Extensions 1→N→G→Q→1 with N=C26 and Q=C12

Direct product G=N×Q with N=C26 and Q=C12
dρLabelID
C2×C156312C2xC156312,42

Semidirect products G=N:Q with N=C26 and Q=C12
extensionφ:Q→Aut NdρLabelID
C26⋊C12 = C2×F13φ: C12/C1C12 ⊆ Aut C262612+C26:C12312,45
C262C12 = C2×C26.C6φ: C12/C2C6 ⊆ Aut C26104C26:2C12312,11
C263C12 = C6×C13⋊C4φ: C12/C3C4 ⊆ Aut C26784C26:3C12312,52
C264C12 = C2×C4×C13⋊C3φ: C12/C4C3 ⊆ Aut C26104C26:4C12312,22
C265C12 = C6×Dic13φ: C12/C6C2 ⊆ Aut C26312C26:5C12312,30

Non-split extensions G=N.Q with N=C26 and Q=C12
extensionφ:Q→Aut NdρLabelID
C26.C12 = C13⋊C24φ: C12/C1C12 ⊆ Aut C2610412-C26.C12312,7
C26.2C12 = C132C24φ: C12/C2C6 ⊆ Aut C261046C26.2C12312,1
C26.3C12 = C3×C13⋊C8φ: C12/C3C4 ⊆ Aut C263124C26.3C12312,13
C26.4C12 = C8×C13⋊C3φ: C12/C4C3 ⊆ Aut C261043C26.4C12312,2
C26.5C12 = C3×C132C8φ: C12/C6C2 ⊆ Aut C263122C26.5C12312,4

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