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Extensions 1→N→G→Q→1 with N=C2×C8 and Q=C28

Direct product G=N×Q with N=C2×C8 and Q=C28
dρLabelID
C2×C4×C56448C2xC4xC56448,810

Semidirect products G=N:Q with N=C2×C8 and Q=C28
extensionφ:Q→Aut NdρLabelID
(C2×C8)⋊1C28 = C7×C4.9C42φ: C28/C7 → C4 ⊆ Aut C2×C81124(C2xC8):1C28448,141
(C2×C8)⋊2C28 = C7×M4(2)⋊4C4φ: C28/C7 → C4 ⊆ Aut C2×C81124(C2xC8):2C28448,148
(C2×C8)⋊3C28 = C7×C22.7C42φ: C28/C14 → C2 ⊆ Aut C2×C8448(C2xC8):3C28448,140
(C2×C8)⋊4C28 = C7×C22.4Q16φ: C28/C14 → C2 ⊆ Aut C2×C8448(C2xC8):4C28448,144
(C2×C8)⋊5C28 = C14×C2.D8φ: C28/C14 → C2 ⊆ Aut C2×C8448(C2xC8):5C28448,834
(C2×C8)⋊6C28 = C7×C23.25D4φ: C28/C14 → C2 ⊆ Aut C2×C8224(C2xC8):6C28448,835
(C2×C8)⋊7C28 = C14×C4.Q8φ: C28/C14 → C2 ⊆ Aut C2×C8448(C2xC8):7C28448,833
(C2×C8)⋊8C28 = C14×C8⋊C4φ: C28/C14 → C2 ⊆ Aut C2×C8448(C2xC8):8C28448,811
(C2×C8)⋊9C28 = C7×C8○2M4(2)φ: C28/C14 → C2 ⊆ Aut C2×C8224(C2xC8):9C28448,813

Non-split extensions G=N.Q with N=C2×C8 and Q=C28
extensionφ:Q→Aut NdρLabelID
(C2×C8).1C28 = C7×C4.10C42φ: C28/C7 → C4 ⊆ Aut C2×C81124(C2xC8).1C28448,142
(C2×C8).2C28 = C7×C16⋊C4φ: C28/C7 → C4 ⊆ Aut C2×C81124(C2xC8).2C28448,151
(C2×C8).3C28 = C7×C23.C8φ: C28/C7 → C4 ⊆ Aut C2×C81124(C2xC8).3C28448,153
(C2×C8).4C28 = C7×C8⋊C8φ: C28/C14 → C2 ⊆ Aut C2×C8448(C2xC8).4C28448,126
(C2×C8).5C28 = C7×C4.C42φ: C28/C14 → C2 ⊆ Aut C2×C8224(C2xC8).5C28448,145
(C2×C8).6C28 = C7×C22⋊C16φ: C28/C14 → C2 ⊆ Aut C2×C8224(C2xC8).6C28448,152
(C2×C8).7C28 = C7×C4⋊C16φ: C28/C14 → C2 ⊆ Aut C2×C8448(C2xC8).7C28448,167
(C2×C8).8C28 = C7×C8⋊1C8φ: C28/C14 → C2 ⊆ Aut C2×C8448(C2xC8).8C28448,139
(C2×C8).9C28 = C7×C8.C8φ: C28/C14 → C2 ⊆ Aut C2×C81122(C2xC8).9C28448,168
(C2×C8).10C28 = C7×C8⋊2C8φ: C28/C14 → C2 ⊆ Aut C2×C8448(C2xC8).10C28448,138
(C2×C8).11C28 = C14×C8.C4φ: C28/C14 → C2 ⊆ Aut C2×C8224(C2xC8).11C28448,837
(C2×C8).12C28 = C7×C16⋊5C4φ: C28/C14 → C2 ⊆ Aut C2×C8448(C2xC8).12C28448,150
(C2×C8).13C28 = C7×M6(2)φ: C28/C14 → C2 ⊆ Aut C2×C82242(C2xC8).13C28448,174
(C2×C8).14C28 = C14×M5(2)φ: C28/C14 → C2 ⊆ Aut C2×C8224(C2xC8).14C28448,911

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