# Extensions 1→N→G→Q→1 with N=C2×A4 and Q=C23

Direct product G=N×Q with N=C2×A4 and Q=C23
dρLabelID
A4×C2448A4xC2^4192,1539

Semidirect products G=N:Q with N=C2×A4 and Q=C23
extensionφ:Q→Out NdρLabelID
(C2×A4)⋊C23 = C23×S4φ: C23/C22C2 ⊆ Out C2×A424(C2xA4):C2^3192,1537

Non-split extensions G=N.Q with N=C2×A4 and Q=C23
extensionφ:Q→Out NdρLabelID
(C2×A4).1C23 = C2×A4⋊Q8φ: C23/C22C2 ⊆ Out C2×A448(C2xA4).1C2^3192,1468
(C2×A4).2C23 = C2×C4×S4φ: C23/C22C2 ⊆ Out C2×A424(C2xA4).2C2^3192,1469
(C2×A4).3C23 = C2×C4⋊S4φ: C23/C22C2 ⊆ Out C2×A424(C2xA4).3C2^3192,1470
(C2×A4).4C23 = C24.10D6φ: C23/C22C2 ⊆ Out C2×A4246(C2xA4).4C2^3192,1471
(C2×A4).5C23 = D4×S4φ: C23/C22C2 ⊆ Out C2×A4126+(C2xA4).5C2^3192,1472
(C2×A4).6C23 = D42S4φ: C23/C22C2 ⊆ Out C2×A4246(C2xA4).6C2^3192,1473
(C2×A4).7C23 = Q8×S4φ: C23/C22C2 ⊆ Out C2×A4246-(C2xA4).7C2^3192,1477
(C2×A4).8C23 = Q84S4φ: C23/C22C2 ⊆ Out C2×A4246(C2xA4).8C2^3192,1478
(C2×A4).9C23 = C22×A4⋊C4φ: C23/C22C2 ⊆ Out C2×A448(C2xA4).9C2^3192,1487
(C2×A4).10C23 = C2×A4⋊D4φ: C23/C22C2 ⊆ Out C2×A424(C2xA4).10C2^3192,1488
(C2×A4).11C23 = A4×C22×C4φ: trivial image48(C2xA4).11C2^3192,1496
(C2×A4).12C23 = C2×D4×A4φ: trivial image24(C2xA4).12C2^3192,1497
(C2×A4).13C23 = C2×Q8×A4φ: trivial image48(C2xA4).13C2^3192,1499
(C2×A4).14C23 = A4×C4○D4φ: trivial image246(C2xA4).14C2^3192,1501

׿
×
𝔽