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Extensions 1→N→G→Q→1 with N=C22 and Q=C32⋊7D4

Direct product G=N×Q with N=C22 and Q=C32⋊7D4
dρLabelID
C22×C32⋊7D4144C2^2xC3^2:7D4288,1017

Semidirect products G=N:Q with N=C22 and Q=C32⋊7D4
extensionφ:Q→Aut NdρLabelID
C22⋊(C32⋊7D4) = (C2×C6)⋊4S4φ: C32⋊7D4/C2×C6 → S3 ⊆ Aut C22366C2^2:(C3^2:7D4)288,917
C22⋊2(C32⋊7D4) = C62⋊14D4φ: C32⋊7D4/C3⋊Dic3 → C2 ⊆ Aut C22144C2^2:2(C3^2:7D4)288,796
C22⋊3(C32⋊7D4) = C62⋊13D4φ: C32⋊7D4/C2×C3⋊S3 → C2 ⊆ Aut C2272C2^2:3(C3^2:7D4)288,794
C22⋊4(C32⋊7D4) = C62⋊24D4φ: C32⋊7D4/C62 → C2 ⊆ Aut C2272C2^2:4(C3^2:7D4)288,810

Non-split extensions G=N.Q with N=C22 and Q=C32⋊7D4
extensionφ:Q→Aut NdρLabelID
C22.1(C32⋊7D4) = C62.74D4φ: C32⋊7D4/C3⋊Dic3 → C2 ⊆ Aut C22144C2^2.1(C3^2:7D4)288,807
C22.2(C32⋊7D4) = C62.38D4φ: C32⋊7D4/C2×C3⋊S3 → C2 ⊆ Aut C2272C2^2.2(C3^2:7D4)288,309
C22.3(C32⋊7D4) = C62.39D4φ: C32⋊7D4/C2×C3⋊S3 → C2 ⊆ Aut C2272C2^2.3(C3^2:7D4)288,312
C22.4(C32⋊7D4) = C62.72D4φ: C32⋊7D4/C2×C3⋊S3 → C2 ⊆ Aut C22144C2^2.4(C3^2:7D4)288,792
C22.5(C32⋊7D4) = C62.73D4φ: C32⋊7D4/C2×C3⋊S3 → C2 ⊆ Aut C2272C2^2.5(C3^2:7D4)288,806
C22.6(C32⋊7D4) = C62.75D4φ: C32⋊7D4/C2×C3⋊S3 → C2 ⊆ Aut C22144C2^2.6(C3^2:7D4)288,808
C22.7(C32⋊7D4) = C122⋊C2φ: C32⋊7D4/C62 → C2 ⊆ Aut C2272C2^2.7(C3^2:7D4)288,280
C22.8(C32⋊7D4) = C62.110D4φ: C32⋊7D4/C62 → C2 ⊆ Aut C2272C2^2.8(C3^2:7D4)288,281
C22.9(C32⋊7D4) = C62.129D4φ: C32⋊7D4/C62 → C2 ⊆ Aut C22144C2^2.9(C3^2:7D4)288,786
C22.10(C32⋊7D4) = C62.131D4φ: C32⋊7D4/C62 → C2 ⊆ Aut C2272C2^2.10(C3^2:7D4)288,789
C22.11(C32⋊7D4) = C62.134D4φ: C32⋊7D4/C62 → C2 ⊆ Aut C22144C2^2.11(C3^2:7D4)288,799
C22.12(C32⋊7D4) = C12.9Dic6central extension (φ=1)288C2^2.12(C3^2:7D4)288,282
C22.13(C32⋊7D4) = C12.10Dic6central extension (φ=1)288C2^2.13(C3^2:7D4)288,283
C22.14(C32⋊7D4) = C62.113D4central extension (φ=1)144C2^2.14(C3^2:7D4)288,284
C22.15(C32⋊7D4) = C62.114D4central extension (φ=1)288C2^2.15(C3^2:7D4)288,285
C22.16(C32⋊7D4) = C62.15Q8central extension (φ=1)288C2^2.16(C3^2:7D4)288,306
C22.17(C32⋊7D4) = C62.116D4central extension (φ=1)144C2^2.17(C3^2:7D4)288,307
C22.18(C32⋊7D4) = C62.117D4central extension (φ=1)288C2^2.18(C3^2:7D4)288,310
C22.19(C32⋊7D4) = C2×C6.Dic6central extension (φ=1)288C2^2.19(C3^2:7D4)288,780
C22.20(C32⋊7D4) = C2×C6.11D12central extension (φ=1)144C2^2.20(C3^2:7D4)288,784
C22.21(C32⋊7D4) = C2×C32⋊7D8central extension (φ=1)144C2^2.21(C3^2:7D4)288,788
C22.22(C32⋊7D4) = C2×C32⋊9SD16central extension (φ=1)144C2^2.22(C3^2:7D4)288,790
C22.23(C32⋊7D4) = C2×C32⋊11SD16central extension (φ=1)144C2^2.23(C3^2:7D4)288,798
C22.24(C32⋊7D4) = C2×C32⋊7Q16central extension (φ=1)288C2^2.24(C3^2:7D4)288,800
C22.25(C32⋊7D4) = C2×C62⋊5C4central extension (φ=1)144C2^2.25(C3^2:7D4)288,809

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