C₄ → C₂ ⊆ Aut C₂²	32		C2^2.32(C2^2:Q8)	128,760
C₂².₃₃(C₂²⋊Q₈) = C₂⁴⋊₂Q₈	φ: C₂²⋊Q₈/C₂²×C₄ → C₂ ⊆ Aut C₂²	16		C2^2.33(C2^2:Q8)	128,761
C₂².₃₄(C₂²⋊Q₈) = C₂⁴.₁₈₀C₂³	φ: C₂²⋊Q₈/C₂²×C₄ → C₂ ⊆ Aut C₂²	32		C2^2.34(C2^2:Q8)	128,762
C₂².₃₅(C₂²⋊Q₈) = M₄(2)⋊Q₈	φ: C₂²⋊Q₈/C₂²×C₄ → C₂ ⊆ Aut C₂²	32		C2^2.35(C2^2:Q8)	128,792
C₂².₃₆(C₂²⋊Q₈) = C₄²⋊₃Q₈	φ: C₂²⋊Q₈/C₂²×C₄ → C₂ ⊆ Aut C₂²	32		C2^2.36(C2^2:Q8)	128,793
C₂².₃₇(C₂²⋊Q₈) = C₂⁴.₁₈₂C₂³	φ: C₂²⋊Q₈/C₂²×C₄ → C₂ ⊆ Aut C₂²	32		C2^2.37(C2^2:Q8)	128,794
C₂².₃₈(C₂²⋊Q₈) = C₂⁴.₁₁Q₈	φ: C₂²⋊Q₈/C₂²×C₄ → C₂ ⊆ Aut C₂²	16	4	C2^2.38(C2^2:Q8)	128,823
C₂².₃₉(C₂²⋊Q₈) = C₄².₁₀D₄	φ: C₂²⋊Q₈/C₂²×C₄ → C₂ ⊆ Aut C₂²	32	4	C2^2.39(C2^2:Q8)	128,830
C₂².₄₀(C₂²⋊Q₈) = C₄².₃₂Q₈	φ: C₂²⋊Q₈/C₂²×C₄ → C₂ ⊆ Aut C₂²	16	4	C2^2.40(C2^2:Q8)	128,834
C₂².₄₁(C₂²⋊Q₈) = C₂²⋊C₄.Q₈	φ: C₂²⋊Q₈/C₂²×C₄ → C₂ ⊆ Aut C₂²	32	4	C2^2.41(C2^2:Q8)	128,835
C₂².₄₂(C₂²⋊Q₈) = C₂⁴⋊₅Q₈	φ: C₂²⋊Q₈/C₂²×C₄ → C₂ ⊆ Aut C₂²	32		C2^2.42(C2^2:Q8)	128,1358
C₂².₄₃(C₂²⋊Q₈) = C₂³.₅₂₇C₂⁴	φ: C₂²⋊Q₈/C₂²×C₄ → C₂ ⊆ Aut C₂²	64		C2^2.43(C2^2:Q8)	128,1359
C₂².₄₄(C₂²⋊Q₈) = C₂⁴.₅₉₉C₂³	φ: C₂²⋊Q₈/C₂²×C₄ → C₂ ⊆ Aut C₂²	64		C2^2.44(C2^2:Q8)	128,1587
C₂².₄₅(C₂²⋊Q₈) = C₄².₂₁₉D₄	φ: C₂²⋊Q₈/C₂²×C₄ → C₂ ⊆ Aut C₂²	32		C2^2.45(C2^2:Q8)	128,1809
C₂².₄₆(C₂²⋊Q₈) = C₄².₂₂₀D₄	φ: C₂²⋊Q₈/C₂²×C₄ → C₂ ⊆ Aut C₂²	64		C2^2.46(C2^2:Q8)	128,1810
C₂².₄₇(C₂²⋊Q₈) = C₂⁴.₁₆₇C₂³	φ: C₂²⋊Q₈/C₂×Q₈ → C₂ ⊆ Aut C₂²	32		C2^2.47(C2^2:Q8)	128,531
C₂².₄₈(C₂²⋊Q₈) = C₄².₁₀₂D₄	φ: C₂²⋊Q₈/C₂×Q₈ → C₂ ⊆ Aut C₂²	32		C2^2.48(C2^2:Q8)	128,538
C₂².₄₉(C₂²⋊Q₈) = C₄≀C₂⋊C₄	φ: C₂²⋊Q₈/C₂×Q₈ → C₂ ⊆ Aut C₂²	32		C2^2.49(C2^2:Q8)	128,591
C₂².₅₀(C₂²⋊Q₈) = C₄²⋊₉(C₂×C₄)	φ: C₂²⋊Q₈/C₂×Q₈ → C₂ ⊆ Aut C₂²	32		C2^2.50(C2^2:Q8)	128,592
C₂².₅₁(C₂²⋊Q₈) = C₂⁴.₂₂D₄	φ: C₂²⋊Q₈/C₂×Q₈ → C₂ ⊆ Aut C₂²	32		C2^2.51(C2^2:Q8)	128,599
C₂².₅₂(C₂²⋊Q₈) = C₂⁴.₃₀₀C₂³	φ: C₂²⋊Q₈/C₂×Q₈ → C₂ ⊆ Aut C₂²	64		C2^2.52(C2^2:Q8)	128,1219
C₂².₅₃(C₂²⋊Q₈) = C₂³.₄₇₉C₂⁴	φ: C₂²⋊Q₈/C₂×Q₈ → C₂ ⊆ Aut C₂²	64		C2^2.53(C2^2:Q8)	128,1311
C₂².₅₄(C₂²⋊Q₈) = C₄².₄₄₈D₄	φ: C₂²⋊Q₈/C₂×Q₈ → C₂ ⊆ Aut C₂²	64		C2^2.54(C2^2:Q8)	128,1811
