Extensions 1→N→G→Q→1 with N=C5⋊D5 and Q=C23

Direct product G=N×Q with N=C5⋊D5 and Q=C23

Semidirect products G=N:Q with N=C5⋊D5 and Q=C23
extensionφ:Q→Out NdρLabelID
C5⋊D5⋊C23 = C22×D52φ: C23/C22C2 ⊆ Out C5⋊D540C5:D5:C2^3400,218

Non-split extensions G=N.Q with N=C5⋊D5 and Q=C23
extensionφ:Q→Out NdρLabelID
C5⋊D5.C23 = D5≀C2⋊C2φ: C23/C1C23 ⊆ Out C5⋊D5108+C5:D5.C2^3400,207
C5⋊D5.2C23 = C2×D5⋊F5φ: C23/C2C22 ⊆ Out C5⋊D5208+C5:D5.2C2^3400,210
C5⋊D5.3C23 = C2×D5≀C2φ: C23/C2C22 ⊆ Out C5⋊D5204+C5:D5.3C2^3400,211
C5⋊D5.4C23 = C2×C52⋊Q8φ: C23/C2C22 ⊆ Out C5⋊D5208+C5:D5.4C2^3400,212
C5⋊D5.5C23 = C22×C5⋊F5φ: C23/C22C2 ⊆ Out C5⋊D5100C5:D5.5C2^3400,216
C5⋊D5.6C23 = C22×C52⋊C4φ: C23/C22C2 ⊆ Out C5⋊D540C5:D5.6C2^3400,217