Extensions 1→N→G→Q→1 with N=Q8×C7⋊C3 and Q=C2

Direct product G=N×Q with N=Q8×C7⋊C3 and Q=C2
dρLabelID
C2×Q8×C7⋊C3112C2xQ8xC7:C3336,166

Semidirect products G=N:Q with N=Q8×C7⋊C3 and Q=C2
extensionφ:Q→Out NdρLabelID
(Q8×C7⋊C3)⋊1C2 = Q82F7φ: C2/C1C2 ⊆ Out Q8×C7⋊C35612+(Q8xC7:C3):1C2336,20
(Q8×C7⋊C3)⋊2C2 = Q8×F7φ: C2/C1C2 ⊆ Out Q8×C7⋊C35612-(Q8xC7:C3):2C2336,127
(Q8×C7⋊C3)⋊3C2 = Q83F7φ: C2/C1C2 ⊆ Out Q8×C7⋊C35612+(Q8xC7:C3):3C2336,128
(Q8×C7⋊C3)⋊4C2 = SD16×C7⋊C3φ: C2/C1C2 ⊆ Out Q8×C7⋊C3566(Q8xC7:C3):4C2336,54
(Q8×C7⋊C3)⋊5C2 = C4○D4×C7⋊C3φ: trivial image566(Q8xC7:C3):5C2336,167

Non-split extensions G=N.Q with N=Q8×C7⋊C3 and Q=C2
extensionφ:Q→Out NdρLabelID
(Q8×C7⋊C3).1C2 = Q8.2F7φ: C2/C1C2 ⊆ Out Q8×C7⋊C311212-(Q8xC7:C3).1C2336,21
(Q8×C7⋊C3).2C2 = Q16×C7⋊C3φ: C2/C1C2 ⊆ Out Q8×C7⋊C31126(Q8xC7:C3).2C2336,55

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