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Extensions 1→N→G→Q→1 with N=Q8 and Q=C4⋊C4

Direct product G=N×Q with N=Q8 and Q=C4⋊C4
dρLabelID
Q8×C4⋊C4128Q8xC4:C4128,1082

Semidirect products G=N:Q with N=Q8 and Q=C4⋊C4
extensionφ:Q→Out NdρLabelID
Q8⋊1(C4⋊C4) = C42.99D4φ: C4⋊C4/C2×C4 → C2 ⊆ Out Q8128Q8:1(C4:C4)128,535
Q8⋊2(C4⋊C4) = C42.102D4φ: C4⋊C4/C2×C4 → C2 ⊆ Out Q832Q8:2(C4:C4)128,538
Q8⋊3(C4⋊C4) = C4≀C2⋊C4φ: C4⋊C4/C2×C4 → C2 ⊆ Out Q832Q8:3(C4:C4)128,591
Q8⋊4(C4⋊C4) = Q8⋊(C4⋊C4)φ: C4⋊C4/C2×C4 → C2 ⊆ Out Q8128Q8:4(C4:C4)128,595
Q8⋊5(C4⋊C4) = Q8⋊C4⋊C4φ: C4⋊C4/C2×C4 → C2 ⊆ Out Q8128Q8:5(C4:C4)128,597
Q8⋊6(C4⋊C4) = C23.233C24φ: trivial image128Q8:6(C4:C4)128,1083

Non-split extensions G=N.Q with N=Q8 and Q=C4⋊C4
extensionφ:Q→Out NdρLabelID
Q8.1(C4⋊C4) = C42.101D4φ: C4⋊C4/C2×C4 → C2 ⊆ Out Q8128Q8.1(C4:C4)128,537
Q8.2(C4⋊C4) = C8○D4⋊C4φ: C4⋊C4/C2×C4 → C2 ⊆ Out Q8324Q8.2(C4:C4)128,546
Q8.3(C4⋊C4) = C4○D4.4Q8φ: C4⋊C4/C2×C4 → C2 ⊆ Out Q864Q8.3(C4:C4)128,547
Q8.4(C4⋊C4) = C4○D4.5Q8φ: C4⋊C4/C2×C4 → C2 ⊆ Out Q864Q8.4(C4:C4)128,548
Q8.5(C4⋊C4) = C42⋊9(C2×C4)φ: C4⋊C4/C2×C4 → C2 ⊆ Out Q832Q8.5(C4:C4)128,592
Q8.6(C4⋊C4) = M4(2).41D4φ: C4⋊C4/C2×C4 → C2 ⊆ Out Q8164Q8.6(C4:C4)128,593
Q8.7(C4⋊C4) = M4(2).42D4φ: C4⋊C4/C2×C4 → C2 ⊆ Out Q832Q8.7(C4:C4)128,598
Q8.8(C4⋊C4) = C42.674C23φ: trivial image64Q8.8(C4:C4)128,1638
Q8.9(C4⋊C4) = C4○D4.7Q8φ: trivial image64Q8.9(C4:C4)128,1644
Q8.10(C4⋊C4) = C4○D4.8Q8φ: trivial image64Q8.10(C4:C4)128,1645
Q8.11(C4⋊C4) = M4(2).29C23φ: trivial image324Q8.11(C4:C4)128,1648

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