Extensions 1→N→G→Q→1 with N=C₂² and Q=D₄⋊₂S₃

Direct product G=N×Q with N=C₂² and Q=D₄⋊₂S₃

		d	ρ	Label	ID
C₂²×D₄⋊₂S₃		96		C2^2xD4:2S3	192,1515

Semidirect products G=N:Q with N=C₂² and Q=D₄⋊₂S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(D₄⋊₂S₃) = D₄⋊₂S₄	φ: D₄⋊₂S₃/D₄ → S₃ ⊆ Aut C₂²	24	6	C2^2:(D4:2S3)	192,1473
C₂²⋊₂(D₄⋊₂S₃) = Dic₆⋊₁₉D₄	φ: D₄⋊₂S₃/Dic₆ → C₂ ⊆ Aut C₂²	96		C2^2:2(D4:2S3)	192,1157
C₂²⋊₃(D₄⋊₂S₃) = C₄⋊C₄⋊₂₁D₆	φ: D₄⋊₂S₃/C₄×S₃ → C₂ ⊆ Aut C₂²	48		C2^2:3(D4:2S3)	192,1165
C₂²⋊₄(D₄⋊₂S₃) = C₂⁴.₆₇D₆	φ: D₄⋊₂S₃/C₂×Dic₃ → C₂ ⊆ Aut C₂²	48		C2^2:4(D4:2S3)	192,1145
C₂²⋊₅(D₄⋊₂S₃) = C₂⁴.₄₄D₆	φ: D₄⋊₂S₃/C₃⋊D₄ → C₂ ⊆ Aut C₂²	48		C2^2:5(D4:2S3)	192,1150
C₂²⋊₆(D₄⋊₂S₃) = C₂⁴.₅₃D₆	φ: D₄⋊₂S₃/C₃×D₄ → C₂ ⊆ Aut C₂²	48		C2^2:6(D4:2S3)	192,1365

Non-split extensions G=N.Q with N=C₂² and Q=D₄⋊₂S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(D₄⋊₂S₃) = C₆.₃₄2₊¹⁺⁴	φ: D₄⋊₂S₃/Dic₆ → C₂ ⊆ Aut C₂²	96		C2^2.1(D4:2S3)	192,1160
C₂².₂(D₄⋊₂S₃) = C₆.₁₁₅2₊¹⁺⁴	φ: D₄⋊₂S₃/Dic₆ → C₂ ⊆ Aut C₂²	96		C2^2.2(D4:2S3)	192,1177
C₂².₃(D₄⋊₂S₃) = D₈⋊₅Dic₃	φ: D₄⋊₂S₃/C₄×S₃ → C₂ ⊆ Aut C₂²	48	4	C2^2.3(D4:2S3)	192,755
C₂².₄(D₄⋊₂S₃) = D₈⋊₄Dic₃	φ: D₄⋊₂S₃/C₄×S₃ → C₂ ⊆ Aut C₂²	48	4	C2^2.4(D4:2S3)	192,756
C₂².₅(D₄⋊₂S₃) = C₄⋊C₄.₁₇₈D₆	φ: D₄⋊₂S₃/C₄×S₃ → C₂ ⊆ Aut C₂²	96		C2^2.5(D4:2S3)	192,1159
C₂².₆(D₄⋊₂S₃) = C₆.₇₀2_-¹⁺⁴	φ: D₄⋊₂S₃/C₄×S₃ → C₂ ⊆ Aut C₂²	96		C2^2.6(D4:2S3)	192,1161
C₂².₇(D₄⋊₂S₃) = C₆.₄₆2₊¹⁺⁴	φ: D₄⋊₂S₃/C₄×S₃ → C₂ ⊆ Aut C₂²	48		C2^2.7(D4:2S3)	192,1176
C₂².₈(D₄⋊₂S₃) = M₄(2).₂₂D₆	φ: D₄⋊₂S₃/C₂×Dic₃ → C₂ ⊆ Aut C₂²	48	4	C2^2.8(D4:2S3)	192,382
C₂².₉(D₄⋊₂S₃) = C₄².₁₉₆D₆	φ: D₄⋊₂S₃/C₂×Dic₃ → C₂ ⊆ Aut C₂²	48	4	C2^2.9(D4:2S3)	192,383
C₂².₁₀(D₄⋊₂S₃) = C₂⁴.₄₆D₆	φ: D₄⋊₂S₃/C₂×Dic₃ → C₂ ⊆ Aut C₂²	48		C2^2.10(D4:2S3)	192,1152
C₂².₁₁(D₄⋊₂S₃) = C₄⋊C₄.₁₉₇D₆	φ: D₄⋊₂S₃/C₂×Dic₃ → C₂ ⊆ Aut C₂²	96		C2^2.11(D4:2S3)	192,1208
C₂².₁₂(D₄⋊₂S₃) = C₆.₈₅2_-¹⁺⁴	φ: D₄⋊₂S₃/C₂×Dic₃ → C₂ ⊆ Aut C₂²	96		C2^2.12(D4:2S3)	192,1224
C₂².₁₃(D₄⋊₂S₃) = M₄(2).D₆	φ: D₄⋊₂S₃/C₃⋊D₄ → C₂ ⊆ Aut C₂²	48	8+	C2^2.13(D4:2S3)	192,758
