Extensions 1→N→G→Q→1 with N=C₄ and Q=C₄○D₁₂

Direct product G=N×Q with N=C₄ and Q=C₄○D₁₂

		d	ρ	Label	ID
C₄×C₄○D₁₂		96		C4xC4oD12	192,1033

Semidirect products G=N:Q with N=C₄ and Q=C₄○D₁₂

extension	φ:Q→Aut N	d	Label	ID
C₄⋊₁(C₄○D₁₂) = Dic₆⋊₂₄D₄	φ: C₄○D₁₂/Dic₆ → C₂ ⊆ Aut C₄	96	C4:1(C4oD12)	192,1112
C₄⋊₂(C₄○D₁₂) = C₄².₂₂₈D₆	φ: C₄○D₁₂/C₄×S₃ → C₂ ⊆ Aut C₄	96	C4:2(C4oD12)	192,1107
C₄⋊₃(C₄○D₁₂) = D₁₂⋊₂₄D₄	φ: C₄○D₁₂/D₁₂ → C₂ ⊆ Aut C₄	96	C4:3(C4oD12)	192,1110
C₄⋊₄(C₄○D₁₂) = C₆.2_-¹⁺⁴	φ: C₄○D₁₂/C₃⋊D₄ → C₂ ⊆ Aut C₄	96	C4:4(C4oD12)	192,1066
C₄⋊₅(C₄○D₁₂) = C₄².₂₇₆D₆	φ: C₄○D₁₂/C₂×C₁₂ → C₂ ⊆ Aut C₄	96	C4:5(C4oD12)	192,1036

Non-split extensions G=N.Q with N=C₄ and Q=C₄○D₁₂

extension	φ:Q→Aut N	d	Label	ID
C₄.₁(C₄○D₁₂) = Dic₆⋊₂D₄	φ: C₄○D₁₂/Dic₆ → C₂ ⊆ Aut C₄	96	C4.1(C4oD12)	192,321
C₄.₂(C₄○D₁₂) = Dic₆.D₄	φ: C₄○D₁₂/Dic₆ → C₂ ⊆ Aut C₄	96	C4.2(C4oD12)	192,326
C₄.₃(C₄○D₁₂) = D₁₂⋊₃D₄	φ: C₄○D₁₂/Dic₆ → C₂ ⊆ Aut C₄	96	C4.3(C4oD12)	192,345
C₄.₄(C₄○D₁₂) = D₁₂.D₄	φ: C₄○D₁₂/Dic₆ → C₂ ⊆ Aut C₄	96	C4.4(C4oD12)	192,346
C₄.₅(C₄○D₁₂) = Dic₃⋊Q₁₆	φ: C₄○D₁₂/Dic₆ → C₂ ⊆ Aut C₄	192	C4.5(C4oD12)	192,354
C₄.₆(C₄○D₁₂) = Dic₆.₁₁D₄	φ: C₄○D₁₂/Dic₆ → C₂ ⊆ Aut C₄	96	C4.6(C4oD12)	192,357
C₄.₇(C₄○D₁₂) = Dic₃⋊SD₁₆	φ: C₄○D₁₂/Dic₆ → C₂ ⊆ Aut C₄	96	C4.7(C4oD12)	192,377
C₄.₈(C₄○D₁₂) = D₁₂.₁₂D₄	φ: C₄○D₁₂/Dic₆ → C₂ ⊆ Aut C₄	96	C4.8(C4oD12)	192,378
C₄.₉(C₄○D₁₂) = C₁₂⋊₇D₈	φ: C₄○D₁₂/Dic₆ → C₂ ⊆ Aut C₄	96	C4.9(C4oD12)	192,574
C₄.₁₀(C₄○D₁₂) = D₄.₁D₁₂	φ: C₄○D₁₂/Dic₆ → C₂ ⊆ Aut C₄	96	C4.10(C4oD12)	192,575
