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Extensions 1→N→G→Q→1 with N=C44 and Q=C22

Direct product G=N×Q with N=C44 and Q=C22
dρLabelID
C22×C44176C2^2xC44176,37

Semidirect products G=N:Q with N=C44 and Q=C22
extensionφ:Q→Aut NdρLabelID
C44⋊C22 = D4×D11φ: C22/C1 → C22 ⊆ Aut C44444+C44:C2^2176,31
C44⋊2C22 = C2×D44φ: C22/C2 → C2 ⊆ Aut C4488C44:2C2^2176,29
C44⋊3C22 = C2×C4×D11φ: C22/C2 → C2 ⊆ Aut C4488C44:3C2^2176,28
C44⋊4C22 = D4×C22φ: C22/C2 → C2 ⊆ Aut C4488C44:4C2^2176,38

Non-split extensions G=N.Q with N=C44 and Q=C22
extensionφ:Q→Aut NdρLabelID
C44.1C22 = D4⋊D11φ: C22/C1 → C22 ⊆ Aut C44884+C44.1C2^2176,14
C44.2C22 = D4.D11φ: C22/C1 → C22 ⊆ Aut C44884-C44.2C2^2176,15
C44.3C22 = Q8⋊D11φ: C22/C1 → C22 ⊆ Aut C44884+C44.3C2^2176,16
C44.4C22 = C11⋊Q16φ: C22/C1 → C22 ⊆ Aut C441764-C44.4C2^2176,17
C44.5C22 = D4⋊2D11φ: C22/C1 → C22 ⊆ Aut C44884-C44.5C2^2176,32
C44.6C22 = Q8×D11φ: C22/C1 → C22 ⊆ Aut C44884-C44.6C2^2176,33
C44.7C22 = D44⋊C2φ: C22/C1 → C22 ⊆ Aut C44884+C44.7C2^2176,34
C44.8C22 = C8⋊D11φ: C22/C2 → C2 ⊆ Aut C44882C44.8C2^2176,5
C44.9C22 = D88φ: C22/C2 → C2 ⊆ Aut C44882+C44.9C2^2176,6
C44.10C22 = Dic44φ: C22/C2 → C2 ⊆ Aut C441762-C44.10C2^2176,7
C44.11C22 = C2×Dic22φ: C22/C2 → C2 ⊆ Aut C44176C44.11C2^2176,27
C44.12C22 = C8×D11φ: C22/C2 → C2 ⊆ Aut C44882C44.12C2^2176,3
C44.13C22 = C88⋊C2φ: C22/C2 → C2 ⊆ Aut C44882C44.13C2^2176,4
C44.14C22 = C2×C11⋊C8φ: C22/C2 → C2 ⊆ Aut C44176C44.14C2^2176,8
C44.15C22 = C44.C4φ: C22/C2 → C2 ⊆ Aut C44882C44.15C2^2176,9
C44.16C22 = D44⋊5C2φ: C22/C2 → C2 ⊆ Aut C44882C44.16C2^2176,30
C44.17C22 = C11×D8φ: C22/C2 → C2 ⊆ Aut C44882C44.17C2^2176,24
C44.18C22 = C11×SD16φ: C22/C2 → C2 ⊆ Aut C44882C44.18C2^2176,25
C44.19C22 = C11×Q16φ: C22/C2 → C2 ⊆ Aut C441762C44.19C2^2176,26
C44.20C22 = Q8×C22φ: C22/C2 → C2 ⊆ Aut C44176C44.20C2^2176,39
C44.21C22 = C11×C4○D4φ: C22/C2 → C2 ⊆ Aut C44882C44.21C2^2176,40
C44.22C22 = C11×M4(2)central extension (φ=1)882C44.22C2^2176,23

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