Extensions 1→N→G→Q→1 with N=C₂xHe₃ and Q=C₂xC₄

Direct product G=NxQ with N=C₂xHe₃ and Q=C₂xC₄

		d	ρ	Label	ID
C₂²xC₄xHe₃		144		C2^2xC4xHe3	432,401

Semidirect products G=N:Q with N=C₂xHe₃ and Q=C₂xC₄

extension	φ:Q→Out N	d	Label	ID
(C₂xHe₃):₁(C₂xC₄) = C₂²xHe₃:C₄	φ: C₂xC₄/C₂ → C₄ ⊆ Out C₂xHe₃	72	(C2xHe3):1(C2xC4)	432,543
(C₂xHe₃):₂(C₂xC₄) = C₂xC₆.S₃²	φ: C₂xC₄/C₂ → C₂² ⊆ Out C₂xHe₃	72	(C2xHe3):2(C2xC4)	432,317
(C₂xHe₃):₃(C₂xC₄) = C₂xHe₃:(C₂xC₄)	φ: C₂xC₄/C₂ → C₂² ⊆ Out C₂xHe₃	72	(C2xHe3):3(C2xC4)	432,321
(C₂xHe₃):₄(C₂xC₄) = C₂xC₄xC₃²:C₆	φ: C₂xC₄/C₄ → C₂ ⊆ Out C₂xHe₃	72	(C2xHe3):4(C2xC4)	432,349
(C₂xHe₃):₅(C₂xC₄) = C₂xC₄xHe₃:C₂	φ: C₂xC₄/C₄ → C₂ ⊆ Out C₂xHe₃	72	(C2xHe3):5(C2xC4)	432,385
(C₂xHe₃):₆(C₂xC₄) = C₂²xC₃²:C₁₂	φ: C₂xC₄/C₂² → C₂ ⊆ Out C₂xHe₃	144	(C2xHe3):6(C2xC4)	432,376
(C₂xHe₃):₇(C₂xC₄) = C₂²xHe₃:₃C₄	φ: C₂xC₄/C₂² → C₂ ⊆ Out C₂xHe₃	144	(C2xHe3):7(C2xC4)	432,398

