Extensions 1→N→G→Q→1 with N=C9×M4(2) and Q=C2

Direct product G=N×Q with N=C9×M4(2) and Q=C2
dρLabelID
M4(2)×C18144M4(2)xC18288,180

Semidirect products G=N:Q with N=C9×M4(2) and Q=C2
extensionφ:Q→Out NdρLabelID
(C9×M4(2))⋊1C2 = C8⋊D18φ: C2/C1C2 ⊆ Out C9×M4(2)724+(C9xM4(2)):1C2288,118
(C9×M4(2))⋊2C2 = C8.D18φ: C2/C1C2 ⊆ Out C9×M4(2)1444-(C9xM4(2)):2C2288,119
(C9×M4(2))⋊3C2 = M4(2)×D9φ: C2/C1C2 ⊆ Out C9×M4(2)724(C9xM4(2)):3C2288,116
(C9×M4(2))⋊4C2 = D36.C4φ: C2/C1C2 ⊆ Out C9×M4(2)1444(C9xM4(2)):4C2288,117
(C9×M4(2))⋊5C2 = C9×C8⋊C22φ: C2/C1C2 ⊆ Out C9×M4(2)724(C9xM4(2)):5C2288,186
(C9×M4(2))⋊6C2 = C9×C8.C22φ: C2/C1C2 ⊆ Out C9×M4(2)1444(C9xM4(2)):6C2288,187
(C9×M4(2))⋊7C2 = C36.48D4φ: C2/C1C2 ⊆ Out C9×M4(2)724+(C9xM4(2)):7C2288,31
(C9×M4(2))⋊8C2 = Dic18⋊C4φ: C2/C1C2 ⊆ Out C9×M4(2)724(C9xM4(2)):8C2288,32
(C9×M4(2))⋊9C2 = C9×C4.D4φ: C2/C1C2 ⊆ Out C9×M4(2)724(C9xM4(2)):9C2288,50
(C9×M4(2))⋊10C2 = C9×C4≀C2φ: C2/C1C2 ⊆ Out C9×M4(2)722(C9xM4(2)):10C2288,54
(C9×M4(2))⋊11C2 = C9×C8○D4φ: trivial image1442(C9xM4(2)):11C2288,181

Non-split extensions G=N.Q with N=C9×M4(2) and Q=C2
extensionφ:Q→Out NdρLabelID
(C9×M4(2)).1C2 = C36.53D4φ: C2/C1C2 ⊆ Out C9×M4(2)1444(C9xM4(2)).1C2288,29
(C9×M4(2)).2C2 = C4.D36φ: C2/C1C2 ⊆ Out C9×M4(2)1444-(C9xM4(2)).2C2288,30
(C9×M4(2)).3C2 = C9×C4.10D4φ: C2/C1C2 ⊆ Out C9×M4(2)1444(C9xM4(2)).3C2288,51
(C9×M4(2)).4C2 = C9×C8.C4φ: C2/C1C2 ⊆ Out C9×M4(2)1442(C9xM4(2)).4C2288,58

׿
×
𝔽