Extensions 1→N→G→Q→1 with N=C₈ and Q=C₂²×D₇

Direct product G=N×Q with N=C₈ and Q=C₂²×D₇

		d	ρ	Label	ID
D₇×C₂²×C₈		224		D7xC2^2xC8	448,1189

Semidirect products G=N:Q with N=C₈ and Q=C₂²×D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈⋊₁(C₂²×D₇) = D₇×C₈⋊C₂²	φ: C₂²×D₇/D₇ → C₂² ⊆ Aut C₈	56	8+	C8:1(C2^2xD7)	448,1225
C₈⋊₂(C₂²×D₇) = C₂×C₈⋊D₁₄	φ: C₂²×D₇/C₁₄ → C₂² ⊆ Aut C₈	112		C8:2(C2^2xD7)	448,1199
C₈⋊₃(C₂²×D₇) = C₂×D₈⋊D₇	φ: C₂²×D₇/C₁₄ → C₂² ⊆ Aut C₈	112		C8:3(C2^2xD7)	448,1208
C₈⋊₄(C₂²×D₇) = C₂×D₅₆⋊C₂	φ: C₂²×D₇/C₁₄ → C₂² ⊆ Aut C₈	112		C8:4(C2^2xD7)	448,1212
C₈⋊₅(C₂²×D₇) = C₂×D₇×D₈	φ: C₂²×D₇/D₁₄ → C₂ ⊆ Aut C₈	112		C8:5(C2^2xD7)	448,1207
C₈⋊₆(C₂²×D₇) = C₂×D₇×SD₁₆	φ: C₂²×D₇/D₁₄ → C₂ ⊆ Aut C₈	112		C8:6(C2^2xD7)	448,1211
C₈⋊₇(C₂²×D₇) = C₂×D₇×M₄(2)	φ: C₂²×D₇/D₁₄ → C₂ ⊆ Aut C₈	112		C8:7(C2^2xD7)	448,1196
C₈⋊₈(C₂²×D₇) = C₂²×D₅₆	φ: C₂²×D₇/C₂×C₁₄ → C₂ ⊆ Aut C₈	224		C8:8(C2^2xD7)	448,1193
C₈⋊₉(C₂²×D₇) = C₂²×C₅₆⋊C₂	φ: C₂²×D₇/C₂×C₁₄ → C₂ ⊆ Aut C₈	224		C8:9(C2^2xD7)	448,1192
C₈⋊₁₀(C₂²×D₇) = C₂²×C₈⋊D₇	φ: C₂²×D₇/C₂×C₁₄ → C₂ ⊆ Aut C₈	224		C8:10(C2^2xD7)	448,1190

Non-split extensions G=N.Q with N=C₈ and Q=C₂²×D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.₁(C₂²×D₇) = SD₁₆⋊D₁₄	φ: C₂²×D₇/D₇ → C₂² ⊆ Aut C₈	112	8-	C8.1(C2^2xD7)	448,1226
C₈.₂(C₂²×D₇) = D₈⋊₅D₁₄	φ: C₂²×D₇/D₇ → C₂² ⊆ Aut C₈	112	8+	C8.2(C2^2xD7)	448,1227
C₈.₃(C₂²×D₇) = D₈⋊₆D₁₄	φ: C₂²×D₇/D₇ → C₂² ⊆ Aut C₈	112	8-	C8.3(C2^2xD7)	448,1228
C₈.₄(C₂²×D₇) = D₇×C₈.C₂²	φ: C₂²×D₇/D₇ → C₂² ⊆ Aut C₈	112	8-	C8.4(C2^2xD7)	448,1229
C₈.₅(C₂²×D₇) = D₅₆⋊C₂²	φ: C₂²×D₇/D₇ → C₂² ⊆ Aut C₈	112	8+	C8.5(C2^2xD7)	448,1230
C₈.₆(C₂²×D₇) = C₅₆.C₂³	φ: C₂²×D₇/D₇ → C₂² ⊆ Aut C₈	112	8+	C8.6(C2^2xD7)	448,1231
