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Extensions 1→N→G→Q→1 with N=C4 and Q=C4.10D4

Direct product G=N×Q with N=C4 and Q=C4.10D4
dρLabelID
C4×C4.10D464C4xC4.10D4128,488

Semidirect products G=N:Q with N=C4 and Q=C4.10D4
extensionφ:Q→Aut NdρLabelID
C4⋊1(C4.10D4) = C42.114D4φ: C4.10D4/M4(2) → C2 ⊆ Aut C464C4:1(C4.10D4)128,698
C4⋊2(C4.10D4) = C42.97D4φ: C4.10D4/C2×Q8 → C2 ⊆ Aut C464C4:2(C4.10D4)128,533

Non-split extensions G=N.Q with N=C4 and Q=C4.10D4
extensionφ:Q→Aut NdρLabelID
C4.1(C4.10D4) = C8.16Q16φ: C4.10D4/M4(2) → C2 ⊆ Aut C4128C4.1(C4.10D4)128,95
C4.2(C4.10D4) = C4.10D16φ: C4.10D4/M4(2) → C2 ⊆ Aut C4128C4.2(C4.10D4)128,96
C4.3(C4.10D4) = C4.6Q32φ: C4.10D4/M4(2) → C2 ⊆ Aut C4128C4.3(C4.10D4)128,97
C4.4(C4.10D4) = C42.396D4φ: C4.10D4/M4(2) → C2 ⊆ Aut C464C4.4(C4.10D4)128,202
C4.5(C4.10D4) = C42.408D4φ: C4.10D4/M4(2) → C2 ⊆ Aut C464C4.5(C4.10D4)128,260
C4.6(C4.10D4) = C42.414D4φ: C4.10D4/M4(2) → C2 ⊆ Aut C464C4.6(C4.10D4)128,278
C4.7(C4.10D4) = C42.416D4φ: C4.10D4/M4(2) → C2 ⊆ Aut C464C4.7(C4.10D4)128,281
C4.8(C4.10D4) = M4(2)⋊8Q8φ: C4.10D4/M4(2) → C2 ⊆ Aut C464C4.8(C4.10D4)128,729
C4.9(C4.10D4) = C42.25D4φ: C4.10D4/C2×Q8 → C2 ⊆ Aut C464C4.9(C4.10D4)128,22
C4.10(C4.10D4) = C42.27D4φ: C4.10D4/C2×Q8 → C2 ⊆ Aut C464C4.10(C4.10D4)128,24
C4.11(C4.10D4) = C42.30D4φ: C4.10D4/C2×Q8 → C2 ⊆ Aut C464C4.11(C4.10D4)128,39
C4.12(C4.10D4) = C42.32D4φ: C4.10D4/C2×Q8 → C2 ⊆ Aut C464C4.12(C4.10D4)128,41
C4.13(C4.10D4) = C42.C8φ: C4.10D4/C2×Q8 → C2 ⊆ Aut C4164C4.13(C4.10D4)128,59
C4.14(C4.10D4) = C22⋊C4.C8φ: C4.10D4/C2×Q8 → C2 ⊆ Aut C4324C4.14(C4.10D4)128,60
C4.15(C4.10D4) = C42.44D4φ: C4.10D4/C2×Q8 → C2 ⊆ Aut C464C4.15(C4.10D4)128,199
C4.16(C4.10D4) = C42.74D4φ: C4.10D4/C2×Q8 → C2 ⊆ Aut C464C4.16(C4.10D4)128,269
C4.17(C4.10D4) = C42.88D4φ: C4.10D4/C2×Q8 → C2 ⊆ Aut C464C4.17(C4.10D4)128,293
C4.18(C4.10D4) = C42.3Q8central extension (φ=1)64C4.18(C4.10D4)128,15
C4.19(C4.10D4) = C42.388D4central extension (φ=1)64C4.19(C4.10D4)128,31
C4.20(C4.10D4) = C22.M5(2)central extension (φ=1)64C4.20(C4.10D4)128,54
C4.21(C4.10D4) = C23.7M4(2)central extension (φ=1)64C4.21(C4.10D4)128,55
C4.22(C4.10D4) = C42.394D4central extension (φ=1)64C4.22(C4.10D4)128,193
C4.23(C4.10D4) = C42.406D4central extension (φ=1)64C4.23(C4.10D4)128,258
C4.24(C4.10D4) = C42.412D4central extension (φ=1)64C4.24(C4.10D4)128,276

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