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Extensions 1→N→G→Q→1 with N=C6 and Q=C4.10D4

Direct product G=N×Q with N=C6 and Q=C4.10D4
dρLabelID
C6×C4.10D496C6xC4.10D4192,845

Semidirect products G=N:Q with N=C6 and Q=C4.10D4
extensionφ:Q→Aut NdρLabelID
C6⋊1(C4.10D4) = C2×C12.47D4φ: C4.10D4/M4(2) → C2 ⊆ Aut C696C6:1(C4.10D4)192,695
C6⋊2(C4.10D4) = C2×C12.10D4φ: C4.10D4/C2×Q8 → C2 ⊆ Aut C696C6:2(C4.10D4)192,785

Non-split extensions G=N.Q with N=C6 and Q=C4.10D4
extensionφ:Q→Aut NdρLabelID
C6.1(C4.10D4) = C42.2D6φ: C4.10D4/M4(2) → C2 ⊆ Aut C6192C6.1(C4.10D4)192,24
C6.2(C4.10D4) = (C2×Dic3)⋊C8φ: C4.10D4/M4(2) → C2 ⊆ Aut C696C6.2(C4.10D4)192,28
C6.3(C4.10D4) = C12.47D8φ: C4.10D4/M4(2) → C2 ⊆ Aut C6192C6.3(C4.10D4)192,41
C6.4(C4.10D4) = C12.2D8φ: C4.10D4/M4(2) → C2 ⊆ Aut C6192C6.4(C4.10D4)192,45
C6.5(C4.10D4) = M4(2)⋊Dic3φ: C4.10D4/M4(2) → C2 ⊆ Aut C696C6.5(C4.10D4)192,113
C6.6(C4.10D4) = (C2×C12)⋊C8φ: C4.10D4/C2×Q8 → C2 ⊆ Aut C696C6.6(C4.10D4)192,87
C6.7(C4.10D4) = C12.(C4⋊C4)φ: C4.10D4/C2×Q8 → C2 ⊆ Aut C696C6.7(C4.10D4)192,89
C6.8(C4.10D4) = C42.8D6φ: C4.10D4/C2×Q8 → C2 ⊆ Aut C6192C6.8(C4.10D4)192,102
C6.9(C4.10D4) = C12.10D8φ: C4.10D4/C2×Q8 → C2 ⊆ Aut C6192C6.9(C4.10D4)192,106
C6.10(C4.10D4) = C3×C22.M4(2)central extension (φ=1)96C6.10(C4.10D4)192,130
C6.11(C4.10D4) = C3×C42.2C22central extension (φ=1)192C6.11(C4.10D4)192,136
C6.12(C4.10D4) = C3×C4.10D8central extension (φ=1)192C6.12(C4.10D4)192,138
C6.13(C4.10D4) = C3×C22.C42central extension (φ=1)96C6.13(C4.10D4)192,149

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