C₄.₁₁(C₄○D₁₂) = D₄.₂D₁₂	φ: C₄○D₁₂/Dic₆ → C₂ ⊆ Aut C₄	96	C4.11(C4oD12)	192,578
C₄.₁₂(C₄○D₁₂) = Q₈⋊₂D₁₂	φ: C₄○D₁₂/Dic₆ → C₂ ⊆ Aut C₄	96	C4.12(C4oD12)	192,586
C₄.₁₃(C₄○D₁₂) = Q₈.₆D₁₂	φ: C₄○D₁₂/Dic₆ → C₂ ⊆ Aut C₄	96	C4.13(C4oD12)	192,587
C₄.₁₄(C₄○D₁₂) = C₁₂⋊₇Q₁₆	φ: C₄○D₁₂/Dic₆ → C₂ ⊆ Aut C₄	192	C4.14(C4oD12)	192,590
C₄.₁₅(C₄○D₁₂) = C₄².₁₀₆D₆	φ: C₄○D₁₂/Dic₆ → C₂ ⊆ Aut C₄	96	C4.15(C4oD12)	192,1101
C₄.₁₆(C₄○D₁₂) = C₄².₁₁₄D₆	φ: C₄○D₁₂/Dic₆ → C₂ ⊆ Aut C₄	96	C4.16(C4oD12)	192,1118
C₄.₁₇(C₄○D₁₂) = Dic₆⋊₁₀Q₈	φ: C₄○D₁₂/Dic₆ → C₂ ⊆ Aut C₄	192	C4.17(C4oD12)	192,1126
C₄.₁₈(C₄○D₁₂) = C₄².₁₂₂D₆	φ: C₄○D₁₂/Dic₆ → C₂ ⊆ Aut C₄	96	C4.18(C4oD12)	192,1127
C₄.₁₉(C₄○D₁₂) = C₄².₁₃₆D₆	φ: C₄○D₁₂/Dic₆ → C₂ ⊆ Aut C₄	96	C4.19(C4oD12)	192,1144
C₄.₂₀(C₄○D₁₂) = Dic₃.SD₁₆	φ: C₄○D₁₂/C₄×S₃ → C₂ ⊆ Aut C₄	96	C4.20(C4oD12)	192,319
C₄.₂₁(C₄○D₁₂) = C₄⋊C₄.D₆	φ: C₄○D₁₂/C₄×S₃ → C₂ ⊆ Aut C₄	96	C4.21(C4oD12)	192,323
C₄.₂₂(C₄○D₁₂) = C₁₂⋊Q₈⋊C₂	φ: C₄○D₁₂/C₄×S₃ → C₂ ⊆ Aut C₄	96	C4.22(C4oD12)	192,324
C₄.₂₃(C₄○D₁₂) = (C₂×C₈).₂₀₀D₆	φ: C₄○D₁₂/C₄×S₃ → C₂ ⊆ Aut C₄	96	C4.23(C4oD12)	192,327
C₄.₂₄(C₄○D₁₂) = D₆⋊D₈	φ: C₄○D₁₂/C₄×S₃ → C₂ ⊆ Aut C₄	96	C4.24(C4oD12)	192,334
C₄.₂₅(C₄○D₁₂) = D₆⋊SD₁₆	φ: C₄○D₁₂/C₄×S₃ → C₂ ⊆ Aut C₄	96	C4.25(C4oD12)	192,337
C₄.₂₆(C₄○D₁₂) = C₃⋊C₈⋊₁D₄	φ: C₄○D₁₂/C₄×S₃ → C₂ ⊆ Aut C₄	96	C4.26(C4oD12)	192,339
C₄.₂₇(C₄○D₁₂) = C₃⋊C₈⋊D₄	φ: C₄○D₁₂/C₄×S₃ → C₂ ⊆ Aut C₄	96	C4.27(C4oD12)	192,341
C₄.₂₈(C₄○D₁₂) = Dic₃.₁Q₁₆	φ: C₄○D₁₂/C₄×S₃ → C₂ ⊆ Aut C₄	192	C4.28(C4oD12)	192,351
C₄.₂₉(C₄○D₁₂) = (C₂×C₈).D₆	φ: C₄○D₁₂/C₄×S₃ → C₂ ⊆ Aut C₄	96	C4.29(C4oD12)	192,353
