Subgroups — C₉×D₁₉⋊C₃ #11759905

Order 1026.

40 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₉×C₁₉⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented, Hall
2	C₃×D₁₉⋊C₃	C₃	1	1	yes	maximal, characteristic
3	C₉×D₁₉	C₃	1	1	yes	maximal, characteristic, complemented
4	#4294⋊C₂	C₃	1	2	yes	maximal, complemented
5	C₃×C₁₉⋊C₃	C₂×C₃	1	1	yes	characteristic
6	C₉×C₁₉	C₂×C₃	1	1	yes	characteristic, complemented
7	#4294	C₂×C₃	1	2	yes	complemented
8	C₃×D₁₉	C₃²	1	1	yes	characteristic
9	D₁₉⋊C₃	C₉	1	3	yes	direct product factor
10	C₃×C₁₉	C₂×C₃²	1	1	yes	characteristic
11	C₁₉⋊C₃	C₂×C₉	1	3	yes	complemented
12	C₂×C₃×C₉	—	19	1	no	maximal, Hall
13	D₁₉	C₃×C₉	1	1	yes	characteristic, complemented, Hall
14	C₃×C₉	—	19	1	no	Sylow
15	C₁₉	C₂×C₃×C₉	1	1	yes	characteristic, complemented, Sylow
16	C₂×C₃²	—	19	1	no	—
17	C₂×C₉	—	19	2	no	—
18	C₂×C₉	—	19	1	no	—
19	C₃²	—	19	1	no	—
20	C₉	—	19	2	no	—
21	C₉	D₁₉⋊C₃	1	1	yes	characteristic, direct product factor
22	C₂×C₃	—	19	3	no	—
23	C₂×C₃	—	19	1	no	—
24	C₃	—	19	3	no	—
25	C₃	C₃×D₁₉⋊C₃	1	1	yes	characteristic
26	C₂	—	19	1	no	Sylow

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.