Extensions 1→N→G→Q→1 with N=D7xC24 and Q=C2

Direct product G=NxQ with N=D7xC24 and Q=C2
dρLabelID
D7xC25224D7xC2^5448,1395

Semidirect products G=N:Q with N=D7xC24 and Q=C2
extensionφ:Q→Out NdρLabelID
(D7xC24):1C2 = C2xC22:D28φ: C2/C1C2 ⊆ Out D7xC24112(D7xC2^4):1C2448,940
(D7xC24):2C2 = D7xC22wrC2φ: C2/C1C2 ⊆ Out D7xC2456(D7xC2^4):2C2448,1041
(D7xC24):3C2 = C2xC23:D14φ: C2/C1C2 ⊆ Out D7xC24112(D7xC2^4):3C2448,1252
(D7xC24):4C2 = C23xD28φ: C2/C1C2 ⊆ Out D7xC24224(D7xC2^4):4C2448,1367
(D7xC24):5C2 = C22xD4xD7φ: C2/C1C2 ⊆ Out D7xC24112(D7xC2^4):5C2448,1369
(D7xC24):6C2 = C23xC7:D4φ: C2/C1C2 ⊆ Out D7xC24224(D7xC2^4):6C2448,1384

Non-split extensions G=N.Q with N=D7xC24 and Q=C2
extensionφ:Q→Out NdρLabelID
(D7xC24).1C2 = C23.44D28φ: C2/C1C2 ⊆ Out D7xC24112(D7xC2^4).1C2448,489
(D7xC24).2C2 = C2xD7xC22:C4φ: C2/C1C2 ⊆ Out D7xC24112(D7xC2^4).2C2448,937
(D7xC24).3C2 = C22xD14:C4φ: C2/C1C2 ⊆ Out D7xC24224(D7xC2^4).3C2448,1240
(D7xC24).4C2 = D7xC23xC4φ: trivial image224(D7xC2^4).4C2448,1366

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