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Extensions 1→N→G→Q→1 with N=C22 and Q=C2×C10

Direct product G=N×Q with N=C22 and Q=C2×C10
dρLabelID
C22×C110440C2^2xC110440,51

Semidirect products G=N:Q with N=C22 and Q=C2×C10
extensionφ:Q→Aut NdρLabelID
C22⋊(C2×C10) = C22×F11φ: C2×C10/C2 → C10 ⊆ Aut C2244C22:(C2xC10)440,42
C22⋊2(C2×C10) = C23×C11⋊C5φ: C2×C10/C22 → C5 ⊆ Aut C2288C22:2(C2xC10)440,44
C22⋊3(C2×C10) = C2×C10×D11φ: C2×C10/C10 → C2 ⊆ Aut C22220C22:3(C2xC10)440,48

Non-split extensions G=N.Q with N=C22 and Q=C2×C10
extensionφ:Q→Aut NdρLabelID
C22.1(C2×C10) = C4.F11φ: C2×C10/C2 → C10 ⊆ Aut C228810-C22.1(C2xC10)440,7
C22.2(C2×C10) = C4×F11φ: C2×C10/C2 → C10 ⊆ Aut C224410C22.2(C2xC10)440,8
C22.3(C2×C10) = D44⋊C5φ: C2×C10/C2 → C10 ⊆ Aut C224410+C22.3(C2xC10)440,9
C22.4(C2×C10) = C2×C11⋊C20φ: C2×C10/C2 → C10 ⊆ Aut C2288C22.4(C2xC10)440,10
C22.5(C2×C10) = C22⋊F11φ: C2×C10/C2 → C10 ⊆ Aut C224410C22.5(C2xC10)440,11
C22.6(C2×C10) = C2×C4×C11⋊C5φ: C2×C10/C22 → C5 ⊆ Aut C2288C22.6(C2xC10)440,12
C22.7(C2×C10) = D4×C11⋊C5φ: C2×C10/C22 → C5 ⊆ Aut C224410C22.7(C2xC10)440,13
C22.8(C2×C10) = Q8×C11⋊C5φ: C2×C10/C22 → C5 ⊆ Aut C228810C22.8(C2xC10)440,14
C22.9(C2×C10) = C5×Dic22φ: C2×C10/C10 → C2 ⊆ Aut C224402C22.9(C2xC10)440,24
C22.10(C2×C10) = C20×D11φ: C2×C10/C10 → C2 ⊆ Aut C222202C22.10(C2xC10)440,25
C22.11(C2×C10) = C5×D44φ: C2×C10/C10 → C2 ⊆ Aut C222202C22.11(C2xC10)440,26
C22.12(C2×C10) = C10×Dic11φ: C2×C10/C10 → C2 ⊆ Aut C22440C22.12(C2xC10)440,27
C22.13(C2×C10) = C5×C11⋊D4φ: C2×C10/C10 → C2 ⊆ Aut C222202C22.13(C2xC10)440,28
C22.14(C2×C10) = D4×C55central extension (φ=1)2202C22.14(C2xC10)440,40
C22.15(C2×C10) = Q8×C55central extension (φ=1)4402C22.15(C2xC10)440,41

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