# Extensions 1→N→G→Q→1 with N=C23 and Q=C62

Direct product G=N×Q with N=C23 and Q=C62
dρLabelID
C23×C62288C2^3xC6^2288,1045

Semidirect products G=N:Q with N=C23 and Q=C62
extensionφ:Q→Aut NdρLabelID
C231C62 = C32×C22≀C2φ: C62/C32C22 ⊆ Aut C2372C2^3:1C6^2288,817
C232C62 = C32×2+ 1+4φ: C62/C32C22 ⊆ Aut C2372C2^3:2C6^2288,1022
C233C62 = A4×C22×C6φ: C62/C2×C6C3 ⊆ Aut C2372C2^3:3C6^2288,1041
C234C62 = D4×C62φ: C62/C3×C6C2 ⊆ Aut C23144C2^3:4C6^2288,1019

Non-split extensions G=N.Q with N=C23 and Q=C62
extensionφ:Q→Aut NdρLabelID
C23.1C62 = C32×C23⋊C4φ: C62/C32C22 ⊆ Aut C2372C2^3.1C6^2288,317
C23.2C62 = C32×C4⋊D4φ: C62/C32C22 ⊆ Aut C23144C2^3.2C6^2288,818
C23.3C62 = C32×C4.4D4φ: C62/C32C22 ⊆ Aut C23144C2^3.3C6^2288,821
C23.4C62 = C32×C422C2φ: C62/C32C22 ⊆ Aut C23144C2^3.4C6^2288,823
C23.5C62 = C32×C41D4φ: C62/C32C22 ⊆ Aut C23144C2^3.5C6^2288,824
C23.6C62 = A4×C2×C12φ: C62/C2×C6C3 ⊆ Aut C2372C2^3.6C6^2288,979
C23.7C62 = C3×D4×A4φ: C62/C2×C6C3 ⊆ Aut C23366C2^3.7C6^2288,980
C23.8C62 = C3×Q8×A4φ: C62/C2×C6C3 ⊆ Aut C23726C2^3.8C6^2288,982
C23.9C62 = C22⋊C4×C3×C6φ: C62/C3×C6C2 ⊆ Aut C23144C2^3.9C6^2288,812
C23.10C62 = C32×C42⋊C2φ: C62/C3×C6C2 ⊆ Aut C23144C2^3.10C6^2288,814
C23.11C62 = D4×C3×C12φ: C62/C3×C6C2 ⊆ Aut C23144C2^3.11C6^2288,815
C23.12C62 = C32×C22⋊Q8φ: C62/C3×C6C2 ⊆ Aut C23144C2^3.12C6^2288,819
C23.13C62 = C32×C22.D4φ: C62/C3×C6C2 ⊆ Aut C23144C2^3.13C6^2288,820
C23.14C62 = C4○D4×C3×C6φ: C62/C3×C6C2 ⊆ Aut C23144C2^3.14C6^2288,1021
C23.15C62 = C32×C2.C42central extension (φ=1)288C2^3.15C6^2288,313
C23.16C62 = C4⋊C4×C3×C6central extension (φ=1)288C2^3.16C6^2288,813
C23.17C62 = Q8×C62central extension (φ=1)288C2^3.17C6^2288,1020

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