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Extensions 1→N→G→Q→1 with N=C4 and Q=C2×C24

Direct product G=N×Q with N=C4 and Q=C2×C24
dρLabelID
C2×C4×C24192C2xC4xC24192,835

Semidirect products G=N:Q with N=C4 and Q=C2×C24
extensionφ:Q→Aut NdρLabelID
C4⋊1(C2×C24) = D4×C24φ: C2×C24/C24 → C2 ⊆ Aut C496C4:1(C2xC24)192,867
C4⋊2(C2×C24) = C6×C4⋊C8φ: C2×C24/C2×C12 → C2 ⊆ Aut C4192C4:2(C2xC24)192,855

Non-split extensions G=N.Q with N=C4 and Q=C2×C24
extensionφ:Q→Aut NdρLabelID
C4.1(C2×C24) = C3×D4⋊C8φ: C2×C24/C24 → C2 ⊆ Aut C496C4.1(C2xC24)192,131
C4.2(C2×C24) = C3×Q8⋊C8φ: C2×C24/C24 → C2 ⊆ Aut C4192C4.2(C2xC24)192,132
C4.3(C2×C24) = C3×D4.C8φ: C2×C24/C24 → C2 ⊆ Aut C4962C4.3(C2xC24)192,156
C4.4(C2×C24) = Q8×C24φ: C2×C24/C24 → C2 ⊆ Aut C4192C4.4(C2xC24)192,878
C4.5(C2×C24) = C3×D4○C16φ: C2×C24/C24 → C2 ⊆ Aut C4962C4.5(C2xC24)192,937
C4.6(C2×C24) = C3×C8⋊2C8φ: C2×C24/C2×C12 → C2 ⊆ Aut C4192C4.6(C2xC24)192,140
C4.7(C2×C24) = C3×C8⋊1C8φ: C2×C24/C2×C12 → C2 ⊆ Aut C4192C4.7(C2xC24)192,141
C4.8(C2×C24) = C3×C8.C8φ: C2×C24/C2×C12 → C2 ⊆ Aut C4482C4.8(C2xC24)192,170
C4.9(C2×C24) = C3×C42.12C4φ: C2×C24/C2×C12 → C2 ⊆ Aut C496C4.9(C2xC24)192,864
C4.10(C2×C24) = C6×M5(2)φ: C2×C24/C2×C12 → C2 ⊆ Aut C496C4.10(C2xC24)192,936
C4.11(C2×C24) = C3×C8⋊C8central extension (φ=1)192C4.11(C2xC24)192,128
C4.12(C2×C24) = C3×C16⋊5C4central extension (φ=1)192C4.12(C2xC24)192,152
C4.13(C2×C24) = C3×M6(2)central extension (φ=1)962C4.13(C2xC24)192,176

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