C₄.₃₀(C₄○D₁₂) = (C₂×Q₈).₃₆D₆	φ: C₄○D₁₂/C₄×S₃ → C₂ ⊆ Aut C₄	192	C4.30(C4oD12)	192,356
C₄.₃₁(C₄○D₁₂) = Q₈⋊C₄⋊S₃	φ: C₄○D₁₂/C₄×S₃ → C₂ ⊆ Aut C₄	96	C4.31(C4oD12)	192,359
C₄.₃₂(C₄○D₁₂) = D₆⋊₂SD₁₆	φ: C₄○D₁₂/C₄×S₃ → C₂ ⊆ Aut C₄	96	C4.32(C4oD12)	192,366
C₄.₃₃(C₄○D₁₂) = C₃⋊(C₈⋊D₄)	φ: C₄○D₁₂/C₄×S₃ → C₂ ⊆ Aut C₄	96	C4.33(C4oD12)	192,371
C₄.₃₄(C₄○D₁₂) = D₆⋊₁Q₁₆	φ: C₄○D₁₂/C₄×S₃ → C₂ ⊆ Aut C₄	96	C4.34(C4oD12)	192,372
C₄.₃₅(C₄○D₁₂) = C₃⋊C₈.D₄	φ: C₄○D₁₂/C₄×S₃ → C₂ ⊆ Aut C₄	96	C4.35(C4oD12)	192,375
C₄.₃₆(C₄○D₁₂) = C₄×D₄⋊S₃	φ: C₄○D₁₂/C₄×S₃ → C₂ ⊆ Aut C₄	96	C4.36(C4oD12)	192,572
C₄.₃₇(C₄○D₁₂) = C₄².₄₈D₆	φ: C₄○D₁₂/C₄×S₃ → C₂ ⊆ Aut C₄	96	C4.37(C4oD12)	192,573
C₄.₃₈(C₄○D₁₂) = C₄×D₄.S₃	φ: C₄○D₁₂/C₄×S₃ → C₂ ⊆ Aut C₄	96	C4.38(C4oD12)	192,576
C₄.₃₉(C₄○D₁₂) = C₄².₅₁D₆	φ: C₄○D₁₂/C₄×S₃ → C₂ ⊆ Aut C₄	96	C4.39(C4oD12)	192,577
C₄.₄₀(C₄○D₁₂) = C₄×Q₈⋊₂S₃	φ: C₄○D₁₂/C₄×S₃ → C₂ ⊆ Aut C₄	96	C4.40(C4oD12)	192,584
C₄.₄₁(C₄○D₁₂) = C₄².₅₆D₆	φ: C₄○D₁₂/C₄×S₃ → C₂ ⊆ Aut C₄	96	C4.41(C4oD12)	192,585
C₄.₄₂(C₄○D₁₂) = C₄×C₃⋊Q₁₆	φ: C₄○D₁₂/C₄×S₃ → C₂ ⊆ Aut C₄	192	C4.42(C4oD12)	192,588
C₄.₄₃(C₄○D₁₂) = C₄².₅₉D₆	φ: C₄○D₁₂/C₄×S₃ → C₂ ⊆ Aut C₄	192	C4.43(C4oD12)	192,589
C₄.₄₄(C₄○D₁₂) = C₄².₂₂₉D₆	φ: C₄○D₁₂/C₄×S₃ → C₂ ⊆ Aut C₄	96	C4.44(C4oD12)	192,1116
C₄.₄₅(C₄○D₁₂) = C₄².₁₁₅D₆	φ: C₄○D₁₂/C₄×S₃ → C₂ ⊆ Aut C₄	96	C4.45(C4oD12)	192,1120
C₄.₄₆(C₄○D₁₂) = C₄².₁₁₆D₆	φ: C₄○D₁₂/C₄×S₃ → C₂ ⊆ Aut C₄	96	C4.46(C4oD12)	192,1121
C₄.₄₇(C₄○D₁₂) = C₄².₂₃₂D₆	φ: C₄○D₁₂/C₄×S₃ → C₂ ⊆ Aut C₄	96	C4.47(C4oD12)	192,1137