C₂².₁₄(D₄⋊₂S₃) = M₄(2).₁₃D₆	φ: D₄⋊₂S₃/C₃⋊D₄ → C₂ ⊆ Aut C₂²	48	8-	C2^2.14(D4:2S3)	192,759
C₂².₁₅(D₄⋊₂S₃) = M₄(2).₁₅D₆	φ: D₄⋊₂S₃/C₃⋊D₄ → C₂ ⊆ Aut C₂²	48	8+	C2^2.15(D4:2S3)	192,762
C₂².₁₆(D₄⋊₂S₃) = M₄(2).₁₆D₆	φ: D₄⋊₂S₃/C₃⋊D₄ → C₂ ⊆ Aut C₂²	96	8-	C2^2.16(D4:2S3)	192,763
C₂².₁₇(D₄⋊₂S₃) = C₂⁴.₄₃D₆	φ: D₄⋊₂S₃/C₃⋊D₄ → C₂ ⊆ Aut C₂²	48		C2^2.17(D4:2S3)	192,1146
C₂².₁₈(D₄⋊₂S₃) = C₆.₈₀2_-¹⁺⁴	φ: D₄⋊₂S₃/C₃⋊D₄ → C₂ ⊆ Aut C₂²	96		C2^2.18(D4:2S3)	192,1209
C₂².₁₉(D₄⋊₂S₃) = C₆.₁₂₂2₊¹⁺⁴	φ: D₄⋊₂S₃/C₃⋊D₄ → C₂ ⊆ Aut C₂²	48		C2^2.19(D4:2S3)	192,1217
C₂².₂₀(D₄⋊₂S₃) = C₂₄.₂₃D₄	φ: D₄⋊₂S₃/C₃×D₄ → C₂ ⊆ Aut C₂²	48	4	C2^2.20(D4:2S3)	192,719
C₂².₂₁(D₄⋊₂S₃) = C₂₄.₄₄D₄	φ: D₄⋊₂S₃/C₃×D₄ → C₂ ⊆ Aut C₂²	48	4	C2^2.21(D4:2S3)	192,736
C₂².₂₂(D₄⋊₂S₃) = C₂₄.₂₉D₄	φ: D₄⋊₂S₃/C₃×D₄ → C₂ ⊆ Aut C₂²	96	4	C2^2.22(D4:2S3)	192,751
C₂².₂₃(D₄⋊₂S₃) = C₂⁴.₄₂D₆	φ: D₄⋊₂S₃/C₃×D₄ → C₂ ⊆ Aut C₂²	48		C2^2.23(D4:2S3)	192,1054
C₂².₂₄(D₄⋊₂S₃) = C₆.₅2_-¹⁺⁴	φ: D₄⋊₂S₃/C₃×D₄ → C₂ ⊆ Aut C₂²	96		C2^2.24(D4:2S3)	192,1072
C₂².₂₅(D₄⋊₂S₃) = (C₂×C₁₂)⋊Q₈	central extension (φ=1)	192		C2^2.25(D4:2S3)	192,205
C₂².₂₆(D₄⋊₂S₃) = C₆.(C₄×Q₈)	central extension (φ=1)	192		C2^2.26(D4:2S3)	192,206
C₂².₂₇(D₄⋊₂S₃) = Dic₃.₅C₄²	central extension (φ=1)	192		C2^2.27(D4:2S3)	192,207
C₂².₂₈(D₄⋊₂S₃) = Dic₃⋊C₄²	central extension (φ=1)	192		C2^2.28(D4:2S3)	192,208
C₂².₂₉(D₄⋊₂S₃) = C₃⋊(C₄²⋊₈C₄)	central extension (φ=1)	192		C2^2.29(D4:2S3)	192,209
C₂².₃₀(D₄⋊₂S₃) = C₃⋊(C₄²⋊₅C₄)	central extension (φ=1)	192		C2^2.30(D4:2S3)	192,210
C₂².₃₁(D₄⋊₂S₃) = C₆.(C₄×D₄)	central extension (φ=1)	192		C2^2.31(D4:2S3)	192,211
C₂².₃₂(D₄⋊₂S₃) = C₂.(C₄×D₁₂)	central extension (φ=1)	192		C2^2.32(D4:2S3)	192,212
C₂².₃₃(D₄⋊₂S₃) = C₂.(C₄×Dic₆)	central extension (φ=1)	192		C2^2.33(D4:2S3)	192,213
C₂².₃₄(D₄⋊₂S₃) = Dic₃⋊C₄⋊C₄	central extension (φ=1)	192		C2^2.34(D4:2S3)	192,214
C₂².₃₅(D₄⋊₂S₃) = C₂².₅₈(S₃×D₄)	central extension (φ=1)	96		C2^2.35(D4:2S3)	192,223
C₂².₃₆(D₄⋊₂S₃) = D₆⋊C₄²	central extension (φ=1)	96		C2^2.36(D4:2S3)	192,225
C₂².₃₇(D₄⋊₂S₃) = D₆⋊C₄⋊C₄	central extension (φ=1)	96		C2^2.37(D4:2S3)	192,227
