# Extensions 1→N→G→Q→1 with N=C15 and Q=C4.D4

Direct product G=N×Q with N=C15 and Q=C4.D4
dρLabelID
C15×C4.D41204C15xC4.D4480,203

Semidirect products G=N:Q with N=C15 and Q=C4.D4
extensionφ:Q→Aut NdρLabelID
C15⋊(C4.D4) = Dic5.D12φ: C4.D4/C22C2×C4 ⊆ Aut C151208+C15:(C4.D4)480,250
C152(C4.D4) = C60.28D4φ: C4.D4/C2×C4C22 ⊆ Aut C151204C15:2(C4.D4)480,34
C153(C4.D4) = C20.5D12φ: C4.D4/C2×C4C22 ⊆ Aut C151204C15:3(C4.D4)480,35
C154(C4.D4) = C60.29D4φ: C4.D4/C2×C4C22 ⊆ Aut C151204+C15:4(C4.D4)480,36
C155(C4.D4) = C5⋊(C12.D4)φ: C4.D4/C23C4 ⊆ Aut C151204C15:5(C4.D4)480,318
C156(C4.D4) = C3×C23.F5φ: C4.D4/C23C4 ⊆ Aut C151204C15:6(C4.D4)480,293
C157(C4.D4) = M4(2)⋊D15φ: C4.D4/M4(2)C2 ⊆ Aut C151204+C15:7(C4.D4)480,183
C158(C4.D4) = C3×C20.46D4φ: C4.D4/M4(2)C2 ⊆ Aut C151204C15:8(C4.D4)480,101
C159(C4.D4) = C5×C12.46D4φ: C4.D4/M4(2)C2 ⊆ Aut C151204C15:9(C4.D4)480,142
C1510(C4.D4) = C60.8D4φ: C4.D4/C2×D4C2 ⊆ Aut C151204C15:10(C4.D4)480,193
C1511(C4.D4) = C3×C20.D4φ: C4.D4/C2×D4C2 ⊆ Aut C151204C15:11(C4.D4)480,111
C1512(C4.D4) = C5×C12.D4φ: C4.D4/C2×D4C2 ⊆ Aut C151204C15:12(C4.D4)480,152

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