C₈.₇(C₂²×D₇) = D₂₈.₄₄D₄	φ: C₂²×D₇/D₇ → C₂² ⊆ Aut C₈	224	8-	C8.7(C2^2xD7)	448,1232
C₈.₈(C₂²×D₇) = C₂×C₈.D₁₄	φ: C₂²×D₇/C₁₄ → C₂² ⊆ Aut C₈	224		C8.8(C2^2xD7)	448,1200
C₈.₉(C₂²×D₇) = C₅₆.₉C₂³	φ: C₂²×D₇/C₁₄ → C₂² ⊆ Aut C₈	112	4	C8.9(C2^2xD7)	448,1201
C₈.₁₀(C₂²×D₇) = D₈⋊₁₃D₁₄	φ: C₂²×D₇/C₁₄ → C₂² ⊆ Aut C₈	112	4	C8.10(C2^2xD7)	448,1210
C₈.₁₁(C₂²×D₇) = C₂×SD₁₆⋊D₇	φ: C₂²×D₇/C₁₄ → C₂² ⊆ Aut C₈	224		C8.11(C2^2xD7)	448,1213
C₈.₁₂(C₂²×D₇) = D₂₈.₂₉D₄	φ: C₂²×D₇/C₁₄ → C₂² ⊆ Aut C₈	112	4	C8.12(C2^2xD7)	448,1215
C₈.₁₃(C₂²×D₇) = C₂×Q₁₆⋊D₇	φ: C₂²×D₇/C₁₄ → C₂² ⊆ Aut C₈	224		C8.13(C2^2xD7)	448,1217
C₈.₁₄(C₂²×D₇) = D₂₈.₃₀D₄	φ: C₂²×D₇/C₁₄ → C₂² ⊆ Aut C₈	224	4	C8.14(C2^2xD7)	448,1219
C₈.₁₅(C₂²×D₇) = D₈⋊₁₀D₁₄	φ: C₂²×D₇/C₁₄ → C₂² ⊆ Aut C₈	112	4	C8.15(C2^2xD7)	448,1221
C₈.₁₆(C₂²×D₇) = D₈⋊₁₅D₁₄	φ: C₂²×D₇/C₁₄ → C₂² ⊆ Aut C₈	112	4+	C8.16(C2^2xD7)	448,1222
C₈.₁₇(C₂²×D₇) = D₈⋊₁₁D₁₄	φ: C₂²×D₇/C₁₄ → C₂² ⊆ Aut C₈	112	4	C8.17(C2^2xD7)	448,1223
C₈.₁₈(C₂²×D₇) = D₈.₁₀D₁₄	φ: C₂²×D₇/C₁₄ → C₂² ⊆ Aut C₈	224	4-	C8.18(C2^2xD7)	448,1224
C₈.₁₉(C₂²×D₇) = D₇×D₁₆	φ: C₂²×D₇/D₁₄ → C₂ ⊆ Aut C₈	112	4+	C8.19(C2^2xD7)	448,444
C₈.₂₀(C₂²×D₇) = D₈⋊D₁₄	φ: C₂²×D₇/D₁₄ → C₂ ⊆ Aut C₈	112	4	C8.20(C2^2xD7)	448,445
C₈.₂₁(C₂²×D₇) = D₁₆⋊₃D₇	φ: C₂²×D₇/D₁₄ → C₂ ⊆ Aut C₈	224	4-	C8.21(C2^2xD7)	448,446
C₈.₂₂(C₂²×D₇) = D₇×SD₃₂	φ: C₂²×D₇/D₁₄ → C₂ ⊆ Aut C₈	112	4	C8.22(C2^2xD7)	448,447
C₈.₂₃(C₂²×D₇) = D₁₁₂⋊C₂	φ: C₂²×D₇/D₁₄ → C₂ ⊆ Aut C₈	112	4+	C8.23(C2^2xD7)	448,448
C₈.₂₄(C₂²×D₇) = SD₃₂⋊D₇	φ: C₂²×D₇/D₁₄ → C₂ ⊆ Aut C₈	224	4-	C8.24(C2^2xD7)	448,449
C₈.₂₅(C₂²×D₇) = SD₃₂⋊₃D₇	φ: C₂²×D₇/D₁₄ → C₂ ⊆ Aut C₈	224	4	C8.25(C2^2xD7)	448,450
C₈.₂₆(C₂²×D₇) = D₇×Q₃₂	φ: C₂²×D₇/D₁₄ → C₂ ⊆ Aut C₈	224	4-	C8.26(C2^2xD7)	448,451
C₈.₂₇(C₂²×D₇) = Q₃₂⋊D₇	φ: C₂²×D₇/D₁₄ → C₂ ⊆ Aut C₈	224	4	C8.27(C2^2xD7)	448,452
