Extensions 1→N→G→Q→1 with N=C₁₄ and Q=C₈⋊C₂²

Direct product G=N×Q with N=C₁₄ and Q=C₈⋊C₂²

		d	ρ	Label	ID
C₁₄×C₈⋊C₂²		112		C14xC8:C2^2	448,1356

Semidirect products G=N:Q with N=C₁₄ and Q=C₈⋊C₂²

extension	φ:Q→Aut N	d	Label	ID
C₁₄⋊₁(C₈⋊C₂²) = C₂×C₈⋊D₁₄	φ: C₈⋊C₂²/M₄(2) → C₂ ⊆ Aut C₁₄	112	C14:1(C8:C2^2)	448,1199
C₁₄⋊₂(C₈⋊C₂²) = C₂×D₈⋊D₇	φ: C₈⋊C₂²/D₈ → C₂ ⊆ Aut C₁₄	112	C14:2(C8:C2^2)	448,1208
C₁₄⋊₃(C₈⋊C₂²) = C₂×D₅₆⋊C₂	φ: C₈⋊C₂²/SD₁₆ → C₂ ⊆ Aut C₁₄	112	C14:3(C8:C2^2)	448,1212
C₁₄⋊₄(C₈⋊C₂²) = C₂×D₄.D₁₄	φ: C₈⋊C₂²/C₂×D₄ → C₂ ⊆ Aut C₁₄	112	C14:4(C8:C2^2)	448,1246
C₁₄⋊₅(C₈⋊C₂²) = C₂×D₄⋊D₁₄	φ: C₈⋊C₂²/C₄○D₄ → C₂ ⊆ Aut C₁₄	112	C14:5(C8:C2^2)	448,1273

Non-split extensions G=N.Q with N=C₁₄ and Q=C₈⋊C₂²

extension	φ:Q→Aut N	d	Label	ID
C₁₄.₁(C₈⋊C₂²) = C₈⋊Dic₁₄	φ: C₈⋊C₂²/M₄(2) → C₂ ⊆ Aut C₁₄	448	C14.1(C8:C2^2)	448,236
C₁₄.₂(C₈⋊C₂²) = C₄².₁₆D₁₄	φ: C₈⋊C₂²/M₄(2) → C₂ ⊆ Aut C₁₄	224	C14.2(C8:C2^2)	448,244
C₁₄.₃(C₈⋊C₂²) = D₅₆⋊C₄	φ: C₈⋊C₂²/M₄(2) → C₂ ⊆ Aut C₁₄	224	C14.3(C8:C2^2)	448,245
C₁₄.₄(C₈⋊C₂²) = C₈⋊D₂₈	φ: C₈⋊C₂²/M₄(2) → C₂ ⊆ Aut C₁₄	224	C14.4(C8:C2^2)	448,246
C₁₄.₅(C₈⋊C₂²) = C₄².₁₉D₁₄	φ: C₈⋊C₂²/M₄(2) → C₂ ⊆ Aut C₁₄	224	C14.5(C8:C2^2)	448,247
C₁₄.₆(C₈⋊C₂²) = C₄².₂₀D₁₄	φ: C₈⋊C₂²/M₄(2) → C₂ ⊆ Aut C₁₄	224	C14.6(C8:C2^2)	448,248
C₁₄.₇(C₈⋊C₂²) = C₂³.₃₅D₂₈	φ: C₈⋊C₂²/M₄(2) → C₂ ⊆ Aut C₁₄	224	C14.7(C8:C2^2)	448,256
C₁₄.₈(C₈⋊C₂²) = D₂₈.₃₁D₄	φ: C₈⋊C₂²/M₄(2) → C₂ ⊆ Aut C₁₄	112	C14.8(C8:C2^2)	448,265
C₁₄.₉(C₈⋊C₂²) = D₂₈⋊₁₃D₄	φ: C₈⋊C₂²/M₄(2) → C₂ ⊆ Aut C₁₄	112	C14.9(C8:C2^2)	448,266
C₁₄.₁₀(C₈⋊C₂²) = D₂₈⋊₁₄D₄	φ: C₈⋊C₂²/M₄(2) → C₂ ⊆ Aut C₁₄	224	C14.10(C8:C2^2)	448,268
C₁₄.₁₁(C₈⋊C₂²) = C₂³.₃₈D₂₈	φ: C₈⋊C₂²/M₄(2) → C₂ ⊆ Aut C₁₄	224	C14.11(C8:C2^2)	448,269
