Extensions 1→N→G→Q→1 with N=Dic10 and Q=C6

Direct product G=N×Q with N=Dic10 and Q=C6
dρLabelID
C6×Dic10240C6xDic10240,155

Semidirect products G=N:Q with N=Dic10 and Q=C6
extensionφ:Q→Out NdρLabelID
Dic101C6 = C3×C40⋊C2φ: C6/C3C2 ⊆ Out Dic101202Dic10:1C6240,35
Dic102C6 = C3×D4.D5φ: C6/C3C2 ⊆ Out Dic101204Dic10:2C6240,45
Dic103C6 = C3×D42D5φ: C6/C3C2 ⊆ Out Dic101204Dic10:3C6240,160
Dic104C6 = C3×Q8×D5φ: C6/C3C2 ⊆ Out Dic101204Dic10:4C6240,161
Dic105C6 = C3×C4○D20φ: trivial image1202Dic10:5C6240,158

Non-split extensions G=N.Q with N=Dic10 and Q=C6
extensionφ:Q→Out NdρLabelID
Dic10.1C6 = C3×Dic20φ: C6/C3C2 ⊆ Out Dic102402Dic10.1C6240,37
Dic10.2C6 = C3×C5⋊Q16φ: C6/C3C2 ⊆ Out Dic102404Dic10.2C6240,47

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