Extensions 1→N→G→Q→1 with N=C32xC9 and Q=C3

Direct product G=NxQ with N=C32xC9 and Q=C3
dρLabelID
C33xC9243C3^3xC9243,61

Semidirect products G=N:Q with N=C32xC9 and Q=C3
extensionφ:Q→Aut NdρLabelID
(C32xC9):1C3 = He3:C9φ: C3/C1C3 ⊆ Aut C32xC981(C3^2xC9):1C3243,17
(C32xC9):2C3 = C3xC32:C9φ: C3/C1C3 ⊆ Aut C32xC981(C3^2xC9):2C3243,32
(C32xC9):3C3 = C9xHe3φ: C3/C1C3 ⊆ Aut C32xC981(C3^2xC9):3C3243,35
(C32xC9):4C3 = C32.23C33φ: C3/C1C3 ⊆ Aut C32xC981(C3^2xC9):4C3243,40
(C32xC9):5C3 = C3xHe3.C3φ: C3/C1C3 ⊆ Aut C32xC981(C3^2xC9):5C3243,52
(C32xC9):6C3 = C3xHe3:C3φ: C3/C1C3 ⊆ Aut C32xC981(C3^2xC9):6C3243,53
(C32xC9):7C3 = C9:He3φ: C3/C1C3 ⊆ Aut C32xC981(C3^2xC9):7C3243,39
(C32xC9):8C3 = C9.He3φ: C3/C1C3 ⊆ Aut C32xC9273(C3^2xC9):8C3243,55
(C32xC9):9C3 = C32x3- 1+2φ: C3/C1C3 ⊆ Aut C32xC981(C3^2xC9):9C3243,63
(C32xC9):10C3 = C3xC9oHe3φ: C3/C1C3 ⊆ Aut C32xC981(C3^2xC9):10C3243,64

Non-split extensions G=N.Q with N=C32xC9 and Q=C3
extensionφ:Q→Aut NdρLabelID
(C32xC9).1C3 = C3.C92φ: C3/C1C3 ⊆ Aut C32xC9243(C3^2xC9).1C3243,2
(C32xC9).2C3 = C32:C27φ: C3/C1C3 ⊆ Aut C32xC981(C3^2xC9).2C3243,12
(C32xC9).3C3 = C32.19He3φ: C3/C1C3 ⊆ Aut C32xC981(C3^2xC9).3C3243,14
(C32xC9).4C3 = C32.20He3φ: C3/C1C3 ⊆ Aut C32xC981(C3^2xC9).4C3243,15
(C32xC9).5C3 = 3- 1+2:C9φ: C3/C1C3 ⊆ Aut C32xC981(C3^2xC9).5C3243,18
(C32xC9).6C3 = C9x3- 1+2φ: C3/C1C3 ⊆ Aut C32xC981(C3^2xC9).6C3243,36
(C32xC9).7C3 = C33.31C32φ: C3/C1C3 ⊆ Aut C32xC981(C3^2xC9).7C3243,42
(C32xC9).8C3 = C3xC3.He3φ: C3/C1C3 ⊆ Aut C32xC981(C3^2xC9).8C3243,54
(C32xC9).9C3 = C9.4He3φ: C3/C1C3 ⊆ Aut C32xC9273(C3^2xC9).9C3243,16
(C32xC9).10C3 = C3xC9:C9φ: C3/C1C3 ⊆ Aut C32xC9243(C3^2xC9).10C3243,33
(C32xC9).11C3 = C92:3C3φ: C3/C1C3 ⊆ Aut C32xC981(C3^2xC9).11C3243,34
(C32xC9).12C3 = C9:3- 1+2φ: C3/C1C3 ⊆ Aut C32xC981(C3^2xC9).12C3243,41
(C32xC9).13C3 = C3xC27:C3φ: C3/C1C3 ⊆ Aut C32xC981(C3^2xC9).13C3243,49

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