C₁₄.₁₂(C₈⋊C₂²) = C₂³.₁₃D₂₈	φ: C₈⋊C₂²/M₄(2) → C₂ ⊆ Aut C₁₄	224	C14.12(C8:C2^2)	448,271
C₁₄.₁₃(C₈⋊C₂²) = D₂₈⋊₃Q₈	φ: C₈⋊C₂²/M₄(2) → C₂ ⊆ Aut C₁₄	224	C14.13(C8:C2^2)	448,376
C₁₄.₁₄(C₈⋊C₂²) = C₄⋊D₅₆	φ: C₈⋊C₂²/M₄(2) → C₂ ⊆ Aut C₁₄	224	C14.14(C8:C2^2)	448,377
C₁₄.₁₅(C₈⋊C₂²) = D₂₈.₁₉D₄	φ: C₈⋊C₂²/M₄(2) → C₂ ⊆ Aut C₁₄	224	C14.15(C8:C2^2)	448,378
C₁₄.₁₆(C₈⋊C₂²) = D₂₈.₃Q₈	φ: C₈⋊C₂²/M₄(2) → C₂ ⊆ Aut C₁₄	224	C14.16(C8:C2^2)	448,381
C₁₄.₁₇(C₈⋊C₂²) = Dic₁₄⋊₈D₄	φ: C₈⋊C₂²/M₄(2) → C₂ ⊆ Aut C₁₄	224	C14.17(C8:C2^2)	448,382
C₁₄.₁₈(C₈⋊C₂²) = C₂₈.₇Q₁₆	φ: C₈⋊C₂²/M₄(2) → C₂ ⊆ Aut C₁₄	448	C14.18(C8:C2^2)	448,384
C₁₄.₁₉(C₈⋊C₂²) = C₂³.₄₇D₂₈	φ: C₈⋊C₂²/M₄(2) → C₂ ⊆ Aut C₁₄	224	C14.19(C8:C2^2)	448,655
C₁₄.₂₀(C₈⋊C₂²) = C₂³.₄₈D₂₈	φ: C₈⋊C₂²/M₄(2) → C₂ ⊆ Aut C₁₄	112	C14.20(C8:C2^2)	448,665
C₁₄.₂₁(C₈⋊C₂²) = C₂³.₄₉D₂₈	φ: C₈⋊C₂²/M₄(2) → C₂ ⊆ Aut C₁₄	224	C14.21(C8:C2^2)	448,667
C₁₄.₂₂(C₈⋊C₂²) = C₅₆⋊₂D₄	φ: C₈⋊C₂²/M₄(2) → C₂ ⊆ Aut C₁₄	224	C14.22(C8:C2^2)	448,668
C₁₄.₂₃(C₈⋊C₂²) = C₅₆⋊₃D₄	φ: C₈⋊C₂²/M₄(2) → C₂ ⊆ Aut C₁₄	224	C14.23(C8:C2^2)	448,669
C₁₄.₂₄(C₈⋊C₂²) = D₄.D₇⋊C₄	φ: C₈⋊C₂²/D₈ → C₂ ⊆ Aut C₁₄	224	C14.24(C8:C2^2)	448,291
C₁₄.₂₅(C₈⋊C₂²) = D₄⋊Dic₁₄	φ: C₈⋊C₂²/D₈ → C₂ ⊆ Aut C₁₄	224	C14.25(C8:C2^2)	448,295
C₁₄.₂₆(C₈⋊C₂²) = Dic₁₄⋊₂D₄	φ: C₈⋊C₂²/D₈ → C₂ ⊆ Aut C₁₄	224	C14.26(C8:C2^2)	448,296
C₁₄.₂₇(C₈⋊C₂²) = D₄.Dic₁₄	φ: C₈⋊C₂²/D₈ → C₂ ⊆ Aut C₁₄	224	C14.27(C8:C2^2)	448,297
C₁₄.₂₈(C₈⋊C₂²) = C₂₈⋊Q₈⋊C₂	φ: C₈⋊C₂²/D₈ → C₂ ⊆ Aut C₁₄	224	C14.28(C8:C2^2)	448,299
C₁₄.₂₉(C₈⋊C₂²) = (D₄×D₇)⋊C₄	φ: C₈⋊C₂²/D₈ → C₂ ⊆ Aut C₁₄	112	C14.29(C8:C2^2)	448,304
C₁₄.₃₀(C₈⋊C₂²) = D₄⋊(C₄×D₇)	φ: C₈⋊C₂²/D₈ → C₂ ⊆ Aut C₁₄	224	C14.30(C8:C2^2)	448,305
C₁₄.₃₁(C₈⋊C₂²) = D₄.₆D₂₈	φ: C₈⋊C₂²/D₈ → C₂ ⊆ Aut C₁₄	112	C14.31(C8:C2^2)	448,310
