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Extensions 1→N→G→Q→1 with N=Dic7 and Q=C4⋊C4

Direct product G=N×Q with N=Dic7 and Q=C4⋊C4
dρLabelID
C4⋊C4×Dic7448C4:C4xDic7448,509

Semidirect products G=N:Q with N=Dic7 and Q=C4⋊C4
extensionφ:Q→Out NdρLabelID
Dic7⋊1(C4⋊C4) = C14.(C4×Q8)φ: C4⋊C4/C2×C4 → C2 ⊆ Out Dic7448Dic7:1(C4:C4)448,181
Dic7⋊2(C4⋊C4) = Dic7⋊(C4⋊C4)φ: C4⋊C4/C2×C4 → C2 ⊆ Out Dic7448Dic7:2(C4:C4)448,506
Dic7⋊3(C4⋊C4) = (C4×Dic7)⋊8C4φ: C4⋊C4/C2×C4 → C2 ⊆ Out Dic7448Dic7:3(C4:C4)448,510
Dic7⋊4(C4⋊C4) = Dic7⋊C42φ: trivial image448Dic7:4(C4:C4)448,183

Non-split extensions G=N.Q with N=Dic7 and Q=C4⋊C4
extensionφ:Q→Out NdρLabelID
Dic7.1(C4⋊C4) = C7⋊(C42⋊8C4)φ: C4⋊C4/C2×C4 → C2 ⊆ Out Dic7448Dic7.1(C4:C4)448,184
Dic7.2(C4⋊C4) = C28⋊M4(2)φ: C4⋊C4/C2×C4 → C2 ⊆ Out Dic7224Dic7.2(C4:C4)448,371
Dic7.3(C4⋊C4) = C42.30D14φ: C4⋊C4/C2×C4 → C2 ⊆ Out Dic7224Dic7.3(C4:C4)448,373
Dic7.4(C4⋊C4) = D7×C4.Q8φ: C4⋊C4/C2×C4 → C2 ⊆ Out Dic7224Dic7.4(C4:C4)448,393
Dic7.5(C4⋊C4) = C8⋊(C4×D7)φ: C4⋊C4/C2×C4 → C2 ⊆ Out Dic7224Dic7.5(C4:C4)448,395
Dic7.6(C4⋊C4) = D7×C2.D8φ: C4⋊C4/C2×C4 → C2 ⊆ Out Dic7224Dic7.6(C4:C4)448,413
Dic7.7(C4⋊C4) = C56⋊(C2×C4)φ: C4⋊C4/C2×C4 → C2 ⊆ Out Dic7224Dic7.7(C4:C4)448,415
Dic7.8(C4⋊C4) = D7×C8.C4φ: C4⋊C4/C2×C4 → C2 ⊆ Out Dic71124Dic7.8(C4:C4)448,426
Dic7.9(C4⋊C4) = M4(2).25D14φ: C4⋊C4/C2×C4 → C2 ⊆ Out Dic71124Dic7.9(C4:C4)448,427
Dic7.10(C4⋊C4) = D7×C4⋊C8φ: trivial image224Dic7.10(C4:C4)448,366
Dic7.11(C4⋊C4) = (C8×D7)⋊C4φ: trivial image224Dic7.11(C4:C4)448,394
Dic7.12(C4⋊C4) = C8.27(C4×D7)φ: trivial image224Dic7.12(C4:C4)448,414

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