C₂².₃₈(D₄⋊₂S₃) = D₆⋊C₄⋊₅C₄	central extension (φ=1)	96		C2^2.38(D4:2S3)	192,228
C₂².₃₉(D₄⋊₂S₃) = D₆⋊C₄⋊₃C₄	central extension (φ=1)	96		C2^2.39(D4:2S3)	192,229
C₂².₄₀(D₄⋊₂S₃) = Dic₃×C₂²⋊C₄	central extension (φ=1)	96		C2^2.40(D4:2S3)	192,500
C₂².₄₁(D₄⋊₂S₃) = C₂⁴.₅₅D₆	central extension (φ=1)	96		C2^2.41(D4:2S3)	192,501
C₂².₄₂(D₄⋊₂S₃) = C₂⁴.₅₆D₆	central extension (φ=1)	96		C2^2.42(D4:2S3)	192,502
C₂².₄₃(D₄⋊₂S₃) = C₂⁴.₁₄D₆	central extension (φ=1)	96		C2^2.43(D4:2S3)	192,503
C₂².₄₄(D₄⋊₂S₃) = C₂⁴.₁₅D₆	central extension (φ=1)	96		C2^2.44(D4:2S3)	192,504
C₂².₄₅(D₄⋊₂S₃) = C₂⁴.₅₇D₆	central extension (φ=1)	96		C2^2.45(D4:2S3)	192,505
C₂².₄₆(D₄⋊₂S₃) = C₂⁴.₅₈D₆	central extension (φ=1)	96		C2^2.46(D4:2S3)	192,509
C₂².₄₇(D₄⋊₂S₃) = C₂⁴.₁₉D₆	central extension (φ=1)	96		C2^2.47(D4:2S3)	192,510
C₂².₄₈(D₄⋊₂S₃) = C₂⁴.₂₃D₆	central extension (φ=1)	96		C2^2.48(D4:2S3)	192,515
C₂².₄₉(D₄⋊₂S₃) = C₂⁴.₂₄D₆	central extension (φ=1)	96		C2^2.49(D4:2S3)	192,516
C₂².₅₀(D₄⋊₂S₃) = C₂⁴.₆₀D₆	central extension (φ=1)	96		C2^2.50(D4:2S3)	192,517
C₂².₅₁(D₄⋊₂S₃) = C₁₂⋊(C₄⋊C₄)	central extension (φ=1)	192		C2^2.51(D4:2S3)	192,531
C₂².₅₂(D₄⋊₂S₃) = C₄.(D₆⋊C₄)	central extension (φ=1)	192		C2^2.52(D4:2S3)	192,532
C₂².₅₃(D₄⋊₂S₃) = Dic₃×C₄⋊C₄	central extension (φ=1)	192		C2^2.53(D4:2S3)	192,533
C₂².₅₄(D₄⋊₂S₃) = Dic₃⋊(C₄⋊C₄)	central extension (φ=1)	192		C2^2.54(D4:2S3)	192,535
C₂².₅₅(D₄⋊₂S₃) = (C₄×Dic₃)⋊₉C₄	central extension (φ=1)	192		C2^2.55(D4:2S3)	192,536
C₂².₅₆(D₄⋊₂S₃) = C₆.₆₇(C₄×D₄)	central extension (φ=1)	192		C2^2.56(D4:2S3)	192,537
C₂².₅₇(D₄⋊₂S₃) = C₄⋊C₄⋊₅Dic₃	central extension (φ=1)	192		C2^2.57(D4:2S3)	192,539
C₂².₅₈(D₄⋊₂S₃) = C₄⋊C₄⋊₆Dic₃	central extension (φ=1)	192		C2^2.58(D4:2S3)	192,543
C₂².₅₉(D₄⋊₂S₃) = C₄⋊(D₆⋊C₄)	central extension (φ=1)	96		C2^2.59(D4:2S3)	192,546
C₂².₆₀(D₄⋊₂S₃) = D₆⋊C₄⋊₇C₄	central extension (φ=1)	96		C2^2.60(D4:2S3)	192,549
C₂².₆₁(D₄⋊₂S₃) = C₂⁴.₂₉D₆	central extension (φ=1)	96		C2^2.61(D4:2S3)	192,779
C₂².₆₂(D₄⋊₂S₃) = C₂⁴.₃₀D₆	central extension (φ=1)	96		C2^2.62(D4:2S3)	192,780