C₁₄.₃₂(C₈⋊C₂²) = D₁₄.SD₁₆	φ: C₈⋊C₂²/D₈ → C₂ ⊆ Aut C₁₄	224	C14.32(C8:C2^2)	448,311
C₁₄.₃₃(C₈⋊C₂²) = C₈⋊Dic₇⋊C₂	φ: C₈⋊C₂²/D₈ → C₂ ⊆ Aut C₁₄	224	C14.33(C8:C2^2)	448,313
C₁₄.₃₄(C₈⋊C₂²) = C₇⋊C₈⋊₁D₄	φ: C₈⋊C₂²/D₈ → C₂ ⊆ Aut C₁₄	224	C14.34(C8:C2^2)	448,314
C₁₄.₃₅(C₈⋊C₂²) = D₄⋊₃D₂₈	φ: C₈⋊C₂²/D₈ → C₂ ⊆ Aut C₁₄	224	C14.35(C8:C2^2)	448,315
C₁₄.₃₆(C₈⋊C₂²) = C₇⋊C₈⋊D₄	φ: C₈⋊C₂²/D₈ → C₂ ⊆ Aut C₁₄	224	C14.36(C8:C2^2)	448,316
C₁₄.₃₇(C₈⋊C₂²) = D₂₈.D₄	φ: C₈⋊C₂²/D₈ → C₂ ⊆ Aut C₁₄	224	C14.37(C8:C2^2)	448,321
C₁₄.₃₈(C₈⋊C₂²) = Dic₁₄⋊₂Q₈	φ: C₈⋊C₂²/D₈ → C₂ ⊆ Aut C₁₄	448	C14.38(C8:C2^2)	448,409
C₁₄.₃₉(C₈⋊C₂²) = C₅₆⋊₄Q₈	φ: C₈⋊C₂²/D₈ → C₂ ⊆ Aut C₁₄	448	C14.39(C8:C2^2)	448,410
C₁₄.₄₀(C₈⋊C₂²) = C₅₆⋊(C₂×C₄)	φ: C₈⋊C₂²/D₈ → C₂ ⊆ Aut C₁₄	224	C14.40(C8:C2^2)	448,415
C₁₄.₄₁(C₈⋊C₂²) = D₁₄.₂Q₁₆	φ: C₈⋊C₂²/D₈ → C₂ ⊆ Aut C₁₄	224	C14.41(C8:C2^2)	448,418
C₁₄.₄₂(C₈⋊C₂²) = C₂.D₈⋊D₇	φ: C₈⋊C₂²/D₈ → C₂ ⊆ Aut C₁₄	224	C14.42(C8:C2^2)	448,419
C₁₄.₄₃(C₈⋊C₂²) = C₈⋊₃D₂₈	φ: C₈⋊C₂²/D₈ → C₂ ⊆ Aut C₁₄	224	C14.43(C8:C2^2)	448,420
C₁₄.₄₄(C₈⋊C₂²) = C₅₆⋊C₂⋊C₄	φ: C₈⋊C₂²/D₈ → C₂ ⊆ Aut C₁₄	224	C14.44(C8:C2^2)	448,423
C₁₄.₄₅(C₈⋊C₂²) = D₂₈.₂Q₈	φ: C₈⋊C₂²/D₈ → C₂ ⊆ Aut C₁₄	224	C14.45(C8:C2^2)	448,425
C₁₄.₄₆(C₈⋊C₂²) = Dic₇⋊D₈	φ: C₈⋊C₂²/D₈ → C₂ ⊆ Aut C₁₄	224	C14.46(C8:C2^2)	448,684
C₁₄.₄₇(C₈⋊C₂²) = D₈⋊Dic₇	φ: C₈⋊C₂²/D₈ → C₂ ⊆ Aut C₁₄	224	C14.47(C8:C2^2)	448,686
C₁₄.₄₈(C₈⋊C₂²) = (C₂×D₈).D₇	φ: C₈⋊C₂²/D₈ → C₂ ⊆ Aut C₁₄	224	C14.48(C8:C2^2)	448,687
C₁₄.₄₉(C₈⋊C₂²) = C₅₆⋊₁₁D₄	φ: C₈⋊C₂²/D₈ → C₂ ⊆ Aut C₁₄	224	C14.49(C8:C2^2)	448,688
C₁₄.₅₀(C₈⋊C₂²) = D₂₈⋊D₄	φ: C₈⋊C₂²/D₈ → C₂ ⊆ Aut C₁₄	112	C14.50(C8:C2^2)	448,690
C₁₄.₅₁(C₈⋊C₂²) = Dic₁₄⋊D₄	φ: C₈⋊C₂²/D₈ → C₂ ⊆ Aut C₁₄	224	C14.51(C8:C2^2)	448,692
C₁₄.₅₂(C₈⋊C₂²) = C₅₆⋊₁₂D₄	φ: C₈⋊C₂²/D₈ → C₂ ⊆ Aut C₁₄	224	C14.52(C8:C2^2)	448,693
