# Extensions 1→N→G→Q→1 with N=D7×C24 and Q=C2

Direct product G=N×Q with N=D7×C24 and Q=C2
dρLabelID
D7×C25224D7xC2^5448,1395

Semidirect products G=N:Q with N=D7×C24 and Q=C2
extensionφ:Q→Out NdρLabelID
(D7×C24)⋊1C2 = C2×C22⋊D28φ: C2/C1C2 ⊆ Out D7×C24112(D7xC2^4):1C2448,940
(D7×C24)⋊2C2 = D7×C22≀C2φ: C2/C1C2 ⊆ Out D7×C2456(D7xC2^4):2C2448,1041
(D7×C24)⋊3C2 = C2×C23⋊D14φ: C2/C1C2 ⊆ Out D7×C24112(D7xC2^4):3C2448,1252
(D7×C24)⋊4C2 = C23×D28φ: C2/C1C2 ⊆ Out D7×C24224(D7xC2^4):4C2448,1367
(D7×C24)⋊5C2 = C22×D4×D7φ: C2/C1C2 ⊆ Out D7×C24112(D7xC2^4):5C2448,1369
(D7×C24)⋊6C2 = C23×C7⋊D4φ: C2/C1C2 ⊆ Out D7×C24224(D7xC2^4):6C2448,1384

Non-split extensions G=N.Q with N=D7×C24 and Q=C2
extensionφ:Q→Out NdρLabelID
(D7×C24).1C2 = C23.44D28φ: C2/C1C2 ⊆ Out D7×C24112(D7xC2^4).1C2448,489
(D7×C24).2C2 = C2×D7×C22⋊C4φ: C2/C1C2 ⊆ Out D7×C24112(D7xC2^4).2C2448,937
(D7×C24).3C2 = C22×D14⋊C4φ: C2/C1C2 ⊆ Out D7×C24224(D7xC2^4).3C2448,1240
(D7×C24).4C2 = D7×C23×C4φ: trivial image224(D7xC2^4).4C2448,1366

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