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Extensions 1→N→G→Q→1 with N=C22×C56 and Q=C2

Direct product G=N×Q with N=C22×C56 and Q=C2
dρLabelID
C23×C56448C2^3xC56448,1348

Semidirect products G=N:Q with N=C22×C56 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C22×C56)⋊1C2 = C2×D14⋊C8φ: C2/C1 → C2 ⊆ Aut C22×C56224(C2^2xC56):1C2448,642
(C22×C56)⋊2C2 = (C22×C8)⋊D7φ: C2/C1 → C2 ⊆ Aut C22×C56224(C2^2xC56):2C2448,644
(C22×C56)⋊3C2 = C2×C2.D56φ: C2/C1 → C2 ⊆ Aut C22×C56224(C2^2xC56):3C2448,646
(C22×C56)⋊4C2 = C23.23D28φ: C2/C1 → C2 ⊆ Aut C22×C56224(C2^2xC56):4C2448,647
(C22×C56)⋊5C2 = C14×C22⋊C8φ: C2/C1 → C2 ⊆ Aut C22×C56224(C2^2xC56):5C2448,814
(C22×C56)⋊6C2 = C7×(C22×C8)⋊C2φ: C2/C1 → C2 ⊆ Aut C22×C56224(C2^2xC56):6C2448,816
(C22×C56)⋊7C2 = C14×D4⋊C4φ: C2/C1 → C2 ⊆ Aut C22×C56224(C2^2xC56):7C2448,822
(C22×C56)⋊8C2 = C7×C23.24D4φ: C2/C1 → C2 ⊆ Aut C22×C56224(C2^2xC56):8C2448,824
(C22×C56)⋊9C2 = D4×C56φ: C2/C1 → C2 ⊆ Aut C22×C56224(C2^2xC56):9C2448,842
(C22×C56)⋊10C2 = C56⋊29D4φ: C2/C1 → C2 ⊆ Aut C22×C56224(C2^2xC56):10C2448,649
(C22×C56)⋊11C2 = C22×D56φ: C2/C1 → C2 ⊆ Aut C22×C56224(C2^2xC56):11C2448,1193
(C22×C56)⋊12C2 = C2×D56⋊7C2φ: C2/C1 → C2 ⊆ Aut C22×C56224(C2^2xC56):12C2448,1194
(C22×C56)⋊13C2 = C56⋊30D4φ: C2/C1 → C2 ⊆ Aut C22×C56224(C2^2xC56):13C2448,648
(C22×C56)⋊14C2 = C22×C56⋊C2φ: C2/C1 → C2 ⊆ Aut C22×C56224(C2^2xC56):14C2448,1192
(C22×C56)⋊15C2 = C8×C7⋊D4φ: C2/C1 → C2 ⊆ Aut C22×C56224(C2^2xC56):15C2448,643
(C22×C56)⋊16C2 = C56⋊32D4φ: C2/C1 → C2 ⊆ Aut C22×C56224(C2^2xC56):16C2448,645
(C22×C56)⋊17C2 = D7×C22×C8φ: C2/C1 → C2 ⊆ Aut C22×C56224(C2^2xC56):17C2448,1189
(C22×C56)⋊18C2 = C22×C8⋊D7φ: C2/C1 → C2 ⊆ Aut C22×C56224(C2^2xC56):18C2448,1190
(C22×C56)⋊19C2 = C2×D28.2C4φ: C2/C1 → C2 ⊆ Aut C22×C56224(C2^2xC56):19C2448,1191
(C22×C56)⋊20C2 = C7×C8⋊7D4φ: C2/C1 → C2 ⊆ Aut C22×C56224(C2^2xC56):20C2448,874
(C22×C56)⋊21C2 = D8×C2×C14φ: C2/C1 → C2 ⊆ Aut C22×C56224(C2^2xC56):21C2448,1352
(C22×C56)⋊22C2 = C14×C4○D8φ: C2/C1 → C2 ⊆ Aut C22×C56224(C2^2xC56):22C2448,1355
(C22×C56)⋊23C2 = C7×C8⋊8D4φ: C2/C1 → C2 ⊆ Aut C22×C56224(C2^2xC56):23C2448,873
(C22×C56)⋊24C2 = SD16×C2×C14φ: C2/C1 → C2 ⊆ Aut C22×C56224(C2^2xC56):24C2448,1353
(C22×C56)⋊25C2 = C7×C8⋊9D4φ: C2/C1 → C2 ⊆ Aut C22×C56224(C2^2xC56):25C2448,843
(C22×C56)⋊26C2 = M4(2)×C2×C14φ: C2/C1 → C2 ⊆ Aut C22×C56224(C2^2xC56):26C2448,1349
(C22×C56)⋊27C2 = C14×C8○D4φ: C2/C1 → C2 ⊆ Aut C22×C56224(C2^2xC56):27C2448,1350

