# Extensions 1→N→G→Q→1 with N=C24 and Q=C12

Direct product G=N×Q with N=C24 and Q=C12
dρLabelID
C24×C12192C2^4xC12192,1530

Semidirect products G=N:Q with N=C24 and Q=C12
extensionφ:Q→Aut NdρLabelID
C241C12 = C24⋊C12φ: C12/C2C6 ⊆ Aut C24126+C2^4:1C12192,191
C242C12 = A4×C22⋊C4φ: C12/C2C6 ⊆ Aut C2424C2^4:2C12192,994
C243C12 = C3×C2≀C4φ: C12/C3C4 ⊆ Aut C24244C2^4:3C12192,157
C244C12 = C6×C23⋊C4φ: C12/C3C4 ⊆ Aut C2448C2^4:4C12192,842
C245C12 = A4×C22×C4φ: C12/C4C3 ⊆ Aut C2448C2^4:5C12192,1496
C246C12 = C4×C22⋊A4φ: C12/C4C3 ⊆ Aut C2424C2^4:6C12192,1505
C247C12 = C3×C243C4φ: C12/C6C2 ⊆ Aut C2448C2^4:7C12192,812
C248C12 = C2×C6×C22⋊C4φ: C12/C6C2 ⊆ Aut C2496C2^4:8C12192,1401

Non-split extensions G=N.Q with N=C24 and Q=C12
extensionφ:Q→Aut NdρLabelID
C24.C12 = A4×M4(2)φ: C12/C2C6 ⊆ Aut C24246C2^4.C12192,1011
C24.2C12 = C3×C23⋊C8φ: C12/C3C4 ⊆ Aut C2448C2^4.2C12192,129
C24.3C12 = C6×C4.D4φ: C12/C3C4 ⊆ Aut C2448C2^4.3C12192,844
C24.4C12 = A4×C2×C8φ: C12/C4C3 ⊆ Aut C2448C2^4.4C12192,1010
C24.5C12 = C6×C22⋊C8φ: C12/C6C2 ⊆ Aut C2496C2^4.5C12192,839
C24.6C12 = C3×C24.4C4φ: C12/C6C2 ⊆ Aut C2448C2^4.6C12192,840
C24.7C12 = C2×C6×M4(2)φ: C12/C6C2 ⊆ Aut C2496C2^4.7C12192,1455

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