C₄.₄₈(C₄○D₁₂) = C₄².₁₃₁D₆	φ: C₄○D₁₂/C₄×S₃ → C₂ ⊆ Aut C₄	96	C4.48(C4oD12)	192,1139
C₄.₄₉(C₄○D₁₂) = C₄².₁₃₃D₆	φ: C₄○D₁₂/C₄×S₃ → C₂ ⊆ Aut C₄	96	C4.49(C4oD12)	192,1141
C₄.₅₀(C₄○D₁₂) = C₄².₁₃₄D₆	φ: C₄○D₁₂/C₄×S₃ → C₂ ⊆ Aut C₄	96	C4.50(C4oD12)	192,1142
C₄.₅₁(C₄○D₁₂) = D₆.D₈	φ: C₄○D₁₂/D₁₂ → C₂ ⊆ Aut C₄	96	C4.51(C4oD12)	192,333
C₄.₅₂(C₄○D₁₂) = D₆.SD₁₆	φ: C₄○D₁₂/D₁₂ → C₂ ⊆ Aut C₄	96	C4.52(C4oD12)	192,336
C₄.₅₃(C₄○D₁₂) = D₆⋊C₈⋊₁₁C₂	φ: C₄○D₁₂/D₁₂ → C₂ ⊆ Aut C₄	96	C4.53(C4oD12)	192,338
C₄.₅₄(C₄○D₁₂) = C₂₄⋊₁C₄⋊C₂	φ: C₄○D₁₂/D₁₂ → C₂ ⊆ Aut C₄	96	C4.54(C4oD12)	192,343
C₄.₅₅(C₄○D₁₂) = D₆.₁SD₁₆	φ: C₄○D₁₂/D₁₂ → C₂ ⊆ Aut C₄	96	C4.55(C4oD12)	192,364
C₄.₅₆(C₄○D₁₂) = D₆.Q₁₆	φ: C₄○D₁₂/D₁₂ → C₂ ⊆ Aut C₄	96	C4.56(C4oD12)	192,370
C₄.₅₇(C₄○D₁₂) = D₆⋊C₈.C₂	φ: C₄○D₁₂/D₁₂ → C₂ ⊆ Aut C₄	96	C4.57(C4oD12)	192,373
C₄.₅₈(C₄○D₁₂) = C₈⋊Dic₃⋊C₂	φ: C₄○D₁₂/D₁₂ → C₂ ⊆ Aut C₄	96	C4.58(C4oD12)	192,374
C₄.₅₉(C₄○D₁₂) = C₁₂.₅₀D₈	φ: C₄○D₁₂/D₁₂ → C₂ ⊆ Aut C₄	96	C4.59(C4oD12)	192,566
C₄.₆₀(C₄○D₁₂) = C₁₂.₃₈SD₁₆	φ: C₄○D₁₂/D₁₂ → C₂ ⊆ Aut C₄	96	C4.60(C4oD12)	192,567
C₄.₆₁(C₄○D₁₂) = D₄.₃Dic₆	φ: C₄○D₁₂/D₁₂ → C₂ ⊆ Aut C₄	96	C4.61(C4oD12)	192,568
C₄.₆₂(C₄○D₁₂) = Q₈⋊₄Dic₆	φ: C₄○D₁₂/D₁₂ → C₂ ⊆ Aut C₄	192	C4.62(C4oD12)	192,579
C₄.₆₃(C₄○D₁₂) = Q₈⋊₅Dic₆	φ: C₄○D₁₂/D₁₂ → C₂ ⊆ Aut C₄	192	C4.63(C4oD12)	192,580
C₄.₆₄(C₄○D₁₂) = Q₈.₅Dic₆	φ: C₄○D₁₂/D₁₂ → C₂ ⊆ Aut C₄	192	C4.64(C4oD12)	192,581
C₄.₆₅(C₄○D₁₂) = C₄².₁₁₃D₆	φ: C₄○D₁₂/D₁₂ → C₂ ⊆ Aut C₄	96	C4.65(C4oD12)	192,1117
C₄.₆₆(C₄○D₁₂) = C₄².₁₁₇D₆	φ: C₄○D₁₂/D₁₂ → C₂ ⊆ Aut C₄	96	C4.66(C4oD12)	192,1122
