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Extensions 1→N→G→Q→1 with N=C24×C4 and Q=C2

Direct product G=N×Q with N=C24×C4 and Q=C2
dρLabelID
C25×C4128C2^5xC4128,2319

Semidirect products G=N:Q with N=C24×C4 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C24×C4)⋊1C2 = C2×C23.23D4φ: C2/C1 → C2 ⊆ Aut C24×C464(C2^4xC4):1C2128,1019
(C24×C4)⋊2C2 = C4×C22≀C2φ: C2/C1 → C2 ⊆ Aut C24×C432(C2^4xC4):2C2128,1031
(C24×C4)⋊3C2 = C24.166D4φ: C2/C1 → C2 ⊆ Aut C24×C432(C2^4xC4):3C2128,1581
(C24×C4)⋊4C2 = C23×C22⋊C4φ: C2/C1 → C2 ⊆ Aut C24×C464(C2^4xC4):4C2128,2151
(C24×C4)⋊5C2 = D4×C22×C4φ: C2/C1 → C2 ⊆ Aut C24×C464(C2^4xC4):5C2128,2154
(C24×C4)⋊6C2 = C22×C22.D4φ: C2/C1 → C2 ⊆ Aut C24×C464(C2^4xC4):6C2128,2166
(C24×C4)⋊7C2 = C24⋊13D4φ: C2/C1 → C2 ⊆ Aut C24×C432(C2^4xC4):7C2128,1579
(C24×C4)⋊8C2 = C22×C4⋊D4φ: C2/C1 → C2 ⊆ Aut C24×C464(C2^4xC4):8C2128,2164
(C24×C4)⋊9C2 = C2×C22.19C24φ: C2/C1 → C2 ⊆ Aut C24×C432(C2^4xC4):9C2128,2167
(C24×C4)⋊10C2 = D4×C24φ: C2/C1 → C2 ⊆ Aut C24×C464(C2^4xC4):10C2128,2320
(C24×C4)⋊11C2 = C23×C4○D4φ: C2/C1 → C2 ⊆ Aut C24×C464(C2^4xC4):11C2128,2322

Non-split extensions G=N.Q with N=C24×C4 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C24×C4).1C2 = C24.17Q8φ: C2/C1 → C2 ⊆ Aut C24×C464(C2^4xC4).1C2128,165
(C24×C4).2C2 = C24⋊3C8φ: C2/C1 → C2 ⊆ Aut C24×C432(C2^4xC4).2C2128,511
(C24×C4).3C2 = C22×C2.C42φ: C2/C1 → C2 ⊆ Aut C24×C4128(C2^4xC4).3C2128,998
(C24×C4).4C2 = C2×C4×C22⋊C4φ: C2/C1 → C2 ⊆ Aut C24×C464(C2^4xC4).4C2128,1000
(C24×C4).5C2 = C2×C23.34D4φ: C2/C1 → C2 ⊆ Aut C24×C464(C2^4xC4).5C2128,1011
(C24×C4).6C2 = C2×C23.8Q8φ: C2/C1 → C2 ⊆ Aut C24×C464(C2^4xC4).6C2128,1018
(C24×C4).7C2 = C22×C22⋊C8φ: C2/C1 → C2 ⊆ Aut C24×C464(C2^4xC4).7C2128,1608
(C24×C4).8C2 = C23×C4⋊C4φ: C2/C1 → C2 ⊆ Aut C24×C4128(C2^4xC4).8C2128,2152
(C24×C4).9C2 = C2×C23.7Q8φ: C2/C1 → C2 ⊆ Aut C24×C464(C2^4xC4).9C2128,1010
(C24×C4).10C2 = C25.85C22φ: C2/C1 → C2 ⊆ Aut C24×C432(C2^4xC4).10C2128,1012
(C24×C4).11C2 = C24⋊8Q8φ: C2/C1 → C2 ⊆ Aut C24×C432(C2^4xC4).11C2128,1580
(C24×C4).12C2 = C2×C24.4C4φ: C2/C1 → C2 ⊆ Aut C24×C432(C2^4xC4).12C2128,1609
(C24×C4).13C2 = C22×C42⋊C2φ: C2/C1 → C2 ⊆ Aut C24×C464(C2^4xC4).13C2128,2153
(C24×C4).14C2 = C22×C22⋊Q8φ: C2/C1 → C2 ⊆ Aut C24×C464(C2^4xC4).14C2128,2165
(C24×C4).15C2 = C23×M4(2)φ: C2/C1 → C2 ⊆ Aut C24×C464(C2^4xC4).15C2128,2302
(C24×C4).16C2 = Q8×C24φ: C2/C1 → C2 ⊆ Aut C24×C4128(C2^4xC4).16C2128,2321

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