C₂².₅₅(C₂²⋊Q₈) = C₄².₄₄₉D₄	φ: C₂²⋊Q₈/C₂×Q₈ → C₂ ⊆ Aut C₂²	64		C2^2.55(C2^2:Q8)	128,1812
C₂².₅₆(C₂²⋊Q₈) = C₂⁴.₁₇Q₈	central extension (φ=1)	64		C2^2.56(C2^2:Q8)	128,165
C₂².₅₇(C₂²⋊Q₈) = C₂⁴.₆₂₄C₂³	central extension (φ=1)	128		C2^2.57(C2^2:Q8)	128,166
C₂².₅₈(C₂²⋊Q₈) = C₂⁴.₆₂₅C₂³	central extension (φ=1)	128		C2^2.58(C2^2:Q8)	128,167
C₂².₅₉(C₂²⋊Q₈) = C₂⁴.₆₂₆C₂³	central extension (φ=1)	128		C2^2.59(C2^2:Q8)	128,168
C₂².₆₀(C₂²⋊Q₈) = C₂⁴.₅Q₈	central extension (φ=1)	64		C2^2.60(C2^2:Q8)	128,171
C₂².₆₁(C₂²⋊Q₈) = C₂⁴.₆₃₁C₂³	central extension (φ=1)	128		C2^2.61(C2^2:Q8)	128,173
C₂².₆₂(C₂²⋊Q₈) = C₂⁴.₆₃₂C₂³	central extension (φ=1)	128		C2^2.62(C2^2:Q8)	128,174
C₂².₆₃(C₂²⋊Q₈) = C₂⁴.₆₃₃C₂³	central extension (φ=1)	128		C2^2.63(C2^2:Q8)	128,175
C₂².₆₄(C₂²⋊Q₈) = C₂⁴.₆₃₄C₂³	central extension (φ=1)	128		C2^2.64(C2^2:Q8)	128,176
C₂².₆₅(C₂²⋊Q₈) = C₂⁴.₆₃₅C₂³	central extension (φ=1)	128		C2^2.65(C2^2:Q8)	128,177
C₂².₆₆(C₂²⋊Q₈) = C₂⁴.₆₃₆C₂³	central extension (φ=1)	128		C2^2.66(C2^2:Q8)	128,178
C₂².₆₇(C₂²⋊Q₈) = C₄².₉₈D₄	central extension (φ=1)	64		C2^2.67(C2^2:Q8)	128,534
C₂².₆₈(C₂²⋊Q₈) = C₄².₉₉D₄	central extension (φ=1)	128		C2^2.68(C2^2:Q8)	128,535
C₂².₆₉(C₂²⋊Q₈) = C₄².₁₀₀D₄	central extension (φ=1)	64		C2^2.69(C2^2:Q8)	128,536
C₂².₇₀(C₂²⋊Q₈) = C₄².₁₀₁D₄	central extension (φ=1)	128		C2^2.70(C2^2:Q8)	128,537
C₂².₇₁(C₂²⋊Q₈) = C₂.(C₄×D₈)	central extension (φ=1)	64		C2^2.71(C2^2:Q8)	128,594
C₂².₇₂(C₂²⋊Q₈) = Q₈⋊(C₄⋊C₄)	central extension (φ=1)	128		C2^2.72(C2^2:Q8)	128,595
C₂².₇₃(C₂²⋊Q₈) = D₄⋊(C₄⋊C₄)	central extension (φ=1)	64		C2^2.73(C2^2:Q8)	128,596
C₂².₇₄(C₂²⋊Q₈) = Q₈⋊C₄⋊C₄	central extension (φ=1)	128		C2^2.74(C2^2:Q8)	128,597
C₂².₇₅(C₂²⋊Q₈) = C₂.D₈⋊₄C₄	central extension (φ=1)	128		C2^2.75(C2^2:Q8)	128,650
C₂².₇₆(C₂²⋊Q₈) = C₄.Q₈⋊₉C₄	central extension (φ=1)	128		C2^2.76(C2^2:Q8)	128,651
C₂².₇₇(C₂²⋊Q₈) = C₄.Q₈⋊₁₀C₄	central extension (φ=1)	128		C2^2.77(C2^2:Q8)	128,652
C₂².₇₈(C₂²⋊Q₈) = C₂.D₈⋊₅C₄	central extension (φ=1)	128		C2^2.78(C2^2:Q8)	128,653
C₂².₇₉(C₂²⋊Q₈) = C₄².₂₉Q₈	central extension (φ=1)	128		C2^2.79(C2^2:Q8)	128,679