C₄.₆₇(C₄○D₁₂) = D₁₂⋊₁₀Q₈	φ: C₄○D₁₂/D₁₂ → C₂ ⊆ Aut C₄	96	C4.67(C4oD12)	192,1138
C₄.₆₈(C₄○D₁₂) = C₄².₁₃₂D₆	φ: C₄○D₁₂/D₁₂ → C₂ ⊆ Aut C₄	96	C4.68(C4oD12)	192,1140
C₄.₆₉(C₄○D₁₂) = C₄².₁₃₅D₆	φ: C₄○D₁₂/D₁₂ → C₂ ⊆ Aut C₄	96	C4.69(C4oD12)	192,1143
C₄.₇₀(C₄○D₁₂) = Dic₆⋊Q₈	φ: C₄○D₁₂/C₃⋊D₄ → C₂ ⊆ Aut C₄	192	C4.70(C4oD12)	192,413
C₄.₇₁(C₄○D₁₂) = Dic₆.Q₈	φ: C₄○D₁₂/C₃⋊D₄ → C₂ ⊆ Aut C₄	192	C4.71(C4oD12)	192,416
C₄.₇₂(C₄○D₁₂) = D₆.₂SD₁₆	φ: C₄○D₁₂/C₃⋊D₄ → C₂ ⊆ Aut C₄	96	C4.72(C4oD12)	192,421
C₄.₇₃(C₄○D₁₂) = D₆.₄SD₁₆	φ: C₄○D₁₂/C₃⋊D₄ → C₂ ⊆ Aut C₄	96	C4.73(C4oD12)	192,422
C₄.₇₄(C₄○D₁₂) = C₄.Q₈⋊S₃	φ: C₄○D₁₂/C₃⋊D₄ → C₂ ⊆ Aut C₄	96	C4.74(C4oD12)	192,425
C₄.₇₅(C₄○D₁₂) = C₆.(C₄○D₈)	φ: C₄○D₁₂/C₃⋊D₄ → C₂ ⊆ Aut C₄	96	C4.75(C4oD12)	192,427
C₄.₇₆(C₄○D₁₂) = D₁₂⋊Q₈	φ: C₄○D₁₂/C₃⋊D₄ → C₂ ⊆ Aut C₄	96	C4.76(C4oD12)	192,429
C₄.₇₇(C₄○D₁₂) = D₁₂.Q₈	φ: C₄○D₁₂/C₃⋊D₄ → C₂ ⊆ Aut C₄	96	C4.77(C4oD12)	192,430
C₄.₇₈(C₄○D₁₂) = Dic₃.Q₁₆	φ: C₄○D₁₂/C₃⋊D₄ → C₂ ⊆ Aut C₄	192	C4.78(C4oD12)	192,434
C₄.₇₉(C₄○D₁₂) = Dic₆.₂Q₈	φ: C₄○D₁₂/C₃⋊D₄ → C₂ ⊆ Aut C₄	192	C4.79(C4oD12)	192,436
C₄.₈₀(C₄○D₁₂) = D₆.₅D₈	φ: C₄○D₁₂/C₃⋊D₄ → C₂ ⊆ Aut C₄	96	C4.80(C4oD12)	192,441
C₄.₈₁(C₄○D₁₂) = D₆.₂Q₁₆	φ: C₄○D₁₂/C₃⋊D₄ → C₂ ⊆ Aut C₄	96	C4.81(C4oD12)	192,443
C₄.₈₂(C₄○D₁₂) = C₂.D₈⋊S₃	φ: C₄○D₁₂/C₃⋊D₄ → C₂ ⊆ Aut C₄	96	C4.82(C4oD12)	192,444
C₄.₈₃(C₄○D₁₂) = C₂.D₈⋊₇S₃	φ: C₄○D₁₂/C₃⋊D₄ → C₂ ⊆ Aut C₄	96	C4.83(C4oD12)	192,447
C₄.₈₄(C₄○D₁₂) = D₁₂⋊₂Q₈	φ: C₄○D₁₂/C₃⋊D₄ → C₂ ⊆ Aut C₄	96	C4.84(C4oD12)	192,449
C₄.₈₅(C₄○D₁₂) = D₁₂.₂Q₈	φ: C₄○D₁₂/C₃⋊D₄ → C₂ ⊆ Aut C₄	96	C4.85(C4oD12)	192,450
