Subgroups — C₃×#89137⋊C₃ #16841007

Order 3924.

36 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×D₁₀₉⋊C₃	C₂	1	1	yes	maximal, characteristic
2	C₃×#89137	C₃	1	1	yes	maximal, characteristic, complemented
3	#89137⋊C₃	C₃	1	3	yes	maximal, direct product factor
4	C₃×C₁₀₉⋊C₃	C₄	1	1	yes	characteristic, complemented, Hall
5	C₃×D₁₀₉	C₂×C₃	1	1	yes	characteristic
6	D₁₀₉⋊C₃	C₂×C₃	1	3	yes	—
7	#89137	C₃²	1	1	yes	characteristic, complemented, Hall
8	C₃×C₁₀₉	C₃×C₄	1	1	yes	characteristic, complemented
9	C₁₀₉⋊C₃	C₃×C₄	1	3	yes	complemented
10	D₁₀₉	C₂×C₃²	1	1	yes	characteristic
11	C₁₀₉	C₃²×C₄	1	1	yes	characteristic, complemented, Sylow
12	C₃²×C₄	—	109	1	no	maximal, Hall
13	C₂×C₃²	—	109	1	no	—
14	C₃×C₄	—	109	3	no	—
15	C₃×C₄	—	109	1	no	—
16	C₃²	—	109	1	no	Sylow
17	C₂×C₃	—	109	3	no	—
18	C₂×C₃	—	109	1	no	—
19	C₄	—	109	1	no	Sylow
20	C₃	—	109	3	no	—
21	C₃	#89137⋊C₃	1	1	yes	characteristic, direct product factor
22	C₂	—	109	1	no	—

Splittings G = N ⋊ H with N normal; H ≅ G/N.

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.