C₂².₈₀(C₂²⋊Q₈) = C₄².₃₀Q₈	central extension (φ=1)	128		C2^2.80(C2^2:Q8)	128,680
C₂².₈₁(C₂²⋊Q₈) = C₄².₃₁Q₈	central extension (φ=1)	128		C2^2.81(C2^2:Q8)	128,681
C₂².₈₂(C₂²⋊Q₈) = C₄².₁₂₁D₄	central extension (φ=1)	128		C2^2.82(C2^2:Q8)	128,719
C₂².₈₃(C₂²⋊Q₈) = C₄².₁₂₂D₄	central extension (φ=1)	128		C2^2.83(C2^2:Q8)	128,720
C₂².₈₄(C₂²⋊Q₈) = C₄².₁₂₃D₄	central extension (φ=1)	128		C2^2.84(C2^2:Q8)	128,721
C₂².₈₅(C₂²⋊Q₈) = C₂×C₂³.₇Q₈	central extension (φ=1)	64		C2^2.85(C2^2:Q8)	128,1010
C₂².₈₆(C₂²⋊Q₈) = C₂×C₂³.₈Q₈	central extension (φ=1)	64		C2^2.86(C2^2:Q8)	128,1018
C₂².₈₇(C₂²⋊Q₈) = C₂×C₂³.₆₃C₂³	central extension (φ=1)	128		C2^2.87(C2^2:Q8)	128,1020
C₂².₈₈(C₂²⋊Q₈) = C₂×C₂³.₆₅C₂³	central extension (φ=1)	128		C2^2.88(C2^2:Q8)	128,1023
C₂².₈₉(C₂²⋊Q₈) = C₂×C₂³.₆₇C₂³	central extension (φ=1)	128		C2^2.89(C2^2:Q8)	128,1026
C₂².₉₀(C₂²⋊Q₈) = C₂×C₂³⋊Q₈	central extension (φ=1)	64		C2^2.90(C2^2:Q8)	128,1117
C₂².₉₁(C₂²⋊Q₈) = C₂×C₂³.₇₈C₂³	central extension (φ=1)	128		C2^2.91(C2^2:Q8)	128,1119
C₂².₉₂(C₂²⋊Q₈) = C₂×C₂³.Q₈	central extension (φ=1)	64		C2^2.92(C2^2:Q8)	128,1121
C₂².₉₃(C₂²⋊Q₈) = C₂×C₂³.₈₁C₂³	central extension (φ=1)	128		C2^2.93(C2^2:Q8)	128,1123
C₂².₉₄(C₂²⋊Q₈) = C₂×C₂³.₄Q₈	central extension (φ=1)	64		C2^2.94(C2^2:Q8)	128,1125
C₂².₉₅(C₂²⋊Q₈) = C₂×C₂³.₈₃C₂³	central extension (φ=1)	128		C2^2.95(C2^2:Q8)	128,1126
C₂².₉₆(C₂²⋊Q₈) = C₂×D₄⋊Q₈	central extension (φ=1)	64		C2^2.96(C2^2:Q8)	128,1802
C₂².₉₇(C₂²⋊Q₈) = C₂×D₄⋊₂Q₈	central extension (φ=1)	64		C2^2.97(C2^2:Q8)	128,1803
C₂².₉₈(C₂²⋊Q₈) = C₂×D₄.Q₈	central extension (φ=1)	64		C2^2.98(C2^2:Q8)	128,1804
C₂².₉₉(C₂²⋊Q₈) = C₂×Q₈⋊Q₈	central extension (φ=1)	128		C2^2.99(C2^2:Q8)	128,1805
C₂².₁₀₀(C₂²⋊Q₈) = C₂×C₄.Q₁₆	central extension (φ=1)	128		C2^2.100(C2^2:Q8)	128,1806
C₂².₁₀₁(C₂²⋊Q₈) = C₂×Q₈.Q₈	central extension (φ=1)	128		C2^2.101(C2^2:Q8)	128,1807
C₂².₁₀₂(C₂²⋊Q₈) = (C₂×D₄)⋊Q₈	central stem extension (φ=1)	64		C2^2.102(C2^2:Q8)	128,755
C₂².₁₀₃(C₂²⋊Q₈) = (C₂×Q₈)⋊Q₈	central stem extension (φ=1)	128		C2^2.103(C2^2:Q8)	128,756