C₄.₈₆(C₄○D₁₂) = (C₂×C₆).₄₀D₈	φ: C₄○D₁₂/C₃⋊D₄ → C₂ ⊆ Aut C₄	96	C4.86(C4oD12)	192,526
C₄.₈₇(C₄○D₁₂) = C₄⋊C₄.₂₂₈D₆	φ: C₄○D₁₂/C₃⋊D₄ → C₂ ⊆ Aut C₄	96	C4.87(C4oD12)	192,527
C₄.₈₈(C₄○D₁₂) = C₄⋊C₄.₂₃₀D₆	φ: C₄○D₁₂/C₃⋊D₄ → C₂ ⊆ Aut C₄	96	C4.88(C4oD12)	192,529
C₄.₈₉(C₄○D₁₂) = C₄⋊C₄.₂₃₁D₆	φ: C₄○D₁₂/C₃⋊D₄ → C₂ ⊆ Aut C₄	96	C4.89(C4oD12)	192,530
C₄.₉₀(C₄○D₁₂) = C₄⋊C₄.₂₃₃D₆	φ: C₄○D₁₂/C₃⋊D₄ → C₂ ⊆ Aut C₄	96	C4.90(C4oD12)	192,555
C₄.₉₁(C₄○D₁₂) = C₄⋊C₄.₂₃₆D₆	φ: C₄○D₁₂/C₃⋊D₄ → C₂ ⊆ Aut C₄	96	C4.91(C4oD12)	192,562
C₄.₉₂(C₄○D₁₂) = C₆.₁₀2₊¹⁺⁴	φ: C₄○D₁₂/C₃⋊D₄ → C₂ ⊆ Aut C₄	96	C4.92(C4oD12)	192,1070
C₄.₉₃(C₄○D₁₂) = C₆.₅2_-¹⁺⁴	φ: C₄○D₁₂/C₃⋊D₄ → C₂ ⊆ Aut C₄	96	C4.93(C4oD12)	192,1072
C₄.₉₄(C₄○D₁₂) = C₆.₁₁2₊¹⁺⁴	φ: C₄○D₁₂/C₃⋊D₄ → C₂ ⊆ Aut C₄	96	C4.94(C4oD12)	192,1073
C₄.₉₅(C₄○D₁₂) = C₄².₉₄D₆	φ: C₄○D₁₂/C₃⋊D₄ → C₂ ⊆ Aut C₄	96	C4.95(C4oD12)	192,1088
C₄.₉₆(C₄○D₁₂) = C₄².₉₅D₆	φ: C₄○D₁₂/C₃⋊D₄ → C₂ ⊆ Aut C₄	96	C4.96(C4oD12)	192,1089
C₄.₉₇(C₄○D₁₂) = C₄².₉₇D₆	φ: C₄○D₁₂/C₃⋊D₄ → C₂ ⊆ Aut C₄	96	C4.97(C4oD12)	192,1091
C₄.₉₈(C₄○D₁₂) = C₄².₉₈D₆	φ: C₄○D₁₂/C₃⋊D₄ → C₂ ⊆ Aut C₄	96	C4.98(C4oD12)	192,1092
C₄.₉₉(C₄○D₁₂) = C₁₂.₁₄Q₁₆	φ: C₄○D₁₂/C₂×C₁₂ → C₂ ⊆ Aut C₄	192	C4.99(C4oD12)	192,240
C₄.₁₀₀(C₄○D₁₂) = C₄×C₂₄⋊C₂	φ: C₄○D₁₂/C₂×C₁₂ → C₂ ⊆ Aut C₄	96	C4.100(C4oD12)	192,250
C₄.₁₀₁(C₄○D₁₂) = C₄×D₂₄	φ: C₄○D₁₂/C₂×C₁₂ → C₂ ⊆ Aut C₄	96	C4.101(C4oD12)	192,251
C₄.₁₀₂(C₄○D₁₂) = C₄.₅D₂₄	φ: C₄○D₁₂/C₂×C₁₂ → C₂ ⊆ Aut C₄	96	C4.102(C4oD12)	192,253
C₄.₁₀₃(C₄○D₁₂) = C₄².₂₆₄D₆	φ: C₄○D₁₂/C₂×C₁₂ → C₂ ⊆ Aut C₄	96	C4.103(C4oD12)	192,256
