Extensions 1→N→G→Q→1 with N=C₂×Dic₁₃ and Q=C₂²

Direct product G=N×Q with N=C₂×Dic₁₃ and Q=C₂²

		d	ρ	Label	ID
C₂³×Dic₁₃		416		C2^3xDic13	416,225

Semidirect products G=N:Q with N=C₂×Dic₁₃ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₁₃)⋊₁C₂² = C₂²⋊D₅₂	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₁₃	104		(C2xDic13):1C2^2	416,103
(C₂×Dic₁₃)⋊₂C₂² = C₂³⋊D₂₆	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₁₃	104		(C2xDic13):2C2^2	416,158
(C₂×Dic₁₃)⋊₃C₂² = C₂⁴⋊D₁₃	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₁₃	104		(C2xDic13):3C2^2	416,174
(C₂×Dic₁₃)⋊₄C₂² = D₄⋊₆D₂₆	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₁₃	104	4	(C2xDic13):4C2^2	416,218
(C₂×Dic₁₃)⋊₅C₂² = C₂²⋊C₄×D₁₃	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₁₃	104		(C2xDic13):5C2^2	416,101
(C₂×Dic₁₃)⋊₆C₂² = C₂×D₂₆⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₁₃	208		(C2xDic13):6C2^2	416,148
(C₂×Dic₁₃)⋊₇C₂² = C₂×C₂³.D₁₃	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₁₃	208		(C2xDic13):7C2^2	416,173
(C₂×Dic₁₃)⋊₈C₂² = C₂×D₄×D₁₃	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₁₃	104		(C2xDic13):8C2^2	416,216
(C₂×Dic₁₃)⋊₉C₂² = C₂×D₄⋊₂D₁₃	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₁₃	208		(C2xDic13):9C2^2	416,217
(C₂×Dic₁₃)⋊₁₀C₂² = C₄○D₄×D₁₃	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₁₃	104	4	(C2xDic13):10C2^2	416,222
(C₂×Dic₁₃)⋊₁₁C₂² = C₂²×C₁₃⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₁₃	208		(C2xDic13):11C2^2	416,226
(C₂×Dic₁₃)⋊₁₂C₂² = C₂²×C₄×D₁₃	φ: trivial image	208		(C2xDic13):12C2^2	416,213