Non-split extensions G=N.Q with N=C₂xHe₃ and Q=C₂xC₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xHe₃).₁(C₂xC₄) = He₃:₂(C₂xC₈)	φ: C₂xC₄/C₂ → C₄ ⊆ Out C₂xHe₃	72	3	(C2xHe3).1(C2xC4)	432,273
(C₂xHe₃).₂(C₂xC₄) = He₃:₁M₄(2)	φ: C₂xC₄/C₂ → C₄ ⊆ Out C₂xHe₃	72	6	(C2xHe3).2(C2xC4)	432,274
(C₂xHe₃).₃(C₂xC₄) = C₄xHe₃:C₄	φ: C₂xC₄/C₂ → C₄ ⊆ Out C₂xHe₃	72	3	(C2xHe3).3(C2xC4)	432,275
(C₂xHe₃).₄(C₂xC₄) = C₄:(He₃:C₄)	φ: C₂xC₄/C₂ → C₄ ⊆ Out C₂xHe₃	72	6	(C2xHe3).4(C2xC4)	432,276
(C₂xHe₃).₅(C₂xC₄) = C₂xHe₃:₂C₈	φ: C₂xC₄/C₂ → C₄ ⊆ Out C₂xHe₃	144		(C2xHe3).5(C2xC4)	432,277
(C₂xHe₃).₆(C₂xC₄) = He₃:₄M₄(2)	φ: C₂xC₄/C₂ → C₄ ⊆ Out C₂xHe₃	72	6	(C2xHe3).6(C2xC4)	432,278
(C₂xHe₃).₇(C₂xC₄) = C₂²:(He₃:C₄)	φ: C₂xC₄/C₂ → C₄ ⊆ Out C₂xHe₃	36	6	(C2xHe3).7(C2xC4)	432,279
(C₂xHe₃).₈(C₂xC₄) = C₃²:C₆:C₈	φ: C₂xC₄/C₂ → C₂² ⊆ Out C₂xHe₃	72	6	(C2xHe3).8(C2xC4)	432,76
(C₂xHe₃).₉(C₂xC₄) = He₃:M₄(2)	φ: C₂xC₄/C₂ → C₂² ⊆ Out C₂xHe₃	72	6	(C2xHe3).9(C2xC4)	432,77
(C₂xHe₃).₁₀(C₂xC₄) = C₁₂.₈₉S₃²	φ: C₂xC₄/C₂ → C₂² ⊆ Out C₂xHe₃	72	6	(C2xHe3).10(C2xC4)	432,81
(C₂xHe₃).₁₁(C₂xC₄) = He₃:₃M₄(2)	φ: C₂xC₄/C₂ → C₂² ⊆ Out C₂xHe₃	72	6	(C2xHe3).11(C2xC4)	432,82
(C₂xHe₃).₁₂(C₂xC₄) = He₃:C₄²	φ: C₂xC₄/C₂ → C₂² ⊆ Out C₂xHe₃	144		(C2xHe3).12(C2xC4)	432,94
(C₂xHe₃).₁₃(C₂xC₄) = C₆².D₆	φ: C₂xC₄/C₂ → C₂² ⊆ Out C₂xHe₃	144		(C2xHe3).13(C2xC4)	432,95
(C₂xHe₃).₁₄(C₂xC₄) = C₆².₃D₆	φ: C₂xC₄/C₂ → C₂² ⊆ Out C₂xHe₃	144		(C2xHe3).14(C2xC4)	432,96
(C₂xHe₃).₁₅(C₂xC₄) = C₆².₄D₆	φ: C₂xC₄/C₂ → C₂² ⊆ Out C₂xHe₃	72		(C2xHe3).15(C2xC4)	432,97
(C₂xHe₃).₁₆(C₂xC₄) = C₆².₅D₆	φ: C₂xC₄/C₂ → C₂² ⊆ Out C₂xHe₃	72		(C2xHe3).16(C2xC4)	432,98
(C₂xHe₃).₁₇(C₂xC₄) = C₈xC₃²:C₆	φ: C₂xC₄/C₄ → C₂ ⊆ Out C₂xHe₃	72	6	(C2xHe3).17(C2xC4)	432,115
(C₂xHe₃).₁₈(C₂xC₄) = He₃:₅M₄(2)	φ: C₂xC₄/C₄ → C₂ ⊆ Out C₂xHe₃	72	6	(C2xHe3).18(C2xC4)	432,116
(C₂xHe₃).₁₉(C₂xC₄) = C₆².₁₉D₆	φ: C₂xC₄/C₄ → C₂ ⊆ Out C₂xHe₃	144		(C2xHe3).19(C2xC4)	432,139
(C₂xHe₃).₂₀(C₂xC₄) = C₆².₂₁D₆	φ: C₂xC₄/C₄ → C₂ ⊆ Out C₂xHe₃	72		(C2xHe3).20(C2xC4)	432,141
(C₂xHe₃).₂₁(C₂xC₄) = C₈xHe₃:C₂	φ: C₂xC₄/C₄ → C₂ ⊆ Out C₂xHe₃	72	3	(C2xHe3).21(C2xC4)	432,173
(C₂xHe₃).₂₂(C₂xC₄) = He₃:₆M₄(2)	φ: C₂xC₄/C₄ → C₂ ⊆ Out C₂xHe₃	72	6	(C2xHe3).22(C2xC4)	432,174
(C₂xHe₃).₂₃(C₂xC₄) = C₄xHe₃:₃C₄	φ: C₂xC₄/C₄ → C₂ ⊆ Out C₂xHe₃	144		(C2xHe3).23(C2xC4)	432,186
(C₂xHe₃).₂₄(C₂xC₄) = C₆².₂₉D₆	φ: C₂xC₄/C₄ → C₂ ⊆ Out C₂xHe₃	144		(C2xHe3).24(C2xC4)	432,187
(C₂xHe₃).₂₅(C₂xC₄) = C₆².₃₁D₆	φ: C₂xC₄/C₄ → C₂ ⊆ Out C₂xHe₃	72		(C2xHe3).25(C2xC4)	432,189
(C₂xHe₃).₂₆(C₂xC₄) = C₂xHe₃:₃C₈	φ: C₂xC₄/C₂² → C₂ ⊆ Out C₂xHe₃	144		(C2xHe3).26(C2xC4)	432,136
(C₂xHe₃).₂₇(C₂xC₄) = He₃:₇M₄(2)	φ: C₂xC₄/C₂² → C₂ ⊆ Out C₂xHe₃	72	6	(C2xHe3).27(C2xC4)	432,137
(C₂xHe₃).₂₈(C₂xC₄) = C₄xC₃²:C₁₂	φ: C₂xC₄/C₂² → C₂ ⊆ Out C₂xHe₃	144		(C2xHe3).28(C2xC4)	432,138
(C₂xHe₃).₂₉(C₂xC₄) = C₆².₂₀D₆	φ: C₂xC₄/C₂² → C₂ ⊆ Out C₂xHe₃	144		(C2xHe3).29(C2xC4)	432,140
(C₂xHe₃).₃₀(C₂xC₄) = C₆²:₃C₁₂	φ: C₂xC₄/C₂² → C₂ ⊆ Out C₂xHe₃	72		(C2xHe3).30(C2xC4)	432,166
(C₂xHe₃).₃₁(C₂xC₄) = C₂xHe₃:₄C₈	φ: C₂xC₄/C₂² → C₂ ⊆ Out C₂xHe₃	144		(C2xHe3).31(C2xC4)	432,184
(C₂xHe₃).₃₂(C₂xC₄) = He₃:₈M₄(2)	φ: C₂xC₄/C₂² → C₂ ⊆ Out C₂xHe₃	72	6	(C2xHe3).32(C2xC4)	432,185
(C₂xHe₃).₃₃(C₂xC₄) = C₆².₃₀D₆	φ: C₂xC₄/C₂² → C₂ ⊆ Out C₂xHe₃	144		(C2xHe3).33(C2xC4)	432,188
(C₂xHe₃).₃₄(C₂xC₄) = C₆²:₄Dic₃	φ: C₂xC₄/C₂² → C₂ ⊆ Out C₂xHe₃	72		(C2xHe3).34(C2xC4)	432,199
(C₂xHe₃).₃₅(C₂xC₄) = C₄²xHe₃	φ: trivial image	144		(C2xHe3).35(C2xC4)	432,201
(C₂xHe₃).₃₆(C₂xC₄) = C₂²:C₄xHe₃	φ: trivial image	72		(C2xHe3).36(C2xC4)	432,204
(C₂xHe₃).₃₇(C₂xC₄) = C₄:C₄xHe₃	φ: trivial image	144		(C2xHe3).37(C2xC4)	432,207
(C₂xHe₃).₃₈(C₂xC₄) = C₂xC₈xHe₃	φ: trivial image	144		(C2xHe3).38(C2xC4)	432,210
(C₂xHe₃).₃₉(C₂xC₄) = M₄(2)xHe₃	φ: trivial image	72	6	(C2xHe3).39(C2xC4)	432,213

Extensions 1→N→G→Q→1 with N=C2xHe3 and Q=C2xC4

Extensions 1→N→G→Q→1 with N=C₂xHe₃ and Q=C₂xC₄