C₈.₂₈(C₂²×D₇) = Q₃₂⋊₃D₇	φ: C₂²×D₇/D₁₄ → C₂ ⊆ Aut C₈	224	4+	C8.28(C2^2xD7)	448,453
C₈.₂₉(C₂²×D₇) = C₂×C₇⋊D₁₆	φ: C₂²×D₇/D₁₄ → C₂ ⊆ Aut C₈	224		C8.29(C2^2xD7)	448,680
C₈.₃₀(C₂²×D₇) = D₈.D₁₄	φ: C₂²×D₇/D₁₄ → C₂ ⊆ Aut C₈	112	4	C8.30(C2^2xD7)	448,681
C₈.₃₁(C₂²×D₇) = C₂×D₈.D₇	φ: C₂²×D₇/D₁₄ → C₂ ⊆ Aut C₈	224		C8.31(C2^2xD7)	448,682
C₈.₃₂(C₂²×D₇) = C₂×C₇⋊SD₃₂	φ: C₂²×D₇/D₁₄ → C₂ ⊆ Aut C₈	224		C8.32(C2^2xD7)	448,712
C₈.₃₃(C₂²×D₇) = Q₁₆.D₁₄	φ: C₂²×D₇/D₁₄ → C₂ ⊆ Aut C₈	224	4	C8.33(C2^2xD7)	448,713
C₈.₃₄(C₂²×D₇) = C₂×C₇⋊Q₃₂	φ: C₂²×D₇/D₁₄ → C₂ ⊆ Aut C₈	448		C8.34(C2^2xD7)	448,714
C₈.₃₅(C₂²×D₇) = Q₁₆⋊D₁₄	φ: C₂²×D₇/D₁₄ → C₂ ⊆ Aut C₈	112	4+	C8.35(C2^2xD7)	448,727
C₈.₃₆(C₂²×D₇) = C₅₆.₃₀C₂³	φ: C₂²×D₇/D₁₄ → C₂ ⊆ Aut C₈	224	4	C8.36(C2^2xD7)	448,728
C₈.₃₇(C₂²×D₇) = C₅₆.₃₁C₂³	φ: C₂²×D₇/D₁₄ → C₂ ⊆ Aut C₈	224	4-	C8.37(C2^2xD7)	448,729
C₈.₃₈(C₂²×D₇) = C₂×D₈⋊₃D₇	φ: C₂²×D₇/D₁₄ → C₂ ⊆ Aut C₈	224		C8.38(C2^2xD7)	448,1209
C₈.₃₉(C₂²×D₇) = C₂×D₇×Q₁₆	φ: C₂²×D₇/D₁₄ → C₂ ⊆ Aut C₈	224		C8.39(C2^2xD7)	448,1216
C₈.₄₀(C₂²×D₇) = C₂×Q₈.D₁₄	φ: C₂²×D₇/D₁₄ → C₂ ⊆ Aut C₈	224		C8.40(C2^2xD7)	448,1218
C₈.₄₁(C₂²×D₇) = C₂×SD₁₆⋊₃D₇	φ: C₂²×D₇/D₁₄ → C₂ ⊆ Aut C₈	224		C8.41(C2^2xD7)	448,1214
C₈.₄₂(C₂²×D₇) = D₇×C₄○D₈	φ: C₂²×D₇/D₁₄ → C₂ ⊆ Aut C₈	112	4	C8.42(C2^2xD7)	448,1220
C₈.₄₃(C₂²×D₇) = C₂×D₂₈.C₄	φ: C₂²×D₇/D₁₄ → C₂ ⊆ Aut C₈	224		C8.43(C2^2xD7)	448,1197
C₈.₄₄(C₂²×D₇) = C₂₈.₇₀C₂⁴	φ: C₂²×D₇/D₁₄ → C₂ ⊆ Aut C₈	112	4	C8.44(C2^2xD7)	448,1198
C₈.₄₅(C₂²×D₇) = C₂×D₁₁₂	φ: C₂²×D₇/C₂×C₁₄ → C₂ ⊆ Aut C₈	224		C8.45(C2^2xD7)	448,436
C₈.₄₆(C₂²×D₇) = C₂×C₁₁₂⋊C₂	φ: C₂²×D₇/C₂×C₁₄ → C₂ ⊆ Aut C₈	224		C8.46(C2^2xD7)	448,437
C₈.₄₇(C₂²×D₇) = D₁₁₂⋊₇C₂	φ: C₂²×D₇/C₂×C₁₄ → C₂ ⊆ Aut C₈	224	2	C8.47(C2^2xD7)	448,438
