Extensions 1→N→G→Q→1 with N=C2×C7⋊C3 and Q=C23

Direct product G=N×Q with N=C2×C7⋊C3 and Q=C23
dρLabelID
C24×C7⋊C3112C2^4xC7:C3336,220

Semidirect products G=N:Q with N=C2×C7⋊C3 and Q=C23
extensionφ:Q→Out NdρLabelID
(C2×C7⋊C3)⋊C23 = C23×F7φ: C23/C22C2 ⊆ Out C2×C7⋊C356(C2xC7:C3):C2^3336,216

Non-split extensions G=N.Q with N=C2×C7⋊C3 and Q=C23
extensionφ:Q→Out NdρLabelID
(C2×C7⋊C3).1C23 = C2×C4.F7φ: C23/C22C2 ⊆ Out C2×C7⋊C3112(C2xC7:C3).1C2^3336,121
(C2×C7⋊C3).2C23 = C2×C4×F7φ: C23/C22C2 ⊆ Out C2×C7⋊C356(C2xC7:C3).2C2^3336,122
(C2×C7⋊C3).3C23 = C2×C4⋊F7φ: C23/C22C2 ⊆ Out C2×C7⋊C356(C2xC7:C3).3C2^3336,123
(C2×C7⋊C3).4C23 = D286C6φ: C23/C22C2 ⊆ Out C2×C7⋊C3566(C2xC7:C3).4C2^3336,124
(C2×C7⋊C3).5C23 = D4×F7φ: C23/C22C2 ⊆ Out C2×C7⋊C32812+(C2xC7:C3).5C2^3336,125
(C2×C7⋊C3).6C23 = D42F7φ: C23/C22C2 ⊆ Out C2×C7⋊C35612-(C2xC7:C3).6C2^3336,126
(C2×C7⋊C3).7C23 = Q8×F7φ: C23/C22C2 ⊆ Out C2×C7⋊C35612-(C2xC7:C3).7C2^3336,127
(C2×C7⋊C3).8C23 = Q83F7φ: C23/C22C2 ⊆ Out C2×C7⋊C35612+(C2xC7:C3).8C2^3336,128
(C2×C7⋊C3).9C23 = C22×C7⋊C12φ: C23/C22C2 ⊆ Out C2×C7⋊C3112(C2xC7:C3).9C2^3336,129
(C2×C7⋊C3).10C23 = C2×Dic7⋊C6φ: C23/C22C2 ⊆ Out C2×C7⋊C356(C2xC7:C3).10C2^3336,130
(C2×C7⋊C3).11C23 = C22×C4×C7⋊C3φ: trivial image112(C2xC7:C3).11C2^3336,164
(C2×C7⋊C3).12C23 = C2×D4×C7⋊C3φ: trivial image56(C2xC7:C3).12C2^3336,165
(C2×C7⋊C3).13C23 = C2×Q8×C7⋊C3φ: trivial image112(C2xC7:C3).13C2^3336,166
(C2×C7⋊C3).14C23 = C4○D4×C7⋊C3φ: trivial image566(C2xC7:C3).14C2^3336,167

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