# Extensions 1→N→G→Q→1 with N=C112 and Q=C22

Direct product G=N×Q with N=C112 and Q=C22
dρLabelID
C22×C112448C2^2xC112448,910

Semidirect products G=N:Q with N=C112 and Q=C22
extensionφ:Q→Aut NdρLabelID
C1121C22 = C16⋊D14φ: C22/C1C22 ⊆ Aut C1121124+C112:1C2^2448,442
C1122C22 = D7×D16φ: C22/C1C22 ⊆ Aut C1121124+C112:2C2^2448,444
C1123C22 = D112⋊C2φ: C22/C1C22 ⊆ Aut C1121124+C112:3C2^2448,448
C1124C22 = D8⋊D14φ: C22/C1C22 ⊆ Aut C1121124C112:4C2^2448,445
C1125C22 = D7×SD32φ: C22/C1C22 ⊆ Aut C1121124C112:5C2^2448,447
C1126C22 = C7×C16⋊C22φ: C22/C1C22 ⊆ Aut C1121124C112:6C2^2448,917
C1127C22 = D7×M5(2)φ: C22/C1C22 ⊆ Aut C1121124C112:7C2^2448,440
C1128C22 = C2×D112φ: C22/C2C2 ⊆ Aut C112224C112:8C2^2448,436
C1129C22 = C2×C112⋊C2φ: C22/C2C2 ⊆ Aut C112224C112:9C2^2448,437
C11210C22 = C14×D16φ: C22/C2C2 ⊆ Aut C112224C112:10C2^2448,913
C11211C22 = D7×C2×C16φ: C22/C2C2 ⊆ Aut C112224C112:11C2^2448,433
C11212C22 = C2×C16⋊D7φ: C22/C2C2 ⊆ Aut C112224C112:12C2^2448,434
C11213C22 = C14×SD32φ: C22/C2C2 ⊆ Aut C112224C112:13C2^2448,914
C11214C22 = C14×M5(2)φ: C22/C2C2 ⊆ Aut C112224C112:14C2^2448,911

Non-split extensions G=N.Q with N=C112 and Q=C22
extensionφ:Q→Aut NdρLabelID
C112.1C22 = C16.D14φ: C22/C1C22 ⊆ Aut C1122244-C112.1C2^2448,443
C112.2C22 = C7⋊D32φ: C22/C1C22 ⊆ Aut C1122244+C112.2C2^2448,76
C112.3C22 = D16.D7φ: C22/C1C22 ⊆ Aut C1122244-C112.3C2^2448,77
C112.4C22 = C7⋊SD64φ: C22/C1C22 ⊆ Aut C1122244+C112.4C2^2448,78
C112.5C22 = C7⋊Q64φ: C22/C1C22 ⊆ Aut C1124484-C112.5C2^2448,79
C112.6C22 = D163D7φ: C22/C1C22 ⊆ Aut C1122244-C112.6C2^2448,446
C112.7C22 = D7×Q32φ: C22/C1C22 ⊆ Aut C1122244-C112.7C2^2448,451
C112.8C22 = Q323D7φ: C22/C1C22 ⊆ Aut C1122244+C112.8C2^2448,453
C112.9C22 = SD32⋊D7φ: C22/C1C22 ⊆ Aut C1122244-C112.9C2^2448,449
C112.10C22 = Q32⋊D7φ: C22/C1C22 ⊆ Aut C1122244C112.10C2^2448,452
C112.11C22 = SD323D7φ: C22/C1C22 ⊆ Aut C1122244C112.11C2^2448,450
C112.12C22 = C7×Q32⋊C2φ: C22/C1C22 ⊆ Aut C1122244C112.12C2^2448,918
C112.13C22 = C16.12D14φ: C22/C1C22 ⊆ Aut C1122244C112.13C2^2448,441
C112.14C22 = D224φ: C22/C2C2 ⊆ Aut C1122242+C112.14C2^2448,5
C112.15C22 = C224⋊C2φ: C22/C2C2 ⊆ Aut C1122242C112.15C2^2448,6
C112.16C22 = Dic112φ: C22/C2C2 ⊆ Aut C1124482-C112.16C2^2448,7
C112.17C22 = C2×Dic56φ: C22/C2C2 ⊆ Aut C112448C112.17C2^2448,439
C112.18C22 = D1127C2φ: C22/C2C2 ⊆ Aut C1122242C112.18C2^2448,438
C112.19C22 = C7×D32φ: C22/C2C2 ⊆ Aut C1122242C112.19C2^2448,175
C112.20C22 = C7×SD64φ: C22/C2C2 ⊆ Aut C1122242C112.20C2^2448,176
C112.21C22 = C7×Q64φ: C22/C2C2 ⊆ Aut C1124482C112.21C2^2448,177
C112.22C22 = C14×Q32φ: C22/C2C2 ⊆ Aut C112448C112.22C2^2448,915
C112.23C22 = C7×C4○D16φ: C22/C2C2 ⊆ Aut C1122242C112.23C2^2448,916
C112.24C22 = D7×C32φ: C22/C2C2 ⊆ Aut C1122242C112.24C2^2448,3
C112.25C22 = C32⋊D7φ: C22/C2C2 ⊆ Aut C1122242C112.25C2^2448,4
C112.26C22 = C2×C7⋊C32φ: C22/C2C2 ⊆ Aut C112448C112.26C2^2448,55
C112.27C22 = C7⋊M6(2)φ: C22/C2C2 ⊆ Aut C1122242C112.27C2^2448,56
C112.28C22 = D28.4C8φ: C22/C2C2 ⊆ Aut C1122242C112.28C2^2448,435
C112.29C22 = C7×D4○C16φ: C22/C2C2 ⊆ Aut C1122242C112.29C2^2448,912
C112.30C22 = C7×M6(2)central extension (φ=1)2242C112.30C2^2448,174

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