Extensions 1→N→G→Q→1 with N=C₂² and Q=Q₈×D₇

Direct product G=N×Q with N=C₂² and Q=Q₈×D₇

		d	ρ	Label	ID
C₂²×Q₈×D₇		224		C2^2xQ8xD7	448,1372

Semidirect products G=N:Q with N=C₂² and Q=Q₈×D₇

extension	φ:Q→Aut N	d	Label	ID
C₂²⋊₁(Q₈×D₇) = Dic₁₄⋊₂₁D₄	φ: Q₈×D₇/Dic₁₄ → C₂ ⊆ Aut C₂²	224	C2^2:1(Q8xD7)	448,1085
C₂²⋊₂(Q₈×D₇) = D₇×C₂²⋊Q₈	φ: Q₈×D₇/C₄×D₇ → C₂ ⊆ Aut C₂²	112	C2^2:2(Q8xD7)	448,1079
C₂²⋊₃(Q₈×D₇) = Q₈×C₇⋊D₄	φ: Q₈×D₇/C₇×Q₈ → C₂ ⊆ Aut C₂²	224	C2^2:3(Q8xD7)	448,1268

Non-split extensions G=N.Q with N=C₂² and Q=Q₈×D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(Q₈×D₇) = C₁₄.₁₁₈2₊¹⁺⁴	φ: Q₈×D₇/Dic₁₄ → C₂ ⊆ Aut C₂²	224		C2^2.1(Q8xD7)	448,1088
C₂².₂(Q₈×D₇) = C₁₄.₅₂2₊¹⁺⁴	φ: Q₈×D₇/Dic₁₄ → C₂ ⊆ Aut C₂²	224		C2^2.2(Q8xD7)	448,1089
C₂².₃(Q₈×D₇) = D₇×C₈.C₄	φ: Q₈×D₇/C₄×D₇ → C₂ ⊆ Aut C₂²	112	4	C2^2.3(Q8xD7)	448,426
C₂².₄(Q₈×D₇) = M₄(2).₂₅D₁₄	φ: Q₈×D₇/C₄×D₇ → C₂ ⊆ Aut C₂²	112	4	C2^2.4(Q8xD7)	448,427
C₂².₅(Q₈×D₇) = (Q₈×Dic₇)⋊C₂	φ: Q₈×D₇/C₄×D₇ → C₂ ⊆ Aut C₂²	224		C2^2.5(Q8xD7)	448,1075
C₂².₆(Q₈×D₇) = C₁₄.₇₅2_-¹⁺⁴	φ: Q₈×D₇/C₄×D₇ → C₂ ⊆ Aut C₂²	224		C2^2.6(Q8xD7)	448,1076
C₂².₇(Q₈×D₇) = C₁₄.₅₁2₊¹⁺⁴	φ: Q₈×D₇/C₄×D₇ → C₂ ⊆ Aut C₂²	112		C2^2.7(Q8xD7)	448,1087
C₂².₈(Q₈×D₇) = C₁₄.₁₀2₊¹⁺⁴	φ: Q₈×D₇/C₇×Q₈ → C₂ ⊆ Aut C₂²	224		C2^2.8(Q8xD7)	448,964
C₂².₉(Q₈×D₇) = (C₂×C₂₈)⋊Q₈	central extension (φ=1)	448		C2^2.9(Q8xD7)	448,180
C₂².₁₀(Q₈×D₇) = C₁₄.(C₄×Q₈)	central extension (φ=1)	448		C2^2.10(Q8xD7)	448,181
C₂².₁₁(Q₈×D₇) = Dic₇⋊C₄²	central extension (φ=1)	448		C2^2.11(Q8xD7)	448,183
C₂².₁₂(Q₈×D₇) = C₇⋊(C₄²⋊₈C₄)	central extension (φ=1)	448		C2^2.12(Q8xD7)	448,184
C₂².₁₃(Q₈×D₇) = Dic₇⋊C₄⋊C₄	central extension (φ=1)	448		C2^2.13(Q8xD7)	448,186
C₂².₁₄(Q₈×D₇) = C₄⋊Dic₇⋊₇C₄	central extension (φ=1)	448		C2^2.14(Q8xD7)	448,187
C₂².₁₅(Q₈×D₇) = D₇×C₂.C₄²	central extension (φ=1)	224		C2^2.15(Q8xD7)	448,197
C₂².₁₆(Q₈×D₇) = D₁₄⋊(C₄⋊C₄)	central extension (φ=1)	224		C2^2.16(Q8xD7)	448,201
C₂².₁₇(Q₈×D₇) = D₁₄⋊C₄⋊C₄	central extension (φ=1)	224		C2^2.17(Q8xD7)	448,202
C₂².₁₈(Q₈×D₇) = Dic₇⋊(C₄⋊C₄)	central extension (φ=1)	448		C2^2.18(Q8xD7)	448,506
C₂².₁₉(Q₈×D₇) = C₂₈⋊(C₄⋊C₄)	central extension (φ=1)	448		C2^2.19(Q8xD7)	448,507
C₂².₂₀(Q₈×D₇) = (C₂×Dic₇)⋊₆Q₈	central extension (φ=1)	448		C2^2.20(Q8xD7)	448,508
C₂².₂₁(Q₈×D₇) = C₄⋊C₄×Dic₇	central extension (φ=1)	448		C2^2.21(Q8xD7)	448,509
C₂².₂₂(Q₈×D₇) = (C₄×Dic₇)⋊₈C₄	central extension (φ=1)	448		C2^2.22(Q8xD7)	448,510
C₂².₂₃(Q₈×D₇) = C₂².₂₃(Q₈×D₇)	central extension (φ=1)	448		C2^2.23(Q8xD7)	448,512
C₂².₂₄(Q₈×D₇) = C₄⋊C₄⋊₅Dic₇	central extension (φ=1)	448		C2^2.24(Q8xD7)	448,515
