# Extensions 1→N→G→Q→1 with N=C24⋊C2 and Q=C22

Direct product G=N×Q with N=C24⋊C2 and Q=C22
dρLabelID
C22×C24⋊C296C2^2xC24:C2192,1298

Semidirect products G=N:Q with N=C24⋊C2 and Q=C22
extensionφ:Q→Out NdρLabelID
C24⋊C21C22 = S3×C8⋊C22φ: C22/C1C22 ⊆ Out C24⋊C2248+C24:C2:1C2^2192,1331
C24⋊C22C22 = D84D6φ: C22/C1C22 ⊆ Out C24⋊C2488-C24:C2:2C2^2192,1332
C24⋊C23C22 = D85D6φ: C22/C1C22 ⊆ Out C24⋊C2488+C24:C2:3C2^2192,1333
C24⋊C24C22 = D86D6φ: C22/C1C22 ⊆ Out C24⋊C2488-C24:C2:4C2^2192,1334
C24⋊C25C22 = S3×C8.C22φ: C22/C1C22 ⊆ Out C24⋊C2488-C24:C2:5C2^2192,1335
C24⋊C26C22 = D24⋊C22φ: C22/C1C22 ⊆ Out C24⋊C2488+C24:C2:6C2^2192,1336
C24⋊C27C22 = C24.C23φ: C22/C1C22 ⊆ Out C24⋊C2488+C24:C2:7C2^2192,1337
C24⋊C28C22 = C2×C8⋊D6φ: C22/C2C2 ⊆ Out C24⋊C248C24:C2:8C2^2192,1305
C24⋊C29C22 = C2×C8.D6φ: C22/C2C2 ⊆ Out C24⋊C296C24:C2:9C2^2192,1306
C24⋊C210C22 = C24.9C23φ: C22/C2C2 ⊆ Out C24⋊C2484C24:C2:10C2^2192,1307
C24⋊C211C22 = D4.11D12φ: C22/C2C2 ⊆ Out C24⋊C2484C24:C2:11C2^2192,1310
C24⋊C212C22 = D4.12D12φ: C22/C2C2 ⊆ Out C24⋊C2484+C24:C2:12C2^2192,1311
C24⋊C213C22 = C2×D8⋊S3φ: C22/C2C2 ⊆ Out C24⋊C248C24:C2:13C2^2192,1314
C24⋊C214C22 = D813D6φ: C22/C2C2 ⊆ Out C24⋊C2484C24:C2:14C2^2192,1316
C24⋊C215C22 = C2×Q16⋊S3φ: C22/C2C2 ⊆ Out C24⋊C296C24:C2:15C2^2192,1323
C24⋊C216C22 = SD16⋊D6φ: C22/C2C2 ⊆ Out C24⋊C2484C24:C2:16C2^2192,1327
C24⋊C217C22 = C2×S3×SD16φ: C22/C2C2 ⊆ Out C24⋊C248C24:C2:17C2^2192,1317
C24⋊C218C22 = C2×Q8.7D6φ: C22/C2C2 ⊆ Out C24⋊C296C24:C2:18C2^2192,1320
C24⋊C219C22 = SD1613D6φ: C22/C2C2 ⊆ Out C24⋊C2484C24:C2:19C2^2192,1321
C24⋊C220C22 = S3×C4○D8φ: C22/C2C2 ⊆ Out C24⋊C2484C24:C2:20C2^2192,1326
C24⋊C221C22 = D811D6φ: C22/C2C2 ⊆ Out C24⋊C2484C24:C2:21C2^2192,1329
C24⋊C222C22 = C2×C4○D24φ: trivial image96C24:C2:22C2^2192,1300

Non-split extensions G=N.Q with N=C24⋊C2 and Q=C22
extensionφ:Q→Out NdρLabelID
C24⋊C2.C22 = SD16.D6φ: C22/C1C22 ⊆ Out C24⋊C2968-C24:C2.C2^2192,1338
C24⋊C2.2C22 = D4.13D12φ: C22/C2C2 ⊆ Out C24⋊C2964-C24:C2.2C2^2192,1312
C24⋊C2.3C22 = D12.30D4φ: C22/C2C2 ⊆ Out C24⋊C2964C24:C2.3C2^2192,1325

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