C₁₄.₅₃(C₈⋊C₂²) = C₄⋊C₄.D₁₄	φ: C₈⋊C₂²/SD₁₆ → C₂ ⊆ Aut C₁₄	224	C14.53(C8:C2^2)	448,298
C₁₄.₅₄(C₈⋊C₂²) = D₄.₂Dic₁₄	φ: C₈⋊C₂²/SD₁₆ → C₂ ⊆ Aut C₁₄	224	C14.54(C8:C2^2)	448,300
C₁₄.₅₅(C₈⋊C₂²) = D₄⋊D₂₈	φ: C₈⋊C₂²/SD₁₆ → C₂ ⊆ Aut C₁₄	112	C14.55(C8:C2^2)	448,307
C₁₄.₅₆(C₈⋊C₂²) = C₅₆⋊₁C₄⋊C₂	φ: C₈⋊C₂²/SD₁₆ → C₂ ⊆ Aut C₁₄	224	C14.56(C8:C2^2)	448,318
C₁₄.₅₇(C₈⋊C₂²) = D₄⋊D₇⋊C₄	φ: C₈⋊C₂²/SD₁₆ → C₂ ⊆ Aut C₁₄	224	C14.57(C8:C2^2)	448,319
C₁₄.₅₈(C₈⋊C₂²) = D₂₈⋊₃D₄	φ: C₈⋊C₂²/SD₁₆ → C₂ ⊆ Aut C₁₄	224	C14.58(C8:C2^2)	448,320
C₁₄.₅₉(C₈⋊C₂²) = Dic₇.Q₁₆	φ: C₈⋊C₂²/SD₁₆ → C₂ ⊆ Aut C₁₄	448	C14.59(C8:C2^2)	448,328
C₁₄.₆₀(C₈⋊C₂²) = Q₈⋊C₄⋊D₇	φ: C₈⋊C₂²/SD₁₆ → C₂ ⊆ Aut C₁₄	224	C14.60(C8:C2^2)	448,329
C₁₄.₆₁(C₈⋊C₂²) = Q₈⋊(C₄×D₇)	φ: C₈⋊C₂²/SD₁₆ → C₂ ⊆ Aut C₁₄	224	C14.61(C8:C2^2)	448,337
C₁₄.₆₂(C₈⋊C₂²) = D₁₄.Q₁₆	φ: C₈⋊C₂²/SD₁₆ → C₂ ⊆ Aut C₁₄	224	C14.62(C8:C2^2)	448,343
C₁₄.₆₃(C₈⋊C₂²) = D₂₈⋊₄D₄	φ: C₈⋊C₂²/SD₁₆ → C₂ ⊆ Aut C₁₄	224	C14.63(C8:C2^2)	448,345
C₁₄.₆₄(C₈⋊C₂²) = C₇⋊(C₈⋊D₄)	φ: C₈⋊C₂²/SD₁₆ → C₂ ⊆ Aut C₁₄	224	C14.64(C8:C2^2)	448,346
C₁₄.₆₅(C₈⋊C₂²) = Q₈⋊D₇⋊C₄	φ: C₈⋊C₂²/SD₁₆ → C₂ ⊆ Aut C₁₄	224	C14.65(C8:C2^2)	448,351
C₁₄.₆₆(C₈⋊C₂²) = D₂₈.₁₂D₄	φ: C₈⋊C₂²/SD₁₆ → C₂ ⊆ Aut C₁₄	224	C14.66(C8:C2^2)	448,353
C₁₄.₆₇(C₈⋊C₂²) = C₅₆⋊₃Q₈	φ: C₈⋊C₂²/SD₁₆ → C₂ ⊆ Aut C₁₄	448	C14.67(C8:C2^2)	448,390
C₁₄.₆₈(C₈⋊C₂²) = C₈⋊(C₄×D₇)	φ: C₈⋊C₂²/SD₁₆ → C₂ ⊆ Aut C₁₄	224	C14.68(C8:C2^2)	448,395
C₁₄.₆₉(C₈⋊C₂²) = D₁₄.₄SD₁₆	φ: C₈⋊C₂²/SD₁₆ → C₂ ⊆ Aut C₁₄	224	C14.69(C8:C2^2)	448,397
C₁₄.₇₀(C₈⋊C₂²) = C₅₆⋊₇D₄	φ: C₈⋊C₂²/SD₁₆ → C₂ ⊆ Aut C₁₄	224	C14.70(C8:C2^2)	448,399
C₁₄.₇₁(C₈⋊C₂²) = C₄.Q₈⋊D₇	φ: C₈⋊C₂²/SD₁₆ → C₂ ⊆ Aut C₁₄	224	C14.71(C8:C2^2)	448,400
