# Extensions 1→N→G→Q→1 with N=C22×D5 and Q=C12

Direct product G=N×Q with N=C22×D5 and Q=C12
dρLabelID
D5×C22×C12240D5xC2^2xC12480,1136

Semidirect products G=N:Q with N=C22×D5 and Q=C12
extensionφ:Q→Out NdρLabelID
(C22×D5)⋊C12 = C2×A4×F5φ: C12/C2C6 ⊆ Out C22×D53012+(C2^2xD5):C12480,1192
(C22×D5)⋊2C12 = C3×C23.1D10φ: C12/C3C4 ⊆ Out C22×D51204(C2^2xD5):2C12480,84
(C22×D5)⋊3C12 = C3×D10.D4φ: C12/C3C4 ⊆ Out C22×D51204(C2^2xD5):3C12480,279
(C22×D5)⋊4C12 = C4×D5×A4φ: C12/C4C3 ⊆ Out C22×D5606(C2^2xD5):4C12480,1036
(C22×D5)⋊5C12 = C3×D5×C22⋊C4φ: C12/C6C2 ⊆ Out C22×D5120(C2^2xD5):5C12480,673
(C22×D5)⋊6C12 = C6×D10⋊C4φ: C12/C6C2 ⊆ Out C22×D5240(C2^2xD5):6C12480,720
(C22×D5)⋊7C12 = C6×C22⋊F5φ: C12/C6C2 ⊆ Out C22×D5120(C2^2xD5):7C12480,1059
(C22×D5)⋊8C12 = F5×C22×C6φ: C12/C6C2 ⊆ Out C22×D5120(C2^2xD5):8C12480,1205

Non-split extensions G=N.Q with N=C22×D5 and Q=C12
extensionφ:Q→Out NdρLabelID
(C22×D5).1C12 = C3×C20.46D4φ: C12/C3C4 ⊆ Out C22×D51204(C2^2xD5).1C12480,101
(C22×D5).2C12 = C3×C23.F5φ: C12/C3C4 ⊆ Out C22×D51204(C2^2xD5).2C12480,293
(C22×D5).3C12 = C3×D101C8φ: C12/C6C2 ⊆ Out C22×D5240(C2^2xD5).3C12480,98
(C22×D5).4C12 = C6×C8⋊D5φ: C12/C6C2 ⊆ Out C22×D5240(C2^2xD5).4C12480,693
(C22×D5).5C12 = C3×D5×M4(2)φ: C12/C6C2 ⊆ Out C22×D51204(C2^2xD5).5C12480,699
(C22×D5).6C12 = C3×D10⋊C8φ: C12/C6C2 ⊆ Out C22×D5240(C2^2xD5).6C12480,283
(C22×D5).7C12 = C6×D5⋊C8φ: C12/C6C2 ⊆ Out C22×D5240(C2^2xD5).7C12480,1047
(C22×D5).8C12 = C6×C4.F5φ: C12/C6C2 ⊆ Out C22×D5240(C2^2xD5).8C12480,1048
(C22×D5).9C12 = C3×D5⋊M4(2)φ: C12/C6C2 ⊆ Out C22×D51204(C2^2xD5).9C12480,1049
(C22×D5).10C12 = D5×C2×C24φ: trivial image240(C2^2xD5).10C12480,692

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