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

Direct product G=N×Q with N=C22 and Q=C24
dρLabelID
C24×C22352C2^4xC22352,195

Semidirect products G=N:Q with N=C22 and Q=C24
extensionφ:Q→Aut NdρLabelID
C22⋊C24 = C24×D11φ: C24/C23C2 ⊆ Aut C22176C22:C2^4352,194

Non-split extensions G=N.Q with N=C22 and Q=C24
extensionφ:Q→Aut NdρLabelID
C22.1C24 = C22×Dic22φ: C24/C23C2 ⊆ Aut C22352C22.1C2^4352,173
C22.2C24 = C22×C4×D11φ: C24/C23C2 ⊆ Aut C22176C22.2C2^4352,174
C22.3C24 = C22×D44φ: C24/C23C2 ⊆ Aut C22176C22.3C2^4352,175
C22.4C24 = C2×D445C2φ: C24/C23C2 ⊆ Aut C22176C22.4C2^4352,176
C22.5C24 = C2×D4×D11φ: C24/C23C2 ⊆ Aut C2288C22.5C2^4352,177
C22.6C24 = C2×D42D11φ: C24/C23C2 ⊆ Aut C22176C22.6C2^4352,178
C22.7C24 = D46D22φ: C24/C23C2 ⊆ Aut C22884C22.7C2^4352,179
C22.8C24 = C2×Q8×D11φ: C24/C23C2 ⊆ Aut C22176C22.8C2^4352,180
C22.9C24 = C2×D44⋊C2φ: C24/C23C2 ⊆ Aut C22176C22.9C2^4352,181
C22.10C24 = Q8.10D22φ: C24/C23C2 ⊆ Aut C221764C22.10C2^4352,182
C22.11C24 = C4○D4×D11φ: C24/C23C2 ⊆ Aut C22884C22.11C2^4352,183
C22.12C24 = D48D22φ: C24/C23C2 ⊆ Aut C22884+C22.12C2^4352,184
C22.13C24 = D4.10D22φ: C24/C23C2 ⊆ Aut C221764-C22.13C2^4352,185
C22.14C24 = C23×Dic11φ: C24/C23C2 ⊆ Aut C22352C22.14C2^4352,186
C22.15C24 = C22×C11⋊D4φ: C24/C23C2 ⊆ Aut C22176C22.15C2^4352,187
C22.16C24 = D4×C2×C22central extension (φ=1)176C22.16C2^4352,189
C22.17C24 = Q8×C2×C22central extension (φ=1)352C22.17C2^4352,190
C22.18C24 = C4○D4×C22central extension (φ=1)176C22.18C2^4352,191
C22.19C24 = C11×2+ 1+4central extension (φ=1)884C22.19C2^4352,192
C22.20C24 = C11×2- 1+4central extension (φ=1)1764C22.20C2^4352,193

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