Extensions 1→N→G→Q→1 with N=C24 and Q=C8

Direct product G=N×Q with N=C24 and Q=C8
dρLabelID
C8×C24192C8xC24192,127

Semidirect products G=N:Q with N=C24 and Q=C8
extensionφ:Q→Aut NdρLabelID
C241C8 = C241C8φ: C8/C4C2 ⊆ Aut C24192C24:1C8192,17
C242C8 = C242C8φ: C8/C4C2 ⊆ Aut C24192C24:2C8192,16
C243C8 = C3×C81C8φ: C8/C4C2 ⊆ Aut C24192C24:3C8192,141
C244C8 = C8×C3⋊C8φ: C8/C4C2 ⊆ Aut C24192C24:4C8192,12
C245C8 = C24⋊C8φ: C8/C4C2 ⊆ Aut C24192C24:5C8192,14
C246C8 = C3×C82C8φ: C8/C4C2 ⊆ Aut C24192C24:6C8192,140
C247C8 = C3×C8⋊C8φ: C8/C4C2 ⊆ Aut C24192C24:7C8192,128

Non-split extensions G=N.Q with N=C24 and Q=C8
extensionφ:Q→Aut NdρLabelID
C24.1C8 = C24.1C8φ: C8/C4C2 ⊆ Aut C24482C24.1C8192,22
C24.2C8 = C3⋊C64φ: C8/C4C2 ⊆ Aut C241922C24.2C8192,1
C24.3C8 = C4×C3⋊C16φ: C8/C4C2 ⊆ Aut C24192C24.3C8192,19
C24.4C8 = C24.C8φ: C8/C4C2 ⊆ Aut C24192C24.4C8192,20
C24.5C8 = C2×C3⋊C32φ: C8/C4C2 ⊆ Aut C24192C24.5C8192,57
C24.6C8 = C3⋊M6(2)φ: C8/C4C2 ⊆ Aut C24962C24.6C8192,58
C24.7C8 = C3×C8.C8φ: C8/C4C2 ⊆ Aut C24482C24.7C8192,170
C24.8C8 = C3×C165C4φ: C8/C4C2 ⊆ Aut C24192C24.8C8192,152
C24.9C8 = C3×M6(2)φ: C8/C4C2 ⊆ Aut C24962C24.9C8192,176

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