C₁₄.₇₂(C₈⋊C₂²) = D₅₆⋊₉C₄	φ: C₈⋊C₂²/SD₁₆ → C₂ ⊆ Aut C₁₄	224	C14.72(C8:C2^2)	448,403
C₁₄.₇₃(C₈⋊C₂²) = D₂₈⋊Q₈	φ: C₈⋊C₂²/SD₁₆ → C₂ ⊆ Aut C₁₄	224	C14.73(C8:C2^2)	448,404
C₁₄.₇₄(C₈⋊C₂²) = D₂₈.Q₈	φ: C₈⋊C₂²/SD₁₆ → C₂ ⊆ Aut C₁₄	224	C14.74(C8:C2^2)	448,405
C₁₄.₇₅(C₈⋊C₂²) = Dic₇⋊₅SD₁₆	φ: C₈⋊C₂²/SD₁₆ → C₂ ⊆ Aut C₁₄	224	C14.75(C8:C2^2)	448,697
C₁₄.₇₆(C₈⋊C₂²) = SD₁₆⋊Dic₇	φ: C₈⋊C₂²/SD₁₆ → C₂ ⊆ Aut C₁₄	224	C14.76(C8:C2^2)	448,698
C₁₄.₇₇(C₈⋊C₂²) = (C₇×D₄).D₄	φ: C₈⋊C₂²/SD₁₆ → C₂ ⊆ Aut C₁₄	224	C14.77(C8:C2^2)	448,699
C₁₄.₇₈(C₈⋊C₂²) = D₁₄⋊₆SD₁₆	φ: C₈⋊C₂²/SD₁₆ → C₂ ⊆ Aut C₁₄	112	C14.78(C8:C2^2)	448,703
C₁₄.₇₉(C₈⋊C₂²) = D₂₈⋊₇D₄	φ: C₈⋊C₂²/SD₁₆ → C₂ ⊆ Aut C₁₄	224	C14.79(C8:C2^2)	448,706
C₁₄.₈₀(C₈⋊C₂²) = C₅₆⋊₈D₄	φ: C₈⋊C₂²/SD₁₆ → C₂ ⊆ Aut C₁₄	224	C14.80(C8:C2^2)	448,708
C₁₄.₈₁(C₈⋊C₂²) = C₅₆⋊₉D₄	φ: C₈⋊C₂²/SD₁₆ → C₂ ⊆ Aut C₁₄	224	C14.81(C8:C2^2)	448,710
C₁₄.₈₂(C₈⋊C₂²) = C₄.Dic₇⋊C₄	φ: C₈⋊C₂²/C₂×D₄ → C₂ ⊆ Aut C₁₄	224	C14.82(C8:C2^2)	448,498
C₁₄.₈₃(C₈⋊C₂²) = C₄○D₂₈⋊C₄	φ: C₈⋊C₂²/C₂×D₄ → C₂ ⊆ Aut C₁₄	224	C14.83(C8:C2^2)	448,500
C₁₄.₈₄(C₈⋊C₂²) = C₄⋊C₄.₂₂₈D₁₄	φ: C₈⋊C₂²/C₂×D₄ → C₂ ⊆ Aut C₁₄	224	C14.84(C8:C2^2)	448,502
C₁₄.₈₅(C₈⋊C₂²) = C₄⋊C₄.₂₃₀D₁₄	φ: C₈⋊C₂²/C₂×D₄ → C₂ ⊆ Aut C₁₄	224	C14.85(C8:C2^2)	448,504
C₁₄.₈₆(C₈⋊C₂²) = D₄.₃Dic₁₄	φ: C₈⋊C₂²/C₂×D₄ → C₂ ⊆ Aut C₁₄	224	C14.86(C8:C2^2)	448,543
C₁₄.₈₇(C₈⋊C₂²) = D₄.₁D₂₈	φ: C₈⋊C₂²/C₂×D₄ → C₂ ⊆ Aut C₁₄	224	C14.87(C8:C2^2)	448,550
C₁₄.₈₈(C₈⋊C₂²) = C₄².₅₁D₁₄	φ: C₈⋊C₂²/C₂×D₄ → C₂ ⊆ Aut C₁₄	224	C14.88(C8:C2^2)	448,552
C₁₄.₈₉(C₈⋊C₂²) = (C₂×D₄).D₁₄	φ: C₈⋊C₂²/C₂×D₄ → C₂ ⊆ Aut C₁₄	224	C14.89(C8:C2^2)	448,569
C₁₄.₉₀(C₈⋊C₂²) = D₂₈⋊₁₇D₄	φ: C₈⋊C₂²/C₂×D₄ → C₂ ⊆ Aut C₁₄	224	C14.90(C8:C2^2)	448,571
C₁₄.₉₁(C₈⋊C₂²) = C₄⋊D₄⋊D₇	φ: C₈⋊C₂²/C₂×D₄ → C₂ ⊆ Aut C₁₄	224	C14.91(C8:C2^2)	448,573