C₂².₁₀₄(C₂²⋊Q₈) = C₄⋊C₄.₈₄D₄	central stem extension (φ=1)	64		C2^2.104(C2^2:Q8)	128,757
C₂².₁₀₅(C₂²⋊Q₈) = C₄⋊C₄.₈₅D₄	central stem extension (φ=1)	128		C2^2.105(C2^2:Q8)	128,758
C₂².₁₀₆(C₂²⋊Q₈) = C₄⋊C₄⋊Q₈	central stem extension (φ=1)	128		C2^2.106(C2^2:Q8)	128,789
C₂².₁₀₇(C₂²⋊Q₈) = (C₂×C₈)⋊Q₈	central stem extension (φ=1)	128		C2^2.107(C2^2:Q8)	128,790
C₂².₁₀₈(C₂²⋊Q₈) = C₂.(C₈⋊Q₈)	central stem extension (φ=1)	128		C2^2.108(C2^2:Q8)	128,791
C₂².₁₀₉(C₂²⋊Q₈) = C₄⋊C₄.₁₀₆D₄	central stem extension (φ=1)	64		C2^2.109(C2^2:Q8)	128,797
C₂².₁₁₀(C₂²⋊Q₈) = (C₂×Q₈).₈Q₈	central stem extension (φ=1)	128		C2^2.110(C2^2:Q8)	128,798
C₂².₁₁₁(C₂²⋊Q₈) = (C₂×C₄).₂₃D₈	central stem extension (φ=1)	64		C2^2.111(C2^2:Q8)	128,799
C₂².₁₁₂(C₂²⋊Q₈) = (C₂×C₈).₅₂D₄	central stem extension (φ=1)	128		C2^2.112(C2^2:Q8)	128,800
C₂².₁₁₃(C₂²⋊Q₈) = (C₂×C₄).₂₆D₈	central stem extension (φ=1)	128		C2^2.113(C2^2:Q8)	128,818
C₂².₁₁₄(C₂²⋊Q₈) = (C₂×C₄).₂₁Q₁₆	central stem extension (φ=1)	128		C2^2.114(C2^2:Q8)	128,819
C₂².₁₁₅(C₂²⋊Q₈) = C₄.(C₄⋊Q₈)	central stem extension (φ=1)	128		C2^2.115(C2^2:Q8)	128,820
C₂².₁₁₆(C₂²⋊Q₈) = (C₂×C₈).₁₆₈D₄	central stem extension (φ=1)	64		C2^2.116(C2^2:Q8)	128,824
C₂².₁₁₇(C₂²⋊Q₈) = (C₂×C₄).₂₇D₈	central stem extension (φ=1)	64		C2^2.117(C2^2:Q8)	128,825
C₂².₁₁₈(C₂²⋊Q₈) = (C₂×C₈).₁₆₉D₄	central stem extension (φ=1)	64		C2^2.118(C2^2:Q8)	128,826
C₂².₁₁₉(C₂²⋊Q₈) = (C₂×C₈).₆₀D₄	central stem extension (φ=1)	128		C2^2.119(C2^2:Q8)	128,827
C₂².₁₂₀(C₂²⋊Q₈) = (C₂×C₈).₁₇₀D₄	central stem extension (φ=1)	128		C2^2.120(C2^2:Q8)	128,828
C₂².₁₂₁(C₂²⋊Q₈) = (C₂×C₈).₁₇₁D₄	central stem extension (φ=1)	128		C2^2.121(C2^2:Q8)	128,829
C₂².₁₂₂(C₂²⋊Q₈) = (C₂×C₄).₂₈D₈	central stem extension (φ=1)	128		C2^2.122(C2^2:Q8)	128,831
C₂².₁₂₃(C₂²⋊Q₈) = (C₂×C₄).₂₃Q₁₆	central stem extension (φ=1)	128		C2^2.123(C2^2:Q8)	128,832
C₂².₁₂₄(C₂²⋊Q₈) = C₄⋊C₄.Q₈	central stem extension (φ=1)	128		C2^2.124(C2^2:Q8)	128,833

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Extensions 1→N→G→Q→1 with N=C22 and Q=C22⋊Q8

Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂²⋊Q₈