C₄.₁₀₄(C₄○D₁₂) = C₄×Dic₁₂	φ: C₄○D₁₂/C₂×C₁₂ → C₂ ⊆ Aut C₄	192	C4.104(C4oD12)	192,257
C₄.₁₀₅(C₄○D₁₂) = C₄².₁₄D₆	φ: C₄○D₁₂/C₂×C₁₂ → C₂ ⊆ Aut C₄	192	C4.105(C4oD12)	192,262
C₄.₁₀₆(C₄○D₁₂) = C₄².₁₆D₆	φ: C₄○D₁₂/C₂×C₁₂ → C₂ ⊆ Aut C₄	96	C4.106(C4oD12)	192,269
C₄.₁₀₇(C₄○D₁₂) = D₂₄⋊C₄	φ: C₄○D₁₂/C₂×C₁₂ → C₂ ⊆ Aut C₄	96	C4.107(C4oD12)	192,270
C₄.₁₀₈(C₄○D₁₂) = C₄².₁₉D₆	φ: C₄○D₁₂/C₂×C₁₂ → C₂ ⊆ Aut C₄	96	C4.108(C4oD12)	192,272
C₄.₁₀₉(C₄○D₁₂) = C₄².₂₀D₆	φ: C₄○D₁₂/C₂×C₁₂ → C₂ ⊆ Aut C₄	96	C4.109(C4oD12)	192,273
C₄.₁₁₀(C₄○D₁₂) = Dic₁₂⋊C₄	φ: C₄○D₁₂/C₂×C₁₂ → C₂ ⊆ Aut C₄	192	C4.110(C4oD12)	192,275
C₄.₁₁₁(C₄○D₁₂) = C₂₄⋊₃₀D₄	φ: C₄○D₁₂/C₂×C₁₂ → C₂ ⊆ Aut C₄	96	C4.111(C4oD12)	192,673
C₄.₁₁₂(C₄○D₁₂) = C₂₄⋊₂₉D₄	φ: C₄○D₁₂/C₂×C₁₂ → C₂ ⊆ Aut C₄	96	C4.112(C4oD12)	192,674
C₄.₁₁₃(C₄○D₁₂) = C₂₄.₈₂D₄	φ: C₄○D₁₂/C₂×C₁₂ → C₂ ⊆ Aut C₄	96	C4.113(C4oD12)	192,675
C₄.₁₁₄(C₄○D₁₂) = C₂₄⋊₂D₄	φ: C₄○D₁₂/C₂×C₁₂ → C₂ ⊆ Aut C₄	96	C4.114(C4oD12)	192,693
C₄.₁₁₅(C₄○D₁₂) = C₂₄⋊₃D₄	φ: C₄○D₁₂/C₂×C₁₂ → C₂ ⊆ Aut C₄	96	C4.115(C4oD12)	192,694
C₄.₁₁₆(C₄○D₁₂) = C₂₄.₄D₄	φ: C₄○D₁₂/C₂×C₁₂ → C₂ ⊆ Aut C₄	96	C4.116(C4oD12)	192,696
C₄.₁₁₇(C₄○D₁₂) = C₄².₂₇₄D₆	φ: C₄○D₁₂/C₂×C₁₂ → C₂ ⊆ Aut C₄	96	C4.117(C4oD12)	192,1029
C₄.₁₁₈(C₄○D₁₂) = C₄².₂₇₇D₆	φ: C₄○D₁₂/C₂×C₁₂ → C₂ ⊆ Aut C₄	96	C4.118(C4oD12)	192,1038
C₄.₁₁₉(C₄○D₁₂) = C₄².₈₉D₆	φ: C₄○D₁₂/C₂×C₁₂ → C₂ ⊆ Aut C₄	96	C4.119(C4oD12)	192,1077
C₄.₁₂₀(C₄○D₁₂) = C₄².₉₉D₆	φ: C₄○D₁₂/C₂×C₁₂ → C₂ ⊆ Aut C₄	96	C4.120(C4oD12)	192,1093
C₄.₁₂₁(C₄○D₁₂) = C₄².₁₀₀D₆	φ: C₄○D₁₂/C₂×C₁₂ → C₂ ⊆ Aut C₄	96	C4.121(C4oD12)	192,1094