C₂².₆₃(D₄⋊₂S₃) = C₂×C₂³.₁₆D₆	central extension (φ=1)	96		C2^2.63(D4:2S3)	192,1039
C₂².₆₄(D₄⋊₂S₃) = C₂×Dic₃.D₄	central extension (φ=1)	96		C2^2.64(D4:2S3)	192,1040
C₂².₆₅(D₄⋊₂S₃) = C₂×C₂³.₈D₆	central extension (φ=1)	96		C2^2.65(D4:2S3)	192,1041
C₂².₆₆(D₄⋊₂S₃) = C₂×Dic₃⋊₄D₄	central extension (φ=1)	96		C2^2.66(D4:2S3)	192,1044
C₂².₆₇(D₄⋊₂S₃) = C₂×C₂³.₉D₆	central extension (φ=1)	96		C2^2.67(D4:2S3)	192,1047
C₂².₆₈(D₄⋊₂S₃) = C₂×C₂³.₁₁D₆	central extension (φ=1)	96		C2^2.68(D4:2S3)	192,1050
C₂².₆₉(D₄⋊₂S₃) = C₂×C₂³.₂₁D₆	central extension (φ=1)	96		C2^2.69(D4:2S3)	192,1051
C₂².₇₀(D₄⋊₂S₃) = C₂×Dic₆⋊C₄	central extension (φ=1)	192		C2^2.70(D4:2S3)	192,1055
C₂².₇₁(D₄⋊₂S₃) = C₂×Dic₃.Q₈	central extension (φ=1)	192		C2^2.71(D4:2S3)	192,1057
C₂².₇₂(D₄⋊₂S₃) = C₂×C₄.Dic₆	central extension (φ=1)	192		C2^2.72(D4:2S3)	192,1058
C₂².₇₃(D₄⋊₂S₃) = C₂×C₄⋊C₄⋊₇S₃	central extension (φ=1)	96		C2^2.73(D4:2S3)	192,1061
C₂².₇₄(D₄⋊₂S₃) = C₂×C₄.D₁₂	central extension (φ=1)	96		C2^2.74(D4:2S3)	192,1068
C₂².₇₅(D₄⋊₂S₃) = C₂×C₄⋊C₄⋊S₃	central extension (φ=1)	96		C2^2.75(D4:2S3)	192,1071
C₂².₇₆(D₄⋊₂S₃) = C₂×D₄×Dic₃	central extension (φ=1)	96		C2^2.76(D4:2S3)	192,1354
C₂².₇₇(D₄⋊₂S₃) = C₂×C₂³.₂₃D₆	central extension (φ=1)	96		C2^2.77(D4:2S3)	192,1355
C₂².₇₈(D₄⋊₂S₃) = C₂×C₂³.₁₂D₆	central extension (φ=1)	96		C2^2.78(D4:2S3)	192,1356
C₂².₇₉(D₄⋊₂S₃) = C₂×D₆⋊₃D₄	central extension (φ=1)	96		C2^2.79(D4:2S3)	192,1359
C₂².₈₀(D₄⋊₂S₃) = C₂×C₂³.₁₄D₆	central extension (φ=1)	96		C2^2.80(D4:2S3)	192,1361
C₂².₈₁(D₄⋊₂S₃) = (C₂×C₄)⋊Dic₆	central stem extension (φ=1)	192		C2^2.81(D4:2S3)	192,215
C₂².₈₂(D₄⋊₂S₃) = C₆.(C₄⋊Q₈)	central stem extension (φ=1)	192		C2^2.82(D4:2S3)	192,216
C₂².₈₃(D₄⋊₂S₃) = (C₂×Dic₃).₉D₄	central stem extension (φ=1)	192		C2^2.83(D4:2S3)	192,217
C₂².₈₄(D₄⋊₂S₃) = (C₂×C₄).₁₇D₁₂	central stem extension (φ=1)	192		C2^2.84(D4:2S3)	192,218
C₂².₈₅(D₄⋊₂S₃) = (C₂×C₄).Dic₆	central stem extension (φ=1)	192		C2^2.85(D4:2S3)	192,219
C₂².₈₆(D₄⋊₂S₃) = (C₂²×C₄).₈₅D₆	central stem extension (φ=1)	192		C2^2.86(D4:2S3)	192,220