C₈.₄₈(C₂²×D₇) = C₂×Dic₅₆	φ: C₂²×D₇/C₂×C₁₄ → C₂ ⊆ Aut C₈	448		C8.48(C2^2xD7)	448,439
C₈.₄₉(C₂²×D₇) = C₁₆⋊D₁₄	φ: C₂²×D₇/C₂×C₁₄ → C₂ ⊆ Aut C₈	112	4+	C8.49(C2^2xD7)	448,442
C₈.₅₀(C₂²×D₇) = C₁₆.D₁₄	φ: C₂²×D₇/C₂×C₁₄ → C₂ ⊆ Aut C₈	224	4-	C8.50(C2^2xD7)	448,443
C₈.₅₁(C₂²×D₇) = C₂×D₅₆⋊₇C₂	φ: C₂²×D₇/C₂×C₁₄ → C₂ ⊆ Aut C₈	224		C8.51(C2^2xD7)	448,1194
C₈.₅₂(C₂²×D₇) = C₂²×Dic₂₈	φ: C₂²×D₇/C₂×C₁₄ → C₂ ⊆ Aut C₈	448		C8.52(C2^2xD7)	448,1195
C₈.₅₃(C₂²×D₇) = D₄.₁₂D₂₈	φ: C₂²×D₇/C₂×C₁₄ → C₂ ⊆ Aut C₈	112	4+	C8.53(C2^2xD7)	448,1205
C₈.₅₄(C₂²×D₇) = D₄.₁₃D₂₈	φ: C₂²×D₇/C₂×C₁₄ → C₂ ⊆ Aut C₈	224	4-	C8.54(C2^2xD7)	448,1206
C₈.₅₅(C₂²×D₇) = D₄.₁₁D₂₈	φ: C₂²×D₇/C₂×C₁₄ → C₂ ⊆ Aut C₈	112	4	C8.55(C2^2xD7)	448,1204
C₈.₅₆(C₂²×D₇) = C₅₆.₄₉C₂³	φ: C₂²×D₇/C₂×C₁₄ → C₂ ⊆ Aut C₈	112	4	C8.56(C2^2xD7)	448,1203
C₈.₅₇(C₂²×D₇) = D₇×C₂×C₁₆	central extension (φ=1)	224		C8.57(C2^2xD7)	448,433
C₈.₅₈(C₂²×D₇) = C₂×C₁₆⋊D₇	central extension (φ=1)	224		C8.58(C2^2xD7)	448,434
C₈.₅₉(C₂²×D₇) = D₂₈.₄C₈	central extension (φ=1)	224	2	C8.59(C2^2xD7)	448,435
C₈.₆₀(C₂²×D₇) = D₇×M₅(2)	central extension (φ=1)	112	4	C8.60(C2^2xD7)	448,440
C₈.₆₁(C₂²×D₇) = C₁₆.₁₂D₁₄	central extension (φ=1)	224	4	C8.61(C2^2xD7)	448,441
C₈.₆₂(C₂²×D₇) = C₂²×C₇⋊C₁₆	central extension (φ=1)	448		C8.62(C2^2xD7)	448,630
C₈.₆₃(C₂²×D₇) = C₂×C₂₈.C₈	central extension (φ=1)	224		C8.63(C2^2xD7)	448,631
C₈.₆₄(C₂²×D₇) = C₅₆.₇₀C₂³	central extension (φ=1)	224	4	C8.64(C2^2xD7)	448,674
C₈.₆₅(C₂²×D₇) = C₂×D₂₈.₂C₄	central extension (φ=1)	224		C8.65(C2^2xD7)	448,1191
C₈.₆₆(C₂²×D₇) = D₇×C₈○D₄	central extension (φ=1)	112	4	C8.66(C2^2xD7)	448,1202

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Extensions 1→N→G→Q→1 with N=C8 and Q=C22×D7

Extensions 1→N→G→Q→1 with N=C₈ and Q=C₂²×D₇