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Extensions 1→N→G→Q→1 with N=C4 and Q=C2.D8

Direct product G=N×Q with N=C4 and Q=C2.D8
dρLabelID
C4×C2.D8128C4xC2.D8128,507

Semidirect products G=N:Q with N=C4 and Q=C2.D8
extensionφ:Q→Aut NdρLabelID
C4⋊1(C2.D8) = C42.29Q8φ: C2.D8/C4⋊C4 → C2 ⊆ Aut C4128C4:1(C2.D8)128,679
C4⋊2(C2.D8) = C42.59Q8φ: C2.D8/C2×C8 → C2 ⊆ Aut C4128C4:2(C2.D8)128,577

Non-split extensions G=N.Q with N=C4 and Q=C2.D8
extensionφ:Q→Aut NdρLabelID
C4.1(C2.D8) = C42.8Q8φ: C2.D8/C4⋊C4 → C2 ⊆ Aut C4128C4.1(C2.D8)128,28
C4.2(C2.D8) = C42.10Q8φ: C2.D8/C4⋊C4 → C2 ⊆ Aut C432C4.2(C2.D8)128,35
C4.3(C2.D8) = C8.2C42φ: C2.D8/C4⋊C4 → C2 ⊆ Aut C464C4.3(C2.D8)128,119
C4.4(C2.D8) = C8.4C42φ: C2.D8/C4⋊C4 → C2 ⊆ Aut C4324C4.4(C2.D8)128,121
C4.5(C2.D8) = C42.91D4φ: C2.D8/C4⋊C4 → C2 ⊆ Aut C464C4.5(C2.D8)128,303
C4.6(C2.D8) = M5(2)⋊1C4φ: C2.D8/C4⋊C4 → C2 ⊆ Aut C464C4.6(C2.D8)128,891
C4.7(C2.D8) = M5(2).1C4φ: C2.D8/C4⋊C4 → C2 ⊆ Aut C4324C4.7(C2.D8)128,893
C4.8(C2.D8) = C42.5Q8φ: C2.D8/C2×C8 → C2 ⊆ Aut C432C4.8(C2.D8)128,18
C4.9(C2.D8) = C8.11C42φ: C2.D8/C2×C8 → C2 ⊆ Aut C432C4.9(C2.D8)128,115
C4.10(C2.D8) = C32⋊3C4φ: C2.D8/C2×C8 → C2 ⊆ Aut C4128C4.10(C2.D8)128,155
C4.11(C2.D8) = C32⋊4C4φ: C2.D8/C2×C8 → C2 ⊆ Aut C4128C4.11(C2.D8)128,156
C4.12(C2.D8) = C32.C4φ: C2.D8/C2×C8 → C2 ⊆ Aut C4642C4.12(C2.D8)128,157
C4.13(C2.D8) = C8.Q16φ: C2.D8/C2×C8 → C2 ⊆ Aut C4324C4.13(C2.D8)128,158
C4.14(C2.D8) = C8⋊7M4(2)φ: C2.D8/C2×C8 → C2 ⊆ Aut C464C4.14(C2.D8)128,299
C4.15(C2.D8) = C42.55Q8φ: C2.D8/C2×C8 → C2 ⊆ Aut C4128C4.15(C2.D8)128,566
C4.16(C2.D8) = C2×C16⋊3C4φ: C2.D8/C2×C8 → C2 ⊆ Aut C4128C4.16(C2.D8)128,888
C4.17(C2.D8) = C2×C16⋊4C4φ: C2.D8/C2×C8 → C2 ⊆ Aut C4128C4.17(C2.D8)128,889
C4.18(C2.D8) = C2×C8.4Q8φ: C2.D8/C2×C8 → C2 ⊆ Aut C464C4.18(C2.D8)128,892
C4.19(C2.D8) = C42.46Q8central extension (φ=1)128C4.19(C2.D8)128,11
C4.20(C2.D8) = C8.36D8central extension (φ=1)128C4.20(C2.D8)128,102
C4.21(C2.D8) = C16.3C8central extension (φ=1)322C4.21(C2.D8)128,105
C4.22(C2.D8) = C8.9C42central extension (φ=1)64C4.22(C2.D8)128,114
C4.23(C2.D8) = C2×C8⋊1C8central extension (φ=1)128C4.23(C2.D8)128,295
C4.24(C2.D8) = C23.25D8central extension (φ=1)64C4.24(C2.D8)128,890

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