C₂².₈₇(D₄⋊₂S₃) = (C₂²×C₄).₃₀D₆	central stem extension (φ=1)	192		C2^2.87(D4:2S3)	192,221
C₂².₈₈(D₄⋊₂S₃) = (C₂²×S₃)⋊Q₈	central stem extension (φ=1)	96		C2^2.88(D4:2S3)	192,232
C₂².₈₉(D₄⋊₂S₃) = (C₂×C₄).₂₁D₁₂	central stem extension (φ=1)	96		C2^2.89(D4:2S3)	192,233
C₂².₉₀(D₄⋊₂S₃) = C₆.(C₄⋊D₄)	central stem extension (φ=1)	96		C2^2.90(D4:2S3)	192,234
C₂².₉₁(D₄⋊₂S₃) = (C₂×C₁₂).₃₃D₄	central stem extension (φ=1)	96		C2^2.91(D4:2S3)	192,236
C₂².₉₂(D₄⋊₂S₃) = C₂³⋊₂Dic₆	central stem extension (φ=1)	96		C2^2.92(D4:2S3)	192,506
C₂².₉₃(D₄⋊₂S₃) = C₂⁴.₁₇D₆	central stem extension (φ=1)	96		C2^2.93(D4:2S3)	192,507
C₂².₉₄(D₄⋊₂S₃) = C₂⁴.₁₈D₆	central stem extension (φ=1)	96		C2^2.94(D4:2S3)	192,508
C₂².₉₅(D₄⋊₂S₃) = C₂⁴.₂₀D₆	central stem extension (φ=1)	96		C2^2.95(D4:2S3)	192,511
C₂².₉₆(D₄⋊₂S₃) = C₂⁴.₂₁D₆	central stem extension (φ=1)	96		C2^2.96(D4:2S3)	192,512
C₂².₉₇(D₄⋊₂S₃) = C₂⁴.₂₅D₆	central stem extension (φ=1)	96		C2^2.97(D4:2S3)	192,518
C₂².₉₈(D₄⋊₂S₃) = C₂⁴.₂₇D₆	central stem extension (φ=1)	96		C2^2.98(D4:2S3)	192,520
C₂².₉₉(D₄⋊₂S₃) = (C₂×C₄).₄₄D₁₂	central stem extension (φ=1)	192		C2^2.99(D4:2S3)	192,540
C₂².₁₀₀(D₄⋊₂S₃) = (C₂×C₁₂).₅₄D₄	central stem extension (φ=1)	192		C2^2.100(D4:2S3)	192,541
C₂².₁₀₁(D₄⋊₂S₃) = (C₂×Dic₃).Q₈	central stem extension (φ=1)	192		C2^2.101(D4:2S3)	192,542
C₂².₁₀₂(D₄⋊₂S₃) = (C₂×C₁₂).₂₈₈D₄	central stem extension (φ=1)	192		C2^2.102(D4:2S3)	192,544
C₂².₁₀₃(D₄⋊₂S₃) = (C₂×C₁₂).₅₅D₄	central stem extension (φ=1)	192		C2^2.103(D4:2S3)	192,545
C₂².₁₀₄(D₄⋊₂S₃) = (C₂×C₁₂).₂₈₉D₄	central stem extension (φ=1)	96		C2^2.104(D4:2S3)	192,551
C₂².₁₀₅(D₄⋊₂S₃) = (C₂×C₁₂).₅₆D₄	central stem extension (φ=1)	96		C2^2.105(D4:2S3)	192,553
C₂².₁₀₆(D₄⋊₂S₃) = C₂⁴.₃₁D₆	central stem extension (φ=1)	96		C2^2.106(D4:2S3)	192,781
C₂².₁₀₇(D₄⋊₂S₃) = C₂⁴.₃₂D₆	central stem extension (φ=1)	96		C2^2.107(D4:2S3)	192,782

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Extensions 1→N→G→Q→1 with N=C22 and Q=D4⋊2S3

Extensions 1→N→G→Q→1 with N=C₂² and Q=D₄⋊₂S₃