Non-split extensions G=N.Q with N=C₂×Dic₁₃ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₁₃).₁C₂² = C₅₂⋊₂Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₁₃	416		(C2xDic13).1C2^2	416,90
(C₂×Dic₁₃).₂C₂² = C₅₂.₆Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₁₃	416		(C2xDic13).2C2^2	416,91
(C₂×Dic₁₃).₃C₂² = C₄.D₅₂	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₁₃	208		(C2xDic13).3C2^2	416,96
(C₂×Dic₁₃).₄C₂² = C₄²⋊₂D₁₃	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₁₃	208		(C2xDic13).4C2^2	416,97
(C₂×Dic₁₃).₅C₂² = C₂²⋊Dic₂₆	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₁₃	208		(C2xDic13).5C2^2	416,99
(C₂×Dic₁₃).₆C₂² = D₂₆.₁₂D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₁₃	208		(C2xDic13).6C2^2	416,104
(C₂×Dic₁₃).₇C₂² = D₂₆⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₁₃	208		(C2xDic13).7C2^2	416,105
(C₂×Dic₁₃).₈C₂² = C₅₂⋊Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₁₃	416		(C2xDic13).8C2^2	416,109
(C₂×Dic₁₃).₉C₂² = Dic₁₃.Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₁₃	416		(C2xDic13).9C2^2	416,110
(C₂×Dic₁₃).₁₀C₂² = C₄.Dic₂₆	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₁₃	416		(C2xDic13).10C2^2	416,111
(C₂×Dic₁₃).₁₁C₂² = D₂₆.₁₃D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₁₃	208		(C2xDic13).11C2^2	416,115
(C₂×Dic₁₃).₁₂C₂² = D₂₆⋊Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₁₃	208		(C2xDic13).12C2^2	416,117
(C₂×Dic₁₃).₁₃C₂² = D₂₆⋊₂Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₁₃	208		(C2xDic13).13C2^2	416,118
(C₂×Dic₁₃).₁₄C₂² = C₅₂.₄₈D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₁₃	208		(C2xDic13).14C2^2	416,145
(C₂×Dic₁₃).₁₅C₂² = C₂³.₂₃D₂₆	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₁₃	208		(C2xDic13).15C2^2	416,150
(C₂×Dic₁₃).₁₆C₂² = C₅₂⋊₇D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₁₃	208		(C2xDic13).16C2^2	416,151
(C₂×Dic₁₃).₁₇C₂² = C₂³.₁₈D₂₆	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₁₃	208		(C2xDic13).17C2^2	416,156
(C₂×Dic₁₃).₁₈C₂² = C₅₂.₁₇D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₁₃	208		(C2xDic13).18C2^2	416,157
(C₂×Dic₁₃).₁₉C₂² = C₅₂⋊₂D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₁₃	208		(C2xDic13).19C2^2	416,159
(C₂×Dic₁₃).₂₀C₂² = Dic₁₃⋊Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₁₃	416		(C2xDic13).20C2^2	416,165
(C₂×Dic₁₃).₂₁C₂² = D₂₆⋊₃Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₁₃	208		(C2xDic13).21C2^2	416,167
(C₂×Dic₁₃).₂₂C₂² = D₄.₁₀D₂₆	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₁₃	208	4-	(C2xDic13).22C2^2	416,224
(C₂×Dic₁₃).₂₃C₂² = Dic₁₃.D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₁₃	208	4-	(C2xDic13).23C2^2	416,80
(C₂×Dic₁₃).₂₄C₂² = Dic₁₃.₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₁₃	104	4	(C2xDic13).24C2^2	416,88
(C₂×Dic₁₃).₂₅C₂² = Dic₂₆.C₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×Dic₁₃	208	8-	(C2xDic13).25C2^2	416,205
(C₂×Dic₁₃).₂₆C₂² = C₄×Dic₂₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₁₃	416		(C2xDic13).26C2^2	416,89
(C₂×Dic₁₃).₂₇C₂² = C₄²⋊D₁₃	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₁₃	208		(C2xDic13).27C2^2	416,93
(C₂×Dic₁₃).₂₈C₂² = C₄×D₅₂	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₁₃	208		(C2xDic13).28C2^2	416,94
(C₂×Dic₁₃).₂₉C₂² = C₂³.D₂₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₁₃	208		(C2xDic13).29C2^2	416,100
(C₂×Dic₁₃).₃₀C₂² = C₂³.₆D₂₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₁₃	208		(C2xDic13).30C2^2	416,106
(C₂×Dic₁₃).₃₁C₂² = C₂².D₅₂	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₁₃	208		(C2xDic13).31C2^2	416,107
(C₂×Dic₁₃).₃₂C₂² = C₄⋊C₄×D₁₃	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₁₃	208		(C2xDic13).32C2^2	416,112
