# Extensions 1→N→G→Q→1 with N=C24 and Q=A4

Direct product G=N×Q with N=C24 and Q=A4
dρLabelID
A4×C2448A4xC2^4192,1539

Semidirect products G=N:Q with N=C24 and Q=A4
extensionφ:Q→Aut NdρLabelID
C241A4 = C2≀A4φ: A4/C1A4 ⊆ Aut C2484+C2^4:1A4192,201
C242A4 = C2×C24⋊C6φ: A4/C1A4 ⊆ Aut C24126+C2^4:2A4192,1000
C243A4 = C24⋊A4φ: A4/C1A4 ⊆ Aut C241612+C2^4:3A4192,1009
C244A4 = C42⋊A4φ: A4/C1A4 ⊆ Aut C241612+C2^4:4A4192,1023
C245A4 = C245A4φ: A4/C1A4 ⊆ Aut C2416C2^4:5A4192,1024
C246A4 = C2×C23⋊A4φ: A4/C1A4 ⊆ Aut C2416C2^4:6A4192,1508
C247A4 = C22×C22⋊A4φ: A4/C22C3 ⊆ Aut C2412C2^4:7A4192,1540
C248A4 = C26⋊C3φ: A4/C22C3 ⊆ Aut C2424C2^4:8A4192,1541

Non-split extensions G=N.Q with N=C24 and Q=A4
extensionφ:Q→Aut NdρLabelID
C24.1A4 = C24.A4φ: A4/C1A4 ⊆ Aut C24246C2^4.1A4192,195
C24.2A4 = C24.2A4φ: A4/C1A4 ⊆ Aut C24126+C2^4.2A4192,197
C24.3A4 = C24.3A4φ: A4/C1A4 ⊆ Aut C24246C2^4.3A4192,198
C24.4A4 = C2×C42⋊C6φ: A4/C1A4 ⊆ Aut C24246C2^4.4A4192,1001
C24.5A4 = C2×C23.A4φ: A4/C1A4 ⊆ Aut C24126+C2^4.5A4192,1002
C24.6A4 = C24.6A4φ: A4/C1A4 ⊆ Aut C241612+C2^4.6A4192,1008
C24.7A4 = C24.7A4φ: A4/C1A4 ⊆ Aut C2416C2^4.7A4192,1021
C24.8A4 = C2×C23.3A4φ: A4/C22C3 ⊆ Aut C2424C2^4.8A4192,189
C24.9A4 = C22×C42⋊C3φ: A4/C22C3 ⊆ Aut C2424C2^4.9A4192,992
C24.10A4 = C422A4φ: A4/C22C3 ⊆ Aut C2424C2^4.10A4192,1020
C24.11A4 = C2×Q8⋊A4φ: A4/C22C3 ⊆ Aut C2448C2^4.11A4192,1506
C24.12A4 = C23×SL2(𝔽3)central extension (φ=1)64C2^4.12A4192,1498

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