Extensions 1→N→G→Q→1 with N=He33C4 and Q=C3

Direct product G=N×Q with N=He33C4 and Q=C3
dρLabelID
C3×He33C4108C3xHe3:3C4324,99

Semidirect products G=N:Q with N=He33C4 and Q=C3
extensionφ:Q→Out NdρLabelID
He33C41C3 = He3⋊C12φ: C3/C1C3 ⊆ Out He33C4363He3:3C4:1C3324,13
He33C42C3 = He3.2C12φ: C3/C1C3 ⊆ Out He33C41083He3:3C4:2C3324,17

Non-split extensions G=N.Q with N=He33C4 and Q=C3
extensionφ:Q→Out NdρLabelID
He33C4.C3 = He3.C12φ: C3/C1C3 ⊆ Out He33C41083He3:3C4.C3324,15
He33C4.2C3 = He3.5C12φ: trivial image1083He3:3C4.2C3324,102

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