C₁₄.₉₂(C₈⋊C₂²) = C₇⋊C₈⋊₅D₄	φ: C₈⋊C₂²/C₂×D₄ → C₂ ⊆ Aut C₁₄	224	C14.92(C8:C2^2)	448,576
C₁₄.₉₃(C₈⋊C₂²) = C₄².₇₂D₁₄	φ: C₈⋊C₂²/C₂×D₄ → C₂ ⊆ Aut C₁₄	224	C14.93(C8:C2^2)	448,605
C₁₄.₉₄(C₈⋊C₂²) = C₂₈⋊₂D₈	φ: C₈⋊C₂²/C₂×D₄ → C₂ ⊆ Aut C₁₄	224	C14.94(C8:C2^2)	448,606
C₁₄.₉₅(C₈⋊C₂²) = C₄².₇₄D₁₄	φ: C₈⋊C₂²/C₂×D₄ → C₂ ⊆ Aut C₁₄	224	C14.95(C8:C2^2)	448,608
C₁₄.₉₆(C₈⋊C₂²) = Dic₁₄⋊₉D₄	φ: C₈⋊C₂²/C₂×D₄ → C₂ ⊆ Aut C₁₄	224	C14.96(C8:C2^2)	448,609
C₁₄.₉₇(C₈⋊C₂²) = C₄².₇₆D₁₄	φ: C₈⋊C₂²/C₂×D₄ → C₂ ⊆ Aut C₁₄	448	C14.97(C8:C2^2)	448,614
C₁₄.₉₈(C₈⋊C₂²) = D₂₈⋊₅Q₈	φ: C₈⋊C₂²/C₂×D₄ → C₂ ⊆ Aut C₁₄	224	C14.98(C8:C2^2)	448,618
C₁₄.₉₉(C₈⋊C₂²) = C₄².₈₂D₁₄	φ: C₈⋊C₂²/C₂×D₄ → C₂ ⊆ Aut C₁₄	224	C14.99(C8:C2^2)	448,623
C₁₄.₁₀₀(C₈⋊C₂²) = Dic₁₄⋊₅Q₈	φ: C₈⋊C₂²/C₂×D₄ → C₂ ⊆ Aut C₁₄	448	C14.100(C8:C2^2)	448,625
C₁₄.₁₀₁(C₈⋊C₂²) = (D₄×C₁₄)⋊₆C₄	φ: C₈⋊C₂²/C₂×D₄ → C₂ ⊆ Aut C₁₄	112	C14.101(C8:C2^2)	448,749
C₁₄.₁₀₂(C₈⋊C₂²) = (C₂×C₁₄)⋊₈D₈	φ: C₈⋊C₂²/C₂×D₄ → C₂ ⊆ Aut C₁₄	112	C14.102(C8:C2^2)	448,751
C₁₄.₁₀₃(C₈⋊C₂²) = (C₇×D₄).₃₁D₄	φ: C₈⋊C₂²/C₂×D₄ → C₂ ⊆ Aut C₁₄	112	C14.103(C8:C2^2)	448,752
C₁₄.₁₀₄(C₈⋊C₂²) = C₂₈.(C₂×Q₈)	φ: C₈⋊C₂²/C₄○D₄ → C₂ ⊆ Aut C₁₄	224	C14.104(C8:C2^2)	448,529
C₁₄.₁₀₅(C₈⋊C₂²) = C₄⋊C₄⋊₃₆D₁₄	φ: C₈⋊C₂²/C₄○D₄ → C₂ ⊆ Aut C₁₄	112	C14.105(C8:C2^2)	448,535
C₁₄.₁₀₆(C₈⋊C₂²) = C₄⋊C₄.₂₃₆D₁₄	φ: C₈⋊C₂²/C₄○D₄ → C₂ ⊆ Aut C₁₄	224	C14.106(C8:C2^2)	448,537
C₁₄.₁₀₇(C₈⋊C₂²) = C₂₈.₃₈SD₁₆	φ: C₈⋊C₂²/C₄○D₄ → C₂ ⊆ Aut C₁₄	224	C14.107(C8:C2^2)	448,542
C₁₄.₁₀₈(C₈⋊C₂²) = C₄².₄₈D₁₄	φ: C₈⋊C₂²/C₄○D₄ → C₂ ⊆ Aut C₁₄	224	C14.108(C8:C2^2)	448,548
C₁₄.₁₀₉(C₈⋊C₂²) = C₂₈⋊₇D₈	φ: C₈⋊C₂²/C₄○D₄ → C₂ ⊆ Aut C₁₄	224	C14.109(C8:C2^2)	448,549
C₁₄.₁₁₀(C₈⋊C₂²) = C₂₈.₂₃Q₁₆	φ: C₈⋊C₂²/C₄○D₄ → C₂ ⊆ Aut C₁₄	448	C14.110(C8:C2^2)	448,555