C₂².₂₅(Q₈×D₇) = C₄⋊(C₄⋊Dic₇)	central extension (φ=1)	448		C2^2.25(Q8xD7)	448,519
C₂².₂₆(Q₈×D₇) = C₄⋊(D₁₄⋊C₄)	central extension (φ=1)	224		C2^2.26(Q8xD7)	448,521
C₂².₂₇(Q₈×D₇) = D₁₄⋊C₄⋊₆C₄	central extension (φ=1)	224		C2^2.27(Q8xD7)	448,523
C₂².₂₈(Q₈×D₇) = (Q₈×C₁₄)⋊₇C₄	central extension (φ=1)	448		C2^2.28(Q8xD7)	448,764
C₂².₂₉(Q₈×D₇) = C₂×Dic₇⋊₃Q₈	central extension (φ=1)	448		C2^2.29(Q8xD7)	448,949
C₂².₃₀(Q₈×D₇) = C₂×C₂₈⋊Q₈	central extension (φ=1)	448		C2^2.30(Q8xD7)	448,950
C₂².₃₁(Q₈×D₇) = C₂×Dic₇.Q₈	central extension (φ=1)	448		C2^2.31(Q8xD7)	448,951
C₂².₃₂(Q₈×D₇) = C₂×D₇×C₄⋊C₄	central extension (φ=1)	224		C2^2.32(Q8xD7)	448,954
C₂².₃₃(Q₈×D₇) = C₂×D₁₄⋊Q₈	central extension (φ=1)	224		C2^2.33(Q8xD7)	448,961
C₂².₃₄(Q₈×D₇) = C₂×D₁₄⋊₂Q₈	central extension (φ=1)	224		C2^2.34(Q8xD7)	448,962
C₂².₃₅(Q₈×D₇) = C₂×Dic₇⋊Q₈	central extension (φ=1)	448		C2^2.35(Q8xD7)	448,1263
C₂².₃₆(Q₈×D₇) = C₂×Q₈×Dic₇	central extension (φ=1)	448		C2^2.36(Q8xD7)	448,1264
C₂².₃₇(Q₈×D₇) = C₂×D₁₄⋊₃Q₈	central extension (φ=1)	224		C2^2.37(Q8xD7)	448,1266
C₂².₃₈(Q₈×D₇) = (C₂×Dic₇)⋊Q₈	central stem extension (φ=1)	448		C2^2.38(Q8xD7)	448,190
C₂².₃₉(Q₈×D₇) = C₂.(C₂₈⋊Q₈)	central stem extension (φ=1)	448		C2^2.39(Q8xD7)	448,191
C₂².₄₀(Q₈×D₇) = (C₂×Dic₇).Q₈	central stem extension (φ=1)	448		C2^2.40(Q8xD7)	448,192
C₂².₄₁(Q₈×D₇) = (C₂×C₂₈).₂₈D₄	central stem extension (φ=1)	448		C2^2.41(Q8xD7)	448,193
C₂².₄₂(Q₈×D₇) = (C₂×C₄).₂₀D₂₈	central stem extension (φ=1)	224		C2^2.42(Q8xD7)	448,207
C₂².₄₃(Q₈×D₇) = (C₂²×D₇).Q₈	central stem extension (φ=1)	224		C2^2.43(Q8xD7)	448,210
C₂².₄₄(Q₈×D₇) = (C₂×C₂₈).₃₃D₄	central stem extension (φ=1)	224		C2^2.44(Q8xD7)	448,211
C₂².₄₅(Q₈×D₇) = (C₂×C₄)⋊Dic₁₄	central stem extension (φ=1)	448		C2^2.45(Q8xD7)	448,513
C₂².₄₆(Q₈×D₇) = (C₂×C₂₈).₂₈₇D₄	central stem extension (φ=1)	448		C2^2.46(Q8xD7)	448,514
C₂².₄₇(Q₈×D₇) = (C₂×C₂₈).₂₈₈D₄	central stem extension (φ=1)	448		C2^2.47(Q8xD7)	448,516
C₂².₄₈(Q₈×D₇) = (C₂×C₄).₄₄D₂₈	central stem extension (φ=1)	448		C2^2.48(Q8xD7)	448,517
C₂².₄₉(Q₈×D₇) = (C₂×C₂₈).₅₄D₄	central stem extension (φ=1)	448		C2^2.49(Q8xD7)	448,518
C₂².₅₀(Q₈×D₇) = (C₂×C₂₈).₂₈₉D₄	central stem extension (φ=1)	224		C2^2.50(Q8xD7)	448,526
C₂².₅₁(Q₈×D₇) = (C₂×C₄).₄₅D₂₈	central stem extension (φ=1)	224		C2^2.51(Q8xD7)	448,528
C₂².₅₂(Q₈×D₇) = C₁₄.C₂²≀C₂	central stem extension (φ=1)	448		C2^2.52(Q8xD7)	448,763
C₂².₅₃(Q₈×D₇) = (C₂²×Q₈)⋊D₇	central stem extension (φ=1)	224		C2^2.53(Q8xD7)	448,765

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C22 and Q=Q8×D7

Extensions 1→N→G→Q→1 with N=C₂² and Q=Q₈×D₇