C₄.₁₂₂(C₄○D₁₂) = C₈×Dic₆	central extension (φ=1)	192	C4.122(C4oD12)	192,237
C₄.₁₂₃(C₄○D₁₂) = C₂₄⋊₁₂Q₈	central extension (φ=1)	192	C4.123(C4oD12)	192,238
C₄.₁₂₄(C₄○D₁₂) = C₄².₂₈₂D₆	central extension (φ=1)	96	C4.124(C4oD12)	192,244
C₄.₁₂₅(C₄○D₁₂) = C₈×D₁₂	central extension (φ=1)	96	C4.125(C4oD12)	192,245
C₄.₁₂₆(C₄○D₁₂) = C₈⋊₆D₁₂	central extension (φ=1)	96	C4.126(C4oD12)	192,247
C₄.₁₂₇(C₄○D₁₂) = C₄².₂₄₃D₆	central extension (φ=1)	96	C4.127(C4oD12)	192,249
C₄.₁₂₈(C₄○D₁₂) = C₂₄⋊Q₈	central extension (φ=1)	192	C4.128(C4oD12)	192,260
C₄.₁₂₉(C₄○D₁₂) = C₄².₁₈₂D₆	central extension (φ=1)	96	C4.129(C4oD12)	192,264
C₄.₁₃₀(C₄○D₁₂) = C₈⋊₉D₁₂	central extension (φ=1)	96	C4.130(C4oD12)	192,265
C₄.₁₃₁(C₄○D₁₂) = C₄².₁₈₅D₆	central extension (φ=1)	96	C4.131(C4oD12)	192,268
C₄.₁₃₂(C₄○D₁₂) = C₄².₂₈₅D₆	central extension (φ=1)	96	C4.132(C4oD12)	192,484
C₄.₁₃₃(C₄○D₁₂) = C₄².₂₇₀D₆	central extension (φ=1)	96	C4.133(C4oD12)	192,485
C₄.₁₃₄(C₄○D₁₂) = C₄².₁₈₇D₆	central extension (φ=1)	96	C4.134(C4oD12)	192,559
C₄.₁₃₅(C₄○D₁₂) = C₈×C₃⋊D₄	central extension (φ=1)	96	C4.135(C4oD12)	192,668
C₄.₁₃₆(C₄○D₁₂) = C₂₄⋊₃₃D₄	central extension (φ=1)	96	C4.136(C4oD12)	192,670
C₄.₁₃₇(C₄○D₁₂) = C₂₄⋊D₄	central extension (φ=1)	96	C4.137(C4oD12)	192,686
C₄.₁₃₈(C₄○D₁₂) = C₂₄⋊₂₁D₄	central extension (φ=1)	96	C4.138(C4oD12)	192,687
C₄.₁₃₉(C₄○D₁₂) = C₄².₉₃D₆	central extension (φ=1)	96	C4.139(C4oD12)	192,1087

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C4 and Q=C4○D12

Extensions 1→N→G→Q→1 with N=C₄ and Q=C₄○D₁₂