C₁₄.₁₁₁(C₈⋊C₂²) = C₄².₅₆D₁₄	φ: C₈⋊C₂²/C₄○D₄ → C₂ ⊆ Aut C₁₄	224	C14.111(C8:C2^2)	448,560
C₁₄.₁₁₂(C₈⋊C₂²) = Q₈⋊D₂₈	φ: C₈⋊C₂²/C₄○D₄ → C₂ ⊆ Aut C₁₄	224	C14.112(C8:C2^2)	448,561
C₁₄.₁₁₃(C₈⋊C₂²) = C₄⋊D₄.D₇	φ: C₈⋊C₂²/C₄○D₄ → C₂ ⊆ Aut C₁₄	224	C14.113(C8:C2^2)	448,568
C₁₄.₁₁₄(C₈⋊C₂²) = D₂₈⋊₁₆D₄	φ: C₈⋊C₂²/C₄○D₄ → C₂ ⊆ Aut C₁₄	112	C14.114(C8:C2^2)	448,570
C₁₄.₁₁₅(C₈⋊C₂²) = (C₂×C₁₄).Q₁₆	φ: C₈⋊C₂²/C₄○D₄ → C₂ ⊆ Aut C₁₄	224	C14.115(C8:C2^2)	448,578
C₁₄.₁₁₆(C₈⋊C₂²) = D₂₈.₃₆D₄	φ: C₈⋊C₂²/C₄○D₄ → C₂ ⊆ Aut C₁₄	112	C14.116(C8:C2^2)	448,580
C₁₄.₁₁₇(C₈⋊C₂²) = C₇⋊C₈⋊₆D₄	φ: C₈⋊C₂²/C₄○D₄ → C₂ ⊆ Aut C₁₄	224	C14.117(C8:C2^2)	448,583
C₁₄.₁₁₈(C₈⋊C₂²) = C₄².₆₂D₁₄	φ: C₈⋊C₂²/C₄○D₄ → C₂ ⊆ Aut C₁₄	224	C14.118(C8:C2^2)	448,589
C₁₄.₁₁₉(C₈⋊C₂²) = D₂₈.₂₃D₄	φ: C₈⋊C₂²/C₄○D₄ → C₂ ⊆ Aut C₁₄	224	C14.119(C8:C2^2)	448,591
C₁₄.₁₂₀(C₈⋊C₂²) = C₄².₆₄D₁₄	φ: C₈⋊C₂²/C₄○D₄ → C₂ ⊆ Aut C₁₄	224	C14.120(C8:C2^2)	448,592
C₁₄.₁₂₁(C₈⋊C₂²) = C₄².₆₈D₁₄	φ: C₈⋊C₂²/C₄○D₄ → C₂ ⊆ Aut C₁₄	448	C14.121(C8:C2^2)	448,599
C₁₄.₁₂₂(C₈⋊C₂²) = D₂₈.₄Q₈	φ: C₈⋊C₂²/C₄○D₄ → C₂ ⊆ Aut C₁₄	224	C14.122(C8:C2^2)	448,600
C₁₄.₁₂₃(C₈⋊C₂²) = C₄².₇₀D₁₄	φ: C₈⋊C₂²/C₄○D₄ → C₂ ⊆ Aut C₁₄	224	C14.123(C8:C2^2)	448,601
C₁₄.₁₂₄(C₈⋊C₂²) = C₄○D₄⋊Dic₇	φ: C₈⋊C₂²/C₄○D₄ → C₂ ⊆ Aut C₁₄	224	C14.124(C8:C2^2)	448,766
C₁₄.₁₂₅(C₈⋊C₂²) = (C₇×D₄)⋊₁₄D₄	φ: C₈⋊C₂²/C₄○D₄ → C₂ ⊆ Aut C₁₄	224	C14.125(C8:C2^2)	448,772
C₁₄.₁₂₆(C₈⋊C₂²) = C₇×C₂³.₃₆D₄	central extension (φ=1)	224	C14.126(C8:C2^2)	448,825
C₁₄.₁₂₇(C₈⋊C₂²) = C₇×C₂³.₃₇D₄	central extension (φ=1)	112	C14.127(C8:C2^2)	448,826
C₁₄.₁₂₈(C₈⋊C₂²) = C₇×M₄(2)⋊C₄	central extension (φ=1)	224	C14.128(C8:C2^2)	448,836
C₁₄.₁₂₉(C₈⋊C₂²) = C₇×SD₁₆⋊C₄	central extension (φ=1)	224	C14.129(C8:C2^2)	448,848