Non-split extensions G=N.Q with N=C22×C56 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C22×C56).1C2 = (C2×C56)⋊5C4φ: C2/C1 → C2 ⊆ Aut C22×C56448(C2^2xC56).1C2448,107
(C22×C56).2C2 = C28.9C42φ: C2/C1 → C2 ⊆ Aut C22×C56448(C2^2xC56).2C2448,108
(C22×C56).3C2 = C28.10C42φ: C2/C1 → C2 ⊆ Aut C22×C56224(C2^2xC56).3C2448,109
(C22×C56).4C2 = C7×C22.7C42φ: C2/C1 → C2 ⊆ Aut C22×C56448(C2^2xC56).4C2448,140
(C22×C56).5C2 = C7×C22.4Q16φ: C2/C1 → C2 ⊆ Aut C22×C56448(C2^2xC56).5C2448,144
(C22×C56).6C2 = C7×C4.C42φ: C2/C1 → C2 ⊆ Aut C22×C56224(C2^2xC56).6C2448,145
(C22×C56).7C2 = C7×C22⋊C16φ: C2/C1 → C2 ⊆ Aut C22×C56224(C2^2xC56).7C2448,152
(C22×C56).8C2 = C2×Dic7⋊C8φ: C2/C1 → C2 ⊆ Aut C22×C56448(C2^2xC56).8C2448,633
(C22×C56).9C2 = Dic7⋊C8⋊C2φ: C2/C1 → C2 ⊆ Aut C22×C56224(C2^2xC56).9C2448,636
(C22×C56).10C2 = C2×C28.44D4φ: C2/C1 → C2 ⊆ Aut C22×C56448(C2^2xC56).10C2448,637
(C22×C56).11C2 = C14×Q8⋊C4φ: C2/C1 → C2 ⊆ Aut C22×C56448(C2^2xC56).11C2448,823
(C22×C56).12C2 = C14×C4⋊C8φ: C2/C1 → C2 ⊆ Aut C22×C56448(C2^2xC56).12C2448,830
(C22×C56).13C2 = C7×C42.6C22φ: C2/C1 → C2 ⊆ Aut C22×C56224(C2^2xC56).13C2448,832
(C22×C56).14C2 = C2×C56⋊1C4φ: C2/C1 → C2 ⊆ Aut C22×C56448(C2^2xC56).14C2448,639
(C22×C56).15C2 = C56.82D4φ: C2/C1 → C2 ⊆ Aut C22×C56224(C2^2xC56).15C2448,650
(C22×C56).16C2 = C22×Dic28φ: C2/C1 → C2 ⊆ Aut C22×C56448(C2^2xC56).16C2448,1195
(C22×C56).17C2 = C23.22D28φ: C2/C1 → C2 ⊆ Aut C22×C56224(C2^2xC56).17C2448,640
(C22×C56).18C2 = C2×C56.C4φ: C2/C1 → C2 ⊆ Aut C22×C56224(C2^2xC56).18C2448,641
(C22×C56).19C2 = C2×C8⋊Dic7φ: C2/C1 → C2 ⊆ Aut C22×C56448(C2^2xC56).19C2448,638
(C22×C56).20C2 = C56.91D4φ: C2/C1 → C2 ⊆ Aut C22×C56224(C2^2xC56).20C2448,106
(C22×C56).21C2 = C22×C7⋊C16φ: C2/C1 → C2 ⊆ Aut C22×C56448(C2^2xC56).21C2448,630
(C22×C56).22C2 = C2×C28.C8φ: C2/C1 → C2 ⊆ Aut C22×C56224(C2^2xC56).22C2448,631
(C22×C56).23C2 = C2×C8×Dic7φ: C2/C1 → C2 ⊆ Aut C22×C56448(C2^2xC56).23C2448,632
(C22×C56).24C2 = C2×C56⋊C4φ: C2/C1 → C2 ⊆ Aut C22×C56448(C2^2xC56).24C2448,634
(C22×C56).25C2 = C28.12C42φ: C2/C1 → C2 ⊆ Aut C22×C56224(C2^2xC56).25C2448,635
(C22×C56).26C2 = C14×C2.D8φ: C2/C1 → C2 ⊆ Aut C22×C56448(C2^2xC56).26C2448,834
(C22×C56).27C2 = C7×C8.18D4φ: C2/C1 → C2 ⊆ Aut C22×C56224(C2^2xC56).27C2448,875
(C22×C56).28C2 = Q16×C2×C14φ: C2/C1 → C2 ⊆ Aut C22×C56448(C2^2xC56).28C2448,1354
(C22×C56).29C2 = C7×C23.25D4φ: C2/C1 → C2 ⊆ Aut C22×C56224(C2^2xC56).29C2448,835
(C22×C56).30C2 = C14×C8.C4φ: C2/C1 → C2 ⊆ Aut C22×C56224(C2^2xC56).30C2448,837
(C22×C56).31C2 = C14×C4.Q8φ: C2/C1 → C2 ⊆ Aut C22×C56448(C2^2xC56).31C2448,833
(C22×C56).32C2 = C14×C8⋊C4φ: C2/C1 → C2 ⊆ Aut C22×C56448(C2^2xC56).32C2448,811
(C22×C56).33C2 = C7×C8○2M4(2)φ: C2/C1 → C2 ⊆ Aut C22×C56224(C2^2xC56).33C2448,813
(C22×C56).34C2 = C14×M5(2)φ: C2/C1 → C2 ⊆ Aut C22×C56224(C2^2xC56).34C2448,911

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