(C₂×Dic₁₃).₃₃C₂² = C₄⋊C₄⋊₇D₁₃	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₁₃	208		(C2xDic13).33C2^2	416,113
(C₂×Dic₁₃).₃₄C₂² = C₄⋊₂D₅₂	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₁₃	208		(C2xDic13).34C2^2	416,116
(C₂×Dic₁₃).₃₅C₂² = C₄⋊C₄⋊D₁₃	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₁₃	208		(C2xDic13).35C2^2	416,119
(C₂×Dic₁₃).₃₆C₂² = C₂×C₂₆.D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₁₃	416		(C2xDic13).36C2^2	416,144
(C₂×Dic₁₃).₃₇C₂² = C₂×C₅₂⋊₃C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₁₃	416		(C2xDic13).37C2^2	416,146
(C₂×Dic₁₃).₃₈C₂² = C₂³.₂₁D₂₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₁₃	208		(C2xDic13).38C2^2	416,147
(C₂×Dic₁₃).₃₉C₂² = C₄×C₁₃⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₁₃	208		(C2xDic13).39C2^2	416,149
(C₂×Dic₁₃).₄₀C₂² = D₄×Dic₁₃	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₁₃	208		(C2xDic13).40C2^2	416,155
(C₂×Dic₁₃).₄₁C₂² = Dic₁₃⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₁₃	208		(C2xDic13).41C2^2	416,160
(C₂×Dic₁₃).₄₂C₂² = C₅₂⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₁₃	208		(C2xDic13).42C2^2	416,161
(C₂×Dic₁₃).₄₃C₂² = Q₈×Dic₁₃	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₁₃	416		(C2xDic13).43C2^2	416,166
(C₂×Dic₁₃).₄₄C₂² = C₅₂.₂₃D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₁₃	208		(C2xDic13).44C2^2	416,168
(C₂×Dic₁₃).₄₅C₂² = C₂²×Dic₂₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₁₃	416		(C2xDic13).45C2^2	416,212
(C₂×Dic₁₃).₄₆C₂² = C₂×D₅₂⋊₅C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₁₃	208		(C2xDic13).46C2^2	416,215
(C₂×Dic₁₃).₄₇C₂² = C₂×Q₈×D₁₃	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₁₃	208		(C2xDic13).47C2^2	416,219
(C₂×Dic₁₃).₄₈C₂² = C₄×C₁₃⋊C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₁₃	416		(C2xDic13).48C2^2	416,75
(C₂×Dic₁₃).₄₉C₂² = C₅₂⋊C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₁₃	416		(C2xDic13).49C2^2	416,76
(C₂×Dic₁₃).₅₀C₂² = C₂₆.C₄²	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₁₃	416		(C2xDic13).50C2^2	416,77
(C₂×Dic₁₃).₅₁C₂² = D₂₆⋊C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₁₃	208		(C2xDic13).51C2^2	416,78
(C₂×Dic₁₃).₅₂C₂² = Dic₁₃⋊C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₁₃	416		(C2xDic13).52C2^2	416,79
(C₂×Dic₁₃).₅₃C₂² = C₂₆.M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₁₃	208		(C2xDic13).53C2^2	416,87
(C₂×Dic₁₃).₅₄C₂² = C₂×D₁₃⋊C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₁₃	208		(C2xDic13).54C2^2	416,199
(C₂×Dic₁₃).₅₅C₂² = C₂×C₅₂.C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₁₃	208		(C2xDic13).55C2^2	416,200
(C₂×Dic₁₃).₅₆C₂² = D₁₃⋊M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₁₃	104	4	(C2xDic13).56C2^2	416,201
(C₂×Dic₁₃).₅₇C₂² = C₂²×C₁₃⋊C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₁₃	416		(C2xDic13).57C2^2	416,209
(C₂×Dic₁₃).₅₈C₂² = C₂×C₁₃⋊M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₂×Dic₁₃	208		(C2xDic13).58C2^2	416,210
(C₂×Dic₁₃).₅₉C₂² = C₄²×D₁₃	φ: trivial image	208		(C2xDic13).59C2^2	416,92
(C₂×Dic₁₃).₆₀C₂² = C₂³.₁₁D₂₆	φ: trivial image	208		(C2xDic13).60C2^2	416,98
(C₂×Dic₁₃).₆₁C₂² = Dic₁₃⋊₄D₄	φ: trivial image	208		(C2xDic13).61C2^2	416,102
(C₂×Dic₁₃).₆₂C₂² = Dic₁₃⋊₃Q₈	φ: trivial image	416		(C2xDic13).62C2^2	416,108
(C₂×Dic₁₃).₆₃C₂² = D₅₂⋊₈C₄	φ: trivial image	208		(C2xDic13).63C2^2	416,114
(C₂×Dic₁₃).₆₄C₂² = C₂×C₄×Dic₁₃	φ: trivial image	416		(C2xDic13).64C2^2	416,143
(C₂×Dic₁₃).₆₅C₂² = C₂×D₅₂⋊C₂	φ: trivial image	208		(C2xDic13).65C2^2	416,220

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Extensions 1→N→G→Q→1 with N=C2×Dic13 and Q=C22

Extensions 1→N→G→Q→1 with N=C₂×Dic₁₃ and Q=C₂²