C₁₄.₁₃₀(C₈⋊C₂²) = C₇×D₈⋊C₄	central extension (φ=1)	224	C14.130(C8:C2^2)	448,850
C₁₄.₁₃₁(C₈⋊C₂²) = C₇×C₂²⋊D₈	central extension (φ=1)	112	C14.131(C8:C2^2)	448,855
C₁₄.₁₃₂(C₈⋊C₂²) = C₇×D₄⋊D₄	central extension (φ=1)	224	C14.132(C8:C2^2)	448,857
C₁₄.₁₃₃(C₈⋊C₂²) = C₇×C₂²⋊SD₁₆	central extension (φ=1)	112	C14.133(C8:C2^2)	448,858
C₁₄.₁₃₄(C₈⋊C₂²) = C₇×C₄⋊D₈	central extension (φ=1)	224	C14.134(C8:C2^2)	448,867
C₁₄.₁₃₅(C₈⋊C₂²) = C₇×C₄⋊SD₁₆	central extension (φ=1)	224	C14.135(C8:C2^2)	448,868
C₁₄.₁₃₆(C₈⋊C₂²) = C₇×D₄.₂D₄	central extension (φ=1)	224	C14.136(C8:C2^2)	448,871
C₁₄.₁₃₇(C₈⋊C₂²) = C₇×C₈⋊D₄	central extension (φ=1)	224	C14.137(C8:C2^2)	448,876
C₁₄.₁₃₈(C₈⋊C₂²) = C₇×C₈⋊₂D₄	central extension (φ=1)	224	C14.138(C8:C2^2)	448,877
C₁₄.₁₃₉(C₈⋊C₂²) = C₇×D₄⋊₂Q₈	central extension (φ=1)	224	C14.139(C8:C2^2)	448,884
C₁₄.₁₄₀(C₈⋊C₂²) = C₇×C₄.Q₁₆	central extension (φ=1)	448	C14.140(C8:C2^2)	448,885
C₁₄.₁₄₁(C₈⋊C₂²) = C₇×D₄.Q₈	central extension (φ=1)	224	C14.141(C8:C2^2)	448,886
C₁₄.₁₄₂(C₈⋊C₂²) = C₇×C₂³.₄₆D₄	central extension (φ=1)	224	C14.142(C8:C2^2)	448,889
C₁₄.₁₄₃(C₈⋊C₂²) = C₇×C₂³.₁₉D₄	central extension (φ=1)	224	C14.143(C8:C2^2)	448,890
C₁₄.₁₄₄(C₈⋊C₂²) = C₇×C₂³.₄₈D₄	central extension (φ=1)	224	C14.144(C8:C2^2)	448,892
C₁₄.₁₄₅(C₈⋊C₂²) = C₇×C₄².₂₈C₂²	central extension (φ=1)	224	C14.145(C8:C2^2)	448,897
C₁₄.₁₄₆(C₈⋊C₂²) = C₇×C₄².₂₉C₂²	central extension (φ=1)	224	C14.146(C8:C2^2)	448,898
C₁₄.₁₄₇(C₈⋊C₂²) = C₇×C₈⋊₃D₄	central extension (φ=1)	224	C14.147(C8:C2^2)	448,904
C₁₄.₁₄₈(C₈⋊C₂²) = C₇×C₈⋊Q₈	central extension (φ=1)	448	C14.148(C8:C2^2)	448,909

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Extensions 1→N→G→Q→1 with N=C14 and Q=C8⋊C22

Extensions 1→N→G→Q→1 with N=C₁₄ and Q=C₈⋊C₂²